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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 

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.

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

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

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

Teaching tips for educators, from educators

Every teacher remembers one piece of advice they received from a mentor or colleague. And maybe every teacher has a couple of priceless nuggets they love to offer others.

It probably won’t surprise you, then, to learn that there’s also loads of research proving the power of teacher collaboration and co-learning—including its positive impact on students. That’s why we’re excited to present Teacher Connections, our new and always-growing collection of videos with practical advice and tools from educators just like you.

Whether you want advice on bringing literacy instruction into the science classroom, or introducing new high-quality instructional materials (HQIM) or approaches based on the Science of Reading, there’s an educator in our portal with something to offer.

Keep reading to hear more about this exciting new tool!

Educators sharing advice: A win-win

John Hattie’s seminal book, Visible Learning: A Synthesis of Over 800 Meta-Analyses Relating to Achievement, brings together numerous studies to identify the strongest influences on student success. Key among them? Teachers working collaboratively and sharing their expertise with one another.

Hattie’s book is part of a body of research that shows that when teachers engage in collaborative practices such as sharing advice, exchanging ideas, and reflecting on their teaching practices, they become better teachers—which translates to better outcomes for students.

Bonus: When teachers collaborate and support one another, they develop a shared belief in their ability to make a difference in students’ lives. That belief motivates them to continuously adapt and improve to meet the diverse needs of their students.

Professional development on demand

Professional development for teachers comes in many forms. And it’s important that educators get opportunities to take quality time out of the classroom to dive into trainings, seminars, webinars, structured mentorships, professional learning communities, and more. But now, with Teacher Connections, educators can also get advice whenever they like. You can look specifically for advice by academic topic or program, or surprise yourself with tips you didn’t know you needed—such as California 6th-grade teacher Ryan Rudkin’s unique reward system she calls “phone Fridays.” You can also grab coffee and a snack and binge-watch them all.

Welcome to your Amplify Science California pilot!

We’re thrilled to welcome you to the Amplify family, and we look forward to making your experience with Amplify Science California successful from day one.

On this site, you’ll find resources, tips, videos, and other helpful information designed to support you throughout your pilot experience.

Collage of three images showing children engaged in various activities: two boys with a book, two girls using straws, and a group watching intently. Connected by abstract lines and circles.
A woman sits at a table, using a laptop and a textbook. She is in a classroom with shelves of educational supplies in the background.

Tips for getting started successfully

It takes time to learn any new program and get used to its patterns and flow—time that you aren’t always afforded in a pilot situation. Based on our work with thousands of pilot teachers who are now happy users, we can tell you with 100% confidence that it gets easier. In no time, you’ll be preparing and delivering all your lessons with ease.

Until you become comfortable with the organization of each unit and how one lesson flows into the next, the following resources will be key in helping you prepare to teach your first unit.

Unit Guide

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.

Ready to download? Navigate to your grade level using the menu bar above, scroll to the Unit Types section, and then download the appropriate Unit Guide(s).

Cover and inner pages of a unit guide titled "Patterns of Earth and Sky" for Grade 5, featuring text explanations and images related to science concepts.
Laptop screen displaying an educational website with a lesson on "tortoise parts" featuring a colorful turtle graphic on the header.

Lesson Overview

Reading this short summary is a great way to get a quick snapshot of the learning that will take place during the day ahead. It includes a short description of the lesson, student learning objectives, and an at-a-glance list of activities.

Where to find it? Log into the digital Teacher’s Guide and navigate to the lesson you want to teach by following this click path: Grade Level > Unit > Chapter > Lesson. Next, scroll to the Lesson Brief section and click Overview. This same information is also found in your printed Teacher’s Reference Guide.

Material and preparation tips

Also found in the Lesson Brief section of your digital Teacher’s Guide and printed Teacher’s Reference Guide is a complete list of materials that you’ll need to gather as well as step-by-step lesson preparation tips organized by:

  • Before the Day of the Lesson
  • Immediately Before the Lesson
  • At the End of the Day
A laptop screen displays the Amplify Science platform, showing a lesson plan titled Materials and Preparation with text boxes detailing teaching steps and preparation tips.
A screenshot of an academic paper about "animal and plant defenses" showing a table of contents with 30 statements, organized into lessons and chapters.

3-D Statements

Color-coded for easy readability and quick scanning, our 3-D Statements can be found at point-of-use for every unit and lesson, making it easy to pinpoint the exact SEPs, DCIs, and CCCs that will be targeted on any given day.

Where to find them? Log into the digital Teacher’s Guide and navigate to any Unit Guide or Lesson Brief and click the expandable box called 3-D Statements. A complete list of 3-D Statements can also be found in the back of any printed Teacher’s Reference Guide.

Coherence Flowcharts

These are another great tool for helping you visualize the flow of a unit and the connections between the questions that drive students’ experiences and:

  • The evidence they gather
  • The solutions they figure out
  • The new questions they generate

Where to find them? Log into the digital Teacher’s Guide, navigate to your desired unit, scroll to the Unit Guide, and look in the Printable Resources section.

Amplify Science California supports you every step of the way on your journey to the California NGSS.

Support is always within reach

Your role as a pilot teacher is important. Your district is counting on you not only to evaluate how Amplify Science California works in your classroom, but also to pick a reliable and supportive long-term partner. We feel confident that we’re that partner, and we look forward to proving that to you during your pilot experience.

Just as it will be when you become a customer, support during your pilot will always be within reach through the following channels.

Pilot support coordinator

Your dedicated pilot support coordinator has extensive experience delivering training, rostering students, answering both pedagogical and technical questions, and delivering demonstration lessons. Said another way, he or she is here to help. So, don’t hesitate to reach out.

Who is my pilot support coordinator? Look for his or her contact information in the pilot support brochure that you received during your pilot implementation training.

Amplify Science California supports you every step of the way on your journey to the California NGSS.
Interface of an educational website on animal and plant defenses, featuring chapter tiles with illustrations, and a chat support window labeled 'Hi Teacher' offering new conversation options.

Intercom chat

In addition to traditional lines of communication, our Intercom feature gives you the ability to chat with our customer support, technical support, and pedagogical support teams in real time directly from the digital platform. This ensures that issues that arise in the classroom can be addressed as quickly as possible.

Support teams can be reached from 4 a.m. to 4 p.m. PST, Monday through Friday.

Email

Our customer support, technical support, and pedagogical support teams can also be reached by email at help@amplify.com.

Support teams can be reached from 4 a.m. to 4 p.m. PST, Monday through Friday.

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Welcome, Program 6 reviewers, to Amplify CKLA California Transitional Kindergarten!

We’re honored to introduce you to Amplify Core Knowledge Language Arts (CKLA) California Transitional Kindergarten (TK). We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA/ELD Framework and the California Preschool/Transitional Kindergarten Learning Foundations (PTKLF) to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

Print samples

You will receive three boxes of physical samples as part of your review. Box 1 will contain your Reviewer Binder. This binder contains logistical information and printed copies of the Evaluation Criteria Map and Foundations Alignment Map. Boxes 2 and 3 will contain physical samples. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder.

Digital samples

In order to access your digital samples, you’ll need to log in to our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer navigation video] Amplify CKLA California TK

Category 1: English Language Arts (ELA) content/alignment with Foundations

Alignment documents

The links below provide the alignment documents for Amplify CKLA California Transitional Kindergarten.

Category 2: Program Organization

Program structure

Amplify CKLA California Transitional Kindergarten is a comprehensive English language arts curriculum designed to prepare young children for later reading success by building foundational language and literacy skills. Amplify CKLA California TK materials and instruction provide explicit, systematic support for developing young children’s language, literacy, and content knowledge within the context of developmentally-appropriate early childhood settings, incorporating and reflecting the key themes and practices of the CA PTKLF and Framework.

[Reviewer highlight video] Program organization

The flexible pacing recommendations of the program provide teachers with options to decide how best to keep students engaged while completing Amplify CKLA California Transitional Kindergarten instruction (e.g., wiggle breaks, hands-on participation, singing songs, brain breaks, etc.).

[Reviewer highlight video] Lesson organization

The literacy skills, vocabulary, and content knowledge developed in Amplify CKLA California Transitional Kindergarten are explicitly designed to provide a foundation for the skills and content taught in TK classrooms. The teacher-directed and student-led activities in Amplify CKLA California Transitional Kindergarten reflect all strands of the CA PTKLF foundational language sub-domains:

  • Listening and speaking
  • Foundational literacy skills
  • Reading and writing

Amplify CKLA California TK domains of instruction are carefully chosen and sequenced to build prerequisite knowledge so that students can use that knowledge as they assimilate new, more complex information. The seven domains in Amplify CKLA California Transitional Kindergarten are:

  • Important People in American History
  • All About Me
  • Families and Communities
  • Classic Tales
  • Plants
  • Animals
  • Habitats

Amplify CKLA California TK empowers teachers to deliver effective instruction and keeps students engaged with with the following resources:

  • Teacher Guides
  • Flip Books
  • Image Cards
  • Center Cards
  • Activity Pages and Take-Home Pages
  • Nursery Rhymes and Songs Posters
  • Big Book: Classic Tales
  • Trade Books

Activities are play-based, engaging, challenging, and adaptive for the full range of TK learners. Teacher materials also support teachers and aides in facilitating activities, establishing routines, and identifying effective procedures.

Scope and sequence

Click here to view the scope and sequence for Amplify CKLA California Transitional Kindergarten. 

Category 3: Assessments

Amplify CKLA California TK assessments are designed to provide a snapshot of whether or not each student is mastering specific Core Content and Language Arts Objectives. The program incorporates multiple methods of assessing what students know and are able to do in each domain. Methods of assessments include:

  • Observational/anecdotal assessments.
  • Reteaching moments with aligned progress monitoring.
  • Portfolio Collections (student work samples).
  • Task assessments.
  • Developmental progression monitoring.

Amplify CKLA California TK provides tools to facilitate collecting, analyzing, and sharing data on student progress and development. These include:

  • Ready-made data collection forms with scoring guidelines (Not Yet, Progressing, Ready).
  • Caregiver communication letters.

[Reviewer highlight video] Program alignment to Category 3

Category 4: Universal Access

Amplify CKLA California Transitional Kindergarten materials provide students with a range of skills and abilities, with opportunities for participation across all contexts of differentiated instruction in reading, writing, speaking, listening, and language.

Examples include the following:

  • Teacher Guides feature sidebar differentiation tips.
  • Classroom routines, such as taking attendance, rely on both visual and verbal prompts that can be individually tailored to students’ needs.
  • Small-group activities often include suggested rounds of play that increase with difficulty and give teachers the choice to move forward to increase the level of challenge or repeat levels of play that prove challenging.
  • Extension activities involve materials that can be adapted to scaffold students in a variety of ways; teachers can provide more or less structure and input depending on the needs of the students.
  • Differentiation supports grounded in UDL include visuals, realia, multimodal instruction, and other materials relevant to all students.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California TK empowers teachers to deliver effective instruction with various resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Teacher materials

Planning and preparation resources

Each Teacher Guide contains all the information needed for each day of instruction. The following sections are included in each Teacher Guide:

  • Assessments
  • Introduction
  • Learning Centers
  • Transitions
  • Starting the Day
  • Skills Instruction
  • Listening & Learning Instruction
  • Pausing Points

The Domain Calendar shows the titles of activities and read-alouds taught on each day of instruction throughout the entire domain during the three main contexts for instruction:

  • Starting the Day
  • Skills
  • Listening & Learning

Caregiver supports

The home-school connection letter template provides an easy way to share important information and set expectations with caregivers at the beginning of the school year.

Caregiver letters suggest ways parents and caregivers can support and reinforce learning at home through everyday activities. They also include high-quality texts and nursery rhymes and songs that parents can use to support students’ learning.

Building math lessons: The playful side you never knew existed

Two people smiling in separate circles; one has a cartoon corgi icon, the other shows math blocks—perfect for celebrating early literacy skills—all set on a cheerful yellow background.

When you think of what goes on behind the scenes of building Amplify Classroom lessons, you probably envision carefully calculated math formulas and complicated equations, right?

Not exactly. Meet Sara Barring and Sean Sweeney from our interaction development team! They create animations and interactions for many of our most popular math lessons, and one day they decided to record some of their work sessions. What began as a simple “Wouldn’t it be fun…” conversation turned into something pretty remarkable: a front row seat to their joyous exploration of math.

Sean and Sara spend their days bringing math problems to life using Activity Builder, Amplify Classroom’s lesson-building tool. Their goal is to encourage students to explore their own thinking, moving beyond traditional right-and-wrong feedback. Instead of being told “no” when a guess is off, students get visual Responsive Feedback that demonstrates the meaning behind their thinking. In the grade 6 lesson Weight for It, for example, the animation shows them what would happen if the dog actually weighed what they guessed!

Sean and Sara help create a safe, playful space where making a mistake isn’t a failure, but a visual stepping stone that encourages students to try again. This creative process is exactly what they decided to capture on camera. Their video series, “Graph Time With Sara and Sean,” reveals what happens when pure curiosity guides work in graphing mathematics. Each episode opens the window into a genuine, surprising discovery, showing the magic happens when you stop worrying about perfection. Watching these videos, even those who feel intimidated by math or think math isn’t for them may feel inspired to try it themselves.

Redefining mistakes as happy accidents

In any field, the word “mistake” can feel loaded. But for Sara and Sean, the process of creating math animations is less about avoiding mistakes and more about seeing what happens.

A great thing about working in Activity Builder’s graphing calculator, Sara notes, is that you can immediately see how every adjustment affects the animation. This instant visibility helps shift your perspective—an unexpected result isn’t a failure, but a happy accident. According to Sara, these moments provide a pivot point into a new, unplanned direction.

Take one episode of “Graph Time” that wouldn’t exist without a happy accident Sean had while trying to create a firework animation for one of our lessons. That “mistake” led to the discovery of unexpected mathematical patterns that the team may not have found otherwise. These patterns seem to magically emerge from simple sine and cosine functions, revealing flower-like designs, perfect circles, and intricate geometric shapes that feel limitless in their variety, proving that mathematical beauty often reveals itself through curious experimentation rather than careful planning.

Sara and Sean hope to show viewers the reality of their work–with all the struggles, detours, and joy. You might expect someone who creates math animations all day to have their steps carefully mapped out. “We don’t,” Sean says, “and that’s part of what we like about it.”

The ripple effect: Transforming math culture

Sara and Sean’s playful approach to building curriculum content creates waves they hope will extend beyond their own creative joy, inspiring a new generation of math explorers.

For teachers, these videos offer more than just creative techniques—they provide a blueprint for shifting classroom culture. Sean emphasizes that viewers are seeing “the real work they do every day,” providing educators with an authentic model for bringing genuine excitement to mathematical learning. Sara, drawing from her teaching background, recognizes the transformative power of just changing the narrative: “Math gets such a bad rep a lot of the time, so even if Graph Time with Sara and Sean just offers a positive rebrand on some things, I think that’s powerful, too.”

When students see people having fun with math, through teachers or videos like “Graph Time With Sara and Sean,” they begin to see math as an invitation to explore. Sean and Sara are hoping they can help students find their own magic, making math less about intimidation and more about fun.

Check out Sara and Sean’s videos to see their graphing creations in action!

Ready to create your own amazing math adventures? Check out our Lesson Building Toolkit for bite-size tutorials on making your own lesson creations with Amplify Classroom.

Math that motivates your K–5 students

As a K–5 teacher, your day is a constant balance of subjects, personalities, and priorities. With so many different dynamics and responsibilities, math class shouldn’t be another struggle to muscle through!

That’s why we’ve compiled a wealth of resources and activities to help you engage students; meet instructional goals; and encourage fluency, number sense, and discussion in your classroom. 

Three children paint the walls of a room; one holds a paper with the fraction 2/3, while math symbols and a tree appear in the background.
A booklet titled "The Power of Fluency: Cultivating Flexible, Confident Problem-Solvers" with an illustrated cover and an open page showing text and graphics about classroom fluency.

The power of fluency

Teachers work to achieve so many outcomes during their math block. While balancing multiple priorities, it’s important to remember that procedural fluency remains integral to student learning. Access this guide to unpack the power of fluency and find free math fluency practice to use in your next lesson.

10 low-prep, high-impact math activities that get to some serious math

Envision your classroom engaged in a difficult math task—all students are participating, leveraging different scaffolds that you intentionally prepared ahead of time. Engagement is high, and students are both challenged and motivated. Make this a reality in your school with our free activities designed to encourage productive struggle while reaching all learners.

A teacher holds a clipboard while a student points at a chalkboard labeled "Guinea Pig," "Millipede," and "Goldfish" in a classroom setting.
A presentation slide titled "Three Practices to Support Problem-Based Learning" features students and teachers engaged in classroom activities and math instruction.

Three practices to support problem-based learning

As educators, we want all students to develop a rich and deep understanding of the math they experience in our classrooms. A problem-based learning approach supports this by centering problem-solving in ways that build lifelong mathematical proficiency. Read this guide for practical tips on introducing problem-based learning and deeper conceptual understanding into your math classroom.

Best practices from real educators like you

Learn tried and true strategies for leveling up math instruction from Beyond My Years podcast guests like Amplify’s own Dan Meyer, teacher and My Kindergarten Math Workbook author Keri Brown, educator and speaker Mike Flynn, teacher and I Hate Math author Ian Brown, and more!

More free resources for K–5 educators

Two children paint a wall while holding a "2/3" sign; another child on the floor holds a "3 x 3" sign near a bookshelf.

K–5 Insider

Sign up for our monthly email to get new K–5 content and activities directly in your inbox.

sign up 

A printed guide titled "What are math routines, and how can you use them?" for grades K–5, with instructions and example math routine cards displayed.

K–5 instructional routine cards

Find easy-to-implement routines to keep students interacting and engaged with a lesson.

Download

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Math that motivates: Success stories

See how real teachers and students are unlocking new levels of engagement and comprehension, proving that everyone can be a math person.

LEARN MORE 

Ready to make every student a math person?

Connect with a product expert today.

FAQ for K–5 educators

Procedural fluency is the ability to use procedures flexibly, accurately, and efficiently to solve problems. Procedural fluency goes beyond memorization—students develop fluency when they understand number relationships and can choose from multiple strategies based on the numbers involved.

Students who understand why procedures work feel confident tackling challenging problems. When students can choose strategies that make sense to them, rather than relying on rote memorization, they develop agency and see themselves as capable mathematical thinkers.

Understanding how numbers connect helps students develop flexible thinking and multiple solution strategies. Timed tests often prioritize speed over understanding, which can create math anxiety and discourage the productive struggle that deepens learning.

Teachers can achieve this balance by using a predictable routine: warm-ups for fluency practice, a core problem-solving activity during which students explore multiple strategies, and structured discussion to connect different approaches. This structure ensures both skill-building and mathematical discourse happen daily.

Synthesizing learning means bringing the lesson together by highlighting the key mathematical idea that students have just explored. After students share strategies, the teacher helps them make connections between different approaches and names the big takeaway, often through a brief summary or exit ticket.

The Five Practices for Orchestrating Productive Mathematical Discussions are: 1) Anticipating student strategies before the lesson, 2) monitoring student work during the activity, 3) selecting specific students to share, 4) sequencing presentations in a purposeful order, and 5) connecting different strategies to the mathematical goal.

Productive struggle is when students grapple with challenging problems that require genuine thinking, but that remain accessible with appropriate support. It’s essential for deeper understanding, because it compels students to think critically, test strategies, and build perseverance, moving beyond surface-level memorization.

They can celebrate mistakes as learning opportunities and emphasize that understanding develops through effort and persistence. They can also create a safe classroom environment in which all students feel comfortable sharing their developing ideas and foster structured discussions during which multiple strategies are valued, helping students see that there’s more than one right way to think mathematically.

These are problems accessible to all students (that’s the low floor) but open enough to challenge advanced thinkers (that’s the high ceiling). Tasks like these allow multiple entry points and solution strategies, making them ideal for generating rich classroom discussion in which every student can participate meaningfully.

Such routines build number sense and fluency while making discussions predictable and low stakes. These brief, structured activities (5–10 minutes) activate prior knowledge, help students see number relationships, and give everyone practice explaining their thinking—all without requiring extensive preparation or materials.

They can do so by maintaining meaningful objectives while providing varied supports—ensuring that students understand what’s being asked, offering manipulatives and visual tools, allowing partner discussion before whole-class sharing, asking guiding questions without giving away the answer, and strategically grouping students. The goal is supporting access to challenging work, not making it easier.

Madison County Schools: Early literacy success through the Science of Reading

A group of thirteen women pose together on outdoor steps, with one woman handing a teacher award to another. All are dressed in colorful, business-casual attire, celebrating achievements in the Science of Reading curriculum.

Madison County Schools is a diverse district serving nearly 13,000 students across 23 schools in central Mississippi. Over the past few years, the district has shifted its approach from balanced literacy to structured literacy. The transition wasn’t quick or simple—but it worked.

In 2016, the district’s elementary ELA proficiency was at 47.1%. By the spring of 2024, it had reached almost 70%, with all elementary schools receiving A ratings for the first time.

“Today, structured literacy is at the core of our instruction, and the results speak for themselves,” said Kacey Matthews, dyslexia coordinator for the district. “This historic achievement affirms that when we commit to evidence-based instruction, students thrive.”

That commitment, and the resulting achievement, has earned Madison County Schools our 2025 Science of Reading Star Awards District Captain award. These teacher awards honor educators, schools, and districts who’ve transformed their classrooms and empowered their students with the Science of Reading.

The constants: Building literacy and a love of reading

Madison County Schools spans four zones, from suburban to rural. Roughly one-third of its schools are Title I, and its teachers support more than 1,200 multilingual/English learners representing 36 languages. Nearly 40% of students in the district receive free or reduced-price lunch.

Madison County originally followed a balanced literacy model, but over time, educators began to see gaps—particularly among students experiencing reading difficulty and students with dyslexia.

“Our diverse student body underscores our belief that literacy is the key to unlocking potential,” Matthews said. Teachers came to understand that their shared desire to support a love of reading in their students and their dedication to paramount literacy goals had to be anchored in a curriculum aligned to the Science of Reading: explicit, systematic instruction in phonemic awareness, decoding, and language comprehension.

A clear glass award etched with "Amplify 2025 Science of Reading Star Awards, The District Captain, Madison County Schools" stands against a blue background, celebrating excellence in early literacy and dedication to the Science of Reading curriculum.

Shifting practices and mindsets

According to Matthews, transitioning from balanced to structured literacy required more than a change in instructional methods. “The biggest challenge,” she said, “was shifting instructional mindsets.”

In classrooms, educators needed to trade in the familiar tools of running records and predictable texts for a new framework built on foundational skills data. “Initially, some educators were hesitant, but ongoing professional learning, hands-on support, and student success stories built trust and proved the effectiveness of this approach,” Matthews said.

District leaders, principals, and teachers also worked together to create a shared vision for literacy grounded in evidence and collaboration. Madison County invested in professional learning through LETRS, Phonics First, and the AIM Institute, ensuring every educator had the tools to teach early literacy skills effectively.

Each school added trained literacy specialists who provided classroom coaching and MTSS interventions, and the district instituted dyslexia training for all 1,500 staff members every three years, ensuring consistent understanding of structured literacy principles across every grade.

Principals received targeted professional development to lead with clarity, and the district introduced new, research-based curricula—including Amplify Core Knowledge Language Arts (CKLA)—to align instruction from kindergarten through fifth grade. To unify these efforts, Madison County also rewrote its Literacy Expectations guide, a districtwide roadmap detailing the five essential components of literacy, classroom strategies, and links to foundational research.

All told, Madison County teachers and leaders have reimagined classroom practice, embracing a structured literacy framework grounded in the Science of Reading.

From anxiety to confidence

In addition to the district’s impressive leap in literacy proficiency of more than 20 percentage points, they also saw transformation on the Mississippi Third-Grade Reading Assessment, a high-stakes gate test of readiness for fourth grade. Equipped with strong foundational skills, Madison County’s third graders are now thriving—with a 99.7% promotion rate in 2024.

“Instead of facing [the test] with fear, our students now enter with confidence,” Matthews said. In other words, data only tells one part of the story. “Students who previously dreaded assessments now approach them with readiness,” she said. “Students who once struggled with decoding now read with confidence and fluency.”

Sustaining a culture of literacy and growth

Madison County’s progress rests on persistence as much as innovation. The district’s educators continue to meet regularly for data discussions, lesson study, and reflection—sustaining the same mindset shift that began this journey. Professional learning remains a constant for them, demonstrating their dedication to teaching excellence and their belief that educational approaches are never static.

According to Matthews, Amplify has been a trusted partner in that work. Teachers can target support with precision by using mCLASS® for progress monitoring and the mCLASS Dyslexia Screener for early identification. Several schools also use Amplify CKLA to build decoding and comprehension simultaneously, engaging students with content-rich texts that deepen knowledge and vocabulary.

“When we commit to the Science of Reading, we are not just building better readers,” Matthews said, “we’re building a brighter future.”

More to explore

K–5 personalized reading curriculum to accelerate literacy growth in your classroom

Boost Reading Texas helps K–5 educators meet the needs of every reader with personalized literacy instruction based in the Science of Teaching Reading. Our efficacy data, measured by DIBELS® 8th Edition, shows that Boost Reading helped 26% more students reach benchmark than those not using the program. This Amplify reading curriculum fits into any learning model and provides actionable growth insights along the way.

A young girl wearing headphones uses a laptop. Illustrated trees, clouds, and a bird are in the background. Informational badges about reading science and evidence levels are displayed.

Evidence-based personalized instruction

Boost Reading Texas is a student-led supplemental reading curriculum that provides additional time to support other students. It reinforces instruction across all tiers through true differentiation of skill development. It’s your digital assistant in literacy instruction—extending core instruction, addressing remediation needs, and constantly adapting activities to help every reader flourish.

“Your team has taken a weight off my shoulders and I am so grateful and can’t thank you enough! My biggest concern during this time was how can I keep pushing my readers at their level—and giving them what they need—and Boost Reading solved that.”

Jeanine

2nd-grade teacher, Chicago, IL

“My students love the program, and they don’t even realize they are learning some tough concepts. Their reading scores are improving even since the beginning of the year.”

Amber

Junior High ELA teacher, California

“This program is extremely engaging and interactive for each student. They begged to get on Boost Reading and they cried when it was time to log off! This program is a great addition to our curriculum.”

Brittany

2nd grade teacher, Utah

Our approach

Proven efficacy

Did you know that you can supercharge reading growth with Boost Reading Texas? Texas students using Boost Reading Texas are showing phenomenal growth…and we have the data to prove it!

Bar chart compares percentage growth above or well above average from BOY to MOY across grades K–5 between students who used and did not use Amplify Reading.
Three labeled graphics with Texas icons read: "Amplify ELAR TEXAS," "Boost Reading TEXAS," and "mCLASS TEXAS," each in black and orange text.

Instructional cohesion across all tiers

Amplify’s comprehensive early literacy suite—comprising Amplify ELAR Texas core instructionmCLASS Texas assessment and intervention, and Boost Reading Texas personalized practice—provides seamless alignment and a strong Science of Teaching Reading foundation for a Multi-Tiered System of Supports within your classroom. For Amplify ELAR Texas students who start the year below benchmark reading levels, Boost Reading Texas increases the likelihood of meeting benchmark by 34% by end of year, compared to non-Boost Reading users.

Targeted, systematic reading practice for all

The highly adaptive technology creates individual skill maps for each student—whether they’re reading below, at, or above grade level—providing simultaneous remediation and advancement in different skill domains. The program is an effective component of your classroom’s remediation and intervention solutions, with explicit instruction for all students, including those with dyslexia or in special education classes.

A graphic showing the adaptivity of Boost Reading.
Cartoon dog in a soccer outfit kicks a soccer ball labeled "ma" toward a goal, with speech bubbles saying "¡Hola!" and "Hello!" and a note about the Science of Teaching Reading.

Closing the gap for K–5 multilingual/English learners

Boost Reading Texas’ Spanish literacy partner, Boost Lectura Texas, supports multilingual/English learners (ML/ELs) learning to read in their native language. When used together, the two programs drive literacy growth in English and Spanish and provide teachers with side-by-side reporting on skills progression in both languages.

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Boost Reading efficacy study

Accelerating literacy growth

Download now

What’s included

A diagram showing strategies for teaching phonemic awareness, with photos of two children and labeled methods such as "Blend onset rime," "Isolate sounds," and "Segment phonemes.

Next-generation technology

Boost Reading Texas is constantly adapting to tailor instruction and scaffold foundational skills for students, building proficiency one engaging activity at a time. Students will never get stuck in static practice activities.

Comprehensive skill coverage

The scope and sequence is based on the Science of Teaching Reading and includes explicit instruction in phonics, phonological awareness, comprehension, vocabulary, and all skills critical to fluent and confident reading.

Diagram illustrating the interplay between language comprehension and word recognition in reading, as seen in early literacy stages. It highlights pathways through knowledge, vocabulary, and sentence understanding, reflecting principles from the CKLA reading program.
Screenshot of a student performance dashboard featuring benchmark data, reading proficiency, assessment status, and a graph of decoding skills progress over time—ideal for tracking growth with a K–5 personalized reading curriculum.

Benchmark and growth assessments

Built-in benchmark assessments measure student proficiency at beginning-, middle-, and end-of-year, and Curioso Skill Scans measure monthly growth in students using the program without interrupting engagement.

Easy-to-use growth and proficiency reports

Embedded assessments give teachers actionable insights into students’ reading journeys. Visibility into performance gives teachers peace of mind that students are making meaningful progress in their literacy development.

Boost Reading Teacher Dashboard image shows reporting on student performance from many angles.
A dashboard displays usage data for Reading K–5 Reports, showing a line graph of active users per month under the "Admin Reports Demo District" header.

Administrator and caregiver reports

Administrators and caregivers are welcomed into the student reading journey with data on program usage, reading progress, and skill mastery.

Research-based activities to reinforce skills

Boost Reading Texas alerts educators to trouble spots students encounter in their skill development and offers additional K–5 literacy resources and lessons for teachers to address and fortify reading skills.

Digital interface of a supplemental reading curriculum displaying a student's "trouble spots" in learning, highlighting areas needing focus on "key ideas & details" with activities suggested.
Tech & Learning Awards of Excellence 2023 Back to School badge for Primary Education Winner.

Boost Reading is a proud winner of the Tech & Learning Awards of Excellence: Best for Back to School 2023.

Learn more

Explore more programs based on the Science of Teaching Reading.

Learn more about our related Texas programs at texas.amplify.com.

A curiosity-driven K–8 science curriculum

Amplify Science is a K–8 phenomena-based science curriculum that blends hands-on investigations, literacy-rich activities, and interactive digital tools. The result? Elementary and middle school students who think, read, write, and argue like real scientists.

Amplify Science for grades K–8 has been rated all green by EdReports.

Explore a unit
A teacher and three students explore a science tool in a classroom, highlighting the elementary school science curriculum, with icons of an avocado, Earth in space, and an EdReports Review Year 2023 badge.

Our approach

Each unit of Amplify Science engages all learners in a relevant, real-world problem where they assume the role of a scientist to investigate scientific phenomena, engage in collaboration and discussion, and develop models or explanations to arrive at solutions.

A research-backed approach to 3D learning

The research-based Do, Talk, Read, Write, Visualize instructional approach—developed by UC Berkeley’s Lawrence Hall of Science—provides students with multiple opportunities and modalities with which to access science instruction. Independent research proves that this model of learning benefits all learners, and our efficacy research shows improved student achievement.

Explore our research and success stories

Students take on roles of scientists and engineers.

In each unit, students take on the role of a scientist or engineer to investigate a realistic problem. These problems provide relevant contexts through which students investigate real-world phenomena that are seamlessly integrated throughout the unit. By positioning students as engineers or scientists, they are actively engaged in designing innovative solutions and making sense of the world around them.

EXPLORE OUR PHENOMENA AT GRADES K–5

EXPLORE OUR PHENOMENA AT GRADES 6–8

Two children wearing safety goggles conduct a science experiment, pouring liquid from one beaker into another over a blue tray on a table.
Two girls sit at a table smiling and playing with colorful modeling clay and clear containers against a light blue background.

Authentic 3D learning brought to life

Amplify Science integrates the NGSS—and state standards based on them—not just at a surface level, but throughout every lesson of the unit. Students engage with science and engineering practices, figure out disciplinary core ideas, and make connections when they apply Crosscutting Concepts across thoughtfully structured, multimodal lessons.

See it in action

Developed by science education experts

Amplify Science was developed by The Lawrence Hall of Science at UC Berkeley in partnership with Amplify. It reflects state-of-the-art practices in science teaching and learning, which lays the foundation for our high quality instructional materials (HQIM).

Children climb on a large DNA double helix sculpture outside The Lawrence Hall of Science, with the building and fountains visible in the background.

A flexible, blended program

Amplify Science includes hands-on activities, print materials, and powerful digital tools to support online and offline teaching and learning. Highly adaptable and user-friendly, the program gives schools and individual teachers flexibility based on their technology resources and preferences.

Explore the digital experience

Teach science confidently, with Amplify PD expertise.

Amplify professional development (PD) connects you with dedicated learning specialists who become genuine partners in your teaching journey. Our in-house experts work closely with your grade K–5 and 6–8 teams to understand your unique classroom needs and provide ongoing support that adapts as you grow. Choose from flexible sessions—on-site, virtual, or hybrid—to build teacher confidence, strengthen instruction, and keep student curiosity thriving—all backed by our commitment to your long-term success.

Children climb on a large DNA double helix sculpture outside The Lawrence Hall of Science, with the building and fountains visible in the background.

What’s included

Our flexible resources work seamlessly together.

A middle school science textbook cover sits beside an open laptop displaying a digital unit overview for "Spinning Earth: Investigating Patterns in the Sky" from Amplify Science.

Teacher’s Guides

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.
Explore the world of middle school science with Amplify Science investigation notebooks, featuring captivating titles like "Balancing Forces: Investigating Floating Trains" and "Properties of Matter.

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.
Five educational science books with captivating covers explore fascinating topics like magnets, plants, biomimicry, and geological wonders. Perfect for middle school science enthusiasts, this series complements Amplify Science's engaging curriculum.

Student Books

Age-appropriate Student Books allow students to:

  • Engage with content-rich texts.
  • Obtain evidence.
  • Develop research and close-reading skills.
  • Construct arguments and explanations.
Explore the digital farming simulation interface, perfect for middle school science classes with Amplify Science integration. Watch plant growth stages, water flow graphics, and detailed soil analysis come to life on tablet and computer screens.

Simulations and Modeling Tools

Developed exclusively for the Amplify Science program, these engaging digital tools:

  • Serve as venues for exploration.
  • Enable data collection.
  • Allow students to explore scientific concepts.
  • Show what might be impossible to see with the naked eye.
Discover the wonders of Amplify Science with a pegboard, rubber bands, and a ball. Perfect for middle school science enthusiasts, this set also includes an electronic component with wires and clips, complemented by three containers filled with intriguing powders.

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 laptop displaying an educational webpage titled "Geology on Mars" sits next to an "Investigation Notebook" graphic, perfect for Amplify Science lessons in middle school science.

Teacher’s Guides

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.
Five middle school science books from the Amplify Science series, including "Matter and Energy in Ecosystems" and "Introduction: From Silk." Each cover showcases unique images like landscapes and spiders, engaging young minds with captivating visuals.

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

Discover the wonders of Amplify Science with a pegboard, rubber bands, and a ball. Perfect for middle school science enthusiasts, this set also includes an electronic component with wires and clips, complemented by three containers filled with intriguing powders.

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.).
Three computer screens display data visualizations: two show charts with colored markers, and one shows percentages with color-coded grids. This setup provides an engaging way to explore middle school science concepts, making it easier for students to visually comprehend data.

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.
On a laptop screen, a chart titled "After Overfishing in Northern Benguela" showcases a three-circle Venn diagram, reminiscent of lessons from middle school science. In the background, a document featuring an individual in a lab coat and glasses adds to the scholarly scene, evoking elements of Amplify Science curriculum.

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.

Ready to learn more?

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What educators say

“Just looking through the Amplify Science curriculum, I’m wishing I could go back in time and learn these concepts with these resources! I love that Amplify is more focused on diving deeper into fewer concepts over the year, rather than grazing the surface of more topics.”

Lizzie

Middle school teacher, KIPP charter network Hear from teachers

What educators say

“In using this program, I have seen that my students are completely engaged and are able to visualize models of concepts using the simulations that they otherwise would not be able to visualize. The program is not about rote memory of facts—rather, it addresses the bigger picture and assesses a deeper understanding of science concepts.”

Julie

Science teacher, Georgia Hear from teachers

What educators say

“The engineering units are engaging and really helped me better understand the new standards. I love being able to walk around and talk to students as they explore solutions, make claims, and reason with their peers.”

Karla

Science teacher, California Hear from teachers

Read more Amplify Science success stories.

Hear from teachers

Explore more programs.

Our programs are designed to support and complement one another. Learn more about our related programs.

Math that motivates: Amplify Desmos Math success stories

It’s no secret that student engagement and the prevalence of math anxiety are real problems in math classrooms. Incorporating more problem-based learning can help, but it can feel intimidating and difficult to know where to start. That’s why we’re here!

Amplify Desmos Math is a curiosity-driven K–12 math program that introduces a structured approach to problem-based learning and builds students’ lifelong math proficiency. Teachers help students build off of each other’s ideas and find confidence in their math identities, creating a community of math learners.

But don’t take our word for it—see how real teachers and students are unlocking new levels of engagement and comprehension, proving that everyone can be a math person.

A woman with straight, shoulder-length blonde hair smiles at the camera, wearing a striped sweater and hoop earrings. Shelves with books are visible in the background.
“With Amplify Desmos Math, I’ve noticed a huge shift of engagement because there’s so much interaction. Yes, there is pencil and paper, but there’s so much more. They’re getting immediate feedback and motivation to continue on. So if they don’t get something right the first time, they want to! ”

—Kristi Melick

Sixth-grade teacher, San Diego Unified School District, CA

School spotlight: Decatur Classical Elementary School

See how Amplify Desmos Math is making an impact in Chicago, Illinois, with our latest case study.

Cover page of a PDF titled "Making the shift to more student-centered math instruction," featuring an outline of Illinois and text about Decatur Classical Elementary School.

A structured approach to problem-based learning

Witness teachers and students working together and see how Amplify Desmos Math revolutionizes K–12 math education through a structured approach to problem-based learning that fosters a collaborative math community.

The power of the pause

See what happens when teachers use the pause–one of the teacher facilitation tools and core differentiators in Amplify Desmos Math. You won’t believe how students react!

Everyone’s a math person.

See how Amplify Desmos Math helps every student see themselves as a math person.

What Teachers Say

What educators say about Amplify Desmos Math

Shifting to this problem-based curriculum now is allowing students to open up. I think they’re taking control and ownership. They’re coming up with the strategies, they’re sharing the strategies. It offers an opportunity for the students to look around the classroom to see what their friends are doing. And in turn, if they’re stuck, they’re comfortable turning to other students and problem-solving through sharing.

Joseph Croce

Seaford School District, DE

What educators say about Amplify Desmos Math

When we went district-wide with our Amplify Desmos Math curriculum our teachers became the facilitators of learning. And our students are the doers of mathematics. And what we’ve seen, what I’ve seen in the classroom, is kids are engaged in a problem, they’re collaborative, and they’re having fun. And it’s like they’re not even realizing that they’re really doing math.

Jessica Walsh

San Diego Unified School District, CA

What educators say about Amplify Desmos Math

So many kids have stated, ‘Oh, I’m not a math person.’ Or they’re scared of getting the answer incorrect. And I think with this curriculum, they feel safe.

Brendan Simon

Assistant Principal, San Diego Unified School District, CA

Best practices from real educators like you

Learn tried and true strategies for leveling up math instruction from Beyond My Years podcast guests like Amplify’s own Dan Meyer, teacher and My Kindergarten Math Workbook author Keri Brown, educator and speaker Mike Flynn, teacher and I Hate Math author Ian Brown, and more!

Two women work together at a desk with a laptop and papers; the image appears on the cover of a document titled “Foundational research” for Amplify Desmos Math Grades K–Al.

Program efficacy

Explore the research behind Amplify Desmos Math.

Ready to make the shift to curiosity-driven learning?

Get access to free digital samples today.

Request a sample or demo

Amplify K–3 CKLA resources for Georgia Department of Education

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Desmos Math 6–A1 correlations with Carnegie Math Texas

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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

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

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomDesmos Math 6–A1
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 2: Find the Area of Triangles and Other PolygonsUnit 1
Lesson 7: Off the Grid, Part 2
Practice Day 1 (Print available)
Lesson 3: Use Nets to Find Surface AreaUnit 1
Lesson 11: Nothing But Nets (Print available)
Practice Day 2 (Print available)
Lesson 4: Work with Algebraic ExpressionsUnit 6
Lesson 6: Vari-apples
Lesson 5: Write and Evaluate Expressions with ExponentsUnit 6
Lesson 4: Hanging it Up
Lesson 5: Swap and Solve (Print available)
Practice Day 2 (Print available)
Lesson 6: Find Greatest Common Factor and Least Common MultipleUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Unit 4: Ratio Reasoning: Unit Rates and Percent

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

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 [Free lesson]
Lesson 4: Sub-Zero
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 25: Understand Absolute ValueUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 6: Tunnel Travels [Free lesson]
Lesson 7: Comparing Weights
Lesson 8: Shira’s Solutions
Lesson 27: Understand the Four-Quadrant Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Practice Day 2 (Print available)
Lesson 28: Solve Problems in the Coordinate PlaneUnit 7
Lesson 12: Graph Telephone
Practice Day 2 (Print available)

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 11: Understand Multiplication with Negative IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 12: Multiply and Divide with Negative NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Express Rational Numbers as Terminating or Repeating DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles [Free lesson]
Lesson 13: Solar Panels and More (Print available)
Practice Day 2  (Print available)

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 25: Solve Problems Involving Area and Surface AreaUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 26: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Practice Day 2 (Print available)
Lesson 27: Describe Plane Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids
Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 29: Draw Plane Figures with Given ConditionsUnit 7
Lesson 6: Is It Enough
Lesson 7: More Than One?
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 31: Solve Problems Involving Experimental ProbabilityUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 32: Solve Problems Involving Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 33: Solve Problems Involving Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)
Practice Day 1 (Print available)

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomDesmos Math 6–A1
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers [Free lesson]
Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Transformation Golf
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day (Print available) [Free lesson]
Lesson 8: No Bending, No Stretching
Lesson 9: Are They Congruent?
Practice Day (Print available)
Lesson 3: Work with Sequences of Transformations and CongruenceUnit 1
Lesson 3: Transformation Golf

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 2
Lesson 9: Water Slide

Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Derive and Graph Linear Equations of the Form y = mx + bUnit 3
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 10: Solve Linear Equations in One VariableUnit 4
Lesson 1: Number Machines
Lesson 2: Keep It Balanced
Lesson 11: Determine the Number of Solutions to One-Variable EquationsUnit 4
Lesson 7: All, Some, or None
Lesson 8: When Are They the Same?
Lesson 12: Understand Systems of Linear Equations in Two VariablesUnit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 14: Represent and Solve Problems with Systems of Linear EquationsUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Practice Day 2 (Print available)

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 17: Compare Different Representations of Functions
Lesson 18: Analyze Functional Relationships Qualitatively
Unit 5
Lesson 7: Feel the Burn (Print available) [Free lesson]

Unit 5: Integer Exponents: Properties and Scientific Notation

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 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Filling Cubes
Lesson 24: Express Rational Numbers as Fractions and DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck [Free lesson]
Lesson 26: Understand the Pythagorean Theorem and its ConverseUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 9: Make It Right
Lesson 11: Pond Hopper
Practice Day 2 (Print available)
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresLesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 15: Spheres

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 [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 5: Fit Fight [Free lesson]
Lesson 30: Write and Analyze an Equation for Fitting a Linear Model to DataUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot CityLesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 31: Understand Two-Way TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 10: Finding Associations [Free lesson]
Lesson 32: Construct and Interpret Two-Way TablesUnit 6
Lesson 11: Federal Budgets
Practice Day 3

Grade 6

Unit 1: Numbers

GO Math!Desmos Math 6–A1
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1
Lesson 12: Budget Vehicles
Lesson 13: Grocery Prices

Unit 2: Number Operations

Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day (Print available)
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting 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 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1 (Print available)
Lesson 12: Budget Vehicles (Print available)
Lesson 13: Grocery Prices (Print available)

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Rice Ratios (Print available)
Lesson 7:  Mixing Paint, Part 1
Lesson 12: Mixing Paint, Part 2
Lesson 6.2: Rates Unit 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 (Print available)
Lesson 7: More Soft Serve
Lesson 13: A County as a Village
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 13:City Planning
Lesson 14: Lunch Waste (Print available)
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Unit 3
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7.2: Solving Problems with Proportions
Lesson 7.3: Converting Within Measurement SystemsUnit 3
Lesson 2: Counting Classrooms
Lesson 7.4: Converting Between Measurement SystemsUnit 3
Lesson 3: Pen Pals
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 8.2: Percents, Fractions, and Decimals.Unit 3
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 8.3: Solving Percent ProblemsUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village

Unit 4: Equivalent Expressions

Module 9: Generating Equivalent Numerical Expressions
Lesson 9.1: ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 9.2: Prime Factorization
Lesson 9.3: Order of Operations
Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 6: Vari-apples
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 7: Border Tiles
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)

Unit 5: Equations and Inequalities

Unit 6: Relationships in Geometry

Unit 7: Measurement and Data

Grade 7

Unit 1: The Number System

GO Math!Desmos Math 6–A1
Module 1:  Adding and Subtracting Integers
Lesson 1.1: Adding Integers With the Same Sign
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 9: Expressions (Print available)
Lesson 10: Integer Puzzles [Free lesson]
Lesson 1.4:  Applying Addition and Subtraction of IntegersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.2: Dividing IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.3: Applying Integer OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 3:  Rational Numbers
Lesson 3.1: Rational Numbers and Decimals
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 3.4: Multiplying Rational NumbersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 3.5: Dividing Rational Numbers Unit 5
Lesson 6: Floating in Groups
Lesson 3.6: Applying Rational Number OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 9: Gallon Challenge
Unit 4
Lesson 2: Peach Cobbler (Print available)
Lesson 3: Sticker Sizes
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
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 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
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 8: DinoPops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Unit 4
Lesson 3: Sticker Sizes
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics [Free lesson]
Lesson 4: More and Less
Lesson 5: All the Equations
Lesson 7: Percent Machines [Free lesson]
Lesson 9: Minimum Wage (Print available)
Lesson 13: Decimal Deep Dive (Print available)
Lesson 5.2: Rewriting Percent ExpressionsUnit 4
Lesson 9: Minimum Wage
Lesson 5.3: Applications of PercentUnit 4
Lesson 6: 100% (Print available)
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 [Free lesson]

Unit 3: Expressions, Equations, and Inequalities

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and 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? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 8:  Can You Draw It? (Print available)
Lesson 8.3: Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8.4Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around [Free lesson]
Lesson 9.2: Area of CirclesUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 5: Area Strategies
Lesson 8: Area Challenges [Free lesson]
Lesson 9.4: Solving Surface Area ProblemsUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 9.5: Solving Volume ProblemsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island [Free lesson]
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 13: Plots and Samples
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 10.2: Making Inferences from a Random Sample
Lesson 10.3: Generating Random Samples
Unit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rate (Print available)
Module 11: Analyzing and Comparing Data
Lesson 11.1: Comparing Data Displayed in Dot PlotsUnit 8
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 11.2: Comparing Data Displayed in Box PlotsUnit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rates (Print available)
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Crab Island [Free lesson]
Lesson 15: Asthma Rates (Print available)

Unit 6: Probability

Module 12: Experimental Probability
Lesson 12.1: ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 12.2: Experimental Probability of Simple EventsUnit 8
Lesson 3: Mystery Bag
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 12.3: Experimental Probability of Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 12.4: Making Predictions with Experimental ProbabilityUnit 8
Lesson 3: Mystery Bag
Lesson 5: Is It Fair?
Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 13.2: Theoretical Probability of Compound EventsUnit 8
Lesson 6: Fair Games
Lesson 13.3: Making Predictions with Theoretical ProbabilityUnit 8
Lesson 8: Simulate It! (Print available)
Lesson 13.4: Using Technology to Conduct a SimulationUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Desmos Math 6–A1
Module 1: Real Numbers
Lesson 1.1: Rational and Irrational Numbers
Lesson 1.2: Sets of Real Numbers
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 14: Hit the Target
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down [Free lesson]
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles [Free lesson]
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 2.2: Scientific Notation with Positive Powers of 10Unit 7
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.3: Scientific Notation with Negative Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scale [Free lesson]
Lesson 12: City Lights
Lesson 13: Star Power 

Unit 2: Proportional and Nonproportional Relationships and Functions

Module 3: Proportional Relationships
Lesson 3.1: Representing Proportional Relationships.Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 3.2: Rate of Change and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Line
Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Unit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3.3: Interpreting the Unit Rate as SlopeUnit 3
Lesson 2: Water Tank
Lesson 3: Posters
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 5: Flags [Free lesson]
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 5: Flags [Free lesson]Lesson 9: Coin Capture
Lesson 5.2: Writing Linear Equations from a Table
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 1: Click Bait
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6.2: Describing FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 9: Piecing It Together

Unit 3: Solving Equations and Systems of Equations

Module 7:  Solving Linear Equations
Lesson 7.1: Equations with the Variable on Both SidesUnit 4
Lesson 2: Keep It Balanced
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 7: All, Some, or None?
Lesson 8: When Are They the Same?
Lesson 7.2: Equations with Rational NumbersUnit 4
Lesson 6: Strategic Solving (Print available)
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 7.4: Equations with Many Solutions or No SolutionUnit 4
Lesson 7:  All, Some, or None?
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 8.2: Solving Systems by SubstitutionUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 8.3: Solving Systems by Elimination
Lesson 8.4: Solving Systems by Elimination with Multiplication
Lesson 8.5: Solving Special SystemsUnit 4
Lesson 13: All, Some, or None? Part 2

Unit 4: Transformational Geometry

Unit 5: Measurement Geometry

Module 11: Angle Relationships in Parallel Lines and Triangles
Lesson 11.1: Parallel Lines Cut by a Transversal.Unit 1
Lesson 10: Transforming Angles
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 3: Match My Dilation
Lesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Are Angles Enough?
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 10: Taco Truck [Free lesson]
Lesson 12.2: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 12.3: Distance Between Two PointsUnit 8
Lesson 11: Pond Hopper
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 14: Missing Dimensions (Print available)
Lesson 13.2: Volume of ConesUnit 5
Lesson 10: Volume Lab
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 13.3: Volume of SpheresUnit 5
Lesson 10: Volume Lab
Lesson 15: Spheres

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 8: Animal Brains
Module 15: Two-Way Tables
Lesson 15.1: Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 15.2: Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets

Grade 6

Module 1: Ratios and Rates

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3Lesson 8: Lucky Duckies [Free lesson]Lesson 9: Bicycle Goals
Lesson 2: Percents Greater Than 100% and Less Than 1% 
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5Lesson 2: Decimal Diagrams [Free lesson]Lesson 13: Grocery Prices (Print available)
Lesson 4: Find the Percent of a NumberUnit 3Lesson 10: What’s Missing? (Print available)Lesson 11: Cost Breakdown
Lesson 5: Estimate the Percent of a Number 
Lesson 6: Find the WholeUnit 3Lesson 10: What’s Missing? (Print available)

Module 3: Compute with Multi-Digit Numbers and Fractions

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

Lesson 1: Represent IntegersUnit 7Lesson 1: Can You Dig It [Free lesson]Lesson 4: Sub-Zero
Lesson 2: Opposites and Absolute ValueUnit 7Lesson 5: Distance on the Number Line
Lesson 3: Compare and Order IntegersUnit 7Lesson 2: Digging DeeperLesson 3: Order in the Class (Print available) [Free lesson]
Lesson 4: Rational NumbersUnit 7Lesson 2: Digging Deeper
Lesson 5: The Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 6: Graph Reflections of Points
Lesson 7: Absolute Value and DistanceUnit 7Lesson 5: Distance on the Number Line

Module 5: Numerical and Algebraic Expressions

Module 6: Relationships in Geometry

Module 7: Relationships Between Two Variables

Module 8: Area

Module 9: Volume and Surface Area

Module 10: Statistical Measures and Displays

Grade 7

Module 1: Proportional Relationships

Module 2: Solve Percent Problems

Module 3: Operations with Integers

Module 4: Operations with Rational Numbers

Module 5: Simplify Algebraic Expressions

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6Lesson 3: EquationsLesson 4: Seeing Structure (Print available)Lesson 14: Unbalanced HangersLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 2: Solve Two-Step Equations: px + q = r
Lesson 3: Write and Solve Two-Step Equations: px + q = r
Lesson 4: Solve Two-Step Equations: p(x + q) = r
Lesson 5: Write and Solve Two-Step Equations: p(x + q) = r
Unit 6Lesson 4: Seeing Structure (Print available)Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)

Module 7: Write and Solve Inequalities

Lesson 1: Solve One-Step Addition and Subtraction Inequalities
Lesson 2: Write and Solve One-Step Addition and Subtraction Inequalities
Lesson 3: Solve One-Step Multiplication and Division Inequalities
Lesson 4: Solve One-Step Multiplication and Division Inequalities with Negative Coefficients
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the SheepLesson 17: Write Them and Solve Them (Print available)
Lesson 5: Write and Solve One-Step Multiplication and Division InequalitiesUnit 6Lesson 15: Budgeting (Print available)
Lesson 6: Write and Solve Two-Step InequalitiesUnit 6Lesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)

Module 8: Geometric Figures

Module 9: Measure Figures

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 4: Compare Probabilities of Simple EventsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?
Lesson 5: Probability of Compound EventsUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It
Lesson 6: Simulate Chance EventsUnit 8Lesson 8: Simulate ItPractice Day 1 (Print available)

Module 11: Sampling and Statistics

Grade 8

Module 1: Exponents and Scientific Notation

Module 2: Real Numbers

Lesson 1: Terminating and Repeating DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 3: Real NumbersUnit 8
Lesson 14: Hit the Target
Lesson 4: Estimate Irrational NumbersUnit 8
Lesson 3: Between Squares
Lesson 5: Compare and Order Real NumbersUnit 8
Lesson 14: Hit the Target

Module 3: Solve Equations with Variables on Each Side

Module 4: Linear Relationships and Slope

Module 5: Functions

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper
Lesson 13: All, Some, or None? Part 2
(Print available)Practice Day 2 
Lesson 2: Determine Number of SolutionsUnit 4 
Lesson 13: All, Some, or None? Part 2
Lesson 3: Solve Systems of Equations by Substitution
Lesson 4: Solve Systems of Equations by Elimination
Lesson 5: Write and Solve Systems of EquationsUnit 4 
Lesson 14: Strategic Solving, Part 2 (Print available)

Module 7: Triangles and the Pythagorean Theorem

Lesson 1: Angle Relationships and Parallel LinesUnit 1 Lesson 10: Transforming Angles
Lesson 2: Angle Relationships and TrianglesUnit 1 Lesson 10: Transforming Angles Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Lesson 3: The Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove It
Lesson 4: Converse of the Pythagorean TheoremUnit 8Lesson 9: Make It Right
Lesson 5: Distance on the Coordinate PlaneUnit 8Lesson 11: Pond HopperPractice day 2 (Print available)

Module 8: Transformations

Module 9: Congruence and Similarity

Lesson 1: Congruence and Transformations
Lesson 2: Congruence and Corresponding Parts
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?
Lesson 3: Similarity and TransformationsUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 4: Similarity and Corresponding PartsUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 5: Indirect MeasurementUnit 2Lesson 8: Shadows

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 2: Volume of ConesUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 3: Volume of SpheresUnit 5Lesson 15: Spheres
Lesson 4: Finding Missing DimensionsUnit 5Lesson 14: Missing Dimensions (Print available)
Lesson 5: Volume of Composite SolidsUnit 5Lesson 15: Spheres

Module 11: Scatter Plots and Two-Way Tables

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)

Vulnerability Disclosure Policy

As a provider of technology solutions to schools, Amplify’s commitment to data privacy and security is essential to our organization. Amplify demonstrates that commitment in part through the physical, technical, and administrative safeguards we maintain to protect student data and other sensitive information entrusted to our care.

Amplify looks forward to working with the security community to find security vulnerabilities and support our efforts to keep our data and systems safe and secure.

Before reporting a vulnerability, please read our program rules, eligibility overview, report submission rules and guidelines, legal terms, and out-of-scope list set out below.

General Rules

  • We appreciate reports on any Amplify-owned asset, but only vulnerabilities that prove to be outside of expected behavior are eligible for acceptance.
  • Reports involving third party services or providers not under Amplify’s control are out-of-scope for submission.
  • Amplify places a high priority on privacy. Vulnerabilities in the areas of inadvertent exposure of our customers’ personally identifiable information (PII) are considered to be of Critical severity.
  • We classify vulnerability severity per CVSS (the Common Vulnerability Scoring Standard). These are general guidelines, and the ultimate decision over a reward – whether to give one and in what amount – is a decision that lies entirely within our discretion on a case-by-case basis.
  • In order to receive an award for validated reports, you must have a HackerOne account. Please note reward decisions are subject to the discretion of Amplify. Please note these are general guidelines, and that reward decisions are subject to the discretion of Amplify.
  • Only interact with test accounts that you created via self sign-up or were provided by Amplify. The use of any credentials outside of these areas for testing purposes, including legacy credentials supplied through the program and leaked credentials from third parties is strictly prohibited.
  • Do not contact Amplify’s customer support for questions or to submit a vulnerability report.
  • Amplify may, in its sole discretion, disqualify you if you breach this policy or fail to comply with any of the program’s rules and terms.
  • Amplify reserves the right to cancel or modify this program without notice at any time.

Eligibility

  • You are not eligible for participation if you 1) are employed by Amplify or any of its affiliates 2) are an immediate family member of a person employed by Amplify or any of its affiliates or 3) left the employment of Amplify or its affiliates or subsidiaries within the past (12) months.
  • You are not eligible for participation if you have been prohibited in writing from participating in the Bug Bounty Program by Amplify at any time.
  • You may not be in violation of any national, state, or local law or regulation with respect to any activities directly or indirectly related to conducting your tests.
  • You may not compromise the privacy or safety of our customer and the operation of our services;
  • You may not cause harm to Amplify, our customers, or others;
  • You must follow the policy guidelines to responsibly disclose vulnerabilities to Amplify.

Vulnerability Submission Rules & Guidelines

  • Any testing conducted on customer data or accounts is strictly prohibited and will result in removal from the program.
  • If during the course of testing you encounter any sensitive data outside of your test accounts (including student or teacher names, login info, assessment data, activity data, and student work, etc.), please cease testing immediately and report what you have found. DO NOT include any text, screenshots, etc. with PII in the report. This action safeguards both potentially vulnerable data and yourself.
  • Do not access, download, or share any data you encounter in your testing.
  • Only interact with test accounts that you created or that we provided. The use of any credentials outside of these areas for testing purposes is strictly prohibited.
  • Provide detailed reports with reproducible steps. If the report is not detailed enough to reproduce the issue, the issue will not be eligible for a reward.
  • In some cases, you may not have all of the context information to assess the impact of a vulnerability. If you’re unsure of the direct impact but are reasonably certain that you have identified a vulnerability, we encourage you to submit a detailed report and state the open questions on impact.
  • When duplicate submissions for the same vulnerability occur, we only award the first report that was received, provided that it can be fully reproduced.
  • Multiple reports describing the same vulnerability against multiple assets or endpoints must be submitted within a single report.
  • Avoid destruction of data and interruption or degradation of our service.
  • Proof of Concept (POC) videos that do not include PII are highly recommended to help verify the issue, provide clarity, and save time on triage.
  • Please provide timely responses to any follow-up questions and requests for additional information.
  • Understand that there could be submissions for which we accept the risk, have other compensating controls, or will not address in the manner expected. When this happens, we will act as transparently as we can to provide you with the necessary context as to how the decision was made.
  • Reports submitted using methods that violate policy rules will not be accepted and may result in account suspension from/denial of entrance to the program.
  • Please refer to any noted out-of-scope areas listed under Out-of-Scope Vulnerabilities.

Out-of-Scope Vulnerabilities

When reporting vulnerabilities, please consider (1) attack scenario / exploitability, and (2) security impact of the bug. The following issues are considered out-of scope. In addition, please refer to any noted Out of Scope areas listed under the program assets.

  • Social engineering (e.g. phishing, vishing, smishing) is prohibited.
  • Clickjacking on pages with no sensitive actions.
  • Unauthenticated/logout/login CSRF.
  • Attacks requiring MITM or physical access to a user’s device.
  • Previously known vulnerable libraries without a working Proof of Concept.
  • Comma Separated Values (CSV) injection without demonstrating a vulnerability.
  • Missing best practices in SSL/TLS configuration.
  • Any activity that could lead to the disruption of our service (DoS).
  • Content spoofing and text injection issues without showing an attack vector/without being able to modify HTML/CSS.
  • XSRF that requires the knowledge of a secret.
  • Automated tools that could generate significant traffic and possibly impair the functioning of our services.
  • Testing or demonstrating the ability to upload unlimited audio/video files to exhaust resources.
  • Leaked credentials from third party providers, including invalid or stale employee credential dumps, and/or leaked personal information of Amplify staff.
  • Leaked credentials for Amplify customers not caused by vulnerabilities in our systems.
  • Vulnerabilities identified via third party services or providers where Amplify is not the owner.
  • Issues that merely result in spam/annoyance without additional impact (e.g sending emails without sufficient rate limiting)
  • Attempts to access our offices or data centers.
  • Any activity that could contribute to the disruption of our service (DoS). Automated scanning tests should be kept to 10 requests per second or less.
  • Self XSS.
  • Broken links and/or crashes in general.
  • Issues that require unlikely user interaction.
  • Issues that do not affect the latest version of modern browsers
  • Issues that require physical access to a victim’s computer/device.
  • Disclosure of information that does not present a significant risk
  • Please refer to any noted out-of-scope areas listed under program assets.

Legal

  • Any information you receive or collect about us, our affiliates or any of our users, employees or agents in connection with the Bug Bounty Program (“Confidential Information”) must be kept confidential and only used in connection with the Bug Bounty Program. You may not use, disclose or distribute any such Confidential Information, including without limitation any information regarding your Submission, without our prior written consent. You must get written consent by submitting a disclosure request through the HackerOne platform.
  • Researchers must follow HackerOne’s disclosure guidelines. Public disclosure or disclosure to other third parties without the explicit permission of Amplify is prohibited.
  • We will not take legal action against you if vulnerabilities are found and responsibly reported in compliance with all of the terms and conditions outlined in this policy.
  • Amplify reserves the right to modify the terms and conditions of this program without notice at any time, and your participation in the Program constitutes acceptance of all terms.

Submit Vulnerability Report

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.

Connecting science and literacy: The power of language

We’ve talked about how scientists need literacy skills in order to be scientists. They can’t do their jobs without reading, writing, listening, and communicating.

Our recent webinar Science Connections: Science and Literacy explored this intersection from a broader level: the power of language in the science classroom.

How can science teachers remove language barriers to make sure all students are able to access prior knowledge—and acquire more? And how can teachers leverage language to create optimal learning conditions for their science students? Why should they?

Let’s find out what webinar co-hosts Eric Cross and Susan Gomez Zwiep, Ph.D., had to say!

Language and science sense-making

Contrary to stereotype, scientists aren’t just loners in labs. Susan Gomez Zwiep, former middle school science teacher and senior science educator at BSCS Science Learning, credits a colleague with this pearl: “If I’m just doing science myself, and not talking to anybody, that’s not science. That’s just me in my head.”

So science teachers need to give students every possible opportunity to get out of their heads. And if language is a barrier—whether students are learning English, or challenged by science vocab—teachers can help remove it.

This principle is especially important in the context of phenomena-based learning, says Gomez Zwiep. “Rather than telling students ideas, and then proving those ideas correct by showing them a phenomenon, we show them the phenomena and engage them in science sense-making to develop that understanding,” she says. “Language is central to science sense-making and communicating that sense-making.”

Students also bring their prior knowledge to scientific sense-making. And, as Gomez Zwiep points out, prior knowledge is often embedded in the language a student uses at home, or just their own non-scientific vernacular. “I have to use that when I first engage with the phenomenon,” she says. “Otherwise, I’m limiting the resources that kids bring to the learning environment.”

Language in a “safe” science classroom

“If I had to learn science in my second language, I would be struggling with not only everyday vocabulary, but also content-specific vocabulary,” says Eric Cross, host of Amplify’s Science Connections podcast. “You would never actually know what I knew or what I was bringing to the table.”

The goal is to create an environment where students feel comfortable exploring, using whatever language is accessible to them, and then guiding them to conclusions—and precise scientific language. “A classroom requires trust. It requires relationship building,” says Gomez Zwiep. “If a student is worried about saying something a particular way, that’s where all their cognitive energy is going instead of actually talking about the science.”

The key? Put scientific ideas first, and the language will come. “We used to wait until kids had English in order to learn science. And now we’re starting to see that language emerges from learning experiences,” says Gomez Zwiep. “So it’s a product of learning, not a prerequisite.”

Literacy in your science classroom

You can integrate science and literacy right away, starting with free science and literacy lesson samples from Amplify Science.

Explore more:

Amplify Science

Science blogs

Science Connections podcast episodes

Back-to-school teacher resources

The good news? There are TONS of free back-to-school resources available to dedicated teachers who want to start the year off right. How do you sift through every educators’ resource to find the ones that are right for you and your students? We’re here to help!

Role of teachers during back to school: What the research tells us

Recent studies, such as one published in Educational Leadership (2022), emphasize that the first few weeks of school are critically important in establishing trust and setting behavioral norms. A good start can lead to higher engagement and better academic outcomes. 

A 2021 Gallup survey on student engagement found that teacher enthusiasm and planning have a long-lasting impact on student motivation and achievement.

And according to a 2021 study in the Journal of School Psychology, students who start the year with clear objectives and a positive mindset are 30% more likely to meet or exceed benchmarks by the end of the school year. 

This research proves something you already know all too well—that the role of an educator isn’t just to impart knowledge, but to get students ready to learn all year long.

How Amplify can help with free resources for teachers

Whether you’re teaching Amplify in your classroom or onboarding our programs in your school or district, we’re here to support you.

Teacher Central: Educators can visit start.amplify.com/teaching/ to explore a variety of helpful tools and resources, including product highlights, guides to getting started, grade-level resources, and on-demand training videos.

A diverse array of downloads: While we used to drop resources into our free downloads library one at a time, you can now access the whole library all at once! The get-to-know-you activities activities and name tags will help you build a connected classroom at the start of the year—and the seasonal, cultural, and program-specific offerings will help you plan out the rest. 

Product-specific guidance: Program-specific guidance: Our webinars, hosted by Amplify experts and tailored to each individual product, will help you level up your implementation and start the new year off right. Topics include Amplify Science, mCLASS® DIBELS® 8th Edition and mCLASS Lectura, Amplify CKLA and Caminos, Amplify ELA, Boost Reading, and Boost Lectura. Learn more and register here to access them on demand. 

A professional community, 24/7. Join our Facebook groups for peer engagement and weekly giveaways during the back-to-school season. Our groups include: Amplify CKLA, Amplify ELA, Amplify Science, and Boost Reading + mCLASS

Brand new podcast! Ana Torres knows firsthand how hard it is to be a teacher—that’s why, as the host of our new podcast Beyond My Years, she’s seeking out seasoned educators to share their stories and insights from inside the classroom. They’ll make you cry, make you laugh, and may even change the way you think about teaching. 

Log into your Amplify platform today to start preparing for the upcoming school year!

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Lists

  • K
  • 1
  • 2
  • 3
  • 4
  • 5
  • detailed lesson plans.
  • unit and chapter overview documentation.
    • differentiation strategies.
    • standards alignments.
  • in-context professional development.
  • Illuminate
  • SchoolCity
  • Otus
    • detailed lesson plans.
    • unit and chapter overview documentation.
    • differentiation strategies.
  • Course 1: Foundations to the Science of Reading
  • Course 2: Advanced Topics in the Science of Reading: Assessment and Reading Difficulties
  • Course 3: Applied Structured Literacy

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  • 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
  1. detailed lesson plans.
  2. unit and chapter overview documentation.
  3. differentiation strategies.
    • standards alignments.
    • in-context professional development.
  • CKLA Program Guide
  • Text complexity in CKLA
  • Trade books in CKLA
  • Assessments in CKLA
  • Remote and hybrid learning with CKLA
  • CKLA Scopes and Sequences
    • Grade K Skills and Knowledge
    • Grade 1 Skills and Knowledge
    • Grade 2 Skills and Knowledge
    • Grade 3 Integrated
    • Grade 4 Integrated
    • Grade 5 Integrated
  • Click the CKLA Student Hub button below.
  • Select Log in with Amplify.
  • Enter the student username and password found on the login flyer PDF provided to you.
    • Click the CKLA Student Hub icon.
    • Select a grade level.
  • Illuminate
  • SchoolCity
  • Otus
    • detailed lesson plans.
    • unit and chapter overview documentation.
    • differentiation strategies.

Tables

Which services are right for me?

1. Materials and implementation support

2. Full-service

3. Consultancies

Professional development Coaching and training

Tutoring materials High-quality instructional materials and nationally normed reading assessments

  

Program management

  

Amplify tutors

  
  

Option two

Option three


Prepare

Begin

Practice

Advance


Program-agnostic sessions will set up educators for success in areas such as the Science of Reading and/or problem-based approaches to math.


Program-aligned packages will support those who are new to Amplify’s programs.


Program-aligned packages will support those who have experience using Amplify’s programs.


Offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.

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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.

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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.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

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!

Welcome to your Amplify Science California pilot!

We’re thrilled to welcome you to the Amplify family, and we look forward to making your experience with Amplify Science California successful from day one.

On this site, you’ll find resources, tips, videos, and other helpful information designed to support you throughout your pilot experience.

Collage of three images showing children engaged in various activities: two boys with a book, two girls using straws, and a group watching intently. Connected by abstract lines and circles.
A woman sits at a table, using a laptop and a textbook. She is in a classroom with shelves of educational supplies in the background.

Tips for getting started successfully

It takes time to learn any new program and get used to its patterns and flow—time that you aren’t always afforded in a pilot situation. Based on our work with thousands of pilot teachers who are now happy users, we can tell you with 100% confidence that it gets easier. In no time, you’ll be preparing and delivering all your lessons with ease.

Until you become comfortable with the organization of each unit and how one lesson flows into the next, the following resources will be key in helping you prepare to teach your first unit.

Unit Guide

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.

Ready to download? Navigate to your grade level using the menu bar above, scroll to the Unit Types section, and then download the appropriate Unit Guide(s).

Cover and inner pages of a unit guide titled "Patterns of Earth and Sky" for Grade 5, featuring text explanations and images related to science concepts.
Laptop screen displaying an educational website with a lesson on "tortoise parts" featuring a colorful turtle graphic on the header.

Lesson Overview

Reading this short summary is a great way to get a quick snapshot of the learning that will take place during the day ahead. It includes a short description of the lesson, student learning objectives, and an at-a-glance list of activities.

Where to find it? Log into the digital Teacher’s Guide and navigate to the lesson you want to teach by following this click path: Grade Level > Unit > Chapter > Lesson. Next, scroll to the Lesson Brief section and click Overview. This same information is also found in your printed Teacher’s Reference Guide.

Material and preparation tips

Also found in the Lesson Brief section of your digital Teacher’s Guide and printed Teacher’s Reference Guide is a complete list of materials that you’ll need to gather as well as step-by-step lesson preparation tips organized by:

  • Before the Day of the Lesson
  • Immediately Before the Lesson
  • At the End of the Day
A laptop screen displays the Amplify Science platform, showing a lesson plan titled Materials and Preparation with text boxes detailing teaching steps and preparation tips.
A screenshot of an academic paper about "animal and plant defenses" showing a table of contents with 30 statements, organized into lessons and chapters.

3-D Statements

Color-coded for easy readability and quick scanning, our 3-D Statements can be found at point-of-use for every unit and lesson, making it easy to pinpoint the exact SEPs, DCIs, and CCCs that will be targeted on any given day.

Where to find them? Log into the digital Teacher’s Guide and navigate to any Unit Guide or Lesson Brief and click the expandable box called 3-D Statements. A complete list of 3-D Statements can also be found in the back of any printed Teacher’s Reference Guide.

Coherence Flowcharts

These are another great tool for helping you visualize the flow of a unit and the connections between the questions that drive students’ experiences and:

  • The evidence they gather
  • The solutions they figure out
  • The new questions they generate

Where to find them? Log into the digital Teacher’s Guide, navigate to your desired unit, scroll to the Unit Guide, and look in the Printable Resources section.

Amplify Science California supports you every step of the way on your journey to the California NGSS.

Support is always within reach

Your role as a pilot teacher is important. Your district is counting on you not only to evaluate how Amplify Science California works in your classroom, but also to pick a reliable and supportive long-term partner. We feel confident that we’re that partner, and we look forward to proving that to you during your pilot experience.

Just as it will be when you become a customer, support during your pilot will always be within reach through the following channels.

Pilot support coordinator

Your dedicated pilot support coordinator has extensive experience delivering training, rostering students, answering both pedagogical and technical questions, and delivering demonstration lessons. Said another way, he or she is here to help. So, don’t hesitate to reach out.

Who is my pilot support coordinator? Look for his or her contact information in the pilot support brochure that you received during your pilot implementation training.

Amplify Science California supports you every step of the way on your journey to the California NGSS.
Interface of an educational website on animal and plant defenses, featuring chapter tiles with illustrations, and a chat support window labeled 'Hi Teacher' offering new conversation options.

Intercom chat

In addition to traditional lines of communication, our Intercom feature gives you the ability to chat with our customer support, technical support, and pedagogical support teams in real time directly from the digital platform. This ensures that issues that arise in the classroom can be addressed as quickly as possible.

Support teams can be reached from 4 a.m. to 4 p.m. PST, Monday through Friday.

Email

Our customer support, technical support, and pedagogical support teams can also be reached by email at help@amplify.com.

Support teams can be reached from 4 a.m. to 4 p.m. PST, Monday through Friday.

Open-plan office with people working at desks, multiple computer monitors, plants, and bright natural light from large windows.

Welcome to your Amplify Science pilot!

We’re thrilled to welcome you to the Amplify family, and we look forward to making your experience with Amplify Science successful from day one.

On this site, you’ll find resources, tips, videos, and other helpful information designed to support you throughout your pilot experience.

A woman sitting at a desk in a classroom, using a laptop and reviewing a spiral notebook with papers scattered around.

Tips for getting started successfully

It takes time to learn any new program and get used to its patterns and flow—time that you aren’t always afforded in a pilot situation. Based on our work with thousands of pilot teachers who are now happy users, we can tell you with 100% confidence that it gets easier. In no time, you’ll be preparing and delivering all your lessons with ease.

Until you become comfortable with the organization of each unit and how one lesson flows into the next, the following resources will be key in helping you prepare to teach your first unit.

Laptop screen displaying an educational website with a lesson on "tortoise parts" featuring a colorful turtle graphic on the header.

Lesson Overview

Reading this short summary is a great way to get a quick snapshot of the learning that will take place during the day ahead. It includes a short description of the lesson, student learning objectives, and an at-a-glance list of activities.

Where to find it? Log into the digital Teacher’s Guide and navigate to the lesson you want to teach by following this click path: Grade Level > Unit > Chapter > Lesson. Next, scroll to the Lesson Brief section and click Overview. This same information is also found in your printed Teacher’s Reference Guide.

Material and preparation tips

Also found in the Lesson Brief section of your digital Teacher’s Guide and printed Teacher’s Reference Guide is a complete list of materials that you’ll need to gather as well as step-by-step lesson preparation tips organized by:

  • Before the Day of the Lesson
  • Immediately Before the Lesson
  • At the End of the Day
Laptop displaying an educational science website with various navigation tabs and text content visible on the screen.
A screenshot of an academic paper about "animal and plant defenses" showing a table of contents with 30 statements, organized into lessons and chapters.

3-D Statements

Color-coded for easy readability and quick scanning, our 3-D Statements can be found at point-of-use for every unit and lesson, making it easy to pinpoint the exact SEPs, DCIs, and CCCs that will be targeted on any given day.

Where to find them? Log into the digital Teacher’s Guide and navigate to any Unit Guide or Lesson Brief and click the expandable box called 3-D Statements. A complete list of 3-D Statements can also be found in the back of any printed Teacher’s Reference Guide.

Coherence Flowcharts

These are another great tool for helping you visualize the flow of a unit and the connections between the questions that drive students’ experiences and:

  • The evidence they gather
  • The solutions they figure out
  • The new questions they generate

Where to find them? Log into the digital Teacher’s Guide, navigate to your desired unit, scroll to the Unit Guide, and look in the Printable Resources section.

Flowchart outlining animal and plant defenses with sections for unit title, typical defenses, and steps in educational exploration, set on a white background with blue and orange accents.
Amplify Science California supports you every step of the way on your journey to the California NGSS.

Support is always within reach

Your role as a pilot teacher is important. Your district is counting on you not only to evaluate how Amplify Science works in your classroom, but also to pick a reliable and supportive long-term partner. We feel confident that we’re that partner, and we look forward to proving that to you during your pilot experience.

Just as it will be when you become a customer, support during your pilot will always be within reach through the following channels.

Pilot support coordinator

Your dedicated pilot support coordinator has extensive experience delivering training, rostering students, answering both pedagogical and technical questions, and delivering demonstration lessons. Said another way, he or she is here to help. So, don’t hesitate to reach out.

Who is my pilot support coordinator? Look for his or her contact information in the pilot support brochure that you received during your pilot implementation training.

Amplify Science California supports you every step of the way on your journey to the California NGSS.

Intercom chat

In addition to traditional lines of communication, our Intercom feature gives you the ability to chat with our customer support, technical support, and pedagogical support teams in real time directly from the digital platform. This ensures that issues that arise in the classroom can be addressed as quickly as possible.

Support teams can be reached from 4 a.m. to 4 p.m. PST, Monday through Friday.

Email

Our customer support, technical support, and pedagogical support teams can also be reached by email at help@amplify.com.

Support teams can be reached from 7 a.m. to 7 p.m. EST, Monday through Friday.

Creating lasting change in K–5 math and literacy instruction

Two women seated at a table engage in a lively conversation. One is using a laptop, likely discussing innovative teaching practices. Bookshelves filled with resources for empowering students are visible in the background, perhaps hinting at their dedication to star awards in education.

Transforming math and literacy education takes more than just tips and tricks—it requires vision, commitment, and the right support. Whether you’re rethinking early literacy skills instruction, refining math core curriculum, or fostering a culture of collaboration, you need strong leadership and proven strategies for real change to occur.

“Sustained, meaningful change doesn’t happen overnight,” said Kymyona Burk, Ed.D., a senior policy fellow at ExcelinEd and the keynote speaker at our recent Leading With Vision symposium. “It requires commitment, collaboration, and a clear vision for supporting both educators and students.”

At the symposium—which included keynotes, panels, and math and literacy tracks—education experts from across the country shared experiences navigating instructional shifts, leading curriculum implementation, and setting schools up for success. From building buy-in to making data-driven decisions, their actionable insights can empower you with the knowledge and tools to create lasting change in your district.

Read on for a recap of the core presentations. You can also watch or listen along—and, for extra credit, download the workbook to deepen your learning.

Opening keynote: Key Factors for Successful Transformation in Literacy and Math

Kymyona Burk, Ed.D.
Senior Policy Fellow, ExcelinEd

In her session, Kymona Burk made the case that real student learning progress in literacy and math doesn’t come from policy alone—it requires systemic, research-based change in classrooms. Too often, schools focus on interventions for struggling students instead of strengthening core instruction to prevent gaps in the first place. She pointed to Mississippi’s success in narrowing achievement gaps as proof that evidence-based teaching, teacher support, and family engagement drive meaningful, lasting improvement.

A key factor in that success, she argued, was a firm commitment to the Science of Reading. “We have decades of research on how children learn to read, and we can’t afford to ignore it,” she said.

Burk also stressed math’s similarities to literacy when it comes to effective teaching methods. Just as students need structured, research-backed reading instruction, they also need math teaching and instructional materials that build deep understanding rather than rely on rote memorization. Achieving this, she said, requires strong materials, better teacher training, and a commitment to using data to refine strategies. The path to better outcomes isn’t a mystery—what’s needed is leadership and persistence.

Key takeaways:

  • Tier 1 instruction is the foundation. Schools must prioritize high-quality core instruction to prevent learning gaps.
  • Literacy and math both need urgent attention. Math reform has lagged behind literacy efforts, but both require evidence-based teaching and structured support.
  • Teachers need more than just training. Professional development must be paired with coaching, collaboration, and access to the right materials.
  • Sustained effort leads to results. Mississippi’s success proves that achievement gaps can be closed with consistent investment in people, resources, and accountability.

Leadership Lessons Learned in Baltimore City Schools That Impact Change Everywhere

Janise Lane
VP of Customer Transformation, Amplify; former Executive Director of Teaching and Learning, Baltimore City Schools

Janise Lane’s talk centered on Baltimore City Schools’ multi-year effort to implement a more effective literacy curriculum, highlighting the importance of managing both the logistical and emotional aspects of change. While the district had strong, committed educators, student performance remained stagnant, prompting a curriculum audit and a shift toward evidence-based instruction.

Lane described how to build buy-in and sustainability by ensuring that change is not dictated solely by district leadership. “We had to shift from a system where decisions were made at the top, to one where teachers, families, and community members were true decision-makers,” Lane said.

She also emphasized the need to recognize and address resistance. “Everybody approaches change differently, and it’s our job as leaders to attend to all of those emotions,” Lane said. The key to success, she noted, is creating structured pathways for implementation while remaining adaptable and open to feedback and real classroom experiences.

Key takeaways:

  • Balance structure with flexibility. A clear plan is necessary, but it must adapt based on feedback, data, and the realities of implementation.
  • Small wins build momentum. Celebrating early progress helps shift mindsets from skepticism to belief in the change.
  • Trust and transparency matter. Educators need to see that leadership is engaged, responsive, and committed to making change work for everyone.

Making Math People: Key Shifts in How We Think of Math Assessment

Patrick Callahan, Ph.D.
Educator; Founder, Math ANEX

During his talk, Patrick Callahan emphasized the ways that asset-based assessments measure not just what students don’t know, but the depths of their mathematical thinking. Instead of relying on traditional multiple-choice tests, his approach encourages open-ended responses, allowing teachers to analyze how students arrive at their answers.

Callahan noted that by looking beyond correctness to understand reasoning, teachers can better target instruction. “If all I see is that 37% of my students got an area problem right, I might think I need to reteach area,” Callahan explained. “But if I analyze responses, I see that some kids are correctly multiplying but misunderstanding overlapping rectangles, while others are actually calculating perimeter instead. That tells me exactly where to focus my instruction.”

His research also shows a correlation between students who demonstrated conceptual understanding (such as interpreting remainders in division problems) and higher performance on standardized tests—evidence that fostering deep thinking supports both engagement and achievement.

Key takeaways:

  • Assessments should focus on thinking, not just accuracy. Open-ended questions provide deeper learning opportunities.
  • Targeted teaching saves time. Knowing why students struggle prevents unnecessary reteaching.
  • Classroom discussions boost comprehension. Encouraging students to explain their thinking deepens understanding.

Creating a Supportive Environment for Educators During Times of Instructional Change

Ricky Robertson
Educator; author; consultant

“The number one influence on team effectiveness is psychological safety,” Ricky Robertson said during his symposium session. “Not how talented the individuals are, but how they interact with one another.” His talk focused on how the knowledge that one can speak up without fear of punishment or humiliation affects school culture, educator well-being, and student success, citing research such as Google’s Project Aristotle that demonstrates how high-performing teams thrive not on individual expertise but the quality of interactions among team members.

He also noted that toxic workplace dynamics—such as fear-based leadership, cliques, and bullying—contribute to burnout, disengagement, and resistance to change. Stressing that “strategies don’t transform schools, systems do,” he shared case studies of schools that changed their culture by fostering open communication, restructuring leadership teams, and implementing clear decision-making processes. Creating a safe environment isn’t just about being nice, Robertson said. Robertson noted that creating a safe environment isn’t just about being nice, but about building systems that allow educators to collaborate, support one another, and better serve their students.

Key takeaways:

  • Psychological safety boosts performance. Schools that report a high sense of psychological safety see increased collaboration, innovation, and teacher retention.
  • Structured collaboration matters. Schools with clear communication protocols and leadership structures create more productive teams.
  • Change starts with educators. Supporting teachers’ well-being and professional growth is the foundation for student success.

More to explore

Meet the 2025 Science of Reading Star Awards finalists

Three ribbons on a blue background: a yellow ribbon with paper symbolizing personalized learning, a blue ribbon with a rocket representing MTSS strategies, and an orange ribbon with a star.

Celebrating the 2025 Science of Reading Star Awards finalists

Every day, teachers and education leaders across the country are guiding students toward a future lit up by literacy.

It’s not always easy—especially when they’re the ones championing and implementing shifts toward literacy programs grounded in the Science of Reading.

That’s why we’re thrilled to celebrate the finalists of the 2025 Science of Reading Star Awards!

These awards recognize the educators who go above and beyond to make evidence-based reading instruction a reality for students learning in their schools and districts. Whether they’re rolling out new district-wide literacy programs, coaching fellow educators, or introducing innovative teaching practices, these education leaders are making a real difference for students.

And just like the light from distant stars, the impact of their efforts reaches far and wide, shaping futures for years to come.

Empowering students through literacy

The Science of Reading Star Awards aim a beacon on the champions of literacy—teachers, administrators, and education leaders who are putting the best literacy research into action.

Studies show that systematic phonics instruction—one of the key components of the Science of Reading—leads to significantly higher reading achievement than alternative methods, particularly for struggling readers. Literacy instruction grounded in the Science of Reading strengthens critical thinking by systematically building the language comprehension skills—like vocabulary, syntax, and background knowledge—that students need to make meaning, draw inferences, and evaluate ideas in complex texts. And when you teach knowledge in tandem with literacy, you inspire students to become confident readers, writers, and thinkers.

But shifting to instruction aligned to the Science of Reading isn’t just about swapping one program for another or bringing innovative teaching methods into one classroom—it’s about leading change, engaging stakeholders, and being an inspiration to others.

These awards celebrate the educators, schools, and districts whose innovative approach to literacy is doing just that. Here’s a look at this year’s categories and finalists:

  • District: The District Captain For the leaders bringing Science of Reading practices to life across entire districts
    • Puyallup School District, WA
    • Celina City Schools, OH
    • Waukegan CUSD #60, IL
    • Madison County School District, MS
  • School: The Literacy Legend For the school that has seen significant reading gains among their students school-wide when using the Science of Reading
    • Angie Grant Elementary School, Benton School District, AR
    • Bataan Memorial Primary School, Port Clinton City School District, OH
    • Bruin Point Elementary School, Carbon School District, UT
  • Individual: The Changemaker For showcasing exemplary Science of Reading routines and practices, and serving as an inspiration to others on the journey
    • Stephanie Wilcox, District Elementary School Improvement Specialist, Redmond School District, OR
    • Emily Tessalone Garcia, Grade 8 Teacher, Passaic City Public School District, NJ
    • Reena Mathew, Literacy Coach, Suffern Central School District, NY
  • Individual: The Language Luminary For outstanding success in developing the skills and strengths of multilingual/English learners
    • Johanna Quinde, Teacher, The Nancy DeBenedittis School, NY
    • Dayana Orozco Rojas, Kindergarten Dual Language Teacher, Kannapolis City School District, NC
    • Eimy Maria Galindo Medina, Grade 2 DLI Teacher, Denver Public Schools, CO
  • Individual: The Background Knowledge Builder For showing the world that the Science of Reading empowers students with knowledge, context, and vocabulary from elementary through middle school
    • Ann Ingham, Grade 3 Teacher, Cedarburg School District, WI
    • Katie Chappell. Grade 5 Teacher, Rome City School District, GA
    • Demi Grosely, Teacher, Clarkston School District, WA
  • Individual: The MTSS Maestro For implementing a data-driven Multi-Tiered System of Supports (MTSS) framework that creates a thriving and robust literacy ecosystem
    • Samantha Umali, Special Education Teacher and Elementary K–4 General Education Teacher, Bering Strait School District, AK
    • Kylie Altier, Grade 1 Teacher, East Baton Rouge Parish School System, LA
    • Erin Custadio, Elementary Literacy Manager, Falmouth Public School District, MA
    • Victoria Green, Reading Specialist, Roswell Independent School District, NM
  • Individual: The Science of Reading Rookie For a teacher in their first year already making strides with the Science of Reading
    • Miracle Austin, Kindergarten Teacher, Guilford Preparatory Academy, NC
    • Pei-Ching Peng, Instructional Apprentice, Uplift Elevate Preparatory, TX
    • Todd Payne, Elementary Teacher, Renaissance School, WI
  • Individual: The Cross-Disciplinarian For skilled weaving of literacy practices across subject areas in the classroom
    • Katie Kirkpatrick, Teacher, Graham Dustin Public Schools, OK
    • Laura Horvath, K–12 Science & Social Studies Curriculum Coordinator, Harrison School District 2, CO
    • Christina Miller, Lower Elementary Teacher, South Bend Community School Corporation, IN
  • Individual: The Writing Whiz For integrating writing instruction with the Science of Reading and cultivating articulate and confident writers through innovative and effective practices
    • Michelle Luebbering, Grade 5 Teacher, Jefferson City School District, MO
    • Jennifer Dove, Grade 3 Teacher, Rockingham County Public School District, VA
    • Daphne Long, Teacher, St. Clair County School District, AL

From districts undergoing transformations to educators supporting professional development on the ground, these finalists are proving that with the right approach—and the right support—every child can become a strong reader.

Congratulations, finalists! We know the long hours, extra effort, and deep belief in your students that fuels your work. You’re making the future brighter, one reader at a time!

Learn more on our Science of Reading Star Awards page.

Season 9, Episode 1

Literacy as a catalyst for change, with Ray James

In the Season 9 premiere of Science of Reading: The Podcast, Susan Lambert speaks with Ray James, Head of School at the Boyce N. Ansley School, about the transformative impact of literacy instruction. The Ansley School, which serves children experiencing homelessness, has made evidence-based literacy instruction a key piece of its efforts to foster profound educational and community change. Ray shares his journey and explores how a focus on literacy provides benefits that extend beyond the classroom to the broader community. This episode underscores the importance of foundational literacy skills and sets the stage for a new season dedicated to a literacy reboot.

 

Meet Our Guest(s):

A man with a shaved head and goatee smiles at the camera, framed by a circular graphic with a yellow light bulb icon in the lower right corner, representing insights from the Science of Reading Podcast on effective literacy instruction.

Ray James

Ray James is Head of School at The Ansley School in Atlanta, Georgia. Born and raised in north Louisiana, Ray is a critically conscious and outcomes-driven educational leader with nearly 15 years of experience in various roles, including substitute teacher, literacy teacher, instructional coach, and assistant principal. He holds degrees from Louisiana State University and is passionately committed to fostering educational equity and supporting the limitless potential of all children. Under his leadership, The Ansley School provides holistic education to children experiencing homelessness, emphasizing the transformative power of structured literacy. Outside of work, Ray enjoys spending time with his family and is an avid fan of the Los Angeles Lakers and LSU Tigers.

Meet our host, Susan Lambert

Susan Lambert is the Chief Academic Officer of Elementary Humanities at Amplify, and the host of Science of Reading: The Podcast. Throughout her career, she has focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. As a former classroom teacher, administrator, and curriculum developer, Lambert is dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Portrait of a woman with short blonde hair, wearing glasses, a black top, and a necklace. She is smiling and facing the camera.

Quotes

“Ultimately, kids can thrive and grow in conditions that you may not ever have imagined. I want our school to prove nature's law is wrong.”

—Ray James

“We aim to shift the standard. Good simply cannot be good enough for populations experiencing extreme trauma. Literacy is the key to unlocking imagination, creativity, and transformation.”

—Ray James

“Education isn't just about academics—it's about creating a safe place and providing holistic, evidence-based literacy instruction that catalyzes real change.”

—Ray James

“We’re not just doing school, but educating people. I think a lot of people do school, we’re trying to educate our community holistically.”

—Ray James

“Our goal is not just to do school differently, but to prove that with the right support, students can achieve beyond expectations.”

—Ray James

“If you don't get reading right in an elementary school, every piece of the school suffers.”

—Ray James

Special miniseries, Episode 5

Serving every student, in every seat, speaking any language, with Genie Baca

This episode features an in-depth conversation with Genie Baca, a 33-year education veteran who has spent the last 18 years as a principal in Texas. Baca discusses her career progression from a balanced literacy classroom teacher to various educational roles along her journey to the Science of Reading—and how it all led her to a unique school predominantly serving refugee students. This school—where 39 languages are spoken by the diverse student body—faces different challenges (and opportunities) than most schools. Baca shares some of the transformative strategies implemented under her leadership, particularly focusing on the Science of Reading and high-quality instructional materials. These strategies have significantly improved literacy and engagement, with a systematic approach adjusted for Tier 1 instruction to benefit all students, including monolingual and multilingual learners. Baca’s story showcases the positive influence strong leadership, a dedicated staff, and research-based educational methodologies can have when creating an inclusive, successful learning environment for a diverse student population.

Transcripts and additional resources:

Meet Our Guest(s):

Genie Baca

Genie Baca

Genie Baca brings over three decades of experience in the field of education to her work, in which she boasts a rich and diverse background spanning various roles within the educational landscape. She has been a classroom teacher, reading recovery teacher, curriculum specialist, and assistant principal, and now serves as Principal of Eastridge Elementary. Known for being the most complex elementary school in Baca’s district, Eastridge Elementary serves 560 students from countries all over the world. Collectively, there are 39 languages represented by this student body. Recently, Baca led her campus through the implementation of Amplify, Eureka, and PhD Science curricula. She holds a bachelor’s in education and a master’s in management.

Meet our host, Susan Lambert

Susan Lambert is the Chief Academic Officer of Elementary Humanities at Amplify, and the host of Science of Reading: The Podcast. Her career has been focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. As a former classroom teacher, administrator, and curriculum developer, Lambert is dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Retrato de una mujer caucásica sonriente con cabello rubio corto, involucrada en un podcast sobre la ciencia de la lectura, con gafas, lápiz labial rojo y un collar de perlas.

Quotes

“What professional learning communities does, it teaches you, again, systems on how to look at data, how to lesson plan, how to make formative assessments, how do you respond to data, the whole everything.”

—Genie Baca

“I couldn't just lead my campus into the Science of Teaching Reading if I didn't open myself up to, maybe I was wrong…it wasn't easy, but it really took me looking at student work to prove that what I had been doing all these years wasn't working.”

—Genie Baca

“It's serving every child we have in the seat, whether they're monolingual or they speak two or three languages. What works is a systematic approach to learning how to read.”

—Genie Baca

“Now that we know better? And we know more about the research, and that how speaking and reading go together, we're just getting smarter. We're just learning more about how reading works, how the brain works, how kids acquire knowledge, and we just have to be smarter, I guess, in how we do things.”

—Genie Baca