Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

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S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

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What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

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About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

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Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

Lesson 1: Compare objects based on their attributes.Connecting Cubes
Lesson 3: Classify objects into two categories and count.Skye’s Style

Topic B: Answer How Many Questions with Up to 5 Objects

Lesson 3: Sort by Same ColorMatching Groups

Topic C: Write Numerals and Create Sets of Up to 5 Objects

Lesson 10: Count out a group of objects to match a numeral.Designing Shoes with Skye

Topic E: Answer How Many Questions with Up to 10 Objects

Lesson 19: Organize, count, and represent a collection of objects.Investigate: Cafeteria Math
Lesson 20: Count objects in 5-group and array configurations and match to a numeral.Fingers as Math Tools
Lesson 23: Conserve number regardless of the order in which objects are counted.Moving and Grooving

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

Lesson 1: Find and describe attributes of flat shapes.So Much Sorting
Lesson 2: Classify shapes as triangles or nontriangles.What’s That Shape Called?
Lesson 3: Classify shapes as circles, hexagons, or neither.What’s That Shape Called?
Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case.Another Shape

Module 3: Comparison

Topic C: Compare Sets Within 10

Lesson 12: Relate more and fewer to length.More, Fewer, or the Same
Forest Friends
Lesson 13: Compare sets by using more than, fewer than, and the same number as.Fingers and Counters
Comparing Words

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

Lesson 1: Compose flat shapes and count the parts.Investigate: Casey’s Town
Lesson 2: Decompose flat shapes and count the parts.How Many Objects?
Lesson 3: Decompose a group to identify parts and total.How Many Objects in Pictures?

Topic B: Record Composition and Decomposition

Lesson 5: Sort to decompose a number in more than one way.How Will You Count?
Lesson 6: Decompose a number in more than one way and record.Harry Explores the Ocean

Module 5: Addition and Subtraction

Topic A: Represent Addition

Lesson 1: Represent add to with result unknown story problems by using drawings and numbers.What Does It Mean to Add?

Topic B: Represent Subtraction

Lesson 8: Understand taking away as a type of subtraction.What Does It Mean to Subtract?

Topic C: Make Sense of Problems

Lesson 15: Identify the action in a problem to represent and solve it.The Bus Depot

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

Lesson 2: Organize and represent data to compare two categories.Shapes Ying Saw

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.Packing for a Picnic
Lesson 3: Subtract 1 or subtract 1 less than the total.What’s the Difference?
Leaping Lily Pads!

Topic B: Relate and Distinguish Addition and Subtraction

Lesson 5: Use the Read–Draw–Write process to solve result unknown problems.Investigate: Let’s Grow!
Lesson 6: Represent and solve related addition and subtraction result unknown problems.Tutu’s Garden in Maui
Lesson 7: Count on or count back to solve related addition and subtraction problems.The Kalo Plants

Topic C: Find an Unknown Part in Change Unknown Problems

Lesson 8: Interpret and find an unknown change.Replanting Huli
Lesson 11: Represent and solve take from with change unknown problems.Helping Others
A Community Working Together

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

Lesson 9: Make ten with either addend.Making 10
Kitten Coaster

Topic D: Reason about Ten as a Unit to Add or Subtract

Lesson 16: Identify ten as a unit.Same Number, Different Ways

Module 5: Place Value Concepts to Compare, Add, and Subtract

Topic A: Grouping Units in Tens and Ones

Lesson 2: Count a collection and record the total in units of tens and ones.Investigate: Game Points
Meeting Yara
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.It’s a Match
Lesson 6: Add 10 or take 10 from a two-digit number.How Many Cubes?

Topic D: Addition and Subtraction of Tens

Lesson 15: Count on and back by tens to add and subtract.Boris’s Thimbles
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.How Many Tens?

Level 2

Module 1: Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Topic A: Representing Data to Solve Problems

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.Exploring Within 10
Ways to Make 10
Lesson 4: Use information presented in a bar graph to solve compare problems.Awesome Aquariums

Topic C: Estimate, Measure, and Compare Lengths

Lesson 12: Model and reason about the difference in length.Lengths of Jungle Animals

Topic D: Solve Compare Problems by Using the Ruler as a Number Line

Lesson 15: Use a measuring tape as a number line to add efficiently.Investigate: Where Am I?
Time to Line Up!
What’s That Number?
Lesson 17: Represent and solve comparison problems by using measurement contexts.Greater Than, Less Than, or Equal to

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

Lesson 1: Reason about addition with four addends.Investigate: Activities at the Block Party

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

Lesson 1: Organize, count, and represent a collection of coins.Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 2: Use the fewest number of coins to make a given value.How Much Money?
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar.The Toy Stand
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.The Craft Stand at the Block Party

Topic B: Use Customary Units to Measure and Estimate Length

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.In Full Bloom

Topic C: Use Measurement and Data to Solve Problems

Lesson 15: Use measurement data to create a line plot.Messy Measurements
“Lesson 16: Create a line plot to represent data and ask and answer questions.
60 min
Bracelets and Wristbands

Level 3

Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model.Arrays of Flavor

Topic D: Two Interpretations of Division

Lesson 15: Model division as an unknown factor problem.It’s Chili in Here

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand.Investigate: Create a Photo Gallery

Topic C: Simplifying Strategies to Find Sums and Differences

Lesson 13: Collect and represent data in a scaled bar graph and solve related problems.Puppy Pile
Lesson 14: Use place value understanding to add and subtract like units.Adding Your Way
Lesson 15: Use the associative property to make the next ten to add.Panda Patterns
Lesson 16: Use compensation to add.How Would You Solve It?

Topic D: Two- and Three-Digit Measurement Addition and Subtraction

Lesson 20: Add measurements using the standard algorithm to compose larger units once.What is an Algorithm?
Using Fewer Digits
Lesson 21: Add measurements using the standard algorithm to compose larger units twice.Determining Sums of 2 or More Addends
Adding Strategically

Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9

Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7

Lesson 11: Use the break apart and distribute strategy to divide with units of 7.Relating Quotients to Familiar Products
Lesson 12: Solve one-step word problems involving multiplication and division.Division and Multiplication Equations

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

Lesson 2: Recognize area as an attribute of polygons.Investigate: Comparing Rugs
Which Covers More Space?
Lesson 3: Tile polygons to find their areas.Tiling Figures
Area Hunt

Topic B: Concepts of Area Measurement

Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area.Rectangles and Arrays
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area.Area Hunt

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs.2, 5, or 10?

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

Lesson 1: Interpret multiplication as multiplicative comparison.How Does It Grow?

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

Lesson 24: Recognize that a number is a multiple of each of its factors.Hamster Homes
Factor or Multiple?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.A Number Game

Module 4: Foundations for Fraction Operations

Lesson 1: Decompose whole numbers into a sum of unit fractions.

Lesson 1: Decompose whole numbers into a sum of unit fractions.Investigate: Building Your Own Number Line
Lesson 3: Decompose fractions into a sum of fractions.Math Pizzeria
Lesson 4: Represent fractions by using various fraction models.Fraction Strips
Chop It
Lesson 5: Rename fractions greater than 1 as mixed numbers.All Kinds of Fractions

Topic D: Add and Subtract Fractions

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.Pizza Problems

Topic F: Repeated Addition of Fractions as Multiplication

Lesson 32: Multiply a fraction by a whole number by using the associative property.Equal Groups of Fractions

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

Lesson 1: Organize, count, and represent a collection of money.Investigate: Different Units
Lesson 3: Represent tenths as a place value unit.A New Way to Write Tenths
Lesson 4: Write mixed numbers in decimal form with tenths.A New Way to Write Tenths

Topic B: Tenths and Hundredths

Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.Are They Equivalent?
Lesson 6: Represent hundredths as a place value unit.A New Way to Write Hundredths
Lesson 7: Write mixed numbers in decimal form with hundredths.A New Way to Write Hundredths

Topic C: Comparison of Decimal Numbers

Lesson 10: Use pictorial representations to compare decimal numbers.How Can You Compare?
Lesson 11: Compare and order decimal numbers.Robot Factory
What’s the Order?

Level 5

Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers

Topic B: Multiplication of Whole Numbers

Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.Partial Products Everywhere
Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.How Do They Compare?

Topic C: Division of Whole Numbers

Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients.Emptying the Water Tank

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

Lesson 1: Interpret a fraction as division.Investigate: Sharing Sandwiches
Sharing More Sandwiches
Dance Breaks
Lesson 3: Represent fractions as division by using models.Making Generalizations
Lesson 4: Solve word problems involving division and fractions.Division Story Problems

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

Lesson 7: Multiply fractions less than 1 by unit fractions pictorially.Investigate: Folding Paper
Lesson 8: Multiply fractions less than 1 pictorially.Parts of Parts
One Part of One Part
Rows and Columns
Lesson 9: Multiply fractions by unit fractions by making simpler problems.Messy Multiplication
Lesson 10: Multiply fractions greater than 1 by fractions.Making Food
Installing Turf
Lesson 11: Multiply fractions.Applying Fraction Multiplication
Chores at Animal Haven
The Re-size-inator

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting.Which is Largest
Lesson 18: Find the volume of right rectangular prisms by packing with improvised units.Packing the Barge

Topic D: Volume and the Operations of Multiplication and Addition

Lesson 25: Find the volumes of solid figures composed of right rectangular prisms.Putting It Together
Figures Made of Prisms

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

Lesson 6: Ratios Tables and Double Number LinesFruit Lab
Lesson 9: Multiplication Patterns in Ratio RelationshipsDisaster Preparation

Topic D: Rates

Lesson 16: SpeedWorld Records
Lesson 17: RatesMany Measurements
Soft Serve
Lesson 18: Comparing RatesWelcome to the Robot Factory
Lesson 19: Unit Rates to Convert UnitsModel Trains
More Soft Serve
Lesson 20: Solving Rate ProblemsLucky Duckies

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

Lesson 6: Dividing a Whole Number by a FractionFlour Planner
Lesson 8: Dividing Fractions by Making Common DenominatorsFill the Gap

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

Lesson 13: Decimal Addition and SubtractionDishing Out Decimals
Lesson 16: Applications of Decimal OperationsDecimal Diagrams and Algorithms

Topic F: Decimal Division

Lesson 21: Dividing a Decimals by a Whole NumberMovie Time
Lesson 22: Dividing a Decimal by a Decimal Greater than 1Movie Time
Lesson 23: Dividing a Decimal by a Decimal Less than 1Movie Time

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

Lesson 1: Positive and Negative NumbersCan You Dig It?
Lesson 3: Rational NumbersOrder in the Class

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

Lesson 9: Addition and Subtraction Expressions from the Real-WorldSubway Fares

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

Lesson 17: Equations and SolutionsFive Equations
Lesson 18: Inequalities and SolutionsHanging It Up
Tunnel Travels
Lesson 19: Solving Equations with Addition and SubtractionWeight for It
Lesson 20: Solving Equations with Multiplication and DivisionHanging Around
Lesson 21: Solving Problems with EquationsSwap and Solve

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

Lesson 1: The Area of a ParallelogramExploring Parallelograms, Part 1
Lesson 2: The Area of a Right TriangleOff the Grid, Part 2
Lesson 3: The Area of a TriangleExploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 4: Areas of Triangles in Real-World SituationsExploring Triangles

Topic B: Problem Solving with Area

Lesson 5: Perimeter and Area in the Coordinate PlaneShapes on a Plane
Lesson 6: Problem Solving with Area in the Coordinate PlaneLetters
Lesson 7: Areas of Trapezoids and Other PolygonsTriangles and Parallelograms
Lesson 8: Areas of Composite Rigures in Real-World SituationsPile of Polygons

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

Lesson 2: Describing a Data DistributionHoops
Lesson 3: Creating a Dot PlotMinimum Wage
Lesson 4: Creating a HistogramThe Plot Thickens

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

Lesson 1: An Experiment with Ratios and RatesPaint
Lesson 2: Exploring Tables and Proportional RelationshipsTwo and Two
Lesson 4: Exploring Graphs of Proportional RelationshipsDinoPops

Topic C: Scale Drawing and Proportional Relationships

Lesson 14: Extreme BicyclesScaling Machines
Lesson 15: Scale DrawingScaling Robots
Lesson 16: Using Scale FactorScale Factor Challenges
Lesson 17: Finding Actual Distances from ScaleMake it Scale
Lesson 18: Relating Areas of Scale DrawingTiles
Will It Fit

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

Lesson 8: Subtracting Integers, Part 1More Floats and Anchors
Lesson 10: Subtracting Rational Numbers, Part 1Draw Your Own

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

Lesson 18: Understanding Inequalities and Their SolutionsI Saw the Signs
Lesson 19: Using Equations to Solve InequalitiesUnbalanced Hangers
Lesson 20: Preserving and ReversingShira the Sheep
Lesson 21: Solving Two-Step InequalitiesBudgeting
Lesson 22: Solving Problems Involving InequalitiesWrite Them and Solve Them

Module 4: Geometry

Topic A: Constructing Geometric Figures

Lesson 3: Side Lengths of a TriangleCan You Build It
Lesson 4: Angles of a TriangleFriendly Angles

Topic C: Circumference and Areas of Circles

Lesson 10: The Outside of a CicleMeasuring Around
Lesson 11: The Inside of a CircleWhy Pi?
Lesson 14: Composite Figures with Circular RegionsArea Challenges

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

Lesson 3: Percent as a Rate per 100Mosaics
Lesson 4: Proportion and PercentMore and Less

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

Lesson 16: Markups and Discount100%
Lesson 18: Simple Interest – Solving for Unknown ValuesPercent Machines

Topic E: Problems Involving Percent

Lesson 20: Making Money, Day 1Back in My Day

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

Lesson 2: Empirical ProbabilityHow Likely
Lesson 4: Theoretical ProbabilityProb-bear-bilities

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

Lesson 2: Comparing Large NumbersSpecific and Scientific (formerly Solar System)
Lesson 4: Adding and Subtracting Numbers Written in Scientific NotationBalance the Scale

Topic B: Properties and Definitions of Exponents

Lesson 6: More Properties of ExponentsCircles
Lesson 7: Making Sense of the Exponent 0Power Pairs

Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem

Lesson 18: The Pythagorean TheoremTriangle Tracing Turtle
Lesson 19: Using the Pythagorean TheoremTaco Truck
Lesson 23: Ordering Irrational NumbersRoot Down

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

Lesson 1: Motions in the PlaneTransformers
Moving Day
Lesson 2: TranslationsSpinning, Flipping, Sliding
Moving Day
Lesson 4: Translations and Reflections on the Coordinate PlaneGetting Coordinated, Part 1
Lesson 6: Rotations on the Coordinate PlaneGetting Coordinated, Part 2

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

Lesson 1: Exploring DilationsSketchy Dilations
Lesson 3: Reductions and More EnlargmentsDilation Mini Golf

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

Lesson 16: Proportional Relationships and SlopeTurtle Time Trials
Lesson 17: Slopes of Rising LinesFlags
Ups and Downs
Lesson 18: Slopes of Falling LinesFlags
Water Cooler
Ups and Downs

Topic E: Different Forms of a Linear Equation

Lesson 20: Slope-Intercept form of the Equation of a LineStacking Cups (Optional)
Lesson 21: Slopes and Parallel LinesTranslations

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

Lesson 1: Solving Problems with Equations and Their GraphsMake Them Balance

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

Lesson 1: Motion and SpeedTurtle Crossing
Lesson 2: Definition of a FunctionGuess My Rule

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

Lesson 11: Scatter PlotsRobots
Dapper Cats
Lesson 12: Patterns in Scatter PlotsInterpreting Scatter Plots
Lesson 13: Informally Fitting a Line to DataFind the Fit (called Fit Fights in Desmos Math)
Lesson 14: Determining an Equation of a Line Fit to DataInterpreting Slopes
Lesson 15: Linear ModelAnimal Brains
Lesson 16: Using the Investigative ProcessScatter Plot City
Lesson 17: Analyzing the ModleScatter Plot City

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

Lesson 22: Volume of a CylinderCylinders
Lesson 23: Volume of ConesCones

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

Lesson 1: The Growing Pattern of DucksMore Visual Patterns
Lesson 8: Solution Sets for Equations and Inequalities in One VariableSame Position
Lesson 9: Solving Linear Equations in One VariableWorking Backwards
Solving Strategies
Lesson 12: Rearranging FormulasSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 13: Solving Linear Inequalities in One VariablePizza Delivery
Lesson 21: Describing Variability in a Univariate Distribution with Standard DeviationFinding Desmo

Module 2: Equations and Inequalities in Two Variables

Lesson 1: Solution Sets of Linear Equations in Two VariablesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 6: Applications of Linear Equations and InequalitiesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Pizza Delivery
Lesson 8: Systems of Linear Equations in Two VariablesShape It Up
Lizard Lines
Lesson 12: Solution Sets of Systems of Linear InequalitiesQuilts
Lesson 13: Graphing Solution Sets of Systems of Linear InequalitiesSeeking Solutions
Lesson 16: Using Lines to Model Bivariate Quantitative DataCity Data
Lesson 17: Modeling Relationships with a LinePenguin Populations
Lesson 18: Calculating and Analyzing ResidualsResidual Fruit
Lesson 20: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 21: Analyzing Bivariate Quantitative DataBehind the Headlines

Module 3: Functions and Their Representations

Lesson 7: Exploring Key Features of a Function and Its GraphCraft-a-Graph
Lesson 17: Piecewise Linear Functions in ContextPumpkin Prices

Module 4: Quadratic Functions

Topic A: Quadratic Functions and Their GraphsRobot Launch
Lesson 1: Falling ObjectsQuadratic Visual Patterns
Lesson 2: Projectile MotionStomp Rockets
Lesson 3: Analyzing Functions That Model Projectile MotionStomp Rockets in Space
Lesson 4: Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Lesson 5: Solving Equations that Contain Factored ExpressionsShooting Stars
Lesson 11: Graphing Quadratic Functions from Factored FormTwo for One
Parabola Zapper
Lesson 14: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 27: Search and Rescue HelicopterCity Data

Module 5: Linear and Exponential Functions

Topic A: Arithmetic and Geometric SequencesMore Visual Patterns
Sequence Carnival
Lesson 8: Exponential FunctionsCarlos’s Fish
Topic A: Arithmetic and Geometric SequencesSequence Carnival
Topic A: Arithmetic and Geometric SequencesRevisiting Visual Patterns, Part 1
Lesson 18: Modeling PopulationsSorting Relationships
Lesson 20: Comparing Growth of FunctionsPlane, Train, and Automobile
Sorting Relationships

Module 6: Modeling with Functions

Topic A: Modeling Bivariate Quantitative DataCity Data
Topic B: Developing Models for ContextsDetroit’s Population, Part 1
Detroit’s Population, Part 2

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Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsDesmos Math 6–A1
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane [Free lesson]
Lesson 2: Finding Area by Decomposing and Rearranging
Lesson 3: Reasoning to Find Area
Unit 1
Lesson 2: Letters
Topic 2: Parallelograms
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 8: Area of TrianglesUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 9: Formula for the Area of a Triangle
Lesson 10: Bases and Heights of Triangles
Unit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Topic 4: Polygons
Lesson 11: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons
Practice Day 1 (Print available)
Unit 7
Lesson 11: Polygon Maker
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 9: Renata´s Stickers [Free lesson]
Lesson 13: PolyhedraUnit 1Lesson 10: Plenty of Polyhedra
Lesson 14: Nets and Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 13: Take It To Go
Lesson 15: More Nets, More Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Practice Day 2 (Print available)
Lesson 16: Distinguishing Between Surface Area and Volume
Topic 6: Squares and Cubes 
Lesson 17: Squares and CubesUnit 6
Lesson 12: Squares and Cubes
Lesson 18: Surface Area of a Cube 
Topic 7: Let’s Put It to Work 
Lesson 19: Designing a TentUnit 1
Lesson 13: Take It To Go (Print available)

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)
Lesson 2: Representing Ratios with DiagramsUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)Lesson 3: Rice Ratios (Print available)
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 3: Rice Ratios (Print available)
Lesson 4: Color MixturesUnit 2Lesson 7: Mixing Paint, Part 1Lesson 12: Mixing paint, Part 2
Lesson 5: Defining Equivalent RatiosUnit 2Lesson 3: Rice Ratios (Print available)Lesson 4: Fruit Lab [Free lesson]Lesson 11: Community LifePractice Day 1 (Print available)
Topic 3: Representing Equivalent ratios
Lesson 6: Introducing Double Number Line DiagramsUnit 2Lesson 5: Balancing Act
Lesson 7: Creating Double Line DiagramsUnit 2Lesson 5: Balancing ActLesson 6: Product prices (Print available)
Lesson 8: How Much for One?Unit 2Lesson 6: Product prices (Print available)
Lesson 9: Constant SpeedUnit 2Lesson 8: World Records (Print available)
Lesson 10: Comparing Situations by Examining RatiosUnit 2Lesson 7: Mixing Paint, Part 1 
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2Lesson 9: Disaster Preparation [Free lesson]
Lesson 12: Navigating a Table of Equivalent Ratios
Lesson 13: Tables and Double Line Diagrams
Unit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1
Lesson 14: Solving Equivalent Ratio ProblemsUnit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1Lesson 10: BalloonsLesson 11: Community Life (Print available)
Topic 5: Part-Part-Whole Ratios
Lesson 15: Part-Part-Whole RatiosUnit 2Lesson 12: Mixing paint, Part 2Lesson 13: City Planning
Lesson 16: Solving More Ratio ProblemsUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Topic 6: Let’s Put It to Work 
Lesson 17: A Fermi ProblemUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)Practice Day 2 (Print available)

Unit 3: Rates and Percentages

Topic 1: Units of Measurement 
Lesson 1: The Burj KhalifaUnit 3
Lesson 4: Model Trains
Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements (Print available) [Free lesson]
Lesson 3: Measuring with Different-Sized Units
Lesson 4: Converting Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 8: More About Constant SpeedUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 9: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 11: Percentages and Double Number LinesUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 12: Percentages and Tape DiagramsUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 13: Benchmark percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 14: Solving Percentage Problems
Lesson 15: Finding This Percent of That
Lesson 16: Finding the Percentage
Unit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Topic 5: Let’s Put It to Work 
Lesson 17: Painting a RoomUnit 3
Lesson 13: A Country as a Village
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]

Unit 4: Dividing Fractions

Topic 1: Making Sense of Division 
Lesson 1: Size of Divisor and Size of Quotient
Lesson 2: Meanings of Division
Unit 4Lesson 1: Cookie Cutter
Lesson 3: Interpreting Division SituationsUnit 4Lesson 2: Making Connections (Print available)
Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters 
Lesson 5: How Many Groups (Part 2)Unit 4Lesson 5: Garden Bricks (Print available)
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson]
Lesson 7: What Fraction of a Group?
Lesson 8: How Much in Each Group? (Part 1)
Lesson 9: How Much in Each Group? (Part 2)
Unit 4Lesson 8: Potting Soil
Topic 3: Algorithm for Fraction Division
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges 
Lesson 11: Using an Algorithm to Divide FractionsUnit 4Lesson 9: Division ChallengesPractice Day
Topic 4: Fractions in Lengths, Areas, and Volumes
Lesson 12: Fractional LengthsUnit 4Lesson 11: Classroom Comparisons
Lesson 13: Rectangles with Fractional Side LengthsUnit 4Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 14: Fractional Lengths in Triangles and Prisms
Lesson 15: Volume of PrismsUnit 4Lesson 13: Volume Challenges
Topic 5: Let’s Put It to Work
Lesson 16: Solving Problems with FractionsUnit 4Lesson 10: Swap Meet (Print available)
Lesson 17: Fitting Boxes into BoxesUnit 4Lesson 14: Planter Planner (Print available)

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Topic 2: Adding and Subtracting Decimals
Lesson 2: Using Decimals to Represent Addition and SubtractionUnit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero DigitsUnit 5Lesson 4: Missing Digits
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits 
Topic 3: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5Lesson 6: Multiplying with Areas
Topic 4: Dividing Decimals
Lesson 9: Using the Partial Quotients MethodUnit 5Lesson 8: Division Diagrams
Lesson 10: Using Long DivisionUnit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in Decimals
Lesson 12: Dividing Decimals by Whole Numbers
Lesson 13: Dividing Decimals by Decimals
Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5Lesson 11: Movie Time [Free lesson]
Lesson 15: Making and Measuring Boxes
Lesson 12: Dividing Decimals by Whole Numbers 
Lesson 13: Dividing Decimals by DecimalsUnit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)
Lesson 3: Staying in BalanceUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging Around
Lesson 4: Practice Solving Equations and Representing Situations with EquationsUnit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Lesson 5: A New Way to Interpret a and bUnit 6Lesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Topic 2: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for NumbersUnit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Lesson 7: Revisit PercentagesUnit 3Lesson 10: What’s Missing?Lesson 11: Cost BreakdownLesson 12: More Bicycle Goals
Lesson 8: Equal and EquivalentUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging AroundLesson 6: Vari-apples
Topic 9: The Distributive Property, Part 1Unit 6Lesson 8: Products and Sums [Free lesson]
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences (Print available)
Topic 3: Expressions with Exponents
Lesson 12: Meaning of ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)
Lesson 13: Expressions with Exponents
Lesson 14: Evaluating Expressions with Exponents
Lesson 15: Equivalent Exponential Expressions
Unit 6Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes
Topic 4: Relationships Between Quantities 
Lesson 16: Two Related Quantities, Part 1
Lesson 17: Two Related Quantities, Part 2
Lesson 18: More Relationships
Unit 6Lesson 13: Turtles All the WayLesson 14: Representing RelationshipsLesson 15: Connecting Representations (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6Lesson 16: Subway fares (Print available) [Free lesson]

Unit 7: Rational Numbers

Topic 1: Positive and Negative Numbers
Lesson 1: Positive and Negative NumbersUnit 7Lesson 1: Can You Dig In [Free lesson]Lesson 2: Digging Deeper
Lesson 2: Points on the Number LineUnit 7Lesson 2: Digging Deeper
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 5: Using Negative Numbers to make Sense of ContextsUnit 7 Lesson 4: Sub-Zero
Lesson 6: Absolute Value of Numbers
Lesson 7: Comparing Numbers and Distance from Zero
Unit 7Lesson 5: Distance on the Number Line
Topic 2: Inequalities
Lesson 8: Writing and Graphing InequalitiesUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions
Topic 3: The Coordinate Plane
Lesson 11: Points on the Coordinate Plane
Lesson 12: Constructing the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 13: Interpreting Points on a Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 14: Distances on a Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Lesson 15: Shapes on the Coordinate PlaneUnit 1Lesson 1: Shapes on a Plane [Free lesson]Lesson 2: LettersLesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsUnit 7Lesson 3: Exploring Parallelograms (Print available)Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Topic 4: Common Factors and Common Multiples
Lesson 16: Common FactorsUnit 5Lesson 15: Common factors
Lesson 17: Common MultiplesUnit 5Lesson 14: Common Multiples
Lesson 18: Using Common Multiples and Common FactorsUnit 5Lesson 14: Common MultiplesLesson 15: Common factorsPractice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Drawing on the Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Topic 1: Data, Variability, and Statistical Questions
Lesson 1: Got Data?
Lesson 2: Statistical Questions
Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots
Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic 3: Measures of Center and Variability
Lesson 9: Mean
Lesson 10: Finding and Interpreting the Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 11: Variability and MADUnit 8Lesson 8: Pop It!
Lesson 12: Using Mean and MAD to Make ComparisonsUnit 8Lesson 9: Hoops
Topic 4: Median and IQR
Lesson 13: MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 14: Comparing Mean and MedianUnit 8Lesson 12: In the News
Lesson 15: Quartiles and Interquartile RangeUnit 8Lesson 13: Pumpkin Patch
Lesson 16: Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 17: Using Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 18: Using Data to Solve ProblemsUnit 8Lesson 16: Hollywood Part 3 (Print available)

Unit 9: Putting It All Together

Topic 1: Making Connections
Lesson 1: Fermi Problems
Lesson 2: In Our Class Were the World
Unit 3Lesson 13: A Country as a Village
Lesson 3: Rectangle MadnessUnit 5Lesson 14: Common MultiplesLesson 15: Common factors
Topic 2: Voting
Lesson 4: How Do We Choose?Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Lesson 5: More than Two ChoicesUnit 3Lesson 13: A Country as a Village
Lesson 6: Picking RepresentativesUnit 8Lesson 16: Hollywood Part 3 (Print available)

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Corresponding Parts and Scale FactorsUnit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks
Lesson 3: Making Scaled Copies
Lesson 4: Scaled Relationship
Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes
Lesson 5: The Size and the Scale FactorUnit 1Lesson 4: Scale Factor Challenges
Lesson 6: Scaling and AreaUnit 1Lesson 5: TilesPractice Day 1 (Print available)
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scale Drawings and Maps 
Lesson 9: Creating Scale Drawings
Lesson 10: Changing Scales in Scale Drawings
Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available)
Topic 3: Let’s Put It to Work
Lesson 13: Draw It to ScaleUnit 1Lesson 10: Room Redesign (Print available)

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2Lesson 1: Paint [Free lesson] 
Lesson 2: Introducing Proportional Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 7: Comparing Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 8: Comparing Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency
Lesson 9: Solving Problems About Proportional RelationshipsUnit 2Lesson 12: Water Efficiency
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency
Topic 5: Let’s Put It to Work
Lesson 14: For RepresentationsUnit 2Lesson 11: Four Representations (Print available)
Lesson 15: Using Water EfficiencyUnit 2Lesson 12: Water Efficiency

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3Lesson 1: Toothpicks
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 5: Circumference and Wheels 
Topic 2: Area of a Circle
Lesson 6: Estimating AreasUnit 3Lesson 5: Area Strategies
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 9: Applying Area of CirclesUnit 3Lesson 6: Radius Squares (Print available)
Topic 3: Let’s Put It to Work
Lesson 10: Distinguishing Circumference and AreaUnit 3Lesson 7: Why Pi?
Lesson 11: Stained-Glass WindowsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 5: Say It with Decimals 
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 7: One Hundred percentUnit 4Lesson 6: 100% (Print available)
Lesson 8: Percent Increase and Decrease with EquationsUnit 4Lesson 5: All the Equations
Lesson 9: More and Less than 1% 
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 12: Finding the PercentagesUnit 4Lesson 4: More and Less
Lesson 13: Measurement Error
Lesson 14: Percent Error
Lesson 15: Error Intervals
Unit 4Lesson 11: Bookcase Builder
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5Lesson 1: Floats and Anchors [Free lesson]
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 4: Money and Debts 
Lesson 5: Representing SubtractionUnit 5Lesson 5: Number Puzzles
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Topic 3: Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction
Lesson 9: Multiplying Rational Numbers
Lesson 10: Multiply!
Unit 5Lesson 7: Back in Time
Lesson 11: Dividing Rational NumbersUnit 5Lesson 8: Speeding Turtles
Lesson 12: Negative Rates 
Topic 4: Four Operations with Rational Numbers 
Lesson 13: Expressions with Rational NumbersUnit 5Lesson 9: Expressions (Print available)
Lesson 14: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Topic 5: Solving Equations When There Are Negative Numbers 
Lesson 15: Making and Measuring Boxes 
Lesson 16: Representing Contexts with Equations 
Topic 6: Let’s Put It to Work 
Lesson 17: The Stock market

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r
Lesson 1: Relationships Between Quantities
Unit 2 Lesson 1: Paint [Free lesson] Lesson 2: Balloon Float
Unit 4 Lesson 1: Mosaics [Free lesson] Lesson 2: Peach Cobbler (Print available)
Unit 6 Lesson 1: Toothpicks and Tiles
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Unit 6Lesson 2: Smudged ReceiptsLesson 3: EquationsLesson 4: Seeing Structure (Print available)
Lesson 6: Distinguishing between Two Types of SituationsUnit 6Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)
Topic 2: Solving Equations of the Form px + q and p(+ q) = and Problems That lead to Those Equations 
Lesson 7: Reasoning about Solving Equations (Part 1)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available) 
Lesson 8: Reasoning about Solving Equations (Part 2)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 9: Always-Equal Machines
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6Lesson 7: Keeping It True (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)
Lesson 11: Using Equations to Solve ProblemsUnit 6Lesson 12: Community Day (Print available)
Lesson 12: Solving Problems about Percent Increase or DecreaseUnit 4Lesson 10: Cost of College (Print available)
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6Lesson 13: I Saw the SignsLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15 Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available) 
Lesson 19: Expanding and FactoringUnit 6Lesson 8: Factoring and Expanding (Print available)Lesson 11: Equation Roundtable (Print available)
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Practice Day 1 (Print available)
Topic 5: Let’s Put It to Work
Lesson 23: Applications of ExpressionsUnit 6Lesson 12: Community Day (Print available)

Unit 7: Angles, Triangles, and Prisms

Topic 1: Angle Relationships
Lesson 1:Relationships of Angles
Unit 7 Lesson 1: Pinwheels Lesson 2: Friendly Angles [Free lesson] Lesson 3: Angle Diagrams
Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 4: Solving for Unknown AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available)
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic 2: Drawing Polygons with Given Conditions 
Lesson 6: Building Polygons (Part 1)
Lesson 7: Building Polygons (Part 2)
Unit 7Lesson 6: Is It Enough?
Lesson 8: Triangles with 3 Common MeasuresUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Topic 3: Solid Geometry
Lesson 11: Slicing SolidsUnit 7Lesson 9: Slicing Solids
Lesson 12: Volume of Right PrismsUnit 7Lesson 10: Simple Prisms
Lesson 13: Decomposing Bases for AreasUnit 7Lesson 11: More Complicated Prisms
Lesson 14: Surface Area of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available)
Lesson 15: Distinguishing Volume and Surface Area
Lesson 16: Applying Volume and Surface AreaUnit 7Lesson 13: Popcorn Possibilities
Topic 4: Let’s Put It to Work
Lesson 17: Building Prisms

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8 Lesson 1: How Likely? (Print available) [Free lesson] Lesson 2: Prob-bear-bilities [Free lesson] Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: More Estimating ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Estimating Probabilities Using SimulationUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 2: Probabilities of Multi-step Events
Lesson 7: Simulating Multi-step EventsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Lesson 8: Keeping Track of All Possible OutcomesUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Topic 9: Multi-step experiments
Lesson 10: Designing SimulationsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)
Topic 5: Let’s Put It to Work
Lesson 20: Memory TestUnit 8Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1Lesson 1: Transformers [Free lesson]
Lesson 2: Naming the MovesUnit 1Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Grid MovesUnit 1Lesson 3: Transformation GolfLesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting CoordinatedUnit 3Lesson 6: Translations
Lesson 4: Making the MovesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 5: Coordinate MovesUnit 1Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1Lesson 5: Getting CoordinatedLesson 6: Connecting the Dots [Free lesson]
Topic 2: Properties of Rigid Transformations 
Lesson 7: No Bending or StretchingUnit 1Lesson 7: No Bending, No Stretching
Lesson 8: Rotation PatternsUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 9: Moves in Parallel
Lesson 10: Composing Figures
Unit 1 Lesson 10: Transforming Angles
Topic 3: Congruence 
Lesson 11: What is the Same?
Lesson 12: Congruent Polygons
Lesson 13: Congruence
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?Practice Day (Print available)
Topic 4: Angles in a Triangle
Lesson 14: Alternate Interior Angles
Lesson 15: Adding the Angles in a Triangle
Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 16: Parallel Lines and the Angles in a TriangleUnit 1 Lesson 10: Transforming Angles
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate [Free lesson]

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Similar Polygons 
Lesson 8: Similar Triangles
Lesson 9: Side Length Quotients in Similar Triangles
Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Topic 3: Slope
Lesson 10: Meet SlopeUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day (Print available)Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 11: Writing Equations of LinesUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: SolutionsLesson 11: Pennies and Quarters Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 12: Using Equations of LinesUnit 3Lesson 9: Coin Capture
Topic 4: Let’s Put It to Work
Lesson 13: The Shadow KnowsUnit 2Lesson 8: Shadows

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Graphs of Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Unit 5Lesson 4: Window Frames
Lesson 3: Representing Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window FramesLesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Comparing Proportional RelationshipsUnit 3Lesson 3: Posters
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 4: Stacking CupsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: More Linear RelationshipsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 7: Representations of Linear RelationshipsUnit 3Lesson 5: Flags [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 8: Translating mx + bUnit 3Lesson 3: PostersLesson 6: Translations
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 11: Equations of All Kinds of LinesUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Topic 4: Linear Equations 
Lesson 12: Solutions to Linear EquationsUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: More Solutions to Linear EquationsUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: Solutions
Topic 5: Let’s Put It to Work 
Lesson 14: Using Linear Relations to Solve ProblemsUnit 3 Lesson 11: Pennies and Quarters

Unit 4: Linear Equations and Linear Systems

Topic 1: Puzzle Problems 
Lesson 1: Number PuzzlesUnit 4Lesson 1: Number machines
Topic 2: Linear Equation in One Variable 
Lesson 2: Keeping the Equation BalancedUnit 4Lesson 2: Keep It Balanced
Lesson 3: Balanced MovesUnit 4Lesson 3: Balanced Moves
Lesson 4: More Balanced MovesUnit 4Lesson 4: More Balanced Moves (Print available)
Lesson 5: Solving Any Linear EquationUnit 4Lesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Strategic SolvingUnit 4Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or No Solutions
Lesson 8: How many Solutions?
Unit 4Lesson 7: All, Some, or None?
Lesson 9: When Are They the SameUnit 4Lesson 8: When Are They the Same?
Topic 3: Systems of Linear Equations
Lesson 10: On or Off the Line?Unit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4 Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 14: Solving More Systems 
Lesson 15: Writing Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Problems with Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Introduction to FunctionsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]Lesson 3: Function or Not?
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Even More Graphs of Functions 
Lesson 7: Connecting Representations of FunctionsUnit 5Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: (Print available)Charge!
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 2Lesson 9: Water SlideLesson 10: Points on a PlaneUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 9: Linear ModelsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 10: Piecewise Linear FunctionsUnit 5Lesson 9: Piecing It Together
Topic 4: Cylinder and Cones 
Lesson 11: Filling Containers 
Lesson 12: How Much Will Fit? 
Lesson 13: The Volume of a CylinderUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 14: Missing Dimensions (Print available)
Lesson 15: The Volume of a ConeUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 16: Finding Cone DimensionsUnit 5Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Topic 5: Dimensions and Spheres 
Lesson 17: Scaling One DimensionUnit 5Lesson 12: Scaling Cylinders
Lesson 18: Scaling Two Dimensions 
Lesson 19: Estimating a Hemisphere 
Lesson 20: The Volume of a Sphere
Lesson 21: Cylinders, Cones, and Spheres
Unit 5Lesson 15: SpheresPractice Day 2 (Print available)
Topic 6: Let’s Put It to Work 
Lesson 22: Volume As a Function of …Unit 5Lesson 15: Spheres

Unit 6: Associations in Data

Topic 1: Does This Predict That? 
Lesson 1: Organizing DataUnit 6 Lesson 1: Click Battle
Lesson 2: Plotting DataUnit 6 Lesson 2: Wing Span
Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 4: Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 5: Describing Trends in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City(Print available)Practice Day 1 [Free lesson]
Lesson 6: The Slope of a Fitted LineUnit 6 Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 8: Analyzing Bivariate DataUnit 6Lesson 9: Tasty Fruit
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 11: Federal BudgetsPractice Day 3 (Print available)
Lesson 10: Using Data Displays to Find associationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 9: Tasty Fruit
Topic 4: Let’s Put It to Work
Lesson 11: Gone in 30 SecondsUnit 6Lesson 11: Federal Budgets

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents
Topic 2: Exponent Rules 
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers  
Lesson 5: Negative Exponents with Powers of 10Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: What about Other Bases? 
Lesson 7: Practice with Rational Bases
Lesson 8: Combining Bases 
Topic 3: Scientific Notation 
Lesson 9: Describing Large and Small Numbers using Powers of 10Unit 7 Lesson 7: Scales and Weights
Lesson 10: Representing Large Numbers on the Number Line
Lesson 11: Representing Small Numbers on the Number Line
Unit 7 Lesson 8: Point Zapper
Lesson 12: Applications of Arithmetic with Powers of 10Unit 7  Lesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power
Topic 4: Let’s Put It to Work
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?Lesson 13: Star Power Practice Day 2 (Print available)

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side LengthsUnit 8Lesson 1: Tilted Squares
Lesson 2: Side Lengths and AreasUnit 8Lesson 2: From Squares to RootsLesson 3: Between Squares
Lesson 3: Rational and Irrational Numbers
Lesson 4: Square Roots on the Number Line
Lesson 5: Reasoning about Square RootsUnit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available)
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 7: A Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 8: Finding Unknown Side LengthsUnit 8Lesson 11: Pond Hopper
Lesson 9: The ConverseUnit 8Lesson 9: Make It Right
Lesson 10: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco Truck [Free lesson]
Lesson 11: Finding Distances in the Coordinate PlaneUnit 8Lesson 11: Pond Hopper
Topic 3: Side Lengths and Volumes of Cubes
Lesson 12: Edge Lengths and Volumes
Lesson 13: Cube Roots
Unit 8Lesson 5: Filling Cubes
Topic 4: Decimal Representation of Rational and Irrational Numbers
Lesson 14: Decimal Representation of Rational and Numbers
Lesson 15: Infinite Decimal expansions
Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8Lesson 10: Taco Truck [Free lesson]

Unit 9: Putting It All Together

Topic 1: Tessellations
Lesson 1: Tessellations of the Plane
Lesson 2: Regular Tessellations
Lesson 3: Tessellating Polygons
Topic 2: The Weather
Lesson 4: What Influences Temperature?
Lesson 5: Plotting the Weather
Lesson 6: Using and Interpreting a Mathematical Model

1. Scope

These Customer Terms and Conditions are a legal agreement between Amplify Education, Inc. (“Amplify”) and the local education agency or authority, school district, school network, independent school, or other regional education system (“Customer”) for the license and use of one or more of Amplify products or services (the “Products”), as specified in the receipt, price quote, proposal, renewal letter, or other ordering document containing the details of this purchase (the “Quote”). These Customer Terms and Conditions, all addenda, attachments, and the Quote, as applicable (together, the “Agreement”), constitute the entire agreement between the parties relating to the subject matter hereof. The provisions of this Agreement will supersede any conflicting terms and conditions in any Customer purchase order, other correspondence or verbal communication, and will supersede and cancel all prior agreements, written or oral, between the parties relating to the subject matter hereof.

2. Agreement Acceptance

This Agreement becomes effective at the earliest of the following: (i) issuing a purchase order, shipment request, or payment against the Quote; (ii) accessing, downloading, or using the Products; or (iii) otherwise accepting this Agreement. This term of the Agreement will be as specified in the Quote and may be renewed or extended by mutual agreement of the parties. Customer represents and warrants that: (1) Customer is of legal age to accept this Agreement; (2) Customer is authorized to accept this Agreement and to access and use the Products; and (3) Customer’s use of the Products will comply at all times with Amplify’s Acceptable Use Policy available at amplify.com/acceptable-use (“AUP”). The Customer may not access, download, or use the Products if the Customer does not agree to this Agreement.

3. License

Subject to the terms and conditions of the Agreement, Amplify grants to Customer a non-exclusive, non-transferable, non-sublicensable license to access and use, and permit Authorized School Users, as defined below, to access and use the Products in accordance with the AUP, for the duration specified in the Quote (the “Term”), and for the number of Authorized School Users specified in the Quote for whom Customer has paid the applicable fees to Amplify. “Authorized School User” means the K–12 students registered or authorized for instruction with Customer and the educators, agents and staff members who use the Products as authorized by Customer who Customer permits to access and use the Products subject to the terms and conditions of the Agreement, solely while such individual is so employed or so registered. Each Authorized School User’s access and use of the Products will be subject to the AUP in addition to the terms and conditions of the Agreement. Violations of this Agreement or the AUP may result in suspension or termination of the applicable account.

4. Restrictions

Customer may access and use the Products solely for non-commercial instructional and administrative purposes. Guidelines for such purposes may be set forth at
https://amplify.com/amplify-program-usage-guidelines/ and additional guidelines may be detailed in materials associated with the Product the Customer is accessing. Further, Customer may not, except as expressly authorized by Amplify: (a) copy, modify, translate, distribute, disclose, or create derivative works based on the contents of, sell, or otherwise exploit, the Products, or any part thereof; (b) decompile, disassemble, reverse engineer the Products, or otherwise use the Products to develop functionally similar products or services; (c) modify, alter, or delete any of the copyright, trademark, or other proprietary notices in or on the Products; (d) rent, lease, or lend the Products or use the Products for the benefit of any third party; (e) avoid, circumvent, or disable any security or digital rights management device, procedure, protocol, or mechanism in the Products; (f) use any content from the Products, including but not limited to text, images, videos, assessments, lesson plans, or code, as input or training material for any machine learning or artificial intelligence system, including large language models, neural networks, or other algorithmic models, for any purposes, commercial or non-commercial; or (g) permit any Authorized School User or third party to do any of the foregoing. Customer also agrees that any works created in violation of this section are derivative works, and, as such, Customer agrees to assign, and hereby assigns, all right, title, and interest in such works to Amplify. The Products and derivatives thereof may be subject to export control laws, restrictions, regulations, and orders of the U.S. and other jurisdictions (together, “Export Laws”). Customer agrees to comply with all applicable Export Laws, and will not, and will not permit Authorized School Users to, export, or transfer for the purpose of re-export, any Product to any prohibited or embargoed country in violation of any U.S. export law or regulation. Further, Customer represents that it is not a party subject to sanctions by the U.S. Office of Foreign Assets Control or included on any restricted party list maintained by the U.S. Bureau of Industry and Security. The software and associated documentation portions of the Products are “commercial items” (as defined at 48 CFR 2.101), comprising “commercial computer software” and “commercial computer software documentation,” as those terms are used in 48 CFR 12.212. Accordingly, if Customer is the U.S. Government or its contractor, Customer will receive only those rights set forth in this Agreement in accordance with 48 CFR 227.7201-227.7204 (for Department of Defense and their contractors) or 48 CFR 12.212 (for other U.S. Government licensees and their contractors).

5. Reservation of Rights

SUBSCRIPTION PRODUCTS ARE LICENSED, NOT SOLD. Subject to the limited rights expressly granted hereunder, all rights, title, and interest in and to all Products, including all related IP Rights, are and will remain the sole and exclusive property of Amplify or its third-party licensors. “IP Rights” means, collectively, rights under patent, trademark, copyright, and trade secret laws, and any other intellectual property or proprietary rights recognized in any country or jurisdiction worldwide. Customer must promptly notify Amplify of any violation of Amplify’s IP Rights in the Products, and will reasonably assist Amplify as necessary to remedy any such violation. Amplify Products are protected by patents (see amplify.com/virtual-patent-marking). Amplify reserves the right to update or modify the Products at any time and to discontinue the Products upon reasonable notice.

6. Payments

In consideration of the Products, Customer will pay to Amplify (or other party designated on the Quote) the fees specified in the Quote in full within 30 days of the date of invoice, except as otherwise agreed by the parties or for those amounts that are subject to a good faith dispute of which Customer has notified Amplify in writing. Customer will be responsible for all state or local sales, use or gross receipts taxes, and federal excise taxes unless Customer provides a then-current tax exemption certificate in advance of the delivery, license, or performance of any Product, as applicable.

7. Shipments

Unless otherwise specified on the Quote, physical Products will be shipped FOB origin in the US (Incoterms 2010 EXW outside of the US) and are deemed accepted by Customer upon receipt. Upon acceptance of such Products, orders are non-refundable, non-returnable, and non-exchangeable, except in the case of defective or missing materials reported to Amplify by Customer within 60 days of receipt. In such case, Customer may not return Products without Amplify’s written authorization.

8. Account Information

For subscription Products, the authentication of Authorized School Users is based in part upon information supplied by Customer or Authorized School Users, as applicable. Customer will and will cause its Authorized School Users to (a) provide accurate information to Amplify or a third-party service as applicable, and promptly report any changes to such information, (b) not share login credentials or otherwise allow others to use their account, (c) maintain the confidentiality and security of their account information, and (d) use the Products solely via such authorized accounts. Customer agrees to notify Amplify immediately of any unauthorized use of its or its Authorized School Users’ accounts or related authentication information. Amplify will not be responsible for any losses arising out of the unauthorized use of accounts created by or for Customer and its Authorized School Users. 

9. Confidentiality

Customer acknowledges that, in connection with this Agreement, Amplify has provided or will provide to Customer and its Authorized School Users certain sensitive or proprietary information, including software, source code, assessment instruments, research, designs, methods, processes, customer lists, training materials, product documentation, know-how, or trade secrets, in whatever form (“Confidential Information”). Customer agrees (a) not to use Confidential Information for any purpose other than use of the Products in accordance with this Agreement and (b) to take all steps reasonably necessary to maintain and protect the Confidential Information of Amplify in strict confidence. Confidential Information shall not include information that, as evidenced by Customer’s contemporaneous written records: (i) is or becomes publicly available through no fault of Customer; (ii) is rightfully known to Customer prior to the time of its disclosure; (iii) has been independently developed by Customer without any use of the Confidential Information; or (iv) is subsequently learned from a third party not under any confidentiality obligation. 

10. Student Data

The parties acknowledge and agree that in the course of providing the Products to the Customer, Amplify may collect, receive, or generate information that directly relates to an identifiable student of Customer (“Student Data”). Student Data may include personal information from a student’s “educational records,” as defined by the Family Educational Rights and Privacy Act of 1974 (“FERPA”). Student Data is owned and controlled by the Customer and Amplify receives Student Data as a “school official” under Section 99.31 of FERPA for the purpose of providing the Products hereunder. Individually and collectively, Amplify and Customer agree to uphold our obligations, as applicable, under FERPA, the Children’s Online Privacy Protection Act (“COPPA”), the Protection of Pupil Rights Amendment (“PPRA”), and applicable state laws relating to student data privacy. Amplify’s Customer Privacy Policy at amplify.com/customer-privacy (“Privacy Policy”) will govern collection, use, and disclosure of Student Data collected or stored on behalf of Customer under this Agreement. In addition, Amplify has entered into the data privacy agreements listed at amplify.com/privacy-security aligned with state and national templates to facilitate compliance with applicable state laws and help expedite Customer’s student data privacy documentation process. Customer is responsible for providing notice and obtaining appropriate consents under applicable laws to authorize Authorized School Users’ use of the Products, including making a copy of the Privacy Policy available to the parents or guardians of users who are under the age of 13.  

11. Customer Materials and Requirements

Customer represents, warrants, and covenants that it has all the necessary rights, including consents and IP Rights, in connection with any data, information, content, and other materials provided to or collected by Amplify on behalf of Customer or its Authorized School Users using the Products or otherwise in connection with this Agreement (“Customer Materials”), and that Amplify has the right to use such Customer Materials as contemplated hereunder or for any other purposes required by Customer. Customer is solely responsible for the accuracy, integrity, completeness, quality, legality, and safety of such Customer Materials. Customer is responsible for meeting hardware, software, telecommunications, and other requirements listed at amplify.com/customer-requirements

12. Warranty Disclaimer

PRODUCTS ARE PROVIDED “AS IS” AND WITHOUT WARRANTY OF ANY KIND BY AMPLIFY. AMPLIFY EXPRESSLY DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING ANY WARRANTY AS TO TITLE, NON-INFRINGEMENT, MERCHANTABILITY, OR FITNESS FOR A PARTICULAR PURPOSE OR USE. CUSTOMER ASSUMES RESPONSIBILITY FOR SELECTING THE PRODUCTS TO ACHIEVE CUSTOMER’S INTENDED RESULTS AND FOR THE ACCESS AND USE OF THE PRODUCTS, INCLUDING THE RESULTS OBTAINED FROM THE PRODUCTS. WITHOUT LIMITING THE FOREGOING, AMPLIFY MAKES NO WARRANTY THAT THE PRODUCTS WILL BE ERROR-FREE OR FREE FROM INTERRUPTIONS OR OTHER FAILURES OR WILL MEET CUSTOMER’S REQUIREMENTS. AMPLIFY IS NEITHER RESPONSIBLE NOR LIABLE FOR ANY THIRD-PARTY CONTENT OR SOFTWARE INCLUDED IN PRODUCTS, INCLUDING THE ACCURACY, INTEGRITY, COMPLETENESS, QUALITY, LEGALITY, USEFULNESS, OR SAFETY OF, OR IP RIGHTS RELATING TO, SUCH THIRD-PARTY CONTENT AND SOFTWARE. ANY ACCESS TO OR USE OF SUCH THIRD-PARTY CONTENT AND SOFTWARE MAY BE SUBJECT TO THE TERMS AND CONDITIONS AND INFORMATION COLLECTION, USAGE, AND DISCLOSURE PRACTICES OF THIRD PARTIES.

13. Limitation of Liability

 TO THE EXTENT SUCH LIMITATION IS NOT PROHIBITED BY APPLICABLE LAW, IN NO EVENT WILL AMPLIFY BE LIABLE TO CUSTOMER OR TO ANY AUTHORIZED SCHOOL USER FOR ANY INCIDENTAL, SPECIAL, CONSEQUENTIAL, PUNITIVE, RELIANCE, OR COVER DAMAGES, DAMAGES FOR LOST PROFITS, LOST DATA OR LOST BUSINESS, OR ANY OTHER INDIRECT DAMAGES, EVEN IF AMPLIFY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. TO THE EXTENT SUCH LIMITATION IS NOT PROHIBITED BY APPLICABLE LAW, AMPLIFY’S ENTIRE LIABILITY TO CUSTOMER OR ANY AUTHORIZED USER ARISING OUT OF PERFORMANCE OR NONPERFORMANCE BY AMPLIFY OR IN ANY WAY RELATED TO THE SUBJECT MATTER OF THIS AGREEMENT, REGARDLESS OF WHETHER THE CLAIM FOR SUCH DAMAGES IS BASED IN CONTRACT, TORT, STRICT LIABILITY, OR OTHERWISE, MAY NOT EXCEED THE AGGREGATE OF CUSTOMER’S OR ANY AUTHORIZED USER’S DIRECT DAMAGES UP TO THE FEES PAID BY CUSTOMER TO AMPLIFY FOR THE AFFECTED PORTION OF THE PRODUCTS IN THE PRIOR 12-MONTH PERIOD. UNDER NO CIRCUMSTANCES WILL AMPLIFY BE LIABLE FOR ANY CONSEQUENCES OF ANY UNAUTHORIZED USE OF THE PRODUCTS BY AN AUTHORIZED SCHOOL USER THAT VIOLATES THIS AGREEMENT OR ANY APPLICABLE LAW OR REGULATION.

14. Termination

Without prejudice to any rights either party may have under this Agreement, in law, equity, or otherwise, a party will have the right to terminate this Agreement if the other party (or in the case of Amplify, an Authorized School User) materially breaches any term, provision, warranty, or representation under this Agreement and fails to correct the breach within 30 days of its receipt of written notice thereof. Upon termination, Customer will: (a) cease using the Products, (b) return, purge, or destroy (as directed by Amplify) all copies of any Products and, if so requested, certify to Amplify in writing that such surrender or destruction has occurred, (c) pay any fees due and owing hereunder, and (d) not be entitled to a refund of any fees previously paid, unless otherwise specified in the Quote. Customer will be responsible for the cost of any continued use of the Products following termination. Upon termination, Amplify will return or destroy any Student Data provided to Amplify hereunder. Notwithstanding the foregoing, nothing will require Amplify to return or destroy any data that does not include Student Data, including de-identified information or data that is derived from access to Student Data but which does not contain Student Data. Sections 3–14 will survive the termination of this Agreement.

15. Miscellaneous

This Agreement may not be modified except in writing signed by both parties. All defined terms in this Agreement will apply to their singular and plural forms, as applicable. The word “including” means “including without limitation.” For United States-based Customers, this Agreement will be governed by  and construed and enforced in accordance with the laws of the U.S., state, commonwealth, or territory in which Customer resides based on the address set forth in the Quote, without regard to that state’s, commonwealth’s, or territory’s choice of law rules. For Customers based outside of the United States, this Agreement will be governed by the laws of the U.S., state of New York, without giving effect to the choice of law rules thereof. This Agreement will be binding upon and inure to the benefit of the parties and their respective successors and assigns. The parties expressly understand and agree that their relationship is that of independent contractors. Nothing in this Agreement will constitute one party as an employee, agent, joint venture partner, or servant of another. Each party is solely responsible for all of its employees and agents and its labor costs and expenses arising in connection herewith. Neither this Agreement nor any of the rights, interests or obligations hereunder may be assigned or delegated by Customer or any Authorized School User without the prior written consent of Amplify. If one or more of the provisions contained in this Agreement will for any reason be held to be unenforceable at law, such provisions will be construed by the appropriate judicial body to limit or reduce such provision or provisions so as to be enforceable to the maximum extent compatible with applicable law. Amplify will have no liability to Customer or to third parties for any failure or delay in performing any obligation under this Agreement due to circumstances beyond its reasonable control, including acts of God or nature, fire, earthquake, flood, epidemic, pandemic, strikes, labor stoppages or slowdowns, civil disturbances or terrorism, national or regional emergencies, supply shortages or delays, action by any governmental authority, or interruptions in power, communications, satellites, the Internet, or any other network. Each party represents and warrants that it has all necessary right, power, and authority to enter into this Agreement and to comply with the obligations hereunder.

Last Modified: February 2, 2026

Website Privacy Policy

Last Modified:  February 2026

Update: February 2, 2026: This Privacy Policy has been updated to address additional rights for individuals in the European Union/UK.

Below is the Website Privacy Policy for the amplify.com site (“Privacy Policy”). For purposes of clarity and as further outlined below, this Privacy Policy does not apply to student data. You can visit this page to read about the principles and policy governing student data collected and maintained on behalf of our school customers.

We advise you to read this Privacy Policy in its entirety, including the jurisdiction-specific provisions in the appendix. Our Notice at Collection for California Residents is available in the Notice for our California Customers.

Who We Are / What This Privacy Policy Covers

Amplify Education, Inc. (“Amplify”) recognizes the importance of protecting the privacy and security of your personal information. This Privacy Policy describes our practices in connection with information that we may collect through your use of this website (the “Site”).

This Privacy Policy does not apply to Amplify’s handling of:

  • student data or other information collected from users of Amplify’s products that support classroom instruction and learning, which are governed by our Customer Privacy Policy.
  • staff or applicant data that we process in accordance with our staff or applicant privacy notice, respectively.

If you have any question as to what legal agreement or privacy policy controls the collection and use of your information, please contact us using information below in the Contact Us section.

This Privacy Policy is incorporated into and is subject to our Website Terms of Use, which governs your use of the Site.

Our Role: We are the controller of all personal information (as defined below) that we receive through our Site and can be reached by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

1. What personal information do we collect?

When you visit and / or interact with our Site, we may collect the following information about you that, alone or in combination, could be used to identify you or your device (“personal information”):

  • Contact Information, such as name, district / school name, professional affiliation, title / role, email address, shipping address, address and phone number.
  • Account Information, such as customer user login and password. 
  • Demographic Information, such as age and gender.
  • Information You Submit, such as information voluntarily provided on message boards, feedback sections, and other public areas of the Site.
  • Site Activity Information, which is collected when you access and interact with the Site, we and our Service Providers (as defined below) may collect certain information about those visits. For example, we or our Service Providers may receive and record information about your computer and browser, including your IP address, browser type, and other software or hardware information. If you access the Site from a mobile or other device, we may collect a unique device identifier assigned to that device, or other characteristics of the device hardware, operating system and configurations for that device. On certain pages of the Site, we may use third party tools to help us look at mouse movements, clicks, keystrokes, data or text entered, and the pages you visit.
  • Location Information, such as state, country and / or zip code, which we use to help us customize your experience, as well as to help us facilitate your privacy rights.
  • Audio, electronic, visual, or similar information: such as customer service interactions, call recordings, chat transcripts, files you attach, and email, text, or other correspondence.

If you make a purchase through our online store, you may provide payment and other information directly to our third party e-commerce platform to complete your purchase.

We ask that you not send us, and you not disclose, any government identifiers (such as social security numbers) or information related to racial or ethnic origin, health, or criminal background on or through the Site or otherwise.

2. Where/How do we collect personal information?

Amplify may collect personal information directly from you at various points, including the following:

  • Product Information and Newsletters. When you submit a request to obtain information about our products, services or other informational material or subscribe to one of our newsletters, you may be asked to submit information such as name, professional affiliation, email address, company name, address and phone and details on your query or interests in our products and services. This information is collected to help us process your request.
  • Customer Support. When you submit a form to contact our customer service, you may be asked to submit information such as name, e-mail, district, customer user login and password and details on your query. In addition, some features of our Site, such as our customer live chat functionality or other customer service systems may allow you to voluntarily provide personal information to us. This information is collected to help us process your request. Please only provide what is needed to facilitate the support request.
  • Product Orders. If you use e-commerce areas of our Site to order our products, we request information from you on our order form. To purchase products through the Site, you must provide contact information (such as name and shipping address) and financial information (such as credit card number). This information is used for billing purposes and to fill your orders. We will also use this information to contact you to confirm your order or to inform you of any issues or delays.
  • Registration. You may be asked to submit information to use certain parts of the Site (such as posting comments on certain areas of the Site), register for an event or webinar, or view restricted content that may be available on the Site. For instance, you may be asked to provide your name, email address and event or webinar-related preferences to help us process your registration or content request.
  • Public Areas and Discussion Forums. Any information you share in public areas, such as message boards or feedback sections, becomes public. Please be careful about what you disclose and do not post any personal information that you expect to keep private.
  • Contests and Sweepstakes. When we run a contest or sweepstakes relating to the Site or Amplify, it will be accompanied by a set of rules. The rules for each contest/sweepstakes will specify how the information gathered from you for your entry will be used and disclosed.

As you visit or use our Site, we may collect Site activity information through cookies and similar technologies.

  • Cookies, Pixels, and Other Tracking Technologies. Cookies and other tracking technologies (such as pixels, beacons, and Adobe Flash technology) are small data files that are placed on your computer or mobile device when you visit a website. They allow the website or mobile app to remember your actions and preferences over a period of time. We use the following types of cookies:
    • Strictly necessary cookies – These are cookies that are required for the operation of our Site. They include, for example, cookies that enable you to log into secure areas of our Site. These cookies are not generally stored beyond the browser session and are less likely to include personal information. This category of cookies cannot be disabled.
    • Functionality Cookies – We use these cookies so that we recognize you on our Site and remember your previously selected preferences. These cookies are stored on your device between browsing sessions but expire after a pre-defined period. These cookies enable our Site to “recognize” you when you use our Site, including your preferences such as your preferred language , time, and location. A mix of first party (placed by us) and third-party cookies (placed by third parties) are used.
    • Analytics Cookies – These cookies help us and our Service Providers compile statistics and analytics about users of the Site, including Site Activity Information. For example, we use Google Analytics to help us understand how users interact with the Platform. Google Analytics uses cookies to track your interactions with the Site, then collects that information and reports it to us. This information helps us improve the Site so that we can better serve you. To learn more about Google Analytics, visit https://support.google.com/analytics/answer/6004245?hl=en. If you wish, you can opt-out of Google Analytics by installing the Google Analytics Opt-out Browser Add-on, available on https://tools.google.com/dlpage/gaoptout.
    • Advertising Cookies – We use these cookies to collect information about your visit to our Site, the content you viewed, the links you followed and information about your browser, device, and your IP address. We sometimes share some limited aspects of this data with third parties for advertising purposes. We may also share Site Activity Information collected through cookies with our advertising partners. This means that when you visit another website, you may be shown advertising based on your browsing patterns on our Site.

For information on how to opt-out of these technologies, please see What Choices Do You Have? below.

  • Social Plugins. Certain areas of our Site permit you to utilize social media functionality, such as the Facebook “Like” or Google “+1” buttons (“Social Plugins”). To use a Social Plugin, you must authorize the third-party provider of that Social Plugin, e.g. Facebook or Google, to access, collect, and/or disclose your information related to your use of that Social Plugin, subject to that company’s privacy policies, which may differ from this Privacy Policy. In addition, such providers may be able to collect information about you, including your activity on the Site, and they may notify your connections on their social networking platform about your use of the Site. Such services may also employ unique identifiers that allow your activity to be monitored across multiple websites for purposes of delivering more targeted advertising to you.

Amplify also receives information from other sources.

  • Information from Other Sources. We may supplement any information we collect via this Site with information from publicly or commercially available sources.

3. How do we use personal information?

We may use any personal information and other information we collect from and about you for the following purposes and as described elsewhere in this Privacy Policy:

  • To provide and manage the Site. We use the personal information we collect from and about you to provide the Site and features to you, including to measure and improve its services and features, to personalize your experience by delivering relevant content, to deliver marketing messages, to allow you to comment on content, to provide you with customer support, and to respond to inquiries. We may also use and disclose aggregate or anonymous data about your use of and activity on the Site to assist us in this regard and for any other purpose.
  • To contact you. Amplify may periodically send promotional materials (e.g., newsletters) or notifications related to the Site and to Amplify’s business to the contact information you provided to us at registration.
  • To improve our products and services. We may use your personal information for our business purposes, such as data analysis, audits, developing new products and services, enhancing the Site, improving our services, identifying usage trends, and determining the effectiveness of our promotional campaigns.
  • For marketing and advertising. We may use your personal information to help us market our products to you or your school district.

4. To whom do we disclose personal information?

We may disclose any personal information and other information we collect from and about you for the following purposes and as described elsewhere in this Privacy Policy:

  • To share with our affiliated education companies. Amplify may share your personal information with Amplify’s affiliated education companies for the purposes described in this Privacy Policy.
  • To allow service providers to assist us. We may engage third party service providers, agents and partners (“Service Providers”) to perform functions on our behalf, such as analytics, credit card processing, shipping or stocking orders and providing customer service. We may disclose your personal information to such Service Providers to enable them to assist us in these efforts.
  • To allow our marketing and advertising partners to assist us. We may engage marketing and advertising partners to help us market and advertise our products and services, including via digital ads sent in connection with your visit to the Site. We may disclose Site Activity information, as well as contact information and other aggregate insights to such partners to enable them to assist us in these efforts.
  • To protect the rights of Amplify and our users. There may be instances when Amplify may disclose your personal information, in situations where Amplify has a good faith belief that such disclosure is necessary or appropriate in order to: (i) protect, enforce, or defend the legal rights, privacy, safety, operations, or property of Amplify, our parents, subsidiaries or affiliates or our or their employees, agents and contractors (including enforcement of our agreements, including our terms of use); (ii) protect the rights, safety, privacy, security or property of users of the Site or others; (iii) protect against fraud or for risk management purposes; (iv) comply with the law or legal process, including laws outside your country of residence; (v) respond to requests from public and government authorities, including those outside your country of residence; or (vi) allow us to pursue available remedies or limit the damages that we may sustain.
  • To complete a merger or sale of assets. If Amplify sells all or part of its business or makes a sale or transfer of its assets or is otherwise involved in a merger, transfer or other disposition of all or part of its business, assets or stock (including in connection with any bankruptcy or similar proceedings), Amplify may transfer your personal information to the party or parties involved in the transaction.

5. What rights and choices do you have?

Opt-out of Marketing Communications. If you want to stop receiving promotional materials from Amplify, you can follow the unsubscribe instructions at the bottom of each email. There are certain service notification emails that you may not opt-out of, such as notifications of changes to the Site or policies. If you have additional questions, please contact us using information below in the Contact Us section.

Opt-of Cookies and Similar Tracking Technologies. There are a few ways to opt out or delete cookies.

  • On Your Browser. Most browsers are initially set to accept cookies, but your browser may permit you to change your settings to notify you of a cookie being set or updated, or to block cookies altogether. Please consult the “Help” section of your browser for more information. Please note that by blocking any or all cookies you may not have access to certain features, content or personalization that may be available through the Site. Please also note that you must opt out separately on each device (including each web browser on each device) that you use to access our Site if you wish to opt out, and if you clear your cookies or if you use a different browser or device, you will need to renew your opt-out preferences.
  • Interest-Based Advertising. Some advertisers and marketing companies participate in the self-regulatory programs of the Digital Advertising Alliance (“DAA”) and European Interactive Digital Advertising Alliance (“eDAA”) in connection with online interest-based advertising. DAA and eDAA provide consumers with the ability to opt out of receiving interest-based advertising from their program participants at the following links:

What Rights Do You Have?

6. Security

Amplify uses commercially reasonable administrative, technical, personnel and physical measures to safeguard personal information in its possession against loss, theft and unauthorized use, disclosure or modification.

7. Data retention / Deletion

We will retain your personal information for the period necessary to fulfill the purposes outlined in this Privacy Policy unless a longer retention period is required or allowed by law. Even after we have deleted your personal information from our systems, copies of some information from your account may remain viewable in some circumstances – where, for example, you have shared information with social media platforms and other unaffiliated services. We may also retain backup information related to your account on our servers for some time after cancellation for fraud detection or to comply with applicable law or our internal security policies. Because of the nature of caching technology, your account may not be instantly inaccessible to others, and there may be a delay in the removal of the content from elsewhere on the Internet and from search engines.

8. Data Storage and Transfers

We are a United States Company, and our servers are hosted, managed, and controlled by us in the United States. If you are outside of the United States, we use industry standards to protect your data when it leaves your country of residence and your data will always be protected in accordance with this Privacy Policy, Applicable Laws and our Agreement regardless of the storage location.

Additionally, where we transfer your personal information to service providers outside of the United Kingdom (UK), European Economic Area (EEA), or other region that offers similar protections, we use specific appropriate safeguards to contractually obligate such service providers to protect personal information in accordance with Amplify’s commitment to privacy and security and applicable data protection laws.

If you have questions or wish to obtain more information about the international transfer of your personal information or the implemented safeguards, please contact us using the contact information below.

9. External third-party services

The Site may be linked to sites operated by unaffiliated companies, and may carry advertisements or offer content, functionality, games, newsletters, contests or sweepstakes, or applications developed and maintained by unaffiliated companies. Amplify is not responsible for the privacy practices of unaffiliated companies, and once you leave the Site via a link or enable an unaffiliated service, you are subject to the applicable privacy policy of the unaffiliated service.

10. Updates to this policy

Amplify may modify this Privacy Policy. Please look at the Last Revised Date at the top of this Privacy Policy to see when this Privacy Policy was last revised. Any changes to this Privacy Policy will become effective when we post the revised Privacy Policy on the Site. If you do not wish to be bound by the terms of the revised Privacy Policy, you must discontinue your use of the Site.

11. Contact us

If you have questions about this Privacy Policy, please contact us at:

Email: privacy@amplify.com
Mail: Amplify Education, Inc.
55 Washington St.#800
Brooklyn, NY, 11201
Phone: (800) 823-1969
Attn: General Counsel

Appendix – Supplemental Disclosures

1. Notice for our California Customers

We retain your personal information for as long as you are an active user of our Site or continue to have an account with us, and in accordance with our legal obligations (which may require us to hold information to provide financial and other reporting and to defend against potential claims). If you are a California resident, please see below for information about your rights pursuant to California law.

Personal Information We Collect
How We Use Personal Information
Contact Information
  • To provide you with customer support and respond to inquiries.
  • To contact you with promotional emails (e.g. newsletters) or notifications related to the Site
  • To help us verify the identity of our user
  • As otherwise required or permitted by law, or as we may notify you at the time of collection
Account Information
  • To provide and manage the Site
  • To improve our products and services
  • As otherwise required or permitted by law, or as we may notify you at the time of collection
Payment Information
  • To complete your payment of purchases made through the Site
  • For internal operations (e.g. to improve and update our products)
  • For security and fraud prevention
  • As otherwise required or permitted by law, or as we may notify you at the time of collection
Information You Submit
  • To provide the Site and features to you, including to allow you to comment
  • To improve our products and services
  • As otherwise required or permitted by law, or as we may notify you at the time of collection.
Site Activity Information
  • We sell or share information about your Site activity with third parties for targeted advertisements on and off of Amplify. We also use this information to:
    • To provide and manage the Site
    • To improve our products and services
    • For internal operations (e.g. to improve and update our products)
    • For security, safety, and due diligence purposes
    • As otherwise required or permitted by law, or as we may notify you at the time of collection
Location Information
  • We use location information , such as state, country and / or zip code, which we use to help us customize your experience, as well as to help us facilitate your privacy rights.
Inferences
  • We may make inferences about your interests and personal preferences (such as the content you like to consume). We also use this information to:
    • To personalize your experience on the Site
    • For internal operations (e.g. to improve and update our products)
    • As otherwise required or permitted by law, or as we may notify you at the time of collection

Some of the information described above may be considered “sensitive” under the laws of certain jurisdictions (including payment information and account login credentials (“Sensitive Information”). Whether information is Sensitive Information will depend on the laws of your jurisdiction. We only use Sensitive Information, such as payment information and account credentials for necessary or reasonably expected purposes – specifically, to provide you with our Services (i.e., fulfill purchases and to allow account logins).

Shine the Light

California’s Shine the Light law (Civil Code § 1798.83) permits California residents to request certain information regarding our disclosure of certain categories of personal information to third parties for their own direct marketing purposes in the preceding calendar year. We do not share personal information, as defined by California’s Shine the Light law, with third parties for their own direct marketing purposes.

Notice of Financial Incentive 

 As part of our services, there may be opportunities for you to complete surveys and questionnaires. As an incentive for completing the survey or questionnaire, you can voluntarily provide your personal information, which in turn enters you into a raffle drawing or enables us to provide you with other benefits, discounts, offers, or deals that may constitute a financial incentive under California law (“Financial Incentive”). The categories of personal information required for us to provide the Financial Incentives include: contact information and any other information that you choose to provide when you complete the survey.

Participation is voluntary and you can opt out at any time before your survey is complete.

The value of the personal information we collect in connection with our Financial Incentives is equivalent to the value of the benefit offered.

2. Additional U.S. State Privacy Law Rights

Residents of certain U.S. states have the following rights, regarding your personal information (each of which are subject to various exceptions and limitations):

  • Access. You have the right to request, up to two times every 12 months, that we disclose to you the categories of personal information collected about you, the categories of sources from which the personal information is collected, the categories of personal information sold or shared, the business or commercial purpose for collecting, selling, or sharing the personal information, the categories of third parties with whom personal information was shared, and the specific pieces of personal information collected about you.
  • Correct. You have the right to request that we correct inaccurate personal information collected from you. 
  • Deletion. You can request that we delete your personal information that we maintain about you.
  • Opt-out (Do Not Sell or Share My Personal Information). Under several U.S. state privacy laws, consumers have the right to opt-out of the “sale” of their personal information (defined very broadly to include situations where we provide personal information to partners who provide advertising services to us) and the “sharing” of personal information in connection with the display of targeted advertising across third party websites. While we do not sell your personal information, we do share it in connection with our advertising efforts. Please also note that we do not knowingly sell or share the Personal Information of minors under 16 years of age.

We also honor the Global Privacy Control, a browser-based opt-out signal. We do not respond to other browser-based signals that do not meet applicable state law requirements, which may include older Do Not Track signals.

  • No Discrimination. You have the right not to be discriminated against for exercising these rights.
  • Appeals. You have a right to appeal decisions concerning your ability to exercise your consumer rights. 
  • Submission of Requests. You may exercise the above rights by emailing us at privacy@amplify.com. Note that we may deny certain requests, or fulfill a request only in part, based on our legal rights and obligations. For example, we may retain personal information as permitted by law, such as for tax or other record keeping purposes, to maintain an active account, and to process transactions and facilitate customer requests.
  • Authorized Agent. You may designate an authorized agent to make a request on your behalf. When submitting the request, please ensure the authorized agent identifies himself/herself/itself as an authorized agent and can show written permission from you to represent you. We may contact you directly to confirm that you have authorized the agent to act on your behalf or confirm your identity.
  • Verification. Whether you submit a request directly on your own behalf, or through an authorized agent, we will take reasonable steps to verify your identity prior to responding to your requests. The verification steps will vary depending on the sensitivity of the personal information and whether you have an account with us.
3. Notice for European Economic Area and United Kingdom Customers

As detailed at the beginning of our Privacy Policy (under the section titled “Our Role”), Amplify acts as a controller with respect to personal information collected as you interact with our Site.

Lawful Basis for Processing

We rely on the following lawful bases for our processing activities:

  • Consent;
    • We obtain your consent to collect and process device and usage data via cookies on our Site to understand how individuals use our Site and to help us measure the effectiveness of our advertising and marketing campaigns.
  • Pursuant to a contract with the user of our Site;
    • We process all categories of personal information that we collect to provide and manage our Site, including payment processing, where this is required in order for us to perform our obligations under our contract with you.
  • To comply with our legal obligations;
    • We process all categories of personal information that we collect to ensure the safety and security of our Site where we are complying with security requirements under data protection and cyber and information security law.
    • We process all categories of personal information that we collect to comply with our legal obligations which includes, for example, to access, retain or share certain personal information where we receive a valid request from a government body, law enforcement body, judicial body regulator or similar, to deal with legal claims and prospective legal claims, and to ensure we are complying with applicable laws.
  • When we have a legitimate interest in doing so, which is not outweighed by the risks to the individual. We rely on our legitimate interest to process all categories of personal information:
    • to provide, manage, and improve the Site where such activities are not strictly required under our contract, including personalizing your experience on the Site.
    • to ensure the safety and security of our Site where this is important but not required under the data protection law or cyber and information security laws.
    • to respond to queries or otherwise communicate with you in relation to our Site and the operation of our business where this is not strictly required under a contract with you.
    • internal research and certain marketing purposes (e.g. to periodically send newsletters and other promotional materials), which will not be based on Student Data or directed to K–12 students.

Your Data Subject Rights

If you are located in the EEA/UK, you have the following rights, subject to certain exceptions:

  • Right of access: You have the right to ask us for confirmation on whether we are processing your personal information and access to that personal information.
  • Right to correction: You have the right to have your personal information corrected.
  • Right to erasure: You have the right to ask us to delete your personal information.
  • Right to withdraw consent: You have the right to withdraw consent that you have provided.
  • Right to lodge a complaint with a supervisory authority: You have the right to lodge a complaint with a supervisory authority.
  • Right to restriction of processing: You have the right to request the limiting of our processing under limited circumstances.
  • Right to data portability: You have the right to receive the personal information that you have provided to us, in a structured, commonly used, and machine-readable format, and you have the right to transmit that information to another controller, including to have it transmitted directly, where technically feasible.
  • Right to object: You have the right to object to our processing of your personal information

To exercise any of these rights, contact us as set forth in the section entitled “Contact Us” above and specify which European privacy right you intend to exercise. We may require additional information from you to allow us to confirm your identity. Please note that we store information as necessary to fulfill the purposes for which it was collected, and may continue to retain and use the information even after a data subject request for purposes of our legitimate interests, including to comply with our legal obligations, resolve disputes, prevent fraud, and enforce our agreements.

Complaints

If you have any issues with our compliance, you have the right to lodge a complaint with an EEA or UK supervisory authority. We would, however, appreciate the opportunity to address your concerns before you approach a data protection regulator, and would welcome you directing an inquiry first to us. To do so, please contact us by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

Acceptable Use Policy

Amplify Education, Inc. (“Amplify”) products support classroom instruction and learning and include Amplify CKLA, Amplify ELA, Amplify Science, Amplify Desmos Math, Desmos Math, Boost Reading, Boost Math, mCLASS, Mathigon, services at classroom.amplify.com (for creating and assigning activities) and student.amplify.com (for use of the activities or curricula as directed by an instructor), and any other product or service that links to this Acceptable Use Policy (together, the “Products”). This Acceptable Use Policy (the “AUP”) provides the general terms and conditions applicable to your use of the Products. By accessing, downloading, or using the Products, you agree to be bound by the terms of this AUP. 

Notwithstanding the foregoing, nothing in this AUP supersedes or limits your rights under the terms of any other agreement you or your institution have entered into with Amplify regarding the use of Products. In the event of any conflict between the AUP and the terms and conditions of an applicable agreement that you or your institution have entered into with Amplify, the terms and conditions of such agreement shall control.

Our Products are geared towards K–12 students, educators, and staff who use the Products as authorized by their School District or State Agency (each as defined in the Privacy Policy (defined below), and together, “School”) (“Authorized School Users”). Student Data (defined below) is owned and controlled by the School, and Amplify receives Student Data as a “school official” under Section 99.31 of the Family Educational Rights and Privacy Act of 1974 (“FERPA”) for the purpose of providing the Products hereunder. In addition, we rely on the School acknowledging that it is acting as the parent’s agent and consenting on the parent’s behalf to process personal information of students under the age of 13 (“Child Users”) in accordance with the Children’s Online Privacy Protection Act (“COPPA”). 

Schools may provide authorization in two ways: 

(1) by the School agreeing to our Customer Terms and Conditions located at amplify.com/customer-terms or another agreement between Amplify and the School, as applicable; or 

(2) by an educator, staff member, or agent of a School (“Educator”) agreeing to this AUP. If you are an Educator and wish to use the Products in your classroom, you represent and warrant that the use of the Products in your classroom has been authorized by your School, and that you are authorized to accept this AUP on behalf of the School.

In each case, we provide these Products solely for the benefit of the School and for no other commercial purpose. We require all Schools to review our Privacy Policy, available at amplify.com/customer-privacy (“Privacy Policy”), and to make a copy of the Privacy Policy available to the parents or guardians of Child Users.

We also provide limited opportunities for individual users to sign up for a restricted account for at-home use of our Products (together, with Authorized School Users, “Authorized Users”). Please see Additional terms for Mathigon and Amplify Classroom accounts (Section 18) for additional information.

1. License

Subject to compliance with this AUP, you are granted a non-transferable, non-exclusive, non-sublicensable license to access and use the Products. You understand that your use of the Products does not confer to you any intellectual property rights held by Amplify or its licensors. Unless otherwise indicated, any future release, update, or other addition to functionality or content of the Products will be subject to this AUP. 

2. Restrictions

You may access and use the Products solely for non-commercial instructional and administrative purposes. Guidelines for such purposes may be set forth at http://amplify.com/amplify-program-usage-guidelines and additional guidelines may be detailed in materials associated with the Product You are accessing. Further, You may not, except as expressly authorized by Amplify: (a) copy, modify, translate, distribute, disclose, or create derivative works based on the contents of, sell, or otherwise exploit, the Products, or any part thereof; (b) decompile, disassemble, reverse engineer the Products, or otherwise use the Products to develop functionally similar products or services; (c) modify, alter, or delete any of the copyright, trademark, or other proprietary notices in or on the Products; (d) rent, lease, or lend the Products or use the Products for the benefit of any third party; (e) avoid, circumvent, or disable any security or digital rights management device, procedure, protocol, or mechanism in the Products; (f) use any content from the Products, including but not limited to text, images, videos, assessments, lesson plans, or code, as input or training material for any machine learning or artificial intelligence system, including large language models, neural networks, or other algorithmic models, for any purposes, commercial or non-commercial; or (g) permit any Authorized User or third party to do any of the foregoing. You also agree that any works created in violation of this section are derivative works, and, as such, You agree to assign, and hereby assign, all right, title, and interest in such works to Amplify. The Products and derivatives thereof may be subject to export control laws, restrictions, regulations, and orders of the U.S. and other jurisdictions (together, “Export Laws”). You agree to comply with all applicable Export Laws, and will not, and will not permit Authorized Users to, export, or transfer for the purpose of re-export, any Product to any prohibited or embargoed country in violation of any U.S. export law or regulation. Further, You represent that You are not located in a country that is subject to a U.S. Government embargo, subject to sanctions by the U.S. Office of Foreign Assets Control, or included on any restricted party list maintained by the U.S. Bureau of Industry and Security. The software and associated documentation portions of the Products are “commercial items” (as defined at 48 CFR 2.101), comprising “commercial computer software” and “commercial computer software documentation,” as those terms are used in 48 CFR 12.212. Accordingly, if You are associated with the U.S. Government or its contractor, You will receive only those rights set forth in this Agreement in accordance with 48 CFR 227.7201-227.7204 (for Department of Defense and their contractors) or 48 CFR 12.212 (for other U.S. Government licensees and their contractors).

3. Use of the products

In connection with your access to and use of the Products, you agree not to: (a) post, upload, or otherwise transmit or link to content that is: unlawful; threatening; harmful; abusive; pornographic or includes nudity; offensive; harassing; excessively violent; tortious; defamatory; false or misleading; obscene; vulgar; libelous; hateful; or discriminatory; (b) violate the rights of others, including patent, trademark, trade secret, copyright, privacy, publicity, contract, or other proprietary rights; (c) harass or harm another person; (d) exploit or endanger a minor; (e) impersonate any person or entity; (f) introduce or engage in activity that involves the use of viruses, bots, worms, Trojan horses, time bombs, spyware, or any other computer code, files, or programs that interrupt, destroy, or limit the functionality of any computer software or hardware or telecommunications equipment, or otherwise permit the unauthorized access to or use of a computer or a computer network; (g) interfere with, damage, disable, disrupt, impair, create an undue burden on, or gain unauthorized access to the Products or any account (as defined below), or Amplify’s servers or networks; (h) restrict or inhibit any other person from using the Products (including by hacking or defacing the Products); (i) remove, disable, block, or obscure any portion of the Products; (j) use technology or any automated system, such as scripts or bots, to collect user names, passwords, email addresses, or any other data from or through the Products, or to circumvent or modify any security technology or software that is part of the Products; (k) send or cause to send (directly or indirectly) unsolicited bulk messages or other unsolicited bulk communications of any kind through the Products; (l) solicit, collect, or request any information for commercial or unlawful purposes; (m) post, upload, or otherwise transmit an image, audio recording, or video of another person without that person’s consent; (n) use the Products to advertise, promote, or engage in any commercial activity (including engaging in advertising, sales, contests, sweepstakes, or other promotions) without Amplify’s prior written consent; (o) frame or mirror the Products without Amplify’s express prior written consent; (p) use the Products in a manner inconsistent with any applicable law, rule, or regulation; (q) use any robot, spider, search/retrieval application, or other manual or automatic device to retrieve, index, “scrape,” “data mine,” or in any way gather content of the Products or reproduce or circumvent the navigational structure or presentation of the Products; (r) attempt, facilitate, or encourage others to do any of the foregoing. In addition to the foregoing restrictions, your use of the Products may also be subject to an additional acceptable use policy provided to you by your School, as applicable. You are responsible for meeting the hardware, software, telecommunications, and other requirements listed at amplify.com/customer-requirements.

4. Intellectual property

The Products and any Product logo, and certain other of the names, logos, and materials displayed in the Products, may constitute trademarks, trade names, or service marks (“Marks”) of Amplify or other entities. You are not authorized to use any such Marks. Ownership of all such Marks and the goodwill associated therewith remains with Amplify or those other entities. The content provided to you in the Products, including the software, graphs, text, and graphics, is protected under copyright laws, is subject to other intellectual property and proprietary rights and laws, and is owned by Amplify or its licensors. Your access to the Products does not transfer to you or any third party any rights, title, or interest in or to such intellectual property rights. You may not use the content of the Products, in whole or in part, to train or fine-tune any machine learning or artificial intelligence model or system, including for research, product development, commercial services, or any other purpose, commercial or non-commercial. Such use constitutes unauthorized derivative work and a violation of Amplify’s intellectual property rights. Your rights to make use of the Products are limited to those provided under this AUP, any additional terms as may be agreed upon between your School and Amplify, and any available exceptions under applicable intellectual property laws. Amplify Products are protected by patents (see amplify.com/virtual-patent-marking).

5. Account information

Your authentication to enable your access and use of these Products is based in part upon information supplied by you. You are required to (a) provide accurate information to Amplify and promptly report any changes to such information, (b) not share or allow others to use your account, (c) maintain the confidentiality and security of your account information, and (d) use the Products solely via such authorized accounts. You may not share your credentials (i.e., username and password) to access the Products with anyone except the person for whom that account was created. You agree to notify Amplify immediately of any unauthorized use of your account or related authentication information. Amplify will not be responsible for any losses arising out of the unauthorized use of your account.

6. Student data

The parties acknowledge and agree that in the course of providing the Products, Amplify may collect, receive, or generate information that directly relates to an identifiable current or former student of a School (“Student Data”). Student Data may include personal information from a student’s “educational records,” as defined by FERPA. Student Data is owned and controlled by the School and Amplify receives Student Data as a “school official” under Section 99.31 of FERPA for the purpose of providing the Products hereunder. Individually and collectively, Amplify and School agree to uphold our obligations, as applicable, under FERPA, COPPA, the Protection of Pupil Rights Amendment (“PPRA”), and applicable state laws relating to Student Data privacy. Amplify’s Privacy Policy governs the collection, use, and disclosure of Student Data collected or stored on behalf of the School under this AUP. The School is responsible for providing notice or obtaining appropriate consents under applicable laws to authorize Authorized School Users’ use of the Products, including making a copy of the Privacy Policy available to the parents or guardians of Child Users. Please see Additional Terms for Mathigon and Amplify Classroom accounts (Section 18) for additional information.

7. Confidentiality

You acknowledge that in connection with these terms, Amplify may provide you with certain sensitive or proprietary information (“Confidential Information”), including software, source code, assessment instruments, research, designs, methods, processes, customer lists, training materials, product documentation, know-how, or trade secrets, in whatever form. You agree (a) not to use Confidential Information for any purpose other than use of the Products in accordance with the AUP, and (b) to take all steps reasonably necessary to maintain and protect the Confidential Information of Amplify in strict confidence. Confidential Information shall not include information that, as evidenced by your contemporaneous written records: (i) is or becomes publicly available through no fault of your own; (ii) is rightfully known to you prior to the time of its disclosure; (iii) has been independently developed by you without any use of the Confidential Information; or (iv) is subsequently learned from a third party not under any confidentiality obligation.  

8. User materials

You represent, warrant, and covenant that you have all the necessary rights, including consents and intellectual property rights, in connection with any data, information, content, and other materials provided to or collected by Amplify from you or on your behalf in connection with your use of the Products, including materials and content that you post, upload, transmit, email, or otherwise make available on, through, or in connection with the Products (“User Materials”), and that except as otherwise agreed by your School and Amplify, you retain any ownership rights that you have in your User Materials. You hereby grant to Amplify and its affiliates, licensees, and authorized users, a perpetual, non-exclusive, fully paid-up, royalty-free, sublicensable (through multiple tiers), transferable (in whole or in part), worldwide license to use, modify, excerpt, adapt, create derivative works and compilations based upon, publicly perform, publicly display, reproduce, and distribute such User Materials in connection with the Products, subject to Amplify’s Privacy Policy. You and your School are responsible for the accuracy, integrity, completeness, quality, legality, and safety of such User Materials. You further represent and warrant that the posting of such User Materials through or in connection with the Products does not violate the privacy rights, publicity rights, copyrights, contract rights, or any other rights of any person or entity. Amplify and your School reserve the right (but have no obligation) to monitor the Products, including for inappropriate content or conduct, and to remove any content in their discretion without liability to you or any third party. Further, Amplify reserves the right to investigate and take appropriate legal action against anyone who, in Amplify’s discretion, violates this AUP or attempts to do so, including terminating or suspending a user’s account or access to or use of the Products, or reporting any content or conduct to law enforcement authorities. You are solely responsible for creating and maintaining your own backup copies of your User Materials. Amplify is not responsible for any loss, theft, or damage of any kind to any User Materials. 

9. Feedback

If you provide us with any ideas, proposals, or suggestions related to the Products (“Feedback”), you hereby acknowledge and agree that your provision of any Feedback is gratuitous, unsolicited, and without restriction, and does not place Amplify under any fiduciary or other obligation. You hereby grant to Amplify a worldwide, royalty-free, fully paid-up, exclusive, perpetual, irrevocable, transferable, and fully sublicensable (through multiple tiers) license to reproduce, distribute, perform and/or display (publicly or otherwise), adapt, modify, and otherwise use such Feedback, in any format or media now known or hereafter developed, and you hereby represent and warrant that you have all necessary rights to grant the foregoing license.

10. Third party links and services

The Products may make available, or third parties may provide, links to websites, software, applications, resources, advertisements, content, or other products or services created, hosted, or made available by third parties (“Third Party Services”). When you access or use a Third-Party Service, you are interacting with the applicable third party, not with Amplify, and you do so at your own risk. Inclusion of any Third-Party Service or a link thereto within the Products does not imply approval or endorsement of such Third-Party Service. Amplify does not control any content that is not Amplify content, and as such, you may be exposed to offensive, indecent, inaccurate, or otherwise objectionable content in the course of accessing or using such Third-Party Services linked from the Products. You are solely responsible for your interactions with other users of the Products, providers of Third-Party Services, and any other third parties with whom you interact on, through, or in connection with the Products. AMPLIFY IS NEITHER RESPONSIBLE NOR LIABLE FOR ANY THIRD-PARTY SERVICES, INCLUDING THE ACCURACY, INTEGRITY, COMPLETENESS, QUALITY, LEGALITY, USEFULNESS, OR SAFETY OF, OR INTELLECTUAL PROPERTY RIGHTS RELATING TO, SUCH THIRD-PARTY SERVICES. ANY ACCESS TO OR USE OF SUCH THIRD-PARTY SERVICES MAY BE SUBJECT TO THE TERMS AND CONDITIONS AND INFORMATION COLLECTION, USAGE, AND DISCLOSURE PRACTICES OF THIRD PARTIES. THIS AUP DOES NOT CREATE ANY RELATIONSHIP BETWEEN YOU AND ANY PROVIDER OF THIRD-PARTY SERVICES, AND NOTHING IN THIS AUP WILL BE DEEMED TO BE A REPRESENTATION OR WARRANTY BY AMPLIFY WITH RESPECT TO ANY THIRD-PARTY SERVICE.

11. Digital Millennium Copyright Act

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Last Modified: February 2, 2026

S5-01. Investigating math anxiety in the classroom

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

Season 5 is here! This season, we’ll be talking all about math anxiety: what it is, what causes it, and what we can do to prevent or ease this anxiety in the math classroom. To launch this very important theme, we sat down with Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University.
 
As someone who’s been studying math anxiety for more than a decade, he had some interesting research and advice to share on why math anxiety affects so many students (and adults), and tips for how to start reducing it.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:01):
Hey, folks. Welcome back to Math Teacher Lounge. I’m one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:05):
And I am your other host. I’m Bethany Lockhart Johnson. Season five! Hello!

Dan Meyer (00:11):
Bethany, how are you doing? How have you been spending the long break between our recording sessions?

Bethany Lockhart Johnson (00:16):
As much as I loved sharing content from previous seasons, I am so thrilled that we’re back for season five. I have been, you know, chasing a toddler. I think he’s already tired of me saying, “Ooh, can we count that?” He’s like [sighs] “One two, one two.” Like, he’s done already.

Dan Meyer (00:36):
Too much counting. Yeah, I worry about that so much, that my love of mathematics might be perceived by my kids as smothering. Yeah, I worry about the same. We shared with you folks some bangers of reruns, in my humble opinion. Some great guests. But, we’ve been excited—me and Bethany—to hop back on the mics, on the ones and twos, and explore some new ideas together.

Bethany Lockhart Johnson (01:01):
Well, I loved our season talking about joy in mathematics. And personally I could…like, we could turn this whole podcast into joy in mathematics. However, we’re kind of going a different route. Because if you ask folks why they don’t feel joy in mathematics, a lot of times at the root of that is some really intense math anxiety. So this whole season, we’re going to be delving into math anxiety. Exploring what it is, who has it, why do we think it happens, what do we think we can do about it, and how can we navigate through it, so that we can experience that joy in math? These are questions that we’re gonna explore over the course of the season. Dan Meyer, how do you feel about that?

Dan Meyer (01:49):
It feels big and it feels personal. I mean, as we shared in our math stories back from season…whatever it was, math anxiety was a huge part.

Bethany Lockhart Johnson (01:59):
It was last season, Dan.

Dan Meyer (02:00):
Last…? I mean, who can remember? Big part of your journey. I’ve had some very punctuated but intense moments of anxiety in math class. And socially, we have built math up to be this incredibly powerful thing. You know, restricting movement on economic ladders, preventing people from getting into careers they want. Whether or not they have much to do with math class, math anxiety is a really large part of educational but also social life. And yeah, I’m really excited to explore it with you. We’re bringing on some really excellent guests. Some researchers, yes. But not just researchers! Also people who practice in the field and know firsthand what it looks like to resolve issues of anxiety with students.

Bethany Lockhart Johnson (02:45):
Yeah, you’re right, Dan. My math story contained quite a bit of math anxiety, so I am particularly invested in this season. I mean, I still navigate math anxiety. And, you know, many of us do, and let’s talk about it. And let’s—I love that you reminded me. We’re gonna have a lot of great researchers all throughout the season, and a lot of times folks feel like the research happening, there’s sometimes a gap between researchers and what’s actually happening in the classroom. Not in all cases, but a lot of times. Right? And I remember a lot of conversation about the latest research when I was in grad school, but unless you’re actively studying something, sometimes we don’t know what’s happening. Right? We’re really focused on what’s happening right in front of us in our classroom. So let’s take some of that research; let’s break it down; let’s talk to some of the folks who are thinking about this for the bulk of their day, right?

Dan Meyer (03:41):
Yep. So we got our first guest coming up in a moment here.

Bethany Lockhart Johnson (03:45):
So to kick off this season, we’re starting episode one by talking to Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University. And he’s been researching math anxiety for more than a decade. He’s worked with so many amazing folks in the field. He’s worked with students, he’s worked with teachers, with educators…I’m just so excited to talk to him. If you look up math anxiety, you see his name as one of the folks who is really thinking about this at so many different angles, and we get to talk to him. So enjoy our conversation with Dr. Gerardo Ramirez.

Dan Meyer (04:29):
We are so excited to have Dr. Gerardo Ramirez on the show with us. Dr. Ramirez is an Associate Professor of Educational Psychology at Ball State University. Thanks so much for joining us.

Dr. Gerardo Ramirez (04:40):
Yeah, thank you for inviting me to talk about math anxiety.

Bethany Lockhart Johnson (04:43):
So with your interview, Dr. Ramirez, we are actually launching the season. We’re gonna be talking about all different aspects of math anxiety, and it feels pretty perfect that you are first guest of the season, because of the sheer breadth of research and conversations you’ve had about math anxiety. Could you start us off kind of telling us a story of how did you get interested in studying math anxiety? Or why, you know, why did you dive into this topic that, you know, I think a lot of folks might…like, if you’re on a plane, and you say, “Oh, I study math anxiety,” what kind of reaction are you gonna get?

Dr. Gerardo Ramirez (05:24):
Oh, sure. Yeah. I think most people are actually very interested because they all have their own story about feeling anxious about math, or just being anxious about evaluation situations that involve math. And, yeah, they wanna share those stories. People feel quite comfortable talking about their anxiety about math, for some reason. But for me, I started off, when I was in undergrad, I was studying to take the GRE quiz. I was hoping to go into a psych program. But I wasn’t exactly sure what direction yet. As I took some of the practice tests, there’s some situations in which I was very nervous about taking the practice test. And I just noticed that I did really poorly on some of these exams. And so I became very interested in issues like choking under pressure, which means when you underperform relative to what you expected to perform. And so, as I was researching these issues, I started to come across this whole field of math anxiety. And I saw that while there are some people who choke under pressure during tests, there are other people who just have a strong general fear of mathematics.

Dan Meyer (06:29):
That’s really helpful. I can imagine you’re doing a lot of free psychology sessions, free therapy for people on airplanes when they bring to you their own stories of math. So let’s thank you for your service in that sense. I’m super-curious. So Bethany and I have both taught math. We both have seen firsthand what it looks like when a student is anxious in math class, though maybe we don’t have kind of the clinical language to describe it. And I’m curious, from a clinical sense, how do we define math anxiety?

Dr. Gerardo Ramirez (06:57):
Sure. So first off, math anxiety is not something that you would find in the DSM, for instance. But we generally define that as a fear or apprehension to situations that involve math. So it doesn’t have to necessarily be educational situations. It could be someone asks you a math-related question during a party, or you have to calculate the tip at a restaurant, for instance. It doesn’t have to be about schooling situations, although that’s obviously where it seems to matter a lot for many people. So it is basically a fear or apprehension to situations that involve math. And I think distinguishing the term “fear” from “anxiety” is really important here. A lot of times people use those terms interchangeably, and the term “fear” is obviously within our definition of math anxiety. But oftentimes what differentiates anxiety from fear is that, anxiety is—think of it like a recipe. Anxiety is fear plus a little bit of unknown. OK? So if, for instance, if you hated snakes, and they threw a snake at you, you’d be in intense fear. Whereas if you hated snakes and they said, “There is a snake in the room, but I’m not gonna tell you where,” that’s gonna cause anxiety. And so the reason why we call it math anxiety is because a lot of times people experience this fear for a possible unknown future that involves math or possible unknown evaluations that people might have about your competence, because of math. And so for a lot of kids, they feel anxious about how they’re gonna do on a test or whether they’re gonna be able to pass a class or whether they’ll be able to understand what you’re saying in your lessons, for instance. And so the anxiety component really gets at fear of something that’s unknown, but related to mathematics situations.

Dan Meyer (08:47):
Math is somewhere in the ceiling right now. Perhaps I might be surprised with a math situation!

Dr. Gerardo Ramirez (08:52):
Yeah. yep.

Dan Meyer (08:52):
So I have this tendency to assume that every other subject that we teach has it better and easier than math does. It’s not true. I know this is not true. But I’m kind of curious here. Is math anxiety, like, part of a general just set of anxiety around schooling itself? Like, is there a reading anxiety, a writing anxiety, and does that all just flow from the same kind of fount of anxiety around schooling or situations about learning? And what makes math special in this regard? If it is its own special anxiety, for instance?

Dr. Gerardo Ramirez (09:27):
There are different…so some people obviously suffer from generalized anxiety. Right? And so they would, you know, feel anxious both for evaluative and non-evaluative situations. But in the research that we’ve done and that other people have done, there are differences between things like reading anxiety, math anxiety; I’ve also studied spatial and creativity anxiety. A lot of times what we’re trying to do in these studies is we measure all of the above, and we try to show that, look, math anxiety predicts math situations above and beyond these other things. So yeah, we definitely distinguish those things. And so what’s special about math is that, well, I think the symbolic nature is a big part of it. The abstract symbolic nature is just not as tangible to students. They can’t touch it. And so it doesn’t allow ’em to use their full cognitive faculties to play with it, as you might see, for instance, in science. Or it doesn’t allow people to relate math to their own interests the way you might see, for instance, in English. So maybe I hate reading novels, but I’m interested in zombies and you give me a book on zombies, well, ok, great, you’ve connected my personal assets to the topic. Whereas with math, either that’s harder to do or instructors don’t do such a good job of setting that connection up.

Bethany Lockhart Johnson (10:46):
Also, I think, you know, I’ve heard of students being really anxious, let’s say, during a reading session, when teachers used to do—hopefully they’re still not doing it—the popcorn reading, where you just randomly call on a student to read out a sentence. Right? But you don’t really hear students or adults talking about, “Oh, no, no, no, I don’t read; I don’t mess with reading.” You know? Whereas with math, you do hear, “Oh, I’m not a math person. Oh no, no, no, don’t ask me any math questions.” And that is such a distinction.

Dr. Gerardo Ramirez (11:18):
Yeah. And I think a lot of that’s because it’s just so common. As an adult, to be nervous about reading is kind of an uncommon thing. So people feel a stigma around admitting that. But math is something that everyone feels like they’re inadequate in. And so there’s a lot of comfort in telling you how they’re just one of the many people who don’t like math. And that, you know, can have a lot of different consequences and outcomes. I think on the one hand, I think for a lot of kids it becomes a normalized message that if you fear math, that’s OK, join the club. Right? But we have to be careful about that, ’cause a lot of math anxiety researchers will oftentimes say, part of what leads to math anxiety is adults normalizing that it’s OK to be scared of math. So I think a lot of times adults, teachers, for instance, math teachers, they’ll tell kids, “You know, if you’re scared, that’s OK.” And so a lot of the math anxiety community says, “No, no, no, you’re not supposed to do that.” But my recent view is different. I view that as a form of validation. Because math is hard. And so telling kids, “Hey, look, it’s actually easy if you just try,” I don’t think that’s true. It’s actually just hard. And I think even if it was easy, to the kid, it feels hard! And I think something that’s not really well-studied right now in our field is the value of validating people’s math negative math experiences. We don’t want to validate that, ’cause we think that we’re gonna reinforce that. But actually, I think the opposite. I think when you validate people’s negative math experiences, it helps ’em to feel that they can handle it. They can start to take control over their own emotions.

Bethany Lockhart Johnson (12:52):
I love that. And I, I actually, I think that’s so powerful, what you’re talking about, that validation. I taught kindergarten, and I vividly remember being in a parent-teacher conference and that parent saying, “Oh, I wasn’t a math person either,” right? Or, you know, their language and their experience with their own math schooling, their anxiety about math was actually impacting their students’ experience of math. Or the conversation that, when I would go to talk about a math assessment, let’s say, you could see the parent actually tensing up. And there was this moment of validation, that I felt like we needed to make space for that in the conversation with the parents, right?

Dr. Gerardo Ramirez (13:38):
Yeah.

Bethany Lockhart Johnson (13:38):
Like, this is a real thing. And we are working on teaching students that math is something that gets to—your experience with math gets to look all sorts of different ways. And it’s OK if we, you know, make a mistake, or if we kind of only get this part, but we’ve really got that part. Or let’s talk about it; let’s write about it. So I really feel like that that validation is something that’s so missing. And instead of the validation, like you said, you see folks being like, “Oh yeah, me neither. I’m not a math person either.” Right?

Dr. Gerardo Ramirez (14:10):
Yeah. I think…part of the reason why people are comfortable sharing this because they’re looking for validation also. When they say, “Oh, I’m not a math person,” you know, I think they’re hoping that, you’ll say like, “Yeah, me neither,” or “Of course not, ’cause math is terrible.” Right? They’re looking for validation, not to reinforce their perspective, but to feel that it’s OK not to be a math person. And I think that’s one of the techniques that I’m trying to work on in my research right now, is to provide evidence that actually people will work harder when you validate their math experience. You don’t have to tell them a positive story per se. If your current story is “Math is hard and I’m very, very anxious; I’m scared,” then we can just validate that and help you work through that. And it actually will strengthen our relationships. Because if you’re a student and you’re struggling with math and I tell you, “Yeah, it’s hard; it’s OK to struggle with math,” that makes you feel seen. And that’s gonna lead you to want to ask me more for help, because I’m someone who understands you. And that’s a great, you know, remediation opportunity.

Dan Meyer (15:14):
A common thread that I think I’m seeing here in several answers is that math sometimes asks students to disassociate part of themselves. Where success in math oftentimes means working from an a level of abstraction with symbols, like you said, that can feel alien. Like, who am I here? And in the same way, I love that you’re proposing we validate and reassociate people with a very deeply felt part of themselves that is anxious about mathematics.

Dr. Gerardo Ramirez (15:44):
Yeah. I mean, I think that’s what validation’s supposed to do, right? So a lot of us, when we feel these strong emotions, we wonder, “Is this even a real thing? Are other people feeling this? Is there something wrong with me?” So we feel the emotions, but we can’t actually deal with them, because we wonder if they’re legitimate. And so when someone says, like, “Yeah, this is hard,” it crystallizes that emotion. And once something is made real, you can actually choose how you want to deal with it. Some kids are gonna deal with it by staying anxious. But some people are gonna choose to deal with it by saying, “Well, there’s nothing I can do about it now; I have to take this math test, so I’m just gonna think positive.” And that’s great. If the kid can end up saying that to themselves, that’s much more effective than me telling the kid, “Hey, you just gotta think positive. You’re gonna start the test anyway.” And so we want the kid to make meaning of their experience, and the way we do that is by crystallizing their emotions through validation.

Dan Meyer (16:36):
Yeah. I love that. And so what you’re proposing there, I think, sounds like, a solution, like a post-talk solution after students are feeling anxiety.

Dr. Gerardo Ramirez (16:43):
Yes.

Dan Meyer (16:43):
To validate and empathize.

Dr. Gerardo Ramirez (16:45):
Yes.

Dan Meyer (16:45):
And over the course of our season, we hope to explore a lot about solutions to math anxiety that are preventative, that reduce the odds of anxiety arising, through instruction and curriculum, before it arises. And I’m just wondering if you’ve seen anything that would hint at either specific or general words of wisdom you wanna share with the educators, about not just addressing it after the fact, but preventing math anxiety before it arises?

Dr. Gerardo Ramirez (17:14):
To be honest, at this point, I haven’t seen enough evidence for me to recommend anything concretely as an intervention for math anxiety, or an intervention to prevent its development. All I can really do here is rely a lot on the more broad cognitive-behavioral research on anxiety, which says that one of the ways we prevent people from developing anxiety is by helping them to make more positive appraisals of challenge situations. So a lot of times, when kids are challenged, they don’t know how to interpret that. “What does it mean that I’m struggling with this thing?” And so that’s where I think a lot of teachers can help students’ interpretations of that. ‘Cause if you leave kids to their own devices, they’re gonna think, “I’m struggling because I’m stupid. I’m struggling because I’m not good enough. I’m struggling because my dad is right; I’m gonna be a failure.” You know? They’re going to impose an interpretation to a challenge situation regardless. And so, as teachers, one thing we can do is we can help shape that interpretation and say, “What does it mean to struggle with math? People will say it means you’re stupid. That’s one interpretation. What’s another one? It means that your brain is working really hard to think through something. That’s another interpretation. What’s better? What do you think is more helpful?” And then, helping students to see how interpretations matter to how you ultimately feel about something. And that’s a very metacognitive way of thinking about things. So yeah, I would say that one way to prevent it is to help students to take more positive interpretations of their experience. But another way, and I think a more successful way, I think, is to give students early experiences where they feel efficacious dealing with math. One of the ways you do that, for instance, is by obviously making sure that the students understand the material—but that’s obvious; people are trying to do that. One of my favorite recommendations is to keep reassigning assignments, the same exact assignment, for, say, three weeks, back-to-back. So if in week one you do the homework assignment, you do OK, you don’t do so great, when week two you do it, you give the exact same assignment, and now the student can see like, “Wow, OK, this was much easier.” And then, week three, you give the exact same assignment; now the kid’s feeling really confident. And the reason why that’s great is because it helps kids to see that they’re growing in confidence. A lot of times kids don’t get to see that because we’re constantly throwing new assessments at them. And so they’re never seeing that growth. All they’re seeing is a new challenge, a new challenge, a new challenge. So I think we need to set up situations where they can feel that they’re growing, when we keep the assessment static. That can be a formative assessment, for instance—doesn’t have to be a summative assessment.

Bethany Lockhart Johnson (19:55):
That feels so powerful and it feels like it really connects to that validation piece, right? We are actually helping to create a culture in our math classroom where we might struggle with something, but we keep revisiting it. And it’s not so much to reach mastery, but as Dr. Megan Franke — we talked to her about this partial understanding and about pulling on those threads of things that you do understand, so that you can build your confidence…build, not just confidence, but build your…I guess, kind of get your footing, right? You’re saying, “Well, I do understand this. I see how this works.” And if I’m revisiting an assignment, I feel like that would give me permission to like, “Hey, I don’t have to have this figured out on the first pass. You know?

Dr. Gerardo Ramirez (20:44):
Yes, yes. Yeah. I mean, I’m gonna give you a silly analogy, but I think it works. You know, a lot of times people will have nightmares, right? And they’ll keep having the same nightmare over and over again, right? And so one reason that we suspect this happens is because they haven’t worked through whatever that nightmare’s supposed to be about. So if, say, I’m scared of driving, I may be having the same dream about driving and crashing over and over. And we keep having these nightmares. And I think math anxiety is kind of like a waking nightmare, where you keep rehashing something because you haven’t had the chance to finally address that dragon. You know? And so if someone was having a lot of fear over driving, then one behavioral approach would be, you know, to work with a therapist to actually get behind the wheel and maybe drive around the same track over and over until you feel comfortable at that, and then the nightmares stop. Well, the same thing is true, I think, about math, math and math anxiety, is that you wanna give people these opportunities to feel confident by going back to that original experience that caused them to feel anxious, and saying, “This one assignment that we did in week three that really freaked you out, let’s try it again now in week five. How was that?” “Yeah, it wasn’t so bad. It was still kind of annoying.” “OK, we’ll we’ll come back to it.” “Now it’s week seven. Now let’s go back to that assignment. How is it now?” “That’s actually…it wasn’t that terrible.” And that gives people the opportunity to reflect on how they’ve grown past that nightmare.

Bethany Lockhart Johnson (22:05):
I have to say, Dan talked about you being like a therapist. I’m like, wait, “How did you know, Dr. Ramirez? I did have this recurring dream! I did! And I had to face it. No, but I had such intense math anxiety in high school and it was debilitating. And the biggest thing for me, I thought I was the only one. I thought there was something wrong with me. I thought, “Why can’t I figure this out?” There wasn’t a conversation about “Here are some tools,” or “Here are some, some, some…”. Like, “This is OK, for you to feel scared about this or overwhelmed!”

Dr. Gerardo Ramirez (22:41):
Mm-hmm. Mm-hmm.

Bethany Lockhart Johnson (22:42):
You know, I think often when we talk about how widespread math anxiety is, I think a lot of folks automatically jump to high schoolers or college students avoiding math courses. But we see this in really young kids.

Dr. Gerardo Ramirez (22:56):
Yeah. So people are…people are just constantly making meaning of themselves, regardless of the age range. And that’s true even with young kids; they are trying to figure out who they are. Right? And so one of the things you see oftentimes with young kids is you ask ’em, “What are you good at?” And they say, “Everything!” And that’s their attempt to, you know, make meaning of themselves. But sometimes they’re not good at everything. Sometimes they actually struggle in math. And I think even early on, they have to make meaning of that. They say, “Well, I’m good at everything except math.” And how do you make sense of that? Well, why not math? “Oh, because math is terrible. It’s not for everybody. You know, it’s not something that I like.” And so, yeah, in a lot of the studies that we did early on, we basically went into these first-grade classrooms with the purpose of trying to assess whether we can actually show variability in kids’ math anxiety, even early on. In other other words, do kids even report feeling anxious about math situations? Or do they tell us that they’re great at everything? And what we found was that in fact, a good chunk of kids are, again, perfectly willing to tell you that “No, certain situations involving math make me very anxious.” Counting or addition, or doing a problem on the board. And the way we do that is by—I think there are probably more sophisticated ways that can be done, but this is the best we have at this point—is we go in there and we ask them, we show them a bunch of smiley faces and anxious faces. And we say, “I want you to tell me how you feel about these different situations that involve math.” And so we say, “If you feel kind of nervous, I want you to point to this face. If you feel very nervous, point to this face.” And we basically will read to them situations. We’ll say, “How would you feel if your teacher asked you to open up your new math textbook and you saw all the numbers inside of it?” And they’ll point to the really nervous face. So right now, those are some of the more reliable assessments for math anxiety among young kids. And that work showed us that even young kids are self-reporting math anxiety.

Dan Meyer (24:51):

Obviously this is worth our study, because we would hope people would not feel anxious in general, and especially if we have a mandated…kids are mandated to be in math classes for their entire childhood. So I see the need for this study, these studies. I’m curious: What are the consequences, though? Like what, what correlates with math anxiety? What are other reasons why we should care about math anxiety and work to remediate it?

Dr. Gerardo Ramirez (25:16):
Oh, sure. So it correlates with their actual math performance. It can correlate when they choose to do homework. Right? So a lot of times, the parents report having to fight with their kids over math homework a lot. And you also oftentimes see a lot of frustration over mathematics specifically. And so it can, you know, not only affect their academic ongoing outcomes, like math tests and math assignments, but it can also affect their relationship with their parents. So if every time you come home, your dad’s screaming at you because you haven’t done your math homework, and when he asks you to solve the problem in front of them, you don’t remember, ’cause you were checked out, ’cause you’re so stressed out, that’s gonna cause a really negative experience. You know, a lot of times people grow up and they still remember their dad screaming at them over the math homework. You know, it’ll affect your relationship with your teacher. So if you’re making me feel incompetent, if you’re stressing me out, you’re not the kind of person I wanna come to for help. So it can predict relational outcomes as well as academic outcomes. And down the line, of course, when it affects students’ opportunities to get into things like AP classes, it affects students standardized test performance and their choice of colleges, as well as scholarship opportunities.

Dan Meyer (26:29):
Once you show that it correlates to performance, then that opens up a whole range of other correlations that are pretty important, it sounds like. Whether that’s career options or, you know, post-secondary education and the like.

Dr. Gerardo Ramirez (26:40):
Yeah. And a lot of times, when people are choosing a career at college, a lot of times students will make a decision specifically based on what career has less math requirements or less math courses. So I think this finding needs to be verified further. But, there’s some studies showing that, for instance, elementary ed teachers, one factor that feeds into the decision to go into elementary ed is the math requirements are very low in elementary ed. So that can…obviously it’s not what we wanna hear, because these are our first formal math teachers, right? For our kids.

Bethany Lockhart Johnson (27:16):
It feels so powerful, the impact that math anxiety can have, not only while you’re in, let’s say, elementary school, high middle school, high school, but then the impacts beyond that in terms of your career. And I shared this last season, when we talked about our personal math story, but I know when I was navigating the deepest part of my math anxiety, I really felt like, maybe this is a reason I can’t be an elementary school teacher. Because I was so worried that I wouldn’t be able…not that I wouldn’t understand the math for fourth grade, fifth grade, but that there was something about my ability to teach it or understand it or develop a love and passion for it that I wouldn’t be able to do. And I really had to reclaim it in my own way. But, you know, something that I think is so powerful about your research is just the applicability — not only to the field of mathematics, but folks’ everyday lives. And the way that you have talked in the past about math being a gatekeeper…I have a family member who, brilliant American Sign Language interpreter. I mean, amazing. Like a dance with her fingers. I could just watch it all day. And she actually didn’t complete the program because she couldn’t complete the math requirements. And I remember talking to her about like, “Well, have you gone to the free tutoring? Have you gone to, you know, this or that?” But it was a paralyzing fear, you know? So Dr. Ramirez, what do you wish educators understood about math anxiety? Or the research about math anxiety? Or maybe even the general public at large, what do you wish folks understood about math anxiety?

Dr. Gerardo Ramirez (28:58):
Oh, I think that a lot of students, they struggle with math. And I think we wanna normalize that struggle as much as possible. We want to create a culture where it’s OK to do math slow; it’s ok to take your time. And I know that’s not possible with a lot of these requirements that a lot of math teachers have to do. But I think if we want to prevent math anxiety, we have to create opportunities to tell better stories. So that’s ultimately what I tell people is, why do people develop math anxiety? Because they had experiences that challenged their competency and they told a negative story. And so making space to reflect in math classrooms about what does it mean to go slow in math, or what does it mean to make mistakes, and then helping kids to tell better stories, I think it’s really the best thing we can do as math educators. ‘Cause you know, your job is not to be a therapist ultimately. You know, there’s only so much math teachers can do. But I think one of the most powerful things we can create is setting up students’ experiences where they feel confident, and they can tell better stories, so they can have better dreams about math.

Dan Meyer (30:06):
Really appreciate this introduction to math anxiety. It’s been a fantastic kickoff to our season. Dr. Ramirez, thank you so much for joining us.

Dr. Gerardo Ramirez (30:14):
Sure. Thank you.

Dan Meyer (30:16):
Thank you folks so much for listening to that conversation with Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University.

Bethany Lockhart Johnson (30:25):
Dan, OK, if not for your frantic signaling, I would’ve probably asked another 20 questions. I need to know what you thought .

Dan Meyer (30:34):
I found it interesting at all points. And especially I think I started to understand a little bit better where the anxiety comes from for some students. I got a little bit here, which is that I think math, more than other disciplines, involves alienation. Check that word. You like that? Alienation? I’m into it. I’m feeling it. It’s like…to get good at math, to be successful in math, you gotta, as a kid, lose your attachment to the world you understand. And I mean, “got to” as in like, “you are asked to” — many times, unfortunately, by curriculum and instruction. Which is to say, you’re turning things you can hold onto into numerals. Right? You’re turning the world and its patterns that you can see and touch into Xs and Ys. And I just don’t know that other disciplines deal with that as much. Maybe I’m wrong and just guilty of, you know, “grass is always greener” syndrome here. But I think that’s an experience that kids have in math. And I thought that Dr. Ramirez got at that when he’s talking about the need to validate a student’s experience of anxiety. Like, in treating anxiety, sometimes we alienate people further by just like saying, “Oh, no, no, no, it’s just like, you need to, you know, drill yourself more, practice more,” and kind of invalidate that. So this feeling of alienation, I think permeates a lot of math instruction. I’m looking forward to learning more about that with our future episodes

Bethany Lockhart Johnson (32:00):
Alienation. That’s interesting. I definitely felt, I definitely felt isolated and alone many times in my math journey, when I was having my…you know, in high school, when I was feeling like, “Clearly everyone can look at tan, sign, cosign, and that means something to them.” Right? I think it’s really interesting, because I’m thinking about the other disciplines; I’m running through them, and I’m like, even in science, which can seem abstract, so oftentimes there’s these experiments that accompany these concepts, where you’re like, “Look at this concept made real in front of you.” Right? . And so yeah, that’s really interesting.

Dan Meyer (32:39):
You’re always one step away from blowing something up! Or, you know, dissecting something that’s tangible to you.

Bethany Lockhart Johnson (32:46):
Yeah. That’s really interesting. I did really love how he brought up the abstract. And how, I think, even validating it…he talked so much about validation. Which to me was like, YES. If somebody just said, “Hey, it’s not only possible to have math anxiety, but it also doesn’t mean that you don’t belong here.” If somebody had said that, it would’ve literally changed the trajectory, you know? And I wonder what those conversations could look like in our classrooms, where teachers celebrate that. Like, WHOA, this is a new way to think of this. This is a new way. Asking how many, or what do you notice for this image, through a mathematical lens, or looking…we talked to Alison Hintz and Antony Smith, like mathematizing books, like looking through these lenses — it’s an invitation to step into this other world, right? But there’s not only one way to do it. And I think oftentimes it’s like that anxiety of “Am I gonna say the right thing?” or “Am I gonna notice the right thing?” Right? How do we create that space more, where there’s so many possibilities and we want kiddos to notice what they notice, right?

Dan Meyer (33:54):
You gotta become a certain kind of person to be successful in math class. I feel like is part of the implied deal. Where you’ve gotta—like how you said—say a certain thing or think about a certain thing a certain kind of way. You’re trying to become someone who is not necessarily you. Which I think is fundamentally an experience of alienation, separating you from important parts of yourself.

Bethany Lockhart Johnson (34:19):
I will never, ever dive into mathematics on the scale and level that you have with your PhD. You understand math in a way that my brain just…I won’t get there, right? And yet I’m allowed to call myself a mathematician, with all of my deep dives in elementary math and my love of early numeracy and thinking about how we start thinking about counting and numbers. Right? It’s like, if we make more space for what mathematicians can look like, and what is your personal relationship with math…I mean, that to me feels really exciting. ‘Cause I think we both have something to offer each other.

Dan Meyer (35:03):
I think I have never found early math more interesting than when I talk to early math educators. And learn just like all the different ways that students come to understand a concept that I had thought was simple. Like addition of whole numbers. Whoa! There’s a lot of ways kids do that work, and their brains think those thoughts. And, yeah. That’s a good word there you’re offering us and our listeners.

Bethany Lockhart Johnson (35:27):
Yeah. Yeah. I’m really excited about this season. I think there’s — again, there’s no way we’re gonna cover all facets of math anxiety. But I think having the chance to explore it over the course of a season is going to be really fascinating. And really, I hope, destigmatize it and open up the conversation for our listeners. And, you know, if you listeners…we wanna know what you thought of this episode. Do you have any particular questions? Do you have questions related to math anxiety? Questions related to this episode? We are in development for this season, so we’re gonna do our best to get those questions answered. You can keep in touch with us in our Facebook discussion group, Math Teacher Lounge Community, and on Twitter at MTLshow.

Dan Meyer (36:14):
Next time, we’re gonna go deeper into the causes and consequences of math anxiety.

Dr. Erin Maloney (36:20):
It’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you.

Dan Meyer (36:41):
Til next time folks,

Bethany Lockhart Johnson (36:41):
Bye.

Stay connected!

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What Dr. Gerardo Ramirez says about math

“A lot of students struggle with math, and we want to normalize that struggle as much as possible. We have to find opportunities to tell better stories and reflect on our experiences.”

– Dr. Gerardo Ramirez

Associate Professor of Educational Psychology, Ball State University

Meet the guest

Dr. Gerardo Ramirez obtained his Ph.D. from the University of Chicago, where he studied the  role of teachers and parents in shaping the math attitudes of their students, as well as reappraisal techniques to help students cope with anxiety during testing situations.

Dr. Ramirez is currently an associate professor at Ball State, where he examines the role of frustration, empathy, and cultural capital in shaping students’ success and persistence.

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About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

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Details of the products and services available for purchase are set forth on the Site. All prices are displayed exclusive of all taxes and shipping/freight charges. Available payment methods, methods of shipping and shipping charges (including charges for expedited shipping, if available) are detailed on the Site. Company may also collect and remit sales tax on your purchase as required by United States law. If you are a tax-exempt entity, please enter the appropriate information where requested on your order form and we will not collect sales tax on your purchase.

Generally, credit and debit cards are not charged until we either ship the product(s) or confirm store availability (at which time you will be charged only for the products we have actually shipped along with any applicable taxes and shipping charges). However, we may pre-authorize your order amount with your credit or debit card issuer at the time you place the order, which may have an effect on your available credit line. When paying for a preorder with a debit card, you will be charged at the time you place your preorder. Please contact your credit or debit card issuer for more information. If you ordered a special delivery product, you will be charged once a delivery time is confirmed. For digitally delivered orders, your credit or debit card will be charged at the time that you initiate the download of the product.

All purchases made through the Site are made pursuant to a shipment contract. As a result, risk of loss and title for products purchased through the Site pass to you upon delivery of the products to the carrier. You are responsible for filing any claims with carriers for damaged and/or lost shipments. Please note that all shipping addresses must be compliant with the shipping restrictions contained on the Site.

Products, services and specifications

All products and services described or depicted on the Site, and all related features, content, specifications and prices, are subject to change at any time without notice. Certain weights, measures and similar descriptions are approximate and are provided for convenience purposes only. Packaging may vary from that shown. We make reasonable efforts to accurately display the attributes of our products, including the applicable colors; however, the actual color you see will depend on your computer system, and we cannot guarantee that your computer will accurately display such colors. The inclusion of any product or service on the Site at a particular time does not imply or warrant that such product or service will be available at any time. Occasionally, the manufacture or distribution of a certain product or service may be delayed for a number of reasons. In such event, we will make reasonable efforts to notify you of the delay and keep you informed of the revised delivery schedule. By placing an order, you represent that the products and services ordered will be used only in a lawful manner. All DVDs and similar products are sold for private, non-commercial home use (where no admission fee is charged), non-public performance, or classroom or instructional use only, and may not be duplicated.

Return and exchange policy

Unless otherwise specified in the terms associated with a particular product, you may return or exchange any product purchased through the Site within fourteen (14) days of receipt, by calling our customer service hotline, 1–800–823–1969, in the event that the purchased product is defective or you received the wrong product. Except for the foregoing, you may not return, cancel or exchange any product or service. Certain jurisdictions may provide additional statutory rights. Nothing herein is meant to limit your return or cancellation rights under local law. In the event that a return or exchange is due to an incorrect order or faulty product, we will be responsible for the shipping costs associated with such return. We will ship a replacement product upon receiving your defective or incorrect product and verifying the reason for the return or exchange.

Accuracy of information

We attempt to ensure that information on the Site is complete, accurate and current. Despite our efforts, the information on the Site may occasionally be inaccurate, incomplete or out of date. We make no representation as to the completeness, accuracy or currency of any information on the Site. For example, products or services included on the Site may be unavailable, may have different attributes than those listed, or may carry a different price than that stated on the Site. If an item’s correct price is higher than our stated price, we will, at our discretion, either contact you for instructions before shipping or cancel your order and notify you of such cancellation. Items in your “Shopping Bag” reflect the current price displayed on the item’s product detail page. Please note that this price may differ from the price displayed when the item was first placed in your Shopping Bag. In addition, we may make changes in information about price and availability without notice.

Chemicals, agricultural materials, and other hazardous materials

Certain products made available through the Site may include chemicals, agricultural materials or other material that may be subject to regulations or restrictions with respect to import or export, or to whom we may sell such material or where or how such material may be used. It is your responsibility to read and abide by all warning notices that accompany any products that you purchase. In addition, we reserve the right to request additional information from you, verify your identity, limit sales to certified educational or research institutions, or cancel or delay your order if required by law or if we believe it is necessary or advisable. Due to special shipping and handling requirements, freight companies routinely impose a surcharge on each package of hazardous material shipped. In such event, we will add such surcharge to your order.

Registration and account security

You may have the ability to create an account on or through the Site (an “Account”). If you submit registration information to create an Account, you represent and warrant that all information submitted to Company in connection with such registration is complete and accurate, and that you will update such information if it changes. If you create an Account, you are responsible for all use of your Account, and for maintaining the confidentiality of the information used to access your Account (including user name and password). You agree not to share your user name or password with anyone, or use anyone else’s Account at any time. You agree to notify Company immediately if you suspect any unauthorized use of, or access to, your Account (including your user name and password). You acknowledge that the reuse of your password in connection with accounts on other websites increases the risk that the security of your Account may be compromised.

The Site may make available, or third parties may provide, links to other websites, applications, resources, advertisements, Content or other products or services created, hosted or made available by third parties (“Third Party Services”), and such third party may use other third parties to provide portions of the Third Party Service to you, such as technology, development or payment services. When you access or use a Third Party Service, you are interacting with the applicable third party, not with Company, and you do so at your own risk. Company is not responsible for and makes no warranties, express or implied, as to the Third Party Services or the providers of such Third Party Services (including the accuracy or completeness of the information provided by such Third Party Service or the privacy practices of any third party). Inclusion of any Third Party Service or a link thereto on the Site does not imply approval or endorsement of such Third Party Service. Company is not responsible or liable for the content or practices of any Third Party Service or third party, even if such Third Party Service links to or is linked by the Site, and even if such Third Party Service is operated by an affiliate of Company or a company otherwise connected with us or the Site

Feedback

Unless we expressly agree otherwise in writing, if you provide us with any ideas, proposals, suggestions or materials (“Feedback”), whether related to the Site or otherwise, you hereby acknowledge and agree that (a) your provision of any Input is gratuitous, unsolicited and without restriction and does not place Company under any fiduciary or other obligation; and (b) any Feedback is not confidential and Company has no confidentiality obligations with respect to such Feedback.. You hereby grant to us a world-wide, royalty-free, fully paid-up, exclusive, perpetual, irrevocable, transferable and fully sublicensable (through multiple tiers) license, without additional consideration to you or any third party, to reproduce, distribute, perform and display (publicly or otherwise), adapt, modify and otherwise use and exploit such Feedback, in any format or media now known or hereafter developed, and you hereby represent and warrant that you have all necessary rights to grant the foregoing license. We may use Feedback for any purpose whatsoever without permission or notice, compensation or attribution to you or any third party. You are and remain responsible and liable for the content of any Feedback.

Privacy

Please review the Privacy Policy for the Site, available at http://www.amplify.com/privacy, to learn about our information collection, usage and disclosures practices with respect to information collected by us through the Site. Please note that certain products or services made available by us, other than the Site, may be subject to different privacy policies. In addition, the Site’s Privacy Policy does not address, and we are not responsible or liable for, the information collection, usage and disclosures practices of any third party or Third Party Service.

Disclaimers

THE SITE, USER CONTENT, THIRD PARTY SERVICES, AND ALL PRODUCTS AND SERVICES SOLD THROUGH THE SITE (COLLECTIVELY, THE “SITE PRODUCTS”) ARE MADE AVAILABLE “AS-IS” AND “AS AVAILABLE” AND COMPANY DOES NOT GUARANTEE OR PROMISE ANY SPECIFIC RESULTS FROM USE OF THE SITE PRODUCTS. COMPANY AND ITS AFFILIATES EXPRESSLY DISCLAIM ANY WARRANTIES AND CONDITIONS OF ANY KIND, WHETHER EXPRESS OR IMPLIED, INCLUDING THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. IN PARTICULAR, COMPANY AND ITS AFFILIATES MAKE NO WARRANTY THAT THE SITE OR USER CONTENT OR THIRD PARTY SERVICES, OR YOUR ACCESS TO OR USE THEREOF, WILL BE UNINTERRUPTED, TIMELY, SECURE, ERROR-FREE, ACCURATE OR RELIABLE. UNDER NO CIRCUMSTANCES SHALL WE BE LIABLE FOR ANY CONSEQUENCES OF ANY UNAUTHORIZED USE OF THE SITE PRODUCTS THAT VIOLATES ANY APPLICABLE LAW OR REGULATION. CERTAIN STATE LAWS DO NOT ALLOW LIMITATIONS ON IMPLIED WARRANTIES OR THE EXCLUSION OR LIMITATION OF CERTAIN DAMAGES. IF THESE LAWS APPLY TO YOU, SOME OR ALL OF THE ABOVE DISCLAIMERS, EXCLUSIONS, OR LIMITATIONS MAY NOT APPLY TO YOU, AND YOU MIGHT HAVE ADDITIONAL RIGHTS.

Under no circumstances will Company or its affiliates be responsible for any loss or damage, including property damage, personal injury or death, resulting from use of the Site, Products, problems or technical malfunction in connection with use of the Site, Products, attendance at any Company event or the conduct of any Site users, whether online or offline. Your use of the Site, Products is solely your responsibility and at your own risk. The User Content and Third Party Services do not necessarily reflect the opinions or policies of Company or its affiliates.

Limitations on liability

IN NO EVENT WILL COMPANY OR ITS AFFILIATES BE LIABLE TO YOU OR ANY THIRD PARTY FOR ANY INDIRECT, CONSEQUENTIAL, EXEMPLARY, INCIDENTAL, SPECIAL OR PUNITIVE DAMAGES, INCLUDING LOST PROFIT DAMAGES, ARISING FROM YOUR USE OF THE SITE PRODUCTS, EVEN IF COMPANY OR ONE OF ITS AFFILIATES HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. NOTWITHSTANDING ANYTHING TO THE CONTRARY CONTAINED HEREIN, THE TOTAL LIABILITY OF COMPANY AND ITS AFFILIATES TO YOU FOR ANY CAUSE WHATSOEVER AND REGARDLESS OF THE FORM OF THE ACTION, WILL AT ALL TIMES BE LIMITED TO THE AMOUNT PAID, IF ANY, BY YOU TO COMPANY FOR THE SITE PRODUCTS.

Indemnity

You agree to indemnify and hold harmless Company, its affiliates, subcontractors and other partners, and each of their respective officers, agents, partners and employees, from any losses, costs, expenses (including reasonable attorneys’ fees), liabilities, claims or demands, due to or arising out of your use of the Site, your breach or alleged breach of this Agreement, your violation or alleged violation of any rights of another, or any Content that you post or otherwise submit on, through or in connection with the Site.

Termination

This Agreement remains in full force and effect while you access or use the Site. If you create an Account, you may terminate your Account at any time, for any reason, by contacting us at general@amplify.com. Company may terminate or suspend your Account and/or your access to or use of the Site at any time, for any or no reason, with or without prior notice or explanation, and without liability. Upon any such suspension or termination, your right to access and use the Site will immediately cease, and Company may immediately deactivate or delete your Account and all files and other information associated with it, and/or bar any further access to such files and other information. Company shall not be liable to you or any third party for any suspension or termination of your Account or of access to or use of the Site or any such files or other information, and shall not be required to make such files and other information available to you after any such suspension or termination. Sections 2, 5, 13, 17, 18, 19, 22, and 26 shall survive any expiration or termination of this Agreement.

U.S. export controls

All software made available in connection with the Site (“Software”) may be subject to United States export controls. No Software may be downloaded from or through the Site or otherwise exported or re-exported in violation of U.S. export laws.

Governing law

The terms of this Agreement are governed by the laws of the State of New York, U.S.A., without regard to its conflicts of law provisions, and regardless of your location.

Arbitration

EXCEPT FOR DISPUTES THAT QUALIFY FOR SMALL CLAIMS COURT, ALL DISPUTES ARISING OUT OF OR RELATED TO THIS AGREEMENT, WHETHER BASED IN CONTRACT, TORT, STATUTE, FRAUD, MISREPRESENTATION OR ANY OTHER LEGAL THEORY, WILL BE RESOLVED THROUGH FINAL AND BINDING ARBITRATION BEFORE A NEUTRAL ARBITRATOR INSTEAD OF IN A COURT BY A JUDGE OR JURY, AND YOU AGREE THAT COMPANY AND YOU ARE EACH WAIVING THE RIGHT TO TRIAL BY A JURY. YOU AGREE THAT ANY ARBITRATION UNDER THIS AGREEMENT WILL TAKE PLACE ON AN INDIVIDUAL BASIS; CLASS ARBITRATIONS AND CLASS ACTIONS ARE NOT PERMITTED AND YOU ARE AGREEING TO GIVE UP THE ABILITY TO PARTICIPATE IN A CLASS ACTION.

Arbitration procedure

Any arbitration under Section 23 above will be administered by the American Arbitration Association under its Commercial Arbitration Rules and Supplementary Procedures for Consumer-Related Disputes (“Supplementary Procedures”), as amended by this Agreement. The Supplementary Procedures are available online at http://www.adr.org/aaa/ShowPDF?doc=ADRSTG_015820. The arbitrator will conduct hearings, if any, by teleconference or videoconference, rather than by personal appearances, unless the arbitrator determines upon request by you or by us that an in-person hearing is appropriate. Any in-person appearances will be held at a location which is reasonably convenient to both parties with due consideration of their ability to travel and other pertinent circumstances. If the parties are unable to agree on a location, such determination should be made by the AAA or by the arbitrator. The arbitrator’s decision will follow the terms of this Agreement and will be final and binding. The arbitrator will have authority to award temporary, interim or permanent injunctive relief or relief providing for specific performance of this Agreement, but only to the extent necessary to provide relief warranted by the individual claim before the arbitrator. The award rendered by the arbitrator may be confirmed and enforced in any court having jurisdiction thereof. Notwithstanding any of the foregoing, nothing in this Agreement will preclude you from bringing issues to the attention of federal, state, or local agencies, and, if the law allows, they can seek relief against us for you.

Employment opportunities

Company may, from time to time, post Company employment opportunities on the Site and/or invite users to submit resumes to Company. If you choose to submit your name, contact information, resume and/or other personal information to Company in response to such employment listings, you are authorizing Company to use this information for all lawful and legitimate hiring, employment and other business purposes. Company also reserves the right, at its discretion, to forward such information to Company’s affiliates for their legitimate business purposes. Nothing in this Agreement or contained on the Site will constitute a promise by Company to review any such information, or to contact, interview, hire or employ any individual who submits such information.

The Digital Millennium Copyright Act of 1998 (“DMCA”) provides recourse for copyright owners who believe that material appearing on the Internet infringes their rights under U.S. copyright law. If you believe that any material residing on or linked to from the Site infringes your copyright, please send (or have your agent send) to Company’s Copyright Agent a notification of claimed infringement with all of the following information: (a) identification of the copyrighted work claimed to have been infringed, or, if multiple copyrighted works are covered by a single notification, a representative list of such works; (b) identification of the claimed infringing material and information reasonably sufficient to permit us to locate the material on the Site (such as the URL(s) of the claimed infringing material); (c) information reasonably sufficient to permit us to contact you, such as an address, telephone number, and, if available, an e-mail address; (d) a statement by you that you have a good-faith belief that the disputed use is not authorized by the copyright owner, the copyright owner’s agent or the law; (e) a statement by you that the above information in your notification is accurate and a statement by you, made under penalty of perjury, that you are the owner of an exclusive right that is allegedly infringed or are authorized to act on such owner’s behalf; and (f) your physical or electronic signature. Company’s Copyright Agent for notification of claimed infringement can be reached as follows: Copyright Agent, Amplify Education, Inc., 55 Washington Street, Brooklyn, NY 11201; Facsimile: 212-796-2311; Attn: Legal. Company’s Copyright Agent for notification of claimed infringement can also be reached electronically at: legal@amplify.com. Company reserves the right to terminate infringers’ and suspected infringers’ Accounts or their access to or use of the Site.

Notice for California residents

Under California Civil Code Section 1789.3, California users are entitled to the following consumer rights notice: If you have a question or complaint regarding the Site, please contact us by writing to Amplify Education, Inc., 55 Washington Street, Brooklyn, NY 11201 or by calling us at 212–213–8177 or sending a fax to 212–796–2311. California residents may reach the Complaint Assistance Unit of the Division of Consumer Services of the California Department of Consumer Affairs by mail at 1625 North Market Blvd., Sacramento, CA 95834, or by telephone at (916) 445–1254 or (800) 952–5210.

Other terms

This Agreement does not, and shall not be construed to, create any partnership, joint venture, employer-employee, agency or franchisor-franchisee relationship between you and Company. You may not assign, transfer or sublicense any or all of your rights or obligations under this Agreement without our express prior written consent. We may assign, transfer or sublicense any or all of our rights or obligations under this Agreement without restriction. The failure of Company to exercise or enforce any right or provision of this Agreement will not operate as a waiver of such right or provision. The Section titles in this Agreement are for convenience only and have no legal or contractual effect. References to and mentions of the word “include,” “includes,” “including,” or “e.g.” will mean “including, without limitation.” References to “discretion” will mean “sole discretion.” This Agreement operates to the fullest extent permissible by law. If any provision of this Agreement is unlawful, void or unenforceable, that provision is deemed severable from this Agreement and does not affect the validity or enforceability of any remaining provisions. Without limitation, you agree that a printed version of this Agreement and of any notice given in electronic form shall be admissible in judicial or administrative proceedings based upon or relating to this Agreement to the same extent and subject to the same conditions as other business documents and records originally generated and maintained in printed form. Company will not be responsible for failures to fulfill any obligations due to causes beyond its control.

Please contact us at legal@amplify.com with any questions regarding this Agreement.

Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

Lesson 4-1: Alike and DifferentSo Much Sorting
Lesson 4-2: Sort Objects into GroupsSo Much Sorting
Lesson 4-3: Count Objects in GroupsWhat’s that Shape called?
Another Shape

Unit 5: 2-Dimensional Shapes

Lesson 5-1: TrianglesWhat’s that Shape called?
Lesson 5-2: Squares and RectanglesAnother Shape
Lesson 5-4: CirclesWhat’s that Shape called?

Unit 6: Understand Addition

Lesson 6-1: Represent and Solve Add To ProblemsHow Many Objects?
Lesson 6-2: Represent and Solve More Add to ProblemsWhat does it mean to add?
Lesson 6-3: Represent and Solve Put Together ProblemsWhat does it mean to add?

Unit 7: Understand Subtraction

Lesson 7-1: Represent Take Apart ProblemsWhat does it mean to subtract?
Lesson 7-2: Represent and Take From ProblemsWhat does it mean to subtract?

Unit 8: Addition and Subtraction Strategies

Lesson 8-4: Ways to Decompose 6 and 7Harry Explores the Ocean
Lesson 8-6: Ways to Decompose 8 and 9Harry Explores the Ocean
Lesson 8-7: Ways to Make 10Harry Explores Space
Lesson 8-8: Ways to Decompose 10Showing What We Know About 10

Unit 13: Analyze, Compare and Compose Shapes

Lesson 13-1: Compare and Contrast 2-Dimensional ShapesWhat’s that Shape called?

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

Lesson 2-5: Patterns when Representing Objects in a GroupMeeting Yara

Unit 3: Place Value

Lesson 3-1: Numbers 11 to 19Same Number, Different Ways
Lesson 3-2: Understand 10sBoris’s Thimbles
Lesson 3-4: Represent 2-DigitsSame Number, Different Ways
Lesson 3-5: Represent 2-Digits in Different WaysSame Number, Different Ways

Unit 4: Addition within 20: Facts and Strategies

Lesson 4-1: Relate Counting to AdditionInvestigate: Game Points
Meeting Yara
Lesson 4-5: Make a Ten to AddMaking 10
Lesson 4-9: Find an Unknown Number in an Addition EquationA Community Working Together
Lesson 4-10: Understand The Equal SignKitten Coaster
Lesson 4-11: True Addition EquationsKitten Coaster
Replanting Huli

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

Lesson 7-1: Represent and Solve Add to ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 7-2: Represent and Solve More Add to ProblemsHelping Others

Unit 8: Meanings of Subtraction

Lesson 8-1: Represent and Solve Take From ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 8-2: Represent and Solve More Take From ProblemsHelping Others

Unit 13: Equal Shares

Lesson 13-1: Understand Equal SharesA Bigger Part
Lesson 13-2: Partition Shapes into HalvesFair and Square
Lesson 13-3: Partition Shapes into FourthsFair and Square
Lesson 13-4: Describe the WholeOne of the Parts, All of the Parts
Lesson 13-5: Describe the Halves and Fourths of ShapesOne of the Parts, All of the Parts

Grade 2

Unit 2: Place Value to 1,000

Lesson 2-1: Understand HundredsWhat Makes a Hundred?
Lesson 2-2: Understand 3-digit numbersWhat’s the Value?
Lesson 2-3: Read and Write Numbers to 1000All the Ways!
Lesson 2-4: Decompose 3-digit numbersA New Representation

Unit 3: Patterns within Numbers

Lesson 3-1: Counting PatternsInvestigate: A Mistake in Mom’s Office
Lesson 3-2: Patterns when Skip Counting by 5?What’s that Number?
Lesson 3-3: Patterns when Skip Counting by 10s and 100sLooking for Patterns

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

Lesson 5-9: Add More Than Two NumbersHow Much Money?

Unit 7: Measure and Compare Lengths

Lesson 7-10: Solve Problems using LengthLengths of Jungle Animals

Unit 8: Measurement, Time and Money

Lesson 8-1: Understand the Value of CoinsDiscovering Coins (Part I)
Discovering Coins (Part 2)
Lesson 8-2: Solving Money Problems Using CoinsHow Much Money?

Unit 9: Strategies to Add 3-Digit Numbers

9-2: Represent Addition with 3-Digit NumbersThere’s Something About Berries
9-3: Represent Addition with 3-Digit Numbers With RegroupingBaking with Skunk

Unit 11: Data Analysis

Lesson 11-5: Understand Line PlotsMessy Measurements
Lesson 11-6: Show Data on a Line PlotBracelets and Wristbands

Grade 3

Unit 2: Use Place Value Fluently to Add and Subtract within 1001

Lesson 2-3: Estimate Sums and DifferencesAdding Strategically
Lesson 2-6: Use Partial Sums to AddWhat is an Algorithm
Lesson 2-10: Fluently Add Within 1,000How Would You Solve It?
Determining the Sum of 2 or More Addends

Unit 3: Multiplication and Division

Lesson 3-1: Understand Equal GroupsEqual Groups
Lesson 3-3: Understand the Commutative PropertyArrays of Flavor
Lesson 3-7: Find the UnknownIt’s Chilli In Here!

Unit 4: Use Patterns to Multiply by 0,1, 2, 5 and 11

Lesson 4-6: Solve Problems Using Equal GroupsDivision and Multiplication Equations

Unit 6: Connect Area and Multiplication

Lesson 6-1: Understand AreaTiling Figures
Lesson 6-2: Count Unit Squares to Determine AreaRectangles and Arrays
Unit 2: Lesson 4: Area Hunt

Unit 7: Fractions

Lesson 7-5: Represent Whole Numbers as FractionsCat Crossing
Lesson 7-6: Represent a Greater Than One on a Number LineFractions on the Number Line

Unit 9: Use Multiplication to Divide

Lesson 9-1: Use Multiplication to Solve Division ProblemsRelating Quotients to Familar Products

Unit 12: Measurement and Data

Lesson 12-10: Measure to Halves or Fourths of an InchHow Long Is It?
More Precise Measurements
Lesson 12-11: Show Measurement Data on a Line PlotThe Plot Chickens

Unit 13: Describe and Analyze 2-Dimensional Shapes

Lesson 13-1: Describe and Classify PolygonsPiho’s Shapes
Lesson 13-2: Classify QuadrilateralsRectangles, Squares and Rhombuses

Grade 4

Unit 4: Multiplication as Comparison

Lesson 4-1: Understanding Comparing with MultiplicationRepresenting “Times as Many”
Lesson 4-2: Represent Comparison ProblemsSticker Mania
Lesson 4-3: Solve Comparison Problems Using MultiplicationGoing Swimming

Unit 5: Numbers and Number Patterns

Lesson 5-1: Understand Factors of a NumberHamster Homes
Lesson 5-3: Understand MultiplesFactor or Multiple
Lesson 5-4: Number or Shape PatterrnsHow Does it Grow?
Lesson 5-5: Generate a PatternHow Does it Grow?

Unit 6: Multiplication Strategies with Multi-Digit Numbers

Lesson 6-2: Estimate ProductsA Reasonable Answer
Lesson 6-4: Multiply 2-Digit by 1-Digit FactorsCounting Flowers for Lei
Lesson 6-5: Multiply Multi-Digit 1-Digit FactorsA Lei Making Workshop
Lesson 6-7: Multiply 2-Digit FactorsDouble Decomposition

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

Lesson 9-2: Represent Adding FractionsPizza Problems
Lesson 9-3: Add Fractions with Like DenominatorsPizza Problems
Lesson 9-4: Represent Subtracting FractionsPizza Problems
Lesson 9-5: Subtract Fractions with Like DenominatorsPizza Problems
Lesson 9-6: Solve Problems Using FractionsPizza Problems

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

Lesson 11-1: Represent Multiplication of a Unit Fraction by a Whole NumberEqual Groups of Fractions

Unit 12: Decimal Fractions

Lesson 12-2: Understand Decimal NotationA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-3: Compare DecimalsCan You Compare?

Grade 5

Unit 2: Volume

Lesson 2-2: Use Unit Cubes to Determine VolumePutting It Together
Lesson 2-3: Use Formula to Determine VolumePutting It Together
Lesson 2-4: Determine the Volume of Composite FiguresFigures Made of Prisms

Unit 3: Place Value and Number Relationships

Lesson 3-1: Generalize Place ValuePlace Value Patterns
Lesson 3-4: Compare DecimalsSelling Collectibles
Lesson 3-5: Use Place Value to Round DecimalsWhich Way Down the Mountain?

Unit 5: Multiply Multi-Digit Whole Numbers

Lesson 5-1: Understand Powers and ExponentsMonarch Butterflies
Lesson 5-2: Patterns When Multiplying a Whole Number by Powers of 10All About that Base
Lesson 5-5: Use Partial Products to Multiply Multi-Digit FactorsHow Do They Compare?
Lesson 5-6: Relate Partial Products to an AlgorithmPatrial Products Everywhere
Lesson 5-7: Multiply Multi-Digit Factors FluentlyPatrial Products Everywhere

Unit 6: Multiply Decimals

Lesson 6-1: Patterns when Multiplying Decimals by Powers of 10Powers of 10 Parade

Unit 7: Divide Whole Numbers

Lesson 7-5: Use Partial Quotients to DivideEmptying the Water Tank

Unit 8: Divide Decimals

Lesson 8-1: Division Patterns with Decimals and Patterns of 10Powers of 10 Parade

Unit 10: Multiply Fractions

Lesson 10-3: Represent Multiplication of a Fraction By A FractionMaking Food
Lesson 10-4: Multiply a Fraction By A FractionMaking Food
Lesson 10-5: Determine the Area of Rectanges with Fractional Side LengthsInstalling Turf
Lesson 10-6: Represent Multiplication of Mixed NumbersInstalling Turf
Lesson 10-7: Multiply Mixed NumbersInstalling Turf

Unit 13: Geometry

Lesson 13-2: Plot Ordered Pairs on the Coordinate PlaneBullseye!

Grade 6

Module 1: Ratios and Rates

Reveal MathAmplify Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathAmplify Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathAmplify Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathDesmos Math 6–A1
Topic A Representing and Reasoning About Ratios 
Lesson 1: Ratios
Lesson 2: Ratios
Unit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 3: Rice Ratios
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 7: Mixing Paint, Part 1
Lesson 8 World Records (Print available)
Lesson 11 Community Life (Print available)
Practice Day 1 (Print available)
Lesson 5: Solving Problems by Finding Equivalent Ratios
Lesson 6: Solving Problems by Finding Equivalent Ratios
Unit 2
Lesson 5 Balancing Act
 
Lesson 7: Associated Ratios and the Value of a Ratio
Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio
Unit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Topic B Collections of Equivalent Ratios 
Lesson 9: Tables of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: The Structure of Ratio Tables-Additive and MultiplicativeUnit 2
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 11: Comparing Ratios Using Ratio TablesUnit 2
Lesson 10: Balloons
Lesson 12: From Ratio Tables to Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 8: World Records (Print available)
Lesson 12: Mixing Paint, Part 2
Lesson 14: Lunch Waste (Print available)
Practice Day 2 (Print available)
Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio 
Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane 
Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections 
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 2
Lesson 8: World Records (Print available)
 
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 17: From Rates to Ratios 
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7: More Soft Serve
Lesson 19: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 20: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 21: Getting the Job Done—Speed, Work, and Measurement Units
Lesson 22: Getting the Job Done—Speed, Work, and Measurement Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions.Unit 3
Lesson 13: A Country as a Village
Topic D Percent 
Lesson 24: Percent and Rates per 100Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 25: A Fraction as a Percent 
Lesson 26: Percent of a Quantity.Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 27: Solving Percent Problems
Lesson 28: Solving Percent Problems
Lesson 29: Solving Percent Problems
Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Practice Day 2 (Print available)

Module 2: Arithmetic Operations Including Division of Fractions

Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models.Unit 4
Lesson 2: Making Connections (Print available)
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 1: Cookie Cutter
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 5: Garden Bricks
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 5: Creating Division Stories. 
Lesson 6: More Division Stories. 
Lesson 7: The Relationship Between Visual Fraction Models and Equations 
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap [Free lesson]
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 10: The Distributive Property and the Products of DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 11: Fraction Multiplication and the Products of DecimalsUnit 5
Lesson 7: Multiplication Methods (Print available)
Topic C Dividing Whole Numbers and Decimals
Lesson 12: Estimating Digits in a Quotient 
Lesson 13: Dividing Multi-Digit Numbers Using the AlgorithmUnit 5
Lesson 9: Long Division Launch
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions. 
Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math 
Topic D Number Theory—Thinking Logically About Multiplicative Arithmetic 
Lesson 16: Even and Odd Numbers 
Lesson 17: Divisibility Tests for 3 and 9 
Lesson 18: Least Common Multiple and Greatest Common FactorUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)
Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm 

Module 3: Rational Numbers

Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and ValueUnit 7Lesson 2: Digging Deeper
Lesson 2: Real-World Positive and Negative Numbers and Zero.
Lesson 3: Real-World Positive and Negative Numbers and Zero.
Unit 7 Lesson 4: Sub-Zero
Lesson 4: The Opposite of a Number
Lesson 5: The Opposite of a Number’s Opposite
Lesson 6: Rational Numbers on the Number Line
Unit 7Lesson 2: Digging Deeper
Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers 
Lesson 11: Absolute Value—Magnitude and Distance
Lesson 12: The Relationship Between Absolute Value and Order
Unit 7Lesson 5: Distance on the Number Line
Lesson 13: Statements of Order in the Real World. 
Topic C Rational Numbers and the Coordinate Plane 
Lesson 14: Ordered Pairs
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 16: Symmetry in the Coordinate Plane. 
Lesson 17: Drawing the Coordinate Plane and Points on the PlaneLesson 10: The A-maze-ing Coordinate Plane
Lesson 18: Distance on the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 19: Problem Solving and the Coordinate PlaneUnit 7Lesson 12: Graph Telephone (Print available)Practice Day 2 (Print available)

Module 4: Expressions and Equations

Topic A Relationships of the Operations 
Lesson 1: The Relationship of Addition and Subtraction 
Lesson 2: The Relationship of Multiplication and Division 
Lesson 3: The Relationship of Multiplication and Addition. 
Lesson 4: The Relationship of Division and Subtraction 
Topic B Special Notations of Operations 
Lesson 5: ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Practice Day 2 (Print available)
Lesson 6: The Order of Operations 
Topic C Replacing Letters and Numbers 
Lesson 7: Replacing Letters with Numbers
Lesson 8: Replacing Numbers with Letters
Unit 6Lesson 7: Border TilesLesson 12: Squares and Cubes
Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: Writing Addition and Subtraction ExpressionsUnit 6Lesson 6: Vari-applesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 13: Writing Division Expressions 
Lesson 14: Writing Division Expressions 
Topic E Expressing Operations in Algebraic Form 
Lesson 15: Read Expressions in Which Letters Stand for Numbers
Lesson 16: Write Expressions in Which Letters Stand for Numbers
Lesson 17: Write Expressions in Which Letters Stand for Numbers
Unit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6Lesson 7: Border TilesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and DifferencesLesson 12: Squares and Cubes
Lesson 22: Writing and Evaluating Expressions—ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Lesson 12: Squares and CubesPractice Day 2 (Print available)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6Lesson 1: Weight for It [Free lesson]
Lesson 25: Finding Solutions to Make Equations TrueUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five EquationsLesson 3: Hanging Around
Lesson 27: One-Step Equations—Multiplication and Division
Lesson 28: Two-Step Problems—All Operations
Lesson 29: Multi-Step Problems—All Operations
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve
Topic H Applications of Equations 
Lesson 30: One-Step Problems in the Real World
Lesson 31: Problems in Mathematical TermsLesson Lesson 32: Multi-Step Problems in the Real World
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and SolvePractice Day 1 (Print available)
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1Lesson 3: Exploring Parallelograms (Print available) [Free lesson]Lesson 4: Off the Grid
Lesson 2: The Area of Right Triangles
Lesson 3: The Area of Acute Triangles Using Height and Base
Unit 1Lesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 4: The Area of All Triangles Using Height and BaseUnit 1Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 5: The Area of Polygons Through Composition and DecompositionUnit 1Lesson 2: LettersLesson 8: Pile of PolygonsPractice Day 1 (Print available)
Lesson 6: Area in the Real World 
Topic B Polygons on the Coordinate Plane 
Lesson 7: Distance on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 8: Drawing Polygons in the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 10: Distance, Perimeter, and Area in the Real World 
Topic C Volume of Right Rectangular Prisms 
Lesson 11: Volume with Fractional Edge Lengths and Unit CubesUnit 4Lesson 11: Classroom ComparisonsLesson 12: Puzzling Areas (Print available) [Free lesson]Lesson 13: Volume ChallengesLesson 14: Planter Planner (Print available)
Lesson 12: From Unit Cubes to the Formulas for Volume  
Lesson 13: The Formulas for Volume 
Lesson 14: Volume in the Real WorldUnit 4Lesson 14: Planter Planner (Print available)
Topic D Nets and Surface Area 
Lesson 15: Representing Three-Dimensional Figures Using Nets
Lesson 16: Constructing Nets
Lesson 17: From Nets to Surface Area
Unit 1Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1Lesson 9: Renata´s Stickers [Free lesson]Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)Practice Day 2 (Print available)
Lesson 19: Surface Area and Volume in the Real World 
Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums 
Lesson 3: The Area of Acute Triangles Using Height and BaseUnit 1Lesson 5 Exploring TrianglesLesson 6 Triangles and ParallelogramsLesson 7 Off the Grid, Part 2

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 1: Posing Statistical QuestionsUnit 8 Lesson 1: Screen TimeLesson 2: Dot Plots
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8 Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic B Summarizing a Distribution That Is Approximately Symmetric Using the Mean and Mean Absolute Deviation 
Lesson 6: Describing the Center of a Distribution Using the Mean
Lesson 7: The Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 8: Variability in a Data DistributionUnit 8Lesson 8: Pop It!
Topic 9: The Mean Absolute Deviation (MAD).Unit 8Lesson 9: Hoops
Lesson 10: Describing Distributions Using the Mean and MAD
Lesson 11: Describing Distributions Using the Mean and MAD
Unit 8Lesson 10 Hollywood Part 1Practice Day 1 (Print available)
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 13: Describing Variability Using the Interquartile Range (IQR)Unit 8Lesson 13: Pumpkin Patch
Lesson 14: Summarizing a Distribution Using a Box Plot
Lesson 15: More Practice with Box Plots
Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Understanding Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic D Summarizing and Describing Distributions 
Lesson 17: Developing a Statistical Project 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8Lesson 5: The Plot Thickens [Free lesson]
Lesson 19: Comparing Data DistributionsUnit 8Lesson 15: Hollywood Part 2
Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape
Unit 8Lesson 16: Hollywood Part 3 (Print available)
Lesson 22: Presenting a Summary of a Statistical Project 
Lesson 3: Creating a Dot PlotUnit 8Lesson 2 Dot PlotsLesson 3 Minimum Wage [Free lesson]Lesson 4 Lots More Dots

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathDesmos Math 6–A1
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
 
Unit 4
Lesson 1: Mosaics [Free lesson]
Lesson 2: Peach Cobbler (Print available)
Lesson 2: Proportional RelationshipsUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
 
Unit 4
Lesson 3: Sticker Sizes
Lesson 3: Identifying Proportional and Non-Proportional Relationships in Tables
Lesson 4: Identifying Proportional and Non-Proportional Relationships in Tables
Unit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic B Unit Rate and the Constant of Proportionality 
Lesson 7: Unit Rate as the Constant of ProportionalityUnit 2
Lesson 2: Balloon Float
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two [Free lesson]
Lesson 13: Finding Equivalent Ratios Given the Total QuantityUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 14: Multi-Step Ratio Problems 
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 17: The Unit Rate as the Scale FactorUnit 1
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Practice Day 1 (Print available)
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 20: An Exercise in Creating a Scale Drawing
Lesson 21: An Exercise in Changing Scales
Lesson 22: An Exercise in Changing Scales
Unit 1
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Practice Day 2 (Print available)

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 6: The Distance Between Two Rational Numbers 
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10; Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 8: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Lesson 9: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 12: Division of IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions 
Lesson 14: Converting Rational Numbers to Decimals Using Long DivisionUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers 
Topic C Applying Operations with Rational Numbers to Expressions and Equations 
Lesson 17: Comparing Tape Diagram Solutions to Algebraic SolutionsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Lesson 19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Unit 5
Lesson 9 Expressions
Lesson 20: Investments—Performing Operations with Rational Numbers
Lesson 21: If-Then Moves with Integer Number Cards
Lesson 22: Solving Equations Using Algebra
Lesson 23: Solving Equations Using Algebra
Unit 6
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 6: Balancing Equations
Lesson 7: Keeping It True (Print available)
Lesson 12: Community Day (Print available)
 
Unit 5
Lesson 3: Bumpers

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 1: Generating Equivalent Expressions
Lesson 2: Generating Equivalent Expressions
Unit 5 Lesson 9: Expressions (Print available)Unit 6Lesson 9: Always-Equal MachinesLesson 11: Equation Roundtable (Print available)
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6 Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and ExpandingLesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)
Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions 
Lesson 6: Collecting Rational Number Like Terms 
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 7: Understanding EquationsUnit 6Lesson 2: Smudged ReceiptsLesson 5: Balancing MovesLesson 6: Balancing Equations
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)
Lesson 10: Angle Problems and Solving EquationsUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Lesson 11: Angle Problems and Solving Equations 
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 15: Graphing Solutions to InequalitiesUnit 6Lesson 13: I Saw the SignsPractice Day 2 (Print available)
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 17: The Area of a CircleUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 18: More Problems on Area and CircumferenceUnit 3Lesson 4: Perimeter ChallengesLesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. Square
Lesson 19: Unknown Area Problems on the Coordinate Plane
Lesson 20: Composite Area Problems
Unit 3Lesson 4: Perimeter ChallengesPractice Day 2 (Print available)
Lesson 21: Surface Area
Lesson 22: Surface Area
Lesson 23: The Volume of a Right Prism
Lesson 24: The Volume of a Right Prism
Unit 7Lesson 10: Simple PrismsLesson 11: More Complicated Prisms Lesson 12: Surface Area Strategies (Print Available)Lesson 13: Popcorn PossibilitiesPractice Day 2 (Print available)
Lesson 25: Volume and Surface Area
Lesson 26: Volume and Surface Area
Unit 7Lesson 13: Popcorn PossibilitiesPractice Day 2

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 2: Part of a Whole as a PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)
Lesson 3: Comparing Quantities with PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 4: Percent Increase and DecreaseUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day (Print available)
Topic C Scale Drawings 
Lesson 12: The Scale Factor as a Percent for a Scale Drawing 
Lesson 13: Changing ScalesUnit 1Lesson 1: Scaling Machines [Free lesson]Lesson 2: Scaling RobotsLesson 3: Make It ScaleLesson 4: Scale Factor ChallengesLesson 5: TilesLesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 1 (Print available)Practice Day 2 (Print available) Unit 3Lesson 1 Toothpicks
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available) Unit 3Lesson 1: Toothpicks
Lesson 15: Solving Area Problems Using Scale DrawingsUnit 1Lesson 5: Tiles
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Mixture Problems 
Lesson 18: Counting Problems 

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 2: Estimating Probabilities by Collecting Data
Lesson 3: Chance Experiments with Equally Likely Outcomes
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Unit 8Lesson 3: Mystery BagLesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: Chance Experiments with Outcomes That Are Not Equally LikelyUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 7: Calculating Probabilities of Compound EventsUnit 8Lesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)Practice Day 1 (Print available)
Topic B Estimating Probabilities 
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
Unit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Conducting a Simulation to Estimate the Probability of an EventUnit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 11: Conducting a Simulation to Estimate the Probability of an Event
Lesson 12: Applying Probability to Make Informed Decisions
Unit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Sampling VariabilityUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and Samples
Lesson 18: Sampling Variability and the Effect of Sample Size
Lesson 19: Understanding Variability When Estimating a Population Proportion
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 20: Estimating a Population Proportion 
Topic D Comparing Populations 
Lesson 21: Why Worry About Sampling Variability?Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7Lesson 1: PinwheelsLesson 2: Friendly AnglesLesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic B Constructing Triangles 
Lesson 5: Identical TrianglesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than One
Lesson 6: Drawing Geometric ShapesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)
Lesson 7: Drawing Parallelograms 
Lesson 8: Drawing TrianglesUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included
Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side Angle
Unit 7Lesson 8: Can You Draw It? (Print available)
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle 
Lesson 13: Checking for Identical Triangles
Lesson 14: Checking for Identical Triangles
Unit 7Lesson 6: Is It Enough?Lesson 7: More Than OnePractice Day 1
Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems 
Topic C Slicing Solids 
Lesson 16: Slicing a Right Rectangular Prism with a Plane
Lesson 17: Slicing a Right Rectangular Pyramid with a Plane
Lesson 18: Slicing on an Angle
Unit 7Lesson 9: Slicing Solids
Lesson 19: Understanding Three-Dimensional Figures 
Topic D Problems Involving Area and Surface Area 
Lesson 20: Real-World Area ProblemsUnit 3Lesson 5: Area Strategies
Lesson 21: Mathematical Area ProblemsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)
Lesson 22: Area Problems with Circular RegionsUnit 3Lesson 5: Area StrategiesLesson 8: Area Challenges [Free lesson]
Lesson 23: Surface Area
Lesson 24: Surface Area
Unit 7Lesson 12: Surface Area Strategies (Print available)Lesson 13: Popcorn Possibilities
Topic E Problems Involving Volume 
Lesson 25: Volume of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 13: Popcorn Possibilities
Lesson 26: Volume of Composite Three-Dimensional ObjectsUnit 7Lesson 11: More Complicated Prisms
Lesson 27: Real-World Volume ProblemsUnit 7Lesson 13: Popcorn Possibilities

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathDesmos Math 6–A1
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 Lesson 1 Circles [Free lesson]Lesson 2 Combining Exponents
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 Lesson 2 Combining ExponentsLesson 3 Power Pairs (Print available) [Free lesson]Lesson 4 Rewriting Powers
Lesson 4: Numbers Raised to the Zeroth Power
Lesson 5: Negative Exponents and the Laws of Exponents
Unit 7 Lesson 5 Zero and Negative ExponentsLesson 6 Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: Proofs of Laws of Exponents 
Topic B Magnitude and Scientific Notation 
Lesson 7: MagnitudeUnit 7 Lesson 7 Scales and Weights
Lesson 8: Estimating QuantitiesUnit 7 Lesson 7: Scales and WeightsLesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 11: Efficacy of Scientific NotationUnit 7 Lesson 13: Star Power
Lesson 12: Choice of Unit 
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using TechnologyUnit 7  Lesson 13: Star Power Practice Day 2 (Print available)

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Translating LinesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson] Unit 3Lesson 6: Translations
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Topic B Sequencing the Basic Rigid Motions 
Lesson 7: Sequencing Translations
Lesson 8: Sequencing Reflections and Translations
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]Lesson 13: Tessellate [Free lesson]Practice Day
Topic C Congruence and Angle Relationships 
Lesson 11: Definition of Congruence and Some Basic PropertiesUnit 1 Lesson 7: Are They the Same?Lesson 8: No Bending, No StretchingLesson 9: Are They Congruent?Practice Day
Lesson 12: Angles Associated with Parallel LinesUnit 1 Lesson 10: Transforming Angles  
Lesson 13: Angle Sum of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)
Lesson 14: More on the Angles of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Topic D: The Pythagorean Theorem 
Lesson 15: Informal Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 16: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco TruckPractice Day 2 (Print available)

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane (Print available)
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 6: Dilations on the Coordinate PlaneUnit 8Lesson 4: Dilations on a Plane (Print available)
Lesson 7: Informal Proofs of Properties of Dilations 
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 10: Informal Proof of AA Criterion for SimilarityUnit 2Lesson 7: Are Angles Enough?
Lesson 11: More About Similar TrianglesUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 12: Modeling Using SimilarityUnit 2Lesson 8: ShadowsLesson 9: Water SlideLesson 10: Points on a PlanePractice Day 
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 14: The Converse of the Pythagorean TheoremUnit 8 Lesson 9: Make It Right

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 1: Writing Equations Using Symbols 
Lesson 2: Linear and Nonlinear Expressions in x 
Lesson 3: Linear Equations in xUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 4: Solving a Linear EquationUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 5: Writing and Solving Linear EquationsUnit 3Lesson 1: Turtle Time Trials Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Solutions of a Linear EquationUnit 3Lesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: Classification of SolutionsUnit 4Lesson 7: All, Some, or None?
Lesson 8: Linear Equations in Disguise 
Lesson 9: An Application of Linear Equations 
Topic B Linear Equations in Two Variables and Their GraphsUnit 3Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 7: Water CoolerLesson 8: Landing PlanesLesson 9: Coin Capture
Lesson 11: Constant RateUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day  Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 12: Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: Translations Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: SolutionsLesson 11: Pennies and Quarters
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical LinesUnit 3 Lesson 9: Coin CapturePractice Day  [Free lesson]
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 16: The Computation of the Slope of a Non-Vertical LineUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 17: The Line Joining Two Distinct Points of the Graph 𝑦 = 𝑚x + 𝑏 Has Slope mUnit 3Lesson 7: Water Cooler
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3Lesson 5: Flags [Free lesson]Lesson 7: Water Cooler
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 21: Some Facts About Graphs of Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: TranslationsPractice Day 
Lesson 22: Constant Rates RevisitedUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: Posters
Lesson 23: The Defining Equation of a LineUnit 3Lesson 10: SolutionsLesson 11: Pennies and Quarters
Topic D Systems of Linear Equations and Their Solutions 
Lesson 24: Introduction to Simultaneous EquationsUnit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 26: Characterization of Parallel LinesUnit 3 Lesson 6: Translations
Lesson 27: Nature of Solutions of a System of Linear EquationsUnit 4  Lesson 9: On or Off the Line?
Lesson 28: Another Computational Method of Solving a Linear System 
Lesson 29: Word Problems 
Lesson 30: Conversion Between Celsius and Fahrenheit 
Topic E Pythagorean Theorem 
Lesson 31: System of Equations Leading to Pythagorean Triples 

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Formal Definition of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson] Lesson 3: Function or Not?
Lesson 3: Linear Functions and ProportionalityUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window Frames
Lesson 4: More Examples of FunctionsUnit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 5: Graphs of Functions and EquationsUnit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 7: Comparing Linear Functions and GraphsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Graphs of Simple Nonlinear Functions 
Topic B Volume 
Lesson 9: Examples of Functions from GeometryUnit 8Lesson 1: Tilted SquaresLesson 2: From Squares to Roots
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 11: Volume of a SphereUnit 5 Lesson 15: Spheres Practice Day 2 (Print available)

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 1: Modeling Linear RelationshipsUnit 5 Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking Cups
Lesson 3: Representations of a LineUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing Stories
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Practice Day 1 (Print available) [Free lesson]
Lesson 8: Informally Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 9: Determining the Equation of a Line Fit to Data 
Topic C Linear and Nonlinear Models 
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5 Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesUnit 6 Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 2 (Print available)
Lesson 12: Nonlinear Models in a Data Context 
Topic D Bivariate Categorical Data 
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way TableUnit 6 Lesson 9: Tasty Fruit
Lesson 14: Association Between Categorical VariablesUnit 6 Lesson 10: Finding Associations [Free lesson] Lesson 11: Federal Budgets Practice Day 3

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 2: Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 3: Existence and Uniqueness of Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Lesson 4: Simplifying Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 5: Solving Equations with Radicals 
Topic B Decimal Expansions of Numbers 
Lesson 6: Finite and Infinite Decimals
Lesson 7: Infinite Decimals
Lesson 8: The Long Division Algorithm
Lesson 9: Decimal Expansions of Fractions, Part 1
Lesson 10: Converting Repeating Decimals to Fractions
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 11: The Decimal Expansion of Some Irrational Numbers 
Lesson 12: Decimal Expansions of Fractions, Part 2 
Lesson 13: Comparing Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 14: Decimal Expansion of π 
Topic C The Pythagorean Theorem 
Lesson 15: Pythagorean Theorem, RevisitedUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 16: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 17: Distance on the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Topic D Applications of Radicals and Roots 
Lesson 19: Cones and Spheres 
Lesson 20: Truncated Cones 
Lesson 21: Volume of Composite Solids 
Lesson 22: Average Rate of Change 
Lesson 23: Nonlinear Motion 

Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Practice Day 1 (Print available)
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 12: Budget Vehicles (Print available)
Practice Day 2
Lesson 3: Multiply FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 4: Understand Division with FractionsUnit 4
Lesson 1: Cookie Cutter
Lesson 2: Making Connections (Print available)
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Practice Day (Print available)
Lesson 5: Divide Fractions by fractionsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 14: Planter planner (Print available)
Practice Day (Print available)
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 5 Garden Bricks (Print available)
Lesson 6 Fill the Gap [Free lesson]
Lesson 11 Classroom Comparisons
Lesson 7: Solve Problems with Rational NumbersLesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 10: Swap Meet (Print available)

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig it In [Free lesson]
Lesson 4 Sub-Zero
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Practice Day 1
Lesson 3: Absolute Values of Rational NumbersUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 4: Represent Rational Numbers on the Coordinate Plane 
Lesson 5: Find Distances on the Coordinate Plane
Lesson 6: Represent Polygons on the Coordinate Plane
Unit 7
Lesson 11: Polygon Maker

Chapter 3: Numeric and Algebraic Expressions

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It [Free lesson]
Lesson 3: Hanging Around
Lesson 13: Turtles All the Way
Lesson 2: Apply Properties of Equality
Lesson 3: Write and Solve Addition and Subtraction Equations
Lesson 4: Write and Solve Multiplication and Division Equations
Unit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Practice Day 1 (Print Available)
Lesson 5: Write and Solve Equations with Rational NumbersUnit 6
Lesson 4; Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 6: Tunnel Travel [Free lesson]
Lesson 7: Comparing Weights
Lesson 7: Solve InequalitiesUnit 7
Lesson 8: Shira’s Solutions
Lesson 8: Understand Dependent and Independent VariablesUnit 6
Lesson 13: Turtles All the Way
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 16: Subway Fares (Print available) [Free lesson]
Practice Day 2 (Print available)

Chapter 5: Understand and Use Ratio and Rate

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 2: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 13: Grocery Prices (Print available)
Lesson 3: Represent Percents Greater Than 100 or Less than 1 
Lesson 4: Estimate to Find Percent 
Lesson 5: Find the Percent of a Number
Lesson 6: Find the Whole Given a Part and the Percent
Unit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing?
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Practice Day 2 (Print Available)

Chapter 7: Solve Area, Surface Area, and Volume Problems

Chapter 8: Display, Describe, and Summarize data

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Math 6–A1
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Understand Rational NumbersUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 6: Multiply IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 8: Divide IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 10 Solve Problems with Rational NumbersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Chapter 2: Analyze and Use Proportional Relationships

Lesson 1: Connect Ratios, Rates, and Unit Rates 
Lesson 2: Determine Unit Rates with Ratios of Fractions 
Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Three Turtles
Practice Day (Print available)
Unit 3
Lesson 1 Circumference of a Circle
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 6: Apply Proportional Reasoning to Solve ProblemsUnit 2
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency

Chapter 3: Analyze and Solve Percent Problems

Chapter 4: Generate Equivalent Expressions

Chapter 5: Solve Problems Using Equations and Inequalities

Chapter 6: Use Sampling to Draw Inferences About Populations

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1 How Likely? (Print available) [Free lesson]
Lesson 2 Prob-bear-bilities [Free lesson]
Lesson 3 Mystery Bag
Lesson 2: Understand Theoretical Probability
Lesson 3: Understand Experimental Probability
Unit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 4: Use Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 7: Weather or Not
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 5: Determine Outcomes of Compound EventsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Find Probabilities of Compound Events
Lesson 7: Simulate Compound Events
Unit 8
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Practice Day 1 (Print Available)

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines [Free lesson] Lesson 2: Scaling Robots Lesson 3: Make It Scale Lesson 4: Scale Factor Challenges Lesson 5: Tiles Lesson 6: Introducing Scale Lesson 7: Will It Fit? [Free lesson] Lesson 8: Scaling States Lesson 9: Scaling Buildings Lesson 10: Room Redesign Practice Day 1 Practice Day 2   Unit 3 Lesson 1: Toothpicks   Unit 4 Lesson 3: Sticker Sizes
Lesson 2: Draw Geometric FiguresUnit 7
Lesson 6: Is It Enough?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It?
Practice Day 1
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures [Free lesson]
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around [Free lesson]
Lesson 4: Perimeter Challenges
Practice Day 1 (Print available) [Free lesson]
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Practice Day 2
Lesson 7: Describe Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8: Solve Problems Involving Surface AreaUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies
Lesson 13: Popcorn Possibilities
Lesson 9: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Rational Numbers as DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: Understand Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 3: Compare and Order Real Numbers 
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Solve Equations Using Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Practice Day 1 (Print available)
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Practice Day 1 (Print available)
Lesson 7: More Properties of Integer ExponentsUnit 7  
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 8: Use Powers of 10 to Estimate QuotientsUnit 7  
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scales [Free lesson]
Lesson 13: Star Power
Practice Day 2 (Print available)

Chapter 2: Analyze and Solve Linear Equations

Lesson 1: Combine Like Terms to Solve EquationsUnit 4
Lesson 2: Keep It Balanced
Lesson 2: Solve Equations with Variables on Both SidesUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 4: Equations with No Solutions or Infinitely Many SolutionsUnit 4
Lesson 7: All, Some, or None?
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 6: Connect proportional Relationships and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Plane
Practice Day 
 
Unit 3
Lesson 2: Water Tank
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Lesson 7: Analyze Linear Equations: y = mxUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Analyze Linear Equations: y = mx + bUnit 3  
Lesson 6: Translations
Lesson 7: Water Cooler
Practice Day 

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Compare Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 4: Construct Functions to Model Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 6: Graphing Stories
Lesson 6: Sketch Functions from Verbal DescriptionsUnit 5  
Lesson 6: Graphing Stories

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 7: Scatter Plot City
Lesson 3: Use Linear Models to Make PredictionsUnit 6  
Lesson 6: Interpreting Slopes
Lesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 4: Interpret Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets
Practice Day 3

Chapter 5: Analyze and Solve Systems of Linear Equations

Chapter 6: Congruence and Similarity

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 2: Understand the Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Lesson 4: Find Distance in the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 1: Find Surface Area of Three-Dimensional Figures 
Lesson 2: Find Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 4: Find Volume of SpheresUnit 5
Lesson 15: Spheres
Practice Day 2 (Print available)

S1-09: Supporting K–8 science students in the digital world: Ricky Mason

Podcast cover for "Science Connections," Season 1, Episode 9, featuring "Ricky Mason" discussing K–8 science education. Includes a globe illustration and decorative science-themed elements.

In this episode, Eric sits down with Ricky Mason, chief executive officer of BrainSTEM. Ricky shares his passion for inspiring students into science careers, and his path from an engineering career with organizations like the Department of Defense, National Aeronautics and Space Administration, and the Central Intelligence Agency to starting BrainSTEM, an education program that develops creative digital tools to enable all teachers and students to dive deeper into STEM content. Ricky and Eric talk about representation in science classrooms and the importance of embedding fun within K–8 science content! Explore more from Science Connections by visiting our main page.

Download Transcript

Ricky Mason (00:00):

I feel like comfort is where dreams go to die. And I’m still dreaming every night. So I’ll wake up, chasing them.

Eric Cross (00:08):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Ricky Mason. Ricky is an engineer whose career included lead roles at the Department of Defense, NASA, and the CIA. Ricky transitioned to education as an adjunct faculty at the University of Kentucky. And while there, he founded BrainSTEM, an edtech company that developed a 3D virtual reality metaverse for STEM education. Today, BrainSTEM serves public school districts, private schools, and nonprofits. And in this episode, we discuss what led Ricky to creating BrainSTEM Metaversity, and how he’s using the metaverse to transform STEM learning for students. And now please enjoy my conversation with Ricky Mason. How did you, so like maybe going back doing your origin story, maybe you can talk about it, but brother, you don’t sleep. Talk about keep making moves, your hashtag, I mean, I was looking at your LinkedIn profiles, looking at your details. You get after it. I was getting tired just reading it. I was like John Hopkins, electrical engineering, real estate, starting companies. You must have that gene where it’s like four hours of sleep and then you’re like, ready to go.

Ricky Mason (01:19):

Yeah, man. My mom told me if I didn’t stay busy, then I’m in trouble. So when I was about 14, she told me that. I said, well, Mama, I guess I’m gonna stay busy then. And yeah, man, that’s just been my life. I feel like if I don’t keep making moves, then I’m in trouble. So, feel like comfort is where dreams go to die and I’m still dreaming every night. So I’ll wake up chasing them.

Eric Cross (01:44):

I feel like a kindred spirit with you. So, were you always interested in STEM like, was there something like a moment or a year where you remember you were like, this is my jam. This is what I’m gonna get into.

Ricky Mason (01:57):

Yeah, man. When it really clicked for me was in the fifth grade. I was at a school assembly and an IBM engineer came in and he brought a robot and he programmed it with punch cards right on the stage. And I got the opportunity to come up andyou know, put one of the punch cards in the robot to program it. And I asked him, I’m like, what is your job? He said, I’m a robotics engineer. And I went home right after that assembly and I said, Mom, that’s what I wanna do, become a robotics engineer. And my mom would take me to the libraries. Well, I felt like I was getting outta bible study on Wednesdays by going to the library. So I went there and I started researching robots.

Ricky Mason (02:39):

And at the time the robots that were popular were all being sent to space. And it was the spiritless. It was being sent to Mars. And I said, Mom, well, I guess I gotta become an astronaut if I’m gonna be a robotics engineer. And that’s kind of what set me out on that dream. And my mom started trying to find outlets for me to get involved in STEM, but it was really tough to find those outlets, you know, especially in that fifth to eighth grade range here in Kentucky. So that was kind of where it started for me man, when I knew that yeah, engineering is what I wanna do.

Eric Cross (03:14):

What does an electrical engineer do? I imagine there’s different types of specialties, but like, was there something that you specialize in that you focused on or was it, is it just kind of like a generalist field?

Ricky Mason (03:23):

Yeah, so I would say, yeah, man, it’s a huge field. So you could be doing anything from, you know, power, like power coming into your house. So those large power systems all the way down to nanotechnology and microchips. I like to tell people I’m a real full stack engineer, so my wheelhouse is kind of from the PCD, the little green computer chips, all the way to the cloud. Over my career, I’ve had some pretty cool jobs. One of those things was I was a test engineer for the army. So I got to test weapons up at Aberdeen Proving Ground for the Army. So I got to drive those weapons and test them before they went to theater there. After that,I worked at United Launch Alliance down at Cape Canaveral where I launched five rockets.

Ricky Mason (04:07):

So I was a part of the electrical ground systems team there where we were responsible for all of the electrical systems on the rocket while it was on the pad. Somonitoring the temperature of the rocket, the fuel, the entire system for safety while it was on that pad. And then finally I worked at the CIA as a computer engineer building data centers and as a data center architect for some of our remote systems and virtualizing our systems. So kind of had a broad spectrum of things there. And then finally coming back to the University of Kentucky as a research engineer and faculty. I developed drone technology for monitoring crops. So flying drones over crops with LIDAR, just like self-driving cars with high-definition cameras to pull in data about those crops, to help farmers determine about pesticides fertilizers, and the overall health of their crops from a remote location.

Eric Cross (05:10):

It’s so neat to hear you talk about it and to see how this is all built up to what you do now with BrainSTEM. How would you explain what BrainSTEM is? I know that’s your, that’s kind of your baby right now and what you’ve been working on a few years.

Ricky Mason (05:23):

Yeah, man, we started BrainSTEM in 2019 officially, but I would say BrainSTEM has been almost 10 years in coming. While I was in undergrad, I played football at the University of Kentucky. But I got hurt going into my sophomore year and that kind of shattered my dreams of football. And that’s when I really got back into engineering. One of my professors asked me to come to a robotics competition and I saw these third graders and sixth graders programming robots. And I’m like, oh my God, they’re programming robots! And I had no idea how to code or what to do with these things. And where was this a when I was a kid? And so I immediately bought one of those robots and taught myself how to program it <laugh> and then we started a robotics team in Lexington,there at a church.

Ricky Mason (06:10):

And we got a sponsorship from Lexmark to start that team. And that was kind of my first leap into STEM and teaching STEM and creating programs for students in STEM. I did that in undergrad and like I said, fast forward 10 years later, I’m teaching at the University of Kentucky and we’re struggling to recruit STEM students. Why aren’t students going into STEM? I hear too many adults tell me, oh man, I wish I would’ve done engineering, or I started out in engineering, but I left engineering or I wish I could go back to school for engineering or learn to code. And I’m like, I asked them like, why didn’t you do this? What happened? And often it’s like, it was the math. It was, oh, I didn’t get into it until I was in college. And I’m like, well, that’s the key.

Ricky Mason (06:52):

I knew I wanted to do this in the fifth grade. And I started with a plan in the fifth grade to achieve these goals and dreams. And I started doing that research and realizing that the same problem existed that I had. There was no outlet for kids to get involved in STEM, and so many kids have an affinity for STEM an early age. So we started BrainSTEM to provide access to STEM education and exposure STEM careers, STEM professionals, and just to STEM fields as a whole, because too often kids may know about the term, engineer, or the term, scientists, but they don’t really know what those people do or have a strong connection with the field or have any hands-on projects that they kind of done around those things or met anyone like me.

Ricky Mason (07:42):

I didn’t meet an engineer until I was in college. So that has really been impactful for some of the students that we’ve been able to touch. I had a family reach out to me. They moved to Lexington from California and they were like, man, I really want my ninth-grade son to get involved in engineering. So we started a weekend program with that one student and it went amazing. Like we competed in science fairs, we applied for different college programs and things like that. So it became an entire like mentorship program. And I’m proud to say that a year ago, he actually graduated with his bachelor’s in electrical engineering from your side of town, UCSB. It was just awesome to actually see this come full circle. And that’s kind of one of the first things that we did before we actually formalized as BrainSTEM University.

Eric Cross (08:34):

What will be like your elevator pitch for a teacher? If you were gonna say, this is what BrainSTEM does. I have the luxury of going through it on the site, but since we’re on a podcast, how would you kind of pitch it to people letting them know, like what, what does it do? Who does it serve?

Ricky Mason (08:47):

Yeah. So BrainSTEM provides STEM curriculum and STEM magnets for schools and nonprofits looking to increase access to STEM for K through 12 students. We also have launched our BrainSTEM Metaversity, a metaverse product for teachers to take their 2D Google classroom and convert it into a 3D metaverse classroom where students can collaborate during a 3D class. So all of your students show up as their avatars that they can select from our inventory of 150 avatars, and enjoy class in a 3D gameified Minecraft like World.

Eric Cross (09:26):

So I made my avatar by the way. It’s kind of tight, I have to say, it’s kind of tight. Hey, I’m gonna share. So those of you in the podcasts I’ll share it so you can see it. You’re not gonna be able to see it right now, but since I have the man himself I gotta share it with him just so I can get a reaction. So can you see that?

Ricky Mason (09:43):

Yeah. <laugh> That’s so good.

Eric Cross (09:44):

I feel like I wanna look like him though. I want him in real life. Like I want be able to switch to looking like my avatar

Ricky Mason (09:52):

<Laugh>

Eric Cross (09:54):

That was the first thing that I jumped on, when I went on your site, was making the avatar and I had so much fun doing it. I actually took longer than I probably wanna admit cause I was like customizing everything

Ricky Mason (10:03):

Yeah, man. It’s so fun. And that’s exactly what, you know, when you can show up as the person you want, it changes your whole being. I’ve seen kids that are quiet in class. They show up as their avatar and they’re talkative, they’re asking questions, they’re moving around the room, interacting with other kids. I feel like it’s almost like a superpower just to put your avatar on.

Eric Cross (10:25):

So what is something that a teacher could have their students go and learn or do if they, if they signed up,

Ricky Mason (10:31):

Let’s kick it off. So how we started with the metaverses, was teaching coding. So our first class was Minecraft and Python coding in the metaverse. So students showed up in the metaverse with our virtual instructor, that instructor led a lecture in the metaverse and then those students could collaborate on their Python games. So, they created and built the game in Python. We shared those games in the metaverse and we have our leaderboards that are in the metaverse, as they’re completing these challenges, including these games, then sharing them back in the metaverse with other students and getting that feedback on their game. So we’ve seen huge excitement from students when I can come back in and see my friend’s work. Like too often, students don’t get to see their work and that’s motivation to do better when I’m like, Jim’s gonna see my work. It’s amazing to see that motivation when students are sharing their work with other kids and not just their parent or just them and the teacher or seeing their grades. It’s been really cool to see.

Eric Cross (11:33):

You have that genuine audience too. Like that real-time feedback. And then like an authentic audience for students that makes everything seem, it takes it up a notch.

Ricky Mason (11:42):

Yeah, man. And then as we have built on this platform, so like you said with that avatar, so think if you created a really cool looking avatar and other students wanted to be that avatar, we have a way of sharing that avatar back into the world and in the inventory so that other students could then be your avatar. Or, if you create a world, we could then share that world back into the inventory, so the teacher could have class in a world that you created.

Eric Cross (12:07):

They’re creating content, not just consuming it. They’re actually creating content that could be shared across like grade levels or students.

Ricky Mason (12:14):

Well, we’re gonna say right now it’s just within your classroom. Eventually yes, we want students to be able to share that across school districts. At least we think that data will be probably limited to those kinds of realms as far as schools go. But you’ll be able to share this across sixth grade. We’ll be able to see what everyone in the sixth grade is doing in their STEM class or their game development class or their history class, per se, even if they’re giving back a presentation or what we have here in JCPS is backpack skills of success, where students are presenting on things that they’re learning that relate back to core competencies that the district is focused on. And I think that sharing those in the metaverse and doing those in the 3D world will be an awesome experience for students.

Eric Cross (12:56):

Are you seeing anything else as far as those skills that we see that are needed in coding? Is there something that the VR adds that was distinct from maybe just a kid with a Chromebook in his class that it’s just him in isolation doing the coding? Was there any like aha moments or surprises when they’re in the VR world doing this?

Ricky Mason (13:13):

I think the biggest thing is we could actually show them real examples of code working in other ways. Sofor example, if we’re working through loops, we can show them something looping. We can relate these functions to real-world things happening in the VR world so that they can see and better relate the actual concept with visuals, if that makes sense. So, you’re in loop Allen the whole time you’re learning about loops. You’re immersed in that kind of world. What we’ve seen is students really start to, you know, they it pick up and it clicks a lot faster because some of these concepts are so abstract for students to understand, when we can relate them to things in that world that they see that are in front of them, that they can grasp before we go to okay, type in “while” “”parentheses” <laugh> they can thenrelate that and pick up on those clues a lot better after they’ve seen those things in the world.

Eric Cross (14:09):

So they can actually visualize it in the metaverse. Whereas outside of it, it’s more just, just text-based coding and they’re not isolated. Like the first thing I’m thinking about is how like, with my own students, when they’re learning Sratch or Python, it’s not easy to share back and forth because they all are on individual accounts and they’d have to go on a different computer, or we’d have to find some way to publish it. And then all the kids would have to access it. But it sounds like in the metaversity classrooms, it’s easy for students in that same class to see each other’s work. Am I getting that right?

Ricky Mason (14:37):

Yeah. So most of our classrooms are limited to 24 students and in some of our breakout classrooms, we limit them to about eight students. Everybody can share their screen, so students can share their screen in the metaverse. They can share their video in the metaverse. They can share documents in the metaverse. They can share their, like I said, their code or anything that they want to share with other students. They can kind of do that. So it’s been a really cool product, I think, for students to almost find independence to work within a group, in an online setting. As they’ve been working through these problems online and remote it’s been really cool to see how they use the metaverse and break out. Even in a class, they can go off into a section because it’s all spacial. If you walk away, I can’t hear your conversation. So they can go into a little section within a metaverse class and have their own breakout. And a teacher can walk over to them. Okay. You guys are working over here. Let me walk to my next group. Just like in class. So it’s been really cool to see those students use the metaverse like that.

Eric Cross (15:41):

Just listening to you talk about this. One of the exciting things about emerging technologies or taking what the private sector does, and someone with a mind like yourself, and go, how do I use this for education? Like, that’s something that like excites me and you’ve run with it. But I just thought about, you’re doing an hour of code, you’ve created this metaverse, and you can bring in somebody, a professional into the metaverse, but they’re in, you know, the Bay area, but they could be a software engineer for Tesla or Google or anybody. Could they move around the metaverse and take a look at different students’ work and interact in that way.

Ricky Mason (16:17):

Yeah, man, we get in there. We make metaverse selfies. I drop Lambos in the metaverse, we take picture with Lambos. We have scavenger hunts in the metaverse. It’s a really awesome experience. And that’s one of the big things I think that is so powerful, is like you said, we could have that engineer, that celebrity, we could have Travis Scott, you know, in the world meeting thousands of kids motivating them because they met their STEM goals. They met their, you know, their testing school goals or whatever. These are things that kids really care about. If I get the Travis Scott avatar or the Elon Musk avatar, because I completed the Elon Musk rocket challenge, like that’s huge for me to show up in class as that avatar, like it’s just like Fortnite and it’s bringing all of those mechanics into the classroom.

Eric Cross (17:07):

When I hear you talk about the metaverse and I hear you talk about the potential of where you want to go with it, I think about my own students, and I think about, how they would really have a genuine interest and desire to want to do this and probably be doing it when they don’t have to, like at home at night wanting to go back into it and interact. And, you’re also building this virtual community. I mean, are you seeing that like, cause I’m hearing that?

Ricky Mason (17:28):

Yeah, man, building that community is huge. And I often tell people all the time, I want the STEM community to be just like the basketball community, the football community. I want students to have that camaraderie built around them for learning STEM and participating in STEM activities and competitions. Because when you see students out there at a robotics, they have the same zeal, the same, you know, everything that you find at a football competition. So we just have to get behind them and back those events with the same enthusiasm that we back sports. And that’s the environment that I want to create for STEM students and for that STEM community, because I longed for that community when I was in school. And like I said, I had it in football, but I wanted both. I wanted the best of both worlds. I wanted my robotics guys and my football guys to show up together here at the competition and have a good time.

Eric Cross (18:23):

You’re absolutely right. Like robotics STEM, these things, community helps fuel like people’s interest and working together. And it brings people from the outside who are seeking that community. Like, hey, my friends are doing this, I wanna kind of check it out. That’s how we recruit a wider swath of our population into it. So it’s not this kind of very narrow channel of folks who are going into STEM.

Ricky Mason (18:45):

If you can’t find that community. I mean for me, I felt like I was the only one playing football who was interested in robotics. So I never told anybody because I didn’t feel like that related to anybody within my vicinity. So I kept that to myself and that’s the biggest thing. I think if we get these kids just talking more about their interests, because a lot of them are interested in robotics and space and these STEM topics, but they don’t have anyone that’s really nudging them or asking them or piquing their interest in those spaces and saying, hey man, it’s okay to, you know, learn about robots. It’s okay to geek out on space. <Laugh> So that’s been my goal and that’s kind of why I felt like this was the time in my career for me to kind of do this, be a face for STEM education and inspire kids to chase their goals and dreams. Over my career, I’ve had some really cool jobs, but I felt like I could keep doing cool jobs, but I’m like at the right age to still connect with those students and inspire them to chase their dreams. And that’s why I feel like right now, man, it’s just an opportune time to get these students involved in STEM.

Eric Cross (20:01):

We don’t get that. Oftentimes, when we’re solely doing the cool job or simply in the private sector, we don’t get those experiences as much as we do when we’re able to actually serve our community or students or take our passion, our skill set, and use it to serve another person. I hear that like, as you describe what you’re doing now is like, there’s something beyond just, you know, the using your skills and doing cool stuff, but there’s something I hear. That’s helping people and actually doing something you believe in that resonates deeply in you. And I can hear it as you talk about it.

Ricky Mason (20:30):

It’s been just amazing to actually chart out that journey. Like I said, and like tell kids, like, no man, I’m from right up the block from you, cause I mean, I’m building this back at home in my hometown. And that’s the reason why I kind of came back to kind of do that in my hometown, because I really want to, you know, relate to those students and inspire, you know, students here. Nobody thinks about technology coming out of Kentucky and that’s been a gift and a curse, I guess, with launching BrainSTEM in Kentucky. When I first started, I said, we’re a STEM education company, people are asking me what is STEM? So, that was where we started out with this in 2019, all the way to, you know, hey, in 2020, we’re gonna launch a metaverse. A metaverse! What is that? It’s been amazing to try to change the minds of not only Kentuckians about STEM and the importance of STEM, but the world that a metaverse company is coming outta Kentucky. <Laugh>

Eric Cross (21:31):

The work that you’re doing and, it exists beyond you and you probably know this, but as a Black science educator out here in San Diego … We don’t see people who look like all of us in this work often, and I saw that you had created something, a network group, network and chill. And that was one of the things, we had touched on community, but I thought that that was so huge because we need each other.

Ricky Mason (21:55):

I feel like that was the biggest thing for us in engineering. Like I showed up to my first internship and I’m like, I mean, my boss was cool. Everything else was cool, but I just didn’t feel like, hey, this is a community for me. And I almost changed my major because of that. But I’m glad that I didn’t, it’s huge to have more of us represented in, in these spaces.

Eric Cross (22:16):

And you know, in engineering, especially when we look at the disproportionate, you know, men versus women. Like it’s not, you know, it’s not just culture, but it’s, you know, gender, all of these different things. And if we’re gonna change it, I think a program like yours that gets exposure to all kids and then giving them choice. What advice would you give to students? Or what advice I should say, do you give to students now? When you see like your younger self in the different kind of K12 grades who are thinking about their futures or they’re thinking about STEM, what do you say to them?

Ricky Mason (22:46):

So my biggest advice, man is start now. Whatever that big thing is, that big dream is that you have, what is that now? You’re thinking about planes. You’re thinking about robots. You’re thinking about RC cars, whatever that is. Let’s start now. Let’s get your hands on an RC car. Let’s take it apart. Let’s start coding. Let’s start thinking about those problems now. But the biggest thing is, is getting kids used to solving tough problems. Typically, most students that have an affinity for, you know, STEM — and you just know that that kid’s gonna go into, STEM — they’re problem solvers. They’re typically looking and seeking those tough problems and seeking opportunities to learn. That’s where I feel like it’s parents’ jobs to provide that environment to foster, that zeal. A five-year-old kid, we started our STEM program with them at the beginning of this month.

Ricky Mason (23:39):

The first day I came in after I told him I was a rocket scientist. And now he’s like, well, I wanna be a pilot. I said, if you pay attention to this class, we’re gonna get you started on your way to being a pilot. And he knows all the parts of a rocket and he knows a rocket needs an oxidizer. And he knows the fuselage, the wings, the wing flaps. He knows all the different parts of the plane and how the forces, the drag, the lift, the weight, he knows how those are working cause we talked about those in class and he has so much more confidence and it came all to fruition when a kid said, wow, I thought it was gonna be really hard to be a robotics engineer. And I’m like, no, that’s not gonna be that hard. That is exactly what we set out to do when we started BrainSTEM, was to break down those barriers and those walls and build that confidence and say, look man, you can do this. It’s easy.

Eric Cross (24:26):

Society doesn’t help much either because one of our terms, right, if something’s really hard, or if something’s not hard, we say it’s not rocket science. That implies that rocket science is really hard and inaccessible. If kids would hear that it kind of instills in their brain, okay. It’s really hard, it’s probably too hard for me. To that point to parents, it sounds like a lot of just exposure, like giving students the opportunity to be able to be exposed to these things and letting them create wonder from it.

Ricky Mason (24:51):

Yeah, man. I often tell parents we’re gonna set kids up to go pro no matter what,

Eric Cross (24:56):

And those skill sets transfer, whether they decide to go into coding or they decide to manage a bank, you’re still gonna be dealing with people. You’re still gonna be problem-solving. You’re still gonna have to come up with creative solutions to things. It sounds like through a program like this, they learn those skills early.

Ricky Mason (25:12):

Yes. And I think that one thing that parents don’t think about … We talk about all the STEM and we want smart kids, but we need those soft skills also within STEM. So those competitions, getting them involved in those communities with STEM students is really huge in presenting their ideas because oftentimes, you know, our STEM guys, we’re in a lab working and that’s where we love and that’s where we wanna be because we haven’t, you know, been prepared to talk and present our ideas. So I think that’s a huge part of what we have to teach our STEM students. And we do that by providing that community and those opportunities for them to, you know, do that.

Eric Cross (25:47):

Thinking about where you are now, looking back on your K-12 education, were there any teachers that stood out to you or that inspired you as I even just say that, can you think of a particular teacher or one or two?

Ricky Mason (26:00):

When I think about my teachers, my teachers really taught me to solve those tough problems and those subjects that you don’t kinda like <laugh>, cause I was always a great student, but my teachers helped me to focus on those subjects that I didn’t so much, you know, enjoy. So I enjoyed math and science, but English social studies, like why do I have to be here? I had two teachers during my high school career that really supported me in that regard, and helping me to be the best student all aroundfrom like I said, STEM to English and social studies, and making me realize that I have to be a well-rounded student if I’m gonna be truly successful. As far as engineering, man, I would say one guy, my teacher, Nick Bazar up at John Hopkins. During my master’s there, I had a really cool project. I got to do data forensics on a real live murder case. <Laugh> That was really inspiring because I’m like, wow, this is real life where my coding skills are being used in a jury trial <laugh>. And so that was a really cool experience to partner with my professor to kind of do that. I mean, that was just mind blowing that I got to help with that and that, I mean, he was using his programming skills to help solve a murder case.

Eric Cross (27:22):

What’s the best way for people to connect with you and follow your journey? And if a teacher’s interested and they’re listening to this and they’re hearing, okay, this metaverse coding thing sounds awesome, I want to get involved, I wanna know more, where can people go? What steps should they take to be able to get connected to you and what you’re doing?

Ricky Mason (27:40):

Yeah. So you can check us out at brainSTEMu.com, that’s brainSTEM, the letter “u” dot com and on all social medias, we’re BrainSTEMu or BrainSTEM University. Teachers, right now, we are doing our free course for teachers. So sign up at brainstemu.com. You can sign up for your class to get into a free metaverse experience, just so you can kind of check it out and get your class into the metaverse and see how your students like the metaverse, how you like teaching in the metaverse and convert one of your 2D lessons from Google classroom into a metaverse classroom. For me, I’m Ricky Mason, 5 0 2 on all social media platforms. So you can just type that in Ricky Mason502 and get with me there.

Eric Cross (28:28):

Nice. Well Ricky, I wanna thank you for sharing your story and creating BrainSTEM. And then for, I know you’re a man of tremendous talents and skills and accomplishments, and you’re focusing all that on not only being back in your community, but also creating something for younger versions of you and opening up opportunities that they might not otherwise have, as you said, folks are like, what is STEM? And that is exactly where we need those seeds planted. So thank you for doing that.

Ricky Mason (28:55):

Oh man, this is awesome. I appreciate you, man for hosting this podcast and providing this platform and sharing the message of, you know, educators and people in the space.

Eric Cross (29:07):

Thanks so much for joining me and Ricky today. Make sure to support Science Connections by subscribing wherever you listen to podcasts. And you could hear more from Ricky in our Facebook group, Science Connections the community, where you can check out all the exclusive content. Until next time.

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What Ricky Mason says about science

“We just have to get behind [students] and back them with the same enthusiasm that we back sports…because I longed for that community when I was in school.”

– Ricky Mason

CEO, BrainSTEM

Meet the guest

Ricky Mason is the dynamic CEO and founder of BrainSTEM, an ed-tech company that developed a metaverse for education. His corporate career included lead engineer roles at the DoD, NASA, and CIA. Ricky transitioned to education as adjunct faculty at the University of Kentucky. While there, he started BrainSTEM to bring innovative technology and an inspirational curriculum to STEM education. Today, BrainSTEM serves public school districts, private schools, and nonprofits.

Follow Ricky on all social media @rickymason502

Portrait of a smiling man with a beard and short hair, wearing a white shirt, against a gray background.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Customer Privacy Policy

Last Modified: January 23, 2026 | Update History

Most recent update: This Privacy Policy has been updated to address additional rights for individuals in the European Union/UK.

We advise you to read this Privacy Policy in its entirety, including the jurisdiction-specific provisions in the appendix. Click here to review Our U.S. Notice At Collection.

Customer Privacy Policy: K–12 Schools

Who We Are

Amplify Education, Inc. (“Amplify”) is leading the way in next-generation curriculum and assessment. Amplify’s programs provide teachers with powerful tools that help them understand and respond to the needs of each student and use data in a way that is safe, secure, and effective.

Our Products and Services

Amplify’s products support classroom instruction and learning and include Amplify CKLA, Amplify ELA, Amplify Caminos, Amplify Science, Amplify Desmos Math, Boost Reading, Boost Math, mCLASS, Mathigon, associated professional development and tutoring services, and services at classroom.amplify.com (for creating and assigning activities) and student.amplify.com (for use of the activities or curricula as directed by an instructor), and any other product or service that links to this Privacy Policy (together, the “Products”).

Our Approach to Student Data Privacy 

In the course of providing the Products to Schools and their Authorized School Users, Amplify collects, receives, generates, or has access to Student Data (defined below). We consider Student Data to be confidential and we collect and use Student Data solely for educational purposes in connection with providing our Products to, or on behalf of the School as described in this Privacy Policy and our Agreements (defined below). We work to maintain the security and confidentiality of Student Data that we collect or store, and we enable Schools to control the use, access, sharing, and retention of Student Data.

Our Products are geared towards K–12 students (“Students”), and the educators, agents and staff members who use the Products as authorized by their School (“Educators”). Information that directly relates to an identifiable Student (“Student Data”) is owned and controlled by the School, and Amplify receives Student Data as a “school official” under Section 99.31 of the Family Educational Rights and Privacy Act of 1974 (“FERPA”) for the purpose of providing the Products hereunder. In addition, we rely on the School acknowledging that it is acting as the parent’s agent and consenting on the parent’s behalf to process personal information of Students under the age of 13 (“Child Users”) in accordance with the Children’s Online Privacy Protection Act (“COPPA”).

Our collection and use of Student Data is governed by our Agreements with Schools, including this Privacy Policy (“Privacy Policy”), and applicable laws which may include FERPA, COPPA, the Protection of Pupil Rights Amendment (“PPRA”), as well as other applicable federal, state, and local privacy laws and regulations (“Applicable Laws”). As noted above, with respect to FERPA, Amplify receives Student Data as a “school official” under Section 99.31 of FERPA for the purpose of providing its Products, and such Student Data is owned and controlled by the School.

Schools may provide authorization in two ways:

  1. by the School agreeing to our Customer Terms and Conditions located at amplify.com/customer-terms or another written agreement between Amplify and the School, as applicable; or
  2. by an Educator agreeing to the Acceptable Use Policy located at amplify.com/acceptable-use-policy/ (“AUP”) on behalf of the School as outlined in the AUP.

In each case, we collect Student Data and provide these Products solely for the use and benefit of the School and for no other commercial purpose. We require all Schools to review this Privacy Policy, available at amplify.com/customer-privacy, and to make a copy of the Privacy Policy available to the parents or guardians of Child Users.

We also provide limited opportunities for individual users to sign up for an account for use of our Products at-home or otherwise outside of the authorization of a School (“Home Users”). See the Appendix–Supplemental Disclosures for additional information that applies to our Home Users.

What This Privacy Policy Covers 

This Customer Privacy Policy (“Privacy Policy”) describes how Amplify collects, uses, and discloses personal information through the provision of Products.

For purposes of this Privacy Policy, “you” and “your” means Authorized Users (defined below).

This Privacy Policy does not apply to Amplify’s handling of:

  • information collected from users of Amplify’s company website, which is governed by our Website Privacy Policy.
  • job applicant data that we process in accordance with our applicant privacy notice.

There may be different contractual terms or privacy policies in place with some Schools. Such other terms or policies supersede this Privacy Policy for information collected or released under those terms. If you have any questions as to which legal agreement or privacy policy controls the collection and use of your personal information, please contact us using the information provided below. Unless expressly superseded, this Privacy Policy is incorporated into and is subject to the Agreement that governs your use of the Products.

Our Role

Amplify as a processor/service provider: Our School customers are the controllers of Student Data (as well as certain other Educator personal information to the extent required by law or Amplify’s agreement with the School) (together “School Data”).

Amplify acts as a processor/service provider for our School customers with respect to School Data, which means when we use School Data, we do so solely on the instruction of the School. School Data is subject to the School’s privacy policies; therefore, you will need to contact the School directly if you have any questions or would like to exercise your rights with respect to School Data.

Amplify as a controller: We are the controller of all other personal information we collect from non-Student Authorized Users (“Amplify Data”) and can be reached by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

Policy

1. Definitions

Capitalized terms not defined in this section or elsewhere in this Privacy Policy will have the meaning set forth by Applicable Laws.

Agreement” means the underlying contractual agreement between Amplify and the School.

Authorized Users” means all users of our Products, including Authorized School Users, parents and legal guardians, and Home Users.

Authorized School Users” means Students and Educators.

Local Education Authority” means a local education agency or authority, school district, school network, independent school, or other regional education system.

Non-Student Data” means information that is linked or linkable to Authorized Users who are not Students.

School” means the Local Education Authority or State Agency.

State Agency” means the educational agency primarily responsible for the supervision of public elementary and secondary schools in any of the 50 states, the Commonwealth of Puerto Rico, the District of Columbia, or other territories and possessions of the United States, as well as a national or regional ministry or department of education in other countries, as applicable.

2. What personal information do we collect?

When you access or use our Products, you may choose to provide us with personal information, including Student Data. This information may be provided to us directly (e.g. when an account is created or through communications with us) or through your interactions with our Products.

Student Data. Below is a list of the categories of Student Data that may be collected by Amplify or its Products, either directly or through the Authorized School User’s use of the various features and configurations of the Products:

  • Identifier and Enrollment Data, such as name, email, school / state ID number, username and password, grade level, homeroom, courses, teacher names.
    • Why? Most of Amplify’s Products require some basic information about who is in a classroom and who teaches the class—Student or teacher Identifier and Enrollment data. This information is provided to Amplify by the School, either directly from the School’s student information system or via a third party with whom the School contracts to provide that information.
  • Demographic Data, such as date of birth, socioeconomic status, race, national origin, and preferred or primary language.
    • Why? To support school instructional and reporting requirements, Amplify’s Products allow Schools to view reports and analyze data using Demographic Data. Generally, Demographic Data is provided on a voluntary basis by the School. For example, a School may wish to analyze Student literacy assessment results based on English Language Learner status to better tailor classroom instruction, and in that case, the School may provide Demographic Data to enable that reporting.
  • School Records, such as grades, attendance, assessment results, and whether an Individualized Education Plan (IEP or local equivalent) is in place.
    • Why? Some of our Products support grading assignments and administering formative, diagnostic, and curriculum-based assessments. Teachers use that information to support Students’ progress in the program or help with instructional decisions. We do not collect specific details from an IEP, nor do we collect protected health information or other sensitive information.
  • Schoolwork and Student Generated Content, which includes any information contained in Student assignments and assessments, including information in response to instructional activities and participation in collaborative or interactive features of our Products, such as Student responses to academic questions and Student-written essays, as well as images, video, and audio recordings.
    • Why? As part of the digital learning experience, some of our Products may enable Students to write text and create and upload images, video, and audio recordings. For example, in Amplify ELA, students may write essays or submit short-form responses in our platform as part of a lesson on literature. As another example, in Boost Reading, student interactions with reading skills games are recorded to keep track of the student’s progress to level up in the program and to provide visibility to teachers on how students are mastering the skills.
  • Teacher Comments and Feedback, such as scores, written comments, or other feedback that Educators may provide about Student responses or student course performance.
    • Why? To enable teachers to track the performance and provide feedback to their students.
  • Non-Student Data. We may collect the following types of personal information from all other Authorized Users:
    • Contact Information, such as name and email address, as well as grade level taught, school name and school location, whether you are an Educator or Home User that creates an account or uses our Products or communicates with us.
    • Account Information, such as user login and password, for account creation and access purposes.
    • Survey Responses, which you provide in response to surveys or questionnaires.
  • Device and Usage Data. Depending on the Product, we may collect certain information about the device used to connect to our Product, such as device type and model, browser configurations, and persistent identifiers, such as IP addresses and unique device identifiers. We may collect device diagnostic information, such as battery level, usage logs, and error logs, as well as usage, viewing, and technical information (e.g., email open rates), such as the number of requests a device makes, to ensure proper system capacity for all Authorized Users. We may collect IP addresses and use that information to approximate device location to support operation of the Product. To the extent that we collect this information, this data is solely used to support operation of the Product and is not linked to Student Data. For purposes of clarity, Amplify does not use Student Data for marketing or advertising purposes (see section 6 of this Privacy Policy for more information about our commitments regarding Student Data).
    • Why? We use this information to remember returning users and facilitate ease of login, to customize the function and appearance of the Products, and to improve the learning experience. This information also helps us track product usage for various purposes, including website optimization, to ensure proper system capacity, troubleshoot and fix errors, provide technical assistance and customer support, provide and monitor the effectiveness of our Products, monitor and address security concerns, and compile analytics for product improvement and other internal purposes.
    • How? Cookies and Similar Technologies. We collect device and usage data through “cookies,” Web beacons, HTML5 local storage, and other similar technologies, which are used in some of our Products solely to support operation of the Products as described above. While we may use third party cookies and similar technologies for advertising and marketing purposes on our website (in accordance with our Website Privacy Policy), we do not permit such tracking technologies to be present on Student-facing portions of the Products. In particular, we only use the following types of cookies in our Products:
      • Strictly necessary cookies – These are cookies that are required for the operation of our websites and applications that host our Products. They include, for example, cookies that enable you to log into secure areas of our Products. These cookies are not generally stored beyond the browser session and are less likely to include personal information. This category of cookies cannot be disabled.
      • Functionality Cookies – We use these cookies so that we recognize you on the websites and apps that host our Products and remember your previously selected preferences. These cookies are stored on your device between browsing sessions but expire after a pre-defined period. These cookies enable us to “recognize” you when you use our Products, including your preferences such as your preferred language, time, and location. A mix of first party (placed by us) and third-party cookies (placed by third parties) are used.
      • Performance Cookies – These cookies help us and service providers acting on our behalf compile statistics and analytics about users of our Products that are accessed via websites and apps, including Device and Usage Information.
    • Learn how to opt out of cookies and similar technologies by reading the “What Rights and Choices Do You Have?” section of this Privacy Policy below.

3. How do we use personal information?

Student Data. Amplify uses Student Data for educational purposes, to provide the Products, and to ensure secure and effective operation of our Products, including:

  • to provide and improve our educational Products;
  • to support School and Authorized School Users’ activities;
  • to ensure secure and effective operation of our Products;
  • for purposes requested or authorized by the School or Authorized School User or as otherwise permitted by Applicable Laws;
  • for customer support purposes, to respond to the inquiries and fulfill the requests of the School and their Authorized School Users;
  • to enforce Product access and security controls; and
  • to conduct system audits and improve protections against the misuse of our Products, or to detect and prevent fraud and other harmful activities.
  • to enable the adaptive and personalized learning features of the Products.

Non-Student Data. Amplify may use Non-Student Data for the purposes for which Student Data is used as set forth above. In addition, Amplify may use Non-Student Data to provide customized content, advertising and marketing in limited circumstances (e.g. to periodically send newsletters and other promotional materials) directed to Educators and Home Users. For sake of clarity, we do not use Student Data for marketing purposes and we do not direct marketing to Students. Amplify may also use Non-Student Data for internal research and analytics, including generating insights on the use of our Products by Educators in certain Schools so that we can better serve those communities. We will also use Non-Student Data as otherwise required or permitted by law, or as we may notify you at the time of collection. Learn how to opt out of these communications by reading the “What Rights and Choices Do You Have?” section of this Privacy Policy below.

Amplify may use aggregate or de-identified data as described in the Aggregate/De-identified Data section below.

4. To whom do we disclose personal information?

Student Data. We disclose Student Data to third parties only as needed to provide the Products under the Agreement, as directed or permitted by the School or Authorized School User, and as required by law. Such disclosures may include but are not limited to the following:

  • to other Authorized School Users of the School entitled to access such data in connection with the Products;
  • to our service providers, subprocessors, or vendors who have a legitimate need to access such data in order to assist us in providing or supporting our Products, such as platform, infrastructure, and application software. We contractually bind such parties to protect Student Data in a manner consistent with those practices set forth in this Privacy Policy and in accordance with Applicable Laws. A list of Amplify subprocessors is available at https://www.amplify.com/subprocessors;
  • to comply with the law, respond to requests in legal or government enforcement proceedings (such as complying with a subpoena), protect our rights in a legal dispute, or seek assistance of law enforcement in the event of a threat to our rights, security, or property or that of our affiliates, customers, Authorized Users, or others;
  • in the event Amplify or all or part of its assets are acquired or transferred to another party, including in connection with any bankruptcy or similar proceedings, provided that successor entity will be required to comply with the privacy protections in this Privacy Policy with respect to information collected under this Privacy Policy, or we will provide the School with notice and an opportunity to opt out of the transfer of such data prior to the transfer; and
  • except as restricted by Applicable Laws or contracts with the School, we may also share Student Data with Amplify’s affiliated education companies, provided that such disclosure is solely for the purposes of providing Products and at all times is subject to this Policy.

Non-Student Data. Amplify discloses Non-Student Data for the purposes for which Student Data is used as set forth above. Amplify may also disclose Non-Student Data as otherwise required or permitted, or as disclosed at the time of collection. Please note that we do not share mobile information or opt-in consent with third parties / affiliates for their own marketing or promotional purposes.

5. Aggregate/De-identified data

Amplify may use de-identified or aggregate data for purposes allowed under FERPA and other Applicable Laws, to research, develop, and improve educational sites, services, and applications and to demonstrate the effectiveness of the Amplify Products. Amplify will not attempt to re-identify de-identified data. We may use aggregate information (which is information that has been collected in summary form such that the data cannot be associated with any individual) for analytics and reports. For example, our promotional materials may note the total number of students served by our programs in the prior year, but that information cannot be used to identify any one student. We may also share de-identified or aggregate data with research partners to help us analyze the information for product improvement and development purposes.

Records and information are de-identified when all personal information has been removed or obscured, such that the remaining information does not reasonably identify a specific individual. We de-identify Student Data in compliance with Applicable Laws and in accordance with the guidelines of NIST SP 800-122. Amplify has implemented internal procedures and controls to protect against the re-identification of de-identified Student Data. Amplify does not disclose de-identified data to its research partners unless that party has agreed in writing not to attempt to re-identify such data.

6. Data prohibitions, Advertising, Advertising limitations

Amplify will not:

  • sell Student Data to third parties;
  • use or disclose Student Data to inform, influence, or enable targeted advertising to a Student based on Student Data or information or data inferred over time from the Student’s usage of the Products;
  • use Student Data to develop a profile of a Student for any purpose other than providing the Products to a School or Authorized School User, or as authorized by a parent or legal guardian;
  • use Student Data for any commercial purpose other than to provide the Products to the School or Authorized School User, or as permitted by Applicable Laws.

7. External third-party services

This Privacy Policy applies solely to Amplify’s Products and practices. Schools and other Authorized Users may choose to connect or use our Products in conjunction with third-party services and Products. Additionally, our sites and Products may contain links to third-party websites or services . This Privacy Policy does not address, and Amplify is not responsible for, the privacy, information, or other practices of such third parties. Schools should carefully consider which third-party applications to include among the Products and services they provide to Students and vet the privacy and data security standards of those providers.

Authorized Users may be able to log in to our Products using third-party sign-in services such as Clever, ClassLink or Google. These services authenticate your identity and provide you with the option to share certain personal information with us, including your name and email address, to pre-populate our account sign-up form. If you choose to enable a third party to share your third-party account credentials with Amplify, we may obtain personal information via that mechanism. You may configure your accounts on these third-party platform services to control what information they share.

8. Security

Amplify maintains a comprehensive information security program and uses industry standard administrative, technical, operational, and physical measures to safeguard Student Data in its possession against loss, theft and unauthorized use, disclosure, or modification. Amplify performs periodic risk assessments of its information security program and prioritizes the remediation of identified security vulnerabilities. Please see https://amplify.com/security for a detailed description of Amplify’s security program.

In the event Amplify discovers or is notified that Student Data within our possession or control was disclosed to, or acquired by, an unauthorized party, we will investigate the incident, take steps to mitigate the potential impact, and notify the School in accordance with Applicable Laws.

Non-Student Data

Outside of Student Data, Amplify uses commercially reasonable administrative, technical, personnel, and physical measures to safeguard personal information in its possession against loss, theft, and unauthorized use, disclosure or modification.

9. Data Storage and Transfers

We are a United States Company, and our servers are hosted, managed, and controlled by us in the United States. If you are outside of the United States, we use industry standards to protect your data when it leaves your country of residence and your data will always be protected in accordance with this Privacy Policy, Applicable Laws and our Agreement regardless of the storage location.

Additionally, where we transfer your personal information to service providers outside of the United Kingdom (UK), European Economic Area (EEA), or other region that offers similar protections, we use specific appropriate safeguards to contractually obligate such service providers to protect personal information in accordance with Amplify’s commitment to privacy and security and applicable data protection laws.

If you have questions or wish to obtain more information about the international transfer of your personal information or the implemented safeguards, please contact us using the contact information below.

10. Data Retention / Deletion

Student Data

Upon request, we provide the School the opportunity to review and delete the personal information collected from Students. We will retain Student Data for the period necessary to fulfill the purposes outlined in this Privacy Policy and our Agreement with the School. We do not knowingly retain Student Data beyond the time period required to support the School or Authorized School User’s educational purpose, unless authorized by the School or Authorized School User. Upon request, Amplify will return, delete, or destroy Student Data stored by Amplify in accordance with applicable law and customer requirements. We may not be able to delete all data in all circumstances, such as information retained in technical support records, customer service records, back-ups, and similar business records. All such information will be protected in accordance with this Privacy Policy and our Agreement until it has been permanently deleted. Unless otherwise notified by the School, we will delete or de-identify Student Data after termination of our Agreement with the School.

Non-Student Data

Outside of Student Data, we keep personal information as long as it is necessary or relevant for the practices described in this Privacy Policy or as otherwise required by our Agreement with the School, if applicable. We determine the appropriate retention period for personal information on the basis of the amount, nature and sensitivity of the personal information being processed, the potential risk of harm from unauthorized use or disclosure of the personal information, whether we can achieve the purposes of the processing through other means, and on the basis of applicable legal requirements (such as applicable statutes of limitations).

11. What rights and choices do you have?

What Choices Do You Have?

Marketing/Advertising

As noted above, we do not use Student Data for marketing purposes and we do not direct marketing to Students. Amplify does not use third party cookies and similar technologies for advertising and marketing purposes on Student-facing portions of the Products. The choices below apply to Non-Student Authorized Users.

Opt-out of Marketing Communications. If you want to stop receiving promotional materials from Amplify, you can follow the unsubscribe instructions at the bottom of each email or email us at privacy@amplify.com. Amplify does not send marketing communications to Students.

Opt-out of Cookies and Similar Tracking Technologies. With respect to cookies, you may be able to reject cookies through your browser or device controls. Note that you have to opt-out of cookies on each browser or device that you use. If you replace, change, or upgrade your browser or device, or delete your cookies, you may need to use these opt-out tools again. Please be aware that disabling cookies may negatively impact your experience as some features may not work properly. To learn more about browser cookies, including how to manage or delete them, check the “Help,” “Tools,” or similar section of your browser.

What Rights Do You Have?

Individuals in the U.S.

  • What Rights Do You Have With Respect to Student Data?
    • Review and Correction. FERPA requires schools to provide parents with access to their children’s education records, and parents may request that the school correct records that they believe to be inaccurate or misleading.
    • If you are a parent or guardian and would like to review, correct, or update your child’s data stored in our Products, contact your School. Amplify will work with your School to enable your access to and, if applicable, correction of your child’s education records.
    • If you have any questions about whom to contact or other questions about your child’s data, you may contact us using the information provided below.
    • Other Privacy Rights? Please see section 3 of our supplemental disclosures: “Additional U.S. State Privacy Law Rights” for more information about your U.S. privacy rights

Individuals in the EU/UK

Please see section 4 of our supplemental disclosures: “Notice for European Economic Area and United Kingdom Customers” for more information about your EU/UK privacy rights.

12. COPPA

We do not knowingly collect personal information from a Child User unless and until a School or Educator, with the permission of the School, has authorized us to collect such information to provide the Products. Amplify relies on the School acknowledging that it is acting as the parent’s agent and consenting on the parent’s behalf to process personal information of Child Users in accordance with all applicable provisions of COPPA. To the extent COPPA applies to the information we collect, we process such information for educational purposes only, and no other commercial purpose, at the direction of the School and on the basis of the School’s authorization. If you are a parent or guardian and have questions about your child’s use of the Products and any personal information collected, please direct these questions to your child’s school.

Please refer to the Appendix–Supplemental Disclosures if you are a Home User.

13. Updates to this Privacy Policy

We may change this Privacy Policy in the future. For example, we may update it to comply with new laws or regulations, to conform to industry best practices, or to reflect changes in our product offerings. When these changes do not reflect material changes in our practices with respect to use and/or disclosure of Authorized Users’ personal information, including Student Data, such changes to the Privacy Policy will become effective when we post the revised Privacy Policy on our website. In the event there are material changes in our practices that would result in Authorized Users’ personal information being used in a materially different manner than was disclosed when the information was collected, with respect to Student Data, we will notify the School, and with respect to other information, we will notify you via email and provide an opportunity to opt out before such changes take effect.

14. Contact us

If you have questions about this Privacy Policy, please contact us at:

Email: privacy@amplify.com
Mail: Amplify Education, Inc.
55 Washington St.#800
Brooklyn, NY, 11201
Phone: (800) 823-1969
Attn: General Counsel

To report a security vulnerability, visit https://amplify.com/report-a-vulnerability/.

Appendix – Supplemental Disclosures

1. Mathigon and Amplify Classroom accounts

While our Products are geared towards Schools we do provide a limited opportunity for Home Users to use the Products at home—outside of the school context. We do not allow persons under the age of 13 (or those under the age of consent in any applicable jurisdiction) to register for an account with us outside the school context.

If you are a Home User, you are prohibited from collecting or providing any personal information from students or minors. You are permitted to access the platform for instructional purposes, but you may not enroll or roster minors, create accounts for minors, or input any personal information of minors into the Product.

Please note that most parts of Mathigon can be used without creating an account or providing any personal information that directly identifies you.

What Rights Do You Have? If you are a Child User who is 13 or older with a legacy Mathigon account (or the parent or guardian of a Child User with a legacy Mathigon account), you may request that we provide for your review, delete from our records, or cease collecting any Child User personal information. To the extent that you are unable to exercise these rights through self-service features within your account with us, please contact us by sending an email to: help@amplify.com and we will provide assistance.

2. U.S. Notice at Collection

Personal Information We Collect How We Use Personal Information

Student Data, which includes:

  • Roster Information
  • Demographic Data, such as race and national origin
  • School Records
  • Account Information
  • Schoolwork and Student Generated Content
  • Teacher Comments and Feedback
  • Device and Usage Data
  • To provide and improve our educational Products;
  • To support Schools’ and Authorized School Users’ activities;
  • To ensure secure and effective operation of our Products;
  • For purposes requested or authorized by the School or Authorized School Users, or as otherwise permitted by Applicable Laws;
  • For adaptive or personalized learning features of the Products; provided that Student Data is not disclosed;
  • For customer support purposes, to respond to the inquiries and fulfill the requests of the School and their Authorized School Users;
  • To enforce product access and security controls; and
  • To conduct system audits and improve protections against the misuse of our Products, or to detect and prevent fraud and other harmful activities.

Authorized Users, which includes:

  • Contact Information
  • Account Information
  • Survey Responses
  • Device and Usage Data
  • For the purposes for which Student Data is used as set forth above;
  • For marketing purposes in limited circumstances (e.g. to periodically send newsletters and other promotional materials), which will not be based on Student Data or directed to K–12 students;
  • For internal research and analytics; and
  • As otherwise required or permitted, or as we may notify you at the time of collection.

Some of the information described above may be considered “sensitive” under the laws of certain jurisdictions (i.e., account credentials and race/national origin) (“Sensitive Information”). We use Sensitive Information for necessary or reasonably expected purposes – specifically, to provide you with our Services (i.e., account credentials are used to allow account logins and race/national origin are used for the School’s reporting purposes when voluntarily provided by the School).

We do not sell or share your personal information, as described in California law.

We retain your personal information for as long as reasonably necessary for the purposes disclosed in the chart above. Additional information about our retention of Student Data and personal information from other Authorized Users can be found in Section 10 of this Privacy Policy.

Please see the Additional U.S. State Privacy Law Rights section of this appendix for information about your privacy rights pursuant to applicable U.S. law.

Notice of Financial Incentive

From time to time, to support our services, we offer opportunities to complete surveys and questionnaires. As an incentive for completing the survey or questionnaire, you can voluntarily provide personal information as an entry into a raffle drawing or to obtain other benefits, discounts, offers, or deals that may constitute a financial incentive under California law (“Financial Incentive”). The categories of personal information required for us to provide the Financial Incentives include: contact information and any other information that you choose to provide when you complete the survey.

Participation is voluntary and you can opt out at any time before the survey is complete. We do not allow students to participate in our surveys.

The value of the personal information we collect in connection with our Financial Incentives is equivalent to the value of the benefit offered.

3. Additional U.S. State Privacy Law Rights

Note for Requests Relating to Student Data: Because Amplify provides the Products to Schools as a “School Official,” we collect, retain, use, and disclose Student Data only for or on behalf of the School for educational purposes, including the purpose of providing the Products specified in our Agreement with the School and for no other commercial purpose. Accordingly, we act as a “service provider” for the School with respect to School Data. We work with the School to support and assist them in addressing privacy requests relating to School Data. Please reach out to your School directly if you wish to exercise any privacy rights that may be available to you.

For all other requests: With respect to Amplify Data, individuals residing in certain U.S. states have the following rights, regarding your personal information (each of which is subject to various exceptions and limitations):

  • Access. You have the right to request, up to two times every 12 months, that we disclose to you the categories of personal information collected about you; the categories of sources from which the personal information is collected; the categories of personal information sold or shared; the business or commercial purpose for collecting, selling, or sharing the personal information; the categories of third parties with whom personal information was shared; and the specific pieces of personal information collected about you.
  • Correction. You have the right to request that we correct inaccurate personal information collected from you.
  • Deletion. You have the right to request that we delete the personal information that we maintain about you. Even after the deletion of your account, some personal information may remain on our servers, such as in technical support logs, server caches, data backups, or email conversations. These will be automatically deleted after a reasonable amount of time, unless we are legally required to retain information for longer, or unless there is a legitimate business reason (e.g. security and fraud prevention or financial record-keeping). We are not required to delete any information which has been aggregated or de-identified in accordance with Section 5.
  • No Discrimination. You have the right not to be discriminated against for exercising these rights.
  • Appeals. You have a right to appeal decisions concerning your ability to exercise your consumer rights.

See Submitting Requests section below for details on submitting a request to exercise these rights.

4. Notice for European Economic Area (EEA) and United Kingdom (UK) Customers

As detailed at the beginning of our Privacy Policy (under the section titled “Our Role”), Amplify operates primarily as a processor that collects personal information on behalf of the School, and we act as a controller in limited circumstances where we offer Products outside the school context.

If you represent a School in the EEA or the UK, please note that we process personal information in accordance with this Privacy Policy, our Acceptable Use Policy, and our standard Data Protection Agreement, which sets out our responsibilities when it comes to our processing activities. Schools must send an email to privacy@amplify.com to enter into that DPA.

Lawful Basis for Processing

We rely on the following lawful bases for our processing activities:

  • Consent;
    • We obtain your consent to use cookies to collect and process device and usage data to understand how individuals use our Products.
  • Pursuant to a contract for use of our Products;
    • We process School Data to provide our Products (e.g., to create, authenticate and manage your account, to verify your identity, to manage our Products) pursuant to the Agreement between us and the School, as required in order for us to perform our obligations.
  • To comply with our legal obligations;
    • We process all categories of personal information that we collect to ensure the safety and security of our Products where we are complying with security requirements under data protection and cyber and information security law.
    • We process all categories of personal information that we collect to comply with our legal obligations which includes, for example, to access, retain or share certain personal information where we receive a valid request from a government body, law enforcement body, judicial body regulator or similar, to deal with legal claims and prospective legal claims, and to ensure we are complying with applicable laws.
  • When we have a legitimate interest in doing so, which is not outweighed by the risks to the individual.
    • We process all categories of personal information that we collect to support the provision, effective management, and improvement of our Products where such activities are not strictly required under our contract. This is in our legitimate interests to ensure that we are providing the best possible service.
    • We process all categories of personal information that we collect to ensure the safety and security of our services where this is important but not required under the data protection law or cyber and information security laws. This is in our legitimate interests to ensure the security of our services and systems, to prevent threats, abuse or fraudulent or unlawful activity, to promote safety and security and to ensure our Products are used in accordance with our terms and conditions.
    • We process the contact information of Non-Student Authorized Users to manage our relationship, including to respond to queries or otherwise communicate with you in relation to our Products and the operation of our business where this is not strictly required under a contract with you. This is in our legitimate interests to communicate with and resolve queries from users of our Products and to ensure that we are providing the best possible service.

We process the contact information and survey data of Non-Student Authorized Users for internal research and marketing purposes in limited circumstances (e.g. to periodically send newsletters and other promotional materials), which will not be based on Student Data or directed to Students. This is in our legitimate interests to understand our customers and prospective customers, understand how our products and services are perceived in the market, to promote our products, and to grow and develop our business.

Your Data Subject Rights

Note for Requests Relating to School Data: Amplify acts as processor to its School customers with respect to all School Data. We work with our School customers to support and assist them in addressing privacy requests relating to School Data. Please reach out to your School directly if you wish to exercise any privacy rights that may be available to you.

For all other Requests With respect to Amplify Data, you have the following rights if you are in the EEA or UK, subject to certain exceptions:

  • Right of access: You have the right to ask us for confirmation on whether we are processing your personal information and access to that personal information.
  • Right to correction: You have the right to have your personal information corrected.
  • Right to erasure: You have the right to ask us to delete your personal information.
  • Right to withdraw consent: You have the right to withdraw consent that you have provided.
  • Right to lodge a complaint with a supervisory authority: You have the right to lodge a complaint with a supervisory authority.
  • Right to restriction of processing: You have the right to request the limiting of our processing under limited circumstances.
  • Right to data portability: You have the right to receive the personal information that you have provided to us, in a structured, commonly used, and machine-readable format, and you have the right to transmit that information to another controller, including to have it transmitted directly, where technically feasible.
  • Right to object: You have the right to object to our processing of your personal information

See Submitting Requests section below for details on submitting a request to exercise these rights.

5. Submitting Requests

To exercise any of the rights described in sections 2 and 3 of this appendix, email us at privacy@amplify.com and specify which privacy right you intend to exercise. We may require additional information from you to allow us to confirm your identity. The verification steps will vary depending on the sensitivity of the personal information and whether you have an account with us. Please note that your rights may not apply in all cases. For example, we may need to retain your personal information to comply with our legal obligations, resolve disputes, prevent fraud and enforce our agreements. We will inform you if we are not able to fully respond to your requests. You may designate an authorized agent to make a request on your behalf. When submitting the request, please ensure the authorized agent identifies himself/herself/itself as an authorized agent and can show written permission from you to represent you. We may contact you directly to confirm that you have authorized the agent to act on your behalf or confirm your identity.

Complaints

If you have any issues, you have the right to lodge a complaint with an EEA or UK supervisory authority. We would, however, appreciate the opportunity to address your concerns before you approach a data protection regulator and would welcome you directing an inquiry first to us. To do so, please contact us by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

6. Google APIs

Amplify uses Google’s Application Programming Interface (API) Services to enable Authorized Users to log in to Amplify, import classes and rosters from Google Classroom, create assignments in Google Classroom, and copy, edit, and publish Amplify content using Google Slides. Amplify will use and transfer information received from Google’s API in accordance with Google API Service User Data Policy, including the Limited Use requirements.

Update History:

Update: 6/13/2025: This Policy has been updated to align with product updates and to provide additional context for authorized educational use of Amplify’s Products.

Update 6/27/2024: The Policy has been updated to include an explanation regarding Google APIs in the Appendix — Supplemental Disclosures section.

Update 6/30/2023: This Privacy Policy has been updated to address new state law data privacy requirements.

Welcome to the Amplify Science classroom showcase!

The Amplify Science K–8 curriculum blends hands-on investigations, literacy-rich activities, and interactive digital tools to empower students to think, read, write, and argue like real scientists.

Discover inspiring classroom examples and teacher resources from educators nationwide who are bringing Amplify Science to life.

Want to showcase your classroom?

We love seeing how you bring learning to life! Share photos to inspire fellow educators.

A collage of four images: a Classroom Wall with a science board, a night sky with constellations, birds flying in the sky, and a classroom display about a gecko inspired by Amplify Science.
A collage of three classroom science boards on animal adaptations, rainforests, and force & motion—each featuring small cartoon animals—brightens the Classroom Wall and highlights hands-on activities inspired by Amplify Science.

Classroom Wall

Every Amplify Science unit includes a Classroom Wall that grows and evolves as students build understanding. Here are a few examples from real Amplify Science classrooms!

Grades K–5

Credit: Shannon Cox, Sabine Parish School District, LA

Credit: Rebecca Steindler O’Brien, P.S. 051 The Elias Howe School, NY

Credit: Veeh Nguyen, Belle Chasse Academy, LA

Credit: Brittney Gooden, LaSalle Parish, LA

Credit: Buffy Scott Marcantel, Maplewood Elementary, LA

Credit: Chrissy Campenni, Wyoming Area School District, PA

Credit: Christy Flynn, Grant Parish School Board, LA

Credit: William Howard Taft Elementary School, OH

Credit: Cristina Cullen, Glendora Unified School District, CA

Grades 6–8

Credit: Erica Fernandez, Elsinore Middle School, CA

Credit: Sheyenne Cahalan, Knox County R-1 School District, MO

Credit: Joshua Ryan Abellera, Fertitta Middle School, NV

Credit: Karen Wynne, Portola Middle School, CA

Credit: Crystal Cuaron Baker, Las Cruces Public Schools, NM

Credit: Natalia Seoane, Heritage Intermediate School, CA

Credit: Lisa Anglim, Elizabeth Ustach Middle School, CA

Credit: Maria Katsanos, New York City Public Schools, NY

Credit: Lindsey Hampf, Upper Township School District, NJ

Credit: Anna Radef, Cadwallader Middle School, NV

Credit: Jessica Kruger, Gardner International, MI

Credit: Albert Hutchful, Clark County School District, NV

Credit: Kim Eich, Anoka-Hennepin Public School District 1, MN

Credit: Shannon Cox, Sabine Parish School District, LA

Credit: Anna Radef, Clark County School District, NV

Hands-on science activities

Students engage in hands-on science activities throughout Amplify Science. These photos capture curiosity in action and showcase real students exploring, building, testing, and investigating in Amplify Science classrooms.

Students engage in hands-on activities and experiments with liquids and solids, reading, and preparing materials, enhanced by illustrations and abstract art around the photos, supporting the Amplify Science curriculum.

Grades K–5

Grade 1: Animal and Plant Defenses
Designing animal defenses during the Animal and Plant Defenses unit
Credit: Veeh Nguyen, Belle Chasse Academy, LA

Grade 1: Light and Sound
Exploring shadows for the Light and Sound unit
Credit: Brittney Gooden, LaSalle Parish, LA

Grade 1: Light and Sound
Investigating vibrations during the Light and Sound unit
Credit: Jennifer Baker, Rapides Parish School Board, LA

Grade 1: Light and Sound
Puppet show for the Light and Sound unit
Credit: Anna Dardar, Rapides Parish School Board, LA

Grade 2: Changing Landforms
Exploring sand samples for the Changing Landforms unit
Credit: Rebecca Steindler O’Brien, P.S. 051 The Elias Howe School, NY

Grade 3: Balancing Forces
Exploring forces with magnet tricks for the Balancing Forces unit
Credit: Maureen Patt, Broad Street Elementary School, NH

Grade 3: Inheritance and Traits
Imaginary clay creatures to investigate traits in real organisms for the Inheritance and Traits unit
Credit: Maribel Ramos, Esperanza Academy Charter School, PA

Grade 3: Inheritance and Traits
Students showing off their knowledge for the Inheritance and Traits unit by creating their own drawings.
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 3: Inheritance and Traits
Determining which offspring belong to which set of parent pigeons based on similar traits for the Inheritance and Traits unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 3: Inheritance and Traits
Using celery as a real-life example of how the environment can impact traits, during the Inheritance and Traits unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 3: Environments and Survival
Modeling how ruby-throated hummingbirds with different traits meet their need for food during the Environments and Survival unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 3: Weather and Climate
Learning the best ways to collect, measure, and compare rainfall data for the Weather and Climate unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 4: Energy Conversions
Students created their own simple systems using a solar panel, alligator clips, wires, an LED light, and a buzzer during the Energy Conversions unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 4: Energy Conversions
Designing wind turbines during the Energy Conversions unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 4: Vision and Light
Planning vision models for the Vision and Light unit
Credit: Maribel Ramos, Esperanza Academy Charter School, PA

Grade 4: Vision and Light
Writing a scientific explanation for the Vision and Light unit
Credit: Chrissy Campenni, Wyoming Area School District, PA

Grade 5: Patterns of Earth and Sky
Investigating daytime and nighttime during the Patterns of Earth and Sky unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 5: Patterns of Earth and Sky
Hands-On Flextension: Making artifacts for the Patterns of Earth and Sky unit
Credit: Adriana Barrera, J.W. Bishop Elementary School, TX

Grade 5: Modeling Matter
Flavor ingredients test for the Modeling Matter unit
Credit: Kevin Butters, Grand Island Public Schools, NE

Grade 5: Modeling Matter
Testing ingredients to make salad dressing during the Modeling Matter unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 5: Modeling Matter
Discussing solubility and attraction during the Modeling Matter unit
Credit: Cristina Cullen, Glendora Unified School District, CA

Grade 5: The Earth System
Designing freshwater systems for The Earth System unit
Credit: Sandi O’Brien, Parkmead Elementary School, CA

Grade 5: Ecosystem Restoration
Building terrariums for the Ecosystem Restoration unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 5: Ecosystem Restoration
Leaves and Roots game board from the Ecosystem Restoration unit
Credit: Cyndi Thompson Crouch, Smithville School District, MO

Grade 5: Ecosystem Restoration
Food web models with students’ favorite stuffed animals for the Ecosystem Restoration unit
Credit: Halli Trinker, Boonton Township School District, NJ

Grades 6–8

Grade 6: Microbiome
Drawing scale models of microorganisms for the Microbiome unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6: Microbiome
Hands-On Flextension: Investigating microscopic evidence of life for the Microbiome unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6: Metabolism
Investigating chemical reactions with water, phenol red, baking soda, and calcium chloride for the Metabolism unit
Credit: Jessica Kruger, Gardner International Magnet School, MI

Grade 6: Metabolism
Introducing the classroom body systems model for the Metabolism unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6: Metabolism Engineering Internship
Healthy bars for the Metabolism Engineering Internship
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6: Thermal Energy
Simulating hot and cold water during the Thermal Energy unit
Credit: Whitney Stewart, Rapides Parish School Board, LA

Grade 6: Ocean, Atmosphere, and Climate
Playing the Ocean Currents game for the Ocean, Atmosphere, and Climate unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6: Weather Patterns
Modeling a warm air parcel for the Weather Patterns unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 7: Geology on Mars
The Flowing Water Model for the Geology on Mars unit
Credit: Kim Eich, Anoka-Hennepin Public School District 1, MN

Grade 7: Plate Motion Engineering Internship
Modeling a tsunami wave for Plate Motion Engineering Internship
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 7: Chemical Reactions
Investigating substance changes for the Chemical Reactions unit
Credit: Ashlie Beals Arkwright, SCAPA at Bluegrass, KY

Grade 7: Populations and Resources
Conducting a yeast experiment during the Populations and Resources unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 8: Harnessing Human Energy
Investigating energy systems for the Harnessing Human Energy unit
Credit: Lisa Anglim, Elizabeth Ustach Middle School, CA

Grade 8: Force and Motion
Investigating forces on different objects for the Force and Motion unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 8: Force and Motion Engineering Internship
Designing an Egg Drop Model during the Force and Motion Engineering Internship
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 8: Magnetic Fields
Hands-On Flextension: Exploring electrostatic force for the Magnetic Fields unit
Credit: Melanie Wenger, Lincoln Park Middle School, NJ

Grade 8: Light Waves
Students observing that light can cause materials to heat up, change color, and move for the Light Waves unit
Credit: Gloria Davis, Panama-Buena Vista Unified School District, CA

Grade 8: Light Waves
Students discover what happens to light as it travels for the Light Waves unit
Credit: Gloria Davis, Panama-Buena Vista Unified School District, CA

Grade 8: Light Waves
Students participating in a fishbowl discussion to share observations and evidence for the Light Waves unit
Credit: Gloria Davis, Panama-Buena Vista Unified School District, CA

Grade 8: Earth, Moon, and Sun
Paper model of the Moon’s phases for Earth, Moon, and Sun unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 8: Evolutionary History
Hands-On Flextension: Reconstructing owl pellet skeletons for the Evolutionary History unit
Credit: Elizabeth DeBoo, St. Frances Cabrini Academy, MO

Grade 6

Unit 1: Area and Surface Area

Amplify MathDesmos Math 6–A1
Unit 1: Area and Surface AreaUnit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: The TangramUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Exploring the TangramUnit 1
Lesson 2: Letters
Sub-Unit 1 : Area of Special Polygons
Lesson 3: Tilting the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Compositing and Rearranging to Determine AreaUnit 1
Lesson 2: Letters
Lesson 5: Reasoning to Determine AreaUnit 1
Lesson 2: Letters
Lesson 6: ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 7: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 8: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 9: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 10: Bases and Heights of TrianglesUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 11: Formula for the Area of a TriangleUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 12: From Triangles to TrapezoidsUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 13: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons Practice Day 1 (Print available)

Unit 7
Lesson 11: Polygon Maker
Sub-Unit 2: Nets and Surface Area
Lesson 14: What is Surface Area?Unit 1
Lesson 9: Renata’s Stickers
Lesson 15: Nets and Surface Area of Rectangular PrismsUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11:Nothing but Nets(Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 16: Nets and Surface Area of PrismsUnit 1
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 17: Constructing a RhombicuboctahedronUnit 1
Lesson 13: Take It To Go (Print available)
Lesson 18: Simplifying Expressions for Squares and CubesUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 19: Simplifying Expressions Even More Using ExponentsUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 20: Designing a Suspended Tent 

Unit 2: Introducing Ratios

Amplify MathDesmos Math 6–A1
Unit 2: Introducing RatiosUnit 2: Introducing Ratios
Lesson 1: Fermi Problems 
Sub-Unit 1: What are Ratios?
Lesson 2: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3:Rice Ratios (Print available)
Lesson 4: A Recipe for Purple Oobleck 
Lesson 5: Kapa Dyes 
Sub-Unit 2:Equivalent Ratios
Lesson 6: Defining Equivalent RatiosUnit 2
Lesson 3: Rice Ratios (Print available)
Lesson 4: Fruit Lab (Print available)
Lesson 11: Community Life (Print available)
Practice Day 1 (Print available)
Lesson 7: Representing Equivalent Ratios with Tables 
Lesson 8: Reasoning with Multiplication and Division (optional) 
Lesson 9: Common Factors 
Lesson 10: Common Multiples 
Lesson 11: Navigating a Table of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 12: Tables and Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 13: Tempo and Double Number LinesUnit 2
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Sub-Unit 3: Solving Ratio Problems 
Lesson 14: Solving Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 15: Part-Part-Whole RatiosUnit 2
Lesson 12 Mixing Paint, Part 2
Lesson 13: City Planning
Lesson 16: Comparing Ratios 
Lesson 17: More Comparing and Solving 
Lesson 18: Measuring with Different-Sized Units 
Lesson 20: More Fermi Problems 

Unit 3: Rates and Percentages

Amplify MathDesmos Math 6–A1
Unit 3: Rates and PercentagesUnit 2: Introducing Ratios
Unit 3: Unit Rates and percentages
Lesson 1: Choosing Representation for Student CouncilLaunch Lesson
Sub-Unit 1: Rates
Lesson 2: How Much for One?Unit 3
Lesson 4: Model Trains
Lesson 3: Constant Speed  
Lesson 4: Comparing SpeedsUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 5: Interpreting RatesUnit 3
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 6: Comparing Rates 
Lesson 7: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Sub-Unit 2: Percentages
Lesson 8: What Are percentages?Unit 3
Lesson 8: Lucky Duckies
Lesson 9: Bicycle Goals
Lesson 9: Determining Percentages 
Lesson 10: Benchmark PercentagesUnit 3
Lesson 7: Lucky Duckies
Lesson 11: Finding This Percent of ThatUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 12: This Percent of What 
Lesson 13: Solving Percentage ProblemsUnit 3
Lesson: 10: What’s Missing (Print available)
Lesson: 11: Cost Breakdown
Lesson: 12: More Bicycle Goals
Lesson: 13: A Country as a Village
Lesson 14: If Our Class Were the World 
Lesson 15: Voting for a School Mascot 

Unit 4: Dividing Fractions

Amplify MathDesmos Math 6–A1
Lesson 1: Seeing Fractions
Sub-Unit 1: Interpreting Division Scenarios
Lesson 3: Relating Multiplication and Division 
Lesson 4: Size of Divisor and Size of QuotientUnit 4
Lesson 1: Cookie Cutter
Sub-Unit 2: Division with Fractions
Lesson 5: How Many GroupsUnit 4
Lesson 3: Flour Planner
Lesson 4: Flower Planters
Lesson 4: Garden Bricks (Print available) 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap
Lesson 7: Dividing with Common DenominatorsUnit 4
Lesson 6: Fill the Gap
Lesson 8: How Much in Each Group? (Part 1)Unit 4
Lesson 8: Potting Soil
Lesson 9: How Much in Each Group? (Part 2)Unit 4
Lesson 8: Potting Soil
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 11: Using an Algorithm to Divide FractionsUnit 4
Lesson 9: Division Challenges Practice Day
Lesson 13: Fractional LengthsUnit 4
Lesson 12: Puzzling 
Lesson 14: Area with Fractional LengthsUnit 4
Lesson 9: Puzzling Area (Print available)
Lesson 15: Volume of PrismsUnit 4
Lesson 13: Volume Challenges (Print available)
Lesson 16: Fish Tanks Inside of Fish TanksUnit 4
Lesson 10: Swap Meet
Lesson 17: Now, Where Was That Bus?Unit 4
Lesson 10: Capstone

Unit 5: Arithmetic in Base Ten

Amplify MathDesmos Math 6–A1
Lesson 1: Precision and World Records 
Sub-Unit 1: Adding and Subtracting Decimals 
Lesson 2: Speaking of Decimals…Unit 5
Lesson 1: Dishing Out Decimals (Print available)
Lesson 3: Adding and Subtracting DecimalsUnit 5
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 4: X Games Medal ResultsUnit 5
Lesson 2: Decimal Diagrams
Sub-Unit 2: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5
Lesson 6: Multiplying with Areas
Sub-Unit 3: Dividing Decimals
Lesson 9: Exploring Division 
Lesson 10: Using Long DivisionUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 12: Using Related Expressions to Divide with Decimals 
Lesson 13: Dividing Multi-Digit DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 14: The So-called World’s Littlest Skyscraper

Unit 6: Expressions and Equations

Amplify MathDesmos Math 6–A1
Unit 6: Expressions and EquationsUnit 6: Expressions and Equations
Lesson 1: Detecting Counterfeit Coins
Sub-Unit 1: Expressions and Equations in One Variable
Lesson 2: Write Expressions Where Letters Stand for Numbers 
Lesson 3: Tape Diagrams and Equations 
Lesson 4: Truth and EquationsUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 5: Staying in BalanceUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Staying in Balance with Variables 
Lesson 7: Practice Solving EquationsUnit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 8: A New Way to Interpret a over bUnit 6
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 9: Revisiting Percentages
Sub-Unit 2: Equivalent Expressions
Lesson 10: Equal and Equivalent (Part 1)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 11: Equal and Equivalent (Part 2)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 12: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 13: The Distributive Property, Part 2Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 14: Meaning of ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 15: Evaluating Expressions with ExponentsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 16: Analyzing Exponential Expressions and EquationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Sub-Unit 3: Relationships Between Quantities
Lesson 17: Two Related Quantities, Part 1Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 18: Two Related Quantitites, Part 2Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 19: Creating a Class Mobile 

Unit 7: Rational Numbers

Amplify MathDesmos Math 6–A1
Unit 7: Rational Numbers
Unit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: How Far? Which Way?
Sub-unit 1: Negative Numbers and Absolute Value
Lesson 2: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig In
Lesson 2: Digging Deeper
Lesson 3: Points on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 4: Comparing IntegersUnit 7
Lesson 3: Order in the Class (Print available)
Lesson 5: Comparing and Ordering Rational NumbersUnit 7 
Lesson 3: Order in the Class (Print available)
Lesson 6: Using Negative Numbers to Make Sense of Contexts>Unit 7
Lesson 4: Sub-Zero
Lesson 7: Absolute Value of NumbersUnit 7
Lesson 5: Distance on the Number Line
Lesson 8: Comparing Numbers and Distance from ZeroUnit 7
Lesson 5: Distance on the Number Line
Sub-Unit 2: Inequalities
Lesson 9: Writing Inequalities 
Lesson 10: Graphing Inequalities 
Lesson 11: Solutions to One or More InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Lesson 12: Interpreting InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Sub-Unit 3: The Coordinate Plane
Lesson 13: Extending the Coordinate Plane 
Lesson 14: Points on the Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 15: Interpreting Points on a Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Lesson 16: Distances on a Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 17: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Letters
Lesson 5: Exploring Triangles (Print available)
Lesson 6: Triangles and Parallelograms

Unit 7
Lesson 3: Exploring Parallelograms (Print available)
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 18: Lost and Found Puzzles 
Lesson 19: Drawing on the Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Amplify MathDesmos Math 6–A1
Unit 8: Data Sets and DistributionsUnit 8: Describing Data
Lesson 1: Plausible Variation or New Species?
Sub-Unit 1: Statistical Questions and Representing Data
Lesson 2: Statistical QuestionsUnit 8
Lesson 1: Screen Time
Lesson 2: Dot Plots
Lesson 3: Interpreting Dot PlotsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 4: USing Dot Plots to Answer Statistical QuestionsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 5: Interpreting HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 6: Using Histograms to Answer Statistical QuestionsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 7: Describing Distributions on HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Sub-Unit 2: Measures of Center
Lesson 8: Mean as a Fair ShareUnit 8
Lesson 7: Snack Time
Lesson 9: Mean as a Balance PointUnit 8
Lesson 7: Snack Time
Lesson 10: MedianUnit 8
Lesson 11: Toy Cars
Lesson 12: In the News
Lesson 11: Comparing Mean and MedianUnit 8
Lesson 12: In the News
Sub-Unit 3: Measures of Variability
Lesson 12: Describing Variability 
Lesson 13: Variability and MAD 
Lesson 14: Variability and IQRUnit 8
Lesson 13: Pumpkin Patch
Lesson 15: Box PlotsUnit 8
Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Comparing MAD and IQR 
Lesson 17: Asian Elephant Populations 

Grade 7

Unit 1: Scale Drawings

Amplify MathDesmos Math 6–A1
Unit 1: Scale DrawingsUnit 1: Scale Drawings
Unit 3: Measuring Circles
Unit 4: Proportional Relationships and Percentages
Lesson 1: Scale-y Shapes 
Sub-Unit 1: Scaled Copies 
Lesson 2: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Lesson 3: Corresponding Parts and Scale FactorsUnit 1
Lesson 2: Scaling Robots 
Unit 3
Lesson 1: Toothpicks
Lesson 4: Making Scaled CopiesUnit 1
Lesson 3: Make It Scale 
Unit 4
Lesson 3: Sticker Sizes
Lesson 5: The Size of the Scale FactorUnit 1
Lesson 4: Tiles
Lesson 6: Scaling and AreaUnit 1
Lesson 5: Tiles Practice Day 1 (Print available)
Sub-Unit 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available)
Lesson 8: Creating Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 9: Scale Drawings and Maps 
Lesson 10: Changing Scale in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)Practice Day (Print available)
Lesson 13: Build Your Brand 

Unit 2: Introducing Proportional Relationships

Amplify MathDesmos Math 6–A1
Unit 2: Introducing Proportional RelationshipsUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Lesson 1: Making Music 
Sub-Unit 1: Representing Proportional Relationships with Tables and Equations
Lesson 2: Introducing Proportional Relationships with TablesUnit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)

Unit 4
Lesson 3: Sticker Sizes
Lesson 4: Comparing Relationships with TablesUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 5: Proportional Relationships and EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 6: Speed and Equations 
Lesson 7: Two Equations for Each RelationshipUnit 2
Lesson 4: Two and Two (Print available)
Lesson 5: Lesson 7: All Kinds of Equations
Lesson 8: Using Equations to Solve ProblemsUnit 2
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 9: Comparing Relationships with EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Lesson 10: Solving Problems About Proportional RelationshipsUnit 2
Lesson 12: Water Efficiency
Sub-Unit 2: Representing Proportional Relationships with Graphs 
Lesson 11: Introducing Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 12: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 13: Using Graphs to Compare RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 14: Two Graphs for Each RelationshipUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 15: Four Ways to Tell One Story (Part 1) 
Lesson 16: Four Ways to Tell One Story (Part 2) 
Lesson 17: Welcoming Committee 

Unit 3: Measuring Circles

Amplify MathDesmos Math 6–A1
Unit 3: Measuring CirclesUnit 3: Measuring Circles
Lesson 1: The Wandering Goat 
Sub-unit 1: Circumference of a Circle 
Lesson 2: Exploring CirclesUnit 3
Lesson 2: Is it a Circle?
Lesson 3: Measuring Around
Lesson 3: How Well Can You Measure? 
Lesson 4: Exploring CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 5: Understanding π 
Lesson 6: Applying CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 7: Circumference and Wheels 
Sub-Unit 2: Area of a Circle
Lesson 8: Exploring the Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 9: Relating Area to CircumferenceUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 10: Applying Area to CirclesUnit 3
Lesson 6:Radius Squares (Print available)
Lesson 11: Distinguishing Circumference and AreaUnit 3
Lesson 7: Why Pi?
Lesson 12: Capturing Space 

Unit 4: Proportional Relationships and Percentages

Amplify MathDesmos Math 6–A1
Unit 4: PercentagesUnit 4: Proportional Relationships and Percentages
Lesson 1: (Re)Presenting the United States 
Lesson 2: Understanding Percentages and Decimals 
Lesson 3: Percent Increase and DecreaseUnit 4Lesson 4: More or Less
Lesson 4: Determining 100%Unit 4Lesson 6: 100% (Print available)
Lesson 5: Determining Percent ChangeUnit 4Lesson 7: Percent Machines
Lesson 6: Percent Increase and Decrease With EquationsUnit 4Lesson 5: All the Equations
Lesson 7: Using Equations to Solve Percent ProblemsUnit 4Lesson 5: All the Equations
Sub-Unit 2: Applying Percentages 
Lesson 8: Tax and TipUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 9: Percent ContextsUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 10: Determining the PercentageUnit 4
Lesson 4: More and Less
Lesson 11: Measurement ErrorUnit 4
Lesson 11: Bookcase Builder
Lesson 12: Error IntervalsUnit 4
Lesson 11: Bookcase Builder
Lesson 13: Writing Better Headlines 

Unit 5: Rational Number Arithmetic

Amplify MathDesmos Math 6–A1
Unit 5: Rational Number ArithmeticUnit 5: Rational Number Artithmetics
Lesson 1: Target: Zero 
Sub-Unit 1: Adding and Subtracting Rational Numbers 
Lesson 2: Interpreting Negative Numbers
Lesson 3: Changing TemperaturesUnit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 4: Adding Rational Numbers 
Lesson 5: Money and Debts 
Lesson 6: Representing SubtractionUnit 5
Lesson 5: Number Puzzles
Lesson 7: Subtracting Rational Numbers (Part 1)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 8: Subtracting Rational Numbers (Part 2)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 9: Adding and Subtracting Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Sub-Unit 2: Multiplying and Dividing Rational Numbers 
Lesson 10: Position, Speed, and TimeUnit 5
Lesson 7: Back in Time
Lesson 11: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 12: Multiply!Unit 5
Lesson 7: Back in Time
Lesson 13: Dividing Rational NumbersUnit 5
Lesson 7: Speeding Turtles
Lesson 14: Negative Rates 
Sub-Unit 3: Four Operations with Rational Numbers 
Lesson 15: Expressions with Rational NumbersUnit 5
Lesson 9: Expressions (Print available)
Lesson 16: Say It With Decimals 
Lesson 17: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Lesson 18: Solving Equations With Rational Numbers 
Lesson 19: Representing Contexts With Equations 
Lesson 20: Summiting Everest 

Unit 6: Expressions, Equations, and Inequalities

Amplify MathDesmos Math 6–A1
Unit 6: Expressions, Equations, and InequalitiesUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Unit 6: Expressions, Equations, and Inequalities
Lesson 1: Keeping the Balance 
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 3: Reasoning About Solving Equations (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 4: Reasoning About Solving Equations (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 8: Factoring and Expanding (Print available)
Lesson 16: Shira the Sheep
Lesson 6: Two Ways to Solve One EquationUnit 6
Lesson 4: Seeing Struction (Print available)
Lesson 7: Practice Solving EquationsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Sub-Unit 2: Solving Real-World Problems Using Two-Step Equations 
Lesson 8: Reasoning With Tape DiagramsUnit 6
Lesson 2: Smudged Receipts
Lesson 9: Reasoning About Equations and Tape Diagrams (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 10: Reasoning About Equations and Tape Diagrams (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 11: Using Equations to Solve ProblemsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available) 
Lesson 12: Solving Percent Problems in New WaysUnit 6
Lesson 4: Seeing Structure (Print available)

Unit 4
Lesson 7: Percent MachinesPractice Day 1 (Print available)
Practice Day 2 (Print available)
Sub-Unit 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 14: Solving InequalitiesUnit 6
Lesson 5: Balancing Moves
Lesson 6: Balancing Equations
Lesson 13: I Saw the Signs
Lesson 15: Finding Solutions to Inequalities in ContextUnit 6
Lesson 13: I Saw the Signs
Practice Day 1 (Print available)
Lesson 16: Efficiently Solving InequalitiesUnit 6
Lesson 10: Collect the Squares
Lesson 17: Interpreting InequalitiesUnit 6
Lesson 13: I Saw the Signs
Lesson 14: Unbalanced Hangers
Lesson 15: Budgeting (Print available)
Lesson 18: Modeling With Inequalities 
Sub-Unit 4: Equivalent Expressions 
Lesson 19: Subtraction in Equivalent Expressions 

Unit 7: Angles, Triangles, and Prisms

Amplify MathDesmos Math 6–A1
Unit 7: Angles, Triangles, and PrismsUnit 7: Angles, Triangles, and Prisms
Lesson 1: Shaping Up 
Sub-Unit 1: Angle Relationships 
Lesson 2: Relationships of AnglesUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 3: Supplementary and Complementary Angles (Part 1) 
Lesson 4: Supplementary and Complementary Angles (Part 2) 
Lesson 5: Vertical AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 6: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 7: Like Clockwork 
Sub-Unit 2: Drawing Polygons with Given Conditions 
Lesson 8: Building Polygons (Part 1)Unit 7
Lesson 6: Is It Enough?
Lesson 9: Building Polygons (Part 2)Unit 7
Lesson 6: Is It Enough?
Lesson 10: Triangles with Three Common MeasuresUnit 7
Lesson 13: Popcorn Possibilities
Lesson 11: Drawing Triangles (Part 1)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Lesson 12: Drawing Triangles (Part 2)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Sub-Unit 3: Solid Geometry
Lesson 13: Slicing SolidsUnit 7
Lesson 9: Slicing Solids
Lesson 14: Volume of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 15: Decomposing Bases for AreasUnit 7
Lesson 11: More Complicated Prisms
Lesson 16: Surface Area of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 17: Distinguishing Volume and Surface Area
Lesson 18: Applying Volume and Surface AreaUnit 7
Lesson 13: Popcorn Possibilities

Unit 8: Probability and Sampling

Amplify MathDesmos Math 6–A1
Unit 8: Probability and SamplingUnit 8: Probability and Sampling
Lesson 1: The Invention of Fairness 
Lesson 2: Chance Experiments 
Lesson 3: What are Probabilities?Unit 8
Lesson 1: How Likely? (Print available)
Lesson 2: Prob-bear-bilities [Free lesson
Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 5: Code Breaking (Part 1)
Lesson 6: Code Breaking (Part 2)
Sub-Unit 2: Probabilities of Multi-Step Events
Lesson 7: Keeping Track of All Possible OutcomesUnit 8
Lesson 4: Spin Class
Lesson 5: Is it Fair?
Lesson 6: Fair Games
Lesson 8: Experiments With Multi-Step Events  
Lesson 9: Simulating Multi-Step Events 
Lesson 10: Designing Simulations 
Sub-Unit 3:Sampling
Lesson 11: Comparing Two PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Larger PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 13: What Makes a Good Sample?Unit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 14: Sampling in a Fair WayUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 15: Estimating Population Measures of CenterUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 16: Estimating Population ProportionsUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 17: Presentation of Findings 

Grade 8

Unit 1: Rigid Transformations and Congruence

Amplify MathDesmos Math 6–A1
Unit 1: Rigid Transformations and CongruenceUnit 1: Rigid Transformations and Congruence
Unit 3: Proportional and Linear Relationships
Lesson 1: Tessellations 
Sub-Unit 1: Rigid Transformations 
Lesson 2: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 3: Symmetry and Reflection 
Lesson 4: Grid MovesUnit 1
Lesson 3: Transformation Golf
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated

Unit 3
Lesson 6: Translations
Lesson 5: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Coordinate Moves (Part 1)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 7: Coordinate Moves (Part 2)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1
Lesson 5: Getting Coordinated
Lesson 6: Connecting the Dots
Sub-Unit 2: Rigid Transformations and Congruence 
Lesson 9: No Bending or StretchingUnit 1
Lesson 7: No Bending, No Stretching
Lesson 10: What is the Same?Unit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Lesson 11: Congruent PolygonsUnit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Sub-Unit 4: Angles in a Triangle 
Lesson 13: Line Moves 
Lesson 14: Rotation Patterns 
Lesson 15: Alternate Interior AnglesUnit 1 
Lesson 11: Tearing It Up (Print available)
Lesson 16: Adding the Angles in a TriangleUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 17: Parallel Lines and the Angles in a TriangleUnit 1 
Lesson 10: Transforming Angles
Lesson 18: Creating a Border Pattern Using Transformations 

Unit 2: Dilations, Similarity, and Introducing Slope

Amplify MathDesmos Math 6–A1
Unit 2: Dilations and SimilarityUnit 2: Dilations and Similarity
Lesson 1: Projecting and Scaling 
Sub-Unit 1: Dilations
Lesson 2: Circular GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 3: Dilations on a Plane 
Lesson 4: Dilations on a Square GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 5: Dilations with CoordinatesUnit 2
Lesson 4: Dilations on a Plane
Sub-Unit 2: Similiarity
Lesson 6: SimilarityUnit 2
Lesson 5: Transformations Golf with Dilations
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 7: Similar PolygonsUnit 2
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 8: Similar TrianglesUnit 2
Lesson 7: Are Angles Enough?
Lesson 8: Shadows
Lesson 9: Ratios of Side Lengths in Similar Triangles
Lesson 12: Optical Illusions 

Unit 3: Linear Relationships

Amplify MathDesmos Math 6–A1
Unit 3: Proportional and Linear RelationshipsUnit 3: Proportional and Linear Relationships
Unit 4: Linear Equations and Linear Systems
Unit 5: Functions and Volume
Lesson 1: Visual Patterns 
Sub-Unit 1: Proportional Relationships 
Lesson 2: Proportional Relationships 
Lesson 3: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Water Tank 

Unit 5
Lesson 4: Window Frames
Lesson 5: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Unit 5
Lesson 4: Window Frames
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 6: Comparing Proportional RelationshipsUnit 3
Lesson 3: Posters
Sub-Unit 2: Linear Relationships
Lesson 7: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Stacking Cups

Unit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Relationships 
Lesson 9: More Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 10: Representations of Linear RelationshipsUnit 3
Lesson 5: Flags
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 11: Writing Equations for Lines Using Two Points 
Lesson 12: Translating mx + bUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 13: Slopes Don’t Have to be PositiveUnit 3
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 14: Writing Equations for Lines Using Two Points, Revisited 
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 3: Posters
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Sub-Unit 3: Linear Equations 
Lesson 16: Solutions to Linear EquationsUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 10: Solutions

 Unit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 17: More Solutions to Linear EquationsUnit 3 
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 10: Solutions
Lesson 18: Coordinating Linear Relationships 
Lesson 19: Rogue Planes 

Unit 4: Linear Equations and Linear Systems

Amplify MathDesmos Math 6–A1
Unit 4: Linear Equations and Systems of Linear EquationsUnit 4: Linear Equations and Systems of Linear Equations
Lesson 1: Number PuzzlesUnit 4
Lesson 1: Number machines
Sub-Unit 1: Linear Equations in One Variable 
Lesson 2: Writing Expressions and Equations
Lesson 3: Keeping the BalanceUnit 4
Lesson 2: Keep It Balanced
Lesson 4: Balanced Moves (Part 1)Unit 4
Lesson 3: Balanced Moves
Lesson 5: Balanced Moves (Part 2)Unit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 6: Solving Any Linear EquationsUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available)
Lesson 6: Strategic Solving (Print available)
Lesson 7: How Many Solutions? (Part 1)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 8: How Many Solutions? (Part 2)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 9: Strategic Solving 
Lesson 10: When Are They the SameUnit 4
Lesson 8: When Are They the Same?
Sub-Unit 2: Systems of Linear Equations
Lesson 11: On or Off the Line?Unit 4
Lesson 9: On or Off the Line?
Lesson 12: On Both of the LinesUnit 4
Lesson 10: On Both Lines
Lesson 13: Systems of Linear EquationsUnit 4
Lesson 11: Make Them Balance
Lesson 14: Solving Systems of Equations (Part 1)Unit 4
Lesson 14: All, Some, or None? Part 2
Lesson 15: Solving Systems of Equations (Part 2)Unit 4
Lesson 12: All, Some, or None? Part 2
Lesson 16: Writing Systems of Linear EquationsUnit 4
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 17: Pay Gaps 

Unit 5: Functions and Volume

Amplify MathDesmos Math 6–A1
Unit 5: Functions and VolumeUnit 2: Dilations, Similarity, and Introducing Slope
Unit 3:
Proportional and Linear Relationships
Unit 5:
Functions and Volume
Lesson 1: Pick a Pitch 
Sub-Unit 1: Representing and Interpreting Functions 
Lesson 2: Introduction to FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 3: Equations of FunctionsUnit 3
Lesson 4: Window Frames
Lesson 4: Graphs of Functions (Part 1)Unit 5
Lesson 3: Function or Not?
Lesson 5: Graphs of Functions (Part 2)Unit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Functions (Part 3)Unit 5
Lesson 6: Graphing Stories
Lesson 7: Connecting Representations of FunctionsUnit 5
Lesson 7: Feel the Burn (Print available)Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Functions 
Lesson 9: Modeling with Linear Functions 
Lesson 10: Piecewise Linear FunctionsUnit 5
Lesson 9: Piecing It Together
Sub-Unit 2: Cylinder, Cones, and Spheres 
Lesson 11: Filling Containers 
Lesson 12: The Volume of a CylinderUnit 5
Lesson 10: Volume LabLesson 11: Cylinders
Lesson 12: Scaling Cylinders
Lesson 13: Determining Dimensions of CylindersUnit 5
Lesson 14: Missing Dimensions (Print available)
Lesson 14: The Volume of a ConeUnit 5
Lesson 10: Volume LabLesson 13: Cones
Lesson 15: Determining Dimensions of ConesUnit 5
Lesson 12: Scaling Cylinders
Lesson 13: Cones
Lesson 14: Missing Dimensions (Print available)
Lesson 16: Estimating a Hemisphere 
Lesson 17: The Volume of a SphereUnit 5
Lesson 15: Spheres
Lesson 18: Cylinders, Cones and SpheresUnit 5
Lesson 15: Practice Day 2 (Print available)
Lesson 19: Scaling One Dimension 
Lesson 20: Scaling Two Dimensions 
Lesson 21: Packing Spheres 

Unit 6: Exponents and Scientific Notation

Amplify MathDesmos Math 6–A1
Unit 6: Exponents and Scientific NotationUnit 7: Exponents and Scienctific Notation
Lesson 1: Create a Sierpinski Triangle 
Sub-Unit 1: Exponent Rules 
Lesson 2: Reviewing ExponentsUnit 7
 Lesson 1: Circles
Lesson 2: Combining Exponents
Lesson 3: Multiplying PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 4: Dividing PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 5: Negative ExponentsUnit 7 
Lesson 5: Zero and Negative Exponents
Lesson 6: Powers of PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 7: Different Bases, Same Exponent 
Lesson 8: Practice with Rational BasesUnit 7
Practice Day 1 (Print available)
Sub-Unit 2: Scientific Notation 
Lesson 9: Representing Large Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 10: Representing Small Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 11: Applications of Arthithmetic with Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 12: Definition of Scientific NotationUnit 7
Lesson 10: Solar System
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 13: Multiplying, Dividing, and Estimating with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 14: Adding and Subtracting with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 12: City Lights
Lesson 13: Star Power
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon? 

Unit 7: Irrationals and the Pythagorean Theorem

Practice Day 2 (Print available)

Amplify MathDesmos Math 6–A1
Unit 7: Irrationals and the Pythagorean TheoremUnit 8: The Pythagorean Theorem and Irrational Numbers
Lesson 1: Sliced Bread
Sub-Unit 1: Rational and Irrational Numbers
Lesson 2: The Square RootUnit 8
Lesson 2: From Squares to Roots
Lesson 3: The Ares of Squares and Their Side LengthsUnit 8
Lesson 1: Tilted Squares
Lesson 3: Between Squares
Lesson 4: Estimating Square RootsUnit 8
Lesson 3: Between Squares
Lesson 4: Root Down
Lesson 5: The Cube RootUnit 8
Lesson 5: Filling Cubes
Lesson 6: Rational and Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 7: Decimal Representations of Rational NumbersUnit 8
Lesson 12: Fractions to Decimals
Lesson 8: Converting Repeating Decimals Into FractionsUnit 8
Lesson 13: Decimals to Fractions
Sub-Unit 2: The Pythagorean Theorem
Lesson 9: Observing the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 10: Proving the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 11: Determining Unknown Side LengthsUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 12: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make it Right
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 14: Distances on the Coordinate Plane (Part 2)Unit 8
Lesson 11: Pond Hopper
Lesson 15: Applications of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Lesson 16: Pythagorean Triples

Unit 8: Pythagorean Theorem and Irrational Numbers

Amplify MathDesmos Math 6–A1
Unit 8: Associations in DataUnit 6: Associations in Data
Lesson 1: Creating a Scatter PlotUnit 6
Lesson 1: Click Battle
Sub-Unit 1: Associations in Data
Lesson 2: Interpreting Points on a Scatter PlotUnit 6
Lesson 3: Robots
Lesson 3: Observing Patterns in a Scatter PlotUnit 6
Lesson 7: Scatter Plot City
Lesson 4: Fitting a Line to DataUnit 6
Lesson 4: Dapper Cats
Lesson 5: Fit Fights
Lesson 5: Using a Linear ModelUnit 6
Lesson 6: Interpreting Slopes
Lesson 6: Interpreting Slope and y-interceptUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Analyzing Bivariate DataUnit 6
Lesson 8: Animal Brains
Lesson 8: Looking for AssociationsUnit 6
Lesson 9: Tasty Fruit
Lesson 9: Using Data Displays to Find AssociationsUnit 6
Lesson 10: Finding Associations
Lesson 11: Federal Budgets

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Winter Wrap-Up 03: Ideas to build math fluency

Promotional graphic for "Math Teacher Lounge" episode featuring Valerie Henry, Ed.D., on ideas to build math fluency, with a photo of Valerie Henry in the bottom right corner.

Join us for the third episode in our Winter Wrap-Up! In this episode from season 3 of Math Teacher Lounge: The Podcast, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

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What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guest

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

An older person with short gray hair and glasses, wearing a blue sweater, is outdoors with greenery and a fence in the background.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

What’s included in our Spanish language arts curriculum

Amplify Core Knowledge Language Arts® (CKLA) is available in both English and Spanish. Amplify Caminos al Conocimiento Esencial, our robust Spanish language arts companion for grades K–5, supports multiple teaching models, including dual language immersion and transitional classrooms.

A laptop screen displays a kindergarten instructional webpage in Spanish, showing lesson categories with illustrated thumbnails and navigation options.

Year at a glance

The program’s intentional Knowledge Sequence from K–5 connects knowledge and vocabulary within a grade level and across grade levels, for deeper reading comprehension and preparation for college, career, and life. Instead of “activating prior knowledge,” Amplify Caminos helps you build it in the classroom from day one, for every child, expanding each student’s knowledge base long before they transition to reading to learn.

Curriculum flowchart showing reading themes and activities from Kindergarten to Grade 5, organized by grade level and literary theme, with interconnected boxes for each topic.

Units & domains at a glance

Each Knowledge Domain in grades K–2 and Unit in grades 3–5 varies in the number of days based on instructional purpose. Just as with our top-rated Amplify CKLA program, the Amplify Caminos materials engage and delight young learners with resources that are both appealing and original.

Una mujer rubia con un vestido azul cuida ovejas blancas y negras, sosteniendo un bastón de pastor. Un cerdo vestido de azul corre y un hombre de negro toca el violín en una valla. Al fondo hay una casa.

Domain

Nursery Rhymes and Fables/Rimas y fábulas infantiles

Start learning about literature with these classic Mother Goose rhymes.

Ilustración de tres personas en un paisaje cubierto de hierba, una tratando de atrapar mariposas con una red, otra escondiéndose detrás de una escultura alta y frondosa de una mano y otra con binoculares.

Domain

The Five Senses/Los cinco sentidos

Learning about the body starts with learning about how we experience the world.

Una ilustración que representa a un gran lobo con sombrero de copa liderando un desfile de animales y personas con instrumentos musicales a través de un paisaje montañoso.

Domain

Stories/Cuentos

Learn about the parts of a book and some of the stories that go in one.

Una ilustración vibrante de una escena rural con colinas, una granja, una mariposa, un sol brillante, varias verduras como tomates y lechugas, y un gusano en el suelo.

Domain

Plants/Plantas

Discover the lifecycle of plants and the history of George Washington Carver.

Ilustración de una escena de granja que muestra un camión rojo que transporta verduras, campos de cultivo, vacas pastando en una colina, un granero y un molino de viento contra un cielo azul.

Domain

Farms/Granjas

Now we know how plants make their food… but what about animals?

Ilustración de un nativo remando en una canoa en un río con búfalos pastando en un campo, tipis al fondo y pájaros volando en el cielo bajo un sol brillante.

Domain

Native Americans/Los nativos americanos

Who were the first people in America? A look at the Lenape, Wampanoag, and Lakota Sioux.

Una ilustración muestra un rey y una reina en tronos, un castillo en un acantilado y una mujer con enanos cerca de un árbol. Cortinas rojas enmarcan la escena.

Domain

Kings and Queens/Reyes y reinas

To understand fairy tales, it’s best to first understand royalty.

Ilustración que muestra las cuatro estaciones: primavera con flores, verano con árboles verdes, otoño con hojas que caen e invierno con nieve y gente en trineo. Un niño lee debajo de un árbol.

Domain

Seasons and Weather/Las estaciones y el tiempo

The study of natural cycles continues with the weather and why it happens.

Un velero de madera con símbolos de cruz roja en sus velas navega cerca de una isla tropical con exuberante vegetación y palmeras. A lo lejos se ven otros dos barcos en el agua.

Domain

Columbus and the Pilgrims/Colón y los peregrinos

A look at the first contact between Europe and the Americas, and some of its results.

Una escena histórica muestra gente afuera de una gran mansión de estilo colonial con dos chimeneas. En primer plano se ve un carruaje tirado por caballos y a la izquierda se ve una casa más pequeña.

Domain

Colonial Towns and Townspeople/Las colonias y sus habitantes

Before the War for Independence, how did the town and country depend on one another?

Ilustración de personas clasificando materiales reciclables en un parque cerca de un río contaminado. Las fábricas emiten humo al fondo, mientras que las mariposas, las flores y los árboles están presentes en el primer plano.

Domain

Taking Care of the Earth/Cuidar el planeta Tierra

We only have one Earth—here are some ways to help care for it.

Ilustración del Monte Rushmore con los rostros tallados de cuatro presidentes de Estados Unidos. Un águila vuela en primer plano.

Domain

Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos

Start learning about government through the lives of five presidents.

Una ilustración caprichosa que muestra animales de granja alrededor de una casa en un árbol junto a un río. Un zorro, un conejo y una oveja interactúan mientras la gente acampa junto a una fogata al fondo. Una araña cuelga del árbol.

Domain

Fables and Stories/Fábulas y cuentos

Learn some of the key elements of a story through classic fables.

Ilustración que presenta anatomía humana, actividades de estilo de vida saludable, profesionales médicos, símbolos dietéticos, una ambulancia y microorganismos, destacando la conexión entre salud, nutrición y ejercicio.

Domain

The Human Body/El cuerpo humano

What are germs? What are the organs? And what does it all have to do with health?

Una ilustración que presenta varias escenas de cuentos de hadas y folclore, incluida una calabaza grande, un tigre, Caperucita Roja, personas con atuendos tradicionales y una pagoda roja con una montaña de fondo.

Domain

Different Lands, Similar Stories/Tierras diferentes, cuentos similares

A world tour of storytelling, and the stories that stay the same across the world.

Ilustración que muestra el antiguo Egipto con pirámides, la Esfinge, agricultores arando un campo con bueyes y ganado pastando bajo un cielo soleado.

Domain

Early World Civilizations/Antiguas civilizaciones del mundo

Rivers, farming, writing, and laws: just what does it take to build a civilization?

Escena ilustrada de la antigua Mesoamérica con maíz, un río, agricultores y pirámides al fondo. En primer plano se ve a una persona con traje tradicional.

Domain

Early American Civilizations/Antiguas civilizaciones de América

What will we find in the great temples of the Aztec, Maya, and Inca civilizations?

Ilustración de la exploración espacial: se lanza un cohete, un astronauta se para cerca de un módulo de aterrizaje, una persona usa un telescopio y aparece un planeta distante con anillos sobre un fondo estrellado.

Domain

Astronomy/Astronomía

How the Earth relates to the moon, the sun, and the rest of the planets.

Dos paleontólogos en un paisaje volcánico examinan fósiles en primer plano, mientras un volcán emite humo y lava al fondo.

Domain

The History of the Earth/La historia de la Tierra

Just what lies beneath the Earth’s surface, and what can it teach us about the past?

Una escena de vida silvestre diversa que presenta un cactus del desierto con un pájaro, un conejo, elefantes, un león, un oso polar sobre el hielo y montañas distantes bajo un cielo nublado.

Domain

Animals and Habitats/Los animales y sus hábitats

A look at the connection between how animals live and where they make their homes.

Una princesa con un vestido rosa sostiene una rana junto a un arroyo con un castillo, árboles y gente al fondo. En primer plano camina un zorro con un sombrero con una pluma roja.

Domain

Fairy Tales/Cuentos de hadas

What do fairy tales have to teach us about how stories are told?

Ilustración que muestra una escena histórica con soldados, veleros y hombres con atuendo colonial discutiendo en el interior.

Domain

A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos

The story of the birth of the United States out of the 13 Colonies.

Los pioneros con carros cubiertos y caballos señalan hacia un valle con tipis nativos, fogatas y humo elevándose. Un oso se encuentra sobre una roca y se ven montañas al fondo.

Domain

Frontier Explorers/Exploradores de la Frontera

The story of the journey west from the newborn U.S.A. to find the Pacific Ocean.

Un hombre con un hacha se encuentra entre paisajes exagerados con un castillo, un tren con humo, un buey azul y una persona con un mono observando la escena.

Domain

Fairy Tales and Tall Tales/Cuentos de hadas y cuentos exagerados

Learn about exaggeration and characterization on the frontier.

Ilustración de un paisaje vibrante que presenta diversos monumentos culturales, incluidos templos, palacios, pirámides, una escena de elefantes, montañas distantes y fuegos artificiales en el cielo.

Domain

Early Asian Civilizations/Antiguas civilizaciones de Asia

Tour the world of classical civilization, starting with India and China.

Ilustración que muestra la antigua Grecia con un anfiteatro, estatuas, soldados con armadura, un barco y un templo en una colina rodeada de vegetación.

Domain

Ancient Greek Civilization/La civilización griega antigua

The tour continues with the philosophy and politics of Greece.

Illustration of various mythological scenes including greek gods, a flying horse, and roman architecture under a sunny sky.

Domain

Greek Myths/Mitos griegos

Dive deep into the characters and storytelling of classic myths.

Ilustración de una batalla entre barcos británicos y estadounidenses cerca de un fuerte. El barco británico está a la izquierda con soldados, mientras que el barco estadounidense está a la derecha. La gente porta una gran bandera estadounidense en primer plano.

Domain

The War of 1812/La guerra de 1812

Learn about America’s “Second War for Independence.”

Un paisaje nevado con un zorro durmiendo en una madriguera, gente corriendo y andando en bicicleta por un sendero y árboles que muestran los cambios estacionales.

Domain

Cycles in Nature/Los ciclos de la naturaleza

Introducing the natural cycles that make our lives possible.

Ilustración de carros cubiertos tirados por caballos a lo largo de un sendero en el desierto, con un coyote aullando sobre una alta formación rocosa y un tren de vapor al fondo.

Domain

Westward Expansion/La expansión hacia el oeste

Why did pioneers go west? What happened to the people who were there?

Ilustración de un jardín vibrante con flores, abejas, mariposas, una oruga en una hoja, una crisálida y un apicultor que maneja una colmena junto a un estanque.

Domain

Insects/Los insectos

Lay the grounds for animal classification by looking at solitary and social insects.

Ilustración de una escena histórica con gente escuchando el discurso de un hombre en una plataforma. Al fondo se ve un río y una procesión de personas. En primer plano hay un documento de proclamación.

Domain

The U.S. Civil War/La Guerra Civil de los Estados Unidos

Begin to grapple with U.S. history’s central crisis over slavery.

Una escena en la que aparece una persona explicando un diagrama anatómico humano, otra persona haciendo ejercicio, una cadena de ADN, campos y un microscopio de fondo.

Domain

Human Body: Building Blocks and Nutrition/El cuerpo humano: componentes básicos y nutrición

A deeper dive into the digestive system and the nutrition process.

Un grupo diverso de personas se encuentra en un muelle con vistas a un bullicioso puerto con barcos y un gran barco, un avión volando por encima y la Estatua de la Libertad al fondo.

Domain

Immigration/La inmigración

Why did people immigrate to the United States, and what did they find here?

Women in early 20th-century clothing march with signs for voting rights and justice in front of a yellow bus labeled "Cleveland Ave.," making history that can inspire lessons in a K–2 language arts curriculum.

Domain

Fighting for a Cause/Luchar por una causa

How people can do extraordinary things to make the world better for everyone.

Dos ratones antropomórficos en un bote de remos, uno de ellos remando, navegan por un río tranquilo rodeado de exuberante vegetación y árboles. El ratón que rema lleva una chaqueta azul y el otro ratón parece conversar.

Unit 1

Classic Tales: The Wind in the Willows/Cuentos Clásicos: El viento en los sauces

A deep dive into character, theme, and POV in classic stories from around the world.

Ilustración de un jaguar, una garza, una rana roja, una tortuga y un pez en un paisaje vibrante con montañas y vegetación bajo un cielo soleado.

Unit 2

Animal Classification/La clasificación de los animales

How do we classify different animals by their appearance and behavior?

Ilustración de una figura humana que muestra la anatomía interna, incluidos el cerebro, los pulmones, el corazón, el sistema digestivo y una articulación de la cadera resaltada sobre un fondo degradado.

Unit 3

The Human Body: Systems and Senses/El cuerpo humano: sistemas y sentidos

Let’s take a closer look at how the skeleton, muscles, and nervous system all work.

Un ángel se arrodilla ante una mujer sentada en un sofá dorado encima de un templo en una noche estrellada. Unas escaleras conducen al templo en un paisaje montañoso.

Unit 4

The Ancient Roman Civilization/La civilización romana antigua

What is Rome’s greatest cultural contribution? In this unit, your students decide.

Ilustración de un perro saltando bajo un árbol, persiguiendo una abeja, con una mesa en primer plano sosteniendo una jarra y vasos de limonada. El sol brilla intensamente en el cielo.

Unit 5

Light and Sound/La luz y el sonido

The science behind all the ways we see and hear the world.

Un barco vikingo con una proa en forma de dragón navega en el océano bajo un cielo azul con nubes. El barco tiene una sola vela grande y varios escudos recubren sus costados.

Unit 6

The Viking Age/La era vikinga

An immersive narrative experience about what life was like in Viking communities.

Ilustración de una escena espacial con varios planetas y anillos sobre un fondo de estrellas. Dos planetas grandes dominan el primer plano y se ven planetas más pequeños al fondo.

Unit 7

Astronomy: Our Solar System and Beyond/Astronomía: nuestro sistema solar y más allá

More about our universe, including a writing project about daily life on a space station.

Una persona sentada en el borde de un acantilado con vistas a un vasto paisaje desértico con nubes arremolinadas en el cielo.

Unit 8

Native Americans: Regions and Cultures/Los nativos americanos: regiones y culturas

How did Native American nations change their way of life in different parts of the world?

Ilustración de un velero en el océano con la costa este de América del Norte visible a la izquierda.

Unit 9

Early Explorations of North America/La exploración europea de América del Norte

What was it like to sail to North America with the early European explorers?

Una pintura representa una escena del siglo XVII con colonos, un velero al fondo y un hombre conduciendo un carro tirado por caballos cargado de mercancías. Se ve a otras personas descargando y trabajando cerca.

Unit 10

Colonial America/La época colonial en los Estados Unidos

A study of the very different ways of life in the different pre-U.S. colonies.

Ilustración que muestra el ciclo de la vida: un esqueleto en el suelo, un pájaro posado en una cerca, otro pájaro en una planta y un ave rapaz más grande arriba, todos conectados por flechas circulares.

Unit 11

Ecology/Ecología

Students keep ecologist’s journals to learn about our world and how best to protect it.

Una mano alcanza una manzana verde en una rama. Cerca hay una brújula, un termómetro, un lápiz, notas musicales y un granero rojo sobre un paisaje cubierto de hierba.

Unit 1

Personal Narratives/Narrativas personales

Read stories of personal experience… and learn to reflect on your own.

Ilustración medieval que representa un grupo de figuras con armadura a la entrada de un alto castillo gris con puente levadizo, adornado con banderas y rodeado por un paisaje decorado y fondos ornamentados.

Unit 2

Empires in the Middle Ages/Los imperios en la Edad Media, parte 1 & Los imperios en la Edad Media, parte 2

Explore the medieval history of Europe and the Middle East.

Ilustración dorada de un dragón con alas sobre fondo beige, rodeado de diversos elementos decorativos como estrellas, hojas y estampados abstractos.

Unit 3

Poetry/Poesía

Study the poetry of many nations using licensed text anthologies, and begin to write your own.

Vintage styled illustrations of a microscope, an old telephone, and a clock on textured background with geometric patterns.

Unit 4

Eureka! Student Inventor/¡Eureka! Estudiante inventor

Transform the class into a lab for students to build and present inventions.

Formaciones rocosas en un paisaje desértico con capas vibrantes y arremolinadas de arenisca roja, naranja y amarilla bajo un cielo parcialmente nublado.

Unit 5

Geology/Geología

Plate tectonics, volcanoes, erosion: all the forces that shape the Earth.

Una imagen abstracta y colorida que representa varias formas geométricas de edificios sobre un fondo azul estampado.

Unit 6

Contemporary Fiction with excerpts from The House on Mango Street/Ficción Contemporánea con Fragmentos de La Casa en Mango Street

Explore The House on Mango Street… and write a book while doing it.

Cuadro que representa a un hombre y un niño tocando una gran campana en una torre, con espectadores al fondo y un cartel de "LIBERTAD" visible.

Unit 7

American Revolution/La Revolución estadounidense

Why did America seek independence? Let’s investigate the causes and effects.

Un pequeño bote de remos con tres personas navega por mares agitados mientras dos grandes barcos luchan al fondo, con humo y fuego visibles.

Unit 8

Treasure Island/La Isla del Tesoro

How dSeek the treasure of plot in this detailed study of a classic fiction adventure.

Unit 1

Personal Narratives/Narrativas personales

Through writing and sharing their writing, students begin to identify themselves as writers.

Unit 2

Early American Civilizations/Las primeras civilizaciones americanas

Students craft a codex to explain the rise and fall of the Maya, Aztec, and Inca people.

Dos jinetes medievales a caballo, uno de ellos con la espada en alto, avanzan por un terreno rocoso. El fondo presenta un paisaje brumoso bajo un tono violeta.

Unit 3

Poetry/Poesía

Students close read many forms of poetry… and learn to write them.

Collage ilustrado con un paraguas, un cuervo, un sextante náutico, estrellas, una luna creciente y una brújula sobre un fondo beige texturizado.

Unit 4

Adventures of Don Quixote/Las Aventuras de Don Quijote

Was Don Quixote right to fight the windmill? In this full-length novel study, students decide.

Unit 5

The Renaissance/El Renacimiento

Exploring the art and literature of the Renaissance through the works of its masters.

Tres hombres vestidos con ropa de época examinan una gran hoja de papel dentro de una imprenta. Un hombre parece llevar un delantal, mientras que otro señala el papel y el tercero observa de cerca.

Unit 6

The Reformation/La Reforma

How did the printing press transform the religion and society of Europe?

Patrón botánico morado y lila con hojas, plantas y formas abstractas, incluida una luna creciente y estrellas, sobre un fondo violeta oscuro.

Unit 7

William Shakespeare’s A Midsummer Night’s Dream/Sueño de Una Noche de Verano de William Shakespeare

Students enter the world of Shakespeare by reading, designing, and acting out his work.

Retrato en tonos sepia de una joven de pelo largo, con un collar de pedrería y un chal drapeado.

Unit 8

Native Americans/Los nativos americanos

How did the policies of the U.S. government impact Native American culture and lives?

Una lupa sobre documentos que contienen una pintura de paisaje de montañas, un dibujo con la etiqueta "Raptor Claw" y una nota adhesiva con la "Pista n.° 2". También se ven un sobre y una insignia exterior.

Unit 9

Chemical Matter/Química

Students use knowledge of chemistry to solve a mystery.

Print & digital components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

Component

FORMAT

Knowledge (Conocimientos) Teacher Guides (K–2)

Knowledge Strand Teacher Guides contain Amplify CKLA’s cross-curricular read-alouds and application activities, all of which are standards-based to build mastery of content knowledge and literacy skills. There is one Teacher Guide per Knowledge Domain.

Print and digital

Knowledge Image Cards (K–2)

Amplify Caminos includes Image Cards for each Knowledge Domain to bring each topic to life through vivid visuals.

Print and digital

Knowledge Flip Books (K–2)

Projectable Flip Books are provided to accompany the read-alouds in each Knowledge Domain.

Digital

Teacher Guides (3–5)

Teacher Guides for grades 3–5 units are based on content-rich topics and incorporate reading, writing, speaking, and listening skills in the context of background knowledge. There is one Teacher Guide per unit.

Print or digital

Teacher Resource Site (K–5)

The program includes a one-stop-shop website for lesson projections, digital versions of all Amplify Caminos materials, lesson planning resources, multimedia (such as eBooks), and more.

Digital

Professional Learning Site (K–5)

The Professional Learning site includes training materials, best practices, and other resources to develop program expertise. Access professional development anywhere, anytime.

Digital

Component

FORMAT

Knowledge (Conocimiento) Activity Books (K–2)

Activity Books provide students with the opportunity to deepen world and word knowledge by responding to text in a diversity of ways.

Print

Student Readers (3–5)

Student Readers serve as content-rich anchor texts for each unit. Units such as Poetry and Contemporary Fiction feature authentic texts originally written in Spanish.

Activity Books (3–5)

Activity Books in grades 3–5 provide daily opportunities for students to hone reading and writing skills within the context of each unit.

Print and digital

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

Overview Video

The Lawrence Hall of Science

Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Carefully crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.
The logo for The Lawrence Hall of Science, University of California, Berkeley, features blue text on a light background and is recognized by educators using Amplify Science for middle school science programs.

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

DO

First-hand investigations are an important part of any science classroom, and Amplify Science has students getting hands-on in every unit—from building models of protein molecules to experimenting with electrical systems.

TALK

Student-to-student discourse and full-class discussions are an integral part of the program. Students are provided with numerous opportunities to engage in meaningful oral scientific argumentation, all while fostering a collaborative classroom environment.

READ

Students read scientific articles, focusing their reading activities on searching for evidence related to their investigation and, importantly, on asking and recording questions as they read through fascinating texts on 21st-century topics.

WRITE

Following real-world practices, students write scientific arguments based on evidence they’ve collected, making clear their reasoning about how a given piece of evidence connects to one of several claims.

VISUALIZE

By manipulating digital simulations and using modeling tools to craft visualizations of their thinking— just as real scientists and engineers do—students take their learning far beyond the confines of what they can physically see in the classroom in an exciting and authentic way.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to address 100% of the NGSS, and support students in mastering the standards.

Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Unit types

While every unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, each unit also serves a unique instructional purpose.

In grades 6–8:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Unit sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.

In fact, our multi-modal instruction offers more opportunities for students to construct meaning, and practice and apply concepts than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

Three columns listing education curriculum topics for grades 6, 7, and 8, focusing on science themes such as microbiomes, mars geology, and harnessing human energy.

Program components

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Amplify Science TG

Hands-on learning is an essential part of Amplify Science, and is integrated into every unit. Students actively participate in science, playing the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them. Every unit includes hands-on investigations that are critical to achieving the unit’s learning goals.

A young person wearing gloves looks through a microscope at a table with laboratory supplies, including bottles, slides, and a tray, against a plain blue background.

More hands-on with Flextensions:
Hands-on Flextensions are additional, optional investigations that are included at logical points in the learning progression and give students an opportunity to dig deeper if time permits. These activities offer teachers flexibility to choose to dedicate more time to hands-on learning. Materials referenced in Hands-on Flextension activities will either be included in the unit kit or are easily sourced. Supporting resources such as student worksheets will be included as downloadable PDF files.

Our kits include enough materials to support 200 student uses. In other words, teachers can easily support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean teachers just grab the tub they need and then put it all back with ease.

Amplify Science California supports 3-D learning with more materials than any other program.

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

In grades 6–8, one copy of the Student Investigation Notebook is included in each unit’s materials kit for use as a blackline master. Each notebook is also available as a downloadable PDF on the Unit Guide page of the digital Teacher’s Guide.

Two booklets titled "El clima cambiante de la Tierra: la desaparición del hielo" and "Earth’s Changing Climate: Vanishing Ice" with landscape illustrations on the covers.

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.

Explore your print samples

With your Amplify Science print samples, you’ll find unit-specific Teacher’s References Guides and Student Investigation Notebooks for each grade level.

A note about the Teacher’s Reference Guides:

It’s important that your committee sees the full breadth and depth of our instruction. For that reason, we provided a copy of each of our unit-specific Teacher Reference Guides.

Rest assured that teachers do not use these robust reference guides for day-to-day teaching. For that, we have a hands-free TG!

A laptop screen shows an energy simulation, with surrounding text and diagrams explaining the Earth's system and energy flow.
  • Teacher Reference Guide: Unlike a typical TG that requires a series of supplemental books to support it, our encyclopedic reference guide is chock-full of everything a teacher needs to fully implement our program and the NGSS.
  • Ready-to-Teach Lesson Slides: For daily instruction, teachers need their hands free. That’s why we created ready-to-teach lesson slides for every single lesson. What’s more, they are editable and include suggested teacher talk and point-of-use differentiation and other instructional tips. Click to learn more.

A note about the Materials Kits:

Hands-on learning is at the heart of Amplify Science, and is integrated into every unit. In order to make hands-on learning more manageable for busy teachers, Amplify Science materials are organized into unit-specific kits.

Stacked storage bins with labels, arranged neatly; caption notes they are a sample and may not reflect actual quantities or sizes.

Our unit-specific kits:

  • Include more materials — We give teachers enough materials to support 200 student uses.
  • Are more manageable — Unlike other programs that require large groups of students to share limited sets of materials, our kits include enough to support small groups of 4–5 students.
  • Include supportive videos — Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What comes in each grade level kit? Click the links below to see the grade-specific lists of all materials included in each kit.

Access your digital samples

Explore as a teacher

Follow these instructions to explore the Amplify Science digital platform as a teacher.

  • Click the Access Amplify Science Platform button below and bookmark it.
  • Select Log in with Amplify.
  • Enter the username: t1.jeffersoncounty@demo.tryamplify.net
  • Enter the password: Amplify1-jeffersoncounty
  • Click the Science icon.
  • Click on the Program Menu in the top center of the screen and select any grade.
  • Select any unit.

To help familiarize yourself with navigating the digital platform,watch the below navigational video.

Explore as a student

Follow these instructions to explore the Amplify Science digital platform as a student.

  • Click the Access Amplify Science Platform button below and bookmark it.
  • Select Log in with Amplify.
  • Enter the username: s1.jeffersoncounty@demo.tryamplify.net
  • Enter the password: Amplify1-jeffersoncounty
  • Click the Science icon.
  • Click on the Grade Menu in the top center of the screen and select any grade.
  • Select any unit.

Resources to support your review

enVision-NEW

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Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Classroom
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 13: Movie Time
Lesson 4: Understand Division with FractionsUnit 4
Lesson 13: Movie Time
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 6 Fill the Gap
Lesson 7: Solve Problems with Rational NumbersUnit 4
Lesson 3: Flour Planner

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 4: Order in the Class

Chapter 3: Numeric and Algebraic Expressions

Lesson 4: Write Algebraic ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 6: Generate Equivalent Expressions Unit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 7: Tunnel Travels
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 16: Subway FaresTake Away (coming soon!)

Chapter 5: Understand and Use Ratio and Rate

Lesson 1: Understand RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Generate Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 4: Represent and Graph RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Compare Unit RatesUnit 3
Lesson 6: Soft Serve

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 9: Lucky Duckies

Chapter 7: Solve Area, Surface Area, and Volume Problems

Lesson 1: Find Areas of Parallelograms and RhombusesUnit 1
Lesson 3: Exploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Lesson 5: Represent Solid Figures Using NetsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Display, Describe, and Summarize data

Lesson 2: Summarize data Using Mean, Median, and ModeUnit 8 
Lesson 11: Toy Cars
Lesson 4: Display Data in Frequency Tables and HistogramsUnit 8 
Lesson 5: The Plot Thickens
Lesson 7: Summarize Data DistributionsUnit 8 
Lesson 3: Minimum Wage

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Classroom
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 6: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 10: Integer Puzzles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Chapter 2: Analyze and Use Proportional Relationships

Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 6: Two and Two
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 3: Analyze and Solve Percent Problems

Lesson 1: Analyze Percents of Numbers
Lesson 2: Connect Percent and Proportion
Unit 4
Lesson 1: Mosaics
Lesson 4: Solve Percent Change and Percent Error ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Solve Markup and Markdown ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 4: Generate Equivalent Expressions

Lesson 3: Simplify ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 4: Expand ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 6: Add Expressions
Lesson 7: Subtract Expressions
Unit 6
Lesson 10: Collect the Squares

Chapter 5: Solve Problems Using Equations and Inequalities

Lesson 4: Solve Inequalities Using Addition or Subtraction
Lesson 5: Solve Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 6: Solve Two-Step Inequalities
Lesson 7: Solve Multi-Step Problems
Unit 6
Lesson 16: Shira the Sheep

Chapter 6: Use Sampling to Draw Inferences About Populations

Lesson 1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Draw Inferences from DataUnit 8 
Lesson 10: Crab Island
Lesson 3: Make Comparative Inferences About Populations
Lesson 4: Make More Comparative Inferences About Populations
Unit 8
Lesson 10: Crab Island

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines Lesson 7: Will It Fit?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It?
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 7
Lesson 3: Measuring Around
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 9: Area Challenges

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Classroom
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 4: Root Down
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 3: Power Pairs
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 2: Analyze and Solve Linear Equations

Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 6: Connect proportional Relationships and SlopeUnit 3
Lesson 4: Flags
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 4: Flags

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 3: Robots
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6  
Lesson 11: Finding Associations

Chapter 5: Analyze and Solve Systems of Linear Equations

Lesson 2: Solve Systems by GraphingUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Congruence and Similarity

Lesson 1: Analyze TranslationsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 2: Analyze Reflections
Lesson 3: Analyze Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 6: Describe DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 7: Understand Similar FiguresUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 9: Interior and Exterior Angles of TrianglesUnit 1
Lesson 12: Puzzling It Out

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 2: Find Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones

Algebra 1

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Lesson 1-3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1-4: Literal Equations and FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Functions

Lessons 2-1 to 2-3 Forms of Linear EquationsSubway Seats
Five Representations

Topic 3: Linear Functions

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise-Defined FunctionsPumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-2: Exponential FunctionsCarlos’s Fish
Revisiting Visual Patterns, Part 1
Lesson 6-4: Geometric SequencesSequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionQuadratic Visual Patterns
Lesson 8-2: Quadratic Functions in Vertex FormOn the Fence
Plenty of Parabolas
Lesson 8-5: Linear, Exponential and Quadratic ModelsDetroit’s Population, Part 1
Detroit’s Population, Part 2
Sorting Relationships
Lesson 8-3: Quadratic Functions in Standard FormRobot Launch
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets

Topic 9: Solving Quadratic Equations

Lesson 9-2: Solving Quadratic Equations by FactoringTwo for One
Parabola Zapper
Shooting Stars
Lesson 9-5: Completing the SquareSquare Tactic
Lesson 9-6: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root functionPlane, Train, and Automobile
Lesson 10-3: Analyzing Functions GraphicallyCraft-a-Graph
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Getting started with Amplify Science California

Dear Elk Grove K–5 teachers,

Welcome to the Amplify Science California family! Below you’ll find everything you need to successfully kick off your science instruction this year.

– Your California team

Amplify Science - Student reading a book remote & hybrid

Program introduction

Onboarding videos

To start using Amplify Science California quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to quickly start using Amplify Science in your classroom and navigating the digital Teacher’s Reference Guide.

Program pacing

Hands-on materials kit

The following videos give you a quick look into our Amplify Science California classroom kits. For each grade level, you’ll find a “How to unpack your kit” video for the first unit of the program.

Teacher digital resources

Watch this video to understand the basic organization of the digital teacher experience and how to navigate the platform.

Want some practice? Download this exploration guide to practice toggling between teacher view, presentation view, and student view.

Our new digital experience also makes it easy to assign work through our LMS integrations.

Our new digital experience also makes it easy to view student work in real time.

Student digital resources

Watch this video to take a peek at the various student digital resources available to your class.

Use this Student Login Click Path document to support students and families logging in from home.

Essential resources

Your Teacher’s Reference Guide is a tremendously rich resource. It’s also packed! That’s why teachers getting started with Amplify Science love our condensed Unit Guides, lesson planners, and device calendars.

Unit Guides

These short and sweet guides provide a big picture overview of each unit’s phenomenon and storyline, the key questions that guide learning, and how the storyline develops from chapter to chapter. We even spoil the big reveal at the end by pointing out ahead of time what students figure out throughout the unit.

A laptop displays an educational website titled "The Earth System" with lesson modules; a printed Teacher’s Guide with a similar cover design is shown beside it.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Lesson planners

Our lesson planners give you easy access to direct links to key resources within the program.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Teacher-provided materials

Your Amplify Science classroom kit includes a wide variety of consumable and non-consumable items. In fact, each kit contains enough non-consumables to support a class of 36 students working in small groups, and enough consumables to support 72 student uses.

In addition to these provided items, there are some teacher-provided items required in each unit. For a consolidated list of teacher-provided items per unit, download the appropriate PDF below.

Device calendars

Our at-a-glance device calendars make device management and sharing between grade-level colleagues a breeze. With one calendar per unit (beginning in grade 2), you can easily see which lessons utilize devices.

Approach to assessment

The Amplify Science California assessment system is grounded in the principle that students benefit from regular and varied opportunities to demonstrate understanding through performance. In practice this means that conceptual understanding is revealed through engagement in the science and engineering practices.

Assessment types at a glance

In your classroom, you’ll be utilizing a variety of formative (F) and summative (S) assessments:

  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.
  • Pre-Unit Assessments (F): Discussion, modeling, and written explanations to gauge students’ knowledge.
  • On-the-Fly Assessments (OtFA) (F): Multi-dimensional tasks integrated regularly throughout the lessons. OtFA opportunities were designed to help teachers make sense of student activity during a learning experience (e.g., student-to-student talk, writing, and model construction) and to provide evidence of how a student is coming to understand core concepts and developing dexterity with SEPs and CCCs. Three-dimensional assessment opportunities make measuring progress toward NGSS learning goals possible.
  • Self-assessments (F): One per chapter; brief opportunities for students to reflect on their own learning, ask questions, and reveal ongoing wonderings about unit content.
  • Critical Juncture Assessments (F): Variety of multidimensional performance tasks intended to assess student progress, occurring at the end of each chapter. Examples include writing scientific explanations, engaging in argumentation, developing and using models, and designing engineering solutions. Based on student performance on the assessment, teachers have access to recommendations for targeted student interventions, suggested follow-ups, or differentiating classroom instruction.
  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.

Pre-Unit Assessments

Most Pre-Unit assessments are embedded within an activity of the first lesson of a unit. In kindergarten and grade 1, the Pre-Unit assessment (as well as the End-of-Unit assessment) is oral. In grades 2–5 they are typically written. Refer to the Digital Resources area of the Lesson Brief for materials needed for the assessment activity, such as the Clipboard Assessment Tool (K–1 only), copymasters (grades 2–5 only), and an Assessment Guide that will help you interpret and leverage students’ responses.

If you and your students have Interactive Classroom licenses, students can complete their assessment digitally instead of using the copymaster.

When students complete the assessment pages digitally, you’ll be able to review their work on the View Work page.

Critical Juncture Assessments

Critical Juncture assessments typically occur towards the end of each chapter. The Materials and Preparation section will indicate when there is a Critical Juncture to prepare for, but you can also tell when an activity is designed to be a Critical Juncture assessment by the hummingbird icon that will appear within it. Selecting the hummingbird icon will tell you how to assess students’ understanding with the activity, and how to tailor instruction based on what you find. If you need guidance on the “answers” to the assessment activity, refer to the “Possible Responses” tab.

If you are using Classroom Slides or Interactive Classroom, you’ll see a hummingbird or “Critical Juncture” label in the bottom right corner of one of the slides of the activity.

The notes about assessing understanding and tailoring instruction are located in the notes of that slide (on the right-hand side of the Teacher’s Guide tab in the Interactive Classroom experience; underneath the slide in Classroom Slides).

End-of-Unit Assessments

End-of-Unit assessments are typically the last lesson of a unit. In some units, these are two-part assessments that take place over two lessons. The easiest way to find the End-of-Unit assessment is to skim through the lesson titles. Lessons containing End-of-Unit assessments will always have that noted in the title.

Like the Pre-unit assessment, you can find materials for the End-of-unit assessments in the Digital Resources area of the Lesson Brief.

On-the-Fly Assessments

These embedded assessments leverage the formative opportunities in the learning experience students are already engaged in, such as creating models, analyzing data, actively reading, conducting investigations, and more. Refer to the Critical Juncture section above for guidance on finding information about using them.

Unit-level assessment information

You can find overall information about an individual unit’s assessments in the “Assessment System” resource, which is located within the Teacher References section on the Unit Overview page.

The Assessment System resource contains a comprehensive list of all of the assessment opportunities in the unit, including the assessment’s location, a brief indication of what students are doing in that particular activity, what type of assessment it is, which Disciplinary Core Ideas, science and engineering practices, and cross-cutting concepts it specifically addresses, and the kind of evaluation guidance you can expect for it. If you are in a kindergarten or first grade unit, you will also find information on the Clipboard Assessment Tool (used for supporting oral assessment) in this section.

If you’re interested in focusing on information related to the unit’s Critical Juncture and On-the-Fly assessments in particular, check out the “Embedded Formative Assessments” resource, also located within the Teacher References section on the Unit Overview page.

Three-dimensional assessment connections

All assessment opportunities within Amplify Science California include clear labeling around the Disciplinary Core Ideas (DCIs), Crosscutting Concepts (CCCs), and Science and Engineering Practices (SEPs) to help teachers connect formative and summative assessments to specific NGSS dimensions.

Coming soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. In fact, on this page is a list of new features you can look forward to using during the 2023-2024 school year.

FAQs

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California and a significant number of the California English Language Development Standards and Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Amplify Science California does indeed feature some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional, cyclical, and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

Yes. Rather than separating performance expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain Disciplinary Core Ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and applied what they’ve learned in a different context.

For example:
In the Light Waves unit, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on Disciplinary Core Ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.

Just as scientists gather evidence from many types of sources, students in the Amplify Science California program gather evidence not just by making physical models, but also by making and interpreting digital models; reading texts; watching videos; and analyzing photographs, maps, and data sets. By doing do, students are provided with more opportunities than any other program to use all of the practices called out in the California NGSS Framework:

  • Asking questions
  • Developing and using models
  • Planning and carrying out investigations
  • Analyzing and interpreting data
  • Using mathematics and computational thinking
  • Constructing explanations
  • Engaging in arguments from evidence
  • Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K–5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6–8

Each 6–8 grade features three types of units: LaunchCore, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math, in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facilities with each of the grade appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built-in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, etc. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following time frames:
Lessons in grades K–1 are designed for 45 minutes of science instruction.
Lessons in grades 2–5 are designed for 60 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 minutes of science instruction every day at K–1, or 60 minutes per day at 2–5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K–2, and 88 lessons to address 100 percent of California NGSS at grades 3–5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Each lesson of every Amplify Science California unit includes point-of-use differentiation strategies and embedded teacher and student supports for diverse learners, including English learners, students who need more support, and students who are ready for more challenge. These strategies and methods ensure that all students have access to the same content as their peers.

Two notable categories of suggested modifications are:

  • English-learner-specific strategies such as English/Spanish glossaries, native language supports, and provision of cognates and other content-specific language scaffolds are provided in each unit.
  • Relatively small alterations and additional scaffolds that provide students with greater access to the content.
    These types of scaffolds benefit all learners and include suggestions such as providing graphic organizers, practice with multiple-meaning words, etc.

With Amplify Science California, the use of technology is always purposeful.

For example:

  • The curriculum has a strong emphasis on literacy, with students reading and analyzing informational texts, and writing scientific explanations and arguments.
  • Digital elements are gradually introduced to students in grades 2–3, with the greatest use of digital elements taking place in grades 4–5, as the phenomena at these grades become more challenging to observe directly.
  • The curriculum’s readers and interactive notebook pages are available in both print and digital across all K–5 units.

This curriculum addresses a significant number of the standards as they pertain to science. Throughout each unit, students read science texts, engage in science talk and argumentation, and write evidence-based science explanations. The curriculum supports vocabulary, language, and reading comprehension development. Students also use measurement tools with precision, record and analyze data, make sense of scientific phenomena, and develop solutions to problems experienced in the real world.

Digital questions

Teacher Support notes including sample teacher talk, student responses, pedagogical support, and possible student responses are provided within your student-facing slides. Simply click “Teach” and reference your private Teacher Guide tab. Students will only see the lesson slides that you are presenting.

You, the teacher, must “Start class” to launch the presentation tab. (Remember, without the presentation tab, students would be able to see your teacher notes.)

Clicking “Starting class” also brings students to the correct slide, which is particularly important for young students who are learning to navigate.

Teachers can either press the “End class” button in the bottom right corner of the slide navigation, or they can simply close the presentation tab.

Clicking “End class” also enables students to navigate through the lesson on their own. That means they’ll be able to return to slides and books to review content, to the Sims and Modeling Tools to replay them, or to notebook pages to update their work.

You can click on the “Student preview” option in the bottom right corner (within the menu that opens when you click the three dots) to open a new browser tab where you can preview the student view using your teacher account.

Any work you complete in this student preview (or elsewhere in the teacher experience) will be automatically saved to your account.

Looking for help?

For login or technology issues, please submit an EGUSD Heat ticket. For curriculum and pedagogical questions, please refer to the support resources below.

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

To reach our pedagogical team, use our live chat within your program, call (800) 823-1969, or email edsupport@amplify.com

Timely technical and program support

Our technical and program support is included and available from 4 a.m. to 4 p.m. PT, Monday through Friday, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

For your most urgent questions:

  • Use our live chat within your program.
  • Call our toll-free number: (800) 823-1969.

For less urgent questions:

Connect with other teachers

Our Amplify Science Facebook group is a community of Amplify Science educators from across the country. It’s a space to share best practices, ideas, and support on everything from implementation to instruction. Join today.

How comprehension fits into effective literacy instruction

Many of us grew up doing a classroom activity called “reading comprehension,” in which we would read a short text about, let’s say, sea turtles, then answer multiple-choice questions designed to demonstrate how much of that reading we comprehended. The next time, the reading might’ve been about the history of jazz.

Nothing against sea turtles or Dizzy Gillespie, but our approach to reading comprehension has evolved—and that’s thanks to the Science of Reading.

Let’s take a look at what we know now about how comprehension works and how to make it part of the best possible literacy instruction.

The role of comprehension in literacy instruction

Comprehension is one of the five foundational skills in reading and one of the two key components of the Simple View of Reading.

This framework lays out the two fundamental skills required for reading with comprehension:

  1. Decoding—the ability to recognize written words
  2. Language comprehension—understanding what words mean

In other words, reading proficiency is a product of word recognition and language comprehension.

The Reading Rope layers complexity onto this view, providing a visual metaphor of reading as a complex skill combining decoding skillslanguage comprehensionbackground knowledgevocabulary, and more.

In this context, comprehension refers to the ability to understand and make meaning from written text. It involves not only accurately decoding and recognizing words, but also grasping the deeper meaning, intent, and implications of the text.

Product vs. process: The missing link in comprehension

Historically, comprehension instruction focused on the products of comprehension, rather than on the process. Students could demonstrate that they understood what they just read about sea turtles, but how did students understand it? What were their brains actually doing at the time? Answering those questions can help us better support students.

To do that, let’s look at the students who are not the best comprehenders—even though they have solid word recognition, vocabulary, and background knowledge. What’s missing?

After you read a piece of text, you’ll probably not recall its precise wording, but generally, you’ll remember the general idea. Doing so requires building a structure in your mind that researchers now call a “mental model.” The process of building a mental model is a sort of micro-comprehension.

Weak comprehenders build weak models. So when asked to analyze a character or make a prediction, their answers are not as strong as those of more advanced comprehenders.

We now know that students need four critical skills to improve their mental modeling/micro-comprehension—and thus their overall comprehension.

  1. Interpreting the usage of anaphoras (like she, him, them).
  2. Understanding the use of markers to signal ways that the text fits together — connectives (like sothoughwhenever), structure cues, and directions.
  3. Supplying gap-filling inferences. (Writers often make assumptions about what can be left unstated, and weaker readers who fail to make these gap-filling inferences wind up with gaps in their mental models.)
  4. Monitoring comprehension as they read. (When something doesn’t make sense, strong readers stop, re-read, and try to figure it out, while weaker readers just keep going, failing to notice that they don’t understand.)

How background knowledge helps language comprehension

The Science of Reading demonstrates the importance of systematic and explicit phonics instruction.

But students do not have to learn phonics or decoding before knowledge comes into the equation.

“The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast. Background knowledge serves as the scaffolding upon which readers build connections between new information and what they already know. Students with average reading ability and some background knowledge of a topic will generally comprehend a text on that topic as well as stronger readers who lack that knowledge.

What we know about knowledge and comprehension should inform instruction. “I think most, if not every, theory of reading comprehension implicates knowledge,” says Cabell. “But that hasn’t necessarily been translated into all of our instructional approaches.”

So, a central question is: How can we help build background knowledge—and thus comprehension?

Broadly, we can work to use literacy curricula that intentionally and systematically builds knowledge as they go.

We can also be “intentional throughout our day in building children’s knowledge,” says Cabell, offering the example of choosing books to read aloud. She suggests we ask not just “‘Do they have the background knowledge to understand something,’ but rather ‘Can what I’m reading aloud to them build background knowledge?’”

Cabell also suggests being a little ambitious in your read-alouds: “Read aloud books a couple of grade levels above where [students are] reading right now, so that they’ll be able to engage with rich academic language.”

Comprehension instruction in the classroom

So, what does this type of comprehension instruction look like? Let’s explore a few science-informed examples:

  1. Systematically build the knowledge that will become background knowledge. Use a curriculum grounded in topics that build on one another. “When related concepts and vocabulary show up in texts, students are more likely to retain information and acquire new knowledge,” even into the next grades, education and literacy experts Barbara Davidson and David Liben say. “Knowledge sticks best when it has associated knowledge to attach to.”
  2. Present instruction that engages deeply with content. Research shows that students—and teachers, too—actually find this content-priority approach more rewarding than, in Davidson and Liben’s words “jumping around from topic to topic in order to practice some comprehension strategy or skill.”
  3. Support students in acquiring vocabulary related to content.  Presenting key words and concepts prior to reading equips students to comprehend the text more deeply. Spending more time on each topic helps students learn more topic-related words and more general academic vocabulary they’ll encounter in other texts.
  4. Use comprehension strategies in service of the content. While building knowledge systematically, teachers can use proven strategies—such as “chunking” and creating graphic organizers—to develop students’ skills for understanding other texts.
  5. Use discussions and writing to help students learn content. Invite students to share their interpretations, supporting them in articulating their thoughts and connecting with peers’ perspectives.
  6. Help students forge connections. Help students draw connections among lessons and units—and to their own experiences—as they grow their knowledge together.

Comprehension goes beyond reading the words on a page. It involves actively engaging with the text, connecting ideas, drawing inferences, and relating the content to one’s own knowledge and experiences. By making sure students have the skills and knowledge they need to comprehend a text, we can help them comprehend the world.

More to explore

S3-01: Science as the underdog, and the research behind it

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

Get ready for season 3 of Science Connections: The Podcast!

In our first episode, we unpack the research around our season theme of science as the underdog with Horizon Research, Inc. Vice President Eric R. Banilower and  Senior Researcher Courtney Plumley. Eric and Courtney dive into the research they’ve found and their experiences as former educators to show how science is often overlooked in K–12 classrooms. We discuss how the science classroom compares to other subjects in terms of time and resources, how schools are a reflection of society, and what’s needed to change science and its impact on a larger scale.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Courtney Plumley (00:00):

We asked teachers how much science, professional development, they’ve had in the last three years, and nearly half of elementary teachers said none.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. I am super-excited to be kicking off the third season with the show. This entire season will be exploring the theme of science as the underdog. And we’re gonna make the case for science, by showing how and why it can be used more effectively. In the coming episodes, we’re gonna talk about how science can be better integrated into other content areas like literacy and math, and explore some of the benefits that you might not be thinking about good science instruction. But first, science as the underdog. I bet some of you out there feel like science is the underdog in your community at school. I know I have at times. To kick off this season, I’m gonna talk to two people who really studied this question by looking at the state of science instruction across the US. Eric Banilower is Vice President of Horizon Research and Courtney Plumley is Senior Researcher at Horizon Research. Eric was the principal investigator and Courtney an author of the latest in a series of studies called “The National Survey of Science and Mathematics Education.” We’re gonna dive into the findings of their most recent report to see what the data’s showing us. Please enjoy my discussion with Eric Banilower and Courtney Plumley. Courtney, hello. And thank you so much for joining us.

Courtney Plumley (01:25):

Hi Eric. It’s nice to be here.

Eric Cross (01:26):

And Eric, welcome.

Eric R. Banilower (01:27):

We’re thrilled to be here, so thank you for having us.

Eric Cross (01:30):

I was reading through the report. Four hundred…a very thorough report, 471 pages, I think, as I got it?

Eric R. Banilower (01:37):

And that’s only one of the many reports from that study.

Eric Cross (01:40):

Yeah. You all have done your work, so I’m really excited to to talk to you about this. And on this season of the show, we’re exploring the theme of science as the underdog. And I think a lot of our listeners, we feel like science is an underdog either in their school or in their district. But you’ve actually done some research on this, in a 2018 study, “The National Survey of Science and Mathematics Education.” So I wanna talk about this report. But first I was hoping you can kind of set the stage. How did you come to work on this report, and then, big picture, what were you hoping to find out?

Eric R. Banilower (02:10):

So the 2018 study that you just mentioned was actually the sixth iteration of a series of studies dating back to 1977. And we collect data every decade or so—you know, plus or minus a few years. And really, what we’re trying to do is get a snapshot of what the science and math education system looks like in in the nation. So my role grew. I started working at Horizon in about 1998, after teaching high school for five years in California. And then going to graduate school. And right about that time, the company was doing the 2000 iteration of the survey. And I worked on it with the team here at Horizon. And then we did it again in 2012. And I had a much more prominent role in that study, and became the kind of leader of the study. And in 2018, the most recent version, we just did it again. So the goal of this study is really to kind of examine key aspects of the K–12 STEM education system. And the main audience of the work has traditionally been policy makers, researchers, and practitioners who work at the federal, state, and district level.

Eric Cross (03:30):

So this study, you took kind of a sample size, but it’s reflective of trends that we tend to see across the nation as a whole. Would that be fair to say?

Eric R. Banilower (03:38):

Yes, definitely it is. It is a random sample of schools in the country. So we start with a list of all the public and private schools in the nation, and then do a random sample of those schools, and then work really, really hard to recruit schools to agree to be in the study. And that has gotten harder every time we’ve done the study, for many understandable reasons. And then once we have schools on board, we sample teachers within schools. So we don’t even survey every teacher in a school. It’s really a sub-sample. So that we can make inferences about the nation as a whole.

Eric Cross (04:14):

Makes sense. And so Courtney, what did you find out about the time spent on science instruction in US schools?

Courtney Plumley (04:22):

So, I’m gonna talk about elementary teachers to begin with.

Eric Cross (04:26):

Because that was your past life, right?

Courtney Plumley (04:28):

I am a former elementary teacher, yeah. So that’s kind of where my head is. And that’s relatable for me. Right? So we asked teachers, like, how many days of the week or weeks of the year that they teach elementary school. And fewer than 20% teach science every day of the school year. They kind of do one or two things, for the most part. They teach a couple days a week or they teach every day of the week, but only for, like, maybe six weeks, and then they swap with social studies and they kind of do that across the school year. Which is really different from, like, math, right? We also asked elementary teachers, how often do they teach math, and it’s every day of the year. Then we also asked them how many minutes they teach when they’re teaching, and we kind of did the math to figure out, all right, if they taught science every day of the school year, how many minutes would it be in a single day, so that we could make a more comparable comparison with math and ELA. If you were to work it out, how many minutes of science an elementary teacher teaches across the year, and break it down to per day, it’s like 18 minutes for the lower elementary grades, 27 for the upper elementary grades. Which is not a lot. But it’s pretty much an hour a day in math, and 80 plus minutes in ELA. So, a lot less. And then, you know, when I was teaching, the first thing to go was always science, right? If there was an assembly, if there was early release or whatever, that was the first thing to go. So those numbers might even be higher. Just because they aren’t factoring that kind of thing in, too.

Eric Cross (06:05):

So, now I’m curious. That is something that I’ve seen just anecdotally, science being the first thing to go. I feel like I’ve seen that almost…it’s almost become a meme, that I’ve heard that so often. Just in your experience, why do you think that is that huge disparity between the two?

Courtney Plumley (06:26):

Well, I mean, when I was teaching, I was teaching third grade. I had an end-of-grade test in math and ELA for my kids. I didn’t have one in science. So the administration said, “Hey, if you’re gonna drop something, drop something that’s not tested.”

Eric Cross (06:41):

Simple as that. And Eric, you, past life: physics teacher. High school. What did you see? ‘Cause our listeners run the gamut from elementary all the way up to high school. What did you see, as far as relative science instruction in the secondary level?

Eric R. Banilower (07:00):

Sure. You know, secondary is just a whole different situation than elementary. Rght? Because you have departmentalization. I taught science. I didn’t have to teach other subjects. And students had periods, and they still do, sorry, they still have periods, even though it’s been a long time since I taught. And you know, they rotate from one class to another. So all the classes were essentially the same length. So, you know, when I was teaching, it was about 50-minute periods. So in terms of minutes of a class or minutes on a subject, it’s not really different. But what is different is what students are required to take in order to graduate high school. One of the things we asked schools about in this study was how many years of a subject do students have to take in order to graduate? And what we saw was in mathematics, over half the schools in the nation require students to take four years of mathematics to graduate. OK? And the vast majority of the rest, about 44%, require three years in science. Most schools require three years. Very few require four years. And many, or a fair number, still only require two years to graduate. So the expectation of what students are taking is lower in science than it is in mathematics.

Eric Cross (08:20):

So you were seeing the same trend in secondary, essentially.

Eric R. Banilower (08:24):

Yes.

Eric Cross (08:24):

The amount of time devoted to the instruction of science…we’re kind of seeing it mirrored just across K–12 across the board.

Eric R. Banilower (08:33):

That’s correct.

Eric Cross (08:34):

And that’s across the country. ‘Cause the sample size represents teachers from Alaska, Hawaii, the South, SoCal, everywhere. So what’s been the reaction to that number? Like 18 to 20 minutes is…I mean, it’s, it’s half of my lunch at our school. What’s been the reaction to that number since this data has been published?

Eric R. Banilower (08:58):

I don’t know, Courtney, if you want to take that…

Courtney Plumley (09:00):

It’s a lot of what you just did. Like, what??? Like, how is it possible to teach all the things you need to teach in such a little amount of time?

Eric R. Banilower (09:08):

What’s really kind of surprising to me, though — though now that I’ve worked on three iterations of the study, it no longer surprises me, but it did at first — is that these numbers really aren’t changing since we’ve started doing this study. You know, people thought maybe with No Child Left Behind and the increase in accountability, time on science might actually go down, because there was more testing in math and English Language Arts. It didn’t happen. It was pretty much constant, that this has been kind of the state of science education for a long time.

Eric Cross (09:44):

So Eric, if I’m hearing you right: The past studies, we’re not seeing an increase or a decline. This has been this way for how many years, roughly, would you say? Since it’s been studied?

Eric R. Banilower (09:54):

You know, I’d have to go back to the 1977 report to get the numbers, but I’m gonna say since then, it has not changed much, if at all.

Eric Cross (10:03):

So this has kind of been entrenched. This has been the norm for almost for the career of a teacher, almost generationally. We’re looking at anyone who’s been in the highest levels of leadership to someone just entering the classroom, this has been the way it’s always been. This is kind of for many people what they’ve only known.

Eric R. Banilower (10:20):

Right.

Eric Cross (10:21):

Kind of become the norm.

Courtney Plumley (10:21):

We didn’t even have science when I was in elementary school. We had science on a cart that came by, you know, every other week.

Eric Cross (10:28):

Was that like a food truck, but like the science version of it? It shows up and does quick science and takes off?

Courtney Plumley (10:35):

And New York was, I mean — we always watched Voyage of the Mimi. I don’t know if you ever watched that. But that’s what we watched every single time the Science on the Cart came. So it’s like a marine biology show. Ben Affleck was on it when he was a kid.

Eric Cross (10:48):

<laugh> Really? For me it was, Mr. Wizard. For some of my students, even now, Bill Nye. You know, the Bill Nye show or something would come on. So what happens when you look at less wealthy districts? Is there a relationship between community resources and science instruction, or is it pretty much equal no matter what the district resources are, the school’s resources are? Did you see any data there?

Eric R. Banilower (11:12):

Yes. We actually did a lot of disaggregating the data by community type, student demographics in the schools, to look to see whether there were areas of inequities across the country. And, you know, one of the factors we looked at was kind of a measure of socioeconomic status. You know, wealth in the community. By looking at percentage of students eligible for free or reduced-price lunch. And interestingly, in terms of time on science instruction, there is actually not a relationship between income level and how much time is spent at the elementary level on science, which actually surprised us.

Eric Cross (11:54):

Because you might have expected it to be the other way now. And granted, it’s 18 to 20 minutes, there isn’t much more to shave off off of that. But were there other differences, like when you compared those communities? Maybe it wasn’t the amount of science instruction, but was there anything else, like teacher preparedness, resources? Were there anything else that you did see discrepancies in? Or was it equal across the board?

Eric R. Banilower (12:13):

No, unfortunately there, there have been, and still are, a number of areas where community resources are related to pretty substantial differences in educational opportunities that students have. So, you know, we’re talking about the high school science requirements. One of the things that we saw was that high schools in less wealthy communities tend to offer less rigorous science courses than high schools in better-off-financially communities. So they may not be AP courses or second year advanced courses to the same extent that there are in the wealthier communities. That’s one big difference that we saw. Another one was what you were just saying about, sort of, the teachers who teach in these communities. You know, I think that for many years people have had a feeling that the best teachers go to the better off schools because it’s easier to teach there. Well, we see that the schools with the most poverty, they tend to have the newer teachers, who are just starting their career. They tend to have teachers who are less well prepared to teach their subject. And there’s a host of other differences we found. And you know, you mentioned the report being 400 pages. This other report that looks at these differences is also quite long, and, you know, identified a number of areas where there are these disparities in the system.

Eric Cross (13:43):

Well, we appreciate you synthesizing this for us, because this is super-important. And you’ve fleshed out a lot of things. And the fact that it’s driven by data, we as science teachers, we as scientists, being objective, really, really value that. Because this is actually validating a lot of the things that our listeners and myself, we experience anecdotally. But you don’t have a lot of things to network you. And sometimes, when you see this, you wonder if it’s just you, or is are other people experiencing this? And so as you start talking about this data, realizing, oh wow, this is not something in isolation. This is systemic. This is something that’s impacted. And then Eric, what you said about schools that were lower-income, that were under-resourced, and didn’t offer those advanced classes, what are some of the impacts of that, maybe downstream, of doing that? Not having those AP classes? I just kind of wanted to put that out there and ask you.

Eric R. Banilower (14:31):

You know, this is a really…this is a current debate right now, about what the goals of schooling K–12 should be. You know, are all kids meant to go to college? Should there be alternative paths? And you know, I know when I was teaching, I would have students say, “Why do I need to know this? I’m not gonna go into science. I’m not gonna study physics. Why do I need to take this?” And, you know, the answer I used to give them was, “You never know where your life is gonna end up and what opportunities you’ll have. And by having these educational experiences, you have more opportunities available to you. Whether or not you choose to go down those paths, you have opportunities. And when you don’t take this kind of coursework, you know, even if you don’t want to go to college, you limit your potential careers. Because so many careers nowadays require some technical knowledge, some knowledge of science, even if it’s not explicitly a science job. It is embedded in our society now. We are a technological and science-based society.”

Eric Cross (15:37):

It reminds me of something that I’ve told my students, that if you become a scientist, that’s awesome. I love that. But if you don’t, and you want to be a dancer or an actor or a lawyer or anything that may not be directly related to STEM, I want you to choose it because it was a choice, and not a lack of options. So as long as you’re choosing not to go in STEM, and you don’t make that decision because you can’t, or because you weren’t given the opportunity. So that’s how I’ve always had this mindset as a teacher. And I’ve explained it to my students. So if you say, “Cross, you know what I want to do, I wanna be an awesome chef,” which, you know, low-key that’s science, right? <laugh> Molecular gastronomy, we know that. But like, you be the best chef. But as long as you’re being a chef because you choose that, and you’re like, “I love science, but I don’t wanna go that direction,” we’re good.

Eric R. Banilower (16:26):

Right. And if you think about, a lot of social justice issues with pollution and climate change, and you look at which communities are more affected by some of these larger environmental problems and challenges, it tends to be the lower socioeconomic communities, the more poverty-stricken communities have worse water, have worse air quality. And so if, if people from these communities are going to make informed decisions about who they’re gonna vote for, about what policies they’re gonna support, those are science topics that you have to have some understanding in order to make informed decisions in your life.

Eric Cross (17:09):

Courtney, you were one of the Swiss Army Knife teachers. This is how I perceive it for elementary. You had to teach everything. And shout out to all of my elementary school teachers that have to be mathematicians and grammar whizzes and scientists and PE instructors and social emotional, all of those different things. you also looked at teacher preparedness. How did teachers feel about teaching science compared to other subjects like language arts and math? Did you see anything there?

Courtney Plumley (17:39):

We did, we did. And I’m glad you said, “How did they feel about it?” Because one thing that, you know, in a survey you can’t really do is capture how someone actually…how good someone actually…the quality of someone’s instruction. But you can ask them how prepared they feel. And you can even ask them like stats, like, “What did you major in in college?” You know. But you really are going on based on what what they say. So we ask them how prepared they feel to teach all the core subjects. And two-thirds of elementary teachers felt very well prepared to teach reading. They felt very well prepared to teach math. But when it comes to science, it’s less than a third felt very well prepared. And you know, like you said, when you’re teaching elementary school, you’re teaching all the subjects. But also in science, there’s usually four main instructional units in a school year. And they’re all from different science disciplines. So not only are you going on, like, “Maybe in college took a lot of bio classes, but I didn’t take any physics classes, and now I have to teach physics to my kids and I have no experience there.” So, you know, we also ask them how well-prepared they felt in these different disciplines. And the numbers are even smaller, you know. Fewer than a quarter felt very well-prepared in life science. And like 13% felt very well-prepared in physical science. So there’s definitely a big difference between how much teachers feel prepared for ELA and math versus science.

Eric Cross (19:08):

And just from a human perspective, when we don’t feel prepared for something, we’re not really gonna probably lean into it as much as we are into our strengths. Like, that’s just kind of how we are across the board.

Courtney Plumley (19:18):

Yeah.

Eric Cross (19:18):

I’m even like that with my own chores in the house. Or when I have things I need to get done, and I might not be as good at doing those things—it’s gonna be a heavy cognitive load; I’m gonna have to do some background research—I tend to find other areas to excel in. Like, I’m gonna be productive in this other area. I’m gonna really crush it here. But this other thing gets put to the back burner.

Courtney Plumley (19:36):

Totally. And the same reason I might skip science today, <laugh> ’cause it’s scary.

Eric Cross (19:41):

Yeah, exactly. But I love this book. <Laugh> Or we could do this math, and let’s really, really dive deep into it. Now, did you also look at professional development and instructional resources that are being provided?

Courtney Plumley (19:53):

We did.

Eric Cross (19:54):

And on the whole, how was the amount—and I’m seeing a trend here, so I’m kind of feeling like I know where this might go—but I wanted to ask it, did the amount of professional development and resources for science, was there much of a difference between that and other subjects?

Eric R. Banilower (20:10):

Well, I’ll start on this, and Courtney, feel free to jump in. You know, one of the things that we asked was how much kind of discretionary funding do schools devote to science and how much to mathematics? So, for consumables or equipment and supplies or computer software for teachers to use in the classroom. And it’s hard to compare, I think, across subjects because the demands for this kind of supplies, et cetera, is very different, I think, in science than it is in mathematics. Right? We have a lot of, you know, equipment for doing investigations, consumable supplies in science. And those things need to be replenished on a regular basis. It turns out, when we look at the data for school discretionary spending on this kind of stuff, the median school spends less than $2 per student at the elementary level on science, compared to over $6 for mathematics. At the high school level, it’s kind of reversed. Schools spend more money on high school science than they do on high school math. but even still, at the high school, it’s less than $7 per student. Which is not a lot of money being devoted to thinking about all the materials, supplies, chemicals, et cetera, that you need to teach science well, at the high school level. More disturbing is the fact that, you know, we were talking about inequities before, schools that serve less well-off communities spend less than schools that serve wealthier communities, by quite a big amount.

Eric Cross (21:46):

So essentially the per-student thing just kind of popped out to me: So, like, an expensive Starbucks drink is what we’re spending on science per student.

Eric R. Banilower (21:57):

At the high school level. Yes.

Eric Cross (21:58):

At the high school level. And I get those catalogs in the mail, from all of those big science companies. You can’t get much for seven bucks. At least, nothing high-level. And I know I do a lot of 99-cent store science. I go down the street, go to the 99-cent store. Thankfully we could do a lot of awesome science with just, you know, cheap things. But a lot of the higher level experiences, they’re pricey. But the experiences are so rich! And $7 at the high school level is nothing. It’s not much at all.

Eric R. Banilower (22:28):

Yeah. It is definitely, you know, kind of shocking to think about what we’re investing in our children’s future.

Eric Cross (22:37):

Now, just to put you both on the spot, ’cause I feel like that we’ve identified some…we’re seeing a trend here, we’re seeing a pattern. We’re talking about, you know, being science teachers. There’s a pattern going on here. Do you think it’s fair to characterize science as the underdog?

Courtney Plumley (22:52):

I think in elementary school, it is a fair statement. Because, like we said before, I mean they’re gonna preference math and ELA almost all the time. I mean, the other thing you’d asked a little bit ago was about professional development, too. And we do have some data on that. And we ask teachers, you know, how much science professional development they’ve had in the last three years. And nearly half of elementary teachers said none. And I know I didn’t have any science professional development. If I was gonna pick from among the catalog, I was picking one that I needed more, like math. Math and ELA. I keep making that statement, but just over and over, it’s the truth.

Eric Cross (23:31):

And going back to what you said earlier, because that’s where the accountability was, right? And that kind of came top-down.

Courtney Plumley (23:38):

Yes.

Eric Cross (23:38):

And influenced everything else.

Eric R. Banilower (23:40):

Yeah. Now, really interesting thing that we did, a year or so ago, ’cause someone asked us, you know, “Hey, could you look at this?” is we compared elementary science instructional time among states where science counted towards accountability versus states where science doesn’t count towards accountability. And at the upper elementary grades, more time was spent on science in schools in states where they had science accountability. Now I’m not arguing for adding science to accountability systems. But that’s a pretty telling piece of data.

Eric Cross (24:19):

What gets measured gets done.

Eric R. Banilower (24:20):

Yeah.

Eric Cross (24:20):

Or what was getting evaluated was getting done. And that raises, that opens up a myriad of other questions about testing, and what that reveals, and all of those different things. But at the end of the day, what you’re finding is that the things that were getting tested were the things that were getting the priority.

Eric R. Banilower (24:36):

That’s right.

Eric Cross (24:37):

How did we get to this point? And Eric, you said it goes back at least to ’77, but we look at society and we’re…I wanna say we’re post-pandemic, but we’re we’re not. but we’re trying to, we’re trying to get past that. But we’re looking at…we had innovations in biology, we have innovations right now in green energy and electric cars and all of these things that are STEM-based. We know that these are things that have moved humanity forward. And we look at the pipeline of people who are in STEM and we, we see the disparities and things like that. Why was science given less of a priority? I’m just curious. Maybe, Courtney, we could start with you, if you have any ideas. Or Eric. Either one. But how did we get here?

Eric R. Banilower (25:22):

<laugh> I think Courtney wants me to take that one. I’m older so I’ve seen more <laugh>. So, you know, I have the gray hair. She doesn’t. I think it’s complicated. And I know this sounds cliche, but but schools are a reflection of society, right? And, and so science education, you know, if you think back when Sputnik was launched, there became this great demand in America to improve and produce more scientists and engineers in response to this Cold War threat. Right? And then in the ’80s there was rising, oh, the gathering storm was an economic argument that we needed to increase science and math, you know, education and people going into those fields in order to compete economically against the global competitors. And I think that America has always produced a fair number, a large number, of high-quality scientists and engineers, you know. And we still lead the world in many ways. But where we’ve identified as a problem is who has those opportunities to go into those fields. You know, it used to be a very select, a very male-dominated, white male-dominated field. Right? And other people didn’t have the opportunity, or they were shown the way out pretty early. And we, I think, have come to realize as a country that, you know, the, the greater the diversity of thought that we can get into these discussions, the more innovative we can be and the more productive as a society we can be. And so I think we’ve had this shift in the country to, instead of thinking about just the quality for the select few, but to be thinking about the quality for everyone. And so that makes it seem like some of these challenges are greater than they used to be. And I think they’re different challenges, right? We’ve evolved as a society and I think schools have evolved.

Eric Cross (27:40):

There is a conversation I was in on a plane with a person who was a materials manager for a company that made the adhesive for sandpaper. And we were flying…I was flying to Denmark and he was flying to some other Scandinavian country. And we were just talking about it. And he came from another industry, and somehow the conversation led to science. I don’t know how that happened. But somehow I just started talking about science and I asked him about, Eric, kind of what you said about the US kind of leading the way in science innovation versus the rest of the world. And I asked him why. And he said one of the reasons why is because the heterogeneous thought. The different groups of people that are coming to a problem actually create more innovative and novel solutions. Versus when it’s more homogeneous. And everyone’s either culturally or just for whatever reason, kind of thinks a certain way. While they might have a more efficient way, the variety of solutions are not as varied and not as novel. I was reminded of that story based on what you just said. So it’s really interesting. So it seems to be that it benefits if we have more heterogeneous groups, more folks who are contributing to STEM, because that’s gonna be solving the next problem more efficiently. Or I guess maybe in my head it seems like the next we need…we do really well when we have a dragon to slay. I mean, it seems like we come together when that’s the case, right? Like, I dunno.

Eric R. Banilower (29:06):

No, I think that’s…I think that’s accurate.

Eric Cross (29:09):

Later on the season of the podcast, we’re gonna explore ways to better integrate science with other subjects like literacy and math. Were you able to study at all any more integrated approaches to science instruction? Does any of your research support that approach?

Courtney Plumley (29:25):

Not on the national survey, we didn’t study that. And it’s something that we’ve talked about before, because it’s difficult to get teachers to…we were talking about instructional time. It’s hard for teachers to put a number on it when they’re integrating, because, you know, it’s not like I have my science block from 3 to 3:30 anymore. Now it’s kind of scattered about. But it’s something that has been in the ether. We’ve been looking at it in a couple of projects. So there’s some evidence that it can be effective, especially for getting more, you know…the idea is you can get more time for science if you are integrating with other subjects. But one thing to kind of caution is like, students need to have opportunities to learn each discipline when they’re doing integrated instruction. So you don’t wanna just have, like, math in your science. Kids already know to just, like, support it. Then it’s hard to take time from math to put it into science when they’re not actually learning anything new. That’s the easy thing to do, though, is say, “Oh, my kids already know how to measure. We did that in a previous unit. So now we’ll we’ll do it as part of our science instruction.” So it’s a lot of work to make it so they’re learning something new, mathematics and science, at the same time. And it’s not really something that we think that teachers should be having to do on their own, with all the other things that teachers have to do. The last thing they need to do is be creating their own, you know, curriculum. Something that’s already…you know, it’s not straightforward. So we’ve been talking about it, we think it’s really something that instructional materials maybe need to be focusing on instead of teachers having to do that on their own,

Eric Cross (31:01):

Teachers would implement it, but asking them to create it is a whole different thing, and it’s a huge ask.

Courtney Plumley (31:08):

Yes.

Eric Cross (31:08):

Yeah. And, did I hear you right? So the ideal situation would’ve been the students learning a newer math concept, but embedded in a science kind of context? Or was that the better way? Versus, “I’m gonna take a math concept they already know and then just put it into the science setting?”

Courtney Plumley (31:26):

Well, if the idea is that you can get more science time if you’re, you know, integrating things, so you can maybe take time away from a specific math block by putting it with science, or whatever, then if the math is something that the kids already know, now you’re just taking away. I think that that has to be new in both cases, in order to justify having more time.

Eric Cross (31:49):

Right. Eric, in the secondary level, any thoughts on that? On integrating these disciplines together?

Eric R. Banilower (31:56):

I think, you know, just like at the elementary level, it can be challenging to do it well. When I taught, I taught my last couple years in a kind of school-within-a-school kind of situation, where our goal was to try to integrate science, mathematics, and language arts. And it’s hard to do that in a meaningful way. And we did not have curriculum materials given to us to help us do this. We were trying to figure out how to do this on our own, while we were teaching 200 kids a day in our subjects. Right? And five preparations. And you know, it’s a big ask of any teacher. And there are teachers who thrive on this and are great at this. And, you know, that’s one thing I wanna, make clear: our data is about the system, and we are former teachers. Almost everyone who works at Horizon is a former teacher. We have the greatest respect for teachers and what they do. And what our data is showing is are kind of like areas where the system isn’t providing teachers and their students the opportunities to do great things. I think at the high school level, there has been this idea of project-based learning where students are bringing together different skills, different ideas from across disciplines. And I think there’s, again, a lot of potential in doing that. But trying to develop those experiences so that they are doing service to the different subjects, so students are learning what they’re supposed to learn in English Language Arts, that they’re learning, important mathematics, and that this is in a science context, where they are getting to do and understand what science is and how science, as a discipline, operates…that’s just a really hard thing to develop.

Eric Cross (33:53):

So what I’m hearing—and I really appreciate the nuance in this, because it’s not a simple “Yes. Integrated is better,”—I’m hearing “Yes. Quality control.” “Yes. It needs to be written not by teachers; they’re the practitioners.” It’s “Yes. And,” not just simply binary. Which…it’s so easy to wanna chunk things and say yes or no on things. But this one seems a much more nuanced approach. And in a future episode, you mentioned project-based learning, we’re gonna try and talk to people who have thoughts on this. And I really appreciate that you talked about project-based learning, because also, how do you evaluate that? How do you evaluate whether or not it is high quality? Is this is something I see? You know, high-quality standards, highest quality science teaching, highly qualified teachers. It’s something that I see often. Now, based on all your research, this is kind of the 30,000-foot view. What advice might you have for people who are thinking about changing the way science is taught in this country? Which hasn’t changed since 1977, at least since we’ve been measuring it. Any advice for people who do want to act? Another way to ask, it might be, if you were given a magic wand, <laugh>, you have all power, what might you do if you can control the entire vertical system?

Eric R. Banilower (35:07):

Yeah, so a clarification, I do think science instruction has changed. It has evolved. I think there’s a lot of really good things going on in different pockets of the country. One of the challenges is bringing those good ideas and good practices to scale. Right? There are approximately 1.2 million teachers of science K–12 in this country. That’s a lot of people. And about 80% of those are elementary teachers who are responsible for teaching other subjects as well. So my thinking is often about, “How do we take what we know and that we’ve learned through decades of research is effective, and impact a large number of teachers, and therefore a large number of students?” And you know, Courtney I think has hinted at this already. And you’ve mentioned it too, Eric, is that teaching is a profession, right? And it’s a craft. But in no other profession do practitioners have the expectation that they’re developing their own tools and methods for their work. I know when I was in my teacher preparation program, and it’s still extremely common, one of the assignments perspective teachers are given is to develop a unit and develop a lesson, right? You don’t have doctors being asked to develop new treatments and new tests to use. Their job is to get to know their patient, assess what’s going on, and then using research-based methods to develop a plan of action, right? And I think that analogy works really well in education and is a way that we could have a scalable approach for kind of raising the floor across the country for the quality of science education. Giving teachers research-based materials, high-quality instructional materials, that they can then use and adapt to meet the needs of their students, would allow them to focus on getting to know their students, seeing what their strengths are, seeing where they have room for growth, and using the materials they’re given to help those students progress. And I think that is definitely a way where we could have a big impact at a large scale.

Eric Cross (37:39):

Courtney, same question: Magic wand, all power. You can change systems from the elementary perspective. What would you do? I’m assuming part of it’s gonna be changing that 18 to 20 minute time. But even for that to happen, what would you do? What would you change?

Courtney Plumley (37:57):

Well, I don’t know. Like, for it to change, I don’t know the answer to that. But yes, increasing the time would be great. And like Eric was saying, giving teachers— ’cause again, I’m coming in, not enough probably background in science—and then, you know, when I was, when I was teaching, we had one set of textbooks for the entire grade. Six classes, right? Like, share them. But third graders aren’t gonna read textbooks anyway, right? So instead I’m going to the teacher store. I’m pulling things off the shelf. And like, “OK, yeah, sure, I’ll use this.” And nowadays, teachers are going to Teachers Pay Teachers or whatever. Because I didn’t have anything good to use. So like Eric is saying, if I had instructional materials that were good instructional materials that were gonna teach my kids, that they were gonna be engaged, that they weren’t sitting and listening to science, but they were doing science, you know, and I had professional development to actually help me do it? That’s what I think we need to have. And I mean, I know there are some people out there that are working on that, but it’s not a lot. I mean, if you look at Ed Reports, they rate how well-aligned science curriculum are to standards. And there are two right now that have Ed Reports green lights. There’s Amplify and there’s OpenSciEd. You know, so there’s not much out there for teachers to use. And, so it’s hard. It’s hard. Where am I gonna go and get this stuff if it doesn’t exist? And so I’m making it up by myself. Which we already said is not the best use of teachers’ time, when they’ve got so many other demands on their time.

Eric Cross (39:27):

Eric and Courtney, listening to both of your responses, it created a visual in my mind. And Eric, I loved your analogy of…I started thinking of a chef, a welder, and a farmer. And I thought about the chef saying like, “You’re a great chef! Now, can you go farm, and make your own food, so that you can cook it?” Or the welder who has to make his own welding tools and go smelting. You know, making the different rods. I’m not a welder. But you know, all those different parts. Or the farmer who has to build his own tractor and innovate all that stuff. You’re absolutely right, the way you articulated that. And then Courtney, you essentially said, “Give them the tools and then teach them how to use it so they can go and actually be effective with it, because you’re in front of kids doing so many different things.” There’s only so much time in the day, and teachers want to do these things; they want to, but you end up having to triage when you’re asked to. Going back to Eric’s analogy, if you’re in the ER, but you’re also creating the vaccines and you’re also doing the research on which types of vaccines are gonna be the most effective, that’s, that’s a lot to ask. And so, I appreciate both your responses on that. Now, last question, what are you both working on now? This report came out in 2018. What’s, what’s next on the horizon? Actually literally, that’s no pun intended. <laugh> What’s next? <laugh> What’s next for, for you both? What are you working on?

Eric R. Banilower (40:42):

Well, you know, we would love to do another national survey, in a few years. We have to get funding to do it. And you know, that’s always something that takes effort and isn’t a guarantee. We’ve written grants to do these studies in the past, and there’s also the dealing with the reality of the situation. I think a lot of schools, still coming off the tail end of dealing with Covid, are overwhelmed. And we’ve had a hard time, I mentioned before, recruiting schools, and it gets harder every time, just ’cause they have so much on their plate. And I couldn’t see going to a school now and saying, “Hey, one more thing. Do you mind?” So I think we have to kind of wait a little bit for things to settle down before we can do another one of these studies. It just doesn’t seem feasible right now. But we’d love to in the not-too-distant future. Other than that, Courtney and I actually work on some projects together and some projects not together. One of the things that we’re working on together is a study of a fifth grade science curriculum that was developed by Okhee Lee at NYU and her colleagues, that is both aligned with the NGSS and purposely designed to support multilingual learners in developing both their science knowledge and skills as well as their language skills. And we’ve been working with the crew at NYU to study this curriculum and try to figure out, how well it’s working and under what circumstances. So that’s been a really interesting project that’s going on right now.

Courtney Plumley (42:26):

I recently worked on a report with the Carnegie Corporation in New York that actually I think, compliments what we’ve been talking about a lot. It’s about the status of K–12 education in the US—or science education in the US! <Laugh>—and so as part of that report we interviewed like 50 science education experts across the country. We surveyed teachers, people in the university settings, researchers, and everything to kind of get a little bit more update of the state of science education right now. And so a lot of the things we’ve been talking about, we still are talking about with the people in this report four years later. So, work in progress. <Laugh>

Eric Cross (43:09):

And again, going back to 1977, based on what Eric was saying earlier, we’re looking at these large systems, these systemic changes don’t happen overnight.

Eric R. Banilower (43:20):

That’s right.

Eric Cross (43:21):

It’s very slow-moving.

Eric R. Banilower (43:22):

That’s right. I would say there is progress. I think we’ve learned a lot. We are getting better. Are we there yet? No, we’re not happy with where we are. But I think, you know, I think it’s important to be hopeful about the direction things are going in.

Eric Cross (43:37):

Well-said. I agree. Courtney. Eric, thank you so much for unpacking that report that speaks to, that validates what so many teachers across the country are experiencing. And thank you for your advocacy for high-quality science education and your passion for supporting teachers and being that voice from a data-driven perspective of what teachers experience and then advocating for solutions for them. It’s super-encouraging for me, and I know it’s gonna be really encouraging for a lot of our listeners. So thank you.

Eric R. Banilower (44:10):

Thank you for having us.

Courtney Plumley (44:12):

Yeah. Thank you, Eric.

Eric Cross (44:15):

Thanks so much for listening to my conversation with Eric Banilower, Vice President of Horizon Research, and Courtney Plumley, Senior Researcher at Horizon Research. For much more, check out the show notes for a link to the 2018 National Survey of Science and Mathematics Education. And please remember to subscribe to Science Connections wherever you get podcasts, so that you’re not missing any of the upcoming episodes in Season three. Next time on the show, we’re gonna start laying out the road map for using science more effectively. And we’ll start by looking at the how and the why of integrating literacy instruction.

Susan Gomez Zwiep (44:49):

When we look at Science First and build language development around it, the experience tends to be more authentic and organic.

Eric Cross (44:58):

That’s next time on Science Connections: The Podcast. Thanks so much for listening.

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What Eric R. Banilower says about science

“Our data is showing us places where the system needs to provide teachers and their students the opportunities to do great things.”

– Eric R. Banilower

Vice President of Horizon Research, Inc.

Meet the guests

Eric R. Banilower is a Vice President at Horizon Research, Inc. (HRI), and has worked in education for over 30 years. Eric was previously a high school physics and physical science teacher before he joined HRI in 1997, where he has worked on a number of research and evaluation projects. Most recently, he has been the Principal Investigator of the 2012 and 2018 iterations of the National Survey of Science and Mathematics Education, a nationally representative survey focusing on the status of the K–12 STEM education system.

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Courtney Plumley is a Senior Researcher at Horizon Research, Inc. She began her career in education as an elementary school teacher before starting at HRI in 2009. In her time at HRI she has worked on many K-12 STEM research and evaluation projects. Most recently, Ms. Plumley has worked with Carnegie Corporation of New York on mapping the landscape of K-12 science education in the US and is managing the field test for the OpenSciEd elementary materials.

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A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S3 – 04. Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Promotional image for "Math Teacher Lounge" Season 3, Episode 4 titled "Ideas to Build Math Fluency," featuring Valerie Henry, Tracy J. Zager, and Graham Fletcher.

Fluency in math can oftentimes be associated with negative experiences with its development— timed worksheets, for example. Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier for their inclusion in mathematics. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

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We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guests

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

Graham Fletcher has served in education as a classroom teacher, a math coach, and currently as a math specialist. He is continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary mathematics. He is the author of Building Fact Fluency and openly shares many of his resources at gfletchy.com. Follow him on Twitter.

Tracy Johnston Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of the Building Fact Fluency toolkits and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books by teachers, for teachers at Stenhouse Publishers. Follow her on Facebook.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S3 – 06. Bethany and Dan take on Twitter!

Promotional graphic for Math Teacher Lounge Season 3, Episode 6, featuring Bethany Lockhart Johnson, Educator, and Dan Meyer, Director of Research at Desmos.

In this episode, Bethany and Dan take a look at several tweets that caught the most fire on Twitter during the 2021-2022 school year. The pair answer questions about viral teaching methods, the best teaching advice you can give in three words, and if students should use pencils or pens in class. Join them as they take on those questions and several others in a fast-paced episode.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:02):

Hey folks. Welcome back to the Math Teacher Lounge. I’m your co-host, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I am Bethany Lockhart Johnson. And I’m your co-host, Dan! Hi!

Dan Meyer (00:12):

We’re co-hosts! Hey! Great to see you.

Bethany Lockhart Johnson (00:13):

Dan, this is the last episode of Season 3. Three seasons!

Dan Meyer (00:19):

It’s gotta have a cliffhanger. What will the cliffhanger be? You know?

Bethany Lockhart Johnson (00:22):

The cliffhanger is that we love having guests! It’s one of our most favorite things, because selfishly, we love to talk to all of these amazing folks who are doing this interesting research and thinking about amazing things. But for this last episode, it’s just you and I, Dan. Cliffhanger!

Dan Meyer (00:40):

Yeah. I like this. I like this. So the cliffhanger was last episode, and people are all like, “So who’s the last guest gonna be of the season before we roll out into summer?” And yes, as Bethany said, we love all the fascinating guests we’ve had on throughout these last few seasons. And we realized…who is more fascinating to each other than both of us? You know, let’s talk to each other about things, right? <Laughs> You get that! You get that! Or am I alone here in this? We had this idea about what we should talk about here, and that’s this: I am on Twitter a lot. I’m @DDMeyer on Twitter; throw me a follow; might follow back; who knows? I don’t tweet much. Bethany, what’s your handle on Twitter? Let ’em know.

Bethany Lockhart Johnson (01:22):

I’m @LockhartEdu, and I was much more active pre-mamahood. But I’m still up in there. Go ahead.

Dan Meyer (01:30):

Yep. In there. Yeah, great. So I’ve been keeping track of the hottest conversations in math education Twitter, the conversations that the most people who kind of describe themselves as math teachers in their bios and whatnot have been replying to. We’ve got some little things working in the background, keeping track of this sort of thing. And so we are gonna bring you folks some of those extremely hot conversations, and even better than the questions—which we hope you’ll reply to and tag us in your replies—even more than those questions, we’ll bring you our answers—our answers!—to those questions. Can you believe that? We’ll fully settle these questions! Won’t we, Bethany? My gosh, won’t we?

Bethany Lockhart Johnson (02:15):

Jeez Louise! No! Dan Meyer, the point is not our final word on it! The point is this episode, we’re furthering the conversation. We wanna hear from listeners about what do you think?

Dan Meyer (02:25):

Right. You’re right. You all need someone in your life like Bethany who will help you become the best version of yourself. So here’s the deal. We have several questions in a few different categories. We’re gonna bust through some quick ones, pretty quick. And, uh, there’s some meaty ones as well. Let’s get into it! The first questions come to you all, and us, courtesy of MTL guest Howie Hua, who has a renowned knack for just creating math memes, but also conversation starters that really capture the curiosity and answers of of a grateful nation. So Howie’s first question, which I’ll pose to Bethany, is, “What’s your favorite number?” Bethany? And why is it your favorite number?

Bethany Lockhart Johnson (03:14):

Oh, I love it. OK. Well, the first thing that came to my mind is 12. ‘Cause It’s a highly divisible number. I mean, 2, 6, 3, 4—I love it. And it coincides with the day and month of my birth. Which, like, the double-digit…come on, 12, 12, 12, 12. I dunno, am I giving away, like, my bank security code <laugh> or anything by saying that?

Dan Meyer (03:41):

Yeah. What’s your favorite PIN?

Bethany Lockhart Johnson (03:43):

Let me change my PIN. Yeah, it’s just such a happy, happy number. Well, 12 is, you know, 10 and 2. Two more. Anyway. Love it. What about you, Dan? What’s your favorite number and why?

Dan Meyer (03:55):

I’m into it. I’m into it. I think I would choose 16. Because it’s the first number for me when it was like, “Oh, you can keep on making numbers forever!” Where I’m like, OK, 2times 2 is 4. Great. That’s kind of an elemental expression in mathematics. Four times 2 is 8. OK. But then, 8 times 2 is 16, and it’s like, “Oh, you can just keep doubling that thing over and over and over again!” And I can recall feeling pretty excited that numbers are just like, out there for the finding. For the taking. Cool stuff.

Bethany Lockhart Johnson (04:33):

I’m sorry. Wait, I have to interrupt. You went 2 times 4 is 8 and you didn’t go 4 times 4 is 16? You went 8 times 2 is 16? You wanted to keep the 2 the same?

Dan Meyer (04:49):

Yup. Yup. You can keep on doubling. You can keep on doubling numbers and it just keeps on going.

Bethany Lockhart Johnson (04:53):

More evidence that our brain works very differently.

Dan Meyer (04:56):

We learn more about each other…let me keep this rolling with Howie questions. OK? Howie says, “If you could co-teach with one teacher from Twitter, who would you choose?”

Bethany Lockhart Johnson (05:06):

Oh, oh, it has to be a teacher?

Dan Meyer (05:11):

Or anybody, I guess. I mean, like, I know you love Oprah.

Bethany Lockhart Johnson (05:15):

Can I co-teach with Oprah?

Dan Meyer (05:16):

Yup, yeah, so there we are. <Laugh> Yup. OK. Fair enough. We have to work Oprah into every single episode.

Bethany Lockhart Johnson (05:23):

I’d just love to sit and like, we’d read together, we’d read to the students, and then we’d talk…I mean, obviously it’d be Oprah. But if we’re thinking more of like MTBoS, like math Twitter blogosphere-land, I suppose the person I would wanna co-teach with honestly would probably be Allison Hintz. One of our former guests as well. Her book, Mathematizing Children’s Literature, with Antony Smith, that book—I just love the idea of sitting and doing a read-aloud and then diving into some juicy math that’s inspired by what comes out of that read-aloud. So yes, that’s who I pick. Allison! Let’s co-teach!

Dan Meyer (06:00):

<Laugh> Shout-out to Allison.

Bethany Lockhart Johnson (06:01):

What about you?

Dan Meyer (06:03):

I would choose MTL guest Idil Abdulkadir—because, and this relates to Allison and also Elham Kazemi—they talked about, in our episode about teacher time-outs. And I’m choosing someone who I think is—like I’ve never seen Idil teach, but I work with Idil at Desmos and think she’s fantastic. But what I really want in a co-teacher is someone that I can say, “Whoa, time out, do you see what’s going on here? This is really interesting. What should we do next about this?” And have a little strategy sesh in front of the kids and no one gets freaked out by that. And I think that that’d be a pile of fun. Idil seems like she’d be receptive to that kind of interaction, teacher to teacher. So that’s my vote right there.

Bethany Lockhart Johnson (06:48):

Opportunity for you to grow your own practice, Dan.

Dan Meyer (06:52):

Yeah, yeah, exactly. 100%.

Bethany Lockhart Johnson (06:56):

So Dan, I actually have a question for you from Howie. If we’re on the Howie tweet train, I have one from Howie too.

Dan Meyer (07:04):

Howie had some fire tweets, some fire tweets this current year. Yep.

Bethany Lockhart Johnson (07:08):

Dan, I wanna know: Do you prefer doing math in pen or pencil?

Dan Meyer (07:16):

Ooh, yeah. Oh, I see that Howie says, “I don’t mean to start any drama, BUT,” and then asks the question–

Bethany Lockhart Johnson (07:23):

But!

Dan Meyer (07:24):

I think that Howie lives for drama. I think he knows he’s messy. He lives for drama. He knows what he’s doing this with this question here. He knows.

Bethany Lockhart Johnson (07:32):

DRAAAAMAAAA!

Dan Meyer (07:32):

He knows what he’s doing. Yup. So I would just say it depends. Is that cheating? Like if I’m doing math to learn, or if we are learning in that process, then I want to use pen, actually. I wanna see the tracks of the thinking. And if we’re doing it for presentation, like if I’m presenting something, I wanna…I guess that’s an area where I’d be fine to not erase things. I don’t wanna prep it so it’s, you know…I guess you could use pen for presentation also. Just pen. Period. But I wanna see the tracks of the thinking if we’re doing some learning versus presentation. What about you?

Bethany Lockhart Johnson (08:09):

Well, I heard the voice in my head telling one of my kindergartners, “No, you cannot do that in sparkly pen. You need to do it in pencil.” And I was like, “Wait, whose voice is that?” It was one of my math teachers telling me I couldn’t do it in pen! Why couldn’t this kid do it in pen? Sure! Do it in a sparkly pen! So I wanna say do it in pen. And since usually pen is what I have around…I mean, I do crosswords in pen, Dan.

Dan Meyer (08:36):

Wow, wow. With a piece of paper and math, you have lots of room to re-revise and cross off…but those little, little boxes on the crossword, that says a lot about your commitment to pen.

Bethany Lockhart Johnson (08:46):

I got really good at making an A into an H or a P or whatever we need. So I would say, “Hey, if you’re in the room with your kiddos and you’re doing math, if somebody wants to do pen, let them do pen.” But I do know that I’ve seen teachers say you need to do pen so that I can see all of your thinking. So I think I hear what you’re saying. But do you think it should be like a classroom rule or something?

Dan Meyer (09:13):

Oh, no, no, no. I mean, I’m gonna ask you like, “How’d you get to this destination?” And I wanna know process somehow, and I think you’ll get tired of having to explain it verbally rather than just, like, showing. Just don’t erase stuff. Don’t scratch stuff off. Let’s let’s see how you’re getting there. That is what I’m into.

Bethany Lockhart Johnson (09:30):

Thanks, Howie, for that trio of thought-provoking tweets, because I genuinely wanted to know what Dan thought and what our listeners think. I mean, Dan, I gotta say: Howie, you say you don’t wanna cause drama, but I gotta say I’m with Dan on that—

Dan Meyer (09:50):

Got the gift. Got the gift for drama. We’re still friends though. So I’m happy about that. Our next section, I got a few more questions queued up here and these ones relate to advice for educators, advice for yourself. Good advice, bad advice, that kind of thing. So let’s jump in. I would love to know—this one’s from Pernille Ripp—I’m very curious, Bethany, what is the worst teaching advice you have gotten in your life, ever?

Bethany Lockhart Johnson (10:19):

<Laugh> Ooh. OK. Um, worst teaching advice was: “That’s OK, just move on anyway.” And that was in terms of pacing. It was like, students needed to do a deeper dive and the teacher who I was chatting with said, “No, no, it’s fine; it’s fine; just move on. Just move on to the next chapter.” That was probably the worst advice, because no, I don’t think that’s what I should have done at all! <Laugh>

Dan Meyer (10:48):

Right.

Bethany Lockhart Johnson (10:48):

But I was a first-year teacher and I was trying to figure it out. And I learned that that was not good advice. And I understand the pressure of pacing. But it was totally antithetical to the type of listening to my students that I want to do in my craft. And this teacher meant well, but that was not good advice, teacher! <Laugh> What about you, Dan? What is the worst teaching advice?

Dan Meyer (11:13):

I dig that. That feels similar to one of the replies to Pernille here. Frances Klein says, “Never let them know you’ve made a mistake” being particularly bad advice. You know, just this like idea of like moving along, covering your tracks, not backtracking or admitting mistakes, those all feel kind of a piece. The worst advice I think I’ve ever received, and I wasn’t given this often, but it’s echoed by a lot of the commenters here on this tweet, which is “Don’t smile until X, Y, or Z,” where X, Y, and Z are like Christmas, October, December, January. Just the idea that you’ve gotta develop—

Bethany Lockhart Johnson (11:54):

Wait, what?

Dan Meyer (11:55):

<Laugh> Did you never hear this from anybody? Don’t smile until Christmas? Perhaps this is more—

Bethany Lockhart Johnson (11:59):

I’m a kindergarten teacher! Can you imagine? If I don’t smile the second they walk in? The tears?! The parents’ tears?! The kids’ tears?! If I’m just like, stoic?

Dan Meyer (12:07):

Yeah. Well.

Bethany Lockhart Johnson (12:08):

So explain it to me.

Dan Meyer (12:10):

Well, the idea is, is that, you know, for older kids, they’re scoping you, they’re clocking you for weakness, they’re looking at you, they’re looking to take advantage. And so “don’t smile until Christmas” is like, hey, you can always relax. You can always relax your discipline, but you can’t UN-relax it if you start out, you know, Mr. Happy Pants Meyer. Which—

Bethany Lockhart Johnson (12:33):

Smile perceived as weakness.

Dan Meyer (12:36):

Yeah. Very obviously poor advice. Eventually you come to realize that like having a rapport and a relationship that is trusting and warm and demanding, that has high expectations, that’s the best kind of classroom management. Not some kind of persona built around intimidation or stoicism, that kinda thing. So, terrible, terrible advice!

Bethany Lockhart Johnson (13:01):

I feel like I did have a few of those math classes. Yeah.

Dan Meyer (13:04):

Yeah, exactly. <Laugh> You loved them, right? They were like your favorite math classes. It was a blast, right?

Bethany Lockhart Johnson (13:11):

<Laugh> So we have to ask the opposite. Thank you, Daniel Willingham, who said, “What’s the best advice you got?” But hold on, Dan, he didn’t just want the best advice. He wanted the best advice in three words.

Dan Meyer (13:26):

Oh yeah. He doesn’t, he doesn’t want a book or dissertation or even a blog post or even a tweet. He wants just three words.

Bethany Lockhart Johnson (13:32):

I think maybe that might have been to me. <Laugh>

Dan Meyer (13:34):

This is someone who’s doesn’t have much time for this advice, wants it distilled down. I’m just obviously stalling here as I try to think about this. I don’t know, there’s just like so much nuance lost here. I would say, listen to students, listen to students. I can’t say more that, I guess. I guess I’m done. I can’t say more than that there. But you’re in a bad place if you’re not listening carefully to students. How about you?

Bethany Lockhart Johnson (14:04):

  1. Mine is “Ask…lots…questions.”

Dan Meyer (14:11):

Nice. ‘Cause I filled in the word! I filled in the word! I was able to kinda infer that. I did that. I got that.

Bethany Lockhart Johnson (14:17):

Wait, wait, wait, wait! I could have said many! Wait, I could have said “Ask many questions.”

Dan Meyer (14:22):

Strong, strong.

Bethany Lockhart Johnson (14:25):

So yeah. You know, no isolation, like don’t put yourself in a bubble. Ask, not just, not just your students, but the teachers! Ask a lot of questions. You don’t have to have it all figured out.

Dan Meyer (14:34):

Into it. Very much into it.

Bethany Lockhart Johnson (14:37):

Thanks. Daniel. Thanks, Pernille.

Dan Meyer (14:40):

Yeah. Daniel and Pernille, Both great questions there about advice, best and worst. Another fire tweet popped up earlier this year from Dr. Khristopher Childs, which was “Name one thing every educator should stop doing.”

Bethany Lockhart Johnson (14:57):

Oh, I don’t know. This kind of ties into my best advice about asking questions.

Dan Meyer (15:03):

Stop not asking questions?

Bethany Lockhart Johnson (15:06):

<Laugh> Avoid the isolation. I really love this idea of when we can, popping into each others’ classrooms, co-teaching, building this collaborative nature. Elham Kazemi, in our interview, talked about this idea of, like you said, the teacher time-outs, learning from each other. So I feel like if we could stop isolating ourself…and I don’t mean at lunch—sometimes you need to not be in the teacher lounge at lunch. Like if you need a minute, take the minute! But in general, as a practice, how can we not be isolated and instead be learning with, and from, each other? How can we stop the isolation? That’s what I would hope every educator would stop doing. What about you, Dan?

Dan Meyer (15:54):

I think that educators should…this is gonna require a little bit of elaboration. I think educators should stop taking responsibility for things that are not in their zone of influence. I think that as a society we are asking teachers to do more and more, to become more and more of a central fixture holding together with chewing gum and twine all the various parts of a student’s life. From their health, their fitness, emotional health, that we feed students at school. It becomes very tempting, I think, there’s a lot of pressures to blame outcomes, disparate and unjust outcomes later on in life, on teachers. And teachers should just flatly refuse. And to yeah, understand what the job has been set up to do. What it’s good for. And do that with excellence and intent and a lot of effort. And then not take responsibility for the rest of it.

Bethany Lockhart Johnson (16:53):

If I asked five different people about the definition of what a teacher should be doing, I would get five different answers. So I think it’s really interesting that you say that because yeah, many, many hats, which I think, yes, can lead to burnout. Can lead to all sorts of things. We’re asking schools to be all things to all, all people. Interesting. I’m gonna think about that more. I need to hear folks’ response on that, Dan.

Dan Meyer (17:18):

Mm-Hmm. I’m curious too. I mean, yeah, there are definitely things that are in teachers’ responsibility and some that are not. That’s a tough one.

Bethany Lockhart Johnson (17:26):

OK, for help, name an example of each. And what’s something that you think every teacher should not and should be doing. ‘Cause I feel like my brain goes to some things like, you know, I had teachers who were saying, “Well, I don’t wanna have my kids have to have breakfast in my classroom in the morning. That shouldn’t be my responsibility to serve breakfast in the morning.” But I’m like, “But then your kids are eating and they’re gonna be able to learn and be more focused.” Should that be the teacher’s responsibility? I’m not saying it necessarily should, but I’m saying…I don’t know. It gets murky for me.

Dan Meyer (18:06):

Yeah, for sure. I mean, I think that we should, as a country, have a really generous social welfare net so that everyone has food at home. Where a school is not the place where some students have to go to in order to receive nutrition and nourishment. That seems sad to me. And uncommon in developed nations. I think that teachers should watch out for, should be responsible for, the mathematical development of the students they teach, up to a point, they should be responsible for learning math and creating relationships in their classes. I don’t think that teachers should accept responsibility for larger kinds of outcomes, like the health of a democracy or international competition, who goes to the moon first. That kind of thing has historically been placed at the feet of teachers. And it’s tempting when you’re a teacher, I think, to take on that responsibility because it kind of develops your social importance. And I just say, we should say no to that. And get compensation, not in terms of social importance, but rather like in spendable dollars and monies.

Bethany Lockhart Johnson (19:10):

I’m learning more about you, Dan. And you know, this is what I’ve gotten from that answer: If you’re gonna dream, dream big. Right?

Dan Meyer (19:17):

Is that what you got from that? I don’t know. I think I’m trying to dream realistically.

Bethany Lockhart Johnson (19:23):

No, like if we’re gonna say, “Maybe teachers shouldn’t be responsible for serving breakfast in the morning,” well, because we want every child to have access to nutritious and filling food at home and time to eat it in the morning, right? It’s bigger than just, “I don’t want the teacher to have to do this.” So we’re dreaming big. We’re saying this should be the LEAST that students have access to, right?

Dan Meyer (19:53):

Yeah. Yeah. I’m here now. I’m with you. I like that dream. Where we take care of folks in their lives outside of schools. So schools don’t have to be the one linchpin for every kind of social outcome. Like currently a lot of them run through a school ’cause we don’t do a good job of setting up other ways to meet those needs. And we should.

Bethany Lockhart Johnson (20:16):

And we’re also recording this in, what, two weeks, a week, after a tragedy where students and teachers were killed in the classroom. And I think both of us are taking some deep breaths and recognizing that there’s a lot of debate that is happening about what teacher’s role should be in preventing this in the future. And I don’t know if you’ve done drills in your classroom that are supposed to help mitigate disaster, but you know—collective deep breaths— <laugh> is where we’re at right now.

Dan Meyer (20:52):

Yep. The idea of “we should arm teachers” is another example of no, we should not do that. We should solve the tendency towards violence outside of the classroom so that teachers and students can teach and learn. That sounds awesome to me.

Bethany Lockhart Johnson (21:06):

Collective deep breath. Whew. OK. So what else you got for me, Dan?

Bethany Lockhart Johnson (21:33):

Ooh. So I feel like I’ve heard that in many teaching PDs. “I Do, you do, we do.” Actually I feel like I’ve seen like more “I do, we do, you do.” Like graduated release. I do it, then we’ll do it a little bit together, and then now you have permission to do it. And I feel like in directed draw, that’s a hundred percent true. Like I’m gonna show you this and then you draw it. And then you cut here and then you do it. If we’re trying to create this, like I’m teaching this new art technique. But in mathematics, I feel like that’s really not what I want my classroom to look like. I want to support my students and set them up for sense-making, and then I want them to try it out and I don’t want them to solve it the way it first comes to mind for me. I wanna see how they make sense of it and how they solve it. And then I want us to share it with each other so we can grow together. So I think time and place for “I do, you do, we do,” or “I do, we do, you do.” Or shoo-be-doo-be-doo-be. Yeah. You?

Dan Meyer (22:44):

I’ve got nothing. I have nothing to add. I thought that was just an excellent summary of a classroom I would love to be a part in, love to teach. I think it’s a certain tool in the toolbox that I think is overused. But it’s also a tool that can be useful in the case of certain kinds of operations. There are some operations that do benefit from “let me just show you how, like one way you might do this.” I don’t know. I’m like helping my kid whack a nail into a board and there’s a moment where it’s like, “Hey, actually, lemme just show you one way you can do this,” and do it, and then that’s helpful in some moments. But for so much of math, a lot of math does not relate to the operational kinds of fluency. And in those instances, it’s a little bit…it’s not a useful tool, I don’t think, for those kinds of skills and ideas.

Bethany Lockhart Johnson (23:34):

I’m thinking of tool talks in my classroom. So in kindergarten, many of the tools that we use in math and just in class in general, are new to the students. And if I tell them, this is exactly how you should use this tool, then I feel like I’m taking a lot of the sense-making away from them. But if I introduce the tool, show them how to use the tool safely, show them this is not a safe way to use the tool, chewing on this is not safe. That’s not how we use this tool. This is how we take care of it, et cetera. But then support different modes of using the tool that are gonna help them use it to solve problems and make sense, I think…but I guess—Dan, have you heard “I do, you do, we do,” or is it “I do, we do, you do”?

Dan Meyer (24:22):

I’m with you. And I think that it got clarified post-tweet. But yeah, it typically is “I do, we do, you do,” the gradual release of responsibility it’s often called. And I, I have heard people do what you described, which is…what is it? It’s “You do, we do, I do”? Like an inversion of that? Like have people do a thing that I can do that’s not too, too abstract for them, and then like “We all do something together, and then I’ll offer a summary of what we learned,” is one way that goes. I like that tool as well.

Bethany Lockhart Johnson (24:53):

I think particularly, at least I’ve seen in elementary classrooms, there’s sometimes this fear of letting students just try it out before I’ve really showed them, “but this is how it has to be.” And what I am most excited about is supporting students and creating a classroom environment where students don’t need my permission or need my direct “this is the only way to do it.” Instead, it’s like, yes, there’s lots of things we model. But there’s also like, “Hey, what do you think? How do you think this should be used?” And the joy of that exploration.

Dan Meyer (25:30):

Yeah. There’s a feeling of efficiency that comes from “I do, we do, you do,” for some kinds of math, but it’s undercut in my experience by what it cultivates in the students, which is “I’ve gotta wait until the teacher does before I can do anything.” So it pays off real diminishing returns over time. And it’s, just for me, an exhausting way to teach. Always being the bottleneck for new learning is a total drag.

Bethany Lockhart Johnson (25:55):

Ooh, what a great way to describe it. You do not wanna be the bottleneck. You want to be…what’s the other thing? The facilitator? What’s the opposite of a bottleneck? The flowing river? The…The…Help me!

Dan Meyer (26:10):

Hit us up in the replies. I dunno. The opposite of a bottleneck. That’s what you wanna…you wanna not be the opposite? No, you want, yeah. We got this here. We’ll figure it out. We’ll get back to you. <Laugh> OK. Well, folks, those were a few of this year’s fire tweets. It’s been fantastic chatting with you—

Bethany Lockhart Johnson (26:29):

Dan.

Dan Meyer (26:29):

—Bethany, About all those—

Bethany Lockhart Johnson (26:32):

Dan. You know, my favorite thing to do is interrupting you, Dan. I have to interrupt you because we can’t end fire tweets, Dan, without including a tweet from you.

Dan Meyer (26:43):

Oh, that’s true. I do have my moments. Yeah, we should. We really should. <Laugh> Do you have one in mind?

Bethany Lockhart Johnson (26:50):

No. Dan. Yes. I loved…you tweeted recently, “How many years have you been teaching?” Which, OK. “What Has been like the most influential? Like, what, OK, blah, blah, blah.” <blathering noises> You tweeted, “How many years have you been teaching? And at this point, what has most influenced how you teach?” And you gave some ideas: A methods course, PD sessions, curriculum, TV and movies, et cetera, et cetera. And I love that you put that out there because this episode is coming out as we’re wrapping up another school year. And it also got me thinking about summer and what teachers sometimes do during the summer, but what we might need to do this summer for self-care. But I’m really curious. I love that tweet. And I’m curious, Dan, what did folks say was the thing that had most influenced their teaching and what’s most influenced your teaching?

Dan Meyer (27:49):

Ooh, yeah. People’s responses to this one were really fantastic. I came into this, I was flying to the Association of Mathematics Teacher Educators conference. And I just found myself wondering, so, the pre-service year, the one year of, like, you’re learning how to teach, is how we did it in California. Like how much of that has still infused my practice? And in what ways? I don’t think I think about that stuff consciously, but I think that did like set me up with a lot of images that I would be unpacking for going on two decades now working in education. I think conversations with people, I think observing classes, I don’t think that like the one-day PDs, the one-day development days throughout the year, four times per year, I don’t think those stuck to me much. I think that this summer, I have learned so much, just an embarrassment of riches, from non-educational sources. From other disciplines. From storytelling, for instance. From how people have constructed movies I like. I am proud of the way…one of the aspects of my character that I’m proud of—it takes a lot to admit this, as I’m sure you understand, Bethany—but to integrate lots of wacky stuff and pick from it and use that to affect my practice and teaching has been really positive. So for this summer, I hope that people read a good beach book and just kinda let your teaching mind rest a little bit. And in doing so, create some openings for new ideas about education from other parts of the world. Kids! Having kids has been helpful. I don’t know! Just everything! It’s such a big job, education. Everything has so helpful. What about you? What’s an influence on your practice that might surprise me or other folks out there in MTL land?

Bethany Lockhart Johnson (29:52):

Well, I don’t know about surprise. I mean, I definitely feel similarly, like methods courses absolutely impacted my teaching. But I feel like opportunities where I was able to observe other teachers and where I was able to have conversations with folks about their practice, that has deeply impacted me. And books I’ve read. I mean, honestly, I’ve learned so much from sharing with other teachers. Like, for example, maybe I’ll bring student work and we’ll talk about it. And we kind of create this conversation together about how we wanna come back to the students based on the work we see. Those type of moments where we’re collaborating and we’re bringing multiple perspectives to the table, that I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day. So that continues to surprise and delight me. And thinking about this summer, I think there’s a lot of creativity and joy that can come out of the marination process, when you’re just kind of sitting back and healing yourself, whether through sleep or sunshine or time with friends and family or whatever that looks like for you. I think there’s a lot of creativity that can come from that place of fertile, you know, wellness. I never think of that as wasted time. I think of that as getting the soil ready for all that’s gonna come in the fall. And that being said, I also think it could be a fun time to dip your toes into something that you are excited to read, that you might not have a chance to read during the school year that could be teaching-related. So it’s like very low pressure, like, “Oh, I’ve really wanted to read more by this author. I’ve wanted to read this article. I’ve wanted to dip into this topic.” And not with a pressure, but just with a curiosity. And, yeah, I think so often we as teachers love learning, and to give yourself space to learn in whatever that looks like can be a real gift.

Dan Meyer (32:09):

Yes. And if you need book recommendations, hit the MTL back catalog of episodes. Loads of folks that we interviewed have real good books out.

Bethany Lockhart Johnson (32:16):

Yes!

Dan Meyer (32:16):

Think about it. Think about it.

Bethany Lockhart Johnson (32:22):

One quick recommendation: Again, gotta plug Antony Smith and Allison Hintz’s book. I read Mathematizing Children’s Literature before we did the interview, but this summer I wanna read all the children’s books that they mention. I just wanna go to the library and read all those children’s books. I wanna read them to my son. I wanna read ’em to myself. So, you know, diving into some good YA, children’s books, just, like, TLC. Dan, thank you for such a rich season and a chance to have so many interesting conversations. It is genuinely a joy to learn with and from you.

Dan Meyer (33:00):

Likewise. And always hope to see you folks on Twitter now and then. Let us know what you’re up to this summer at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. We’ll be there tuning in now and then. It’s been a treat interacting with you folks over this last season. Take care and until the new season, so long.

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What Bethany Lockhart Johnson says about math

“I’ve learned so much from sharing with other teachers… Those type of moments where we’re collaborating and bringing multiple perspectives to the table, I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day.”

– Bethany Lockhart Johnson

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S4 – 01. Joyful math teaching with Kanchan Kant

Podcast cover for "Math Teacher Lounge," Season 4, Episode 1, titled "Joyful math teaching," featuring Kanchan Kant, described as a math educator and transformative leader.

This season on the Math Teacher Lounge podcast, we follow the theme “joyful math” and uncover its meaning.

In this episode, Kanchan Kant joins Bethany Lockhart Johnson and Dan Meyer to discuss the key, early investment she makes at the start of the school year to ensure her math teaching will be joyful for herself and for her students for the rest of the year.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:00):
Okay, we are recording. Hey folks. Welcome back to Math Teacher Lounge. (laugh)

Bethany Lockhart Johnson (00:06):
Hardly off to a rocking start.

Dan Meyer (00:06):
Yeah. Yeah. <laugh> Did you like my energy there? Hey folks. Welcome back to Math Teacher Lounge. It’s a new season with your host Dan Meyer. And…

Bethany Lockhart Johnson (00:15):
I’m Bethany, Lockhart Johnson. How’s your summer Dan?

Dan Meyer (00:22):
Summer for me feels really hectic as we prepare, here at Amplify, for the new school year, and everyone’s starting these new math programs. So I’ve been feeling quite amped up, like usual in the summer. But also, my kids started big kid school. So I’ve been seeing the educational system from the role of a parent and all the anxieties and I worry, will I be my kids’ teacher’s most annoying parent <laugh> … So what kind of math curriculum you using? Oh, have you heard of core counting? Can I lead a math center? What’s this worksheet about? I’m really worried my kids are just overall gonna hate my vibe when I come around their classes. Uh, <laugh> so lots going on with me.

Bethany Lockhart Johnson (01:06):
It’s already happening for me and I have a toddler.

Dan Meyer (01:10):
<laugh> There we go. Anyway, that’s what I’m up to. That’s how I’m feeling. I’m curious how you’re doing. We haven’t chatted in a while. We’re excited about the podcast, but it’s been a bit, you know? Bethany got a break from me and my antics over the summer. So, how are we finding you here, as we ramp up to the new season?

Bethany Lockhart Johnson (01:24):
Uhhhh. Well, let me just tell you, I have a toddler. That’s kind of all I need to say. Except that’s not all I will say. Of course, I’ll say more. I am exploring, I’m dipping my toe into the extracurricular toddler activities; the music classes of the toddler world, the creative movement of the toddler world. And yeah, I have lots of opinions and lots of things to say about the teachers. And I’m like, Ugh, I can’t wait to be room mom. And just like…<laugh>

Dan Meyer (01:55):
Just let it rip, you know?

Bethany Lockhart Johnson (01:57):
I have opinions on everything and just hope I don’t get kicked out of the class.

Bethany Lockhart Johnson (02:05):
It’s been an eventfully recharging summer and we are ready for this new season. And in fact, we’re so ready that we decided that we were gonna mix up this season. Just a, just a tiny bit. Shall I explain Dan?

Dan Meyer (02:21):
Yeah. Let’s do it.

Bethany Lockhart Johnson (02:22):
So we have loved all the different topics that we have explored in the Math Teacher Lounge world, but we kind of feel like we need to do some more deep dives. So for this season and the foreseeable seasons …

Dan Meyer (02:38):
We’ll see how it goes.

Bethany Lockhart Johnson (02:38):
Let’s stick with this season. For this season. We’re going to be exploring a singular theme.

Dan Meyer (02:46):
We’re not bouncing around. Yep. We’re not bouncing around from a guest to guest going on whatever shiny thing in the river bed catches our eye. We’re gonna take one theme and see where it goes. What we working with here this season?

Bethany Lockhart Johnson (02:57):
This season, we are going to be exploring the idea of joyful math, joyful math. And Dan, the question I have for you is, is the term joyful math one that you use on the regular?

Dan Meyer (03:10):
No, it definitely is not. I think that joy and math are very rarely, you know, connected in the popular mind. Number one, and number two, you know, I’m kind of an ornery fellow, so that’s not my natural kind of description of math. But we decided that it feels like an important one at the moment, because a lot of math teaching–a lot of teaching in general, math teaching in particular–math teaching is often not a joyful discipline for students, where, you know, I’ve done some research where you look at what people type into Google. And I looked at like, what they…why am I bad at X? And I looked at that for where X is math, where it’s science, where it’s reading, where it’s history. And it was just wild to see how many more hits there are out there on the Internet for “why am I bad at math?” People don’t really associate math with joy, but also we’re looking at joyful math in terms of joyful math teaching. Math teaching, teaching in general, is a tough field at the moment with a lot of teachers leaving teaching. And those who remain are having a lot of soul searching and thinking about, why am I here and how do I sustain this work? And in an environment that seems hostile to my interests or my talents, or work-life balance. And so that’ll be the theme that we’re gonna kind of uncover over the course of our season, talking to various interesting guests, including one today about, yeah, joyful math teaching and joyful math.

Dan Meyer (04:43):
And to help us think about what joyful math teaching looks like, we figured we’d first look at what UN-joyful math teaching looks like. It happens to be the case that we’ve been in a pandemic as you might be aware, and teaching has been challenging. And the NEA, our National Education Association, surveyed its member teachers and asked them the following question … Gave a list of issues that school employees have experienced and asked, for each one indicate how serious of a problem this is for you. This is a survey where more than half of members said they are more likely to leave or retire sooner than planned because of the pandemic. And this is almost double the numbers from July, 2020. It’s really hard to keep track of teacher departures and unfilled vacancies across states. So I don’t wanna like blow this up out of proportion, but it does indicate some real challenges in teaching. So Bethany, I was curious, what do you think like at the top of the list, like what kinds of factors, issues facing educators would you imagine there are?

Bethany Lockhart Johnson (05:48):
So if I’m to understand you correctly, these are reasons someone is not actively experiencing joy in the profession of teaching. Like why would they leave?

Dan Meyer (05:58):
Exactly.

Bethany Lockhart Johnson (05:59):
Well, the number one thing that came to mind for me, well, okay. Wait, wait, one other caveat I need to ask about, you said specifically pandemic-related or just in general, because if it’s pandemic-related, then I think, well, there’s health issues, right? That people are concerned about, but in general, the thing that came to mind was a lack of support from administration districts, lack of funding, and overcrowding in classrooms. Like, you know, I saw somebody had 40 students in their classroom. So those are the two things that I can imagine like top on someone’s list that would make them experience less than a joyful day.

Dan Meyer (06:44):
Yeah. There’s a bunch of you’re kind of identifying here. So number seven on the list is lack of respect from parents and the public, which is like 76% of teachers call that out as serious for them. Others that you kind of circled around in terms of resources go like, not enough planning or unstructured time in the job kind of ties into resources. Yeah. But there’s others that are on the list that I’m curious, you wanna take on the swing at it, given what I’ve said here,

Bethany Lockhart Johnson (07:15):
I feel like too much being asked of them, like being asked to wear too many hats, like they’re being asked to not only teach their class, but also cover all the vacancies and supervise recess and, you know, make a delicious, nutritious lunch. That’s what came to mind. Am am I close?

Dan Meyer (07:33):
Yeah. Number four on the list, unfilled job openings leading to more work for remaining staff. People covering, you know, not just the kind of external to teaching work like you’re describing, but also just taking on like losing your prep period, to take on a class that has been unfilled for all kinds of reasons. Yeah.

Bethany Lockhart Johnson (07:54):
Yeah. I’ve only gotten the fourth. Give me one clue, one clue about …

Dan Meyer (07:59):
So, I mean like, so number one is general stress from the coronavirus pandemic, you know, which I feel like …

Bethany Lockhart Johnson (08:06):
I mentioned that.

Dan Meyer (08:07):
I’ll give you that one. Yep, yep, sure. And then number two, close behind, is feeling burned out, which I think ties into what you’re describing as well. I’m giving Bethany credit on that one. The third one is very different from the ones you’ve been describing. I think I cannot in good faith give you even partial credit for this one. I’ll just say it. Student…

Bethany Lockhart Johnson (08:28):
Wait! Dan, this is not how you give clues.

Dan Meyer (08:31):
Here’s a clue. It’s student absences due to COVID19. It’s really hard to deal student absences. That’s your clue.

Bethany Lockhart Johnson (08:40):
That wasn’t a clue that you told me.

Dan Meyer (08:43):
Yeah, let’s see. I think that’s largely it. There’s also pay is too low, is on the list; student behavioral issues, on the list. And I think that about covers it. So all of that, that basket of items has led to more than half of teachers in this survey, saying that they’re more likely to leave or retire from education sooner than planned. And I don’t know. I think we all know teachers who have bailed.

Bethany Lockhart Johnson (09:08):
I’ve never played a board game with you, Dan, but if we ever play a board game, we’re gonna work on your clue giving, ’cause I want to keep guessing. And you just told me.

Dan Meyer (09:22):
Yeah. Yeah.

Bethany Lockhart Johnson (09:22):
In all seriousness, the <laugh>. In all seriousness, I think yes, the stress of the pandemic and students being absent, what some folks are calling unfinished learning, all of those pieces do play into it. But a lot of those things that you’re mentioning on the list are things that are not unique to the pandemic, right? Like those are things that I feel like there is some modicum of control that we could have over shifting the way the culture of the teaching profession is going so that we could create a more joyful experience for educators, administrators, and students.

Dan Meyer (10:03):
Yeah. Good call out. That’s exactly right. We could tax the people who are not in the classrooms more and increase the pay to classroom teachers. You know, there we go.

Bethany Lockhart Johnson (10:11):
Oh. Bingo. Why didn’t we ask you sooner Dan, for your wisdom.

Dan Meyer (10:15):
Yeah. I’m … solved by Dan. Yeah, good point though. So I read that and yeah, I think that there’s been some … people have critiqued the NEA for being very alarmist about teacher departures as the year has ramped up. It has not been quite the flood of departing teachers as was predicted and thank heavens for that, but we should still be very bummed if teachers are unhappy and wanting to leave and feel like they can’t leave. That is definitely not good. So we were really excited to bring to the table, someone who is just a very joyful teacher and one in a very intentional way. Someone who has a lot of discipline in how she approaches the job and the students in it and tries to create a joyful environment for herself, Kanchan Kant. Kanchan is a math and computer science teacher at Newton North High School in Newton, Massachusetts. She’s been sharing her love for math with her students for the past four years, while also being instrumental in setting the culture and ethos of the math department at her school in her role as the assistant department head. We welcome you on the show Kanchan to help us understand joy and math teaching. Thanks for being here.

Bethany Lockhart Johnson (11:29):
Welcome!

Kanchan Kant (11:30):
Thank you for having me. I really appreciate it.

Bethany Lockhart Johnson (11:33):
One of my friends, her son was asked as his first math homework assignment to write out his math bio. And I loved that idea because we got to hear a little bit about your bio from like a broader perspective. But if we were to ask about your math bio, I will speak for myself to say like, automatically certain images flash into my mind, right? To think about my relationship, my evolving relationship with math. But I’m so curious if I was to ask you, what’s your math bio? How did you become the person, mathematically speaking, that you are today? Would you mind sharing a bit about that?

Kanchan Kant (12:10):
Of course I would love to. So I was born and raised in India and I belong to a family which considers mathematics to be extremely important to succeed in life. My father used to have me add and subtract license plates since I was four years old, when we were out and about. I loved math in school, it just made like complete sense to me. It was logical and you know, it was my favorite subject. I loved it all through high school. I had a confidence speed breaker in undergrad. When in my second semester I almost failed the engineering math course that I took. That was the first time math felt like too much and not like my best friend, which it was supposed to be. So it was a while before I could summon the courage to take on another math course in college.

Kanchan Kant (12:56):
But once I did that, it was like old times. I realized I had to persevere through the challenging bits. And once I did that, it started to make sense again. And through my journey, as an educator speaking to people from various backgrounds and like coming to the United States, I realized that math is challenging for everyone at one time or another. For some people that is elementary school. And for some others, it is college or even later. Either way does not mean that you are not a math person. When I was in college, I felt I was not a math person. Whereas my sister, my very own sister said the same thing about math in middle school. Both of us use math every day. And we are definitely, definitely math people. So for me to be a math person is to persevere, to approach problem-solving in a logical manner, and to find the joy in the process ,as well as the answer.

Dan Meyer (13:47):
That’s wonderful. Yeah. A lot of people, have a moment where they feel like almost betrayed by what they thought was a close friend of theirs, with math, where it’s like, wait, I thought we were tight. You know, I thought we were cool. You and me. And there’s that moment. And I wonder if that’s been a useful moment for you to, you know, bring back now and then as a teacher with students who might feel that even, you know, in high school or in a secondary school as a kid.

Kanchan Kant (14:15):
Absolutely. Like when I talk to students and tell them, yes, I had difficulty in math too. It has not always been easy for men and there are still things I struggle with sometimes, then it’s like more modeling for them that you have to persevere, you should persevere. And once you do that, it makes sense and you can feel successful. So, almost every year I end up sharing the story with my students.

Bethany Lockhart Johnson (14:38):
There’s so much value in that, right? That you are sharing that vulnerability with students. And to say your relationship with mathematics has not been, you know, smooth sailing the whole way through. There were times when you had to work harder than others.

Dan Meyer (14:55):
Yeah. Really fun to hear about you and your father as well. I tried to ask my five-year-old to do some skip counting the other day, like, okay, cool, you’re hot stuff. You can count, you know, up by ones, but what about by twos? And the moment really fell flat. And I watched myself becoming the kind of parent who is whose enthusiasm for math is one day resented by his children. I feel a lot of, yeah, I felt your anxiety Kanchan, with math itself. And now I feel anxiety as like someone who loves math and loves to teach math and may one day alienate the people closest to him. <laugh>

Kanchan Kant (15:31):
I don’t like that future. I have a three-month-old. I do not like this future of mine. If I have to go through what you’re going through. Uh, oh, <laugh>

Dan Meyer (15:38):
You got this. So Kanchan, you’re going back to the classroom coming up here at the time of this recording. It’s a few weeks out. And we’re thinking about like the kind of ways that math teachers sustain a disposition that is joyful. How are you feeling right now, as far as going back to class after this summer? Are you feeling excited, anxious, some combo, tell us about it.

Kanchan Kant (16:01):
I would say combo, but more excited than anxious. I was on maternity leave, as I mentioned, before the school year ended, and I missed the students dearly. Like, my students are what gives me hope in the darkest times. They are thoughtful. They’re empathetic. They’re so eager to learn. And very soon into my teaching career, I realized that if I take the time to get to know my students and make them feel safe and seen in my class, teaching them math would be so much easier and so much more fun. So I’m a little worried about this being like fourth year into the pandemic, but let’s see. Last year I felt the students were finding it difficult to interact with and work with their classmates because they had not been doing it for so long. So I’m hoping this year would go a little better and I’m really looking forward to working with them and building community and see how it goes.

Dan Meyer (16:53):
So if I’m understanding you correctly, you are feeling very well recharged here. You had basically an extended summer with this maternity leave, basically just like a lot of rest and relaxation over the last, like several months. Um, if I get you here. So anyway, I’m glad for that for you. And, yeah. I also hear you on the difficulties of teaching post pandemic or mid pandemic. Anyway, thanks for sharing that.

Bethany Lockhart Johnson (17:19):
What I love is I hear you being so intentional, like thinking about those relationships and thinking about that community that you want to build, you know? How do you hope that you’re gonna cultivate joy in your teaching this year? I mean like, are there certain routines or disciplines that you specifically call forth or that you think other teachers should think about?

Kanchan Kant (17:41):
So at the start of every school year, I dedicate like about three to four weeks to set up the classroom culture, both social and academic. I call my classroom a learning community. We start with community circles, we do icebreaker activities, group building and all those kinds of things. But most importantly, we do a lot of collective problem solving. So I try to present students with problems, which can be solved using multiple strategies and have multiple entry points, basically they are low floor, high ceiling problems. These could be stretch problems that they have seen before, like concepts that they already know or logical puzzles, or just wrapping their heads around different problems. Then I have students share their strategies. The more strategies they have on the board, the more successful I think the problem was. Every year, inevitably, students come up with strategies that I’ve never ever seen before for the same problems that I do.

Kanchan Kant (18:35):
And so I have students come up to the board, they would share their strategies. If they’re not ready for that, they would walk me through their strategies. And I would write their name on the board with different colored markers and everything. Basically to give them choice and agency. It also shows them that the process of doing the problem is so much more important than just getting the right answer and that it is okay to make mistakes in our learning community. I use a lot of vertical whiteboards, some concepts and problems align so well with the vertical surfaces, especially when students can explore together, learn from each other. So I do a lot of that. As for routines, I would say consistency is the key. I consistently reinforce that I want to hear multiple strategies, that it is okay to make mistakes. I am willing to learn from you as much as you’re willing to learn from me. So all like that consistency in culture more than the routines, is I feel important to bring that joy.

Dan Meyer (19:29):
That’s super interesting. Thanks for that. So I’ve heard, I hear two common objections or two common concerns to using rich tasks or doing problem solving. And I think I heard like answers to those two common reservations within what you described there, but I wonder if we can kind of bring it to the surface. And so one of the reservations is around the time that those problems take and another is that teachers often feel like, well, I might be surprised, you know, I might not know what to do with what a student does. And I thought I was hearing like some very interesting answers to both of those kinds of reservations from you, but would you just surface those up if you have some.

Kanchan Kant (20:09):
So in terms of time, I feel if I spend the time at the beginning of the year, setting up that community and doing those problems, it makes learning the math and learning the concepts much more faster throughout the rest of the year. And even when I am trying, like, even throughout the year, if we are doing a warm up problem, as I call it, which has multiple strategies, that’s gonna clarify so many more concepts when we talk about those five, 10 strategies of doing the same problem, then going through multiple problems to clarify those concepts. So for me, it actually saves time instead of taking more time.

Dan Meyer (20:43):
Hmm. That’s super interesting. It’s an investment I’m hearing from you that, yeah, you might not be hitting the curriculum quite as hard early on, but that all of a sudden you’re in the spring and it’s like, oh wow, we’ve been moving so much faster through territory that has been more challenging. What would you say to you know, comfort concerned educators or to address the concern that I don’t know what I’ll do with these five, 10 different strategies. You say, I always see strategies that I’ve never anticipated. Like, it’s a good thing, you know, like you’re happy about that. I think that’s a very intimidating thing for lots of educators. What would you say to that?

Kanchan Kant (21:19):
I think like, for me, it’s a good kind of discomfort. That means like a student is teaching me something, which is actually doing two things. One modeling for them that I’m willing to learn and that I don’t know everything. And two, also telling them that they’re mathematicians. They know what they’re doing. They’re not just receivers of math, they’re actually creating it. So for me, that is very, very important.

Bethany Lockhart Johnson (21:43):
I love that so much. When you think about your students and you’re about to start this new school year, how do you hope your students will experience math in your classroom?

Kanchan Kant (21:53):
So I hope my students can see the beauty and joy of math. They can see that math is a way to see the world and not as something we have to do to get through school. So my hope for my classroom is that we can learn to problem-solve and persevere through problems and learn from each other and not just get through the curriculum. Because like, I think math is a wonderful way to learn these skills, which are so important when you get out of high school. Most importantly, I just wanna make sure that my students see themselves as mathematicians. And like one of the things that like I have to share with you that, because one of my highlights for the year has to be the Desmos art project. I do it every year for the past three years, I think since I’ve started teaching sophomores. And I do it as a unit assessment for functions and my students design something that is meaningful to them, using all the different kinds of functions and colors and shading and everything that you can think of in Desmos.

Kanchan Kant (22:49):
Thank you so much for that though. It is such a cool way for me to see them do that. Like I have seen such amazing creations. One of my students once made a scaled working model of a solar system wherein the planets were rotating at relative speed. The Saturn had rings and they were like asteroids and everything. And then it was beautifully done. Then there was another one who did a very, very detailed whale scenery, her reasoning. I wanna be a Marine biologist and I wanna study whales. So this is what is meaningful to me. So like that one project is just a culmination of everything that I want students to see in math and in my classroom. And like I do more of those kinds of things, but that is one thing that it’s one of the highlights of my year.

Dan Meyer (23:32):
That’s awesome. I love hearing that. Yeah. Shout out to the team at Desmos Studio for building and continuing to develop a tool list that so good for art and animation, even, in addition to some mathematics with a more computational kind. Yeah, that’s really exciting. What’s interesting to me is that you teach high school, and I think that like students at that age have a very well-defined sense of what math is and who they are as mathematicians. And then along you come, you know, and like offer this really interesting disruption, you know, in their sophomore year of high school that like, oh, this can be totally different, this relationship who I am. And that’s just really exciting. I imagine it’s a very surprising year. I would imagine that first month, I would imagine is a very surprising month for a lot of your sophomores.

Kanchan Kant (24:20):
Yeah, it is. I mean, that’s why I take that time to build that community because then that sets the tone and the relationship that we’re gonna have for the rest of the year. Students get to know how to work with each other. They get to know each other, that whole piece is like super important because of that.

Dan Meyer (24:35):
Yeah. That’s awesome. So here’s the thing, like we’re exploring these ideas about joyful math teaching and what it will take to cultivate restore, reclaim joy in math, teaching this next year. And you’ve offered us these really interesting ideas some, some very, you know, philosophical and some technical about how you spend time in ways that lead to joy in the spring for you and your students. Love that. We don’t want to as hosts, as researchers, investigators of this joyful math teaching idea, we don’t wanna say it’s all up to teachers to change their mindset, to do different technical practices, and that will lead to joy. We also wanna be really attentive to the environment that surrounds you, the people who are around to support you, the policy makers, the social structures that influence your joy in very significant ways. So what we would love to know from you is, how are you supported by the greater educational community in keeping your joy in your work? I’m thinking, especially about administrators, you know, front office, staff, parents, even, can you name a few ways for those sorts of people who listen to this podcast, how they can cultivate a math teacher’s joy this coming year?

Kanchan Kant (25:54):
I would say trust. I think more than anything, educators want administrators, parents, the greater educational community, to trust them to be professionals and experts in what they do. That does not mean that we don’t want to learn, that we don’t want feedback, that we don’t wanna get better. It just means that we keep the wellbeing of our students as our top priority. And we would like to be trusted to do just that. Also just keeping in mind that whether we like it or not, we are still adjusting to the new normal while recovering from the worst of the pandemic times. A lot of us are recovering from trauma, a lot of our students are recovering from trauma, and we need time and space for our social and emotional wellbeing.

Dan Meyer (26:35):
Yeah. I’m really curious, Kanchan, you’ve done a lot of work in your area with your grading team and in thinking about equitable and biased resistant instruction. I’m curious how you see those efforts lining up with creating joyful math learning conditions for all students, not just students from a dominant culture of math doing, let’s say.

Kanchan Kant (26:55):
For me, creating an equitable environment in a classroom is most important because once you have that, that’s when you have the relationships, that’s when you have the culture, that’s when all students actually thrive. So to that end, our school and our department has been doing a lot of work around grading practices. We actually assess how we grade students, where the bias is, what we can do to make them more bias resistant. Should we move to mastery based grading? Like that’s something I’ve been experimenting with for the past two years. Through the pandemic, I started doing mastery based grading so that my students can get more opportunities to show that they have learned the content. And so like just little things which help bridge the opportunity gap. I would say another project that our school undertakes is called the calculus project wherein we have students in Black, Latinx, and low income families sign up for that and are recommended for that. And then we do summer classes and yearlong support to preview the material for next year, not as a remedial class, but to actually set students up for success in AP classes for the coming year. So we have the community buildup. We have the courses we have like math support. It’s a very beautiful thing actually. And I’ve been working with that program for four years now. So yeah, so those are my ways of creating more equity in our school.

Bethany Lockhart Johnson (28:19):
That’s so beautiful and I deeply, deeply wish you had been my high school math teacher. And I have to say that the theme that I kind of keep hearing is this intentionality. How you are so intentional about your work, not just with what your students are learning, but how they’re learning it, how they are engaging with this subject and how they are building their own relationship. You talked a little bit about your relationship over the years with mathematics, but how are your students building that relationship? And so I’m just very appreciative of you sharing that with us and with our listeners. And we are so excited to have learned a little bit about, like, I feel like I got a little mini peek into your classroom.

Kanchan Kant (29:03):
Thank you.

Bethany Lockhart Johnson (29:04):
And can I say that if you are listening to this prior to October at NCTM Los Angeles, you will get to hear Kanchan Kant speak at Shadow Con. Can I give that away, Dan? Is that, is that …

Dan Meyer (29:23):
You can drop that. Yeah, It’s pretty top secret.

Bethany Lockhart Johnson (29:26):
Can I drop it?

Dan Meyer (29:27):
Yeah. Do it. Yeah.

Bethany Lockhart Johnson (29:28):
Dan and I will be in the audience cheering you on. It’s been a joy to learn with and from you, and we are so excited to just, you know, kind of keep marinating on some of these ideas about how we can continue to be intentional about creating joyful math spaces for our students. Thank you so much for joining us today.
Kanchan Kant (29:49):
Thank you so much. It was a real pleasure.

Dan Meyer (29:57):
So Bethany, I loved hearing Kanchan talk about both her, just her joyful personality, but how she cultivates joy through craft and technique through, you know, through the various ways she interacts with students in intentional ways, that those make the job more joyful for her. And I thought it was really interesting to hear her talk about how autonomy is the thing that she needs most in her job environment to feel like she can be joyful in her work. In that context, I saw … something on Twitter popped up for me in my, you know, my many Twitter wanderings. This is a segment we might call, Dan finds something on Twitter and shares it with Bethany. Which we’ll tighten that up a little bit, but I’m sending this over to you right now, and I’d love to know as you check this out, what you’re seeing and what you’re thinking and we’ll chat about how it relates to our interview here in a moment.

Bethany Lockhart Johnson (30:47):
All right. I’m ready, send it over. It’s opening. So this appears to be a document by the way, outlining, maybe it’s a district, maybe it’s administration, they’re outlining expectation type and expectation guidelines. Hmm. Okay. And these are lesson plan expectations. Expectation type. Timeliness. Plans are due no later than 6 p.m.. Friday prior to the week of instruction. Comprehensive, all activities for the week for all subjects taught should be included and complete by due date and time. Plans should have at minimum, the following, see template for detail. Okay. So then it goes through the things that the plans need to have, the topic title, target, the objective, the activities, the sequence, the display agendas to be displayed backward design. Okay. So basically <laugh>, we were just talking about, overwhelm. And when I see this document, listeners, have you ever received something from your administrator or anyone, let’s take it more broadly, that is requesting something of you that would take so much time to complete and be so out of touch with your lived reality that it really genuinely sucks the joy out of the experience.

Bethany Lockhart Johnson (32:25):
So the first thing that I see that this document, and again, the goal of whichever district’s plan this is, is that these expectations will lead–now, mind you, I am a fan of like, you know, looking ahead, I’m not a like, oh, hey, what am I gonna teach in five minutes? No, but the idea that then it lays out all of the things in such detail that you’re gonna be teaching feels like one of those pacing guides where, oh, move on to the next page, whether or not your students have any sort of sense making whatsoever. So my first thought is, oh, sad. I have to stay here. I’ll be there past 6 p.m. But I’m gonna be there trying to make the plans for the next week based on what I think my students have learned. Hmm it’s sounds like a little bit of a bummer. Dan, what did you think when you saw this and did I do a fair description of what it is?

Dan Meyer (33:25):
No, it’s, it’s a tough one to describe, ’cause it’s basically a wall of text and commands from an administrator who like, I just have to imagine has just like acres and acres of teachers trying to beat down their door to teach at this school, if this is how you’re gonna treat your teachers. I mean just, yeah. The idea of having a week… I’m with you, you don’t wanna just like, just jump in by the seat of your pants, but the idea of having a full week of lessons for every section you teach, every prep you teach, planned and submitted with every minute, basically morseled out to different goals. It says down here, you gotta like, for all of these, download a CSV of grades and whatnot and attach those. It’s the sort of thing, like you said, there are some edicts that you get from administration where you just have to laugh or just like, you have definitely missed like what I am willing to do here. It’s so far beyond. Yeah. I can’t imagine it. And it just felt like, yeah, it was a great way to get teachers like Kanchan to feel like a real lack of autonomy. Like it’s this would not work. I don’t think.

Bethany Lockhart Johnson (34:33):
And it’s not even like willing to do. Like, let’s say you’re even willing to produce it. Let’s say that me, the rule follower is like, okay. I’m gonna attempt to meet these demands. One, most teachers were just, you know, they probably would put baloney down there anyway. Not saying that I would, but I’m saying like, it’s clearly just a hoop that they’re having to jump through and two…

Dan Meyer (35:04):
Yeah. Compliance, right?

Bethany Lockhart Johnson (35:05):
Yeah. Compliance, compliance. There you go. And two, yeah, it feels like it’s about control and not trusting the teacher. And I love that. Kanchan said that trust is what she needs. Right? You’re hiring me. Yes. I still have lots to learn, but you’re trusting me and you’re creating an environment where I can continue to learn from and with my students. And if I was being asked to submit this tome every Friday before six, that is predicting, what does it say, anticipating the steps necessary for student mastery? You know, I kind of feel like maybe it’s like that one or two teachers where maybe they feel like, oh, I don’t trust that teacher or that teacher isn’t doing a good job, whatever. We better do this for all of the teachers, but then it’s not gonna change the practices of that one teacher and all the other teachers are gonna be resentful.

Dan Meyer (36:00):
Like if there was like feedback that came back to you on, you know, on lesson plans or there was some like something that was very constructive or productive, like maybe that would be different, but it really just feels like these are gonna go into a digital drawer somewhere and not be looked at, at all.

Bethany Lockhart Johnson (36:15):
Yes. The digital drawer. Like I’m gonna send you this report and then nothing is going to happen with it. Except that four hours of my time. Well, you wouldn’t do it, but <laugh>…

Dan Meyer (36:29):
You’ve worn me down. You’ve worn me down. I’m now putty in your hands and more compliant for the next thing. And I also just wanna shout out the administrator today, who I emailed asking about like a teacher participating in a project and this administrator said, I have a standing policy not to email teachers over summer break, which you know, as administrators out there doing just the good work, you know, trusting teachers, watching out for them, trying to be a force multiplier for teachers, making the road wider, the way easier for teachers. So shout out to y’all doing the out there. Really appreciate that.

Bethany Lockhart Johnson (37:04):
Okay. Wait, wait. About that email thing, quick question. Did you ever check your email over the summer?

Dan Meyer (37:11):
Uh, yeah. That’s one way in which I was the, you know, I just love email, you know? Oh. Someone wanted to reach out. Oh, oh, Banana Republic wants to tell me about new clothes that are on offer. <laugh> I mean like, it’s just, I love those personal emails. So yeah, I did check my email over the summer.

Bethany Lockhart Johnson (37:26):
Somebody emailed me recently and they emailed me at like two in the morning. And because I currently have a toddler, I received the email at four in the morning because you know, the best thing to help myself fall back asleep is to hop on my phone, right? Like I’m already up trying to get my toddler back to sleep. I might as well start scrolling. Anyway, so the person had this little thing at the bottom of their email and it said, I have, something to the effect of, I have really like wonky work hours. I may be sending this outside of the like more standard nine to five. But please don’t feel pressure in any way to respond outside of your time. Would you appreciate that, seeing that or does it make you feel like you should respond? ‘Cause I almost responded at four in the morning, and maybe that says something about …

Dan Meyer (38:15):
They’re telling you not to respond.

Bethany Lockhart Johnson (38:16):
I know it was helpful.

Dan Meyer (38:18):
It says don’t, but you’re like, what if they’re saying that because they really expect me to respond and this is one of many ways that you and I are different. I’m always happy to see that.

Bethany Lockhart Johnson (38:29):
Do you respond? I’ve texted you in the evening because you know I have some wonky hours. Do you respond to things, like where’s your boundary there? Or when you were in the classroom, where was your boundary there? Did parents have your phone number?

Dan Meyer (38:43):
No. I gave kids my cell phone number for a couple years and it was a wobbly experiment. But parents will email, you know, back and forth with you. And I think the best thing to like … I love just like adding some friction, some latency into the kind of the chain, you know, like I hate going like back and forth, like da, da, da, da, and then like respond and then da, da da respond. And it just like goes back and forth. So just like just sitting back for an hour or two hours, you know, not responding, just let someone cool down, calm down. Email just gets you more email. That’s like if you send an email, you are just making it more likely to get more email. It’s a, you know, it’s a problem.

Bethany Lockhart Johnson (39:20):
Are you one of the zero people?

Dan Meyer (39:23):
My inbox is at zero. Most days before work.

Bethany Lockhart Johnson (39:26):
You’re joking!

Dan Meyer (39:28):
I end work every day with inbox, at zero.

Bethany Lockhart Johnson (39:31):
You’re joking!

Dan Meyer (39:32):
That’s just, you know.

Bethany Lockhart Johnson (39:33):
Who are you?

Dan Meyer (39:34):
You know, you should take my life coaching, Bethany. I’ll give you a discount since we’re math teacher, lunch pals. But, um yeah. I can help.

Bethany Lockhart Johnson (39:44):
Thank you for qualifying where our pal-dom lives. I wouldn’t even tell you how many are in my inbox. Point is, if you are actively starting the school year, we celebrate you and we are here and over the next few months, we’re gonna be diving into joyful math and that definition’s gonna keep evolving. But I wanna say something that is making me feel a little joyful, Dan. You ready?

Dan Meyer (40:15):
Tell me.

Bethany Lockhart Johnson (40:16):
You and I, in person, at NCTM, the National Council for Teachers and Mathematics. It’s coming up and we are going to be recording Math Teacher Lounge, live. Live, in person! And I hear there’s gonna be like a t-shirt cannon and there’s gonna be, you know, like musicians marching through the aisles or something.

Dan Meyer (40:46):
A marching band?

Bethany Lockhart Johnson (40:46):
A marching band!

Dan Meyer (40:46):
Trained animals. Yeah.

Bethany Lockhart Johnson (40:48):
But the point is, I’m so excited, Dan. And you know, when I see you, I might just, it’s been so long since I’ve seen you, Dan. I’d love to give you a big old embrace.

Dan Meyer (41:04):
You might just, you might just cry. Yeah. Yeah. It’ll be great. Yeah. It’s gonna be awesome for you folks to see me and Bethany have a real awkward first hug since the pandemic. And, uh, but it’s gonna be a blast to hang with us in person. We’ll have some special guests, probably, some interesting segments. You folks should stop on by at NCTM, if you’re gonna be there. Highly recommended.

Bethany Lockhart Johnson (41:29):
Now, we will be broadcasting that episode. You’re gonna get to hear … we’re gonna record it live. It’s gonna happen. In the meantime, you can find us at MTLshow on Twitter, or you can find us in our Facebook group, Math Teacher Lounge. We can’t wait to hear from you. And we’d love to hear what makes math joyful for you? Where can we add a little bit more joy to you this, this season? So thrilled to be back. Thanks for listening.

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What Kanchan Kant says about math

“Creating an equitable environment in the classroom is most important because once you have that, that’s when you have the relationships, and that’s when all students actually thrive.”

– Kanchan Kant

Meet the guest

As a math and computer science teacher at Newton North High School, Newton, MA, Kanchan has been sharing her love for math with her students for the past four years. Kanchan is instrumental in setting the culture and ethos of the mathematics department at her school in her role as the Assistant Department Head. Kanchan also leads the Math Department Grading Team and has been instrumental in making grading policies which are more equitable and bias resistant. In her new role as a Transformative Leaders of Massachusetts Fellow in collaboration with Springpoint and Barr Foundation, Kanchan looks forward to making equity and joy of learning the foundation of many more classrooms.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Reveal Math

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Families and caregivers, welcome to Amplify Desmos Math California
6–12!

Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

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Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

  • Coming soon!
  • Coming soon!

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
  • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

Unit 6

  • Sub-Unit 1 – Drawing Perpendicular Bisectors
  • Sub-Unit 2 – Determining Coordinates After a Rotation
  • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

Unit 7

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Access Amplify Desmos Math California at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math California? Visit our Help Library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Connecticut K-5 ELA: Explore Amplify CKLA (English) and Caminos (Spanish)

Thank you for visiting Amplify’s Core Knowledge Language Arts (CKLA) and Caminos website designed exclusively for you. We are very excited for you to further explore Amplify CKLA and Amplify Caminos and discover more about our proven, phonics-based literacy programs in English and Spanish.  Begin your journey with the Introduction below and explore Amplify CKLA and Caminos.

Introduction

We are excited for you to see how Amplify CKLA and Amplify Caminos provide parallel, high-quality resources in both English and Spanish for all students and multilingual learners across NYC! Both programs are flexible, offering stand-alone foundational skills instruction as well as comprehensive core English Language Arts.

Amplify CKLA Skills and Caminos Lectoescritura are entirely built on the latest reading science and provide comprehensive instruction in all foundational reading skills. These programs feature:

  • Phonological awareness, phonics, and word recognition
  • Strong, systematic sound-first instruction to support students in learning to decode
  • Language skills, including conventions, spelling, and grammar
  • Reading comprehension
  • Writing instruction

CKLA and Caminos for grades K–2 provides a two-strand approach – the first strand is the Foundational Skills Strand (as described above) and the second is the Knowledge Strand, in which students build rich background knowledge through multidisciplinary Read-Alouds in both English and Spanish. Additionally, in Grades 3-5, CKLA and Caminos take an Integrated Approach, meaning everything is focused on rich worldly context. 

We highly encourage you to check out the Grades K-2 Knowledge Strand section of the website and the 3-5 Integrated Approach section to explore these components further, gain access to the engaging, worldly, and diverse texts students and teachers are using in their classrooms daily, and discover so much more!

Access the program

Every day in the CKLA/Caminos classroom, students will practice their existing reading skills while stretching themselves toward new goals. In K–2, each day includes dedicated skills time to help you give students a solid foundation. In the upper grades, skills instruction becomes integrated with Knowledge lessons, and students engage with increasingly complex content-rich texts and writing activities.

All instruction starts with phonological awareness, which research has shown to benefit the greatest number of students.

Students begin by learning to recognize sounds, as well as to articulate them.

All instruction starts with phonological awareness, which research has shown to benefit the greatest number of students. Students begin by learning to recognize sounds, as well as to articulate them.

Once students can recognize sounds, they learn to form the corresponding letter codes. CKLA starts by teaching the sound-spellings that appear most frequently in English, which lets your students read and write as many words as possible, as soon as possible.

The lessons continue to challenge students as they progress, introducing complications like multisyllabic words, “tricky words,” and homophones. In each case, students encounter complications as they become ready for them.

While students are learning how to read, Knowledge Domains give them authentic and engaging reasons to read. Students will use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups. With these domains, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Each CKLA/Caminos Knowledge Domain gives students a base of vocabulary and concepts, building on what they’ve learned in previous domains. This helps students make connections within and across grades, building a base of background knowledge that will help them navigate new and more complex texts.

Students learn to listen and understand before they learn to read. By delivering knowledge through classroom Read-Alouds, we teach students the key comprehension skills they’ll use throughout their reading lives.

We emphasize interactions with students, challenging them and encouraging them to think about the material rather than simply receive it. Each lesson includes many options for formative assessment and immediate adjustment to your class’s needs.

End-of-domain digital assessments for Knowledge Domains are fully voice acted, ensuring that each student’s comprehension skills are being authentically tested. This not only helps build student test-taking confidence, but also gives you a more accurate picture of your class.

Step 1: Watch this video walkthrough of the CKLA/Caminos Teacher Resource Site.

Step 2: Explore the Teacher Resource Site.

  • Click the CKLA/Caminos Teacher Resource button below.
  • Select Log in with Amplify.
  • Enter your teacher usernamet.nyc-ckla-caminosK2@tryamplify.net
  • Enter your password: AmplifyNumber1
  • Toggle to access either English and Spanish

Step 3: Watch this video walkthrough of the CKLA/Caminos Student Hub.

Step 4: Explore the CKLA/Caminos Student Hub for Grades K-2.

  • Click the CKLA/Caminos Student Hub button below.
  • Select Log in with Amplify.
  • Enter your student usernames.nyc-ckla-caminosK2@tryamplify.net
  • Enter your password: AmplifyNumber1
  • Select a grade level.

By grades 3–5, students have mastered the basics of decoding and are hungry to use what they’ve learned to reach out to the world. Although Read-Alouds remain an important part of lessons, students are also encouraged to practice independent reading starting in grade 3—striking a balance between strong teacher support and developing their autonomy and confidence as readers.

As students progress from K–2, writing activities start to emphasize analysis, creativity, and independent thinking about the material students are learning.

Each of the levels in grades 3–5 contains a Core Quest. In these special
units, all the normal rules of the classroom change, and students engage
with language in surprising new ways. Here in this grade 5 example, they
learn to love the dense Shakespearian language of A Midsummer Night’s
Dream through imagery, close reading, and performance.

Step 1: Watch this video walkthrough of the CKLA/Caminos Teacher Resource Site.

Step 2: Explore the CKLA/Caminos Teacher Resource Site for Grades 3-5.

  • Click the CKLA/Caminos Teacher Resource button below.
  • Select Log in with Amplify.
  • Enter your teacher usernamet.nyc-ckla-caminos35@tryamplify.net
  • Enter your password: AmplifyNumber1
  • Toggle to access either English and Spanish

Step 3: Watch this video walkthrough of the CKLA/Caminos Student Hub.

Step 4: Explore the CKLA/Caminos Student Hub for Grades 3-5.

  • Click the CKLA/Caminos Student Hub button below.
  • Select Log in with Amplify.
  • Enter your student usernames.nyc-ckla-caminos35@tryamplify.net
  • Enter your password: AmplifyNumber1
  • Select a grade level.

Key program features

The student body of our country has been changing, and it’s changing fast. Over 10% K-12 students are english language learners who speak other languages. This skews heavily to primary grades with 15-16% in grades K-3.  In 2021-2022, New York City Public Schools enrolled over 147,000 English language learners across K-12 or about 14% of students.  Over 52% of those students are in elementary schools across the district with 23% in grades K-3. 

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both. 

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Amplify Caminos al Conocimiento Esencial, a Spanish language arts program for Grades K–5 that will inspire and engage your students to become confident readers, writers, and thinkers.

It is designed to support any biliteracy model, including English as a Second Language (ESL), transitional bilingual programs, dual language strands, and Spanish immersion programs.

When used in tandem with Amplify CKLA, Amplify Caminos provides an one-to-one English and Spanish solution.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading Toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen.

Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature engaging plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves.

Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive read-alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

From the printed page to the screen, we bring foundational skills and knowledge of the world to your young learners, and make the transition from classroom to home learning seamless.

Download the Amplify CKLA Components Guide to see components by grade.

Additional materials to support your review

Desmos Math 6–A1 correlations with Carnegie Math Texas

To view this protected page, enter the password below:



What is Amplify CKLA?

Amplify CKLA is a core ELA program for grades TK–5 that delivers:

  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
  • Authentic Spanish language arts instruction with Amplify Caminos.
A visual diagram shows strands for language comprehension and word recognition skills intertwining, with related educational materials pictured alongside each set of skills.

How does Amplify CKLA work?

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What makes Amplify CKLA different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Explicit systematic skills instruction

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature interesting plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Coherent knowledge instruction

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.
Illustration montage featuring scenes of learning: a cartoon character with books, two people shoveling snow under the stars, and an astronaut on a lunar landscape, with educational interfaces.

Embedded differentiation for all learners

Amplify CKLA provides built-in differentiation strategies in every lesson for all students, including supports for English learners and Standard English learners.

  • Access supports for ELs: Integrated ELD supports in each lesson segment
    for English learners and Standard English learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners: Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELs.
  • 30 minutes of Additional Support in every Skills lesson: In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

Designated ELD

Amplify CKLA’s designated English Language Development (ELD) component—Language Studio— helps English learners preview and revisit key content within core instruction, building a foundation of academic vocabulary and background knowledge. Core instruction lessons include point-of-use supports for English learners and Support and Challenge strategies for all learners.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled

Built on the California ELA/ELD Framework, our carefully developed program follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for English learners. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your English learners.

Language Studio supports teachers and English learners through the following:

  • 30 minutes of instruction with lesson segments are carefully designed around Content Knowledge, Meaning Making, Language Development, Effective Expression, and Foundational Skills.
  • Every Language Studio lesson accompanies a core lesson, helping English learners deepen domain and academic vocabulary that will help them access core content.
  • Culminating tasks support core projects and target the same skills as primary instruction.

Ready-to-go slides and all-in-one platform

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction: Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities: Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center: You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work: The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

How does Amplify CKLA integrate with the other parts of the literacy system?

Amplify CKLA + mCLASS® with DIBELS® 8th Edition

Amplify CKLA integrates with your mCLASS assessment through the CKLA Connect feature, which matches your students with targeted CKLA lessons based on their mCLASS assessment data. In other words, it aligns your assessments more closely with your core curriculum while recommending effective differentiated instruction.

A digital dashboard shows lesson summaries for CKLA Connect and a group of two students focusing on letter sound knowledge and related activities.

Amplify CKLA + Amplify Reading

Amplify Reading is the student-driven skill practice program within CKLA, providing differentiated, digital instruction in both foundational skills and comprehension strategies. Because Amplify Reading is built on the same approach to reading as CKLA, students are able to extend their learning from the core program further, at their own pace.

Amplify CKLA and Amplify Reading reinforce each other through:

  • An aligned scope and sequence and instructional approach: In both probrams, students get instruction and practice in phonological awareness and phonics, with the most common, least ambiguous spellings first.
  • Consistent vocabulary words: Many Amplify CKLA words are taught and practiced in Amplify Reading vocabulary games.
  • Complementary texts: Fiction and nonfiction books within Amplify Reading reinforce Amplify CKLA knowledge domains.
  • Seamless integrations between platforms: Students can easily access Amplify Reading directly from the Amplify CKLA Student Hub.
Screenshot of the CKLA Hub interface showing options for Theater, Sounds, Library, and Activities, with a note indicating access to Amplify Reading.

Navigating the program

Digital navigation walkthrough

Physical materials walkthrough

Sample materials

Demo access

A laptop screen displays the Amplify login page with options to log in using Google, Clever, Amplify, QR code, or District SSO.

Follow the instructions below to access your demo account.

  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.westadackla@demo.tryamplify.net
  • To explore as a student, enter this username: s1.westadackla@demo.tryamplify.net
  • Enter the password: Amplify1-westadackla
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Note: Your demo account access expires on January 19, 2023.

Check out these additional resources

Amplify CKLA review resources:

Grade K

Topic Opener Numbers 0 to 5

Topic Opener Numbers 0 to 5Connecting Cubes

Topic 1: Numbers 0 to 5

Lesson 1-2 Recognize 1, 2, and 3 in Different ArrangementsSkye’s Style
Lesson 1-5 Recognize 4 and 5 in Different ArrangementsMatching Groups
Designing Shoes with Skye
3-ACT MATH: Set the TableInvestigate: Cafeteria Math

Topic 3: Numbers 6 to 10

Lesson 3-2: Read, Make, and Write 6 and 7Moving and Grooving
Lesson 3-4: Read, Make, and Write 8 and 9Moving and Grooving
Lesson 3-6: Read, Make, and Write 10Moving and Grooving
Lesson 3-7: Count Numbers to 10Fingers as Math Tools

Topic 4: Compare Numbers 0 to 10

Lesson 4-1: Compare Groups to 10 by MatchingMore, Fewer, or the Same
Forest Friends
Lesson 4-2: Compare Numbers Using Numerals to 10Fingers and Counters
Lesson 4-3: Compare Groups to 10 by CountingComparing Words

Topic 6: Understand Addition

Interactive Math StoryInvestigate: Casey’s Town
Lesson 6-1: Explore AdditionHow Many Objects in Pictures?
The Bus Depot
Lesson 6-2: Represent Addition as Adding ToHow Will You Count?
Lesson 6-3: Represent Addition as Putting TogetherHow Many Objects?
Lesson 6-4: Represent and Explain Addition with EquationsWhat Does It Mean to Add?

Topic 7: Understand Subtraction

Lesson 7-1: Explore SubtractionWhat Does It Mean to Subtract?
The Bus Depot

Topic 8: More Addition and Subtraction

Lesson 8-5: Decompose 6 and 7 to Solve ProblemsHarry Explores the Ocean
Lesson 8-6: Decompose 8 and 9 to Solve ProblemsHarry Explores the Ocean
Lesson 8-8: Decompose 10 to Solve ProblemsHarry Explores the Ocean

Topic 12: Identify and Describe Shapes

Lesson 12-2: Circles and TrianglesWhat’s That Shape Called?
Lesson 12-3: Squares and Other RectanglesAnother Shape

Topic 13: Analyze, Compare, and Create Shapes

Lesson 13-1: Analyze and Compare Two-Dimensional (2-D) ShapesAnother Shape
So Much Sorting

Grade 1

Topic 1: Understand Addition and Subtraction

Lesson 1-4: Take FromPacking for a Picnic
What’s the Difference?
Lesson 1-7: Change UnknownReplanting Huli
Lesson 1-8: Practice Adding and SubtractingLeaping Lily Pads!

Topic 2: Fluently Add and Subtract Within 10

enVision STEM ProjectA Community Working Together
Topic 2 Interactive Math StoryInvestigate: Let’s Grow!
Lesson 2-8: Solve Word Problems with Facts to 10Tutu’s Garden in Maui
The Kalo Plants
Helping Others

Topic 3: Addition Facts to 20: Use Strategies

Lesson 3-5: Make 10 to AddMaking 10
Lesson 3-6: Continue to Make 10 to AddKitten Coaster

Topic 6: Represent and Interpret Data

Lesson 6-1: Organize Data into Three CategoriesShapes Ying Saw

Topic 7: Extend the Counting Sequence

Lesson 7-1: Count by 10s to 120Meeting Yara
Grade 1 Lesson 7-5: Count on an Open Number LineTime to Line Up!
Grade 1 Lesson 7-5: Count on an Open Number LineWhat’s That Number?

Topic 8: Understand Place value

Lesson 8-1: Make Numbers 11 to 19Same Number, Different Ways
Lesson 8-2: Numbers Made with TensInvestigate: Game Points
It’s a Match

Topic 9: Compare Two-Digit Numbers

Lesson 9-3: Compare NumbersInvestigate: Where Am I?
Grade 1 Lesson 9-5: Compare Numbers on a Number LineGreater Than, Less Than, or Equal to
Grade 1 Lesson 9-5: Compare Numbers on a Number LineIn Full Bloom

Topic 10: Use Models and Strategies to Add Tens and Ones

Lesson 10-1: Add Tens Using ModelsHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Topic 11: Use Models and Strategies to Subtract Tens

Lesson 11-1: Subtract Tens Using ModelsBoris’s Thimbles
Lesson 11-2: Subtract Tens Using a Hundred ChartHow Many Tens?

Topic 14: Reason with Shapes and Their Attributes

Lesson 14-1: Use Attributes to Define Two-Dimensional (2-D) ShapesShapes Ying Saw

Grade 2

Topic 1: Fluently Add and Subtract Within 20

Lesson 1-1: Addition Fact StrategiesExploring Within 10
Lesson 1-3: Make a 10 to AddWays to Make 10

Topic 8: Work with Time and Money

Lesson 8-1: Solve Problems with CoinsInvestigate: Activities at the Block Party
Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 8-2: Continue to Solve Problems with CoinsHow Much Money?
Discovering Coins (Part 2)
Lesson 8-5: Problem Solving: ReasoningThe Toy Stand
The Craft Stand at the Block Party

Topic 12: Measuring Length

Lesson 12-8: Compare LengthsLengths of Jungle Animals

Topic 15: Graphs and Data

Lesson 15-1: Line PlotsMessy Measurements
Lesson 15-2: More Line PlotsBracelets and Wristbands
Lesson 15-3: Bar GraphsAwesome Aquariums

Grade 3

Topic 1: Understand Multiplication and Division of Whole Numbers

Lesson 1-1: Relate Multiplication and AdditionEqual Groups
Lesson 1-3: Arrays and PropertiesArrays of Flavor

Topic 4: Use Multiplication to Divide: Division Facts

Lesson 4-1: Relate Multiplication and DivisionIt’s Chili in Here
Relating Quotients to Familiar Products
Lesson 4-8: Solve Multiplication and Division EquationsDivision and Multiplication Equations

Topic 6: Connect Area to Multiplication and Addition

Lesson 6-1: Cover RegionsInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 6-2: Area: Nonstandard UnitsTiling Figures
Lesson 6-3: Area: Standard UnitsArea Hunt
Lesson 6-4: Area of Squares and RectanglesRectangles and Arrays

Topic 7: Represent and Interpret Data

Lesson 7-3: Make Bar GraphsPuppy Pile
2, 5, or 10?

Topic 8: Use Strategies and Properties to Add and Subtract

Topic 8 VocabularyInvestigate: Create a Photo Gallery
Lesson 8-2: Algebra: Addition PatternsPanda Patterns
Lesson 8-3: Mental Math: AdditionHow Would You Solve It?

Topic 9: Fluently Add and Subtract within 1,000

Lesson 9-1: Use Partial Sums to AddAdding Your Way
What is an Algorithm?
Lesson 9-2: Use Regrouping to AddUsing Fewer Digits
Lesson 9-3: Add 3 or More NumbersDetermining Sums of 2 or More Addends
Lesson 9-6: Use Strategies to Add and SubtractAdding Strategically

Grade 4

Topic 7: Factors and Multiples

3-ACT MATH: Can-Do AttitudeHamster Homes
Lesson 7-2: FactorsFactor or Multiple?
Lesson 7-4: Prime and Composite NumbersA Number Game
Lesson 7-5: MultiplesFactor or Multiple?
How Does It Grow?

Topic 8: Extend Understanding of Fraction Equivalence and Ordering

Lesson 8-2: Equivalent Fractions: Number LinesInvestigate: Building Your Own Number Line
All Kinds of Fractions
Lesson 8-5: Use Benchmarks to Compare FractionsFraction Strips
Lesson 8-5: Use Benchmarks to Compare FractionsChop It

Topic 9: Understand Addition and Subtraction of Fractions

Lesson 9-1: Model Addition of FractionsPizza Problems
Lesson 9-4: Model Subtraction of FractionsPizza Problems
Lesson 9-2: Decompose FractionsMath Pizzeria

Topic 10: Extend Multiplication Concepts to Fractions

Lesson 10-1: Fractions as Multiples of Unit FractionsEqual Groups of Fractions

Topic 12: Understand and Compare Decimals

Topic 12 Review What You KnowInvestigate: Different Units
Lesson 12-1: Fractions and DecimalsA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-2: Fractions and Decimals on the Number LineAre They Equivalent?
What’s the Order?
Lesson 12-3: Compare DecimalsHow Can You Compare?
Robot Factory

Grade 5

Topic 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 3-5: Multiply 3-Digit by 2-Digit NumbersPartial Products Everywhere
Lesson 3-7: Practice Multiplying Multi-Digit NumbersHow Do They Compare?

Topic 5: Use Models and Strategies to Divide Whole Numbers

Lesson 5-4: Use Partial Quotients to DivideEmptying the Water Tank

Topic 8: Apply Understanding of Multiplication to Multiply Fractions

Lesson 8-3: Multiply Fractions and Whole NumbersMaking Food
Lesson 8-4: Use Models to Multiply Two FractionsInvestigate: Folding Paper
Parts of Parts
One Part of One Part
Lesson 8-5: Multiply Two FractionsMaking Food
Messy Multiplication
Lesson 8-6: Area of a RectangleInstalling Turf
Rows and Columns
Lesson 8-7: Multiply Mixed NumbersApplying Fraction Multiplication
Messy Multiplication
Lesson 8-8: Multiplication as ScalingChores at Animal Haven
The Re-size-inator

Topic 9: Apply Understanding of Division to Divide Fractions

Topic 11: Understand Volume Concepts

Lesson 11-1: Model VolumeWhich is Largest
3-ACT Math: Fill ‘er UpPacking the Barge
Lesson 11-3: Combine Volumes of PrismsPutting It Together
Figures Made of Prisms

Algebra 1

No lessons focused on only shape patterns.

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Solving Strategies
Lesson 1-3: Solving Linear Equations With a Variable on Both SidesSame Position
Lesson 1-4: Literal Equations & FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Equations

Lesson 2-3: Standard FormShelley the Snail
Five Representations

Topic 3: Linear Functions

Lesson 3-4: Arithmetic SequenceMore Visual Patterns
Sequence Carnival
Lesson 3-5: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 3-6: Analyzing Lines of FitResidual Fruit
Penguin Populations
Behind the Headlines
City Data

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Linear Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise Defined FunctionsCraft-a-Graph
Pumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-3: Exponential FunctionsCarlos’s Fish
Lesson 6-5: Geometric SequencesRevisiting Visual Patterns, Part 1
Sequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8-3: Quadratic Functions in Standard FormPlenty of Parabolas
Two for One
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets
Robot Launch
Lesson 8-5: Linear, Exponential and Quadratic ModelsSorting Relationships

Topic 9: Solving Quadratic Equations

Lesson 9-1: Solving Quadratics Using Graphs and TablesStomp Rockets
Lesson 9-2: Solving Quadratic Equations by FactoringParabola Zapper
Shooting Stars
Lesson 9-4: Completing the SquareSquare Tactic
Lesson 9-5: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root Function ( & average rate of change)Plane, Train, and Automobile
Lesson 10-3: Analyzing Functions Graphically (Abs, Quad, Sq.Root, Exp, Cubic)Craft-a-Graph
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Amplify and SFUSD Partnership

We recognize and respect the unique differences of each of our partnering districts—and that includes San Francisco USD.

Out of the box, Amplify Caminos offers districts a rich, comprehensive, research-based SELA experience. That said, no two districts are exactly alike. To that end, we are committed to working with San Francisco USD to ensure that Amplify Caminos addresses the needs of your community. This includes providing implementation guidance and support, as well as collaborating with your staff to determine which domains need to be modified or exchanged.

What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.



Watch the video below to learn more about Amplify Caminos for Grades K–2.



Watch the video below to learn more about Amplify Caminos for Grades 3–5.

How does Amplify Caminos work?

Amplify Caminos is built on the science of how kids learn to read—in Spanish.

Amplify Caminos is all about helping you teach students how to read, all while giving them authentic and engaging reasons to read. That’s why Amplify Caminos develops foundational skills and builds knowledge in tandem.

  • Knowledge: Through complex and authentic Spanish read-alouds with an emphasis on classroom interactivity, oral comprehension, and contextual vocabulary, students start to build their awareness of the world around them—and the way the reading skills they’re building give them access to it.
  • Skills: Starting with the sounds at the core of the Spanish
    language, students practice their phonemic awareness, handwriting skills, vocabulary, spelling, and grammar. Through daily practice, students become aware of the connection between reading and writing, building confidence as they go.
Illustration depicting the flow of genetic information, represented by ribbons transitioning from dna to rna, connected to various educational images and diagrams.

Respecting the development differences between grade ranges, Amplify Caminos teaches foundational skills and background knowledge as two distinct strands in grades K–2, and combines them into one integrated strand in grades 3–5.

Grades K–2:
Every day, students in grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds robust background knowledge to access complex text in the Amplify Caminos Conocimiento strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5:
In grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What do Amplify Caminos students explore?

Amplify Caminos builds students’ knowledge about the world.

In addition to teaching all students to crack the written code (which is vital for equity), the Amplify Caminos program helps students see the strengths and experiences we all share while celebrating their own unique identities and experiences.

This is accomplished through the exploration of topics and text that feature people who resemble students and familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.
 

Engaging domains

Amplify Caminos builds knowledge coherently across subjects and grades.

Throughout the program, students use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups.

Carefully selected to build from year-to-year, our grade-appropriate topics help students make and deepen connections while also reading, writing, and thinking creatively and for themselves.

Curriculum flowchart for Kindergarten to Grade 5, showing subject progression in language, science, and social studies, with highlighted and connected units.

New Knowledge Research Units for Grades K–5

Our brand-new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: El arte y el mundo que nos rodea
  • Grade 1: Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: ¡A volar! La era de la aviación
  • Grade 3: Jazz y más
  • Grade 4: Energía: pasado, presente y futuro
  • Grade 5: Más allá de Juneteenth: de 1865 al presente

Units will be made available in English and Spanish, and will include the following components:

Why we added this unit:
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. El arte y el mundo que nos rodea honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the world around them.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Caminos domains: GranjasPlantas, and Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, even as they have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Georgia O’Keeffe por Erica Salcedo
  • Yayoi Kusama: De aquí al infinito por Sarah Suzuki
  • Tejedora del arcoíris por Linda Elovitz Marshall
  • Las tijeras de Matisse por Jeanette Winter
  • El museo por Susan Verde
  • Quizás algo hermoso: Cómo el arte transformó un barrio por F. Isabel Campoy

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in the previous grade.

  • Rimas y fábulas infantiles (Kindergarten)
  • Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Cuentos de aventuras: relatos desde los confines de la Tierra. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name Is Gabito/Me llamo Gabito por Monica Brown
  • Galápagos Girl/Galapagueña por Marsha Diane Arnold
  • My Name Is Gabriela/Me llamo Gabriela por Monica Brown
  • El viaje de Kalak por María Quintana Silva y Marie-Noëlle Hébert
  • Señorita Mariposa por Ben Gundersheimer
  • Sharuko, el arqueólogo peruano/Peruvian Archaeologist Julio C. Tello por Monica Brown
  • Abuelita fue al mercado por Stella Blackstone

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aida de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered earlier in the year.

  • La civilización griega antigua (Grade 2)
  • Mitos griegos (Grade 2)
  • La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in ¡A volar! La era de la aviación. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡A volar! Todo sobre aviones por Jennifer Prior
  • Amelia sabe volar por Mara dal Corso
  • Héroes de la aviación que cambiaron el mundo por Dan Green
  • El niño que alcanzó las estrellas por José M. Hernández
  • La niña que aprendió a volar por Sylvia Acevedo
  • Buenas Noches Capitán Mamá por Graciela Tiscareño-Sato

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

How this unit builds knowledge:
Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡Esquivel! Un artista del sonido de la era espacial por Susan Wood
  • Ray Charles por Sharon Bell Mathis
  • Tito Puente, el Rey del Mambo por Monica Brown
  • Me llamo Celia, la vida de Celia Cruz por Monica Brown
  • ¡Azúcar! por Ivar Da Coll

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades as well as earlier in the year.

  • Plantas (Grade K)
  • La historia de la Tierra (Grade 1)
  • ¡Eureka! Estudiante inventor (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energía: pasado, presente y futuro. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • La historia de los combustibles fósiles por William B. Rice
  • El niño que domó el viento por William Kamkwamba y Bryan Mealer

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades.

  • Los nativos americanos (Grade K)
  • Una nueva nación: la independencia de los Estados Unidos (Grade 1)
  • La Guerra Civil de los Estaods Unidos (Grade 2)
  • La inmigración (Grade 2)
  • Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Más allá de Juneteenth: de 1865 al presente
. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Martí’s Song for Freedom/Martí y sus versos por la libertad escrito por Emma Otheguy
  • ¡Celebremos Juneteenth! escrito por Carole Boston Weatherford
  • Side by Side/Lado a Lado: The Story of Dolores Huerta and Cesar Chavez/La Historia de Dolores Huerta y César Chávez escrito por Monica Brown
  • Canto de alabanza para el día: Poema para la ceremonia inaugural del mandato de Barack Obama escrito por Elizabeth Alexander, traducido por Rodrigo Rojas

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Diverse texts

Amplify Caminos puts a variety of texts in the hands of students every day.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors. In addition to featuring a diverse range of authors and topics, our texts represent individuals and characters with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.

Amplify Caminos texts include:

  • Authentic literature: Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.
  • Decodable Student Readers: Amplify Caminos is built on the conviction that equitable instruction is vital to an effective program. Decodable Student Readers at grades K–2 are newly re-designed to celebrate students’ diverse experiences and feature individuals with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.
  • ReadWorks® texts: Amplify and ReadWorks have partnered to deliver high-quality texts curated to support the Amplify Caminos Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.
Three book covers displaying children's books in spanish, each featuring colorful and stylized illustrations related to cultural stories.

Amplify Caminos Trade Book Collection Guide

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.

Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Three connected orange blocks labeled

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

A collage of illustrated book covers, including themes of Don Quixote, space exploration, and anthropomorphic animals in various scenarios, all enriched with Spanish language elements.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Systematic and cohesive writing instruction

Writing instruction in Amplify Caminos builds systematically and cohesively within and across grades.

In Grades K-2, writing mechanics—including handwriting and spelling—are taught in the Amplify Caminos Lectoescritura strand. Starting in Grade 1, instruction includes four steps in the writing process: planning, drafting, editing, and publishing and features lessons that have modeling, collaboration, and sharing. As students gain skills and confidence, they are able to take on more of these steps independently. Students learn to use planning techniques, including brainstorming and graphic organizers.

Beginning in Grade 4, the Amplify Caminos writing process expands to also include sharing and evaluating. In Grades 4 and 5, the writing process is no longer conceptualized as a series of scaffolded, linear steps (an important change from the Grade 3 writing process). Rather, students move between components of the writing process in a flexible manner, similar to the process mature and experienced writers follow naturally.

young male students writing with a pencil

Amplify Caminos’ writing instruction provides a clear progression through the text types in each grade.

Because Amplify Caminos has two strands of lessons in Grades K-2, Lectoescritura and Conocimiento, students are exposed to both narrative and informational texts throughout the year. In Grades 3-5, the integrated units feature study in literary, informational, or a mix of both types of texts, depending on the content of the unit.

  • Grades K–2 introduce and establish the key elements of each text type, allowing students to gain comfort and confidence writing narratives, opinions, and informative texts. This enables students to practice thinking about content in different ways, offering more depth and breadth to their understanding of core content and of the writing text types.
  • By Grade 3, students will have gained significant practice in narrative, opinion/argumentative, and informational/explanatory forms of writing and will continue to apply those skills through Grade 5.

How does Amplify Caminos integrate with the other parts of the literacy system?

Amplify Caminos + mCLASS® Lectura

Achieve complete parity between English and Spanish assessments with mCLASS Lectura for K–6. mCLASS Lectura allows teachers to connect with their Spanish-speaking students face-to-face, one-on-one, and in the language most comfortable to them. The result? Valid and reliable student data reports
available in both English and Spanish, enabling teachers to pinpoint where their Spanish-speaking or emergent bilingual students really are in their skill development and what instruction to prioritize.

Reading assessment validated for benchmark, progress monitoring, and dyslexia screening

Amplify Caminos + Amplify Reading

Amplify Reading is an engaging, adaptive digital program that extends the learning in Amplify Caminos. Amplify Reading offers support to a large sub-group of English learners (ELs) through Spanish voice-over. Spanish voiceover instructions are available in vocabulary and sentence-level comprehension games so ELs can build their vocabulary, language, and critical comprehension skills before moving into analyzing complex texts

Spanish Support

Demo access and sample materials

Ready to explore on your own? First, watch the videos below to learn about the program’s components and how to navigate the digital platform.

Physical materials walkthrough video



Digital navigation video

Demo access

Next, follow the instructions below to access your demo account.

Laptop screen displaying a login page for
  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.sfusdreviewer@demo.tryamplify.net
  • To explore as a student, enter this username: s1.sfusdreviewer@demo.tryamplify.net
  • Enter the password: Amplify1-sfusdreviewer
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Sample materials

Finally, click on the grade levels below to explore your requested sample units.

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.
Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

Additional resources

Amplify’s universal and dyslexia screening in one too

Measure what matters 

Table listing literacy skills assessed in the "screening area" and "mclass assessments," with check marks indicating coverage of specific skills like phonological awareness and reading fluency.

mCLASS® with DIBELS 8th Edition® provides a formative assessment solution that supports the identification of students at risk for reading difficulties, including difficulty related to dyslexia. DIBELS 8th Edition was developed by the University of Oregon with the primary focus of ensuring that the measures are able to meet state-level dyslexia screening requirements.

How mCLASS identifies students at risk of dyslexia

When screening for risk, nothing can replace the power of listening to a child read—listening to their strengths as a reader AND their struggles.

With mCLASS, teachers administer predictive one-minute assessment measures that involve listening to students interact with sounds, letters, words, and text while screening for reading difficulties.

Table showing academic performance metrics for grade 1 students at the beginning of the year, highlighted row for student jon bell with various scores.

Identifying at-risk students: What comes next?

Research and statistics about dyslexia in early literacy

90 percent of students who struggle in third grade will continue to struggle at the end of elementary school if they do not receive the intervention.

74 percent of students who are poor readers in third grade will be poor readers in ninth grade, and, in general, have a higher risk of academic failure and school dropout.

According to a 2015 National Assessment of Educational Progress study, only 35 percent of fourth-grade students were proficient in reading. Most of these children will spend the rest of their time in school trying to catch up

mClass solutions

mCLASS Instruction provides teachers with a single view of the personalized, blended instruction (teacher-led and online) that is available to support individual student or small-group needs in skill areas directly assessed in the mCLASS assessment.

Employ teacher-led instruction for whole classes, small-groups, and individual students, including activities created by Susan Hall, author of I’ve DIBEL’d, Now What, are provided for skill practice.

Additional instructional resources for comprehension include grade-level passages that provide more practice.

Get online student instruction and practice with Amplify Reading, which places students in a personalized instruction path based on mCLASS assessment data and adapts based on progress in the curriculum. Students engage with skills-based games as well as an eReader.

Receive rigorous, teacher-led intervention with mCLASS Intervention to address students most in need of support.

Teachers can download a letter with student assessment results to send home to parents and guardians, or use as a basis for discussion at conferences. Home Connect letters describe how the measures relate to skills development. Progress bars indicate the student’s performance on each measure.

Home Connect extends reporting to parents and guardians in a way that is easily understood and provides suggestions for positive action.

Dylexia Resources and Materials

Resources

Dyslexia toolkit

Cover of a "dyslexia toolkit" brochure with images of children engaged in various classroom activities including reading, writing, and working in groups, and a teacher leading a class.

View now

Dyslexia Screening and Dibels 8th edition

View now

Connecting the science of reading to assessment

Recorded on: Tuesday, February 4, 2020 at 2–3 p.m. ET

What exactly does the science of reading say about early literacy assessment? Hear from an expert on how to align assessment to the science of reading.

Register and watch now on demand

Science of Reading toolkit

Illustration of a person holding a book with colorful ribbons flowing out, symbolizing streams of knowledge, alongside text about using science reading insights.

View toolkit

Request a demo

mCLASS with Amplify Reading offers Amplify Reading’s engaging and adaptive instructional layer alongside mCLASS’s best-in-class literacy assessment. Simply complete the form to request a demo, and an Amplify sales representative will be in touch.

What’s included in our grades K–2 language arts curriculum

Amplify Core Knowledge Language Arts® (CKLA) is a comprehensive early literacy curriculum, grounded in the Science of Reading. The K–2 curriculum sequences deep content knowledge-building with research-based foundational skills. With Amplify CKLA, you’ll have the instruction and guidance of proven, evidence-based practices to help all of your students become strong readers, writers, and thinkers.

Choose Level

Year at a glance

The Amplify CKLA curriculum is modeled after proven research in early literacy that supports a two-strand approach to literacy instruction in the early years. With this approach, students in Grades K–2 complete one full lesson per day that builds foundational reading skills in the Skills Strand, as well as one full lesson that builds background knowledge in the Knowledge Strand. The deep content knowledge is sequenced together with research-based foundational skills in Grades K–2 so that students develop the early literacy skills necessary to help them become confident readers, as well as build the context to understand what they’re reading. 

In Grades 3–5, lessons combine skills and knowledge with increasingly complex texts, close reading, and a greater emphasis on writing. Students start to use their skills to go on their own independent reading adventures, further opening up their worlds.

Units & domains at a glance

The number of days to complete each Skills Unit and Knowledge Domain varies based on instructional purpose.

Nursery Rhymes and Fables

Well-known fables introduce students to new vocabulary, build phonological awareness, and prompt discussion of character, virtues, and behavior.

Number of Lessons: 12

The Five Senses

Students explore how they learn about the world using their five senses: sight, hearing, smell, taste, and touch.

Number of Lessons: 8

Stories

Students develop an awareness of language and recurring themes in children’s literature, including classic stories, trickster tales, and fiction from other cultures.

Number of Lessons: 10

Plants

Read-aloud texts introduce students to basic knowledge of ecology, parts of plants, how plants grow, and the interdependence of all living things.

Number of Lessons: 11

Farms

Students identify several farm animals and crops and contrast how plants make their food with how animals get their food.

Number of Lessons9

Native Americans

Students explore cultures of three Native American groups, as well as how conditions in different geographical regions influence their ways of life.

Number of Lessons: 8

Kings and Queens

Students listen to read-aloud texts, both fiction and nonfiction, about kings, queens, and royal families, which build students’ understanding of royal customs.

Number of Lessons: 8

Seasons and Weather

This is an introduction to weather and the seasons, where students learn that regions of Earth experience different characteristic weather patterns throughout the year.

Number of Lessons: 8

Columbus and the Pilgrims

A look at the first contact between Europe and the Americas and some of its results.

Number of Lessons: 9

Colonial Towns and Townspeople

Students are introduced to the early history of the United States as they explore what life was like for people in colonial times.

Number of Lessons: 10

Taking Care of the Earth

Students are introduced to the importance of environmental awareness and conservation as they become familiar with the earth’s natural resources.

Number of Lessons: 10

Presidents and American Symbols

Students learn about the legacies of five famous presidents, several national symbols, the branches of government, the role of the president, and elections.

Number of Lessons: 9

Students build phonological awareness through environmental noises, words within sentences, and sounds within words. They learn basic strokes used to form letters.

Students learn how to blend syllables together to form multisyllabic words. They orally produce two- and three-sound words by blending sounds.

Students learn eight new sounds and practice blending them into words. They learn how to write letters that represent the new sounds.

With oral language games, chaining exercises, and shared reading, students practice blending eight new sounds into words and writing the sound-letter correspondences.

Eight new sounds are introduced, including a spelling alternative for /k/. Students continue to practice previously learned sound-letter correspondences.

Students are introduced to consonant clusters, letter names, and rhyming words. Students begin to read text independently using decodable Student Readers.

Students learn about various digraphs. Students practice blending and segmenting the sounds through phonemic awareness and phonics activities, chaining exercises, and reading.

This unit introduces students to double-letter spellings for consonant sounds, as well as seven new high-frequency Tricky Words.

Students practice writing uppercase letters and learn 17 new Tricky Words. Students answer comprehension questions about stories in the Student Reader.

Students learn the basic code spelling for the five long vowel sounds. Students are administered a cumulative end-of-year assessment.

Fables and Stories

Students are introduced to fables and stories, increase vocabulary and reading comprehension skills, and become familiar with the key elements of a story.

Number of Lessons: 10

The Human Body

Students are introduced to the systems of the human body, care of the body, germs and disease, vaccines, and keys to good health.

Number of Lessons: 10

Different Lands, Similar Stories

Students encounter cultures from around the world as they explore the ways in which folktales from different lands treat similar themes or characters.

Number of Lessons: 9

Early World Civilizations

Students explore Mesopotamia and Egypt and learn about the importance of rivers, farming, writing, laws, art, and beliefs.

Number of Lessons: 16

Early American Civilizations

Students compare and contrast key features of the early civilizations of the Maya, Aztec, and Inca, and explore the development of cities.

Number of Lessons: 11

Astronomy

In this introduction to the solar system, students learn about Earth in relation to the moon, other planets, the sun, and the stars.

Number of Lessons: 9

The History of the Earth

Students learn about the geographical features of Earth’s surface, the layers of the earth, rocks and minerals, volcanoes, geysers, fossils, and dinosaurs.

Number of Lessons: 8

Animals and Habitats

Students focus on the interconnectedness of living things as they learn what a habitat is and explore specific types of habitats.

Number of Lessons: 9

Fairy Tales

Students learn about the Brothers Grimm, identify common elements of fairy tales, make interpretations, and compare and contrast different tales.

Number of Lessons: 9

A New Nation: American Independence

Students are introduced to important historical figures and events in the story of how the 13 colonies became an independent nation.

Number of Lessons: 12

Frontier Explorers

Students are introduced to exploration of the American West, its key figures, and how colonists spread westward, including their interactions with native peoples.

Number of Lessons: 11

Unit 1 provides a review of the sounds/spellings taught in the CKLA Kindergarten curriculum. Teachers administer the beginning-of-year assessment.

Students read and write words with long vowel spellings and learn new Tricky Words. The unit also includes grammar lessons on nouns.

Work continues on vowel sounds and their spellings. Grammar focus is on verbs and verb tense. Formal instruction in the writing process begins.

Students work with /r/-controlled vowel sounds. Students practice segmenting two-syllable words. Adjectives are introduced as students practice descriptive writing.

Students work with spelling alternatives for sounds. Students also learn to identify sentence types. They plan, draft, and edit opinion letters.

Students continue to work with several spelling alternatives for sounds. Students review nouns and pronouns. They plan, draft, and edit personal narratives.

Students focus on spelling alternatives for sounds. Students plan, draft, and edit an informative/explanatory text. Students are administered an end-of-year assessment.

Fairy Tales and Tall Tales

Students consider characteristic elements of fairy tales and tall tales and consider problems faced by the characters and lessons each story conveys.

Number of Lessons: 8

Early Asian Civilizations

Students are introduced to Asia, specifically India and China. In addition, students are introduced to related folktales and poetry.

Number of Lessons: 14

Ancient Greek Civilization

Students explore the civilization of ancient Greece, which lives on in many ways—in our language, government, art, architecture, the Olympics, and more.

Number of Lessons: 12

Greek Myths

Building on the Ancient Greek Civilization domain, students explore common characteristics and story elements of several well-known Greek myths and mythical characters.

Number of Lessons: 10

The War of 1812

Students are introduced to major figures and events in the War of 1812, sometimes called America’s “second war for independence.”

Number of Lessons: 8

Cycles in Nature

Students are introduced to natural cycles that make life on Earth possible, such as seasonal cycles, life cycles, and the water cycle.

Number of Lessons: 9

Westward Expansion

Students are introduced to an important period in the history of the United States—the time of westward expansion during the 1800s.

Number of Lessons: 9

Insects

Students learn about the helpful and harmful characteristics of insects, insect life cycles, and social insects such as bees and ants.

Number of Lessons: 8

The U.S. Civil War

Students learn about the controversy between the North and the South over slavery and about key historical figures during that time.

Number of Lessons: 11

Human Body: Building Blocks and Nutrition

Students learn about the human body, including body systems, good nutrition, keys to good health, and the advances in microbiology made by Anton van Leeuwenhoek.

Number of Lessons: 9

Immigration

Students explore the idea of e pluribus unum and the importance of immigration in the history of the United States.

Number of Lessons: 10

Women in early 20th-century clothing march with signs for voting rights and justice in front of a yellow bus labeled "Cleveland Ave.," making history that can inspire lessons in a K–2 language arts curriculum.
Fighting for a Cause

Students explore the connection between ideas and actions, and see how people can do extraordinary things to change the dominant ideas and actions of an entire nation.

Number of Lessons: 9

Un contorno simplificado de un gato saltando para atrapar una mariposa, sobre un fondo verde con varias ilustraciones relacionadas con gatos y palabras como "saltar" y "leche".

Sound-spellings with an emphasis on consonant sounds, one- and two-syllable words, and Tricky Words are reviewed. The beginning-of-year assessment is administered.

Ilustración de un animal verde sobre un fondo verde con varios objetos delineados como una cama, un conejo, una nube y sonidos fonéticos.

The unit focus is on various sound-spellings and words with one- and two-syllables. Students begin the writing process, writing narratives and opinions.

Fondo verde con el contorno blanco de un birrete de graduación en el centro, rodeado de varios garabatos educativos y relacionados con logros, como un trofeo, una cinta y una portería de fútbol.

Practice with spelling alternatives continues. Grammar focuses on capitalization, quotation marks, ending punctuation, and common and proper nouns. Students write personal narratives.

Ilustración de un paisaje urbano con varios símbolos que incluyen un tren subterráneo, una panadería, la Estatua de la Libertad y carteles que dicen "ahora contratando" y "ciudad/ee" sobre un fondo verde.

Students practice a range of spelling alternatives. Students practice persuasive writing as part of a friendly letter. Students learn more about nouns and verbs.

Students practice chunking sounds as they read multisyllabic words. Grammar work includes adjectives, subjects, and predicates. Writing includes rewriting a story ending.

Students review advanced phonics and grammar skills. Students are introduced to expository/report writing. Students take an end-of-year assessment.

Program components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

Component

FORMAT

Knowledge Strand Teacher Guide

Knowledge Strand Teacher Guides contain Amplify CKLA’s cross-curricular read-alouds and application activities, all of which are standards-based to build mastery of content knowledge and literacy skills. There is one Teacher Guide per Knowledge Domain.

Print or digital

Knowledge classroom materials

Amplify CKLA includes oversized Flip Books and smaller Image Cards that bring each topic to life through vivid visuals.

Print or digital

Skills Strand Teacher Guide

Amplify CKLA Skills Strand Teacher Guides include comprehensive research-based instruction in phonological and phonemic awareness, phonics, print concepts, the alphabetic principle, grammar, writing mechanics, comprehension, spelling, and other critical foundational literacy skills.

Print or digital

Hands-on Skills ancillaries

Dynamic classroom materials include student Chaining Folders, Small and Large Letter Cards, Spelling Cards, Sound Cards, Big Books, Vowel and Consonant Code Flip Books, Code Charts, and more.

Print or digital

Assessment and Remediation Guide

The unit-by-unit Assessment and Remediation Guide provides thousands of pages of activities for reteaching, differentiation, and additional practice.

Print or digital

Digital experience

The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.

Digital

Component

FORMAT

Knowledge Strand Activity Books

Knowledge Strand Activity Books provide students with the opportunity to deepen world and word knowledge by responding to text in a diversity of ways.

Print

Skills Strand Student Reader

Unique decodable Student Readers provide direct practice with just-learned sound-spelling patterns, using compelling stories and characters to integrate phonics and comprehension.

Print

Skills Strand Activity book

Skills Strand Activity Books support the program’s connected approach to reading and writing, providing ample opportunities to respond to text while building core skills.

Print

Digital experience

The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.

Digital

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

Program overview

Boost Math is a personalized learning math instruction and practice program. The game-based experience engages all students in grade-level mathematics in ways that prepare them for success in, and build enthusiasm around, algebra and later math.

Student experience

When students click on their Curioso icon, they are taken into their quest. Quests consist of brief narrative scenes, punctuated with skill practice in the form of games. Once a student completes a scene, their very own collection of personalized skill games appears on the right side of the screen. Students can play these games in any order.

  • Students in grades 1 and 2 will experience games related to comparing numbers, measuring, and more.
  • Students in grades 3, 4, and 5 will experience games related to fractions, area, multiplication, and more.
  • Students will also experience activities known as “Makers,” which are open-ended activities within each quest related to the quest narrative, giving students an opportunity to apply different math applications to the real world.

Note: This is an early subsection of the product. Some content may be appropriate for some students, but difficult for others. This is feedback we want to hear. The designs are also still in-progress, with many aspects yet to be featured. We welcome all suggestions!

Implementation guidelines

We recommend that students should play for a total of 60 minutes per week, broken up into 3–4, 15–20 minute sessions. Consider using Boost Math during the following times:

  • Small group or centers time
  • Choice time
  • During intervention blocks
  • After school
  • At home
  • Remote learning

Getting your students online

Instruct students to navigate to learning.amplify.com, and log in using the method you typically use when logging into Amplify Reading.

Find and click on the icon for Boost Math, as shown above.

Students will then see the screen showing Sequence Falls, the location in which their Boost Math journey takes place.

Troubleshooting guide

To clear your Chrome browser cache/cookies:

  • On your computer, open Chrome.
  • At the top right, click the three vertical dots.
  • Click More Tools, Clear browsing data.
  • At the top, choose a time range, select All time.
  • Check the boxes next to “Cookies and other site data” and “Cached images and files.”
  • Click Clear data.
  • From the Safari menu at the top of the screen, select “Safari”
  • Select “Preferences” from the drop-down menu
  • Open the “Privacy” tab
  • Select the “Manage Website Data” button
  • Choose “amplify.com” from the list of sites
  • Select the “Remove” button
  • Select “Done”, then close the window

Please check to ensure “cookies” are accepted on your device.

If you still receive an error message or blank screen when accessing an Amplify page, please email Aya Bukres.

Please email Jehan Miah to confirm your login credentials.

To reset your Amplify password: click Login with Amplify, then click the Forgot Password link. If you do not receive an email with password reset instructions, please check your Spam folder. To ensure messages to not go to your Spam inbox, make sure to include the following addresses as trusted sources:

  • do-not-reply@amplify.com
  • noreply@amplify.com
  • noreply@welcome.amplify.com

Elk Grove Science K5

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Phonological awareness games

In Cut It Out, students isolate individual phonemes by listening to a beginning, middle, or ending sound and choosing a picture of the word containing the sound in that position.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.C — Isolate and pronounce initial, medial vowel, and final sounds (phonemes) in spoken single-syllable words.
  • CCSS.ELA-LITERACY.RF.K.2.D — Isolate and pronounce the initial, medial vowel, and final sounds (phonemes) in three-phoneme (consonant-vowel-consonant, or CVC) words.1 (This does not include CVCs ending with /l/, /r/, or /x/.)

In Gem & Nye, students blend sounds into words, starting with compound words and syllables and then moving to beginning (onset) and ending (rime) sounds and finally individual phonemes, to identify the picture of the word the Soundbots say when blended together.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.B — Orally produce single-syllable words by blending sounds (phonemes), including consonant blends.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.

In Wordbots, students practice segmenting words into their onsets and rimes to determine which Startbots and Endbots form a stimulus word.

Skills
Phonological awareness

  • Segment at the compound-word and onset-rime level

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.

In Zoom Boom, students practice rhyming by listening to a word and identifying the picture of the word that rhymes with it.

Skills
Phonological awareness

  • Rhyming

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.A — Recognize and produce rhyming words.

Phonics Games in Amplify Reading: K–2

In Curioso Crossing, students practice accurate and automatic word recognition by identifying the correct spoken word to guide their Curioso safely throughout the land.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read high-frequency irregular words, regular words, words with inflected endings, two-syllable words, words with prefixes and suffixes, and multi-syllable words

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACY.RF.1.3.E — Decode two-syllable words following basic patterns by breaking the words into syllables.
  • CCSS.ELA-LITERACY.RF.1.3.F — Read words with inflectional endings.
  • CCSS.ELA-LITERACY.RF.2.3.A — Distinguish long and short vowels when reading regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.2.3.C — Decode regularly spelled two-syllable words with long vowels.
  • CCSS.ELA-LITERACY.RF.2.3.D — Decode words with common prefixes and suffixes.
  • CCSS.ELA-LITERACY.RF.2.3.F — Recognize and read grade-appropriate irregularly spelled words.
  • CCSS.ELA-LITERACY.RF.K.3.C — Read common high-frequency words by sight (e.g., the, of, to, you, she, my, is, are, do, does).
  • CCSS.ELA-LITERACY.RF.1.3.G — Recognize and read grade-appropriate irregularly spelled words.

In Food Truck, students practice “chopping” blends, ending sounds (rimes), and whole words into beginning sounds (onsets), ending sounds, and individual letters to create orders for their hungry goblin customers. The difficulty of words and segmenting tasks increases with each level as customers order more sophisticated “dishes.”

Skills
Phonics – Early Decoding

  • Decode and spell words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Grumpy Goblins, students learn sound-spelling correspondences for consonant digraphs and vowel teams by listening to a sound from a goblin and feeding it the piece of toast with the corresponding letter or combination.

Skills
Phonics – Letter Combinations

  • Sound-spelling correspondences for consonant digraphs and vowel teams

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Hangry Goblins, students practice letter-sound combinations by feeding individual letter sounds, consonant digraphs, blends, and vowel teams to goblins that become more and more “hangry” until they are given the letters that match their demands.

Skills
Phonics – Letter Sound Correspondence

  • Sound-spelling correspondences for individual letters and letter combinations

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Picky Goblins, students practice sound-spelling correspondences for individual letters by listening to a sound from a goblin and feeding it the piece of toast with the corresponding.

Skills
Phonics – Letter-Sound Correspondence

  • Sound-Spelling Correspondences for single letters

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.

In Read All About It, students practice reading sentences with words that include the sound-spelling correspondences, word features (e.g., prefixes/suffixes), and phonics rules (e.g., vowel consonant long e, syllable patterns) they learned and practiced in other games.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read grade level text accurately

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.K.4 — Read emergent-reader texts with purpose and understanding.
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.1.4 — Read with sufficient accuracy and fluency to support comprehension.
  • CCSS.ELA-LITERACY.RF.2.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.2.4 — Read with sufficient accuracy and fluency to support comprehension.

In Rhyme Time, students practice with different rime families (words that end with the same sounds and rhyme) and decode words in these families by swapping the first letter sounds of words while the ending sounds remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Tongue Twist, students practice with different rime families (words that end with the same sounds and rhyme) and build words by changing the ending sound (rime) while the beginning (onset) sounds, consonant blends, and consonant digraphs remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Word City, students identify and manipulate beginning, middle, and ending letter sounds to assemble word chains that form buildings.

Skills
Phonics – Early Decoding

  • Letter-sound correspondence
  • Decoding and spelling regular words

Standards Covered

  • CCSS.ELA-LITERACYRF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACYRF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACYRF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACYRF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACYRF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

Microcomprehension Games in Amplify Reading: K–2

In Because This, That, students learn how common text structures give clues to meaning by rearranging sentences to identify cause and effect or problem and solution.

Skills
Microcomprehension

  • Text Structure: Organize sentences using sequence/chronological order

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Connect It!, students practice using different types of conjunctions (temporal and causal, for example) to combine two clauses into a coherent sentence.

Skills
Microcomprehension

  • Syntactic awareness – connectives

Standards covered

  • CCSS.ELA-LITERACY.L.2.3 — Use knowledge of language and its conventions when writing, speaking, reading, or listening.

In Message in a Bottle, students build their awareness of syntax and the impact word order has on meaning by unscrambling scraps of lost messages to reconstruct sentences.

Skills
Microcomprehension

  • Syntactic awareness

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

In Mind the Gap, comprehension levels are assessed through a modified cloze exercise in which students make selections to fill in the blanks of a text where approximately every seventh word has been omitted.

Skills
Microcomprehension

  • Reading fluency
  • Syntactic awareness
  • Inference
  • Comprehension monitoring

Standards covered

  • CCSS.ELA-LITERACY.CCRA.R.1 — Read closely to determine what the text says explicitly and to make logical inferences from it; cite specific textual evidence when writing or speaking to support conclusions drawn from the text.
  • CCSS.ELA-LITERACY.CCRA.R.10 — Read and comprehend complex literary and informational texts independently and proficiently.

In Show Off, students learn how common text structures give clues to meaning, using cues from illustrations to rearrange sentences in the correct sequential or chronological order.
Skills
Microcomprehension

  • Text structure: Organize sentences using problem/solution and cause/effect

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.

In Sloppy Scrolls, students practice the art of comprehension monitoring, or ensuring that they continually build and check a mental model of what they read. In the game, students are introduced to a world of enchanted scrolls that have lost their magic: they contain inconsistencies, and no longer make sense. The students must attempt to identify the inconsistencies by tapping the sentences that don’t match the rest of the passage. To increase the challenge of the game, some of the passages are presented without errors.

Skills
Microcomprehension

  • Comprehension Monitoring

Standards Covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In Storyboard, students practice making inferences by completing a storyboard that integrates relevant background knowledge missing from a given sentence.

Skills
Microcomprehension

  • Inference

Standards covered

  • CCSS.ELA-LITERACY.RL.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.1.1 — Ask and answer questions about key details in a text.

In Super Match, students work on developing cognitive flexibility, or the ability to track multiple elements simultaneously, by completing interactive puzzles that associate pictures and words across multiple dimensions (e.g., color and category, or starting sounds and category).

Skills
Microcomprehension

  • Cognitive flexibility

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.A — Sort words into categories (e.g., colors, clothing) to gain a sense of the concepts the categories represent.
  • CCSS.ELA-LITERACY.L.1.5.B — Define words by category and by one or more key attributes (e.g., a duck is a bird that swims; a tiger is a large cat with stripes).
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.

In Unmask That, students build their understanding of anaphora, a tool authors use to avoid repetition, by linking pronouns to their antecedents in text.

Skills
Microcomprehension

  • Syntactic awareness – anaphora

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

Comprehension Games in Amplify Reading: K–2

In Best Buddy, students examine character traits to determine which school club provides the best fit for their fictional friends.

Skills
Comprehension – Key Ideas and Details

  • Character Traits

Standards Covered

  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Book Club, students compare and contrast two books on the same topic or theme to determine which book best meets the needs of a character in the game.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Compare and Contrast Texts

Standards covered

  • CCSS.ELA-LITERACY.RI.1.9 — Identify basic similarities in and differences between two texts on the same topic (e.g., in illustrations, descriptions, or procedures).
  • CCSS.ELA-LITERACY.Rl.2.9 — Compare and contrast the most important points presented by two texts on the same topic.
  • CCSS.ELA-LITERACY.RL.2.9 — Compare and contrast two or more versions of the same story (e.g., Cinderella stories) by different authors or from different cultures.

In Debate-a-Ball, students practice identifying the best evidence to support a claim. Students pick an animal avatar to compete with an automated opponent in debates on familiar topics. To win, students must put forward the best evidence to support each claim more frequently than their opponents. They are taught to identify evidence that is factual and strongly related to the claim.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Evaluate evidence

Standards covered

  • CSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Picture This, students complete the illustrations for a story by identifying words that describe its setting, characters, problems, and solutions.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.1 — Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Storybox, students choose settings, situations, and solutions to send characters on different adventures, using details and context to help them resolve problems and complete the story.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.K.3 — With prompting and support, identify characters, settings, and major events in a story.

In Tube Tales, students learn the attributes of different genres and practice identifying them in brief texts.

Skills
Comprehension – Craft and Structure

  • Text schema

Standards covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.
  • CCSS.ELA-LITERACY.RI.2.5 — Know and use various text features (e.g., captions, bold print, subheadings, glossaries, indexes, electronic menus, icons) to locate key facts or information in a text efficiently.
  • CCSS.ELA-LITERACY.RI.2.10 — By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In What’s the Big Idea, students examine pictures, picture sequences, and short passages to practice differentiating the main idea from story details.

Skills
Comprehension – Key Ideas and Details

  • Main idea

Standards covered

  • CCSS.ELA-LITERACY.RI.K.2 — With prompting and support, identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.1.2 — Identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.2.2 — Identify the main topic of a multiparagraph text as well as the focus of specific paragraphs within the text.

Vocabulary Games in Amplify Reading: K–2

In Punchline!, students learn how words can have multiple meanings by channeling their inner comedian to crack homonym-based jokes.

Skills
Vocabulary

  • Multiple-meaning words

Standards covered

  • CCSS.ELA-LITERACY.L.2.4.A — Use sentence-level context as a clue to the meaning of a word or phrase.

In Shades of Meaning, students differentiate the nuances in similar words — first by ordering them from weakest to strongest, largest to smallest, or least to greatest; then by putting them into sentences that further clarify their meaning.

Skills
Vocabulary

  • Shades of meaning

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.D — Distinguish shades of meaning among verbs differing in manner (e.g., look, peek, glance, stare, glare, scowl) and adjectives differing in intensity (e.g., large, gigantic) by defining or choosing them or by acting out the meanings.
  • CCSS.ELA-LITERACY.L.2.5.B — Distinguish shades of meaning among closely related verbs (e.g., toss, throw, hurl) and closely related adjectives (e.g., thin, slender, skinny, scrawny).

Amplify Reading: K–2’s Integrated eReader

eReader Overview

Amplify Reading: K–2 has a new library of over 25 fiction and non-fiction ebooks and an adaptive algorithm that unlocks each book at the exact right point in a reader’s development. Moreover, they contain familiar interactions from the games so that students move seamlessly from text-embedded-in-games to games-embedded-in-text, maximizing their sense of growing competency.

The eReader also provides optional supports for its readers. From the settings icon on the title page of each book, students can turn on sentence numbering, read aloud functionality, and reveal words, as well as adjust the text size.

Student Experience
When students are ready for a text, it will appear as one of their quest steps.

When readers first unlock a new book, they read through it without interruption (with read-aloud support if appropriate).

In the second read, students discover embedded activities that repeat the familiar iconography of a game they previously mastered.

At the end of the book, additional activities evaluate students’ comprehension.

Achievements in books are part of the same overall reward system: helping your Curioso grow, just like achievement in skill-building games. Mastery of the content is reflected in the teacher dashboard within the given skill.

How teachers are using Amplify Reading

Independent study/rotation stations
Amplify Reading is a personalized, differentiated program designed to keep students engaged and on task in independent study. The program is most effective when used for a minimum of 45 minutes per week.

Other common uses
We designed the program to be flexible enough to fit any classroom model. Amplify Reading is browser-based, so it works on Chromebooks, iPads, laptops, desktops, and even iPhones. It can also be used at home to extend learning beyond the classroom.

Integrating literacy in the science classroom

What do science classrooms and ELA classrooms have in common?

Literacy.

As science students build their scientific literacy, they also build their literacy literacy—as in,their capacity to read, write, and think across all disciplines. In a sense, all teachers are teachers of literacy, as students read to learn in essentially every subject.

An ELA teacher can help students learn to read and interpret certain types of non-fiction and science-related texts, while a science teacher is uniquely positioned to integrate a science curriculum with a focus on literacy goals. ELA teachers are the experts on what the average person considers literacy; however, science teachers are the true experts on science literacy.

In this post, we’ll take a look at what it means for science teachers to support literacy growth in their students.

Scientific literacy vs. literacy in science

First, let’s define our terms.

Scientific literacy refers to a student’s understanding of scientific concepts, inside and outside the classroom.

Literacy in science refers to the literacy skills that students use to acquire and share scientific knowledge. These skills include reading, writing, speaking, and listening.

Developing students’ literacy in science helps them develop scientific literacy. Science literacy allows students to become critical thinkers, problem solvers, and strategic questioners.

 Insights on integrating science and literacy

Integrating literacy into science is more than making sure students read articles and write lab reports—but the two are still a natural fit.

The standards that guide instruction in grades 6–8 make this integration concrete. Certain Common Core ELA standards intersect with the Next Generation Science Standards (NGSS).

To cite just a few examples, the Common Core requires students to be able to:

  • Cite specific textual evidence to support analysis of science and technical texts. RST.6-8.1
  • Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge or opinions. RST.6-8.2
  • Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. RST.6-8.3
  • Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table). RST.6-8.7
  • Distinguish among facts, reasoned judgment based on research findings, and speculation in a text. RST.6-8.8

What’s required of students is what’s often called disciplinary literacy. That means literacy through the lens of inquiry in a given field. Science has its own set of vocabulary and reading/writing styles students need to learn to understand, decode, and write in.

And when they do, the academic benefits go both ways.

 Integrating literacy into science encourages both science and ELA growth

The scientific method requires students to ask questions, listen to explanations, and present conclusions. And when science teachers use targeted literacy teaching strategies, they can help students understand challenging scientific vocabulary. For example, they can learn the difference between the two meanings of the word “culture.” Those are the same approaches students will use when analyzing with and communicating about texts in ELA.

Also, reading in science can be more than just reading a science textbook or science-related article—teachers can help students learn to read through a scientific lens by encouraging even the youngest students to articulate their questions about a text and understand where they might find answers.

And then there’s writing: “Science and writing standards are really in service of each other,” writes educator Gina Flynn in Literacy Today. “When we present authentic writing opportunities in science, we are not only developing students’ understanding of science concepts but also providing an authentic context for developing writing skills.”

Integrating science into ELA also encourages both science and ELA growth. When students grapple with science-related texts in ELA, they can develop ways of thinking and communicating that support the scientific approach, refine sense-making skills that are key to both disciplines, and get inspired to keep up with the latest scientific discoveries—yet another great reason to read.

More to explore

Science and literacy: You don’t have to choose

Amplify K–5 integrated literacy and science instruction

6–8 literacy elements in Amplify Science

Identifying math anxiety

Can you do long division in your head and calculate tips in your sleep? Or does the mere thought of arithmetic keep you up at night?

If you fall into the latter camp, you’re not alone.

Math anxiety is real—and an established body of research proves it. In fact, data shows that math anxiety affects at least 20% of students.

And its effects can be damaging in both the immediate and long term. It can bring down student performance both in and beyond math, and in and outside the classroom.

Fortunately, we’re also learning how teachers can help students manage math anxiety—and succeed wherever it’s holding them back.

We explored this topic on a recent episode of Math Teacher Lounge, our biweekly podcast created specifically for K–12 math educators. This season is all about recognizing and reducing math anxiety in students, with each episode featuring experts and educators who share their insights and strategies around this critical subject.

Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University, has been studying math anxiety for more than a decade. He joined podcast hosts Bethany Lockhart Johnson and Dan Meyer to share his insights.

So let’s take a look at what math anxiety is—and is not. We’ll also explore what impact it has on learning, and what we can do about it.

What is math anxiety?

Math anxiety is more than just finding math challenging, or feeling like you’re “not a math person.” Dr. Ramirez offers this definition: “[Math anxiety] is a fear or apprehension in situations that might involve math or situations that you perceive as involving math. Anything from tests to homework to paying a tip at a restaurant.”

Math anxiety may cause sweating, rapid heartbeat, shortness of breath, and other physical symptoms of anxiety.

But while math anxiety has some similarities with other forms of anxiety, it’s exclusive to math-related tasks, and comes with a unique set of characteristics and influences.

Math anxiety can lead sufferers to deliberately avoid math. And this avoidance can not only result in a student not learning math, but also limiting their academic success, career options, and even  social experiences and connections. This can look like anything from getting poor grades in math class, to tension with family members over doing math homework.

Parents and teachers can suffer from math anxiety, too. In fact, some research suggests that when teachers have math anxiety, it’s more likely that some of their students will, too.

What causes math anxiety?

It’s not correlated to high or low skill or performance in math. Students who generally don’t do well in math can experience math anxiety because they assume they’ll do poorly every time. Students who have been pressured to be high-achieving experience math anxiety because they’re worried they won’t meet expectations.

Other triggers may include:

  • Pressure. Pressure from parents or peers to do well in math can create anxiety, especially if the person feels that their worth or future success is tied to their math abilities.
  • Negative past experiences. Someone who has struggled with math or gotten negative feedback about their math skills might develop math anxiety. They may start to avoid or fear math, making it even harder to approach and improve.
  • Learning style. Different people have different learning styles. When someone’s learning style doesn’t match the way math is taught in their class or school, they may struggle and develop anxiety.
  • Cultural factors. When students hear things like, “Boys are better at math,” it can increase math anxiety in girls who may absorb the notion that they are already destined to underachieve.

Math anxiety and working memory

Dr. Ramirez has researched the important relationship between math anxiety and working memory.

Working memory refers to the ability to hold and manipulate information in short-term memory. People with math anxiety often have poorer working memory capacity when it comes to math-related tasks. This is thought to be due to the cognitive load created by anxiety, which can interfere with the ability to manage information in working memory.

The result? A negative feedback loop. Poor working memory can lead to further math anxiety, and increased anxiety can further impair working memory.

However, it’s important to note that not all individuals with math anxiety experience a decline in working memory capacity. Some may have average or above-average working memory capacity but still experience math anxiety. In such cases, the anxiety may be related to negative beliefs about one’s ability to perform math tasks, rather than an actual cognitive deficit.

What we can do about math anxiety

Even though math anxiety is a distinct type of anxiety, interventions such as cognitive behavioral therapy, exposure therapy, and mindfulness approaches have been shown to be effective in reducing it.

It starts, says Dr. Ramirez, with normalizing the anxiety.

“If you’re a student and you’re struggling with math and I tell you, ‘Yeah, it’s hard, it’s OK to struggle with math,’ that makes you feel seen. And that’s gonna lead you to want to ask me more for help, because I’m someone who understands you,” says Dr. Ramirez. “And that’s a great opportunity.”

Learn more

Start your 30-day free trial of Desmos Math 6–A1.

The power of phenomena in the science classroom

In conversation, something “phenomenal” is something exceptional, extraordinary.
But in science, an event does not have to be “phenomenal” for it to be a phenomenon.
In fact, a phenomenon in science can be as ordinary and predictable as gravity.
To qualify as a scientific phenomenon, an event simply has to be observable.
That is, a scientific phenomenon is an observable event that occurs in the universe. It’s something we can use our science knowledge to explain or predict. Examples of science phenomena include the erosion of dunes or soil, or the formation of bubbles or ice.
And you know what else is observable? The positive impact of phenomena-based learning on the science classroom. That’s why phenomena-based learning is baked into the Next Generation Science Standards (NGSS).

Let’s take a look at why the power of science phenomena to deliver engagement and learning is, dare we say, extraordinary!

The power of phenomena-based learning in science

Many of us learned science a different way, by starting with a general or abstract principle then applying it in the real world.

But when you start with phenomena in science, you start with the observable real-world event. You ask questions: Why is brown water coming out of the pipes built for drinking water? Where did all the monarch butterflies go? You help students see why science is relevant, right from the outset of the inquiry.

Even everyday phenomena—like sunburns, or vision loss—can generate real learning opportunities. Explaining phenomena and designing solutions helps students learn in context, leading to deeper and more transferable knowledge.

The challenge of predicting or explaining the phenomenon becomes the motivation for learning. And it has the added benefit of being how real scientists proceed with their work!

The power of phenomena science lies in its capacity to bring real life into the classroom. A phenomena-based science curriculum engages students by starting with the real and relatable rather than the abstract. It also trains students to be inquisitive, expansive, critical thinkers.

When you shift to a phenomena-based approach, you help students shift from learning about to figuring out.

How the NGSS support phenomena-based learning

The NGSS help students make sense of phenomena in the natural world and in human-designed machines and products.

Learning to explain phenomena and solve problems is the main way that students engage in the three dimensions of the NGSS—they use Science and Engineering Practices (SEPs) to develop and apply Disciplinary Core Ideas (DCIs) and Crosscutting Concepts (CCCs).

Phenomena-centered classrooms also help teachers monitor student progress. As students work toward explaining phenomena, three-dimensional formative assessment is easily embedded throughout instruction.

How to bring phenomena into the science classroom

The power of phenomena-based learning lies in real-world relevance. Also, phenomena don’t generate learning all by themselves—student questions about phenomena guide teaching and learning.

That’s why it’s helpful to make sure students can connect to the phenomenon at hand. The following are a few steps you can take to integrate this approach into your classroom:

  • Ask students what they’re curious about. Why do leaves change color? What is lightning? Why do ice cubes stick to my finger?
  • Connect iterations of a given phenomenon to students’ lives. When discussing how sunlight warms the earth, a teacher might use examples of the sun heating sand, or asphalt depending on where students live.
  • Use one broad anchor phenomenon for the focus of a unit, and investigate related phenomena that relate to students’ interests and experiences. For example, exploring what we see in the sky will lead to different investigations depending on whether students live in an urban area or far from city lights.

Note that an engaging phenomenon does not have to be flashy or unexpected. Even if students think they already know why it rains, they may discover that they actually can’t explain it. Pushing students to inquire more will help them go beyond repeating things they’ve read, and go from learning facts to asking questions that reveal more about the world around them.

How Amplify Science can help

Amplify Science employs phenomena-based learning throughout the curriculum, which is itself phenomena-based and designed around the NGSS.

In one example, 6th graders take on the role of medical students in a hospital, working to diagnose a patient and analyze the metabolism of world-class athletes. In another, 8th graders work to explain Australia’s high skin cancer rates by investigating how light works and interacts with the world it shines on.

And what’s more, Amplify Science for grades 6–8 received an all-green rating from EdReports!

Learn more.

Centering students in math curriculum adaptations

Starting with a high-quality math program

In her research article, “Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula”, Janine Remillard described curriculum use as a dynamic and ongoing relationship between teachers and resources—a relationship shaped by both the teacher and characteristics of the resource.

I have found that while certain characteristics can make a math curriculum high-quality, it is only through its relationship with teachers that it creates truly meaningful math experiences for students.

In my own teaching experiences and now back in classrooms with teachers, I am convinced that no matter how well-constructed a lesson, it only gets better as teachers plan collaboratively and center their students.

Shaping lessons for the students in your classroom can be challenging because there is not one right way or time to adapt a lesson, and the reasons we adapt vary.

Sometimes we make relatively small tweaks to the wording of a prompt, a question the teacher should pose, or the timing of an activity.

Other times we make more substantial changes to the task or task structure in order to more clearly move toward the learning goal based on what we are seeing and hearing from students.

And then there are the times we realize in the midst of an activity we should have made an adaption in our planning.

I recently taught a 5th grade fractions lesson that provided a perfect example of the dynamic nature of the work.

Engaging in a math curriculum activity

This particular lesson falls at the end of the fraction addition and subtraction unit.

The Warm-Up of this lesson is a Number Talk, which made sense to the 5th grade teachers and I, given the unit focus.

We reviewed the mathematical concepts and problems in our planning session, anticipated that students might find common denominators, and agreed that the synthesis discussion around denominator choice aligned with the problems. 

Four addition problems with fractions—1/8 + 5/8, 1/8 + 6/16, 1/8 + 1/3, and 1/8 + 5/12—are arranged vertically to support math students and center student ideas in the math curriculum.

While we anticipated that students would successfully add, the number choices in the string led students to solve each one the same exact way, with the only difference being whether they stated their sum in simplest form or not.

Halfway through, we could see the majority of the students were getting bored and it was hard to infuse curiosity and excitement around denominator choice because students had already generalized a way of finding a common denominator—which at this point in the unit was great!

In the midst of the Number Talk, we paused and debated pivoting our focus to the problems in relation to one another rather than denominator choice. But we knew that doing that would add extra time to the lesson, when we needed the majority of the time for the activities that followed.

So we wrapped it up and moved on, knowing we had time to discuss our choice in an upcoming planning session.

Adapting in ways that center student ideas

After class, I couldn’t stop thinking about revisions I would make if we had the opportunity to plan it all over again. Because although the problems in the string supported mental calculation and aligned with the lesson activities, the students needed something different at this point in their learning.

After reflecting with colleagues, we decided the timing of that particular Number Talk for these students was too late in the unit and wondered if a different routine would have made it more engaging.

Using that Number Talk as a rough draft (shout out to Mandy Jansen), I played around with different number choices and routines we might use in a second take on that lesson. 

If we wanted to stick with the same task structure, we could adjust the numbers to create a new Number Talk or True or False? routine that more explicitly encouraged relational reasoning and use of the properties.

For example, the following problem strings still attend to denominators when adding fractions but also open up the space for more interesting and engaging student discourse. 

Number Talk

Four horizontal equations invite math students to add fractions with different denominators—1/8 + 5/8; 1/8 + 1/2; 1/8 + 1/2 + 9/24; and 1/8 + 1/2 + 9/24 + 6/4—centering student ideas as part of a dynamic math curriculum.

True or False?

Four lines of math equations with fractions involve addition, comparison, and equality symbols—featuring denominators like 8, 16, 3, 7, and 24—centered on student ideas to enhance the math curriculum for eager math students.

If we wanted to use a different structure altogether, we could try the Which One Doesn’t Belong? routine to provide opportunities for students to notice other interesting aspects.

In this activity, students share reasons why one of four items—in this case, equations—doesn’t belong. There is no single right answer because each object could both belong and not belong, depending on the student’s criteria. (If you’ve never tried this routine, it’s a must!)

A set of four boxes labeled A to D, each showing a math equation involving the addition of two fractions and their simplified sum—perfect for centering student ideas and matching student needs in any math curriculum.

Because I couldn’t wait until this lesson next year to see what students would do with one of these ideas, I asked them to write about the Which One Doesn’t Belong? The variation among their ideas was exciting.

While I could still see attention to the denominators as in the original Warm-Up, students were now describing their ideas in much more unique ways. If this had been the original Warm-Up, it’s not hard to imagine how much more engaged students would have been—and how much more teachers would have learned about their thinking. 

A worksheet from the math curriculum asks which fraction equation doesn't belong; all options are shown worked out, and a handwritten note concludes that none are wrong if you do the math, centering student ideas and matching student needs.
Student response 2 to the "Which One Doesn't Belong Question" This students picks option A
Student response 2 to the "Which One Doesn't Belong Question" This students picks option A
Student response 2 to the "Which One Doesn't Belong Question" This students picks option B
Student response 2 to the "Which One Doesn't Belong Question" This students picks option B
Student response 2 to the "Which One Doesn't Belong Question" This students picks option C
Student response 2 to the "Which One Doesn't Belong Question" This students picks option D
Student response 2 to the "Which One Doesn't Belong Question" This students picks option A and D

Learning from within the work of teaching

Curriculum materials have shaped my teaching and learning since the beginning of my time in the classroom. They then became the focus of my work at Illustrative Mathematics and now in my current work at Amplify.

I am a strong advocate for high-quality curriculum materials, and at the same time, I also believe that every curriculum can always be improved to better meet the needs of students and teachers.

I continually recognize and appreciate the time I get to spend planning, teaching, and reflecting with teachers about their dynamic and ongoing relationship with curriculum materials.

These opportunities to learn from within the work of teaching are invaluable inputs to our current work at Amplify, where we have the exciting opportunity to improve the characteristics of math resources currently in schools. 

Want to learn more from Kristin Gray? Watch her webinar!

Reading comprehension strategies grounded in science

When we teach reading using what science (specifically the Science of Reading) tells us, we guide the brain to start recognizing and understanding those letters, syllables, and words. And the most effective reading comprehension strategies depend not only on explicit instruction, but on building background knowledge.

Comprehension instruction: Breaking it down

According to the Simple View of Reading, two cognitive capacities are required for proficient reading: (1) decoding, and (2) language comprehension.

“Reading comprehension is the product, not the sum, of those two components,” says Dr. Jane Oakhill, professor of experimental psychology at the University of Sussex. “If one of them is zero, then overall reading ability is going to be zero.”

As Oakhill explains further on Science of Reading: The Podcast, each component contains its own set of distinct skills and processes. It’s crucial to help students develop all of these capacities.

Building mental models for new information

Some readers are great at decoding but struggle with language comprehension. Why might that be—and how can you support them?

Here’s some context: After you read this paragraph, you aren’t likely to recall the precise wording—but you will probably remember the idea. Researchers use the term mental model to describe the cognitive strategies for the structure you create in your mind to perform this feat of comprehension.

Historically, educators have thought about the process of comprehension — everything that happens after each word is recognized — as a black box. But now we know that there are two levels of comprehension at work: comprehension processes and comprehension products.

Comprehension processes are the steps you take to build a mental model of a text during reading. Comprehension products refer to the work you are able to do with that model after reading.

Think of the process of building a mental model as a sort of micro-comprehension. Weaker comprehenders build weaker models, so they may struggle when asked to create a narrative text summary, identify a theme, put together predictions, or describe key details of a character’s evolving beliefs.

By actively engaging with text, connecting prior knowledge, utilizing graphic organizers, receiving explicit instruction, and exploring new information, students can learn to build robust mental models that enhance their comprehension of the text. These mental models serve as frameworks for understanding, organizing, and synthesizing information, which then leads to improved comprehension, retention, and critical thinking.

Researchers have identified as many as 17 comprehension processes that affect students’ ability to build and use their mental models. The following are a few of the comprehension processes that weak comprehenders most commonly struggle with, and that with practice, can be targeted for skill development and improved overall comprehension.

  • Anaphora (using pronouns to refer to an earlier word or phrase): Some readers struggle to process pronoun relationships (Megherbi & Ehrlich, 2005), identify antecedents, and answer questions that require resolution of anaphora (Yuill & Oakhill, 1988).
  • Gap-filling inference: When reading the sentence “Carla forgot her umbrella and got soaking wet,” more skilled readers will conclude that it rained. A lack of awareness of when and how to activate background knowledge to fill in gaps may hinder a student’s ability to make inferences and comprehend the text as a whole (Cain & Oakhill, 1999).
  • Marker words: Writers use connective words (e.g., sothough, and yet), structure cues (e.g., meanwhile), and predictive cues (e.g., “There are three reasons why…”) to signal ways that text fits together. Students with limited knowledge of the meaning and function of these words may struggle with the meaning of the text (Oakhill, et al., 2015).
  • Comprehension monitoring: When proficient readers encounter difficulty, they tend to stop, reread, and try to figure it out. Less proficient readers may just keep going or fail to recognize that what they’re reading doesn’t fit their mental model.

Two strategies that you can employ in your classroom to guide students in comprehension strategy instruction:

  • Graphic organizers: Use graphic organizers such as concept maps, story maps, or Venn diagrams to help students learn to visually organize information and relationships within the text. Visualization enhances comprehension (Graesser, et al., 1994). As the text progresses, students can refer to and update their models.
  • Comprehension monitoring: Teach readers to monitor their comprehension while reading by pausing to reflect on their understanding, clarify confusing points, and adjust their reading strategies as needed. Monitoring comprehension helps good readers stay engaged and actively construct meaning from the text.

How background knowledge powers comprehension

The Science of Reading demonstrates the importance of systematic and explicit phonics instruction. But students don’t have to learn phonics or decoding before knowledge comes into the equation. In fact, the opposite might even be true.

Let’s say you’re handed a passage of text describing part of a baseball game. You read the text, and then you’re asked to reenact that part of the game. Which is most likely to help you do so?

  1. Your ability to read
  2. Your knowledge of baseball
  3. Neither

If you answered “2,” you’re batting 1,000. This example summarizes an influential 1988 study that concluded that the strongest predictor of comprehension was knowledge. In the study, which showed readers (with varying degrees of background knowledge about baseball) a passage describing a game, struggling readers comprehended as well as strong readers—as long as they had prior knowledge of baseball.

“The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, Ph.D., an associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast.

In fact, background knowledge is the scaffolding upon which readers build connections between prior knowledge and new words. Students with average reading ability and some background knowledge of a topic will generally comprehend a text on that topic as well as stronger readers who lack that knowledge.

But until recently, literacy instruction has typically focused on decontextualized skills—finding the main idea, making inferences—rather than on the content of texts and resources that students engage with. According to Cabell, what we know about knowledge and comprehension should inform instruction for the whole class. “I think most, if not every, theory of reading comprehension implicates knowledge,” she says. “But that hasn’t necessarily been translated into all of our instructional approaches.”

How can we help build background knowledge while teaching reading? Here are some strategies backed by science.

  • Systematically build the knowledge that will become background knowledge. Use a curriculum grounded in topics that build on one another. “When related concepts and vocabulary show up in texts, students are more likely to retain information and acquire new knowledge,” say education and literacy experts Barbara Davidson and David Liben. According to them, this retention even continues into subsequent grades. “Knowledge sticks best when it has associated knowledge to attach to.”
  • Provide instruction that engages deeply with contentResearch shows that students—and teachers, too—actually find this content-priority approach more rewarding than, in Davidson and Liben’s words, “jumping around from topic to topic in order to practice some comprehension strategy or skill.”
  • Support students in acquiring vocabulary related to content. Presenting keywords and concepts prior to reading helps students comprehend text more deeply. Spending more time on each topic helps students learn more topic-related words and more general academic vocabulary they’ll encounter in other texts.
  • Use comprehension strategies in service of the content. While building knowledge systematically, teachers can use proven strategies—such as chunking and creating graphic organizers—to help students develop skills they can use to support their for understanding of important information.
  • Use discussions and writing to help students learn content. Invite students to share their interpretations, supporting their thought processes in their own words and connecting with peers’ perspectives.
  • Help students forge connections in small groups. Help students draw connections between reading lessons and units—and their own experiences—as they grow their knowledge base together.

Every day, the Science of Reading has more to tell us about comprehension as a multifaceted skill that requires a combination of various strategies, tools, and techniques to unlock meaning from text. Because of this body of research, we know that when educators bring intentional and evidence-based practices into the classroom, students can enhance their ability to comprehend grade level text, analyze information critically, and engage with diverse subject areas. By nurturing students’ reading comprehension skills grounded in the Science of Reading, educators can empower students to become good readers who can navigate complex texts with confidence and understanding.

Explore more

The Amplify blog:

Science of Reading: The Podcast

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a new, curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they are eager to solve; teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

Scroll to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Offered in English and Spanish, Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Please scroll to learn more about the K–8 program and explore sample materials. (TK and high school materials are in development and will be available soon.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Assessment

mCLASS benchmark assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and Multilingual / English Learner support, Amplify Desmos Math California will allow every student to find success in the math classroom.

An educational game screen with a worm on a log and numbered blocks. Adjacent is a worksheet titled "Finding the Missing Pair" with instructions and incomplete equations.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Two pages of a math workbook displaying exercises on determining coordinates after rotation. The pages include diagrams, tables, and practice problems.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between Big Ideas. The grade-level diagram changes through the course based on the math concepts being addressed.

Focus, coherence, and rigor

Each lesson highlights why the content being covered is important, how students will engage with the mathematics, and what students will do with the learning. Our lesson opener helps teachers understand the most important concepts of the lesson, and includes the Drivers of Investigation (DI), Content Connections (CC), and Standards for Mathematical Practice (SMP) that drive learning in each lesson.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.
A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed in such a way that all students can access the basic mathematical concepts, but they also offer possibilities for advanced exploration and problem-solving for those ready for more complex work, promoting an inclusive and differentiated learning environment.

Our innovative course-level investigations are designed to facilitate multipart exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, equipping students with a strong foundation in interpreting and applying data-driven solutions. The Environmental Principles and Concepts (EP&Cs) are also a focus of our investigations, enabling students to understand and appreciate the coherence and interrelationship of Earth’s environmental systems.

A focus on multilingual and English learners

Children sitting at desks in a classroom with a large illustrated caterpillar on the wall. Beside them are printed educational materials labeled “Amplify Desmos Math” and “Ying’s Aquarium Story.”.

In building Amplify Desmos Math California, we partnered with the English Learner Success Forum (ELSF) to provide guidance on our multilingual/English learner support for teachers. ELSF is a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF’s guiding documents reflect research-based instructional strategies that are critical to curriculum design and were created by researchers, linguists, and practitioners from across the country. ELSF reviewed our materials and provided directional guidance and feedback to ensure that the program fully supports multilingual/English learners.

A component of our K–5 curriculum is the engaging unit stories that interweave mathematics with real-life situations and relatable narratives. These unit stories are specifically crafted to inspire curiosity and foster a deep connection between the learner and the math concepts being explored. This unique approach not only makes learning fun and interesting, but also allows our young learners to see themselves in the math.

To help students grow their domain-specific and academic vocabulary, Amplify Desmos Math California provides embedded vocabulary routines, such as prompting teachers to use a Frayer Model. These routines allow students to make connections to new language and offer repeated opportunities to develop and refine language.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resource has leveled ELD (Emerging, Expanding, Bridging) differentiation to support all levels of Multilingual and English Learners. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Uploaded digital glossary for languages other than Spanish. Up to nine languages of translations will be provided for.

Amplify Desmos Math California will include support resources for Spanish-speaking students across TK–Algebra 1/Integrated I beginning in the 20262027 school year.

A computer displays an educational activity about measuring platform heights. A notebook page is layered behind it, with a colorful hamster-themed illustration.

K–5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math California.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Digital educational activity showing a blue backpack illustration with dots, a task to match dots on cards, and printed sheet featuring a similar dot-matching exercise.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Illustration of a bear choosing a path with more mushrooms. Activity book page titled "A Furry Feast" with groups of objects to compare quantities.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math California.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital educational activity showing a math problem about leaves on a kalo plant with a related worksheet on plant growth.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive math activity for kids featuring a frog and number line for subtraction problems, asking to find differences to locate bugs.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math California.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Two digital worksheets about Theo's aquarium with tasks to estimate animal quantities using draggable graphs and illustrations of fish, frogs, and shrimps.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Educational activity on a screen showing a worm and blocks with numbers. Another page shows an activity titled "Finding the Missing Pair," with numbered options and a video prompt.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math California.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Math activity screenshot showing a problem to calculate the area of an unpainted wall space with given side lengths in a room diagram.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Activity sheets showing a bar graph and a table for counting animal stickers: 7 rabbits, 5 raccoons, and 2 foxes. Includes instructions for arranging data points on a graph.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Screenshot of a digital math activity showing a fraction number line task with a log-cutting visual and an instruction page titled "Locating Fractions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity displays a drag-and-drop task to determine platform heights using tube lengths, showing a room scene and instructions on a digital interface.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math California.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

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Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screen showing a student activity about decomposing a figure into prisms, with a drag-and-drop exercise and an adjacent worksheet labeled "Seeing Prisms.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

6–A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

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An educational document titled "Scope and Sequence" for Grade 6 math, designed in collaboration with Amplify Desmos Math, outlining six units with instructional and optional days for topics such as fractions, integers, and expressions.
Program structure

Get to know the content and structure of Grade 6 Amplify Desmos Math California.

Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Area; Unit 3, Sub-Unit 1: Units and Measurement; and Unit 6, Sub-Unit 1: Solving Equations.

A digital activity showing two model trains on a track with a question about speed. A printed page on the right is titled "Model Trains" with warm-up instructions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital illustration of math balancing scales featuring boxes and a fox, alongside a worksheet displaying similar content and activities for learning math concepts.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 7 math curriculum outline, featuring units on scale drawings, proportional relationships, measuring circles, rational numbers, operations, equations, angles, area, and probability with sequencing and days allocated. Perfectly aligned with Amplify Desmos Math for New York Math standards.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Scaled Copies; Unit 4, Sub-Unit 1: Percentages as Proportional Relationships; and Unit 6, Sub-Unit 1: Equations and Tape Diagrams.

Activity page showing a grid for shape creation with an area of 8 square centimeters. Includes shape options and instructions on rotation. A booklet page displays area challenges and warm-up tasks.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screenshot of an educational website showing a math activity featuring a sheep named Shira. There is a graph and a worksheet on inequalities displayed.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 8 math curriculum chart featuring 9 units, such as Rigid Transformations and Congruence, with Suggested Instructional days. Each unit outlines instructional days, assessment days, and optional days—complemented by insights from Amplify Desmos Math to enhance your New York math learning experience.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Rigid Transformations; Unit 3, Sub-Unit 2: Linear Relationships; and Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Image of a digital math activity titled "Line Capture #2" featuring a grid, equations, and instructions. A paper worksheet with graphs and a "Line Zapper" title is displayed alongside.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Algebra 1 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

A digital educational interface shows a graph with data points and textual instructions comparing year and breeding pairs. Adjacent is a page discussing penguin populations with charts and illustrations.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Contact us

For questions, samples, or more information, please contact your local Amplify Account Executive:

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Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
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Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

Request additional samples.

Ready to learn more? Connect with an Amplify Desmos Math California expert to request additional program samples.

S1-04: Connecting with students and caregivers in the science classroom: Ryan Rudkin

Promotional graphic for "science connections", season 1, episode 4, featuring a smiling woman named Ryan Rudkin, themed with science illustrations like atoms and a globe, highlighting how to engage students

In this special episode, our host Eric Cross sits down with veteran middle school teacher Ryan Rudkin. Ryan shares her expertise after almost two decades in the classroom, discussing ways to incorporate aspects of problem-based learning into the K–8 science classroom. Eric and Ryan talk about how to increase parent engagement, involve community members, and add excitement to lessons.

Explore more from Science Connections by visiting our main page.

Download Transcript

Ryan Renee Rudkin (00:00):

I know there’s other goals in mind, you know, standards and test scores. But at the end of the day, I wanna come back and I want them to come back.

Eric Cross (00:35):

My name’s Eric Cross, host of our science podcast, and I am with Ryan Rudkin, middle-school teacher out here in California just to the north up near Sacramento? El Dorado Hills?

Ryan Renee Rudkin (00:46):

Yeah. 20 miles east of Sacramento.

Eric Cross (00:49):

Nice. And I am down here in San Diego. And so Ryan, to start off, what I wanna do is ask you about your origin story, like a superhero. So how did you become a middle-school science teacher to become part of this elite profession of science folks that get to do awesome things with kids?

Ryan Renee Rudkin (01:08):

I would agree with you that it is definitely an elite profession. I got my credential and I thought I was gonna teach third or fourth grade elementary school. And the second day I got called for a sub job for middle school. And I just thought, “We’ll take it,” you know? And by second period, I knew: This is where I belong. The kids, middle school, students are just a species of their own. And you have to appreciate them. And if you do appreciate them, then you’re in the right spot. And I quickly looked at my coursework and I was able to get authorizations in science, history, and English, and I love science. So I chose science. And the rest is history. It’s been a wild ride and I wouldn’t have changed or asked for anything different. I love it.

Eric Cross (02:02):

I definitely agree with you. So, your history—you’ve been in various middle-school classrooms. Can you tell us a little bit about that? What classrooms have you been in? What disciplines of science have you taught or are currently teaching?

Ryan Renee Rudkin (02:14):

I was hired for seventh grade life science, and then I did that for a few years and then I got moved into eighth physical science, and I was there for 12 years. Love eighth grade science. I love eighth graders. Chemistry and physics are my favorite. There’s just so much opportunity for just awesome labs, great conversations, student discourse, all of that. And then the past three years I’ve been in sixth grade and now we’re integrated. So,a sixth grade integrated science and I also teach social studies and a technology design class.

Eric Cross (02:52):

Oh, nice. What do you do in your technology design class? That sounds cool.

Ryan Renee Rudkin (02:56):

Right now it’s mostly internet media and we use WeVideo, it’s an editing-video program, and we produce and put on our school weekly news bulletin. And then we weave in other projects. We do some interdisciplinary projects. Right now my students are working on a mythology God, Goddess, and Monster project that relates to our social studies curriculum. And we’re learning about Greece. So yeah, we just try to give them added projects and they’re using the WeVideo platform. By sixth grade, they’re coming to us now with wonderful skills with all the tech. I mean, if I need help, I ask them like, “How do you do something on Google Docs?” Or, “How do you do something on Drive?” The kids are definitely tech-savvy.

Eric Cross (03:49):

They must love being the teacher in the classroom. They get to—it kind of switches power roles, where they get to teach the teacher something.

Ryan Renee Rudkin (03:56):

Yes. And especially WeVideo, sometimes we’ve had some hiccups, and the kids show everybody, and that’s part of the design class. They’re trying to solve—we’re teaching them how to solve their own problems. So if there’s any kind of issue with anything with the technology, honestly, I usually tell them, “Go ask a friend,” or we kind of shout out, “Hey, who knows how to troubleshoot this?” And the kids are eager to help each other, which is nice.

Eric Cross (04:21):

And they have this authentic experience where they’re actually doing real problem-solving, as opposed to something that we manufactured. Like, those are real things that we have to deal with in life. And that’s exactly like how we solve it, right? We just go ask people! We look it up, and the ahas are genuine too. Throughout!

Ryan Renee Rudkin (04:36):

Yes, especially thinking on the fly. Especially yesterday, I was in the middle of teaching and my laptop froze, and it’s like, “OK, everybodytake a couple minutes, you know, work on this, this, or that while I switch out laptops!” And so I’m modeling, too, how to solve my own problems. And I think it teaches the kids how to do that too.

Eric Cross (04:59):

I’ve always thought it was interesting that when teachers get to teach in real time, how do we handle stress and frustration when it’s really happening? And I think the tech—at times, failure is the real one where you feel this chill or this sweat that kind of comes over you and you’re trying to present or cast or the video won’t play and things like that. I think I’ve done enough times in my years of teaching where now my students know what to do, or they want to come up and help, and we’re good with it. But I remember in the beginning when those things would kind of glitch or go wrong or the wifi goes down, and you’re like, OK, what do we need now?

Ryan Renee Rudkin (05:33):

I think it’s honestly, after the fact, when I think in the moment, I’m not thinking of feeling stressed, but just afterwards, then I’m like, “Oh my gosh, this has just been a wild day.” But yeah, you just have to kind of go with it. And that’s just the beast of middle school. I just added to the list of why we love it.

Eric Cross (05:53):

You said something about interdisciplinary work, and I wanna kind of ask about that. Because it sounds like you’ve had your hand in several different areas of science and grade levels. Working, doing design courses, working with tech. Are there certain lessons that are your favorites to teach? The ones that you really enjoy, or that no matter what, you’re like, “We need to do this; this is such a rich experience for students”?

Ryan Renee Rudkin (06:17):

Yeah. I definitely try to do lessons or activities along the way. I like to do projects at the end of my units. When I taught physics, we did a project and it was mainly an assessment tool called the Wheeling and Dealing. The kids, they would all get a different car. And then they to sell their car. And so they had to pretend to be a car salesman, and they did that with their knowledge of the physics unit. So everything we did on forces and speed and motion. So I like doing culminating projects like that. And you’re kind of tricking them into assessing them.

Eric Cross (06:57):

When I think about your car salesman project, I’m thinking of a bunch of students, but they’re like on Shark Tank, but they’re just littler versions. And they’re doing these sales pitches, but they’re speaking in scientific terms as they’re trying to do it. Do you record these or do they just exist in the classroom?

Ryan Renee Rudkin (07:12):

No…And that was a long time ago, when I taught eighth grade. I wish I had; I wish I had recorded. That was definitely—it was fun, ’cause the kids, they would get their little piece of paper and they—some of ’em didn’t know what car it was. And so they’re like “A Boo… A Boo-gatti? What’s a Boo-gatti?” And then someone from across the room would be like, “Ooh, I want it! Here, I’ll trade you my Ford Focus!” And <laugh> so they would kind of wheel-and-deal which car they would…and then once they got their choice, then they would do the project.

Eric Cross (07:44):

So they’re really embodying this persona of a car salesman. The wheeling and doing back-and-forth and trying to trade a Bugatti for a Ford Focus. <Laugh>

Ryan Renee Rudkin (07:53):

I know. <Laugh> I like to make my class, my learning environment, enjoyable. You know, I gotta be there; they gotta be there. So I know there’s other goals in mind—you know, standards and test scores—but at the end of the day, I wanna come back, and I want them to come back. And I just have that as a priority.

Eric Cross (08:18):

Well, based on the projects that you’re doing and the way that you approach education with students, I can see why middle-school students would want to come back, even if they had the option not to. Just because of the cool things that you’re doing. Now we’re on this—hopefully, fingers crossed—tail end of COVID in the classroom and schools, and I know it’s impacted all of us differently. Has student engagement changed since COVID and if so, how, and what have you done in these last two years to maybe adjust your approach, to continue that engagement and that richness that you provide for your kids?

Ryan Renee Rudkin (08:57):

I definitely—I think for me, I recognize that when the students are in my classroom, I want them to, I dunno, for lack of a better word, just escape the noise at home. And I know we’ve always had students that are going through divorce situations or their dog died, other things, but I think with COVID, it’s definitely been compounded. And just creating a safe place for the kids to want to be and…it’s hard. We’ve had a lot of students that have been out, absent, for various reasons and on quarantine. And they’re struggling with doing work from home, ’cause their parents are stressed and their parents are dealing with their work issues. And so I think just having grace for the kids and just keeping…I don’t know, I guess like I said, I’ve always had student engagement as top of my list.

Eric Cross (10:06):

It sounds like—the things I hear you say really have to do with who these students are as people.

Ryan Renee Rudkin (10:12):

Yeah.

Eric Cross (10:13):

And then as a second, who they are as students. How do relationships fit into your engagement? ‘Cause I’m hearing this connection that you seem to be making with kids as you’re talking about things that are beyond academics: their home life, how they’re impacted.

Ryan Renee Rudkin (10:28):

Yes.

Eric Cross (10:28):

Is there anything that you do to build these relationships, or to connect with your students, to make them feel wanted or feel connected to the classroom or to you?

Ryan Renee Rudkin (10:37):

Yeah, I do. I do a few things to build those connections. And again, this timeframe in their life is so out of their control, their peer relationships, relationships with their parents. And when they’re in my classroom, I want them to feel loved and appreciated. Something I do it’s called Phone Fridays. And in one of the social media groups, someone posted about it, and I’ve been doing it for over a year now, actually. So on Fridays I call parents and give good news. And so I’ll pick maybe one or two students. And it could be academic reasons. It could be behavior, I’ve seen a slight improvement of behavior. Maybe a role model in the classroom. And my goal is to get everybody every trimester. So everybody gets a phone call by the end of the trimester. And it’s funny ’cause sometimes the parents are a little like “Uh-oh”! When they pick up, they see the caller ID, and their school’s calling. ‘Cause Some kids don’t get good calls. So it’s a really—I would say every single parent that I’ve called, I usually get a follow-up email, either to me or my admin, just saying it’s such a cool idea I do this; thank you so much. And yeah, I just call and give good news and just put ’em on the spot. And usually the kids are a little embarrassed, but you can tell, even though they’re kind of—I think they’re faking it, that they’re embarrassed! ‘Cause You know that they got the Phone Friday, and everybody’s like, “Who’s gonna get the phone Friday?!” And so it’s a very big deal in my class.

Eric Cross (12:07):

What a great way to—I mean, it seems like that hits on so many levels. You’re making these positive calls home. You’re praising publicly, which a lot of times can happen where students can get criticized or redirected publicly and then praised privately, which is a lot of times the reverse what we should be doing. But here you are praising them publicly. And then you’re not only building a relationship with yourself, but you’re also connecting them with their parent or whoever is caring for them, because now when they go home, there’s this, “Hey, your teacher called; you’re doing awesome!” So it’s this kind of triangle that’s forming there. I think that’s super-cool and a great thing for teachers to do.

Ryan Renee Rudkin (12:45):

It takes, you know, the last five minutes of my class. I do it every class. And then I have a system. Like I said, I keep track of all the kids. That way, by the end of the trimester I’ve gotten everybody. Sometimes I let the students, whoever I call first, then I let them pick a peer and I tell them, “OK, we have to have a solid reason. Why are we calling?” And a couple times they’ll have a student, like one of my energized ones, they’ll raise their hand. “How About me? How about me?” And I and the kids kind of laugh a little and I said, “Well, how about this? Let’s make a goal. How about next week we’re gonna make a goal and we’re gonna have a reason to call home.” So just working on the kids that need a little push in the right direction. That’s other reasoning to it. But yeah, it’s fun. I love it.

Eric Cross (13:33):

And you have the community. You have this goal setting. We were talking a little earlier about this transition—so you’re becoming this…your school’s going through the IB process, is that right?

Ryan Renee Rudkin (13:44):

Yes.

Eric Cross (13:44):

And we were talking about the ATL skills and one of them is goal-setting management. You already kind of organically do this in your classroom, which is really neat. I know being an IB teacher, a lot of times I find the things that I’ve already been doing and find, “Oh, this is actually an approach to learning!” or “This is something that has a title!” I just thought it was just being helpful! Ah…So the kids are connected. You have this process where you’re calling parents; it’s working; students are involved, so it’s building this community. Now you’re engaging students. Do you have any favorite student engagement tools that you use in your classroom or when you’re teaching that you feel like you get a lot of bang for your buck? There’s so many things out there these days. And so many approaches, tools, web apps. Do you have any favorites that you use?

Ryan Renee Rudkin (14:40):

No. Nothing comes up top of my mind right now. Mostly just projects, like I said. And being excited. I think having my students see me excited about something…and I’m honest when we’re doing something that’s not quite my favorite, then I’m honest about that too. But just having my—like, we just started thermal energy this week and I told my students, I said, “OK guys, I’m gonna weave in some chemistry in there. I’m gonna weave in some particle motion,” and they’re like, “Oh! That’s when you taught eighth grade, huh!” Cause I talk a lot about when I taught eighth grade before. I don’t know, just showing my own enthusiasm, I think, is a good payoff to me. That’s a bang for your buck. Other things…I try to give ’em cool videos and Mark Grober, he’s definitely a favorite of mine I like to show my students. I like to bring in guest speakers from our community. When I taught eighth grade for physics, I always brought in a local CHP officer and they would bring in the radar and lidar guns and the kids would mark off the parking lot and they would calculate their speed. And then they would verify it with the radar gun. Two years ago when I taught math, I brought in a local landscaper company, a father-and-son outfit, and they showed the kids how they would do bids on jobs. And so, relate it to our chapter on volume and area. So just making that connection with real life. Plus it’s just a nice opportunity, too, for the community to come in. With our design class, put on our newscast. And then one of our units in our sixth grade curriculum is weather. And so I brought in a local weatheruh, chief meteorologist. And he actually talked to the students about his job as a meteorologist and then also being on the news and putting on a newscast. So we got him on our green screen and did a little like Mark Finan, you know, little cameo on our newscast for the week for school. So that was kind of cool.

Eric Cross (16:45):

They must have been excited.

Ryan Renee Rudkin (16:47):

Yeah. They’re pretty starstruck by him. So that was pretty fun.

Eric Cross (16:51):

This person was on their local news? So they would know him?

Ryan Renee Rudkin (16:56):

Yeah, he’s on Channel 3 out of Sacramento. Yeah. KCRA Channel 3, Mark Finan.

Eric Cross (17:00):

So all these guest speakers that you have…how do you reach out to these people? And you sound like you get a lot of success. Do you ever get nos? Like if I’m sitting here listening and that inspires me, but you’re getting celebrities and you see a few people…like, how do you reach out to them? And does everybody say yes? How does it go?

Ryan Renee Rudkin (17:21):

Well, usually at my back-to-school night, I always ask the parents if they have a career or hobby that could lend itself to the curriculum. And so sometimes I’ll hear about—students will talk about, like, “My mom’s a doctor.” And so I’ll reach out to parents and just say, “Hey, you know, your kiddo said, you’re a doctor. May I ask what type?” And most of the time the nos that I’ve received are just because of schedule conflicts. You just have to get creative! Look in your community and see what you have. People want to come and talk to kids. I’ve had some presentations that the person is so intelligent and amazing, but they just, weren’t very kid-friendly. I mean, that happens. Butsomeone knows someone. And just ask! I mean, it doesn’t hurt to ask to have ’em come out, come hang out for the day, with my students. Andone time I had a nurse practitioner she was in the cardiac unit. And so she brought in hearts and led a heart dissection with my students. And we did a station set-up. I’ve had elaborate ones like that, or just a mom come in to tell my students about her job as a nutritionist and relate it to our unit on metabolism. And so just did like a little 15-minute Q&A with the kids on nutrition. And I would just say, look at your community and/or post on social media. I always do that. Post in your school’s PTA groups. So the parents know someone, that’s for sure. Or someone’s retired. One time I had—I think he was a grandfather of one of the kids—he was into rocks. And he had a bunch of meteorites <laugh> and brought in his meteorites.

Eric Cross (19:15):

Bring in your rocks!

Ryan Renee Rudkin (19:15):

I know! Right? And he <laugh> just brought in his meteorite collection! I was like, sure, come on in!

Eric Cross (19:23):

That’s one of the things I love about being a middle-school teacher is that my students have such varied interests and I’ll get the Rock Kid every once in a while and he’ll come in and he’ll have all these rocks and crystals. And a lot of times there’s a grandfather that’s responsible for this inherited geologic treasure that they have.

Ryan Renee Rudkin (19:45):

Yeah, something like that—I mean rocks are not my favorites, but I don’t really tell the kids that. I was like, “Sure, yeah, come on in! We can have a whole-day lesson on rocks!”

Eric Cross (19:55):

<Weakly> “This is great!”

Ryan Renee Rudkin (19:58):

Just utilizing your resources. That’s all it’s about.

Eric Cross (20:02):

Well, I think the back-to-school night was really helpful. That’s something that’s super doable. You have a bunch of parents and you just simply ask, “Who do you know? What do you do?” And then just collecting that and then just asking people to come in. I’ve I’ve been reluctant to do it more often than I’ve wanted to, because I haven’t figured out—and maybe you can help me with this—I have three class periods a day plus other class periods that are not necessarily science. And I don’t want to dominate a person’s schedule. Do they tend to be willing to stay all day? Or do you do, one class gets it, and you record it? Like, how do you balance out the speakers with your school schedule?

Ryan Renee Rudkin (20:39):

Mostly they’ll they’ll just come for the whole day. When I taught eighth grade, I had five classes, so that was easy. That was an all-day thing. And then usually I’ll offer to call lunch, have lunch delivered, or snacks during the day. I mean—

Eric Cross (20:53):

Feeding them is key.

Ryan Renee Rudkin (20:54):

Yeah. Just something kind of nice. Donuts in the morning. I mean, you’d be very surprised. Most people that are in the field or retired, like I said, they’re more than willing to come. And even if they have to wait an hour, while you teach another class that doesn’t pertain to it, then they’ll either leave or come back or just hang out in the back and pretend to be a student during that history class that you have.

Eric Cross (21:20):

It’s my own limiting belief where I feel guilty. I don’t think about it. I need to think about it through the perspective that you do, that these people WANT to talk. I just assume everybody’s so busy. But I do know, the times I’ve had speakers come out, at the end of the day, they’re so energized or they’re so happy or they’re so grateful. ‘Cause They’re like, “This is what it’s like to teach every day?” I’m like, “Yeah, this is what it’s like.”

Ryan Renee Rudkin (21:42):

I think too, a lot of parents…usually being being in the stops at elementary. A Lot of parents don’t get the opportunity to come help out in the classroom, because the middle school kids, you know, it’s not very cool or it’s just not needed like in the elementary classes. So a lot of times, like I said, you’d be surprised. A lot of the parents they’re more than happy to come and hang out. And again, some students, they don’t want their mom or dad to be there, but then I talk it up. I’m like, “Everyone’s gonna be so like impressed that your dad’s a doctor,” or “your mom’s a doctor” or —so then I kind of like downplay it. Like, “Oh, whatever, you’re you’re faking it. It’ll be fine. Don’t be embarrassed.” Leading up to their parent coming into the classroom.

Eric Cross (22:36):

Right. Kind of redirect that energy toward something positive. With guest speakers, projects, pacing, all these awesome things that you have going on, how do you find balance as a teacher, as a person? And what encouragement would you give to new or aspiring teachers? We work in a profession that will take as much as you give it. And you fall asleep at night worrying about other people’s kids and we love it. And teachers by personality can just give and give and give and give. But in order for us to last—I’m thinking about those new teachers who are going into it, who are gonna go in and be there before the sun gets up and stay after the sun gets down. How do you maintain balance, taking care of yourself? You’ve been in education for—how long have you been teaching for?

Ryan Renee Rudkin (23:29):

Sixteen. This is my 16th year.

Eric Cross (23:31):

Enough to be that veteran. So how do you find balance? And then, what encouragement would you give to new or aspiring teachers?

Ryan Renee Rudkin (23:39):

I would say each year, pick one or two things to add on. You can’t add on 10 things, even though you’re gonna find 10 things that are awesome. But just make a little list, put ’em in a file, and every year, just get good at what you do and then just add on one or two things. And reflect on what’s not going well that you can get rid of to make room to add something else. Try to be patient with yourself. And don’t reinvent the wheel. There’s so many things out there that you can borrow and make it your own. Again, I think that’s a time-saver, just leaning on your colleagues. And take lots of notes, because then when you do it again next year, you can refresh yourself and, “Oh yeah, this lesson, wasn’t the best…” What can you add in to make it a little bit better? And yeah, I would say just take on one or two things each year. And then by the time you get to, you know, being a veteran, you can do all these awesome things and it’ll feel natural ’cause you’ve been practicing and just adding in one thing at a time. I coached Science Olympiad a bunch of years ago, and Science Olympiad is so rewarding. It’s just so amazing.

Eric Cross (24:59):

What is Science Olympiad, for the people who’ve never heard of it?

Ryan Renee Rudkin (25:03):

Oh, Science Olympiad is so awesome. Google it. I think it’s just ScienceOlympiad.org. It’s 23 different events across all disciplines of science, different topics. And then you have a team of 15 students. And so your 15 students have to cover the 23 events. So for example, if the student’s on the anatomy team, usually there’s a team of two kids they’re gonna study and learn. They provide all the rules and the guidelines. So the students learn and study whatever the parameters are for that year. And then they take a test. And then they compete against other schools. And there’s build events, the engineering events, they can build things like trebuchets matchbox cars or mousetrap cars. Oh gosh, there’s all kinds of things. There’s like a Rube Goldberg device. It changes every year. And it’s so rewarding to see the kids; they pick their area of science that they love. And sometimes you have to put them on an event that they don’t know, and then they end up loving it. It’s so rewarding as a teacher to see these kids that are just on fire and you know that one day they’re gonna go off and do amazing things. They just commit. They commit to their event. And then they blow it outta the water and they win medals and just the recognition…it’s super, it’s just an amazing program.

Eric Cross (26:42):

One of the competitions that’s really low-tech that I’ve taken into my classroom is Write It, Do It. Have you done that one before?

Ryan Renee Rudkin (26:50):

Oh, yes. Yeah. That’s one. Yep.

Eric Cross (26:52):

It’s such a low-tech, simple one to do, but it teaches such great skills. And for those people who haven’t heard of the Write It, Do It project, you create kinda some abstract art out of random crafts. That’s very difficult to describe. You have pipe cleaners and foam and balls and you know, all these different things. And you make it. And then one person on the team is the writer, and they look at it and they write the procedures, and then their teammate, who’s in a different room and doesn’t get to see it, gets all the materials to build it and the procedures, and they have to rebuild it as closely as possible to the actual original. Even though they don’t get to see the original. So they have to rely on their partner’s ability to write procedures step-by-step. And it was fun to watch my students become teammates in that. And they learned how to communicate in a really fun competition. So I expanded it to do it with all of my students as an activity, just to teach them how write descriptively, to write procedurally, to be technical writers. And it’s, it’s fun! It’s fun to see what they build based on what the students say. <Laugh> And it’s also fun to watch them interact with each other, which for seventh graders, usually it’s conflict. <Laugh> But, like, playful conflict. <Laugh> It’s pretty funny to see what they build.

Ryan Renee Rudkin (28:11):

They’re like, “Man, what are you talking about? That doesn’t mean this; it means this!”

Eric Cross (28:16):

<Laugh> I know part of me feels guilty, but not enough to stop the project. ‘Cause I know for some of ’em, it’s gonna be a really trial by fire being able to practice their skills with writing procedures.

Ryan Renee Rudkin (28:27):

But they’re learning among themselves how to provide more details and to be more thorough with their writing and and their thoughts, put their thoughts onto paper. So yeah, that’s a funny event. Definitely.

Eric Cross (28:41):

Earlier you had mentioned something about connecting your kids with kids and students outside of your classroom. What is it that you do with that? Because I thought that was a really cool project. Can you speak to that a little bit?

Ryan Renee Rudkin (28:57):

Yes, I’ve done—they haven’t had it in a few years, but there’s something called the Pringles Challenge. And if you Google that, I’m sure it’s on the Internet still. So you sign your class up, or your classes, and you get partnered with another school somewhere in the U.S., someplace else. And you decide individually teams, whatever they build. And they make a package to ship a single Pringle chip through the mail. And then you actually mail a Pringle chip through the mail. And then your partner team or partner school, they send their chips to you and then you open everything and then you can take pictures and video. And then there was a whole scoring process where you would score when you receive the chips. And then you input all the data on the website so you can see like how your—and most schools would trade pictures, so that the kids found out how their chip survived. March Mammal Madness is so much fun. Again, Google that.

Eric Cross (30:01):

Did you say March Mammal Madness?

Ryan Renee Rudkin (30:02):

Yes.

Eric Cross (30:03):

Like March Madness, with mammals?

Ryan Renee Rudkin (30:05):

Yes.

Eric Cross (30:05):

  1. What is this?

Ryan Renee Rudkin (30:06):

It starts up in March. And you can sign your students up. And that one—it’s not too interactive with other schools, but this is opportunity to get the kids interacting within your site or within your district. Or if you have teacher friends at other schools. There’s like 60…I think it’s 64 animals? And they have this massive bracket that they post. And then you can have the students, I did it—it would be very time-consuming to have the kids individually research each animal. So I just gave one animal per student and so as a class we researched all the animals and then, I think it’s every three days or so, they have these bouts. And it’s all posted on YouTube. Google it. It’s kind of fun.

Eric Cross (30:56):

I’ve already got the website up, ready to go! Folks, everybody who needs to Google this: <articulates carefully> March Mammal Madness. And is it Arizona State University? Is that the main site, ASU?

Ryan Renee Rudkin (31:04):

Yes.

Eric Cross (31:04):

So people, listen to this. Check it out. March Mammal Madness. Look, I’m doing this! I’m already,—you’ve already sold me on this.

Ryan Renee Rudkin (31:14):

It is so much fun, oh my gosh. And then, then the kids—each round, they pick their pick, just like basketball. They do their picks and then you wait for the video. And they do it live on—I think it’s live on Instagram, or the next day on YouTube. And then the kids get all excited. And then usually the kids, whatever animal they got as their research animal, they’re rooting for that one to win, the whole thing.

Eric Cross (31:42):

But we still have time; we still have time to—

Ryan Renee Rudkin (31:45):

You can jump in anytime. Even if it’s already started, you can jump into it. It usually lasts—I believe it’s a two-week from beginning to end. When they do the first round, the wild card, and then all the way to the winner, I believe it’s a two-week process. Oh, maybe three, actually.

Eric Cross (31:59):

I’m already seeing this lead-up to the video being watched in class to see…I’m already thinking about like, “How do I prevent my students from finding the video?” Or like, “When does it go live so that I could be the one to show them so they didn’t go find it early?”

Ryan Renee Rudkin (32:13):

It takes time out of the class, but I believe it’s one of those things where you have to just…it takes 10 minutes out of the class, but it’s important. So when they each round and then the next day, they release the YouTube video. Last year, when it got down to the final round, we were on spring break. And so I told my students, “You guys, let’s do some optional Zooms. And so I had a bunch of kids log on and we all watched the videos together. So that was kind of fun. And then this year, the other thing, the first time I’ve ever done this and it’s going really well is—on social media, I was talking with one of the teachers from Ohio who teaches science and she and I decided we’re gonna do penpals for our students this year. Paper-And-Pen penpals. So that’s been a lot of fun. We just partnered up all the students, her students and my students, and once a month we send and receive the letters to each other. So that’s been a really cool experience.

Eric Cross (33:14):

If you keep doing that, and you need more teachers to be involved, can my students be penpals with your students?

Ryan Renee Rudkin (33:20):

Yeah!

Eric Cross (33:20):

If you open it up to more people? I think that, to get a letter, old-school? Letter in the mail? It would be so exciting.

Ryan Renee Rudkin (33:28):

It is. We mail them, the teacher and I, we just put them all together in one package. But yeah, it’s an actual handwritten letter.

Eric Cross (33:37):

The only letters I feel like I get in the mail now are bills.

Ryan Renee Rudkin (33:42):

Right? Exactly.

Eric Cross (33:42):

But I feel like the digital version of that is if someone calls me, it’s probably bad news. I don’t know if I’m the only one that’s like that, but I’m like, “Who’s calling me? Why aren’t you texting me? What’s going on? Text me first, then call! I need to know who’s going on, and if you’re unknown, you’re going to voicemail.

Ryan Renee Rudkin (34:00):

Exactly. The penpals has been a lot of fun.

Eric Cross (34:03):

You’ve been in education for a while. You’re on the other side of what it’s like to be a student in the classroom. Which can be surreal in itself, when we think about our own experiences as being a student. Is there a teacher or a learning experience that’s had an impact on you while you were a student in school that really stands out to you? And you can interpret the question however you want. But is there someone that’s memorable or an experience that’s memorable that you still carry with you today?

Ryan Renee Rudkin (34:32):

Definitely. My favorite teacher, and we actually still keep in contact on social media is Mrs. Sheldon. She was my fifth and sixth grade teacher. I had the pleasure when I was in elementary school, I was in an all-day contained GATE class—Gifted and Talented Education class. I vividly remember doing so many amazing projects. We built this big, giant—she brought in a big ol’, like, TV box. It was big, big, big. And you could stick like three kids inside there, standing up shoulder-to-shoulder. And we built this big dragon. The head, and we had the whole rest of the class in a big sheet behind us, and we would do a little parade around the school. And she had that thing for years after. They had to repair it every year, and they would do the little parade around school. She did a lot of traveling and when we would go on vacation and then come back, that was always the big deal: “Where did Mrs Sheldon go?” And she had sand from Egypt and pictures from the rainforest. And later when I became a teacher and then I looked her up and we reconnected I did ask her, “Did you go to those places? Or did you, like, lie about it? <Laugh> To get us engaged?

Eric Cross (35:52):

You went for the real questions!

Ryan Renee Rudkin (35:54):

I did. And she laughed and thought that was funny. And she did travel for real. But yeah, she’s an amazing woman. We still keep in contact. And I remember, you know, little things…like we would be out there doing our PE time and she’d have her long skirt, you know, dress on, with her tennies, and she’s out there playing kickball with us. Just a very kindhearted, smart, amazing woman. I’m very fortunate and I’m grateful that we are able to keep in contact. Love social media for that reason. So.

Eric Cross (36:33):

Yeah. And that’s Miss Sheldon?

Ryan Renee Rudkin (36:35):

Mrs. Sheldon. Marlene Sheldon. Yeah.

Eric Cross (36:37):

Shout-Out to Marlene Sheldon influencing the next generation of teachers, with engagement with your world travels and all those different things.

Eric Cross (37:04):

Ryan, thank you so much for one, serving our students. And in the classroom, our middle-school students who need us. I think that middle school especially, elementary school, those years are when students are really starting to decide, “What am I good at?” And the experiences that we create for our students really shape what they believe they can do. These really cool, engaging experiences, these projects that you’re giving them, whether they’re doing these car sales, Shark Tanks, or they’re doing penpals, or you have guest speakers, or they’re designing planets. These are things that students don’t forget. And then when they move on to higher grades, they remember more than anything, I think, how they felt about something. And it sounds like you’re crafting these awesome experiences. And so I just wanna thank you for your time. I know as a teacher it’s very short. And I thank you for being on the podcast with us.

Ryan Renee Rudkin (38:04):

Thank you. This has been a great experience. I just—I really enjoy my students. And I feel very, very grateful and very blessed for finding where I belong.

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What Ryan Rudkin says about science

“I like to make my class and my learning environment enjoyable. I know there’s other goals in mind… but at the end of the day, I want to come back and I want [students] to come back. It’s so rewarding as a teacher to see these kids that are just on fire… and you know that one day they’re going to go off and do amazing things. ”

– Ryan Renee Rudkin

Middle school science teacher

Meet the guest

Ryan Rudkin is a middle school science educator near Sacremento, California. Although she originally thought she would teach elementary students, Ryan connected with middle school and never looked back. Now in her 16th year in the classroom, Ryan also supports teachers in her district with professional development. Ryan’s favorite part of teaching science is seeing students grapple with concepts and explore phenomena.

A woman with shoulder-length blonde hair smiles at the camera, wearing earrings and a dark top. The background is blurred green and gray.

About Science Connections: The podcast

Welcome to Science Connections: The Podcast! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.

S5.E6. Why skepticism is essential to the Science of Reading, with Dr. Claude Goldenberg

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Families and caregivers, welcome to Amplify Desmos Math Texas K–5!

Welcome to the Amplify Desmos Math Texas K–5 Caregiver Hub. We’re here to support your student as they explore math, work with friends to solve problems, and learn new and interesting concepts—and to support you as you go on this math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math Texas.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Unit Caregiver Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Beginning Number Concepts

Unit 2: Numbers 1–10

Unit 3: Shapes, Coins, and Financial Literacy

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Story Problems Within 10

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99 and Financial Literacy

Unit 5: Adding Within 120

Unit 6: Length Measurement Within 120 Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Developing Financial Literacy

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring and Solving Problems Using Length

Unit 4: Numbers to 1,200

Unit 5: Geometry and Time

Unit 6: Adding and Subracting Within 1,000

Unit 7: Equal Groups and Area

Unit 1: Introducing Multiplication

Unit 2: Adding, Subtracting, and Rounding Larger Numbers

Unit 3: Relating Multiplication to Division

Unit 4: Fractions as Numbers

Unit 5: Measurement and Financial Literacy

Unit 6: Sorting and Classifying Shapes

Unit 1: Fraction Equivalence and Comparison

Unit 2: Extending Operations to Fractions

Unit 3: From Hundredths to One Billion

Unit 4: Mathematical Relationships and Financial Literacy

Unit 5: Multiplying and Dividing Multi-Digit Numbers

Unit 6: Angles and Properties of Shapes

Unit 1: Volume, Factors, and Expresssions

Unit 2: Multiplying and Dividing Fractions

Unit 3: Multi-Digit Multiplication and Division and Financial Literacy

Unit 4: Place Value Patterns and Decimal Operations

Unit 5: Measurement, Fraction Operations, and Data

Unit 6: Geometry and Algebraic Reasoning

Sub-Unit Summaries

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Select the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math Texas supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math Texas classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math Texas lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math Texas offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Try out the following Center games with your student!

Each unit in Amplify Desmos Math begins with a Read-Aloud to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process—a necessary and beneficial part of learning. Many students (and adults) fear making mistakes, but research shows that mistakes help our brains grow! When your student gets stuck on a problem, encourage them to keep trying different strategies even if they’re not sure they’re right.

1. Service Overview

As a provider of technology solutions to schools, Amplify’s commitment to data privacy and security is essential to our organization. This overview of Amplify’s Information Security Program describes physical, technical and administrative safeguards Amplify implements to protect student data in our care.

Company profile

Amplify Education, Inc. (Amplify) is a privately held company founded in 2000 as Wireless Generation. Amplify’s products include curriculum and instruction, assessment and intervention, professional development services and consulting services for K-12 education.

Service hosting

Amplify leverages Amazon Web Services (AWS) as its cloud hosting provider. Within AWS, Amplify utilizes Virtual Private Clouds (VPCs), which provide an isolated cloud environment within the AWS infrastructure. External network traffic to a VPC is managed via gateway and firewall rules, which are maintained in source code control to ensure that the configuration remains in compliance with Amplify security policy. In addition, the production VPCs and the development VPCs are isolated from each other and maintained in separate AWS accounts.

2. Policies & standards

Information security program

Amplify maintains a comprehensive information security program based on the National Institute of Standards and Technology (NIST) Cybersecurity Framework and the NIST SP 800-53 Rev. 5 family of information security controls. These provide a robust framework of best practices from which an organization can build its security policies and protocols based on identified risks, compliance requirements, and business needs. They cover critical practice areas, including access control, configuration management, incident response, security training, and other information security domains.

Governance

Amplify’s Information Security Committee has primary responsibility for the development, maintenance, and implementation of the Amplify information security program. The Information Security Committee is responsible for all information risk management activities within the company and is composed of technology, business and legal leaders from the organization. The Committee meets weekly and includes a dedicated VP of Information Security and a program manager to oversee, direct and coordinate its activities.

Policy execution

Adherence to the internal Amplify information security policy is an obligation of every Amplify employee. Amplify conducts a series of internal monitoring procedures to verify compliance with internal information security policies, and all Amplify employees undergo annual criminal background checks. In addition, any third-party contractors who come into contact with systems that may contain student data are contractually bound to maintain security and privacy of the data.

3. Data access controls

Access control

Amplify’s access control principles dictate that all student data we store on behalf of customers is only accessible to district-authorized users and to a limited set of internal Amplify users who may only access the data for purposes authorized by the district. Districts maintain control over their internal users and may grant or revoke access.

In limited circumstances and strictly for the purposes of supporting school districts and maintaining the functionality of systems, certain Amplify users may access Amplify systems with student data. All such access to student data by Amplify technicians or customer support requires both authentication and authorization to view the information.

Encryption

Data encryption is an important element of our protection of sensitive data at rest and in transit, and is reviewed and updated as appropriate annually, based on the latest standards and guidelines published by OWASP and NIST.

  • In transit: Amplify encrypts all student data in transit over public connections, using Transport Layer Security (TLS), commonly known as SSL, using industry-standard protocols, ciphers, algorithms, and key sizes.
  • At rest: Amplify encrypts student data at rest using the industry-standard AES-256 encryption algorithm.

4. Application security by design

Building the right roles into applications

Permissions within Amplify applications are designed on the principle that school districts control access to all student data. To facilitate this, Amplify applications are designed so that roles and permissions flow from the district to the individual user. For example, applications that offer schools a way to collect and report on assessment results have a web interface that requires district administrators to authorize individuals to view student data.

Security controls within applications are used to ensure that the desired privacy protections are technically enforced within the system. For example, if a principal is supposed to see only the data related to his or her school, Amplify ensures that, throughout the design and development process, our products restrict principals from seeing records for any students outside his or her school.

To make sure Amplify applications properly enforce permissions and roles, our development teams conduct reviews early in the design process to ensure roles and permissions are an essential component of the design of new applications.

Building security controls into applications

Amplify applications are also developed to minimize security vulnerabilities and ensure industry-standard application security controls are in place.

As part of the development process, Amplify has a set of application security standards that all applications handling student data are required to follow, including:

  • Student data is secured using industry standard encryption when in transit between end-users and Amplify systems.
  • Applications are built with password brute-force attack prevention.
  • User sessions expire after a fixed period of time.

We also conduct manual and automated static code analysis as well as dynamic application security testing to preemptively identify vulnerabilities published by industry leaders such as OWASP (Open Web Application Security Project)

5. Proactive security

Risk assessments

Amplify periodically engages a security consulting firm to conduct risk assessments, aimed at identifying and prioritizing security vulnerabilities. The Information Security Committee coordinates remediation of the vulnerabilities. The security consulting firm also provides ongoing advice on current risks and advises on remediation of vulnerabilities and incident response.

Penetration testing

Amplify engages third-party firms to continually conduct application penetration testing.  The purpose of this testing is to test for application security vulnerabilities in the production environment.  We work with third party penetration testing program partners. Third-party testing involves a combination of automated and manual testing.

Vulnerability management

Amplify ensures that its systems are free of known vulnerabilities in several ways. Every production server runs vulnerability detection software that compares the installed software against a global database of known vulnerabilities. Secondly, we employ real time network monitoring that reports on any potentially malicious traffic. In addition, a third-party security firm continually reviews all of our system logs for potential security breaches. Lastly we continually test our applications against common malicious internet traffic. Violations in any of these areas will alert one of our operations teams, who are available around the clock.

In addition, Amplify participates in a private bug bounty program through HackerOne, working with the security community to find security vulnerabilities and support our efforts to keep our data and systems safe and secure.

Endpoint security

Access to production systems at Amplify is restricted to a limited set of internal Amplify users to support technical infrastructure, troubleshoot customer issues, or other purposes authorized by the district. In addition, Amplify requires multi-factor (MFA) authentication methods for access to all production systems. MFA involves a combination of something only the user knows and something only the user can access. For example, MFA for administrative access could involve entering a password as well as entering a one-time passcode sent via text message to the administrator’s mobile phone. The use of MFA reduces the possibility that an unauthorized individual could use a compromised password to access a system.

Infrastructure security

Network filtering technologies are used to ensure that production environments with student data are properly segmented from the rest of the network. Production environments only have limited external access to enable customers to use our web interfaces and other services. In addition, Amplify uses firewalls to ensure that development servers have no access to production environments.

Other measures that Amplify takes to secure its operational environment include system monitoring to detect anomalous activity that could indicate potential attacks and breaches.

Security training

At Amplify, we believe that protecting student data is the responsibility of all employees. We implemented a comprehensive information security awareness training program that all employees  undergo upon initial hire, with an annual refresher training. We also provide information security training and annual social engineering tests for specific departments based on role.

6. Reactive security

Monitoring

Intrusion detection and prevention systems (IDS/IPS) are in place to analyze the network device logs, monitor the network and report anomalous activity for appropriate resolution.

Incident response

Amplify maintains a comprehensive Security Incident Response Policy Plan, which sets out roles, responsibilities and procedures for reporting, investigation, containment, remediation and notification of security incidents. Amplify works with reputable firms for incident response and digital forensics support, as well as annual table-top exercises in coordination with cybersecurity experts.

Business Continuity Planning and Disaster Recovery

Amplify maintains a comprehensive Business Continuity Planning and Disaster Recovery Plan (BCP/DR), to guide personnel in procedures to protect against business disruptions caused by an unexpected event. The plans and related operations processes are tested on a semiannual basis, with ensuing operations improvement and remediation work.

7. Compliance

Audits

In addition to penetration testing and other proactive security testing and monitoring outlined above, Amplify undergoes annual SOC 2 Type 2 examinations of controls relevant to security. The examination is formally known as a Type 2 Independent Service Auditor’s Report on Controls Relevant to Security. The most recent examination was conducted by Schellman & Company, LLC and covers the period from April 1, 2024–March 31, 2025. The report states that Amplify’s systems meet the criteria for the security principle and opine on management’s description of the organization’s system and the suitability of the design of controls to protect against unauthorized access, use, or modification.

The Type 2 report also opines on the operating effectiveness of controls over the review period. This means that our auditors confirmed that we have continued to follow established security controls over the period of time of the review.

Certifications

SOC 2: Amplify successfully completed the SOC 2 Type 2 examination of controls relevant to security (see above, under “Audits”).

Privacy

Amplify’s products are built to facilitate district compliance with applicable data privacy laws, including FERPA and state laws related to the collection, access and review and disclosure of student data. Amplify’s Customer Privacy Policy describes the types of information collected and maintained on behalf of our school district customers and limitations on use and sharing of that data.

8. Supporting documentation

In the course of customer security assessment, the following documentation can be provided by Amplify upon customers’ request:

  • Penetration Testing Report
  • Risk Assessment Report
  • SOC 2 Type 2 Report

9. Report a vulnerability

To report a security vulnerability, click here.

NO PURCHASE NECESSARY. A PURCHASE DOES NOT INCREASE YOUR CHANCES OF WINNING. VOID WHERE RESTRICTED OR PROHIBITED BY LAW.

These Terms and Conditions (the “T&Cs”) apply to each sweepstakes offered by Amplify Education, Inc. (the “Sponsor”) on a webpage, email, or other document that links to these T&Cs (the “Entry Page”). For detailed rules for each sweepstakes, please review the sweepstakes rules on the Entry Page (such rules, the “Sweepstakes Rules”). These Terms and Conditions, together with the Sweepstakes Rules, will comprise the “Official Rules” for the sweepstakes.

To enter

Fill out the entry form on the Entry Page. Limit of one (1) entry per person using only one (1) email address for each drawing conducted during the sweepstakes period. Eligibility of individual entries will be at the sole discretion of the Sponsor, for any reason or for no reason, though specific reasons for disqualification may include use of inappropriate language. Entries generated by script, macro, mechanical or other automated means and entries by any means which subvert the entry process are void. Multiple entries received from any person in excess of the stated limitation will be void. Sponsor is not responsible for incomplete, lost, late, stolen, misdirected, damaged, illegible entries, for address changes of entrants, or for malfunctions of electronic or telephone equipment, computer hardware or software, failure of any entry to be received on account of technical problems or traffic congestion on the Internet, or any combination thereof, including any injury or damage to any entrant’s or any other person’s computer or other property related to or resulting from participation in the sweepstakes, or for other problems related to electronic entries. All entries become the property of Sponsor and will not be returned.

Eligibility

In addition to any eligibility restrictions contained in the Sweepstakes Rules, each sweepstakes is open only to individual legal residents of the states of the United States or the District of Columbia, except for residents of Rhode Island, who are at least 13 years of age or older as of the time of entry.

  • Minors – Parents and Guardians: An eligible person under the age of majority in such person’s jurisdiction must have his/her parent’s or legal guardian’s consent to enter this sweepstakes. The parent(s) or legal guardian(s) of an entrant under the legal age of majority in his/her jurisdiction of residence (a) will ensure that the entrant in respect of whom they agree to the Official Rules will comply with the Official Rules; and (b) warrants that he/she agrees to the Official Rules and gives the consents contained herein, including permission for his/her child/ward to participate in this sweepstakes. The parents(s) or legal guardian(s) of each such entrant agrees to indemnify the Released Parties (as defined below) for and against: (i) any claims made by the entrant, his or her legal guardian(s), or any member of his or her family against the Released Parties in connection with this sweepstakes; and (ii) any losses (including any liability) caused by any conduct of the entrant that is inconsistent with the Official Rules.
  • Teachers/School Personnel: By entering this sweepstakes, you represent and warrant that your participation in this sweepstakes complies with your school, institution, school board and school district policies. Any entry submitted in violation of such policies may result in disqualification. Verification: Amplify reserves the right to verify an individual’s eligibility, compliance with applicable policies in the case of teachers and school personnel and, if applicable, a parent’s or legal guardian’s consent to enter the sweepstakes by requesting proof of identity, compliance, or eligibility in the form acceptable to Amplify. Failure to provide such proof may result in disqualification, such that entrant will no longer be eligible to participate in the sweepstakes and will have no recourse or other opportunity to submit an entry.
  • Entrant: In the event of a dispute regarding any entry, the entry will be deemed made by the authorized account holder of the e-mail address submitted at the time of entry (i.e., the natural person who is assigned to an email address by an Internet access provider, online service provider or other organization responsible for assigning email addresses for the domain associated with the submitted e-mail address).
  • Ineligibility: Employees of Amplify, its advertising and promotion agencies, its contest administration agents, and each of Amplify’s and such agencies’ respective parent companies, subsidiaries and affiliates (all of the foregoing, the “Sweepstakes Entities”), and such employees’ immediate family and household members, are not eligible.

Drawing

Winners will be selected on the date(s) specified in the Sweepstakes Rules (the “Drawing Dates”). Each winner be selected in a random drawing, from all eligible entries received since the beginning of the sweepstakes period or the prior Drawing Date, as applicable. Winner does not need to be present to win. The drawing(s) will be conducted by Sponsor or its designee, the judge of the sweepstakes, whose decisions are final and binding on all matters relating to the sweepstakes. Winner will be required to sign and return an affidavit of eligibility/liability and publicity release, or the prize will be forfeited and an alternate winner selected.

Prize and odds of winning

The Prizes and number to be awarded are specified in the Sweepstakes Rules. Odds of winning depend on the number of eligible entries received. Prizes will be awarded. No prize substitutions, upgrades or cash equivalents, except at the sole discretion of the Sponsor if an advertised prize becomes unavailable. Prizes are non-transferable. All taxes, if any, associated with the prize are the winner’s sole responsibility.

General

By entering, entrants agree to: (1) release the Sponsor, its agents, and any platforms used to conduct the sweepstakes, such as Facebook, Twitter, or others (each, a “Platform” and together with Sponsor and its agents, the “Released Parties”), from all liability, injuries, loss and/or damage of any kind arising from their participation in the sweepstakes and the acceptance, possession and use/misuse of any prize; (2) to be bound by the Official Rules and the decisions of the judge; and (3) to be contacted by Sponsor by mail, telephone and/or email regarding the sweepstakes. The sweepstakes is in no way sponsored, endorsed or administered by, or associated with, any Platforms used to promote it. By accepting a prize, winner consents to the use of his/her name and likeness for advertising and promotional purposes without additional compensation in all media worldwide (except where prohibited by law). The sweepstakes is subject to all applicable federal, state and local laws and regulations. If for any reason the sweepstakes is not capable of running as planned, including due to an infection by computer virus, bugs, tampering, unauthorized intervention, fraud, technical failures, or any other causes which corrupt or affect the administration, security, fairness, integrity, or proper conduct of this sweepstakes, Sponsor and its agents reserve the right, at their sole discretion, to modify, suspend or terminate the sweepstakes, and select the winner from all eligible entries received prior to the termination and/or to disqualify any individual who is responsible or who tampers with the entry process. This sweepstakes is governed by the laws of the State of New York, with venue in New York County, New York, and all claims must be resolved in the state or federal courts in New York County, New York.

Removal for future mailings

To have your name and address removed from Sponsor’s future mailings, please select the unsubscribe link in any email you receive from Sponsor. Sponsor will process your request within 60 days.

Winner’s name

For the name of the winner, email mail@amplify.com or send a stamped, self-addressed envelope to be postmarked within 15 days and received within 30 days of the relevant Drawing Date to: Amplify, Marketing Department, Winner’s Name, 55 Washington Street, Suite 800, Brooklyn, NY 11201.

Sponsor

Amplify Education, Inc., 55 Washington Street, Suite 800, Brooklyn, New York 11201.

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasAmplify Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasAmplify Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasAmplify Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volumes of ConesUnit 5
Lesson 13: Cones

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple EquationsWorking Backwards
Lesson 1.3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.5: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear FunctionsShelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept FormFive Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 4.5: Analyzing Lines of FitPenguin Populations
Behind the Headlines
City Data
Residual Fruit
Lesson 4.6: Arithmetic SequencesMore Visual Patterns
Sequence Carnival
Lesson 4.7: Piecewise FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.7: Systems of Linear InequalitiesQuilts
Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6: Geometric SequencesMore Visual Patterns
Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by SubstitutionCraft-a-Graph
Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear EquationsOn the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 8.5: Systems of Linear InequalitiesParabola Zapper
Two for One
Shooting Stars
Lesson 8.6: Systems of Linear InequalitiesPlane, Train, and Automobile
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Revisiting Visual Patterns, Part 1
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and VariationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Welcome, Arkansas educators!

We are excited to introduce Amplify Core Knowledge Language Arts (CKLA) 3rd Edition, now an Arkansas-approved HQIM core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Rest assured that Amplify CKLA 2nd Edition remains a robust, trusted option, and our high-quality professional development and ever-growing PD Library of resources continue to be available to all CKLA partners.

Whether you’re continuing with the 2nd edition or exploring the 3rd, you’ve chosen a proven and research-based curriculum designed for lasting impact.  Together, let’s write the next chapter in the Science of Reading.

A correlation of the Arkansas English Language Arts Standards to Amplify CKLA 3rd Edition is now available!

An astronaut in space extending a hand toward the camera, with the moon in the background and a speech bubble containing “/oo/.”.

Amplify ckla servers

150,000+

Classrooms

4,000,000+

students

50+

us states and d.c.

Our approach

Improve outcomes with a program built on decades of research, that meets the strongest ESSA Tier I criteria.

A diagram showing the simple view of reading by combining language comprehension and word recognition at various levels, leading to expert reading.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results for Arkansas students

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

A diagram shows the steps for learning a sound: hear /a/, say the sound, read "c-a-t," and write "cat" with a pencil, featuring a cartoon cat image.

Build foundational skills for long-term success.

Students progress from simple to complex skill development, starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated, so students simultaneously strengthen their communication skills, comprehension, and confidence.

A young boy sits at a desk in a classroom, writing in a notebook with a pencil, while other students are visible in the background.
A laptop displays a children's story titled "Seth's Sled." Surrounding it are five book covers, including "Duke Ellington" and "Patricia's Vision.

High-quality texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varying experiences and backgrounds, and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Four children sit cross-legged on a classroom rug, two with hands raised. They appear engaged and attentive, with posters and shelves visible in the background.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

A laptop displaying an assessment report is surrounded by books, an astronaut illustration, and a large moon graphic on a white background.
A collection of educational materials, including spiral notebooks, textbooks, a lesson plan, and a laptop displaying an educational screen with the title "Let's Explore.

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)
A collage shows a poetry workbook, an open book with a dog illustration, a butterfly, and a laptop displaying a digital poem.
Six children's and young adult book covers arranged in two rows, featuring titles about animals, exploration, and adventure.

Rich literary experiences

The high-quality texts in Amplify CKLA foster students’ curiosity, reflect the wide variety of their backgrounds and experiences, and help them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delights students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
A digital learning interface displays vowel sounds, word-building activities, and phonics flashcards, with an illustrated brown weasel on the right.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders

Professional Development

We look forward to working alongside our Arkansas partners to build a strong foundation in Amplify CKLA. Our dedicated professional development team will continue collaborating with the ADE to provide job-embedded, on-site support that aligns with the Arkansas ELA standards and the Science of Reading.

Explore Amplify’s Effective PD Solutions

Two women sit indoors at a table; one is focused on her work while the other is smiling. Papers and a water bottle are visible in the foreground.
A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS® 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support

Language Studio: Multilingual and English learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

Get a demo

Fill out this form and your Account Executive Paige Benoy will contact you to set up a demo, send samples, or answer questions about Amplify CKLA.

A woman with straight blonde hair smiles outdoors, standing in front of steps and greenery. She is wearing a patterned top.

Paige Benoy
Arkansas Account Executive
pbenoy@amplify.com

Texas SLAR Literacy Adoption

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The next chapter in the Science of Reading

Introducing Amplify CKLA 3rd Edition, a K–5 core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction. Available for the 2025–2026 school year, the 3rd Edition builds on this successful foundation to better support all students in becoming confident readers, writers, and thinkers. Together, let’s write the next chapter in the Science of Reading.

An astronaut floats in space near the Moon, with a speech bubble displaying

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Our approach

Improve outcomes with a program built on a decade of research, and that meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grades 3–5 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Assignable Practice Games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All of the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable Practice Games
  • Sound Library
  • eReaders

Professional Development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.

Ready to continue your learning journey?

We also offer live, tailored professional learning sessions by expert partners to expand your Science of Reading expertise, strengthen implementation, and improve student outcomes.

“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading™: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

The next chapter in the Science of Reading

Introducing Amplify CKLA 3rd Edition, a K–5 core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction. Available for the 2025–2026 school year, the 3rd Edition builds on this successful foundation to better support all students in becoming confident readers, writers, and thinkers. Together, let’s write the next chapter in the Science of Reading.

An astronaut floats in space near the Moon, with a speech bubble displaying

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Our approach

Improve outcomes with a program built on a decade of research, and that meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grades 3–5 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Assignable Practice Games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All of the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable Practice Games
  • Sound Library
  • eReaders

Professional Development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.
“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading™: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

What’s included in our Spanish language arts curriculum

Amplify Core Knowledge Language Arts® (CKLA) is available in both English and Spanish. Amplify Caminos al Conocimiento Esencial, our robust Spanish language arts companion for grades K–5, supports multiple teaching models, including dual language immersion and transitional classrooms.

A laptop screen displays a kindergarten instructional webpage in Spanish, showing lesson categories with illustrated thumbnails and navigation options.

Year at a glance

The program’s intentional Knowledge Sequence from K–5 connects knowledge and vocabulary within a grade level and across grade levels, for deeper reading comprehension and preparation for college, career, and life. Instead of “activating prior knowledge,” Amplify Caminos helps you build it in the classroom from day one, for every child, expanding each student’s knowledge base long before they transition to reading to learn.

Curriculum flowchart showing reading themes and activities from Kindergarten to Grade 5, organized by grade level and literary theme, with interconnected boxes for each topic.

Units & domains at a glance

Each Knowledge Domain in grades K–2 and Unit in grades 3–5 varies in the number of days based on instructional purpose. Just as with our top-rated Amplify CKLA program, the Amplify Caminos materials engage and delight young learners with resources that are both appealing and original.

Una mujer rubia con un vestido azul cuida ovejas blancas y negras, sosteniendo un bastón de pastor. Un cerdo vestido de azul corre y un hombre de negro toca el violín en una valla. Al fondo hay una casa.

Domain

Nursery Rhymes and Fables/Rimas y fábulas infantiles

Start learning about literature with these classic Mother Goose rhymes.

Ilustración de tres personas en un paisaje cubierto de hierba, una tratando de atrapar mariposas con una red, otra escondiéndose detrás de una escultura alta y frondosa de una mano y otra con binoculares.

Domain

The Five Senses/Los cinco sentidos

Learning about the body starts with learning about how we experience the world.

Una ilustración que representa a un gran lobo con sombrero de copa liderando un desfile de animales y personas con instrumentos musicales a través de un paisaje montañoso.

Domain

Stories/Cuentos

Learn about the parts of a book and some of the stories that go in one.

Una ilustración vibrante de una escena rural con colinas, una granja, una mariposa, un sol brillante, varias verduras como tomates y lechugas, y un gusano en el suelo.

Domain

Plants/Plantas

Discover the lifecycle of plants and the history of George Washington Carver.

Ilustración de una escena de granja que muestra un camión rojo que transporta verduras, campos de cultivo, vacas pastando en una colina, un granero y un molino de viento contra un cielo azul.

Domain

Farms/Granjas

Now we know how plants make their food… but what about animals?

Ilustración de un nativo remando en una canoa en un río con búfalos pastando en un campo, tipis al fondo y pájaros volando en el cielo bajo un sol brillante.

Domain

Native Americans/Los nativos americanos

Who were the first people in America? A look at the Lenape, Wampanoag, and Lakota Sioux.

Una ilustración muestra un rey y una reina en tronos, un castillo en un acantilado y una mujer con enanos cerca de un árbol. Cortinas rojas enmarcan la escena.

Domain

Kings and Queens/Reyes y reinas

To understand fairy tales, it’s best to first understand royalty.

Ilustración que muestra las cuatro estaciones: primavera con flores, verano con árboles verdes, otoño con hojas que caen e invierno con nieve y gente en trineo. Un niño lee debajo de un árbol.

Domain

Seasons and Weather/Las estaciones y el tiempo

The study of natural cycles continues with the weather and why it happens.

Un velero de madera con símbolos de cruz roja en sus velas navega cerca de una isla tropical con exuberante vegetación y palmeras. A lo lejos se ven otros dos barcos en el agua.

Domain

Columbus and the Pilgrims/Colón y los peregrinos

A look at the first contact between Europe and the Americas, and some of its results.

Una escena histórica muestra gente afuera de una gran mansión de estilo colonial con dos chimeneas. En primer plano se ve un carruaje tirado por caballos y a la izquierda se ve una casa más pequeña.

Domain

Colonial Towns and Townspeople/Las colonias y sus habitantes

Before the War for Independence, how did the town and country depend on one another?

Ilustración de personas clasificando materiales reciclables en un parque cerca de un río contaminado. Las fábricas emiten humo al fondo, mientras que las mariposas, las flores y los árboles están presentes en el primer plano.

Domain

Taking Care of the Earth/Cuidar el planeta Tierra

We only have one Earth—here are some ways to help care for it.

Ilustración del Monte Rushmore con los rostros tallados de cuatro presidentes de Estados Unidos. Un águila vuela en primer plano.

Domain

Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos

Start learning about government through the lives of five presidents.

Una ilustración caprichosa que muestra animales de granja alrededor de una casa en un árbol junto a un río. Un zorro, un conejo y una oveja interactúan mientras la gente acampa junto a una fogata al fondo. Una araña cuelga del árbol.

Domain

Fables and Stories/Fábulas y cuentos

Learn some of the key elements of a story through classic fables.

Ilustración que presenta anatomía humana, actividades de estilo de vida saludable, profesionales médicos, símbolos dietéticos, una ambulancia y microorganismos, destacando la conexión entre salud, nutrición y ejercicio.

Domain

The Human Body/El cuerpo humano

What are germs? What are the organs? And what does it all have to do with health?

Una ilustración que presenta varias escenas de cuentos de hadas y folclore, incluida una calabaza grande, un tigre, Caperucita Roja, personas con atuendos tradicionales y una pagoda roja con una montaña de fondo.

Domain

Different Lands, Similar Stories/Tierras diferentes, cuentos similares

A world tour of storytelling, and the stories that stay the same across the world.

Ilustración que muestra el antiguo Egipto con pirámides, la Esfinge, agricultores arando un campo con bueyes y ganado pastando bajo un cielo soleado.

Domain

Early World Civilizations/Antiguas civilizaciones del mundo

Rivers, farming, writing, and laws: just what does it take to build a civilization?

Escena ilustrada de la antigua Mesoamérica con maíz, un río, agricultores y pirámides al fondo. En primer plano se ve a una persona con traje tradicional.

Domain

Early American Civilizations/Antiguas civilizaciones de América

What will we find in the great temples of the Aztec, Maya, and Inca civilizations?

Ilustración de la exploración espacial: se lanza un cohete, un astronauta se para cerca de un módulo de aterrizaje, una persona usa un telescopio y aparece un planeta distante con anillos sobre un fondo estrellado.

Domain

Astronomy/Astronomía

How the Earth relates to the moon, the sun, and the rest of the planets.

Dos paleontólogos en un paisaje volcánico examinan fósiles en primer plano, mientras un volcán emite humo y lava al fondo.

Domain

The History of the Earth/La historia de la Tierra

Just what lies beneath the Earth’s surface, and what can it teach us about the past?

Una escena de vida silvestre diversa que presenta un cactus del desierto con un pájaro, un conejo, elefantes, un león, un oso polar sobre el hielo y montañas distantes bajo un cielo nublado.

Domain

Animals and Habitats/Los animales y sus hábitats

A look at the connection between how animals live and where they make their homes.

Una princesa con un vestido rosa sostiene una rana junto a un arroyo con un castillo, árboles y gente al fondo. En primer plano camina un zorro con un sombrero con una pluma roja.

Domain

Fairy Tales/Cuentos de hadas

What do fairy tales have to teach us about how stories are told?

Ilustración que muestra una escena histórica con soldados, veleros y hombres con atuendo colonial discutiendo en el interior.

Domain

A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos

The story of the birth of the United States out of the 13 Colonies.

Los pioneros con carros cubiertos y caballos señalan hacia un valle con tipis nativos, fogatas y humo elevándose. Un oso se encuentra sobre una roca y se ven montañas al fondo.

Domain

Frontier Explorers/Exploradores de la Frontera

The story of the journey west from the newborn U.S.A. to find the Pacific Ocean.

Un hombre con un hacha se encuentra entre paisajes exagerados con un castillo, un tren con humo, un buey azul y una persona con un mono observando la escena.

Domain

Fairy Tales and Tall Tales/Cuentos de hadas y cuentos exagerados

Learn about exaggeration and characterization on the frontier.

Ilustración de un paisaje vibrante que presenta diversos monumentos culturales, incluidos templos, palacios, pirámides, una escena de elefantes, montañas distantes y fuegos artificiales en el cielo.

Domain

Early Asian Civilizations/Antiguas civilizaciones de Asia

Tour the world of classical civilization, starting with India and China.

Ilustración que muestra la antigua Grecia con un anfiteatro, estatuas, soldados con armadura, un barco y un templo en una colina rodeada de vegetación.

Domain

Ancient Greek Civilization/La civilización griega antigua

The tour continues with the philosophy and politics of Greece.

Illustration of various mythological scenes including greek gods, a flying horse, and roman architecture under a sunny sky.

Domain

Greek Myths/Mitos griegos

Dive deep into the characters and storytelling of classic myths.

Ilustración de una batalla entre barcos británicos y estadounidenses cerca de un fuerte. El barco británico está a la izquierda con soldados, mientras que el barco estadounidense está a la derecha. La gente porta una gran bandera estadounidense en primer plano.

Domain

The War of 1812/La guerra de 1812

Learn about America’s “Second War for Independence.”

Un paisaje nevado con un zorro durmiendo en una madriguera, gente corriendo y andando en bicicleta por un sendero y árboles que muestran los cambios estacionales.

Domain

Cycles in Nature/Los ciclos de la naturaleza

Introducing the natural cycles that make our lives possible.

Ilustración de carros cubiertos tirados por caballos a lo largo de un sendero en el desierto, con un coyote aullando sobre una alta formación rocosa y un tren de vapor al fondo.

Domain

Westward Expansion/La expansión hacia el oeste

Why did pioneers go west? What happened to the people who were there?

Ilustración de un jardín vibrante con flores, abejas, mariposas, una oruga en una hoja, una crisálida y un apicultor que maneja una colmena junto a un estanque.

Domain

Insects/Los insectos

Lay the grounds for animal classification by looking at solitary and social insects.

Ilustración de una escena histórica con gente escuchando el discurso de un hombre en una plataforma. Al fondo se ve un río y una procesión de personas. En primer plano hay un documento de proclamación.

Domain

The U.S. Civil War/La Guerra Civil de los Estados Unidos

Begin to grapple with U.S. history’s central crisis over slavery.

Una escena en la que aparece una persona explicando un diagrama anatómico humano, otra persona haciendo ejercicio, una cadena de ADN, campos y un microscopio de fondo.

Domain

Human Body: Building Blocks and Nutrition/El cuerpo humano: componentes básicos y nutrición

A deeper dive into the digestive system and the nutrition process.

Un grupo diverso de personas se encuentra en un muelle con vistas a un bullicioso puerto con barcos y un gran barco, un avión volando por encima y la Estatua de la Libertad al fondo.

Domain

Immigration/La inmigración

Why did people immigrate to the United States, and what did they find here?

Women in early 20th-century clothing march with signs for voting rights and justice in front of a yellow bus labeled "Cleveland Ave.," making history that can inspire lessons in a K–2 language arts curriculum.

Domain

Fighting for a Cause/Luchar por una causa

How people can do extraordinary things to make the world better for everyone.

Dos ratones antropomórficos en un bote de remos, uno de ellos remando, navegan por un río tranquilo rodeado de exuberante vegetación y árboles. El ratón que rema lleva una chaqueta azul y el otro ratón parece conversar.

Unit 1

Classic Tales: The Wind in the Willows/Cuentos Clásicos: El viento en los sauces

A deep dive into character, theme, and POV in classic stories from around the world.

Ilustración de un jaguar, una garza, una rana roja, una tortuga y un pez en un paisaje vibrante con montañas y vegetación bajo un cielo soleado.

Unit 2

Animal Classification/La clasificación de los animales

How do we classify different animals by their appearance and behavior?

Ilustración de una figura humana que muestra la anatomía interna, incluidos el cerebro, los pulmones, el corazón, el sistema digestivo y una articulación de la cadera resaltada sobre un fondo degradado.

Unit 3

The Human Body: Systems and Senses/El cuerpo humano: sistemas y sentidos

Let’s take a closer look at how the skeleton, muscles, and nervous system all work.

Un ángel se arrodilla ante una mujer sentada en un sofá dorado encima de un templo en una noche estrellada. Unas escaleras conducen al templo en un paisaje montañoso.

Unit 4

The Ancient Roman Civilization/La civilización romana antigua

What is Rome’s greatest cultural contribution? In this unit, your students decide.

Ilustración de un perro saltando bajo un árbol, persiguiendo una abeja, con una mesa en primer plano sosteniendo una jarra y vasos de limonada. El sol brilla intensamente en el cielo.

Unit 5

Light and Sound/La luz y el sonido

The science behind all the ways we see and hear the world.

Un barco vikingo con una proa en forma de dragón navega en el océano bajo un cielo azul con nubes. El barco tiene una sola vela grande y varios escudos recubren sus costados.

Unit 6

The Viking Age/La era vikinga

An immersive narrative experience about what life was like in Viking communities.

Ilustración de una escena espacial con varios planetas y anillos sobre un fondo de estrellas. Dos planetas grandes dominan el primer plano y se ven planetas más pequeños al fondo.

Unit 7

Astronomy: Our Solar System and Beyond/Astronomía: nuestro sistema solar y más allá

More about our universe, including a writing project about daily life on a space station.

Una persona sentada en el borde de un acantilado con vistas a un vasto paisaje desértico con nubes arremolinadas en el cielo.

Unit 8

Native Americans: Regions and Cultures/Los nativos americanos: regiones y culturas

How did Native American nations change their way of life in different parts of the world?

Ilustración de un velero en el océano con la costa este de América del Norte visible a la izquierda.

Unit 9

Early Explorations of North America/La exploración europea de América del Norte

What was it like to sail to North America with the early European explorers?

Una pintura representa una escena del siglo XVII con colonos, un velero al fondo y un hombre conduciendo un carro tirado por caballos cargado de mercancías. Se ve a otras personas descargando y trabajando cerca.

Unit 10

Colonial America/La época colonial en los Estados Unidos

A study of the very different ways of life in the different pre-U.S. colonies.

Ilustración que muestra el ciclo de la vida: un esqueleto en el suelo, un pájaro posado en una cerca, otro pájaro en una planta y un ave rapaz más grande arriba, todos conectados por flechas circulares.

Unit 11

Ecology/Ecología

Students keep ecologist’s journals to learn about our world and how best to protect it.

Una mano alcanza una manzana verde en una rama. Cerca hay una brújula, un termómetro, un lápiz, notas musicales y un granero rojo sobre un paisaje cubierto de hierba.

Unit 1

Personal Narratives/Narrativas personales

Read stories of personal experience… and learn to reflect on your own.

Ilustración medieval que representa un grupo de figuras con armadura a la entrada de un alto castillo gris con puente levadizo, adornado con banderas y rodeado por un paisaje decorado y fondos ornamentados.

Unit 2

Empires in the Middle Ages/Los imperios en la Edad Media, parte 1 & Los imperios en la Edad Media, parte 2

Explore the medieval history of Europe and the Middle East.

Ilustración dorada de un dragón con alas sobre fondo beige, rodeado de diversos elementos decorativos como estrellas, hojas y estampados abstractos.

Unit 3

Poetry/Poesía

Study the poetry of many nations using licensed text anthologies, and begin to write your own.

Vintage styled illustrations of a microscope, an old telephone, and a clock on textured background with geometric patterns.

Unit 4

Eureka! Student Inventor/¡Eureka! Estudiante inventor

Transform the class into a lab for students to build and present inventions.

Formaciones rocosas en un paisaje desértico con capas vibrantes y arremolinadas de arenisca roja, naranja y amarilla bajo un cielo parcialmente nublado.

Unit 5

Geology/Geología

Plate tectonics, volcanoes, erosion: all the forces that shape the Earth.

Una imagen abstracta y colorida que representa varias formas geométricas de edificios sobre un fondo azul estampado.

Unit 6

Contemporary Fiction with excerpts from The House on Mango Street/Ficción Contemporánea con Fragmentos de La Casa en Mango Street

Explore The House on Mango Street… and write a book while doing it.

Cuadro que representa a un hombre y un niño tocando una gran campana en una torre, con espectadores al fondo y un cartel de "LIBERTAD" visible.

Unit 7

American Revolution/La Revolución estadounidense

Why did America seek independence? Let’s investigate the causes and effects.

Un pequeño bote de remos con tres personas navega por mares agitados mientras dos grandes barcos luchan al fondo, con humo y fuego visibles.

Unit 8

Treasure Island/La Isla del Tesoro

How dSeek the treasure of plot in this detailed study of a classic fiction adventure.

Unit 1

Personal Narratives/Narrativas personales

Through writing and sharing their writing, students begin to identify themselves as writers.

Unit 2

Early American Civilizations/Las primeras civilizaciones americanas

Students craft a codex to explain the rise and fall of the Maya, Aztec, and Inca people.

Dos jinetes medievales a caballo, uno de ellos con la espada en alto, avanzan por un terreno rocoso. El fondo presenta un paisaje brumoso bajo un tono violeta.

Unit 3

Poetry/Poesía

Students close read many forms of poetry… and learn to write them.

Collage ilustrado con un paraguas, un cuervo, un sextante náutico, estrellas, una luna creciente y una brújula sobre un fondo beige texturizado.

Unit 4

Adventures of Don Quixote/Las Aventuras de Don Quijote

Was Don Quixote right to fight the windmill? In this full-length novel study, students decide.

Unit 5

The Renaissance/El Renacimiento

Exploring the art and literature of the Renaissance through the works of its masters.

Tres hombres vestidos con ropa de época examinan una gran hoja de papel dentro de una imprenta. Un hombre parece llevar un delantal, mientras que otro señala el papel y el tercero observa de cerca.

Unit 6

The Reformation/La Reforma

How did the printing press transform the religion and society of Europe?

Patrón botánico morado y lila con hojas, plantas y formas abstractas, incluida una luna creciente y estrellas, sobre un fondo violeta oscuro.

Unit 7

William Shakespeare’s A Midsummer Night’s Dream/Sueño de Una Noche de Verano de William Shakespeare

Students enter the world of Shakespeare by reading, designing, and acting out his work.

Retrato en tonos sepia de una joven de pelo largo, con un collar de pedrería y un chal drapeado.

Unit 8

Native Americans/Los nativos americanos

How did the policies of the U.S. government impact Native American culture and lives?

Una lupa sobre documentos que contienen una pintura de paisaje de montañas, un dibujo con la etiqueta "Raptor Claw" y una nota adhesiva con la "Pista n.° 2". También se ven un sobre y una insignia exterior.

Unit 9

Chemical Matter/Química

Students use knowledge of chemistry to solve a mystery.

Print & digital components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

Component

FORMAT

Knowledge (Conocimientos) Teacher Guides (K–2)

Knowledge Strand Teacher Guides contain Amplify CKLA’s cross-curricular read-alouds and application activities, all of which are standards-based to build mastery of content knowledge and literacy skills. There is one Teacher Guide per Knowledge Domain.

Print and digital

Knowledge Image Cards (K–2)

Amplify Caminos includes Image Cards for each Knowledge Domain to bring each topic to life through vivid visuals.

Print and digital

Knowledge Flip Books (K–2)

Projectable Flip Books are provided to accompany the read-alouds in each Knowledge Domain.

Digital

Teacher Guides (3–5)

Teacher Guides for grades 3–5 units are based on content-rich topics and incorporate reading, writing, speaking, and listening skills in the context of background knowledge. There is one Teacher Guide per unit.

Print or digital

Teacher Resource Site (K–5)

The program includes a one-stop-shop website for lesson projections, digital versions of all Amplify Caminos materials, lesson planning resources, multimedia (such as eBooks), and more.

Digital

Professional Learning Site (K–5)

The Professional Learning site includes training materials, best practices, and other resources to develop program expertise. Access professional development anywhere, anytime.

Digital

Component

FORMAT

Knowledge (Conocimiento) Activity Books (K–2)

Activity Books provide students with the opportunity to deepen world and word knowledge by responding to text in a diversity of ways.

Print

Student Readers (3–5)

Student Readers serve as content-rich anchor texts for each unit. Units such as Poetry and Contemporary Fiction feature authentic texts originally written in Spanish.

Activity Books (3–5)

Activity Books in grades 3–5 provide daily opportunities for students to hone reading and writing skills within the context of each unit.

Print and digital

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

S4 – 03: LIVE from NCTM with Bethany and Dan

Hosts Bethany and Dan, both smiling, in a promotional image for the "Math Teacher Lounge" podcast, Season 4 Episode 3, titled "Live from NCTM!" with an

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer are LIVE with more than one hundred Math Teacher Lounge listeners at the recent National Council of Teachers of Mathematics conference. Listen in as they answer the pressing question: Who is the best teacher in film or television?

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Presenter (00:00):
Ladies and gentlemen, from Math Teacher Lounge, we have Bethany Lockhart Johnson and Dan Meyer! <cheering>

Bethany Lockhart Johnson (00:08):
Doesn’t go well that the door was locked. Like, I could not get in! <Laugh>

Dan Meyer (00:12):
Yeah. Gotcha. All right. We’re gonna sit a little bit. Let’s see how that works—

Bethany Lockhart Johnson (00:16):
Hi!

Dan Meyer (00:16):
Yeah. I think we’ll stand up? Or whaddaya think, sit…?

Bethany Lockhart Johnson (00:19):
Should we stand? Hi.

Dan Meyer (00:22):
Hello. Great to see you folks. Yeah, I can hear you.

Bethany Lockhart Johnson (00:25):
Can you hear me? That’s—I know YOU can me. Can you hear me OK? OK! We’re here. Hello. Thank you for like, lining up and coming out and being here. Thank you!

Dan Meyer (00:35):
Means so much to me that you could be here for me, on my show, with Bethany Lockhart Johnson, my co-host. <Audience laughs>

Bethany Lockhart Johnson (00:40):
The hour has just started.

Dan Meyer (00:42):
We’re just getting going. Yeah. If you folks have heard the podcast, you don’t know how much gets cut out. And it’s like, mostly me just having, you know, anxious nerves and saying something silly and then we cut it out and we can’t do that here today. So it should be real fun for all of us, I think. Yeah.

Bethany Lockhart Johnson (00:55):
It’s not true. It’s mostly dancing. “Bethany, can you stop talking? Bethany?” Cause it’s mostly—

Dan Meyer (00:59):
“It’s my turn. It’s my turn! Bethany <laugh>! I haven’t been heard for a while.”

Bethany Lockhart Johnson (01:02):
Dan. We’re at an in-person conference.

Dan Meyer (01:05):
In-person BIG conference, I would say. I’d say a big conference. Yeah.

Bethany Lockhart Johnson (01:08):
And have you been to the Amplify booth?

Dan Meyer (01:11):
I have! Have these people? There’s a claw machine with free socks.

Bethany Lockhart Johnson (01:16):
Yeah. You’re saving me socks, right? That’s what you’re saying. <Laugh> I mean, it’s exciting. How has your conference been so far?

Dan Meyer (01:21):
So far it’s been a blast. I feel fed. I feel like the community’s been awesome. How are you feeling about it?

Bethany Lockhart Johnson (01:29):
OK. Let’s talk about me for just a second.

Dan Meyer (01:31):
Yeah. Talk about you.

Bethany Lockhart Johnson (01:31):
Last night, Dan, was the very first night that I was away from my toddler. <Audience: Aw!>

Dan Meyer (01:38):
Big commitment being here. Thank you.

Bethany Lockhart Johnson (01:40):
I got super-emotional walking back to the hotel after dinner, and then I got in my room, <laugh> I put on pajamas, and I turned on music. I slept so good!

Dan Meyer (01:50):
Yeah. <Audience laughs> Give it up for no kids! <Audience laughs> Hey!

Bethany Lockhart Johnson (01:55):
I love him so much. But I slept all the way through the night. Oh, by the way, I ordered room service in the morning.

Dan Meyer (02:01):
On Amplify.

Bethany Lockhart Johnson (02:01):
That bill’s coming. But it’s been a great conference and I’m so delighted to be here in person and to get to share energy…and hopefully that’s all we’re sharing today. Y’all got your tests, right? Yep. Sharing energy and community today. Because we know it’s been hard. Hardness. Hard.

Dan Meyer (02:25):
Yeah.

Bethany Lockhart Johnson (02:26):
Years. Hard. And to be in person, I know conferences reinvigorate me and I go back into my educational spaces feeling revitalized with new connections and new ideas to try. So yeah, I’ve been excited to be here. And thank you all for being here.

Dan Meyer (02:40):
Yep. I don’t care if I get six different strains of Covid here. I’m just thrilled to be here. <Audience laughs> I don’t know if you’ve had the same feeling, though, Bethany, you folks…I’m a little bit confused to some degree about what we’re doing. I just wanna be really transparent. This is my sarcastic voice but I’m being sincere here. It kind of feels like we’re in a little bit of a time capsule. Like we all got in a time capsule in 2019 and, you know, you open it back up and it’s like, OK, so we’re still, you know, talking about X, Y, or Z protocol for establishing classroom routines or whatever. And I’m like, OK! Like, I loved that in 2019! But I do admit, I’m still trying to figure out a little bit like, what are we doing now? What’s our relationship to the world out there? Things are very different. I have had some great sessions that I’ve enjoyed. I’m also like, still waiting for a session to draw a little blood. Do you know what I mean? Like there’s been sessions…no? OK. You’ve been in these sessions where it’s like, “Oh, ow.” Like, and you look down and there’s and there’s blood there. It’s like, I thought I knew what we were up to. Like, I thought I knew what teaching was and how we relate to the world. I dunno, like in any Danny Martin session in 2019, “Take a Knee” was one, where I was like, “Oh, OK. Like, I’m not as hot as I think I am here. Like, I’m part of a system.” That kind of thing for me draws blood. And I haven’t been in one of those yet. Been some great sessions. I’m a little hopeful that today we draw a little blood and think about what we’re doing here, is my hope here, if that’s OK. So Bethany’s gonna moderate that impulse and she’ll be the fun one and I’ll be the blood-drawing one.

Bethany Lockhart Johnson (04:05):
No, I don’t…that metaphor doesn’t speak to me personally. But what I will say is, I get what you’re saying about really wanting to be in that room where there’s like this synergy happening. No promises about that today other than—

Dan Meyer (04:18):
I promise. <Audience laughs> Go on.

Bethany Lockhart Johnson (04:20):
Other than I get what you’re saying. I’ll find my own metaphor that does not involve bloodshed, but.

Dan Meyer (04:25):
Sure. There’s a lot of ways we we could go about this today. And the one that I’m excited about is, you know, we could like, you know, analyze some results from students, and talk about what went into that. Look at classroom video. Lots of possibilities. But here’s what we’re up to today. Hope you’re into it. Which is, we are here in the heart of the entertainment industry. You know, Tinseltown! Um, the Big Apple! Uh…

Bethany Lockhart Johnson (04:47):
No!

Dan Meyer (04:47):
Come on. What do you got here? Um…

Bethany Lockhart Johnson (04:51):
It was daytime at night. Like the lights were so bright.

Dan Meyer (04:54):
The City of Lights.

Bethany Lockhart Johnson (04:55):
There was a movie premiere outside my hotel room, which I was not invited to, unfortunately. But so what are we doing today?

Dan Meyer (05:01):
So here’s what we’re doing. We are gonna settle, once and for all, a question you have not asked yourself yet, perhaps, but will want to know the answer to in a moment. Which is: Who is the best teacher in all of film or television? OK? We’re gonna do that. It’ll be fun. But I hope that in debating this a little bit with a special guest we’ll bring up in a moment, that we will start to uncover some truths about what makes good teaching. How that’s different from teaching as we see it in movies and tv. Why middle-class America wants teachers to look a certain way in movies and tv. What all that means. And it’ll be awesome. I think. I’m hopeful it’ll be awesome. So what we did here is we’ve invited eight people. Eight folks you people may have known. You’ve been in their sessions today, in this conference, perhaps. And asked them: Who’s your fave? Like, we might have our favorites, but we wanted to democratize it a bit. So asked some cool people who you folks like, who are very smart and thoughtful about teaching: Who’s your favorite teacher?

Bethany Lockhart Johnson (05:58):
A few of whom are in this room. Thank you for your submission.

Dan Meyer (06:00):
Thank so much. Yeah. We’ll see what happens here. <laugh>

Bethany Lockhart Johnson (06:03):
As they shrink down.

Dan Meyer (06:03):
Yeah. Might draw some blood that I don’t mean to right now. We’ll see. OK.

Bethany Lockhart Johnson (06:06):
That metaphor, what IS that??

Dan Meyer (06:07):
Yeah. Yeah. I love it. I’m still going with it. <laugh> And you folks will be a huge part of this. THE part of this, really. So what will happen is I’ll share with you our first nominees. A few of us will make a case for our favorites, or least favorites, as the case may be sometimes. And then by applause, by acclamation, you folks will decide who wins and advances to the next round. Start with eight, move to four. You folks know math.You know where this goes. OK.

Bethany Lockhart Johnson (06:34):
No, keep going. Keep going.

Dan Meyer (06:36):
Two, then one.

Bethany Lockhart Johnson (06:36):
Yeah. Got it.

Dan Meyer (06:37):
Then a half of it. No?

Bethany Lockhart Johnson (06:38):
He had to school me on the making of brackets. But we got it. Yeah.

Dan Meyer (06:41):
How brackets work.

Bethany Lockhart Johnson (06:41):
But we got it. March Madness, what?

Dan Meyer (06:44):
Yeah, in order to do this right, we had to bring up—all the folks that you’ll see are also former Math Teacher Lounge guests, or like, just fan favorites. And we’re also bringing up a former Math Teacher Lounge guest to help us decide this and debate this in a respectful manner.

Bethany Lockhart Johnson (06:59):
New dad.

Dan Meyer (07:00):
New dad.

Bethany Lockhart Johnson (07:01):
You see where my brain’s still at? I miss him. <Laughs>

Dan Meyer (07:03):
Friend from San Diego. Really cool teacher.

Bethany Lockhart Johnson (07:06):
Incredible teacher.

Dan Meyer (07:06):
Works at Desmos and Amplify. And I just want you to welcome up your friend and mine. Chris Nho!

Bethany Lockhart Johnson (07:11):
Chris Nho!

Dan Meyer (07:13):
Come up, Chris. Let’s go, buddy. We didn’t talk about it, but did you want to do the cornball stuff too?

Chris Nho (07:22):
Wow. Would I love to do—

Bethany Lockhart Johnson (07:23):
And then the door could be locked! And then you have to wait and like, just—

Chris Nho (07:27):
Yeah, I’ll skip that part.

Bethany Lockhart Johnson (07:28):
Hi. Welcome. You’re here. We’re here in person.

Chris Nho (07:30):
Very glad to be here. Thank you all for having me.

Dan Meyer (07:33):
Tell me who you are.

Chris Nho (07:34):
My name is Chris Nho. I live in San Diego. I’m a new dad. A three month old, just had. Yeah, she’s actually here at the conference with us in the hotel room. And I promise you she is not by herself. She is with…come on. I was like, “Hey, just gimme one hour. I’ll be right back. I have to do very important work.” But yeah, I think I got invited here because I have opinions and I’m willing to draw…some…blood.

Dan Meyer (08:02):
There we go! Two outta three! We’re good on the metaphor now.

Bethany Lockhart Johnson (08:06):
We’re so glad you’re here. If you haven’t listened to the episode where Chris and Molly and some other public math folks share their ideas and ideas of how to take math out into the world, please listen, because we had a blast.

Dan Meyer (08:19):
Inspiring work. Really inspiring work. Very cool. Cool. OK. Right on. OK.

Bethany Lockhart Johnson (08:23):
Let’s do this!

Dan Meyer (08:24):
Let’s get started here. Yeah! <Audience cheers> Yeah. And we might ask you who your favorite teacher is, who’s missing from our list of eight? We might have forgotten some people. Anyway. All right. So here’s our first two. Our first two are nominated by way of, let’s see, um, Mandy Jansen is a professor at the University of Delaware. Got some awesome talks here this week, a Shadow Con talk last night. She’ll be nominating one. And also, um, Lani Horn is a professor at Vanderbilt, also extremely cool, prolific author and speaker, just all-around great human and friend of teachers everywhere. And she’ll nominate another in this bracket, which is the Northeastern Comedy bracket, Northeastern comedy bracket.

Bethany Lockhart Johnson (09:06):
It just worked out that way.

Dan Meyer (09:07):
Yeah. Here it is. Here is Tina Fey in Mean Girls.

Tina Fey in Mean Girls (09:12):
“OK. Everybody close your eyes. All right. I want you to raise your hand if you have ever had a girl say something bad about you behind your back. Open your eyes. Now close your eyes again. And this time I want you to raise your hand if you have ever said anything about a friend behind her back. Open up. It’s been some girl-on-girl crime here.”

Lani Horn (09:52):
I am nominating Sharon Norbury from Mean Girls as the best movie math teacher. She is an awesome teacher who is always there for her kids. She always sees the best in them. She shows that she can forgive even some pretty bad behavior, if she sees that kids are trying. She’s a strong feminist who makes sure that smart girls don’t dumb themselves down just to impress boys.

Tina Fey in Mean Girls (10:22):
“Katie, I know that having a boyfriend may seem like the most important thing in the world right now, but you don’t have to dumb yourself down to get guys to like you.”

Lani Horn (10:30):
She’s also super hard-working. She works three jobs. She’s always there for the kids. She plays piano in the talent show and takes them to Mathlete competitions. And she’s also socially aware. And when things go really badly among the girls, she does some pretty creative things to try to get them to be kinder to each other.

Dan Meyer (10:54):
OK. That’s one.

Bethany Lockhart Johnson (10:55):
Helen Case.

Dan Meyer (10:57):
All right. Settle down. Settle down. Settle down. All right.

Bethany Lockhart Johnson (10:59):
Piano too!

Dan Meyer (11:00):
Bethany’s already trying to bias people here. All right. Chill out. Hold on. So next one is Mandy Jansen with Jack Black from School of Rock. Uh-oh. Uh-oh.

Jack Black in School of Rock (11:09):
“What was your name?”

Kid in School of Rock (11:10):
“Katie.”

Jack Black in School of Rock (11:11):
“Katie. What was that thing you were playing today? The big thing.”

Kid in School of Rock (11:14):
“Cello.”

Jack Black in School of Rock (11:15):
“OK. This is a bass guitar and it’s the exact same thing, but instead of playing like this, you tip it on the side. Chellooooo! You’ve got a bass! <Laugh> Try it on.”

Mandy Jansen (11:25):
And I’m nominating for best teacher in a film Jack Black as Dewey Finn playing Mr. Ned Schneebly in the film School of Rock. So why this portrayal? First of all, playing a longterm sub. Those are so hard to find right now. <Audience laughs> Really hard. And then he teaches using class projects. That’s brilliant. Integrated learning. And then love this. He gives students roles and tasks that are differentiated and align to the specific strengths that each student has.

Kid 2 in School of Rock (12:05):
“I can also play clarinet, you know!”

Jack Black in School of Rock (12:06):
“I’ll find something for you when we get back from lunch. I’ll assign the rest of you killer positions.”

Mandy Jansen (12:13):
And the film culminates in a performance of a collaborative song that they all wrote and performed together. And the students experience that collaboration and teamwork and creating something beautiful is much more important than winning first place. And finally, one of the songs that the character sings in the film is “Math is a Wonderful Thing.” Can’t beat that.

Dan Meyer (12:40):
All right. That’s tough. That’s tough. So here’s the deal. What we have right now is just a quick minute—so Bethany, you ranked, we all ranked our own faves here outta the list of eight. And Bethany put Jack Black in School of Rock a bit higher than Tina Fey in Mean Girls.

Bethany Lockhart Johnson (12:54):
Missed the piano part though.

Dan Meyer (12:55):
And Chris, vice versa here. So Bethany, would you start us off and just make a quick case here for Jack Black versus Tina Fey?

Bethany Lockhart Johnson (13:01):
OK. So here’s what I’m thinking. There’s been rumor that maybe they’re putting less than credentialed people into classrooms to fill teaching gaps. I mean, just rumor. And so here’s this guy who is a rocker. He is not a substitute. He has no teaching training. And yet he goes in there and it turns out that he has the ability to see students’ potential and to recognize their unique abilities. And like Mandy said, he really tapped into, like, he saw them and said, “No, more is possible for you than what you think is possible.” And there’s like real sub anxiety. When you walk in, you can either be like, happy there’s a sub, but I was usually really nervous. Right? And he goes in and he makes that classroom into a home.

Dan Meyer (13:53):
Wow.

Chris Nho (13:54):
Wow.

Dan Meyer (13:56):
Chris, speak on it. Tina Fey needs you. Chris.

Chris Nho (13:59):
Tina Fey. Here we go. I’m gonna argue here that—when was that movie made?

Dan Meyer (14:03):
T is for terrific. I is for Interesting.

Chris Nho (14:06):
Decades ago. And I’m gonna argue that Tina Fey was very progressive for her time. OK, let’s talk about social emotional learning. Hello. <Audience laughs> Love that. Right? Stand up if, I mean, she’s getting people to talk about their emotions. And there’s a curriculum. But let’s just pause, because that’s not what’s really happening in the classroom right now. So social emotional learning, I think she’s, she’s got that a lot. And then number two, you know, if you remember the plot of Mean Girls a little bit, she gets her name written in that Burn Book. Like she sees what they say about her. Restorative justice. Let’s go. <Audience laughs>.

Dan Meyer (14:38):
Whom amongst us. Yes.

Chris Nho (14:40):
You write Mr. Nho in the Burn Book?? Well, your grade book is gonna look like a Burn Book! OK? <Audience laughs> Tina Fey, Tina Fey, she was like, “No, you know, know what? I’m actually gonna spend more time with you. You’re gonna become a mathlete.” And Lindsay Lohan discovers—she drops the most iconic line in all of math education. “The limit does not exist.” Thank you, Tina Fey, for that. For that gift.

Dan Meyer (15:04):
Bless. Bless you. Tina Fey. Wow.

Bethany Lockhart Johnson (15:05):
Oh, man. Wow.

Dan Meyer (15:09):
Let’s see what the people say here. I do wanna just add one quick thing about—it’s interesting to me how often in these movies—just kind of go in a little bit, zoom out just a minute—how often it’s a teacher who has no training as a teacher. <Bethany laughs> I am kind of curious why it is. Like, those are the movies that get hot, that get made. Again, these are all kind of a mirror of the taste of the moviegoing public. You know what I’m saying? Like, these, these are not movies—I wanna believe they are made for me and for us as teachers. But they are not. There’s not enough of us to justify, you know, Jack Black’s, you know, M&M budget or whatever he’s got going on in his trailer or whatever. That needs to be for everybody in middle-class America. So what is it about middle-class America that wants to see teaching as something that anybody can do? Just like, you know, just, just run up there in your van and make it happen.

Bethany Lockhart Johnson (15:54):
Magic magically manifests.

Dan Meyer (15:56):
Yeah. Manifest. Yeah. That’s just interesting to me. I just toss that out there as some red meat. Let’s see what the people say here. All right, OK, so you’re ready. Let’s get the bracket going here. The question is Tina Fey versus Jack Black. You had a moment here. Just whisper to someone real fast who you’re going for here real quick. What are you thinking here? <Crowd murmuring> All right. Crowd’s buzzing. Crowd’s buzzing. Would you folks…? All right. Bring it back. Go ahead and make some noise for Tina Fey. <Crowd cheers> OK. OK. Make some noise for Jack Black! <Crowd cheers> Judges say Tina Fey. Tina Fey moves on. All right. All right.

Chris Nho (16:44):
Stunned. I’m stunned. I’m speechless.

Bethany Lockhart Johnson (16:46):
Tina Fey moves on. Wow.

Dan Meyer (16:48):
This has exceeded my expectations in terms of having some fun, but also getting deep, getting deep and real about teaching. I’m into this right here. Yeah. What’s up?

Bethany Lockhart Johnson (16:54):
That’s the goal. That’s the goal. OK. You wanted blood? Oooh, this next matchup might just be where that blood comes forth! OK. Stretch. Warm up. Dan Meyer, who’s up next?

Dan Meyer (17:11):
We’ve got the animated/animatronic round here in the Southeast. And repping the two contestants here, who do we have? We have Allison Hintz, professor, author outta Washington, as one of the two nominators. And the other nominator is one of my heroes, though we’ll find out very wrong about this nomination, Jenna Laib, who’s in the crowd, and I’m trying not to make eye contact here. <Laugh> And here are the two nominations. A couple minutes each. And then we’ll chat about it. And one of us will probably die. But we’ll see how it goes.

Allison Hintz (17:50):
A long, long time ago, in a galaxy far, far away, MTL, we began learning from the Jedi Master of Teaching. With the Socratic and experiential approach. With unparalleled mindfulness, compassion, and humility. The best teacher in TV and film, Yoda is. <Audience laughs> Yoda lives the values we share as teachers and learners. He humbly comes alongside us as we construct new knowledge.

Yoda (18:29):
“You must unlearn what you have learned.”

Allison Hintz (18:32):
Yoda allows us to struggle and sees mistakes as critical to learning.

Yoda (18:39):
“The greatest teacher, failure is.”

Allison Hintz (18:43):
Yoda values curiosity and reminds us of the beauty and joy of teachers learning from children.

Yoda (18:52):
“Truly wonderful, the mind of a child is.”

Allison Hintz (18:59):
MTL! Join the Resistance! Let the force flow through you in declaring, the best teacher in TV and film, Yoda is.

Dan Meyer (19:18):
Give it up for Allison Hintz! All right! <Audience applauds>

Bethany Lockhart Johnson (19:20):
Alison! And to have that on hand too, which Is kind of perfect.

Bethany Lockhart Johnson (19:26):
Just to be clear, the helmet is not a part of a Zoom background.

Dan Meyer (19:29):
You may evaluate the quality of the nomination based on the costumes of the nominator. That is acceptable. That’s acceptable.

Bethany Lockhart Johnson (19:35):
That is a REAL HELMET.

Dan Meyer (19:35):
All right. The next nominator here, this one is from Jenna Laib, math coach, all-around stellar human. Here we go. This is Ms. Frizzle.

Ms. Frizzle (19:42):
“Single file, class. Our rotten field trip has only just begun.”

Jenna Laib (19:47):
And I think that the best teacher from TV or movies is Ms .Valerie Frizzle from The Magic School Bus. First and foremost, Ms. Frizzle believes in her students. She encourages them to take an active role in their learning, and also to advocate for change in their local community. For example, there’s an episode where there is a logger who’s gonna cut down a rotting log that would benefit the local ecosystem. And the students figure out a way to convince him to leave the log so that all of the animals and the plant life can benefit. She orchestrates really challenging situations for these students, and she allows them the space to ask questions and engage in problem-solving and puzzle their way out of these really, really difficult scenarios. Ms. Frizzle has unmatched pedagogy. She’s bold, she’s innovative, and she’s a major proponent of experiential learning. So these students are heading straight into a storm to learn about weather systems. <Audience laughs> These students are heading into the human body to learn about digestion and disease. They literally get baked into a cake to learn about some chemistry and reactions.

Children in The Magic School Bus (20:54):
“What’s happening?” <Audience laughs> “Why is it suddenly getting so hot?” “Maybe it’s because the floor is on fire!” <Audience laughs>

Jenna Laib (21:02):
This pedagogy is all led by her outstanding catchphrase, which is:

Ms. Frizzle (21:06):
“Take chances; make mistakes; get messy!”

Jenna Laib (21:14):
From her pedagogy to the classroom community that she creates, Ms. Frizzle is an inspiration, and that is why I think that she is the best teacher from TV or film. <Audience applauds>

Dan Meyer (21:25):
Right on! Give it up for Jenna. Give it up for Jenna. All right. I’m gonna take first pass at this. Chris knows my argument already, so I’m gonna take this here. I see some of you are feeling how I’m feeling on this one. OK, so I don’t have tons to say in favor of Yoda. I think it was all true what Allison said. I think the costume was banging. It was awesome. So there’s all that, but I have more to say against Ms. Frizzle than for Yoda.

Bethany Lockhart Johnson (21:48):
No, no, no. Wait a second!

Bethany Lockhart Johnson (21:49):
Let’s let it happen. Bethany, I’ve come prepared.

Dan Meyer (21:54):
I may have made a misstep here, I realize.

Bethany Lockhart Johnson (21:56):
I’ve come prepared.

Dan Meyer (21:56):
So I think Jenna is all correct. I think those clips spoke for themselves. I think that what they add up to, to me, is not “great teacher,” but more “someone who should be locked up.” <Audience laughs> Or at the very minimum, “someone who should be kept away from children.” <Audience laughs> Do not let that woman around children. I mean, check it out. Look, I don’t wanna throw down credentials. I’ve been to grad school, though. I know how this works. When your brain is stressed, you get these—all the cortisol happens. Your working memory shrinks up. You cannot learn when you’re stressed. And those kids, like whatever lesson Ms. Frizzle is teaching by sending them into an oven, I repeat, an oven <audience laughs>, like, they’re not gonna learn anything ’cause their brains are freaking out with stress and fear. OK?

Bethany Lockhart Johnson (22:41):
“What’s happening??”

Dan Meyer (22:43):
“What’s happening? Am I on fire? Well…I’m learning lots, though! Sure is magical!” <Audience laughs> It’s like, “No. Get that woman out of a classroom.” That’s my opening and closing argument. Right? There’s all it is.

Chris Nho (23:01):
All right. All right. All right.

Bethany Lockhart Johnson (23:02):
Chris knows.

Chris Nho (23:03):
I’ve got, I’ve got lots to say. First off, I think Dan was in charge of the editing of those video clips. So let’s let that be—you know, let the record stand. <Audience laughs>

Dan Meyer (23:11):
Where’s the lie though? Where’s the lie?

Chris Nho (23:14):
And, you know, second, I think, um—this is the guy up here saying, “I wanna see blood.” You know? And then he has a teacher who literally takes the students into a blood cell and, and you get a little scared! You get a little worried for the students, you know? So I just don’t get it, Dan. This or that. OK? I think Ms. Frizzle—so I actually went to a project-based learning school. I taught at a project-based learning school. And the best thing about it is like, your learning, it doesn’t just stay in this box of math lesson or writing lesson, history lesson. And I think with Ms. Frizzle, like you can’t help but learn things because you are getting baked in a cake. <Audience laughs> Yeah, it is a little scary. And I imagine there’s cortisol and things happening, but guess what? Probably the next episode, they go into their own brains and explore what’s happening. That kind of thing. You know?

Dan Meyer (24:07):
The kids that survived, just be clear. <Audience laughs>

Chris Nho (24:10):
Yeah. OK. Would I want Nora, my three-month-old, to be babysat by Ms. Frizzle? Maybe not. <Audience laughs> But what I have to say about Yoda is Yoda maybe wins the best tutor award. Give it up for Yoda’s Best Tutor Award.

Bethany Lockhart Johnson (24:24):
Oh, yeah…

Chris Nho (24:25):
That ratio’s looking really nice. I could teach the heck outta Luke Skywalker. OK? But 20 little Luke Skywalkers running around. I’m not sure. OK?

Dan Meyer (24:34):
Luke did survive the training, though. <Audience laughs> So that’s awfully nice to say about it. All right, Great words from Chris here. I’m still not convinced. We’ll see how you’re convinced here. Would you whisper to someone where you’re leaning here? Frizzle or Yoda? <Audience buzzing>

Chris Nho (24:47):
I tried. I tried.

Dan Meyer (24:53):
All right. That’s enough of that. Let’s hear it folks. Give it up for Yoda. <Audience cheers> Give it up. Give it up. You. Give. It. Up.

Chris Nho (25:05):
Hey, next. Next.

Dan Meyer (25:06):
All right. All right, all right. <Mutters> Give it up for Ms. Frizzle. <Audience cheers louder> I dunno, it’s pretty close. Call a tie. Maybe Yoda? Yoda by nose? <Audience laughs> All right. All right. Let’s…let me see who’s it. Let’s get the people advancing here. I’ll keep on moving here.

Chris Nho (25:26):
As you’re doing that. Um, Dan ranked Ms. Frizzle last in his personal ranking. And I ranked Ms. Frizzle very high, so we knew this one would be spicy,

Bethany Lockhart Johnson (25:36):
<laugh> Spicy it was. Are you having a good time so far? <Audience cheers> So while we love seeing these images and we love seeing these video clips, at the core, what are these things about how teachers are portrayed? And how accurate is that to our real lives? I mean, besides the cake part, right? That my chemistry class did often feel like I was on fire. I was so stressed in it. Um, we’re ready?

Dan Meyer (26:05):
Yep. Great. We’re ready, we’re up here. So the next two nominees are coming to you folks from Tracy Zager, who is the editor of my book, forthcoming in 2027 at the earliest and 2032 at the latest. And also your very own Zak Champagne from Florida, here in the room. Hey, Zak. Zak, let’s see who the nominations are. I’m gonna skip past that, didn’t work out so well for me. Here it is. This is Marshall Kane from the TV show Community.

Michael K. Williams in Community (26:32):
“You two complete your case to the class and let them decide your grades.”

Joel McHale in Community (26:37):
“Professor, thank you.”

Michael K. Williams in Community (26:40):
“It’s not a favor, Mr. Winger. Man’s gotta have a code.”

Joel McHale in Community (26:44):
“Awesome.”

Zak Champagne (26:46):
This is a pitch for an underdog. This teacher didn’t stand on desks or encourage his students to follow their musical passions. In fact, this teacher was seen only in a few episodes of my favorite TV show of all time, Community, Community has set at Greendale Community College in Colorado. And in season three, we get to meet Dr. Marshall Kane, a biology professor whose story is an inspiration to anyone who just takes the time to look and listen. Dr. Marshall Kane slowly earned his PhD while in prison, serving a sentence of 25 to life. In his classroom, he inspires students to love biology, question why LEGO has become so complicated, and randomly pairs his students for group projects to ensure no one feels left out. His greatest performance comes when a group of students believe their yam project was intentionally sabotaged. Dr. Kane took this as an opportunity for some trans-disciplinary real-world learning. So yes, at community college, he felt that a middle-school mock trial was the best way to determine who killed the yam. So let’s all pick the underdog and vote for Dr. Marshall Kane. After all, man’s gotta have a code. <Audience goes “oh!” and applauds>

Dan Meyer (27:53):
Thank you, Zak.

Bethany Lockhart Johnson (27:54):
I have a code.

Dan Meyer (27:56):
Next up is Tracy Zager, nominating an unusual nomination, not a single person, but an ensemble performance. A bunch of people from a movie called Searching for Bobby Fisher. Here we go.

Rapid-fire movie dialogue (28:11):
“What’s that?” “Schleimann attack.” “Schleimann attack? Where’d you learn that from, a book?” “No, my teacher taught me.” “Aw, your teacher. Well, forget it. Play like you used to, from the gut. Get your pawns rolling on the queen’s side.”

Tracy Zager (28:26):
Hey, Math Teacher Lounge. This is Tracy Zager. I’m excited to share my nominee for the best movie teacher. But I have to admit that when I first got the email, I thought, oh, who am I gonna nominate? Because most movies about teachers are highly problematic. They usually have like a saviorism thing, usually white saviors. And I just felt like I couldn’t suggest any of those. So rather than nominate a movie about a single teacher, I wanted to nominate a movie that taught me something about teaching. And that movie is a deep cut. It’s Searching for Bobby Fischer. It’s a movie about a chess prodigy. And what I love about it is that all of the different adults in the movie are in teacher roles in some way. And the student, Josh, the chess player, is a fully realized character, not an empty pail, who pulls from the strengths of each one of those adults while also dealing with their flaws and humanity. And there’s just beautiful synergy in the way he gets the best out of everybody, but also has to overcome some of the barriers that they put in front of him. So I feel like it’s a much more authentic and humbling, but also inspiring, movie about the power of teaching. So if you haven’t ever seen it, check it out. And I can’t wait to see who the other nominees are. Thanks so much.

Dan Meyer (29:53):
Right on. Thank you, Tracy. Wherever you are. <Applause> We’ll move a little quicker here. I’m curious, Bethany, you put Marshall Kane pretty high. I put Bobby Fischer pretty high. What do you have to say about Marshall Kane for us here?

Bethany Lockhart Johnson (30:04):
Well, I just wanna say two things. One is that, like Zak said, he has this code of conduct that he brings in. And he stays true to it no matter what happens. If you saw him in in Community, you know that he held himself up to such high esteem, but not just himself, his students as well. And he took accountability when he felt he had done wrong, even though, well, that’s controversy. But first—oh, the other thing, rest in peace, Michael K. Williams. Oh my gosh. The actor who plays Marshall K. And the thing that I wanna say most of all about it is that he brings his whole self to the classroom. He was in prison for decades. He brings his whole self and says, “This is who I was. This is who I am today. And this is how we can work together as a community.”

Dan Meyer (30:58):
That’s big. I love your comments about code of conduct too. It makes me wish that Ms. Frizzle had a code of conduct also.

Bethany Lockhart Johnson (31:05):
I knew that was coming back!

Chris Nho (31:06):
Two slides ago, Dan. That was two slides ago.

Dan Meyer (31:08):
Can’t let it go. So yeah, I love what you said there. I have no strong beef here either way. Bobby Fischer’s a movie I have loved dearly and can’t be objective about it. I love that the kid in that movie, more than any other movie here, the kid teaches the adults so much through his innocence and how he challenges them and how they’re treating him. Dig all that so much. Will not, will not begrudge anyone any vote either way here. I do begrudge many of you your vote in previous rounds. <Audience laughs> So let’s just, let’s hear. We’re not gonna ask you folks at all to chitchat. We’re gonna move on this one. So would you folks make some noise here for Marshall Kane in Community? OK. OK. And would you make some noise here for Bobby Fischer, the kid in Bobby Fischer, the ensemble? <Audience cheers, applauds>

Bethany Lockhart Johnson (31:56):
Marshall Kane.

Dan Meyer (31:57):
Marshall Kane takes it. All right. Good job, Marshall Kane! All right. Zak’s feeling good. Moving on to the final four here, Zak, right on. OK. Our last—the Northwest Division here is also the large urban district division here. We have a couple different teachers in sets of large urban schools. They’re nominated, they’re advanced by a couple people here. One is past president of NCTM, Robert Berry. And another is Fawn Nguyen, Southern California phenom. Great teacher and friend of lots of us. Um, let’s see who they nominated here. First from Robert Berry, let’s see, who is it here? Janine Teagues from Abbott Elementary.

Abbott Elementary dialogue (32:37):
“Hey, you know what? I’m probably probably gonna be Kenny’s second-grade teacher. Why don’t you just let him get a head start with me today?” “That’d be great.” “Yeah? OK. Hey, Kenny, would you like to be in my group today?” “Not really.” “That’s the spirit.”

Robert Berry (32:54):
My nomination is gonna be Quinta Brunson, the Emmy Award-winning Quinta Brunson from Abbott Elementary. Janine Teagues is the character. She exemplifies care not only from an affect way, but she also exemplifies care in the things that she does for her students. While the scenes in the show are entertaining, they do represent the challenges that teachers experience when they’re trying to meet the needs of her students. So she goes, goes all out for her students and finding resources. She accesses other people to get resources for her students. But the care shows up in the way that she is mindful of their needs. And so, for me, when I think about teachers and teaching, sometimes we can talk about pedagogy, but sometimes we also can talk about those kind of intangibles that makes a teacher a great teacher. It is apparent from her students that she cares about them, she supports them, and she goes all out 100% for her students. Janine Teagues, Quinta Brunson is, I think, is my choice of the best teacher on television because of the realism and the representation that she brings to this character of what teaching is about. <Applause>

Dan Meyer (34:28):
Right on. Right on. OK. OK. Next up, we’ve got, Fawn Nguyen is nominating Erin Gruwell from Freedom Writers. Here we go.

Hilary Swank in Freedom Writers movie (34:39):
“Look, you can either sit in your seats reading those workbooks or you can play a game. Either way, you’re in here till the bell rings. OK? This is called the Line Game. I’m gonna ask you a question. If that question applies to you, you step onto the line and then step back away for the next question. Easy, right? The first question. How many of you have the new Snoop Dog album? <kids move around> OK, back away. Next question. How many of you have seen Boys in the Hood?”

Fawn Nguyen (35:26):
We all learn about Miss G and her 150 students in the movie Freedom Writers starring Hilary Swank. All great teachers share a common set of traits. They care deeply about their students, have high expectations of them, and always believing wholeheartedly that they will succeed. Great teachers go above and beyond, not because they extraordinary—as Anne Gruwell would always refer to herself as an ordinary teacher—but because extraordinary things happen to people when we believe in them, give them hope, help them write their own story with a different ending. So what stood out for me with Miss G is the scope of her reach, the ever-expanding sphere of her humanity. The red tape she had placed on the classroom floor for the line game shows just how much we all have in common despite our differences. Her students didn’t just learn from her; they learned from one another. If you’d like to be part of this expanding sphere to give voice and hope, please check out Freedom Writers Foundation dot org.

Dan Meyer (36:38):
OK. This right here is a tough one for us. Thank you, Fawn. We collectively ranked—that’s our number one seed and number eight seed, which I hasten to say does not have to do with Erin Gruwell, a person, but the portrayal and the movie. So we don’t have like a whole lot of…there’s not a lot of defense we have to offer here of our eighth seed. And I heard like a kind of a little bit of a murmur over the crowd on Erin Gruwell. So I’m more interested than having a defense back and forth. I’d be curious what you, Bethany, think about what, like, what both movies have to say about like, what teaching is, especially teaching urban schools with black and brown kids and lower-class kids, for instance. They both have, I think, very different things to say about them. Do you have thoughts about that?

Bethany Lockhart Johnson (37:19):
Well, it’s interesting because there is some overlap in the sense that the arguments that both Fawn and Robert Berry put out, they both care deeply about their students, right? We’re not gonna argue that. They care deeply. And something that I would say about Miss Teagues is there’s something about the way that she sees not only her classroom, her students, but she sees all of the students in the school as her students. And her idea of resource generation is really helping the teachers to generate resources from their community themselves, and to also realize that the students see themselves reflected in the teachers. And I think that—you know, again, this is not about the real person—but the movie portrayal, and we often see kind of this, for Freedom Writers, we often see this like, Great Last Hope whisked in and her personal sacrifices are what makes these students, these brown and black students’ transformation possible. Because of her sacrifices. Including her marriage. Including, you know, three jobs. And it’s just portrayed in a way that I think really celebrates her sacrifices rather than what the students have already brought—they already come into the room bringing so much as they are, already, without her intervention.

Dan Meyer (38:38):
I love the portrayal of the teacher as part of a community of teachers. Versus in so many of these movies, it’s the teacher as the only person who gets it, you know, oftentimes coming from outside of the world of teaching and everyone’s against them and wants ’em just to fall in line and do the thing we always do, and they’re the outlier. But in Abbott Elementary, it’s like we all rise and we fall together. And teachers are investing in each other’s success, especially with Gregory the longterm sub. We’re all rooting for his, you know, his flourishing. I love that. And yeah. That’s bigtime.

Chris Nho (39:09):
Yeah, I think one interesting thing is that Freedom Writers, when it came out, I think it was like a commercial success.

Bethany Lockhart Johnson (39:17):
Oh, big time. Yeah. It was.

Chris Nho (39:18):
It probably influenced a lot of people to try teaching out. So I do wonder what it says about us, right? Like that we want teaching to fit this narrative, and we wanna be those people who could go into a classroom and <puts on “cool voice”> “Y’all listen to Snoop Dog?” and just have that question HIT. <laughter> And you know, I’ve taught in a large urban school district, and I’ve been that person and I’ve seen other people try and be that person. And I think stepping away from it a little bit, just—it’s a reflection of what people want out of teaching and what they think better education looks like.

Dan Meyer (39:57):
Yeah, yeah. This idea that, so I’m a middle-class person, let’s say, and like, there’s this idea, like, “I know what I would do if I was going into circumstances of impoverishment.” Like I have—

Bethany Lockhart Johnson (40:06):
“All they really need is…”

Dan Meyer (40:07):
…for me to give ’em some real talk and tell ’em, you know, pull their pants up or whatever, listen to Snoop Dog, that kind of thing. And that will be the key. And that’s not how it is in, you know, in Jack Black in School of Rock or Tina Fey school, which are, you know, coded as largely like upper-class or largely white schools. And in those movies, it’s interesting, like how it’s about students discovering themselves, oftentimes. And the central figures are often students. And the students need to reject an oppressive parent figure or something and find themselves. But no, in Freedom Writers, it’s like, “You need to become more like the middle-class teachers who are coming in here to give you this wisdom.” It’s just interesting. I do find it—a pet peeve of mine is when movies portray teachers as only successful if you endure, for instance, the failure of your marriage, or even in Stand and Deliver, for instance, like Jaime Escalante, they depict him having a heart attack. And, like, the job oughta be…easier. <Audience laughs>

Chris Nho (41:04):
Truth.

Bethany Lockhart Johnson (41:05):
That’s the barometer for how much….

Dan Meyer (41:09):
Like, no heart attacks and no divorces related to the job, that kind of thing. I do love how in Abbott—one last thing and we’ll vote and Abbott will win <audience laughs>—is like how, like there, there is a lot of degradation in Abbott, but it’s not a divorce or a heart attack—it’s the petty indignities of asking a student, “Do you wanna hang with me?” And a student says, “Nah, not really.” And that just spoke to me like how it’s not cinematic, but teaching, successful teaching, is like a collection of developing an immunity to students saying, “You’re not hot.” <Laugh> You know? And so I love that. I do wish that there was more depiction of students in Abbott Elementary. It’s a lot of adult stuff. Whatever. Give it up for Abbott, if you would, please. Let’s just get this done here. All right. That’s plenty. That’s plenty. Not gonna ask folks about Freedom Writers. OK, let’s move on to— all right, let’s hear it for Freedom Writers! Yeah. OK, cool. We go, yep.

Chris Nho (42:05):
Plot twist!

Bethany Lockhart Johnson (42:07):
OK, let’s see our final four. Cut and paste. Real time. Real time.

Audience member (42:12):
Where’s Dolores Umbridge?

Dan Meyer (42:14):
Oh….

Bethany Lockhart Johnson (42:16):
Hey, did you hear that? He said, “Where’s Dolores Umbridge?”

Dan Meyer (42:20):
All right. OK.

Bethany Lockhart Johnson (42:20):
See, we missed so many. We could…

Dan Meyer (42:21):
So coming up here, we’ve got in the Eastern Conference, Tina Fey and Ms. Frizzle. Y’all know how I feel about that one. Let’s just get this one done. OK, let’s give it up for Tina Fey. Let’s hear it. <Audience cheers> OK. All right. Yes! Let’s give it up for menace to children everywhere, the terror, the Ms. Frizzle. <Audience cheers> One more time for Tina Fey. Let’s hear it. <Audience cheers> One more time for Ms. Frizzle. Let’s hear it. <Audience cheers>

Bethany Lockhart Johnson (42:59):
Yeah. OK.

Dan Meyer (43:00):
It took ’em one round, but they made the right call in the end. <Laugh>

Chris Nho (43:04):
All it took was 10 minutes of constant Ms. Frizzle-bashing. <Laugh>

Dan Meyer (43:09):
Persevering and problem-solving, that’s my game. Yes. All right. So, do either of you want to influence the audience one way or the other?

Bethany Lockhart Johnson (43:16):
That’s not how I play, Dan.

Dan Meyer (43:18):
Oh, OK. Yeah, that’s true. That’s true. You’re good. On Abbott versus Marshall Kane, should we just let ’em have it? All right. All right. Give it up For Abbott Elementary. Not bad. And for Marshall Kane. OK. OK. I hear Zak and five other people. All right, cool. <laugh> Right on. All right. We got our, we got our finals,

Bethany Lockhart Johnson (43:45):
We did it. We made it to two. And we know: We left out a lot of people. Right? And honestly, I kind of wish we could poll like everyone. I mean, think you put it on Twitter, right? Like, who would you pick? But I would say we had a pretty solid eight there. I’m excited to see who… Look at the little crown he put, you guys. Come on.

Dan Meyer (44:05):
I worked hard for you. For you. <Laugh> Yeah. I liked that it was a good bunch that had a lot of different kinds of qualities…and lack of qualities in some cases. And it allowed us that—I shouldn’t knock her while she’s down, and she IS down, it’s true. <Laugh> And I appreciate the conversation we’ve had, what they have revealed overall about teaching and what the world wants teaching to be versus what it actually is or actually should be. I appreciate that. So let’s settle this here. Give it up, if you would, for Abbott Elementary. <Audience cheers> And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (44:49):
Wow.

Dan Meyer (44:51):
That was close. I almost give that to Tina Fey.

Audience member (44:55):
Yeah, we do!

Dan Meyer (44:55):
I don’t know. That was a bracket-buster for me right there. Yeah. I lost money in the office pool off that right there. Maybe let’s just find out one more time here. One more time.

Bethany Lockhart Johnson (45:03):
Last time.

Dan Meyer (45:03):
Time to summon up all your conviction on one or the other here. No half-measures right now. All right.

Bethany Lockhart Johnson (45:07):
Emmy Award-winning Quinta Brunson.

Dan Meyer (45:09):
Yeah, you saw Robert Berry on that, right? He was like, “Oh, I got one more card to play. Emmy Award-winning.” That’s admissible. That’s admissible. We’ll take that. All right. So…give it up for Abbott Elementary, one last time. <Audience cheers> OK. All right. All right. And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (45:30):
Drumroll, please!

Chris Nho (45:33):
Best teacher is….

Dan Meyer (45:34):
Tina Fey in Mean Girls! Yeah. Not a bad pick.

Bethany Lockhart Johnson (45:39):
I love it. And I think, too, I think we’re gonna have a little bit of a more reflective lens than we thought we did when we see depictions of teachers in film and television. And, you know, hopefully we’ll see some new tropes come in, right?

Dan Meyer (45:55):
Yep. Yeah. Every dollar we spend on movies with lousy teachers is just encouraging these people to make more lousy teacher movies, you know? Awesome. Thank you for being here for a live taping—

Bethany Lockhart Johnson (46:06):
Thank you for being here.

Dan Meyer (46:06):
—of our podcast, Math Teacher Lounge, in a hot room. Appreciate that. Yeah, it’s been fun for us to have you here. Um, super-important, super-important final remark: Bethany loves Oprah and Oprah occasionally, in the show—

Bethany Lockhart Johnson (46:18):
Is she coming?! Is she here?!

Dan Meyer (46:19):
Not here! Not here! Calm down. Calm down. Um, but we do have in Oprah fashion, not something—

Bethany Lockhart Johnson (46:24):
Oh. Oh, OK. Oh, that’s, that’s OK. Sorry. I got, had really excited for a second. As if the Amplify playing cards, The Amplify t-shirts being chucked at you at high speed—I did try to get a t-shirt cannon, and that was quickly ruled out <laugh>. They didn’t know about my rocket arm, right?

Dan Meyer (46:46):
Yeah, you got a cannon. <Laugh>

Bethany Lockhart Johnson (46:47):
Yeah. Oh, that’s a compliment. Oh, is that a compliment? Thank you, Dan. Thank you. Look under your seat because we have five winners. We wanna thank you for being here in person. We wanna thank the folks who are listening. We wanna thank Amplify. Oh my God. Somebody just pulled off the chair tag. You get to take that chair home with you.

Dan Meyer (47:08):
Does anybody have a prize?

Bethany Lockhart Johnson (47:10):
OK, stand up if you…stand up if you…Yes! Stand up if you have one!

Dan Meyer (47:16):
Free set of classroom dry-erase boards, right here. Congratulations.

Bethany Lockhart Johnson (47:22):
And for you who pulled off the chair tag, I don’t know. We gotta we gotta find something for you.

Dan Meyer (47:27):
Put that in your backpack.

Bethany Lockhart Johnson (47:30):
Thank you again for being here. Thank you. Amplify. Thank you, Desmos. Thank you. Dan Meyer.

Dan Meyer (47:36):
Thank you folks. Chris, thank you buddy.

Bethany Lockhart Johnson (47:38):
Chris! Chris Nho, everybody!

Dan Meyer (47:40):
We will be, we will be at—Bethany and I will be at the booth, if you wanna chit-chat and hang out, sign some stuff. Whatever. You wanna have Bethany sign you, she’ll do that. Um, come on down to the Amplify booth and we’ll—

Bethany Lockhart Johnson (47:50):
We’ll talk to you more about Ms. Frizzle.

Dan Meyer (47:52):
Fun and prizes. I will share with my real thoughts about Ms. Frizzle down there. I’d love to see you. Thanks for being here, folks.

Bethany Lockhart Johnson (47:57):
Thanks for listening. Bye.

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What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer—or don’t offer—now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S5-03. Cultivating a joy of learning with Sesame Workshop

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Listen as we chat with Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop! Continuing our theme of math anxiety this season, we sat down with Dr. Truglio to chat about Sesame Street and her thoughts on how to spread a growth mindset to young children and put them on course to academic achievement and long-term success.
 
Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Dr. Rosemarie Truglio (00:00):
Children don’t come with this math anxiety. Math anxiety is learned.

Bethany Lockhart Johnson (00:07):
Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:11):
And I’m Dan Meyer.

Bethany Lockhart Johnson (00:12):
Hello, Dan Meyer.

Dan Meyer (00:14):
Great to see you, Bethany. We are on episode three. Can you believe it?

Bethany Lockhart Johnson (00:18):
So, I feel like we’ve just started scratching the surface about math anxiety. We’ve talked to two amazing researchers. We’ve talked about what math anxiety is, how it’s often screened for some of the causes, some of the consequences … I mean, we’ve had some good conversations. Dan, what do you think?

Dan Meyer (00:38):
Definitely, I think that the consequences have only grown more dire in my head. I’m not sure how you feel about the consequences. But, you know, it is enough for me that we ask students to take mathematics for much of their childhoods, to worry about their anxiety, taking that. But to hear about from these researchers about all the different things that correlate with math achievement and math anxiety—talking about future careers, certainly, but even some other, more serious lifelong concerns? That gives me a lot of motivation to continue this study of math anxiety here with you on the show.

Bethany Lockhart Johnson (01:14):
It is really widespread. It has a big impact, not only on students, but on parents, on educators. You know, it’s—

Dan Meyer (01:23):
Multi-generational.

Bethany Lockhart Johnson (01:25):
Yes. And you know, so often when folks think of math anxiety, what I hear them say is, “Oh, yeah, in high school is when math really ramps up. That’s when anxiety starts.” But we know that it starts in our youngest learners. And our research has already backed that up. We know it. I’ve seen it in my classroom. You may have seen it with some students you work with. And let me tell you, it starts young.

Dan Meyer (01:52):
It does start early. Right now, I have a son that’s just started kindergarten, and he seems relatively math-positive, but we’ve known from our interviews on this show and other kinds of experiences that oftentimes, that feeling —that math is for me, and I am for math, and we are all friends — can turn on a single moment. It seems like one teacher says a thing that changes a student’s perception of themselves as a mathematician or of math itself. So I keep waiting with bated breath, hoping not to find that one moment that changes our current open posture towards mathematics. So now it’s time to really dive into some strategies for combating math anxiety.

Bethany Lockhart Johnson (02:34):
To help us out, we’ve called on a pretty exciting guest. I am so excited, Dan Meyer! We are being joined by Dr. Rosemarie Truglio. She is Senior Vice President of Curriculum and Content at Sesame Workshop. Sesame Workshop! As in, “Tell me how to get to Sesame Street.” Dan, I have to tell you, I spent many, many hours of my childhood watching Sesame Street. I have to ask, do you have happy Sesame Street memories? Is this part of your formation, Dan Meyer?

Dan Meyer (03:08):
At this point? In my advancing years, and the brain cells that I have left, Sesame Street is really kind of just a vibe in my head. But that vibe is such a pleasant one. One in which like nothing bad could happen. One in which learning is common and normalized and fun. And you just kind of feel at home, constantly.

Bethany Lockhart Johnson (03:33):
I don’t know about the “just the vibe” part, because for me, it is visceral. I’m there. I am actually … I mean, I might still be there.

Dan Meyer (03:42):
You could reenact some of the skits?

Bethany Lockhart Johnson (03:44):
. You didn’t watch Sesame Street with your kiddos when they were younger?

Dan Meyer (03:49):
We watched a lot of Elmo. A lot of Elmo. Yeah.

Bethany Lockhart Johnson (03:52):
Next-generation Sesame Street. Well, I think it’s so perfect that we’re gonna be talking about what Sesame Workshop does to help combat math anxiety and create a positive connection and relationship with mathematics. So I’m really excited to hear what Dr. Truglio and her team have been working on. And here’s our conversation with Dr. Truglio.

Dan Meyer (04:15):
Welcome to the show, Dr. Truglio. It is an honor.

Dr. Rosemarie Truglio (04:18):
Great to be here. Thank you for inviting me.

Dan Meyer (04:20):
You are Senior Vice President of Curriculum and Content at Sesame Workshop, which definitely sounds like the coolest job in the world to both four-year-old me and also Now me. Would you just help us help us with some backstory of how you ended up here, and what you do at Sesame Workshop?

Dr. Rosemarie Truglio (04:38):
Sure. It is a pretty cool job. And I am very fortunate that I’ve been in this position for the past 26 years. So, I am a developmental psychologist, and my job is to help Sesame Workshop identify curriculum needs, so that we could address them in the content that we create on the show and across our various platforms. So, Sesame Street is currently in its 53rd season. And we just, wrapped production for the 54th season, which we’ll debut next fall. And Sesame Street began with an experiment: Can television actually teach children school readiness skills, to have them better prepared for school? Especially those children who did not have access to formal education during the preschool years? And it is what we call a whole-child curriculum, because we’re dealing with all of the school readiness needs. So that that includes the academic needs, their social-emotional needs, and their health needs, as well as what we call these cognitive processing skills—how children learn content. Right? So it’s not just content skills, but how you approach learning and how you actually learn content. So as a grad student, I was fortunate to work at the Center for Research on the Influences of Television on Children. Very special center. It was at the University of Kansas. And my advisors, developmental psychologists, they studied the effects of television on children, both the positive effects and the negative effects. And so part of their research was to actually look at the longterm educational effects of Sesame Street. So I was working with Sesame Street content as a grad student, and then came to New York City. My first job was Assistant Professor at Teachers College, Columbia University. And when this position became available, Director of Research at the time, it was called, I took that job. And so my job was to oversee both the curriculum and the implementation of the curriculum, as well as the research. Because what we know, our co-founder, Joan Ganz Cooney has always said, for Sesame Street to be a successful educational program, production has to work closely with early childhood educators. They are the ones who know the curriculum and, and develop the curriculum goals, as well as the developmental psychologists who actually study how children are paying attention to the content. But more importantly, what are they comprehending from the content? And we all have to work together. Because even though we are the experts, the real experts are the children themselves. So nothing is deemed final until we actually show the children and see what they are learning from the content that we are producing.

Dan Meyer (07:54):
Are you referring to like, test audiences of kids then?

Dr. Rosemarie Truglio (07:57):
Yeah, I guess you could call it test audiences. I mean, I don’t. I don’t like to call it that because I see them as co-collaborators. I don’t see them as a test audience. Because, as I said, they’re the experts. It’s a collaboration. I mean, they’re the experts. And so I wanna know—

Dan Meyer (08:12):
As collaborators. I got it now. Yeah.

Dr. Rosemarie Truglio (08:14):
They help us. So that’s exactly what we tell the children too. So it’s called formative research. You know, we, we do what we call, um, storybook testing, an animated version of a storybook to have some little movement and see are they finding the story engaging, but more importantly, are they picking up on the intended educational lesson that we’re trying to teach in the story. So they are co-collaborators. they’re the ones who are helping us get the story just right for them.

Dan Meyer (08:46):
That’s really exciting, and makes me think about what classes might be like if students were regarded in that kind of lens as well. I just wanna say that my four-year-old self is on this interview as well, and is re-contextualizing all the stuff I saw as a kid. And it just felt like, at the time, you folks turned the camera on and went down to the street and we just had this real natural time. And it’s great to hear about all the intense preparation and co-construction at work and work that went into that time. Yeah,

Dr. Rosemarie Truglio (09:12):
It’s about a year preparation from start to finish. From the start of identifying, “What is the educational need? Is it an academic need? Is it a social-emotional need? Is it a health need? Is it a cognitive-processing need?” And then once we have the need identified, we have what we call a curriculum seminar. We bring in the experts who are studying this topic with preschoolers, because we wanna get it, we wanna get it right.

Bethany Lockhart Johnson (09:41):
Which, by the way, little behind the scenes: How often do you get to go to set?

Dr. Rosemarie Truglio (09:46):
So we’re in a production probably about six weeks out of the year. Covid really messed things up. ‘Cause we have to be really—we have very strict Covid protocols, but there is someone on my team—and sometimes we have to, you know, rotate for availability—but there’s always an educator on set.

Bethany Lockhart Johnson (10:06):
Awesome.

Dr. Rosemarie Truglio (10:07):
Because even though you stick to the script, questions arise; they wanna make changes; sometimes they have to cut; things are running too long and they have to cut and we gotta figure out where to cut. So there’s always an educator on set.

Bethany Lockhart Johnson (10:19):
But sometimes you go and have lunch, like—.

Dr. Rosemarie Truglio (10:21):
Oh, I go, yes. Sometimes I go—

Bethany Lockhart Johnson (10:23):
And just hang out with Big Bird, right?

Dr. Rosemarie Truglio (10:24):
Sometimes I go hang out with Big Bird. No, those are my friends!

Bethany Lockhart Johnson (10:27):
They are!

Dr. Rosemarie Truglio (10:28):
No, no, I go hang out with them. They’re my friends. Yes.

Bethany Lockhart Johnson (10:32):
When I think about Sesame Street and I think about … like, I can’t help but smile. Because I think I have such fond memories of the characters. I mean, we invited them, my mom invited them, into our home, right? And, you know, now I have a two-year-old and there’s no doubt that I’m gonna introduce him to Sesame Street. And I see how it really does feel like the folks who are doing this work, you and your team, you have a deep respect for children. So it makes sense that you call your test collaborators “collaborators,” right? They’re a part of it. And you know, I love that. And Sesame Street makes me smile. However, I’m like, we’re talking about math anxiety. And it’s so interesting, because as Dan and I were talking about our memories of Sesame Street … you know, it’s like Sesame Street feels like there’s not much anxiety. I mean, there are problems, and there’s problem solving, and it’s not like everything is perfect. But we figure it out. And it’s OK to make mistakes and it’s OK to try again. And a lot of times, we don’t see that in the math classroom—or at least, how folks talk about math. So, how do you all think about anxiety, about how to prevent it? Like, when you’re doing your work, you know that math anxiety is a real thing. But then that’s not translated in these experiences and the relationships with math that you’re building with your viewers.

Dr. Rosemarie Truglio (12:07):
Yeah, that’s a really good question, because it’s really easy, because our core audience are two- to four-year-olds and they love math. And what’s not to love, right? Because they are figuring the world out as they’re exploring the world. So you said something really interesting, that when you turn on the TV—when you turned on the TV when you were a child, and now you’re a mom of a two-year-old, we wanna make sure that the show represents content that is relevant and meaningful to our target audience. And that comes through with the characters. So all of our characters have very specific personalities, as all children do. And our characters represent all children, in terms of not only personality, but interest and learning styles, ’cause we wanna see—we wanna make sure that children see themselves in these characters. And we have a character who actually loves math. And he’s The Count.

Bethany Lockhart Johnson (13:12):
I’m like, “I know! I know who it is!” I will save you my impression. Although I have done it for my child. But I’ll save our listeners .

Dr. Rosemarie Truglio (13:20):
And you know, he’s an adult character. Some of our characters are preschoolers, like Elmo and Abby—they’re preschoolers—and Zoe. But The Count is an adult. He lives in the castle and he just loves numbers. But what’s really important is while we have The Count to explain—not explain to, but to portray to children, cause we don’t explain anything; we show children that math is more than number, right? Math is a pretty wide concept. Which is what I love about math. And the other thing about math is math language. The language of math. ‘Cause when we’re teaching children vocabulary words, we’re also teaching children the concept. Be it a math concept or a science concept or a social-emotional concept. So children don’t come with this math anxiety. Math anxiety is learned and it’s unfortunate. It’s picked up by their observations of the adults in their lives, who sometimes say out loud, “I don’t like math,” or “Math is hard,” or even worse, “I’m not good at math.” Or may even label it as math anxiety. That word won’t mean anything to a young child. But it then provides a, whaddya call it, like a negative valence for something that they never felt negative about. Because as they’re growing and interacting with the world, math is all around them. And there’s that sense of awe and wonder and joy, especially as they’re learning and they’re figuring it out. So I think we have to reframe math. Instead of saying “math anxiety,” we have to talk about the joy of math and all the wonderful joys that come with the exploration of these math concepts. Number is great. We know kids love numbers. We know that they love to count and use a big word here: enumerate . Because so many parents don’t make this distinction. They’ll say, “Oh, my child is counting!” Well, there’s rote counting, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, which is important. But then it’s like there’s an item for each number. So it’s one Cheerio, two Cheerios. And then as you point to each number, you are then figuring out what the set is, of the number of objects that you have. And then you get at what I love to call the meaningfulness of math. Right? Number has meaning. And as I said, it’s all part of your everyday activities. It’s part of—it’s in your kitchen; you’re following recipes; you’re measuring; you’re weighing. It’s at bath time, right? You could have the sorting of nested cups and you could, you know, and once again, the math language: big, bigger, biggest. These are relational concepts. You could then count what sinks and what floats, if you’re doing science. And then you could put them in two different buckets, and count. These are the items that sunk and these are the items that float. So math and bath time could be a lot of fun. And then there’s math and music. Music is so rich with math, as you talk about rhythm and tempo and dynamics and pitch and duration. That’s all math.

Bethany Lockhart Johnson (16:57):
The way that you talk about it, it is so rich, right? It is so multi-layered. And you know, I’ve shared on the podcast before: I’ve actually had parents in parent-teacher conferences say that, “Well, I wasn’t good at math either,” or “Math’s really not my thing.” And it’s really—it is, it’s rooted in that fear. And so I do see the way that you’re talking about it; I see that come through in Sesame Street. That, in a lot of ways, it’s reeducating parents, right? Because we hope that our caregivers are sitting next to their kiddo and enjoying it together and having conversations about it later. And there’s a way that parents then are also getting their own sense of what math can be, expanded. And I think there’s such a beauty in that. And I love the way that you talk about that, that you really are looking at, “Well, we wanna celebrate counting and the joyfulness of that. And let’s use math talk, you know, and let’s use these words and try out these ideas.” And it’s not because you’re trying to check some list. But you’re really exploring it and having fun together.

Dr. Rosemarie Truglio (18:03):
And you’re embracing it. And you mentioned the word “mistake.” So often when it comes to math, if you make a mistake—you make a mistake in counting or, you know, we’re not doing a lot of math equations on Sesame Street, but that’s when people feel like they can’t do math. ‘Cause they made a mistake. And that’s something that we are trying to address on Sesame Street, that it’s OK to make mistakes and you learn through mistakes. But you have to have—and I’m gonna come up with this other phrase now—you have to have what we call a growth mindset. What that means is that I may not be able to do this yet. Like, it’s called “the power of yet.” So we know that learning any concept, it takes time and practice. And how do we have children embrace the process, right? So often we focus on right and wrong. Now, there is right and wrong with math, of course. You know, there’s a right answer and there’s a wrong answer. But how do we focus, not on the end product, but the process through which you are engaging in? So let’s talk about measurement. Let’s talk about measuring the length and the width or the height of something. You might make some mistakes along the way, but you’re processing it. My son used to make all of these little structures for all his little play animals. Well, you know, he would measure and think he got it right. And then when he put the animals in, of course, you know, either the animal was too wide or it was too tall. And he would have to redo it. But you’re not redoing it from scratch, you’re redoing it now from experience. “I realize that if I’m gonna put the giraffe in with the elephant, I’m gonna need something wide as well as high.” Right? For the length, tall. And that’s process. And then, for children, when they figure it out, that “oops” and “aha”—the “aha” was like, “I did it!” And it’s so empowering, you know, giving them agency—not swooping in and saying, “All right, I’ll fix it for you. You know, we got the wide elephant and the tall giraffe and I’ll you know…”. NO! Having them do it. And another fun activity is in what we call informal measurement. And that’s like getting something of an equal size. It could be paper clips or it could be same-size blocks, and then measuring how long something is. So if it’s measured by blocks versus paperclips, you’re gonna have a lot more paperclips than you are blocks. And that kind of comparison is so fascinating for children. And so that’s measurement. And now we have counting. Like, how many paperclips long is something versus how many blocks long is something.

Dan Meyer (21:02):
So checking my understanding here, you’ve talked about how caregivers and other adults can transmit math anxiety by naming it and claiming it for themselves. And you’ve talked about, some really exciting ways that adults can involve students and kids in different kinds of math. I’d love to go upstream with you a little bit and wonder out loud, where does this anxiety come from initially? It’s gotta be more than adult one to kid two talking about anxiety, and transmitting it from human to human. What is the original spring from which all this anxiety flows?

Dr. Rosemarie Truglio (21:36):
Yeah. I do think it does—a lot of it does come from the adults in their lives. It’s unfortunate, because there is a lot of math talk about it, right? I can’t do math; I’m not good at math. Even when you’re at a restaurant and you get the bill and someone’s figuring out the tip, I can’t tell you how often it’s like, “Pass the bill, because I can’t do math.” Or if you actually then bring gender into it, you know, “Oh, girls aren’t good at math,” and that’s not true. There’s no evidence of that whatsoever, right? So in the younger grades, there’s no gender difference in terms of math ability. What’s also interesting about even socioeconomic status differences, you don’t see a lot of differences between low-income and middle-income children when it comes to math skills. Where you see differences is children’s ability to talk about their mathematical thinking. So if a child doing a math problem is asked, “How did you solve the problem?”, low-income children don’t often have the language to explain their thinking. So that’s something that we did on Sesame Street, where we focused a lot on what we call math talk. So, not just show number and show doing math, but actually narrate and giving the language. Because math literacy is one of the predictors of overall school achievement. So there’s that. They’re getting it from the adults in their lives. They’re getting it, unfortunately, sometimes from their teachers. But I think the anxiety comes from the fear of making mistakes. Because math, there is right and wrong, and always wanting to get the right answer. So that’s why this whole idea of reframing, and saying, “But really, it’s in the process.” So, you know, my son, math is not his strong suit. And I’ve been doing a lot of growth mindset with him as well. And there was a teacher that he had—I think in like 10th or 11th grade—who said, “In a test, I don’t wanna—I’m not even gonna look at the answer. I wanna see the process through which you GOT to this answer. And I’m going to grade the process. So the process could yield a right answer; it could yield a wrong answer. But you’re gonna get graded on the process. Because I wanna see how you are approaching the problem and how you’re thinking it through.” And I think that is a great example of, maybe, to try to reduce math anxiety. Because if you can get people excited about the process through which you’re learning—and that applies to all subjects, it’s not just math!

Bethany Lockhart Johnson (24:36):
I’m like, that applies to life! Right?

Dr. Rosemarie Truglio (24:38):
That applies to life!

Bethany Lockhart Johnson (24:39):
That’s so spot on. Wow. Yeah.

Dr. Rosemarie Truglio (24:41):
But I think that there’s so much focus on right and wrong, and not really understanding the value of the process. So on Sesame, we’ve been doing a lot of “oops” and “ahas.” You know, we’re gonna make mistakes, but what’s important is what do you DO when you make a mistake? So there’s a great episode with The Count. A couple of years ago. The Count was counting. Something he does every day. A lot of time, every day, ’cause he’s obsessed with counting and numbers. And he was counting an array of items.

Gladys the Cow (25:17):
I need 10 sandwiches all together.

The Count (25:22):
Well, of course.

Dr. Rosemarie Truglio (25:23):
And he made a mistake.

Elmo (25:25):
The Count?

The Count (25:25):
Hmm?

The Count (25:25):
Elmo thinks The Count made a little mistake.

The Count (25:31):
No mistake.

The Count (25:32):
Mm-hmm. Yeah.

Dr. Rosemarie Truglio (25:33):
And first time ever, did he make a mistake. And he fell apart.

The Count (25:38):
I must make sure that that never happens again. So I shall never count again.

Dr. Rosemarie Truglio (25:46):
And that’s an example of showing that, you know, you could get upset when you make a mistake, but what’s important is you gotta come back and you gotta come back to doing what you love. In his case, is counting and letting him know that it was an “oops.” But you learn that mistakes are OK. It’s OK to make a mistake and continue to do what you love.

The Count (26:13):
I must keep trying and you should, too.

Elmo (26:17):
Yeah!

The Count (26:17):
So come, let’s count the carrots together!

Elmo (26:18):
Oh, cool!

Bethany Lockhart Johnson (26:19):
And what a beautiful gift to show kiddos. Show that to kiddos, right? And to the adults. I wanna, you know, really acknowledge it, and say, “Hey look this, it’s OK.” And again, you’re giving them that language. That’s such a gift.

Dr. Rosemarie Truglio (26:34):
Thank you.

Dan Meyer (26:34):
We spend a lot of time wondering why other subjects don’t seem to suffer from this negative perception. And I think you’ve unlocked a lot of that. You’ve mentioned that there are issues that cut across different subject areas, but I think from my own experience and research and interviews, it seems that in ELA and the social sciences, there’s this aspect where you need to come up with a claim and “how are you seeing this?” And there are multiple defensible claims. And I love how you imported that generous pedagogy over into math with this example of a teacher who says, “You know what? It’s about the process here.” Disassociating answer and process.

Dr. Rosemarie Truglio (27:09):
And I think the other thing is like, when children are engaged in a project, for parents to point out: “You’re doing math!” Because they don’t realize that they’re doing math. Once again, math is so often equated solely with numbers and mathematical computations. So it was really interesting—the same is true for science. You know, when we’re talking to parents about the use of everyday—like, going to the supermarket or making dinner or bath time, there’s so much math and science in the everyday. And then when you point it out to them—”you’re doing math”—it’s like, “I’m doing math!” Like, you’re setting the table for a family of six: you’re doing math. That’s called one one-to-one correspondence. “I’m doing math: I’m setting the table.” Yeah, but you’re doing math. You can’t set the table because you have to know how many people are gonna be sitting at the table for dinner. You can’t follow a recipe without doing math. You can’t go shopping without doing math. There’s quantity; you gotta figure out how many peppers you gotta buy, or pounds. “I gotta get a bunch of potatoes and I gotta put ’em in the scale. And I have to get two pounds of potatoes.”

Bethany Lockhart Johnson (28:29):
So your book Ready for School: A Parent’s Guide to Playful Learning for Children Ages Two to Five. First, as a parent of a young toddler, I gotta say it’s such a tool; it’s such a resource. It’s very conversational. And I think about these ideas a lot, both in my work and, you know, just for fun. And yet, even if this wasn’t my chosen field, I still feel like it’s just so accessible. And I wanna flag something.

Dr. Rosemarie Truglio (29:01):
Thank you.

Bethany Lockhart Johnson (29:01):
Yeah, no. Thank YOU. . I wanna flag something that you said in the math chapter You were talking about the joy of math, and you said when it comes to our children, caregivers: “take pleasure in reading stories together, especially at bedtime, which in many households is a regular part of a child’s routine. But somehow the notion of introducing math concepts to our children seems daunting. In fact, some studies have shown that parents harbor a strong belief that while it’s important and pleasurable to support their child’s reading skills, it’s the responsibility of the schools to take care of teaching math.” And that quote, I highlighted it, I starred it! And I would love for you to say a little more about that, because you have given us already, like, a bounty of ideas that as caregivers we can do with our kiddos or the kiddos in our lives. And we’ve seen that even what they’re learning in school, it may not be the freeing, joyful math language that we hope our kiddos have access to.

Dr. Rosemarie Truglio (30:05):
Yeah, I’m glad you brought that up. Because a lot of our focus is on how children learn through playful experiences, and how they learn through play in particular. And there are so many playing, either a game or even playing ideas—like we talked about building, you know, a house for animals or building a fort. It’s just so filled with math. And I wish I could narrate for every young parent how I would hope that they would talk as they are co-engaged in this activity. And I think … we asked about, with the anxiety, the adults have to find the joy in math first. They have to see the math. That’s the problem. That’s why I hope that my book provides that. I want you to know that you are doing math and I want you to know that your child is what we call a mathematician—or in the science chapter, is a STEMist. Your child is already doing science, technology, engineering, and math. STEM is so integrated. So to acknowledge them—because babies are doing math! Babies know, they can distinguish between a small quantity and something that is a of a larger quantity and want the larger. Right? So, it’s natural for them. And they are taking it all in. I mean, the joy of watching a child just early counting: you know, one, two. And trying to then figure out the meaningfulness of two. It’s not three objects. There are actually two. And for a parent to see the joy in that I think is step one. And then to see the richness and how expansive math is, and that power of, oops, “I made a mistake, don’t freak out,” and then [not] say, “See, I’m not good at math,” but say, “Let me try again. I know I could figure this out.” Right? It’s all of that supportive language and supportive experiences that builds this mindset, a positive mindset. So that you hope that when you get into the higher grades, they’re not walking in and saying, “I can’t, I can’t do math.”

Dan Meyer (32:26):
Yeah. Super helpful. I think you point at one of the grownups—great powers in the world of kids, which is to label. To name things. And you know, you’ve talked about how grownups should ideally downplay some of their negative experiences with mathematics for the sake of the kid, but also to play up the positive stuff that they’re doing as mathematics. Like that right there, that’s math. I would love to know … you have an extremely loud megaphone to communicate messages about math and the world and everything through Sesame Street. One of the biggest that there is—and I just wonder if you could step out and imagine you had a magic wand to wave over the world in which students grow up, play and learn—what would you do like to help students have better associations or less math anxiety? And, you know, learn more about math itself?

Dr. Rosemarie Truglio (33:19):
If I had a magic wand, I would give everyone what we call a growth mindset that nothing is fixed and everything can be changed if you put the time and effort into the process, and enjoy the process. The joy of learning. I think, you know, it’s really sad. I don’t wanna be sad on your show. But when we were getting ready for the 50th anniversary, I was wondering, “What is gonna be the curriculum focus?” You know, we just came off of literacy and math literacy and social-emotional development. And we talked about the power of play. Playful learning. And building careers. Give children sophisticated play scenarios so that they could explore what they may wanna be when they grow up. Because there’s a concept: If I can see it, I can play it, I can be it. Right? So where are those portrayals? And it’s like, “What are we gonna do for the 50th?” And I had a convening of experts across all disciplines, and brought them into a room. And I said, you know, “What keeps you up at night? Like, what are you worried about?” Sort of like the State of the Union of Child Development. And this is where the sad part is. They talked about how that sense of joy, that sense of wonder, that sense of curiosity, that sense of flexible thinking and creative thinking, was disappearing in early childhood. Wow. If it’s disappearing in early childhood, we are in big, big trouble . ‘Cause I could see it disappearing later on, you know, as you advance in grade. But what do you mean, it’s disappearing in childhood? And then they talked about the fear of making mistakes. And that goes against—it’s the opposite of a growth mindset. And so we have to bring back that sense of joy, wonder, asking those why questions and embracing them. So it’s another problem parents have. They’re fine with the “why” questions until the “whys” become so difficult they don’t have the answers. And then they don’t want the “why” questions, because now they feel like they’re not smart enough to answer their child’s “why” questions. How do I flip that around to be much more positive and say, “You know, I don’t know! But let’s find out together. Let’s explore together; let’s experiment together.” That’s what I mean about the shift in the mindset, that growth mindset. We should not know all of the answers, but where’s the joy of, “Wow, I don’t know, let’s go find out together”? And that applies to math too. But you have to have that open mindset. You have to—you, as yourself, have to have that growth mindset.

Bethany Lockhart Johnson (36:20):
I love that magic wand. I want that magic wand! And I think what—like Dan said about this megaphone, this opportunity to reach so many young people, so many caregivers—what a gift! And I’m so grateful that you took time to be in the lounge with us, and that you have shared these ideas. Because truly, I think, like you said, it’s really our youngest learners, right? How can we create and cultivate these opportunities for our youngest learners to find the joy in mathematics and just in learning, right?

Dr. Rosemarie Truglio (36:54):
Yeah.

Bethany Lockhart Johnson (36:55):
So thank you. Thank you so much, Dr. Truglio. We are deeply grateful for your insight and for all the work you do. And we continue to invite the world of Sesame Street into our homes.

Dr. Rosemarie Truglio (37:08):
Thank you. Thank you for allowing us to come into your home, and for you to re-learn with your child as you’re watching Sesame Street. Because it’s very much a parenting show, as it is for a child-directed show, because we are blessed to have these wonderful human cast members who are the stand-ins for parents. And so we are often giving you the language for how to talk about and how to problem-solve together. So thank you.

Dan Meyer (37:43):
Thanks so much for listening to our conversation with Dr. Rosemarie Truglio, Senior Vice President of Curriculum and Content at Sesame Workshop.

Bethany Lockhart Johnson (37:51):
Dr. Truglio is also the author of Sesame Street Ready for School, A Parents Guide to Playful Learning for Children Ages Two to Five, and we’re gonna make sure we put a link to that in the show notes because it is really, really a rich resource. I’m diving in. I have so many ideas bookmarked that I wanna try out with my kiddo.

Dan Meyer (38:09):
Yeah, it’s really exciting to see—like, for a classroom educator, I just kinda assumed that a lot of math learning happens in the classroom context. That’s my lens. So yeah, I loved reading the book and seeing all the different opportunities for parents for just out there in the world, in front of your house, at the supermarket. All the different opportunities there are for mathematical thinking, and then to think about how to bring that into some of those routines and ideas into the classroom, into formal schooling.

Bethany Lockhart Johnson (38:35):
Exactly. Exactly. Like Dr. Truglio said, the caregivers’s disposition about mathematics matters so deeply. Your teachers’ dispositions about mathematics, their beliefs, the way that you hear people talking about math, that impacts our learners. That impacts—like, as a student, that impacts what you think is possible for yourself. So I love this, re-educating ourselves about what math can look like out in the world, in everyday conversations. I don’t know. I really, really appreciated this conversation with Dr. Truglio.

Dan Meyer (39:12):
Same. Yeah. We’d love to hear what you folks think about the work. the book, her ideas. Definitely get in touch with us. Subscribe to Math Teacher Lounge, wherever you get podcasts. And keep in touch with us on Facebook at Math Teacher Lounge Community, and on Twitter at MTL show.

Bethany Lockhart Johnson (39:27):
Also, if you haven’t already, please subscribe to Math Teacher Lounge wherever you get your podcast. And if you like what you’re hearing, please leave us a rating and a review. It’ll help more listeners find the show. And while you’re at it, let a friend know about this episode, because you enjoyed it; they might enjoy it. On our next episode, we’re gonna be chatting with Dr. Heidi Sabnani and taking a closer look at best practices for coaching teachers to reduce their own math anxiety.

Dr. Heidi Sabnani (39:56):
One of the teachers that I worked with had done her student teaching with a teacher who had math anxiety and who never taught math. And so she entered her teaching career never having taught math before or seeing it taught.

Dan Meyer (40:10):
Thanks again for listening, folks.

Bethany Lockhart Johnson (40:12):
Bye.

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What Dr. Rosemarie Truglio says about math

“We all have to work together, because even though we are the experts [on curriculum and education], the real experts are the children themselves.”

– Dr. Rosemarie Truglio

Senior Vice President of Curriculum and Content, Sesame Workshop

Meet the guest

Rosemarie T. Truglio, Ph.D. is the Senior Vice President of Curriculum and Content at Sesame Workshop. Dr. Truglio is responsible for the development of the interdisciplinary curriculum on which Sesame Street is based and oversees content development across platforms (e.g., television, publishing, toys, home video, and theme park activities).  She also oversees the curriculum development for all new show production, including  Bea’s Block, Mecha BuildersEsme & RoyHelpsters, and Ghostwriter. Dr. Truglio has written numerous articles in child and developmental psychology journals and presented her work at national and international conferences. Her current book is Ready for School! A Parent’s Guide to Playful Learning for Children Ages 2 to 5, published by Running Press (2019).

A person with short dark hair, wearing a dark blazer and white top, smiles at the camera against a blue background with graphic elements, evoking the inviting atmosphere of a math teacher lounge and highlighting useful math teacher resources.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Welcome, Amplify Math families and community to Amplify Desmos Math!

Amplify welcomes you and your learner to Amplify Math for the new school year. We are very excited to provide you with exceptional learning opportunities through math. Below are resources and helpful guides for enabling your student to have the most productive experience with our platform throughout the year.

math illustration of Amplify Math programs

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A diverse group of students, one wearing a unicorn headband, looks at a teacher pointing to an amplify math bar graph on a board.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Four illustrated icons represent phases of a lesson: Warm-up, Activities, Summary and Reflection, and Exit Ticket and Practice, each with related instructional graphics.

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

Amplify Desmos Math Support
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

Big gains but slow progress in reading readiness

A woman shows a young girl something on a smartphone while they sit together at a table in a classroom, exploring reading comprehension strategies.

Amplify’s end-of-year research brief for 2024–25 shows that the youngest learners have made the greatest progress with foundational reading skills in the last five years: more kindergarteners, first graders, and second graders are on track to learn to read and fewer are far behind than at any time since the pandemic.

Kindergarteners made the biggest strides in the knowledge and skills measured by elementary reading assessments, with 70% on track to learn to read—a 21-point improvement since the pandemic.

Post-pandemic slide

In 2020–21 (the year students returned to school after the pandemic shutdowns), only 55% of K–2 students were on track to learn to read by the end of the year.

The youngest cohort struggled the most, with only 49% of kindergarteners at or above benchmark.

More students on track to learn to read

But by the end of the 2024–25 school year, the overall picture of reading readiness was much brighter.

Our data shows a 13-point increase, with 68% of the youngest readers at or above benchmark.

First and second graders were also far ahead of where they were five years ago, with improvements of 14 and 8 points, respectively.

Progress slowing

While our 2024–25 end-of-year early reading data shows significant progress relative to 2020-21, the picture is less rosy when we compare it to last year:

  • Overall, the number of K–2 students at or above literacy benchmarks was only one percentage point higher at the end of 2024–25 than it was at the end of the previous school year.
  • Within that cohort, both kindergarten and first graders saw a 2% increase, but second graders only saw a 1% increase.

Fewer students far behind

Similarly, our data showed a significant drop in the number of young readers well below benchmark between the post-pandemic school year and the 2024–25 school year.

  • Kindergarteners, again, showed the most improvement, with the number of students far behind dropping from 38% in 2020–21 to 20% at the end of the 2024–25 school year.
  • Among first graders, we saw a 12-point decline in students who were not on track to learn to read compared to 2020–21
  • Second graders showed the least improvement, with a decline of six percentage points relative to 2020-21.

Improvements among this cohort followed a similar trend to those of the at-benchmark readers: a noticeable decline over five years, but a barely noticeable year-over-year improvement.

  • Only 1% fewer students across K–2 were far behind at the end of this year compared to the year before.

More improvement during the school year

Our data also revealed some good news about annual progress in early literacy development:

  • Across K–2, students showed a bigger improvement in reading readiness than they did in prior years.
  • By the end of the 2024–25 school year, 70% of kindergarten students were on track to learn to read, compared to 36% at the beginning of the year (the greatest improvement since 2020–21).
  • First graders had a 19% improvement by the end of the 2024–25 school year (70% on track by end of year) compared to 56% in 2021.
  • Second graders showed an 11-point increase in reading readiness from beginning to end of year (65% to 54%).

Putting the Science of Reading to work for students

“Grades K–2 remain critical years for literacy development,” said Susan Lambert, Chief Academic Officer of elementary humanities at Amplify and host of Science of Reading: The Podcast. “To support young readers, educators need data-driven insights into student reading development and instructional practices that are based in the Science of Reading.”

Research has shown that data-driven strategies and tools provide the best support for young learners’ future academic success. Here are a few of the ways teachers, administrators, and parents can put them into practice:

  • Administering elementary reading assessments three times a year, to monitor student risk level for reading challenges
  • Supporting students at risk for not learning to read by analyzing data from reading assessments and making informed decisions
  • Allocating extra classroom time and resources to help students who aren’t on track
  • Monitoring progress and making adjustments as needed
  • Ensuring that evidence-based reading instruction is offered at every grade level
  • Instilling a love of reading in and out of school, in partnership with caregivers and community

Let’s keep the conversation going! Join the discussion in our Amplify learning communities.

Dive into the findings in our End-of-Year Report.

More to explore

Science of Reading: The Podcast

Beyond My Years podcast

Science of Reading

Science of Reading: A New Teacher’s Guide ebook

Early literacy assessment and intervention, grounded in the Science of Reading

mCLASS® is an all-in-one system for Science of Reading-based universal screening, dyslexia screening, progress monitoring, and instruction for grades K–8. Powered by DIBELS® 8th Edition, mCLASS helps you measure and strengthen the foundational skills that all students need to become confident readers.

What is mCLASS?

mCLASS, the only digital provider of DIBELS 8th edition assessments, provides universal screening, dyslexia screening and progress monitoring to assess your students on their reading trajectory and what skills they need to develop.

You’ll observe students as they form sounds or read words and text. Then, mCLASS instantly scores and analyzes student response patterns to provide you with diagnostic data and instructional focus for each student and group.

With mCLASS, you’ll have everything you need to support every type of learner in your classroom, including advanced learners, multilingual learners, and students with signs of dyslexia.

What educators say

“If you’re trying to shift the balance and move into the Science of Reading, mCLASS is going to give you a great way to group kids by skill.”

–Angela

Lufkin Independent School District, Director of Early Childhood Education

What educators say

“Getting the human brain to read is very complex, and mCLASS has helped me problem-solve with my PLC and the strategies I’m using in the classroom.”

Anne

Teacher, Wake County School District, Oakview Elementary School

What educators say

“One of the things that I think the data dashboard has really helped us to do is to work smarter not harder.”

Natalie

Supervisor of Elementary Ed, K-12 Instructional Technology and K-12 ELL, Metuchen School District

Valid and reliable DIBELS 8th Edition assessments

Developed in partnership with the University of Oregon, mCLASS DIBELS 8th Edition is founded on the strongest-ever research base for predicting reading proficiency, including identifying those at risk for dyslexia.

For more than 30 years, the University of Oregon has led the research behind DIBELS (Dynamic Indicators of Basic Early Literacy Skills). mCLASS is the only licensed digital provider of the evidence-based DIBELS 8th Edition assessment. See more of our research.

Our approach

mCLASS provides rich data to help you match Science of Reading-based instruction with your students’ precise needs. You’ll be able to monitor the effectiveness of instruction and make timely decisions when students or classrooms need extra support.

Grounded in the Science of Reading

From phonics to fluency and comprehension, mCLASS assesses the skills that are most critical for students to become successful readers. Once students are assessed, you’ll have the data you need to drive instructional decisions at the classroom, school, and district level.

  • Data you can trust, with teacher-administered assessments
  • Skill-level data aligned with the Science of Reading
  • Data-driven instructional recommendations to support intervention, remediation, and enrichment

Precise, trustworthy data through direct observation

Our approach to assessment is focused on providing you with immediate insights you can trust. Through direct observation of students and detailed reports, including assessment transcripts and diagnostic error patterns, you’ll have total transparency into each student’s performance.

Instant analysis and next steps

With mCLASS, you can interpret and act on data in real time with instant instructional guidance based on benchmark and progress-monitoring results. In one click, teachers can access differentiated skill-based groups and targeted resources to develop students’ foundational literacy skills.

A complete picture of English and Spanish biliteracy

Amplify’s Spanish language assessment, mCLASS Lectura (K–6), works in tandem with DIBELS 8th Edition’s English assessments to highlight areas of growth as students develop into bilingual readers. mCLASS Lectura provides complete parity with English mCLASS assessments, skill coverage, instructional tools, and reporting.

Ready to continue your learning journey?

Help build teacher confidence and improve effectiveness of intervention delivery with mCLASS professional development. Launch sessions help your team get up and running, while Strengthen sessions help teachers go beyond the basics.

Need evidence-based Tier 2 and 3 instruction?

Explore mCLASS Intervention.

Learn more

What’s included

The mCLASS program includes quick assessments of critical reading skills, real-time reporting, and data-driven instructional recommendations.

Efficient one-minute measures

DIBELS 8th Edition’s predictive one-minute assessments of phonemic awareness, phonics, fluency, and comprehension are proven to identify risk as early as possible.

  • Phonological awareness
  • Alphabetic principle/phonics
  • Reading fluency
  • Reading accuracy
  • Reading comprehension

Early detection of dyslexia symptoms

With mCLASS, you can efficiently screen students and assess the full range of skills linked to dyslexia risk factors at the same time. mCLASS DIBELS 8th Edition and mCLASS Lectura are both validated as dyslexia screeners for English and Spanish, with additional Vocabulary, Spelling, RAN, and Language Comprehension measures available at no additional cost.

Learn more about mCLASS’s dyslexia screening.

Progress monitoring and goal setting

To help you target the right skills and areas of instruction, mCLASS recommends progress-monitoring measures and automatically sets meaningful, attainable goals for each student. Our Zones of Growth goal setting framework examines your student’s DIBELS scores to predict the rate of growth they need to reach end-of-year goals.

  • Automatic progress monitoring recommendations
  • Customizable goals
  • Semester and full-year growth reports

Differentiated instruction for all students

Our library of more than 500 evidence-based activities makes it easy to plan lessons that reinforce your core instruction. The embedded professional development supports consider the varied language backgrounds of all students and provide cross-linguistic transfer and language variety guidance to inform phonological awareness instruction.

One-of-a-kind dual language reporting

When you use mCLASS DIBELS 8th Edition with mCLASS Lectura, you can identify and develop students’ English and Spanish literacy skills regardless of your own Spanish-language proficiency. With the dual language report, you can see a side-by-side view of students’ assessment results and receive instructional guidance based on the data.

Educator and caregiver reports

Easy-to-use reports, ranging from classroom-level to school- and district-wide, help you evaluate each student’s reading skills over time and pinpoint exactly when a change in instruction is needed.

To reinforce learning at home, the Home Connect feature provides letters to caregivers about their child’s reading development in English and Spanish, and includes activities for reinforcement at home or on the go.

Learn more about mCLASS reporting.

Instructional alignment across all tiers

Amplify’s early literacy system ensures that you have all the core, intervention, and personalized instruction you need to support each stage of a student’s literacy journey. mCLASS data drives placement into mCLASS Intervention and Boost Reading personalized learning. It also recommends core instruction resources within Amplify CKLA core curriculum based on the skills in which students need additional practice.

Learn why dual language assessment is critical to your MTSS strategy.

Download now

Explore more programs based on the Science of Reading

Our literacy programs are designed to support and complement each other. Learn more about our related programs.

Frequently asked questions

Still have questions? We have answers. Check out the following FAQ.

Overview

  • Amplify CKLA is based on research showing that closing the background knowledge gap is necessary for supporting the literacy development of all students. To that end, Amplify CKLA teaches literacy through the lens of cross-curricular domains in science, history, literature, and culture. It was developed in response to research that shows the critical impact of background knowledge on reading comprehension and college- and career-readiness.
  • The program also reflects the latest early reading research showing the importance of explicit foundational skills instruction. The program develops students’ foundational literacy skills through a systematic scope and sequence with a focus on phonics.

Our research-based language arts curriculum is built on findings showing that higher-level reading comprehension depends on both automatic, fluent decoding and background knowledge. Combining well-established findings from the field of early literacy research with classroom-based feedback, Amplify CKLA ensures that children will learn to listen, speak, read, and write confidently and proficiently. For more information, view the Amplify CKLA Research Guide.

Amplify CKLA is a PreK–5 program. While the PreK and K–2 materials respect the important differences between early childhood education and formal schooling, the Grades 3–5 materials ensure a smooth transition to the academic rigors of middle school.

PreK

The focus in PreK is to maintain a developmentally appropriate early childhood setting; the structures, routines, and activities are engaging and children receive a solid foundation for future language arts instruction.

K–2

The focus in K–2 is developing fluent reading and writing skills, and enhancing language comprehension by building background knowledge and vocabulary. This is accomplished through two strands: the Skills Strand and the Knowledge Strand.

The Skills Strand focuses on decoding, encoding, grammar, handwriting, and the writing process, and it contains decodable chapter books for students to practice just-learned sound-spellings.

The Knowledge Strand builds background knowledge and vocabulary through carefully sequenced read-alouds and complex texts. Teachers read aloud stories that are more complex than the text students can decode on their own, enabling children to engage with complex texts and build background knowledge of a variety of connected topics in history, science, literature, and the arts.

3–5

In Grades 3–5, students are still focused on building reading and writing skills as well as knowledge and vocabulary, but the program no longer has two strands. The various lessons in each unit include read-alouds; whole-group, small-group, and partner reading; close reading; literal, inferential, and evaluative comprehension questions; vocabulary; grammar; writing; morphology and spelling (10–15 words per week); and unit assessments.

Program design

The Skills strand provides intentional and systematic support in building decoding skills. The lessons support learning related to phonemic awareness, sound-letter patterns (or spelling patterns), decoding (both in explicit lessons and with engaging decodable texts), writing mechanics, and writing structure and processes, for 60 minutes daily.

The Knowledge Strand develops young children’s language and background knowledge. By exposing children to rich and complex texts through daily read-alouds, engaging in text-based and analytic discussions of the text and content, and building connections from the text to the work of the classroom through extension activities, the Knowledge Strand provides daily, extensive (60 minutes) broadening and deepening of children’s oral language and comprehension.

Teaching the Skills Strand and Knowledge Strand in parallel helps students avoid cognitive overload and acquire advanced, complex vocabulary in the Knowledge Strand—in essence, reading to learn from day one—while becoming expert decoders in the Skills Strand. The program is designed to bring these two strands together in grades 3–5, as foundational skills and higher-level comprehension and meaning-making gradually intertwine.

The CKLA program takes a comprehensive approach to teaching the code of the English language in the Skills strand. While the English language has only 26 letters, these letters combine to create 150 spelling patterns that represent 44 sounds of language. In most reading programs, children are explicitly taught only a fraction of this information and must glean the rest from ad hoc and incidental exposure to these spelling patterns through text. CKLA focuses on explicitly teaching each of the 44 sounds and the 150 ways that these sounds are represented (via letters and letter combinations). This comprehensive approach assures educators that children have the knowledge they need to address any text and any word.

The Knowledge Strand reflects the fact that knowledge, comprehension, and vocabulary are intimately related. The materials are designed to provide children sustained time on a variety of domains (bodies of knowledge) through shared read-alouds and discussions. This coherent organization of content is critical to building knowledge, inferring new vocabulary, and enabling comprehension. The content-rich, intentionally sequenced nature of the read-alouds within the Knowledge Strand creates the optimal context for incidental and explicit vocabulary-learning opportunities. After the read-aloud, children analyze the text through interactive discussion questions, engage in activities that foster their comprehension of complex sentences and ideas, and extend the ideas of the read-aloud into other activities in the classroom. In this way, the lessons create rich, academically oriented, oral language experiences that promote both receptive and expressive language skills.

Amplify CKLA embeds a variety of diagnostic and classroom assessments into the program materials.

There are curriculum-based assessments of both foundational skills and content knowledge, placement assessments in Grades 1 and 2 for the Skills Strand, and end-of-year Skills Strand assessments in Grades K–3. These assessments are built into the units of instruction/domains within the Teacher Guides. In Grades 4–5, there are beginning-of-year assessments, frequent spelling assessments, and comprehensive unit assessments.

Formative Assessments are integrated into every lesson, allowing teachers to understand exactly how students are doing on meeting lesson goals and standards-based objectives.

Writing in multiple genres is taught through a process that builds from three highly scaffolded steps to seven flexible steps.
In addition to explicit lessons in handwriting, spelling, and grammar, writing is taught throughout K–5. Instruction begins with a three-step writing process: plan, draft, and edit. The process is reinforced as each new writing genre is addressed. Each genre is taught through a gradual reduction in scaffolding over a set of six lessons that includes teacher modeling, group practice, independent practice, and independent application. This systematic approach allows for continued support and predictable learning as children progress in their knowledge of text types and complexity of writing. By Grade 3, students have worked their way up to a five-step writing process: planning, drafting, revising, editing, and publishing. Beginning in Grade 4, the writing process expands to seven components: planning, drafting, sharing, evaluating, revising, and editing (and the optional component of publishing). An important change between the writing process in Grades 3–5 is that the writing process is no longer conceptualized as a series of scaffolded, linear steps that students follow in a set sequence. Rather, students move back and forth between components of the writing process in a flexible manner, similar to the process that mature and experienced writers follow. In addition to specific writing lessons, there are numerous writing opportunities for students throughout the curriculum.

Alignment to the CCSS

Fully implementing the Common Core Standards requires some shifts in prevailing instructional approaches. For early grades language arts, these shifts can be summarized as (1) balancing fiction and nonfiction text, (2) building knowledge, (3) supporting students’ capacity to learn from increasingly complex texts, (4) giving text-based answers, (5) writing from sources, and (6) explicitly supporting the acquisition of academic vocabulary. The following sections document the primary ways that Amplify CKLA meets the demands of these shifts.

  1. The amount of nonfiction gradually increases, reaching the 50-50 balance of fiction and nonfiction by grade 3.
  2. Read-alouds in the Knowledge Strand are designed according to the latest research to build knowledge and vocabulary in history, science, the arts, and more.
  3. The texts in both the Knowledge Strand and the Skills strand increase in complexity as the program progresses within and across grades.
  4. In the Skills Strand, the language and knowledge demands of the texts increase, but remain decodable based on the aspects of the code that have been taught to date.
  5. Both strands engage students in appropriate means of providing text-based answers—orally, pictorially, and eventually in writing.
  6. Together, the Skills and Knowledge Strands enable students to read and digest various sources and then write by drawing on those sources.
  7. In both strands of the program, Amplify CKLA teaches children the process of using the text as a springboard for understanding.
  8. The Knowledge Strand offers repeated exposures to academic vocabulary through authentic texts and explicit word instruction.

Materials

PreK

  • Teacher Guides, Student Activity Pages, 3–4 Trade Books per domain, Flip Books, Image Cards, Transition and Center Cards, Nursery Rhymes and Songs Posters, and a Big Book (Classic Tales)

Grades K–2

  • Knowledge Strand: Teacher Guides, Flip Books, Student Activity Books, Image Cards, and online resources including supplemental lessons
  • Skills Strand: Teacher Guides, Activity Books, Student Readers, Big Books, Letter Cards, Spelling Cards, Individual Code Sheets, Code and Chaining Resources (Vowel/Consonant Code Flip Books, Student Chaining Folders), Blending Cards, and online resources including differentiation and remediation guides

Grades 3–5

  • Teacher Guides, Student Readers, Activity Books, Poet’s Journal, Writer’s Journal, Core Quests (The Viking Age in Grade 3, Eureka: Student Inventor in Grade 4 and “A Midsummer Night’s Dream” in grade 5) and Writing Quests (The Contraption in Grade 4, The Robot in Grade 5)

Inspiring the next generation of South Carolina scientists, engineers, and curious citizens

Amplify Science is an engaging new core curriculum designed for three-dimensional, phenomena-based learning.

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.

Collage showing students engaged in classroom science activities and two scientific illustrations: a cheetah in foliage and a diagram of clouds and raindrops above a hill.

Our Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

DO
First-hand investigations are an important part of any science classroom, and Amplify Science has students getting hands-on in every unit, from building models of protein molecules to experimenting with electrical systems.

TALK
Student-to-student discourse and full class discussions are an integral part of the program. Students are provided with numerous opportunities to engage in meaningful oral scientific argumentation, all while fostering a collaborative classroom environment.

READ
Students read scientific articles, focusing their reading activities on searching for evidence related to their investigation, and importantly, on asking and recording questions as they read through fascinating texts on 21st-century topics.

WRITE
Following real-world practices, students write scientific arguments based on evidence they’ve collected, making clear their reasoning about how a given piece of evidence connects to one of several claims.

VISUALIZE
By manipulating digital simulations and using modeling tools to craft visualizations of their thinking— just as real scientists and engineers do—students take their learning far beyond the confines of what they can physically see in the classroom in an exciting and authentic way.

Explore the Digital Teacher’s Guide

When you’re ready to review, click the orange button below and use your provided login credentials to access the Amplify Science Digital Teacher’s Guide. If you need login credentials, contact Jeff Rutter, jrutter@amplify.com.

Resources to support your review

Scope and sequence

GRADE
UNIT
Kindergarten
  • Needs of Plants and Animals
  • Pushes and Pulls
  • Sunlight and Water
Grade 1 
  • Animal and Plant Defenses
  • Light and Sound
  • Spinning Earth
Grade 2 
  • Plant and Animal Relationships
  • Properties of Materials
  • Changing Landforms
Grade 3 
  • Balancing Forces
  • Inheritance and Traits
  • Environments and Survival
  • Weather and Climate
Grade 4 
  • Energy Conversions
  • Vision and Light
  • Earth’s Features
  • Waves, Energy, and Information
Grade 5 
  • Patterns of Earth and Sky
  • Modeling Matter
  • The Earth System
  • Ecosystem Restoration
Grade
Units

Grade 6

  • Launch: Microbiome
  • Metabolism
  • Metabolism Engineering Internship
  • Thermal Energy
  • Plate Motion
  • Plate Motion Engineering Internship
  • Rock Transformations
  • Weather Patterns
  • Ocean, Atmosphere, and Climate

Grade 7

  • Launch: Harnessing Human Energy
  • Phase Change
  • Phase Change Engineering Internship
  • Magnetic Fields
  • Earth’s Changing Climate
  • Earth’s Changing Climate Engineering Internship
  • Chemical Reactions
  • Populations and Resources
  • Matter and Energy in Ecosystems

Grade 8

  • Launch: Geology on Mars
  • Earth, Moon, and Sun
  • Light Waves
  • Force and Motion
  • Force and Motion Engineering Internship
  • Traits and Reproduction
  • Natural Selection
  • Natural Selection Engineering Internship
  • Evolutionary History

South Carolina College- and Career-Ready Science Standards 2021

Amplify Science was designed from the ground up to meet the Next Generation Science Standards (NGSS), and the South Carolina College- and Career-Ready Science Standards 2021 are closely aligned to the NGSS at K-8. The guidance below is meant to provide support for integrating additional companion activities that support full coverage of the South Carolina College- and Career-Ready Science Standards 2021.

Organized by grade level, each section below will outline:

  • Additional activities that support 100% alignment to the  South Carolina College- and Career-Ready Science Standards 2021; 
  • The standard being addressed with the activities; 
  • The recommended placement of the activities within a specific Amplify Science unit; and 
  • PDFs of any accompanying materials that are necessary to implement the activities.

Standard: MS-PS1-4: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.
Recommended placementThermal Energy unit, Lesson 4.4, addition to Activity 3
Materials“Liquid Oxygen”
By reading the article “Liquid Oxygen,” which describes how the relationship between attraction and kinetic energy determines when a substance changes phase, students extend their understanding of the possible effects of adding or removing thermal energy to include changes in state (phase). Oxygen is one of the most common elements in the world, but most people are only familiar with oxygen in the gas phase. Because oxygen molecules are only weakly attracted to one another, condensing oxygen is difficult. This article introduces students to molecular attraction and discusses its role in phase change, including how it can be used to turn oxygen from a gas to a liquid.
Instructions:
Download PDFs of the “Liquid Oxygen” and distribute it to students. Before they begin reading, remind students of the Active Reading Guidelines. 

Standard: MS-PS4-2: Develop and use a model to describe that waves are reflected, absorbed, or transmitted through various materials.
Recommended placementWeather Patterns unit, Lesson 4.4, addition to Activity 3
Materials“Harvesting Sunlight”, “Why No One in Space Can Hear You Scream” and “Making Waves at Swim Practice”
After investigating weather patterns, which includes a focus of the effects of energy from sunlight, students extend their learning about light by reading three articles about light and other waves.
“Harvesting Sunlight:” Students read this article to learn about the types of light from the sun that plants use for photosynthesis. The article describes how the sun emits all types of light, but plants can only use certain types of visible light for photosynthesis, mostly red and blue light. Plants also absorb other types of light, and these types of light affect plants in different ways. Students use this information to gather evidence that there are different types of light that can affect a material in different ways.
“Why No One in Space Can Hear You Scream:” Students read this article to learn about how waves are transmitted. Explosions that would be deafening on Earth are silent in space. This is because sound is produced by sound waves and, unlike light waves, sound waves need matter to travel through. Reading about this phenomenon helps students understand the similarities and differences between mechanical and electromagnetic waves.
“Making Waves at Swim Practice:” A practice for the school swim team provides an everyday context for discussing light waves and sound waves in this engaging article. First, the article explores sound waves traveling through different materials–the air, the water of the pool, and even a metal poolside bench. Students discover that sound waves travel at different speeds in different materials. The later part of the article discusses light waves, which also travel at different speeds in different materials. As light waves move from one material to another, they change speed and bend. This bending of light waves is called refraction, and it explains why objects that are partly in the water and partly out of the water (such as the legs of a person sitting on the side of a pool) appear ripply and bent.
Instructions:
Plan one class period for each article. Download PDFs of the  “Harvesting Sunlight,” “Why No One in Space Can Hear You Scream,” and “Making Waves at Swim Practice” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

Standard: MS-PS2-3: Ask questions about data to determine the factors that affect the strength of electric and magnetic forces. MS-PS2-5: Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.
Recommended placementHarnessing Human Energy unit, Lesson 3.4, after Activity 1
Materials“Earth’s Geomagnetism” and “Painting with Static Electricity”
After concluding their investigations of energy transfers and conversions, students read two articles that introduce the topic of forces that act at a distance.
“Earth’s Geomagnetism:” What makes a compass needle point north, no matter what? This article introduces students to Earth’s geomagnetic field and the field lines scientists use to show its direction.
“Painting with Static Electricity:” This article gives students the opportunity to learn about electrostatic fields and forces in the context of spray painting without making a mess. Electrostatic painting systems use electrostatics to draw spray paint toward the object being painted, and nowhere else. Painters charge the object they are painting with a negative charge and the paint with a positive charge. The opposite charges are attracted to one another, causing the paint to move toward the object. This surprising use of electrostatics saves time and paint and keeps things tidy!
Instructions
Plan one class period for each article. Download PDFs of the “Earth’s Geomagnetism” and “Painting with Electricity” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

What’s included

Science articles
The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

Illustration of the indirect effects of overfishing on northern benguela jelly populations displayed on a laptop screen.

Student Investigation Notebooks
Available for every unit, the Student Investigation Notebooks provide space for students to:

  • Record data
  • Reflect on ideas from texts and investigations
  • Construct explanations and arguments

Available with full-color article compilations for middle school units.

Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.

Digital student experience
Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

  • Conduct hands-on investigations
  • Engage in active reading and writing activities
  • Participate in discussions
  • Record observations
  • Craft end-of-unit scientific arguments
A digital illustration showcasing a laptop and a tablet displaying complex data analysis software interfaces with graphs and heatmaps.

Teacher’s Guides
Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

  • Classroom Slides
  • Detailed lesson plans
  • Unit and chapter overview documentation
  • Differentiation strategies
  • Standards alignments
  • In-context professional development
A laptop displaying a website about Mars exploration with a brochure next to it. Both screens show Mars-related images.

Hands-on materials kits
Hands-on learning is at the heart of Amplify Science. Each unit kit contains:

  • Consumable and non-consumable hands-on materials
  • Print classroom display materials
  • Premium print materials for student use (sorting cards, maps, etc.)
A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

Remote and hybrid learning supports

A person sitting at a desk using a laptop, with a bookshelf containing books, a fish tank, and a soccer ball nearby.

Amplify has launched a new remote learning solution called Amplify Science@Home. Intended to make extended remote learning and hybrid learning easier, Amplify Science@Home includes two useful options for continuing instruction: @Home Videos and @Home Units. 

Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home. These videos will be produced for all K–5 units, and for the first four units of each 6–8 grade level. Their release will be rolling, beginning in August.   

Amplify Science@Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. @Home Units will be developed for all Amplify Science K–8 units. Each @Home unit includes:

  • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available.
  • Overviews to send home to families.

Student materials are available in two formats:

  • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home.
  • Downloadable @Home Packets (PDF) for students without access to technology at home.

Download the Remote and hybrid learning guide.

Looking for help?

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We have developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans
  • Information on where to locate standards and other planning materials
  • Recommendations and tips for day-to-day teaching with Amplify programs
  • Support with administering and interpreting assessment data and more

To reach our pedagogical team, use our live chat within your program, call (800) 823-1969, or email edsupport@amplify.com

Timely technical and program support

Our technical and program support is included and available from 7 a.m. to 7 p.m. ET, Monday through Friday, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

For your most urgent questions:

  • Use our live chat within your program
  • Call our toll-free number: (800) 823-1969

For less urgent questions:

Contact us

Contact your South Carolina team representatives:
Jeff Rutter
Field Manager
jrutter@amplify.com
(727) 512-8440

Cathy McMillan
Senior Account Executive
cmcmillan@amplify.com
(904) 465-9904

Welcome to Amplify CKLA!

Amplify Core Knowledge Language Arts (CKLA) is a cutting-edge and effective core ELA program for students in grades K–5. It was developed in partnership with the Core Knowledge Foundation, features proven evidence-based instructional practices, and was specifically designed to help teachers implement Science of Reading principles.

Note: We’re continually adding information to this site, including specific details regarding our alignment with your non-negotiables. Keep checking back with us between now and April 20, 2023.

Getting Started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you dive in, watch the Orientation Overview and Program Overview videos below to learn about CKLA’s alignment to CCSD’s ELA adoption requirements, as well as where to find key program resources.

[Video] Orientation Overview

[Video] Program Overview

In the video below, learn about CKLA’s structure and materials, as well the research behind the curriculum.

Evidence-Based

[Video] Pedagogical Overview with Simple View of Reading

In the video below, Amplify’s Chief Academic Officer Susan Lambert shares the big picture of CKLA, and explains why it was created and the impact it’s making across the country. Below are a few portions of the video that you may find particularly helpful as you conduct your review.

  • 0-1:00 Why CKLA?
  • 1:00-4:40 How CKLA was built on the Simple View of Reading
  • 4:40-8:00 How to review the CKLA Components
  • 8:00-end Teacher Testimonial

[Features] Supporting the Simple View of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature engaging plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Easy-to-Use Materials

Amplify CKLA offers a number of digital and multimedia resources to support instruction and enhance the teacher and student experience.

  • Amplify CKLA Digital Experience Site: All teacher and student materials are posted on this site for planning and information purposes, including Teacher Guides, Readers, Activity Books, Ancillary Materials, videos, additional resources, and links to other useful sites, such as the Professional Learning site.
  • The Professional Learning Site: This site includes training materials, best practices, and other resources to develop program expertise. Access professional development anywhere, anytime.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.
  • The Science of Reading: The Podcast: Hosted by Susan Lambert, The Podcast delivers the latest insights from researchers and practitioners in early reading. Each episode takes a conversational approach and explores a timely topic related to the Science of Reading.

In addition to the videos below, our CKLA Components Guide can be a helpful tool as you explore the materials provided within your sample tubs.

[Video] Physical Materials Walkthrough

As you explore your physical samples, the material walkthrough video below can be a helpful resource. In particular, we suggest watching the following portions of the video.

  • 0-4:38 CKLA components for K–2
  • 4:38-7:00 CKLA components for 3–5
  • 7-7:30 CKLA Program Guide
  • 10:12-13:20 CKLA’s Teacher Resource Site

Note: The below video covers both our K-5 program (Amplify CKLA) as well as our 6-8 program (Amplify ELA).

[Video] Digital Materials Walkthrough

In the video below, learn about CKLA’s digital tools for teachers and students across both classroom and asynchronous environments.

As you prepare to explore our digital platform, be sure to watch and refer to the video below.

Diverse Texts

In Amplify CKLA, texts serve a variety of purposes, from building background knowledge, vocabulary, and comprehension to building decoding and fluency skills.

In grades K–2, instruction is segmented between two strands: Knowledge and Skills.

  • Reading within the Knowledge Strand is centered around authentic read-alouds and trade books that are intentionally sequenced to build content knowledge and vocabulary in specific domain topics around literature, history, science, and the arts. Because research shows that students’ listening comprehension outpaces their reading comprehension until their early teens, Amplify CKLA strategically uses read-aloud text in this strand, allowing students to focus their cognitive energy on gaining meaning from the words and better understanding from the images.
  • Reading within the Skills Strand centers around carefully crafted Student Readers that teach students how to read. Structured as chapter books, these readers are 100% decodable and were developed to align with Amplify CKLA’s scope and sequence for phonics, directly connecting instruction to student practice in connected texts. Students use the Readers to practice decoding, fluency, and comprehension during shared reading lessons, targeted close reading sessions, in small groups, and independently.

In grades 3–5, integrated units bring the Skills and Knowledge strands together as students become increasingly automatic and strategic in their word recognition and language comprehension skills. Student reading and comprehension activities involve a variety of reading materials:

  • Authentic Read-Alouds and trade books ensure students encounter a variety of perspectives as they use these complex text to increase their knowledge while practicing vocabulary and listening comprehension skills.
  • Student Readers connect to each theme and are designed to increase in complexity over time, providing a continual challenge as students’ reading and listening comprehension skills develop and strengthen throughout the year.
  • Novel Guides provide teachers a flexible option for extending authentic reading and text-based activities in the classroom using award-winning and acclaimed novels.
  • ReadWorks articles give students access to additional high-quality texts aligned to both Amplify CKLA knowledge topics and the topics outlined in the Common Core State Standards.

Decodable Readers at Grades K–2

Our Decodable Readers are designed to progress in skills, mirroring the scope and sequence of instruction, which allows students to immediately apply what they are learning to 100% decodable text. More specifically, our decodables:

  • Are uniquely designed to provide intensive practice with the CKLA code while students read compelling and engaging stories and informational texts for the first time.
  • Gradually introduce students to “tricky” spelling concepts, such as different sounds that use the same letter code.
  • Increase in text complexity (i.e., content, length, and vocabulary) as students progress through the grades.
  • Include fiction and nonfiction text.
  • Are available as ebooks and audiobooks.

Below, you can see how students grow from year-to-year across grades K–2.

Student Readers at Grades 3–5

By grades 3–5, students have mastered the basics of decoding and are hungry to use what they’ve learned to reach out to the world. Although Read-Alouds remain an important part of lessons, students are also encouraged to practice independent reading starting in grade 3 with the support of carefully crafted Student Readers. These readers are chock-full of various text types, cultural stories, and a blend of fiction and nonfiction texts that are tied to and support the overarching theme of the unit.

Read-alouds

Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.

Trade books

Our optional Trade Book Collection (and suggested list of additional trade books) align with our grade-level topics, and extend the knowledge students are learning through an authentic text.

Novel Guides

Novel Guides bring students beyond the CKLA curriculum. We provide fifteen full days of instruction on contemporary trade books, as well as writing prompts that help students navigate the authentic literature they love.

ReadWorks

Amplify CKLA and ReadWorks® have partnered to deliver high-quality texts curated to support the Amplify CKLA Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.

Reading resources

The following resources may be helpful as you explore our approach to reading and the role that diverse texts play in the program.

Writing

CKLA is rich with opportunities for students to develop, practice, and hone their writing skills. While the shape of writing instruction looks slightly different at each grade level, a commonality across all grades K–5 is that writing isn’t taught in isolation. Rather, it’s embedded within the context of each unit, and is connected to what students read.

At Grades K–2, writing takes place in both the Skills and Knowledge strands.

  • Explicit instruction in writing skills (such as sentence structure) and handwriting takes place in the Skills Strand, and is tied to the decodable readers used within each unit.
  • Extended writing and writing process activities take place in the Knowledge Strand.

At Grades 3–5, writing is embedded through the integrated units.

  • Across each unit, students work on smaller, more discrete writing skills alongside their Student Reader. These skills eventually culminate at the end of each unit in the form of a writing project.
  • In 4th and 5th grades, we expand writing even further with the addition of Poetry units.

Writing and text-dependent questions

The overwhelming majority of questions, tasks, and assignments in CKLA materials are text-dependent. Every CKLA unit and domain is based around key texts that are either read aloud, with a peer, or independently. These readings are followed by class discussions where students are expected to refer to these texts when answering literal, inferential, and evaluative questions, both orally during class discussions and through written responses.

  • Literal questions assess students’ recall of key details from the text. These are text-dependent questions that require students to paraphrase and/or refer back to the portion of the text where the specific answer is provided.
  • Inferential questions ask students to infer information from the text and to think critically. These text-dependent questions require students to summarize and/or reference the portions of the text that lead to and support the inference they are making.
  • Evaluative questions ask students to build on what they have learned from the text using analytical and application skills, often to form an opinion or make a judgment. These questions require students to paraphrase and/or cite the textual evidence that substantiates their argument or opinion.

In addition, students are often asked to generate additional questions based on the texts. Students further demonstrate understanding in writing by applying what they have learned and providing evidence from the text to back up their answers and opinions. For example, Grade 3 students learning about sea exploration write a paragraph from the perspective of a sailor on John Cabot’s ship, stating their opinion of whether the hardships they experienced are worth the adventure or glory and citing examples from the text to support their response. Grade 5 students studying the Adventures of Don Quixote write a four-paragraph persuasive essay arguing whether they believe Don Quixote’s good intentions justify his often calamitous actions, using reasons and evidence from the text to support their claims.

Writing with authentic literature

Novel Guides are designed around authentic texts students love. They not only help students foster a love for reading, they also present authentic opportunities for students to express themselves through writing. Novel Guides provide daily text-based writing and discussion through five activity types:

  • Ask contains questions for discussion, reflection, or brief written responses. These questions cover information all students should understand as they read the text.
  • Explore prompts offer brief research opportunities centered around items mentioned in the text.
  • Imagine activities promote creativity and further reflection.
  • Observe items ask students to take notes or make other kinds of observations about what they have read.
  • Understand questions push students to explore connections to the text.

Writing and enrichment

Writing tasks throughout the program provide almost limitless opportunities for extension. Feedback from the teacher, peers, and self-reflection provide students opportunities to strengthen their writing. For example, advanced students can be encouraged to:

  • Use more complex and unusual descriptive vocabulary.
  • Incorporate figurative language into their writing.
  • Write multi-clause sentences with more complex joining words.
  • Create longer or richer opinion, explanatory, and narrative pieces.
  • Evaluate the use of informational textual characteristics and use in their own writing (e.g., headers, bullets).

Writing resources

The following resources may be helpful as you explore our approach to writing and how writing develops across the program.

Access the program

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Resource Site.

Ready to explore as a teacher? Follow these instructions:

  • Click the CKLA Teacher Resource Site button below.
  • Select Log in with Amplify.
  • Enter the username: t1.ccsd-k5-ckla@demo.tryamplify.net
  • Enter the password: Amplify1-ccsd-k5-ckla
  • Click the CKLA Teacher Resource icon
  • Select a grade level

Explore as a student

Before logging in, watch this brief video on navigating the CKLA Student Hub.

Ready to explore as a student? Follow these instructions:

  • Click the CKLA Teacher Resource Site button below.
  • Select Log in with Amplify.
  • Enter the username: s1.ccsd-k5-ckla@demo.tryamplify.net
  • Enter the password: Amplify1-ccsd-k5-ckla
  • Click the CKLA Teacher Resource icon
  • Select a grade level

Check out these additional resources

Nevada submission resources:

CKLA review resources:

Utah ELA Review for Grades PK–5

Thank you for taking the time to review Amplify’s core ELA program for PK–5. Amplify Core Knowledge Language Arts® (CKLA) is a state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Amplify CKLA, developed in partnership with the Core Knowledge Foundation, was designed to help teachers implement Science of Reading principles and evidence-based instructional practices. Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration of a diverse group of people engaged in creative activities, including a woman holding architectural plans and a young girl reading a book.

Step 1: Program Introduction

Welcome to Amplify CKLA! Before you dive into our materials, watch the video below to learn about the big picture behind Amplify CKLA’s pedagogy.

In this video, Susan Lambert (Chief Academic Officer and host of Science of Reading: The Podocast) shares why Amplify CKLA was created, how it is built on the Science of Reading, and the impact it’s making across the country.

Step 2: Program Overview

Amplify CKLA is different for a reason. Watch the overview video below to learn about these differences and why educators love them.

In this video, you’ll get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify CKLA Program Guide also provides an in-depth view of how Amplify CKLA works, how it’s structured, and why it’s uniquely capable of helping you bring reading instruction based on the Science of Reading to your classroom.

Evidence-based design

Amplify CKLA is rooted in Science of Reading research. Mirroring Scarborough’s Rope, Amplify CKLA delivers a combination of explicit foundational skills with meaningful knowledge-building.

  • In Grades PK–2, dedicated knowledge-building and explicit skills instruction are taught simultaneously through two distinct instructional strands.
  • In Grades 3–5, dedicated knowledge-building and explicit skills instruction are woven together and delivered through one integrated strand.
Scarborough's Rope

Grades K–2 Skills and Knowledge Strands
Every day students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5 Integrated Strand
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Key features

For each Amplify CKLA key feature below, click the drop down arrow to learn more.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades PK–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Amplify CKLA aligns with the instructional principles recommended by Orton Gillingham and LETRS.

  • Structured–Concepts are taught through consistent routines
  • Sequential–Concepts are taught in a logical, well-planned sequence
  • Systematic–Phonemes are taught from simplest to most complex
  • Explicit–Decoding and encoding concepts are taught directly and explicitly
  • Multi-sensory–Instruction is delivered through visual, auditory, and kinesthetic-tactile pathways
  • Cumulative–Concepts are applied in decodable, connected texts with constant review and reinforcement

Watch this video to learn more!

Additionally, great reading instruction starts with helping kids develop great decoding skills. Our instruction is supported by:

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and CKLA customers on edWebinar about the importance of knowledge-building in reading instruction.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recently recognized by the Knowledge Matters Campaign as a high-quality literacy program that excels in building knowledge. Our shared message: background knowledge is essential to literacy and learning.

Student-led reading practice should be purposeful and connected to the core. That’s why Amplify createdBoost Reading. As an optional add-on to Amplify CKLA, students have the opportunity to practice skills directly tied to the skills they’ve been working on during core reading time. Boost Reading also adapts to each student to address their personal gaps and bolsters foundational skills at a pace that supports their individual development.

Boost Reading’s collection of 40+ adaptive games target foundational reading skills and develops them in alignment with Science of Reading principles. Unlike other adaptive games, we ensure students:

  • Practice the right skills at the right time. Our embedded placement tool ensures students receive the content and skill practice most appropriate for their current reading level. From there, students move through our curriculum along their own learning pathway where they encounter personalized content tailored to their evolving skill and grade levels.
  • Progress along a pathway that adapts on multiple dimensions, not just one. For example, a student can work on early first-grade decoding in one game while building more advanced vocabulary knowledge in another.
  • Practice skills in tandem. For example, a student is never forced to master one skill area before proceeding to the next. Instead, we offer students that opportunity to work on multiple skills concurrently.
  • Feel supported with scaffolding, instruction, and practice that adapts based on student performance.
  • Stay engaged by giving them immediate and clear feedback. These results are never punitive. Instead our always-positive feedback is delivered in the context of the game world and is designed to motivate students to keep trying.

Click the buttons below to learn more:

Step 3: Program Resources

Easy-to-use print materials

Amplify CKLA’s easy-to-use materials bring foundational skills and knowledge to life in the classroom.

Download the Amplify CKLA Components guide to see components by grade and watch the print materials walkthrough below.

Engaging CKLA digital experience

The top-rated content of Amplify CKLA is now live with the digital experience that enhances instruction and saves time.

Two digital dashboards are displayed: one for teachers showing recommendations and a program list, and one for students showing to-do items and a lesson named Mount Olympus, Part II.

With the digital experience, everything is in one place, making it easier and more engaging than ever to plan lessons, present digital content, and review student work. Click the arrows below to learn more.

With the digital experience, teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive experience—through these CKLA resources: Activity Books, slides, digital components, videos, Student Readers, and more.

The innovative live review tool found in the digital experience enables you to keep an eye on all of your students as they work on drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed textboxes in their Activity Pages. This dynamic tool provides countless classroom management benefits, enabling you to spot and correct common mistakes as they’re happening, praise your students for thoughtful work, and identify students who are not engaged in the task at hand. Simply put, it will give you those valuable “eyes in the back of your head” you’ve warned your students about!

The digital experience integrates with various LMSs, allowing you and your students to access Amplify CKLA with the software you’re already comfortable using.

In the Amplify CKLA student digital experience, your students have one intuitive access point to fully engage with classroom instruction. Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactives from one simple dashboard. Students can draw, record audio, upload and capture images, and type or write in pre-placed text boxes in their Activity Pages.

CKLA review resources

Step 4: State Review Resources

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username: t1.utcklapk5@demo.tryamplify.net
  • Enter the teacher password: Amplify1-utcklapk5
  • Choose CKLA from the “Your Programs” menu on Educator Home.
  • Select a grade level from the drop-down menu at the top of the page.

Ready to explore as a Student? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the student username: s1.utahcklapk5@demo.tryamplify.net
  • Enter the student password: Amplify1-utahcklapk5

Puyallup families, welcome to Amplify CKLA!

Welcome to the Amplify CKLA Caregiver Hub for Puyallup School District. This site is designed to help you learn about Amplify CKLA—a core English Language Arts curriculum.

We want to hear from you! Please share your thoughts by completing this district survey.

Illustration showing a man with a tree, colorful abstract shapes, and various scientific and nature-related icons including a laboratory setup, an animal skeleton, and marine life.

What is Amplify CKLA?

Amplify Core Knowledge Language Arts (CKLA) is a language arts program for Grades PreK-5 that combines a multi-sensory approach to phonics with rich texts carefully sequenced to build content knowledge—so that students learn to read and read to learn at the same time. 

Every day in Grades PreK–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge. In Grades 3–5, students start to master the skills of reading, further opening up their worlds.

Illustrative circles depicting educational stages from prek to grade 5, each showing children engaged in age-appropriate activities or learning themes.

CKLA in Action

There’s no better way to understand the power of Amplify CKLA than seeing it in action. Watch Ms. Lehman’s second graders in the video below as they learn how to decode and spell words with the long /ā/ sound.

Unit Overviews

Below are quick overviews of the units your student will be working through in their grade throughout the year. Next to each unit are downloadable guides which provide a more in-depth look at the content covered and how you can help your student advance their understanding of the topics.

Materials overview

Amplify CKLA is a blended program, which means your student will be interacting with both print and digital materials.

Print materials

Student Readers

These readers are uniquely designed to provide intensive practice while reading simple but authentic stories. All readers are also available as ebooks and audiobooks on the teacher resource site, which caregivers can now access.

In grades K-2, these readers are chapter books that allow students to practice just-learned sound-spellings within an authentic reading experience that incorporates compelling plots and interesting characters.

In grades 3-5, readers develop close reading and other literacy skills through a selection of diverse, content-rich literary and informational texts.

A collage of kindergarten-level reading books titled Kit and Seth, with illustrated pages showing children, plants, and scenes of reading and eating grapes and cake.
Grade 1 reading materials featuring illustrated children, a Snapshots cover, two open storybooks showing kids and activities, and a page about a holiday with text and drawings.
Open educational book for grade 2, showing illustrations and text about a chicken nugget story and the war of 1812.

Student Activity Books

Part of the daily lessons, these activity pages ask students to respond to the text they’ve read and apply skills and knowledge. They also include assessments that track students’ skills development, to which teachers have access.

Two illustrated pages titled Knowledge 1-6 and Knowledge 7-12, each showing colorful scenes representing different educational topics in numbered circles.

Digital materials

CKLA Hub for grades K–5

We are excited to announce that students will be able to access multimedia resources and engage in a new digital experience on the CKLA Hub. Unlike ever before, students can access digital resources independently from anywhere, taking full advantage of the instructional multimedia experiences that Amplify CKLA has to offer. Students can access the Hub at home, in the classroom, and on the go, making it ideal for remote learning. It’s compatible with laptops, Chromebooks, tablets, and desktops—we’ve also optimized it for mobile devices.

Knowledge Builder videos for grades K–2

Each Knowledge Domain starts with a Knowledge Builder video: a short, fun, animated story that enriches the lesson and motivates students with new characters, places, and concepts.

A cartoon scientist stands next to a sparking robot in a laboratory, displayed on a laptop screen with purple-themed laboratory equipment in the background.

Recorded daily read-alouds for grades K–2

Teachers and students will have access to video recordings of all K–2 Knowledge Read-Alouds with pictures from the Flip Books.

Cover image for Cycles in Nature by Amplify CKLA. Features illustrations of a dinosaur, plant, wagon, book, fish, cat on desk, and various nature-related items against a pink background.

Sound Library for grades K-2

The Sound Library uses audio sounds, catchy songs, and animated articulation videos to help students learn and master sounds.

A webpage titled Sound Library displays search bar and sound cards for different phonemes, each with example words and buttons for sound, video, and song.

Foundational Skills Boost for grades 1–3

Designed for grades 1–3, these video-based, self-guided lessons target critical foundational skills from the previous year’s instruction in order to fill in any gaps. They offer approximately nine weeks of instruction organized as daily lessons, with additional teacher-led small-group activities and family resources.

A chocolate chip cookie in a glass of milk, a person speaking, a speech bubble saying Let's say it together!, and two illustrated eyes on a green background.

Vocab App for grades 3-5

The Vocabulary App is designed for independent practice with vocabulary. Students can use the Vocabulary App for game-like activities that challenge them.

Screenshot of the Amplify Vocab App webpage, showing interactive vocabulary tools for students in grades 3-5, with a Launch App button and navigation menu at the top.

Quests for grades 3–5

Each of the grade levels in 3–5 contains a Core Quest. In these special units, all the normal rules of the classroom change, and students engage with language in surprising new ways. For example, in grade 5, they learn to love the dense Shakespearian language of A Midsummer Night’s Dream through imagery, close reading, and performance.

A collage showing illustrated cards of Titania, Puck, and Athens, a lesson on performing Shakespeare, and two photos of actors performing on stage.

Support your child at home

Read and talk at home

  • If possible, read with your child daily; even 15 minutes of reading together each day can make a huge impact. 
  • You can read sections of the text aloud together. If your child struggles, you might try reading the text to them with expression, and then have them read it aloud back to you. 
  • For additional practice, watch the recorded read-alouds with your K-2 student or have your grade 3-5 student use the Vocabulary App. 
  • Find moments to discuss what they are reading and discovering. Examples of questions you could ask: What stood out to you from what you read today? Were any sentences or words confusing? What was most surprising? What do you think the writer was trying to communicate? Do you agree with the writer’s ideas or descriptions? What connections can you make between what you are reading and your own life or other issues?
  • Listen to your child read their written responses or have them share with a friend over video chat. 
  • We recommend reviewing this Protecting Kids Online article by the Federal Trade Commission addressing digital safety.

Skills practice at home

We’ve developed a set of resources for caregivers to use with their students that includes instructions and materials to teach and practice grade-level phonics at home. Resources include sound videos, Readers, and a how-to video with editable instructions that caregivers can customize to meet individual student needs.

Parent and child at home working on sofa

Where to go for help

Whether you have questions about your technology or want to know more about the program, Amplify’s Support Team is here to help!

Contact Support via telephone at (833) 97-Care-8 (833-972-2738) or caregiver@amplify.com.

Our support hours are Monday – Friday, 7 am – 9 PM ET, and Sunday, 10 – 6 ET.

Inspiring the next generation of Massachusetts scientists, engineers, and curious citizens

Amplify Science is an engaging new core curriculum designed for three-dimensional, phenomena-based learning.

Collage of four images: a jungle illustration with a giraffe, students using computers, a boy studying with classmates, and an animated hillside with kites flying.

A powerful partnership

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify. This partnership extends to 2032, allowing us to continuously improve our program and provide our customers with the most up-to-date enhancements, free of charge. Get a glimpse at our latest back-to-school updates here.

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

Three blue panels describing educational activities: "hands-on science" with lab experiments, "discuss" with collaborative learning, and "read" with literacy in science articles.

Phenomena-based approach

In each Amplify Science unit, students take on the roles of scientists or engineers in order to investigate a real-world problem. Students work to define the problem and collect and make sense of evidence. Once the context is clear, students collect evidence from multiple sources and through a variety of modalities. At the end of the unit, students are presented with a brand new problem, giving them an opportunity to apply what they’ve learned over the course of the unit to a new context. This represents a shift from asking students to learn about science to supporting students in figuring out the science.

Flowchart of a learning unit divided into four chapters, showing stages of student engagement from introduction to application, with assessments indicated at various points.

Resources to support your review

Scope and Sequence

GRADE

Kindergarten

UNITS

  • Needs of Plants and Animals
  • Pushes and Pulls
  • Sunlight and Water

Grade 1

  • Needs of Plants and Animals
  • Pushes and Pulls
  • Sunlight and Water

Grade 2

  • Plant and Animal Relationships
  • Properties of Materials
  • Changing Landforms

Grade 3

  • Balancing Forces
  • Inheritance and Traits
  • Environments and Survival
  • Weather and Climate

Grade 4

  • Energy Conversions
  • Vision and Light
  • Earth’s Features
  • Waves, Energy, and Information

Grade 5

  • Patterns of Earth and Sky
  • Modeling Matter
  • The Earth System
  • Ecosystem Restoration

Flexible implementation

One of the key features of Amplify Science is the flexibility that it offers. We give students authentic opportunities to experience the full breadth of what it means to be a scientist or engineer. Just as scientists gather evidence from many types of sources, so do students in our program. Like scientists, students gather evidence not just from physical models, but also from digital models, texts, videos, photographs, maps, data sets, and even their peers!
Simply put, real scientists don’t just get messy—they read, write, analyze, hypothesize, model, test, and communicate with purpose, too.

Illustration of the indirect effects of overfishing on northern benguela jelly populations displayed on a laptop screen.

Student Books
Beginning and young readers have unique developmental needs, and science instruction should support these students in reading more independently as they progress through sections of content, the school year, and each grade. One way Amplify Science meets these needs is by strategically deploying different modes of reading throughout each unit: Read-Aloud, Shared Reading, and Partner Reading.

A collage of various educational book covers related to science and math, featuring illustrated themes like sports, nature, and energy.

Student Investigation Notebooks

Available for every unit, the Student Investigation Notebooks provide space for students to:

  • record data.
  • reflect on ideas from texts and investigations.
  • construct explanations and arguments.
Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.

Digital student experience

Students access the digital simulations and Modeling Tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

  • conduct hands-on investigations.
  • engage in Active Reading and writing activities.
  • participate in discussions.
  • record observations.
  • craft end-of-unit scientific arguments.

Dive into a quick example of our powerful simulations

Grades K–5 simulation

A digital illustration showcasing a laptop and a tablet displaying complex data analysis software interfaces with graphs and heatmaps.

Hands-on materials kits

Hands-on learning is at the heart of Amplify Science and is integrated
into every unit. Students actively take on the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them.

Check out this 2-minute video to see an Amplify Science hands-on investigation in action.

Each unit kit contains:

  • consumable and non-consumable hands-on materials.
  • print classroom display materials.
  • premium print materials for student use (sorting cards, maps, etc.).
A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

Teaching support

Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

  • detailed lesson plans.
  • unit and chapter overview documentation.
  • differentiation strategies.
  • standards alignments.
  • in-context professional development.
A laptop displaying the Geology on Mars webpage sits beside a book titled "Geology on Mars," both featuring the same cover image of Mars and a spacecraft, perfect for enhancing three-dimensional learning in any science classroom.

Massachusetts Academic Standards in Science coverage

Amplify Science was designed from the ground up to meet the NGSS, a set of standards that closely align with the Massachusetts Learning Standards for Science coverage. Most grade levels’ respective set of Amplify Science units therefore address the necessary MASS (see correlation). 

For grades K, 1, 2, 3, and 5, teachers should plan to also use the resources provided in the sections below to achieve full coverage of the appropriate standards before their students move on to the next grade band. Organized by grade level, each section outlines:

  • companion lesson materials that were written to support 100% alignment to the Massachusetts Learning Standards for Science coverage when used with the core Amplify Science units for the grade level
  • the standard being addressed with each companion lesson; and
  • the recommended placement of each companion lesson within a specific Amplify Science unit

Standard: K-PS1-1(MA). Investigate and communicate the idea that different kinds of materials can be solid or liquid depending on temperature.

Recommended placement: Following Lesson 5.6 of Sunlight and Weather

Resources: After students finish reflecting on their unit-long exploration of energy and temperature, play and discuss this read-aloud video of the student book Can you Change it Back?, which is featured in the grade 2 unit Properties of Materials. You might also consider borrowing the physical books from a grade 2 colleague’s Properties of Materials kit and reading it as a class instead of or in addition to playing the video.

Using the book, you will introduce students to the idea that heating and cooling can cause changes to materials. In the book, students are presented with a variety of materials and asked to predict whether a certain change caused by heating or cooling is reversible or irreversible.

Companion lesson: “Seasonal Changes”

Standard: 1-ESS1-2– Analyze provided data to identify relationships among seasonal patterns of change, including relative sunrise and sunset time changes, seasonal temperature and rainfall or snowfall patterns, and seasonal changes to the environment.

Recommended placement: Following Lesson 5.1 of Spinning Earth

Resources: Season Changes Classroom Slides and Student Sheet

Companion lesson: “Properties and Weight”

Standard: 2-PS1-3– Analyze a variety of evidence to conclude that when a chunk of material is cut or broken into pieces, each piece is still the same material and, however small each piece is, has weight. Show that the material properties of a small set of pieces do not change when the pieces are used to build larger objects.

Recommended placement: Following Lesson 4.4 of Properties of Materials.

Resources: Weight and Properties Classroom SlidesResources, and Student Sheet

Companion lesson 1: Extinct Insects

Standard: 3-LS4-1: Use fossils to describe types of organisms and their environments that existed long ago and compare those to living organisms and their environments. Recognize that most kinds of plants and animals that once lived on Earth are no longer found anywhere.

Recommended placement: Following Lesson 2.3 of Environments and Survival

Resources: Extinct Insects Classroom Slides and Student Sheet

Companion lesson 2: Friction

Standard: 3-PS2-1: Provide evidence to explain the effect of multiple forces, including friction, on an object. Include balanced forces that do not change the motion of the object and unbalanced forces that do change the motion of the object.

Recommended placement: Following Lesson 1.1 of Balancing Forces

Resources: Friction Classroom SlidesResources, and Student Sheet

Companion lesson 1: Composters

Standard: 5-LS2-2(MA)– Compare at least two designs for a composter to determine which is most likely to encourage decomposition of materials.

Recommended placement: Following Lesson 3.7 of Ecosystem Restoration

Resources: Composters Classroom Slides and Student Sheet

Companion lesson 2: Properties of Materials

Standard: 5-PS1-3 (MA) – Make observations and measurements of substances to describe characteristic properties of each, including color, hardness, reflectivity, electrical conductivity, thermal conductivity, response to magnetic forces, and solubility.

Recommended placement: Following Lesson 1.3 of Modeling Matter

Resources: Properties of Materials Classroom SlidesResourcesArticlesCopymaster, and Student Sheet

Companion lesson 3: Water Filters

Standard: 5-ESS3-2(MA)– Test a simple system designed to filter particulates out of water and propose one change to the design to improve it.

Recommended placement: Following Lesson 5.6 of The Earth System

Resources: Water Filters Classroom Slides and Student Sheet

Benchmark Assessments

Amplify’s Benchmark Assessments are designed to help teachers measure student progress toward the three dimensions—Disciplinary Core Ideas (DCIs), Science and Engineering Practices (SEPs), and Crosscutting Concepts(CCCs)—and performance expectations (PEs) of the NGSS. The assessments provide important insight into how students are progressing toward mastery of different standards ahead of high-stakes, end-of-year assessments.

The Benchmark Assessments are built to be delivered after specific units in the recommended Amplify Science scope and sequence.* They are given three or four times per year, depending on the grade level. The benchmarks are intended to show progress at various points in time across a school year, and are therefore not summative in nature. Digital items and item clusters are also tagged to specific NGSS standards, allowing customization to align with other course sequences. The assessments are available via the following platforms:

Print
PDF files: For administering Benchmark Assessments on paper

Digital platforms

  • Illuminate
  • SchoolCity
  • Otus
  • QTI (“Question and Test Interoperability”) files
    Not sure whether QTI files are compatible with your assessment platform? Contact your school IT or assessment platform representative for more information.
    Please note that Amplify is able to provide access to the QTI files themselves, but is not able to support the integration process. Your assessment platform provider should be able to assist with QTI file integration.

Remote and hybrid learning support

A child sits at a desk using a laptop. Next to the desk is a bookshelf with books, a fishbowl, and a soccer ball.

See an example of our remote and hybrid learning support below:

Intended to make extended remote and hybrid learning easier, Amplify Science @Home includes two useful options for continuing instruction: @Home Videos and @Home Units.
Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home.

Amplify Science @Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. Each @Home unit includes:

  • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available
  • Overviews to send home to families

Student materials will be available in two formats:

  • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home
  • Downloadable @Home Packets (PDF) for students without access to technology at home

Download the remote and hybrid learning guide

Explore the digital Teacher’s Guide

To familiarize yourself with navigation of the digital Teacher’s Guide, watch our navigational guide videos:

Grades K–5:

Looking for help?

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

Timely technical and program support

Our technical and program support is included and available Monday through Friday, from 7 a.m. to 7 p.m. ET, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

Ready to dive in?

Contact your Massachusetts representative:

Tracy Yefimenko
518-466-3497
tyefimenko@amplify.com

Oregon Math State Review for 9–12

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Oregon Math State Review for 6–8

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Amplify K–6 ELA programs for Fairfax County

Welcome, Fairfax County Reviewers! 

Thank you for exploring our evidence-based K–6 programs built on the Science of Reading and aligned to Virginia standards and Fairfax County’s learning model. 

Amplify CKLA for Grades K–5 and Amplify ELA for Grade 6 intentionally build knowledge alongside skills and are aligned within and across grades. Meaningful learning experiences for students pair with powerful instructional support for teachers to drive results. 

The following resources will support your review. These include clips of Amplify programs in action; details about key features of the curriculum; and research on the real-world successes of schools, districts, and states who’ve partnered with Amplify.

Amplify CKLA for Grades K–5

Introduction to Amplify CKLA

We’re excited for you to see how Amplify CKLA provides high-quality resources to support literacy instruction for all students! This program is flexible, offering stand-alone foundational skills instruction as well as the program core English Language Arts.

Amplify CKLA Skills is built on the latest reading science and provides comprehensive instruction in all foundational reading skills, featuring:

  • Phonological awareness, phonics, and word recognition.
  • Strong, systematic sound-first instruction to support students in learning to decode.
  • Language skills, including conventions, spelling, and grammar.
  • Reading comprehension.
  • Writing instruction.

CKLA for Grades K–2 provides a two-strand approach. The first is the Foundational Skills Strand (as described above) and the second is the Knowledge Strand, in which students build rich background knowledge through multidisciplinary read-alouds. CKLA takes an Integrated approach in Grades 3–5, in which lesson sequencing is especially focused on rich, worldly content. 

We encourage you to check out the K–2 Knowledge Strand and 3–5 Integrated approach sections of this site to explore the components further and gain access to the engaging and diverse texts students and teachers are using in their classrooms every day!

K–2 Skills Strand

In the CKLA classroom, students practice reading while stretching themselves toward higher goals. In K–2, daily dedicated skills time gives students a solid foundation, while the upper grades integrate this instruction with knowledge lessons in which students engage with increasingly complex, content-rich texts and writing activities.

All instruction starts with phonological awareness, which research has shown to benefit the greatest number of students. Students begin by learning to recognize sounds, as well as to articulate them.

Over time, students build up their awareness of phonemes. We give teachers a variety of tools, including multisensory gestures, to help kids develop this awareness.

Once students can recognize sounds, they learn to form the corresponding letter codes. CKLA starts by teaching the sound-spellings that appear most frequently in English, which lets your students read and write as many words as possible, as soon as possible.

The lessons continue to challenge students as they progress, introducing complications like multisyllabic words, “tricky words,” and homophones. In each case, students encounter more complicated words as they become ready for them.

K–2 Knowledge Strand

While students are learning how to read, Knowledge Domains give them authentic and engaging reasons to read. Students will use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups. With these domains, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Each CKLA Knowledge Domain gives students a base of vocabulary and concepts, building on what they’ve learned in previous domains. This helps students make connections within and across grades, building a base of background knowledge that will help them navigate new and more complex texts.

Students learn to listen and understand before they learn to read. By delivering knowledge through classroom read-alouds, Amplify CKLA teaches students the key comprehension skills they’ll use throughout their reading lives.

Amplify CKLA prioritizes interactions between students, which challenge and encourage them to think about the material rather than simply receive it. Each lesson includes several opportunities and options for formative assessment and immediate adjustment to the needs of both the class and the individual students.

The end-of-domain digital assessments that follow Knowledge Domains are fully voice-acted, ensuring that each student’s comprehension skills are authentically tested. This not only builds students’ test-taking confidence, but gives you a more accurate picture of your class.

3–5 Integrated approach

By Grades 3–5, students have mastered the basics of decoding and are eager to use what they’ve learned to reach out to the world. Although read-alouds remain an important part of lessons, students are also encouraged to practice independent reading starting in Grade 3, developing their autonomy and confidence as readers alongside strong teacher support.

As students progress from K–2, writing activities start to emphasize analysis, creativity, and independent thinking about lesson materials.

Each of the units in Grades 3–5 contain a Core Quest—a special unit in which all the rules of the classroom change as students engage with language in surprising new ways. In Grade 5, for example, students learn to love the dense Shakespearian language of “A Midsummer Night’s Dream” through imagery, close reading, and performance.

Key CKLA features

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in Grades K–2, with an integrated approach to explicit instruction in Grades 3–5.

Review this Science of Reading Toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Great reading instruction starts with great decoding skills. When students build a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen.

Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Unmatched, 100% decodable books and student readers that feature engaging plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves.

Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive read-alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.

From the printed page to the screen, we bring foundational skills and knowledge of the world to your young learners, and make the transition from classroom to home learning seamless.

Download the Amplify CKLA Components Guide to see components by grade.

Amplify Caminos is an equitable Spanish language arts program for Grades K–5 that will engage your students and inspire them to become confident readers, writers, and thinkers.

Designed to support any biliteracy model (including ESL, transitional bilingual, dual language, and Spanish immersion), Amplify Caminos can be used in tandem with Amplify CKLA to provide a fully equitable, one-to-one English and Spanish solution.

Amplify ELA for Grade 6

Amplify ELA is a blended English language arts curriculum designed specifically to prepare middle school students for high school and beyond. This interactive core curriculum brings complex texts to life with lively classroom discussions and meaningful digital experiences in which students grapple with interesting ideas and find relevance for themselves.

Amplify ELA’s built-in 100-Day Pathway outlines required content for each grade level, while providing teachers time and space to teach the supplemental lessons and activities they love.

The program has received an all-green rating on EdReports—read the review.

Amplify ELA delivers:

  • A unique research-based approach designed to get all students reading grade-level text together.
  • An instructional design that inspires students to read more deeply, write more vividly, and think more critically.
  • A rich combination of dynamic texts, lively discussions, and interactive Quests that engages and inspires middle school students.

EdReports and Knowledge Matters Campaign

Amplify CKLA for Grades K–5 is among the few elementary core curricula to be both rated all green on EdReports (earning green scores across all gateways) and recognized by the Knowledge Matters Campaign for its excellence in intentionally building knowledge. Amplify ELA for grade 6 also earned all-green scores on EdReports.

Access FCPS reviewer platform

To experience Amplify’s K–6 ELA programs for FCPS, complete the following steps.

Access your teacher demo account:

  1. Access the reviewer site.
  2. Select Log in with Amplify.
  3. Enter your teacher username: t1.fcps-demo@demo.tryamplify.net  
  4. Enter your password: Amplify1-fcps-demo

Access your student demo account:

  1. Access the reviewer site.
  2. Select Log in with Amplify.
  3. Enter your student username: s1.fcps-demo@demo.tryamplify.net 
  4. Enter your password: Amplify1-fcps-demo

VA correlations

CKLA Kindergarten correlation
CKLA Grade 1 correlation
CKLA Grade 2 correlation
CKLA Grade 3 correlation
CKLA Grade 4 correlation
CKLA Grade 5 correlation

Additional reviewer resources

Amplify CKLA Program Guide (Grades K–5)
Amplify ELA Program Guide (Grade 6)
Amplify biliteracy and Science of Reading principles
Diversity, equity, inclusion, and accessibility
Text complexity
Trade books
Amplify CKLA meets Virginia Literacy Act (VLA) requirements

Get in touch

To learn more, contact Michael Kasloff at mkasloff@amplify.com.

Write better feedback for better math learning.

Research suggests that Black and Latino students pay attention to what teachers say about their work in math class, and that teacher feedback can affect their learning, motivation, and sense of belonging. Learn how to give better feedback with AI.

Two women smiling and looking at a computer screen in an office setting, surrounded by papers and educational materials.

Overview

With support from the Bill and Melinda Gates Foundation, Amplify researched the features of effective feedback for underrepresented minority students and used that research to create a generative AI tool that helps teachers give students feedback about math.

This project resulted in the following work:

  • Two literature reviews about feedback in mathematics, especially for underrepresented minority students.
  • A prompt for a large language model (LLM) that would take in written feedback and offer feedback on the feedback, helping its author learn principles of effective feedback using  principles of effective feedback.
  • A professional development activity in the Desmos Classroom platform that engages teachers in writing feedback messages about student thinking and receiving feedback on their feedback via an API call to OpenAI’s ChatGPT.

Literature reviews

We asked researchers to review literature about feedback, especially for underrepresented minority students. The researchers compiled the following literature reviews:

Stereotype Threat and Feedback (Picho-Kiroga)

Teacher Feedback: A Brief Literature Review (Good)

LLM prompt

We wrote an LLM prompt designed to take in the following context:

  • The text of a math problem
  • A student’s response to the problem
  • A teacher’s feedback to the student
  • The principles of effective feedback we distilled from the literature reviews

The prompt gives teachers feedback on their feedback, helping them learn to give effective feedback using the principles of effective feedback. The prompt and sample response:

You are a helpful and patient mathematics instructional coach who needs to support teachers who are trying to give feedback to their students on mathematics problems.

You will give feedback to teachers helping them give more effective feedback to their students. Your goal is to help teachers improve their feedback using several principles. It is important that you also use these principles when you give feedback to the teachers.

First, feedback must communicate high standards and the message that a person is capable of meeting high standards. Those responses might look like:

  • “I am giving you these comments because I have very high expectations and I know that you can reach them.”
  • “The expectations in this course are high and I know you can do great work. The feedback here is designed to help you get there.”

Second, feedback must emphasize mastery goals rather than performance goals. Feedback that incorporates mastery goals:

  • Is specific and substantive rather than one that is comparative/fosters competition.
  • Encourages perseverance, focuses on development of competence on the relevant topic and/or domain.
  • Acknowledges (praises) effort, improvement, and tells the person what is right about their work.
  • Emphasizes achieving a standard relative to mastery of content and prior performance, rather than focusing on relative performance (comparison to others).

Third, feedback needs to be in language that the person receiving it can easily understand. Feedback to students should be written at a level that a grade 6 student can read and understand. Feedback to teachers should be written at a level that a grade 12 student can read and understand.

The feedback should be concise. It should not tell the teacher the exact feedback to offer. Rather it should ask a question designed to help them think more about the principles of effective feedback we have described above.

For context, you will receive a [mathematics problem], [student response], [teacher feedback message]. Here is an example of how you can support a teacher with providing feedback that follows the principles of effective feedback:

[mathematics problem] Write the equation of this line. The line is given by the equation y = ⅔ x + 4

[student response] y = 3/2 x + 4

[teacher feedback message] That is incorrect. Try again.

Your feedback to the teacher might be:

Giving effective feedback is challenging and all of us can learn it. Here you told the student their answer is incorrect, which is important information, but doesn’t tell them what part of the task they got right. Can you change your feedback to emphasize an area where they are correct or, if you don’t see anything correct, to give them a first question to help them start?

Given the following a [mathematics problem], [student response], and [teacher feedback message], write a three-to-five sentence message to the teacher that gives them feedback on their feedback and provides an example.

A graph shows a line segment on a grid. A student answers "3" for its length, the teacher says "This is not correct," and LLM feedback suggests a more supportive response.

Teacher professional development activity

The OpenAI ChatGPT interface could help teachers develop more effective feedback, but working with it is more complex too. Teachers must input a math question, a student answer, and their original message into the context window.

We wanted to simplify that process by embedding an API call to ChatGPT in an environment that automatically collects and injects the context information. To do that, we used the Desmos Classroom Activity Builder, the same platform we use to author our Desmos Math 6-A1 curriculum.

In the professional development activity we created, teachers think about how students might respond to common math questions in middle school. They brainstorm their own responses to common wrong answers. And then they receive feedback from a helpful generative AI agent.

A screen that says: “Miko's cat has an 8-centimeter bow tie. What does the model predict for its height? The most common wrong answer to this question is 40. What feedback might you offer that student?” Next to the question is a graph that shows a scatterplot, a line through the scatterplot and Miko's cat off the line at y = 40.

Prototype: AI-enhanced Feedback Support

Desmos Math contains an interface that lets teachers write feedback to students through its software platform. We created an activity that would a) help teachers learn how to give asset-based mathematics feedback, b) introduce educators to the affordances of AI in their practice.

To use the activity:

  1. Click this activity link.
  2. Log in with a Google or Amplify account.

You will interact with ideas about feedback and several incorrect student answers. When you give your feedback on those student answers, you’ll receive AI-generated feedback on your feedback. You can revise and resubmit multiple times.

A video of the screens in the prototype that shows the AI typing a response to the teacher about the feedback for the student’s wrong answer.

User Testing: Report of Results

We invited middle school mathematics teachers to participate in this teacher feedback activity through one of our email communications. 95 teachers responded affirmatively and 44 of them ultimately participated. They accessed the activity and completed a survey about their experience.

Overall, we have significant qualitative evidence in survey responses that teachers are interested in learning more about giving effective feedback and that they are at least curious about generative AI. This particular instantiation has significant room for improvement and we will continue to investigate ways to improve the kinds of feedback Black and Latino students receive from their teachers. Read more in the below report.

Asset-oriented AI feedback for Black & Latino students at scale: Results of user testing

Contact us

ai-prototype@amplify.com

Reveal Math

Grade 6

Module 1: Ratios and Rates

Reveal MathDesmos Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathDesmos Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathDesmos Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Publisher presentation

The Lawrence Hall of Science

Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Carefully crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.
Amplify Science and Lawrence Hall of Science

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

DO

First-hand investigations are an important part of any science classroom, and Amplify Science has students getting hands-on in every unit—from building models of protein molecules to experimenting with electrical systems.

TALK

Student-to-student discourse and full-class discussions are an integral part of the program. Students are provided with numerous opportunities to engage in meaningful oral scientific argumentation, all while fostering a collaborative classroom environment.

READ

Students read scientific articles, focusing their reading activities on searching for evidence related to their investigation and, importantly, on asking and recording questions as they read through fascinating texts on 21st-century topics.

WRITE

Following real-world practices, students write scientific arguments based on evidence they’ve collected, making clear their reasoning about how a given piece of evidence connects to one of several claims.

VISUALIZE

By manipulating digital simulations and using modeling tools to craft visualizations of their thinking— just as real scientists and engineers do—students take their learning far beyond the confines of what they can physically see in the classroom in an exciting and authentic way.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to address 100% of the NGSS, and support students in mastering the Oregon Science Standards.

Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Unit types

While every unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, each unit also serves a unique instructional purpose.

In grades 6–8:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Unit sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.

In fact, our multi-modal instruction offers more opportunities for students to construct meaning, and practice and apply concepts than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

Three columns listing education curriculum topics for grades 6, 7, and 8, focusing on science themes such as microbiomes, mars geology, and harnessing human energy.

Program components

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Amplify Science TG

Hands-on learning is an essential part of Amplify Science, and is integrated into every unit. Students actively participate in science, playing the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them. Every unit includes hands-on investigations that are critical to achieving the unit’s learning goals.

A young person wearing gloves looks through a microscope at a table with laboratory supplies, including bottles, slides, and a tray, against a plain blue background.

More hands-on with Flextensions:
Hands-on Flextensions are additional, optional investigations that are included at logical points in the learning progression and give students an opportunity to dig deeper if time permits. These activities offer teachers flexibility to choose to dedicate more time to hands-on learning. Materials referenced in Hands-on Flextension activities will either be included in the unit kit or are easily sourced. Supporting resources such as student worksheets will be included as downloadable PDF files.

Our kits include enough materials to support 200 student uses. In other words, teachers can easily support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean teachers just grab the tub they need and then put it all back with ease.

Amplify Science California supports 3-D learning with more materials than any other program.

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

In grades 6–8, one copy of the Student Investigation Notebook is included in each unit’s materials kit for use as a blackline master. Each notebook is also available as a downloadable PDF on the Unit Guide page of the digital Teacher’s Guide.

Two booklets titled "El clima cambiante de la Tierra: la desaparición del hielo" and "Earth’s Changing Climate: Vanishing Ice" with landscape illustrations on the covers.

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.

Full coverage of the Oregon Science Standards

Amplify Science was designed from the ground up to meet the Next Generation Science Standards (NGSS). As such, it aligns to the Oregon Science Standards, which were also borne out of the NGSS.

The guidance below is meant to provide support for integrating additional activities that support full coverage of Oregon’s standards. Organized by grade level, each section below will outline:

  • Additional activities that support 100% alignment to the Oregon Science Standards.
  • The standard being addressed with the activities.
  • The recommended placement of the activities within a specific Amplify Science unit.
  • PDFs of any accompanying materials that are necessary to implement the activities.

Activity Title: Meet a Scientist Who Changed How We Think About Brain Cells

About this activity: In this activity, students read a short article about a scientist who studied the nervous system.

Recommended placement: Metabolism unit, Lesson 3.2

Materials:

Instructions: Download the PDF “Meet a Scientist Who Changed How We Think About Brain Cells” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Meet a Scientist Who Studies Underwater Currents

About this activity: In this activity, students read a short article about a scientist who studies ocean currents.

Recommended placement: Oceans, Atmosphere, and Climate unit, Lesson 2.1

Materials:

Instructions: Download the PDF “Meet a Scientist Who Studies Underwater Currents” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Meet a Scientist Who Studies How the Environment Affects Our Traits

About this activity: In this activity, students read two short articles, one about current research on genes and proteins, and one about a scientist who is studying how the environment can affect our traits.

Recommended placement: Traits and Reproduction unit, Lesson 2.4

Materials:

Instructions: Download the PDF “Meet a Scientist Who Studies How the Environment Affects Our Traits” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Who Becomes a Space Scientist?

About this activity: In this activity, Students read a short article about a scientist who studies space.

Recommended placement: Geology on Mars unit, Lesson 3.1

Materials:

Instructions: Download the PDF “Who Becomes a Space Scientist?” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Meet a Scientist Who Studies How Plants Find Water Underground

About this activity: In this activity, students read a short article about a scientist who studies how plants’ roots get water.

Recommended placement: Matter and Energy in Ecosystems unit, Lesson 1.6

Materials:

Instructions: Download the PDF “Meet a Scientist Who Studies How Plants Find Water Underground” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Bringing Back the Buffalo

About this activity: In this activity, students change one competing population to try to decrease the other in the Sim, and read a short article about a scientist who studies buffalo.

Recommended placement: Populations and Resources unit, Lesson 3.2

Materials:

Instructions: Download the PDF “Bringing Back the Buffalo” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Rereading “A Continental Puzzle”

About this activity: In this activity, students reread “A Continental Puzzle” and think about how patterns were helpful to Wegener’s work.

Recommended placement: Plate Motion unit, Lesson 3.2

Materials:

Instructions: Direct students back to “A Continental Puzzle” above and remind students of the Active Reading guidelines. Before students re-read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Meet a Scientist Who Studies Variation in Monkey Populations

About this activity: In this activity, students read a short article about a scientist who studies variation of traits in monkey populations.

Recommended placement: Natural Selection unit, Lesson 1.6

Materials:

Instructions: Download the PDF “Meet a Scientist Who Studies Variation in Monkey Populations” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Extinctions and Human Impacts

About this activity: The purpose of this lesson is for students to see how increases in human population and consumption of natural resources can negatively impact Earth’s systems.

Recommended placement: Natural Selection unit, Lesson 4.5

Materials:

Instructions: Download the PDF “Extinctions and Human Impacts” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Steno and the Shark

About this activity: In this activity, students read a short article about Nicolas Steno, a scientist from the 1600s whose studies of fossilized sharks’ teeth embedded in rock layers laid the foundation for the modern understanding of stratigraphy.

Recommended placement: Evolutionary History unit, Lesson 2.4

Materials:

Instructions: Download the PDF “Steno and the Shark” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Activity Title: Scale in the Solar System

About this activity: In this activity, students read and annotate the articles “Scale in the Solar System” and “The Solar System Is Huge.”

Recommended placement: Earth, Moon, and Sun unit, Lesson 1.2

Materials:

Instructions: Download the PDF “Scale in the Solar System” above and remind students of the Active Reading guidelines. Before students read the article, invite them to share prior experiences. Then have students complete the copymaster above.

Explore your print samples

Amplify Science physical samples can be found at the Hamersley Library at Western Oregon University. There you’ll find unit-specific Teacher’s References Guides and Student Investigation Notebooks for each grade level.

A note about the Teacher’s Reference Guides:

It’s important that your committee sees the full breadth and depth of our instruction. For that reason, we provided a copy of each of our unit-specific Teacher Reference Guides.

Rest assured that teachers do not use these robust reference guides for day-to-day teaching. For that, we have a hands-free TG!

A laptop screen shows an energy simulation, with surrounding text and diagrams explaining the Earth's system and energy flow.
  • Teacher Reference Guide: Unlike a typical TG that requires a series of supplemental books to support it, our encyclopedic reference guide is chock-full of everything a teacher needs to fully implement our program and the NGSS.
  • Ready-to-Teach Lesson Slides: For daily instruction, teachers need their hands free. That’s why we created ready-to-teach lesson slides for every single lesson What’s more, they are editable and include suggested teacher talk and point-of-use differentiation and other instructional tips. Click to learn more.

A note about the Materials Kits:

Hands-on learning is at the heart of Amplify Science, and is integrated into every unit. In order to make hands-on learning more manageable for busy teachers, Amplify Science materials are organized into unit-specific kits.

Stacked storage bins with labels, arranged neatly; caption notes they are a sample and may not reflect actual quantities or sizes.

Our unit-specific kits:

  • Include more materials — We give teachers enough materials to support 200 student uses.
  • Are more manageable — Unlike other programs that require large groups of students to share limited sets of materials, our kits include enough to support small groups of 4–5 students.
  • Include supportive videos — Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

At your request, we did not include our materials kits with our submissions samples. However, we did provide grade-specific lists of all materials included in each kit, which you can also find with the links below.

Access your digital samples

Explore as a teacher

Follow these instructions to explore the Amplify Science digital platform as a teacher.

  • Click the Access Amplify Science Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username and password found on your unique login flyer enclosed in your physical sample box.
  • Click the Science icon.
  • Click on the Grade Menu in the top center of the screen and select any grade.
  • Select any unit.

To help familiarize yourself with navigating the digital platform, watch the below navigational video.

Explore as a student

Follow these instructions to explore the Amplify Science digital platform as a student.

  • Click the Access Amplify Science Platform button below.
  • Select Log in with Amplify.
  • Enter the student username and password found on your unique login flyer enclosed in your physical sample box.
  • Click the Science icon.
  • Click on the Grade Menu in the top center of the screen and select any grade.
  • Select any unit.

Resources to support your review

Oregon standards correlation for grades 6–8

QCD Science Adoption Criteria 2022 for grades 6-8

QCD IMET Citation guidance for grades 6-8

Oregon Science IMET for grades 6-8 (Excel download)

Oregon QCD-IMET Citation guidance for grades 6-8

Research behind Amplify Science

Phenomena in grades 6–8

Program structure for grades 6–8

Active Reading in grades 6–8

Engineering in Amplify Science

Approaches to assessment in grades 6–8

Oregon Enhanced ELA State Review for K–5

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What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
A diagram illustrates two processes, language comprehension and word recognition, integrating into reading comprehension with colorful braided strands and related educational materials.

How does Amplify Caminos work?

Daily instruction

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds background knowledge in the Amplify Caminos Conocimiento strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Formative and summative assessments

A young boy sitting at a desk writes in a notebook with a pencil; another student is seated beside him, also writing.

Amplify CKLA features a progression of moment-by-moment assessments to benchmark assessments. Assessment and feedback give teachers the information they need to differentiate instruction effectively.

Checks for Understanding
Each lesson segment incorporates checks for understanding to increase engagement and to let teachers make real-time adjustments to their instruction.

Formative Assessment
Each lesson goal is tied to a formative assessment opportunity, allowing teachers to see which students need more support with a benchmark.

Mid- and End-of-Unit Assessments
Mid-Unit and End-of-Unit Assessments provide valuable information on the skills and content students have mastered. Digital end-of-unit assessments are available on a variety of platforms.

Benchmark and Placement Assessments
Benchmark and Placement Assessments help teachers set goals and monitor the growth of each student, providing a baseline at the beginning of the year and ensuring students are advancing toward grade-level objectives.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

A collage of Spanish-language educational book covers and pages featuring illustrated scenes, including a rabbit, a person observing stars, and children playing outside.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Commitment to equity and diversity

Amplify Caminos builds students’ knowledge about the world, helping them see people who resemble them and their familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.

In addition to teaching all students to crack the written code (which is vital for equity), the Amplify Caminos program helps students celebrate their own unique identities and experiences while also seeing the strengths and experiences we all share.

Two astronauts in space suits float above planets, a woman sings with musical notes, a hot air balloon with passengers flies, and a person sketches a landscape in a colorful, whimsical scene.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors.

Three Spanish-language children's books are displayed: "La flor de oro," "El conejo en la Luna," and "El secreto de las hormigas," each with illustrated covers.

Our decodable Student Readers celebrate students’ diverse experiences and feature individuals with a broad range of identity factors, including socio-economic status, age, ability, race, ethnicity, country of origin, and more.

Five colorful children's books in Spanish are displayed, featuring illustrated covers with diverse characters, a llama, and a giant cactus.

Our new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.
Three illustrations: children swimming in a pool, a diverse group of four people standing, and people caring for a tree surrounded by plants and glowing light.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Sample materials

Demo access

A laptop screen displays the Amplify login page with options to log in using Google, Clever, Amplify, QR code, District SSO, or get help.

Follow the instructions below to access your demo account.

  • Click the Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username:

          t1.montgomery2024ela@demo.tryamplify.net

  • To explore as a student, enter this username:

          s1.montgomery2024ela@demo.tryamplify.net

  • Enter the password: Amplify1-montgomery2024ela
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Check out these additional resources

Caminos review resources:

Amplify Classroom and Polypad free and commercial use guidelines

If you’d like to use Amplify’s tools or content in your work, please review these guidelines to determine if your specific use is allowed and whether you need to submit a request for approval.

Overview

Amplify Classroom offers free prebuilt interactive and print-based lessons, interactive lesson-building tools, and Polypad virtual manipulatives. See amplify.com/classroom and polypad.amplify.com for more information.

Amplify Classroom features:

  • Activity Builder (labeled “Custom Activities” in the platform): This content-creating and publishing tool enables educators to create their own interactive lessons and edit existing lessons.
  • Polypad virtual manipulatives: These virtual manipulatives allow teachers and students to explore concepts, express their creativity, and visualize their thinking. Polypad virtual manipulatives can be embedded directly into lessons via Activity Builder or used as a stand-alone, dynamic workspace.
  • Computation Layer: This feature enables educators to further customize lessons created with Activity Builder. Computation Layer is the code that allows components within the lessons to “talk” to one another, enabling users to connect representations; customize content; and provide dynamic, interpretive feedback. Computation Layer is accessible through Activity Builder.

Amplify Classroom includes activities and lessons across many subjects, created by the thousands of educators on our platform. Content created by Amplify is tagged “By Amplify,” “By Amplify Classroom,” or “By Desmos Classroom.”

Amplify also publishes paid core curriculum programs, including Amplify Desmos MathAmplify ScienceAmplify CKLAAmplify Caminos, and Amplify ELA. These products can be reviewed and purchased by schools or districts interested in comprehensive resources aligned to standards and designed to motivate students. Some of the lessons that are free to use on Amplify Classroom (labeled Try It! lessons) are also part of these paid products. Learn more about our products and request a sample.

Amplify Classroom tools and content (other than paid products) are free for personal, educational, and non-commercial use, subject to our Acceptable Use Policy and Usage Guidelines. These guidelines also permit certain commercial uses. You generally don’t need to submit a request to use our free tools and resources for the permitted purposes covered in these guidelines. As long as you are following our Acceptable Use Policy and Usage Guidelines, as well as making appropriate Attributions and Disclaimers, you are permitted to move forward with your project. To make sure your use is permitted, please read these guidelines thoroughly and in their entirety. If you would like to explore a license for a use not permitted here, please submit this form.

Amplify does not own but partners with Desmos Studio, the maker of a suite of free math tools, including a graphing calculator used by over 75 million people around the world. (See desmos.com for more information.) Please contact Desmos Studio for information on using their content or tools.

Usage guidelines

Please adhere to the following guidelines for using Amplify Classroom tools and content in each of the scenarios set out below. You are required to follow our General Guidelines and Attribution requirements below when making permitted uses. You are responsible for clearing any third party marks and content you use in your applications or publications.

Uses labeled “PERMITTED USES” do not require permission, and you do not need to tell us about them—but we do appreciate hearing from you! Feel free to fill out this form to tell us about how you are using our tools and materials, and the ways in which you are finding them useful.

Uses labeled “CONTACT US” do require permission. If you are interested in such use, please submit this form, and someone from our team will endeavor to follow up with you as soon as possible.

Teaching and education services

This section provides guidelines on using Amplify Classroom for teaching and education services.

PERMITTED USES A green checkmark symbol on a light background. Educators creating, modifying (where permitted), and using Amplify Classroom content for classroom teaching in a school
  A green checkmark symbol on a light background. Public school districts, charter schools, and networks creating, modifying (where permitted) and using Amplify Classroom content for classroom teaching
  A green checkmark symbol on a light background. Private tutors creating or using Amplify Classroom content in 1:1 or small-group tutoring sessions
CONTACT US A large red "X" symbol on a light gray background. For-profit school or network of schools implementing Amplify Classroom for the school or network
  A large red "X" symbol on a light gray background. Education publishers and EdTech organizations (whether for profit or non-profit) using or linking to Amplify Classroom content and tools
  A large red "X" symbol on a light gray background. Any organizations or individuals embedding the teaching and learning experience from the Amplify Classroom lessons in their websites or applications (except API/iFrames Polypad integrations permitted below)
  A large red "X" symbol on a light gray background. Educators or other individuals authoring lessons for commercial purposes (e.g., to sell on Teachers Pay Teachers and similar websites)
  A large red "X" symbol on a light gray background. School districts, states, education publishers or technology providers, educators or any other individual or organization (whether for profit or non-profit) using Amplify Classroom content or platform to create paid curricula, educational courses, assessments, or any materials or curricula for submission for a state adoption list; or for offering, marketing, or sale to any schools or educational agencies or organizations, in or outside of the U.S.
  A large red "X" symbol on a light gray background. Instructional/tutoring organizations (whether for profit or non-profit), seeking to use Amplify Classroom for its tutors or instructors

Print and presentations

This section provides guidelines on including content from Amplify Classroom, such as portions of free lessons or images generated using our tools, in printed materials or presentations.

PERMITTED USES A green checkmark symbol on a light background. Books, including textbooks, up to two thousand copies
  A green checkmark symbol on a light background. Periodicals (newspapers, magazines, journals, etc.)
  A green checkmark symbol on a light background. Business documents such as company reports, proposals, presentations, etc.
  A green checkmark symbol on a light background. Academic publications, research papers, Ph.D. theses, and portfolios
  A green checkmark symbol on a light background. Conferences, presentations and accompanying slides
CONTACT US A large red "X" symbol on a light gray background. Books, more than two thousand copies, or as cover art for a book
  A large red "X" symbol on a light gray background. As content within platforms, mobile and tablet applications, PDFs, ebooks, multimedia materials, or other digital resources or products
  A large red "X" symbol on a light gray background. Consumer and retail goods or packaging (e.g., shirts, beach towels, shower curtains, mugs, posters, stationery)

Web and apps

This section provides guidelines for embedding Amplify Classroom tools into your platform.

PERMITTED USESA green checkmark symbol on a light background.Individuals and schools embedding Polypad in their materials for instructional use are permitted to do so; for integration options, see below.
 A green checkmark symbol on a light background.Organizations (whether for profit or non-profit) offering paid services embedding Polypad with <10k requests per year
CONTACT USA large red "X" symbol on a light gray background.Organizations (whether for profit or non-profit) offering paid services embedding Polypad with >10k requests per year
 A large red "X" symbol on a light gray background.Individuals or organizations looking to embed Activity Builder/Computation Layer in their applications
 A large red "X" symbol on a light gray background.Individuals or organizations looking to embed Amplify Classroom tools in larger applications, more complex integrations, white-labeling, or hosting Amplify’s JS files on their own infrastructure
 A large red "X" symbol on a light gray background.Polypad links, screenshots, iFrames, or API uses behind a paywall

Polypad integration options

There are two integration options for using Polypad within your own applications, including:

  • Using iFrames hosted by Amplify.
  • As a white-labeled JavaScript API that can be self-hosted and embedded in other websites or apps.

Developers can customize the features and behavior through numerous options and event listeners, and interact with the canvas programmatically to build custom functionality.

Visit the Polypad API page to learn more about Polypad API license terms and to generate API Key.

General guidelines

Copyright fair use

Your use of our content may be acceptable under principles of fair use (or other similar concepts in other countries). Under the fair use doctrine of the U.S. Copyright Act of 1976, it is permissible to use limited portions of a work for purposes such as commentary, criticism, news reporting, research, and scholarly reports.

Whether a particular use qualifies as fair use depends on a number of factors. For more information see resources from the U.S. Copyright Office, Circular 21Reproductions of Copyrighted Works by Educators and Librarians, and Fair Use Index. Amplify can’t tell you if your use of this content would be fair use, so you may wish to obtain your own legal advice.

Use of trademarks

Our trademarks are valuable assets of Amplify and its licensors, and we want to ensure our users and partners use them correctly. These trademarks include the Amplify word mark and logo, Polypad word mark, Core Knowledge Foundation word mark and logo, the Lawrence Hall of Science word mark and logo, and the Desmos and Amplify Classroom word marks and logos.

Logos

Our logos can only be used if you have an existing partnership, and you’ve reached out to your Amplify contact to secure formal approval from Amplify’s brand team.

Logos must never be used in a way that implies an endorsement or affiliation with Amplify where such a relationship does not exist.

Please contact media@amplify.com if you need to use an Amplify or Amplify Classroom logo.

Please contact Desmos Studio for Desmos Studio branding guidelines and licensing.

Use of product names and features

If making a use permitted under these guidelines or approved by Amplify, you may use the Amplify name or one of our product names or features in plain text to indicate that your product or service integrates with, or relates to, an Amplify product or service.

However, all references must be honest and accurate, and you can’t incorporate these names into your own name or imply an endorsement by Amplify or any of its licensors.

REQUIREDA green checkmark symbol on a light background.Use the complete name “Amplify Classroom” when referencing the platform.
 A green checkmark symbol on a light background.Use “Amplify Classroom lessons” when talking about specific lessons authored in the Amplify Classroom platform.
 A green checkmark symbol on a light background.Use “Teacher-created Amplify Classroom lessons” or “[Company name]-authored Amplify Classroom lessons” when talking about a lesson that has been authored by anyone other than Amplify personnel.
 A green checkmark symbol on a light background.Include required attribution and disclaimers.
PROHIBITEDA large red "X" symbol on a light gray background.Do not imply an endorsement or affiliation with Amplify where such a relationship does not exist.

Attribution and disclaimers

You are required to include a link to the homepage of Amplify Classroom (amplify.com/classroom) and a prominent disclaimer of affiliation when making permissible uses described above in at least one place in your materials, preferably the cover page or landing page.

Visit Amplify Classroom for free lessons, lesson-building tools, and Polypad virtual manipulatives at amplify.com/classroom. This content is not affiliated with, sponsored by, or endorsed by Amplify or any of its licensors. Amplify®, Amplify Classroom, and related trademarks are the property of Amplify Education, Inc.

If your current attribution language refers to Desmos Classroom, please update the attribution to “Amplify Classroom” instead of “Desmos Classroom.”

Contact us

Amplify Classroom and Polypad usage inquiry form for uses labeled “Contact Us”

Thank you for your interest in using Amplify Classroom and/or Polypad. If your intended use falls into one of the categories labeled “Contact us,” please fill out this form, so we can determine the appropriate permissions or licenses:

Country(Required)
Agreement and Next Steps(Required)

Amplify Classroom and Polypad usage inquiry form for uses labeled “Permitted”

Thank you for your interest in using Amplify Classroom and/or Polypad. If your intended use falls under the “Permitted” categories outlined in our use guidelines, please let us know by filling out the form below. This helps us understand how our tools are being used.

Note: If your intended use falls under one of the “CONTACT US” categories outlined in our use guidelines, please fill out this form.

Amplify Classroom and Polypad Permitted Use Form