Grade 6

Module 1: Ratios and Unit Rates

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

Module 2: Arithmetic Operations Including Division of Fractions

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

Module 3: Rational Numbers

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

Module 4: Expressions and Equations

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

Module 5: Area, Surface Area, and Volume Problems

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

Module 6: Statistics

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

Grade 7

Module 1: Ratios and Proportional Relationships

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

Module 2: Rational Numbers

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

Module 3: Expressions and Equations

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

Module 4: Percent and Proportional Relationships

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

Module 5: Statistics and Probability

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

Module 6: Geometry

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

Grade 8

Module 1: Integer Exponents and Scientific Notation

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

Module 2: The Concept of Congruence

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

Module 3: Similarity

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

Module 4: Linear Equations

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

Module 5: Examples of Functions from Geometry

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

Module 6: Linear Functions

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

Module 7: Introduction to Irrational Numbers Using Geometry

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

Grade 6

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

Chapter 2: Fractions and Decimals

Big IdeasAmplify Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasAmplify Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasAmplify Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

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

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple EquationsWorking Backwards
Lesson 1.3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.5: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear FunctionsShelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept FormFive Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 4.5: Analyzing Lines of FitPenguin Populations
Behind the Headlines
City Data
Residual Fruit
Lesson 4.6: Arithmetic SequencesMore Visual Patterns
Sequence Carnival
Lesson 4.7: Piecewise FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.7: Systems of Linear InequalitiesQuilts
Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6: Geometric SequencesMore Visual Patterns
Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by SubstitutionCraft-a-Graph
Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear EquationsOn the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 8.5: Systems of Linear InequalitiesParabola Zapper
Two for One
Shooting Stars
Lesson 8.6: Systems of Linear InequalitiesPlane, Train, and Automobile
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Revisiting Visual Patterns, Part 1
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and VariationFinding Desmo

Disclaimer

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

Eureka Math® crosswalk to Amplify Desmos Math free lessons

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathAmplify Classroom
Topic A Representing and Reasoning About Ratios 
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 4: Fruit Lab
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 3
Lesson 6: Soft Serve
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 6: Soft Serve
Lesson 24: Percent and Rates per 100Unit 3
Lesson 9: Lucky Duckies

Module 2: Arithmetic Operations Including Division of Fractions

Topic A Dividing Fractions by Fractions
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 3: Flour Planner
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 6: Fill the Gap
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 6: Fill the Gap
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Rational Numbers

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 4: Order in the Class

Module 4: Expressions and Equations

Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: The Relationship of Addition and SubtractionUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
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 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6
Lesson 1: Weight for It
Lesson 25: Finding Solutions to Make Equations TrueUnit 6
Lesson 1: Weight for It
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6
Lesson 1: Weight for It
Topic H Applications of Equations 
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7
Lesson 7: Tunnel Travels

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 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Topic D Nets and Surface Area 
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1
Lesson 10: Renata’s Stickers

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8
Lesson 3: Minimum Wage
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8
Lesson 5: The Plot Thickens
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 8
Lesson 11: Toy Cars
Topic D Summarizing and Describing Distributions 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Creating a Dot PlotUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathAmplify Classroom
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint
 
Unit 4
Lesson 1: Mosaics
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
Topic B Unit Rate and the Constant of Proportionality 
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 6: Two and Two
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
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 6: Two and Two
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 7: Will It Fit?

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
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 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10; Integer Puzzles
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 10: Integer Puzzles
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6
Lesson 10: Collect the Squares
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 10: Collect the Squares
Lesson 10: Angle Problems and Solving EquationsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3
Lesson 3: Measuring Around
Lesson 17: The Area of a CircleUnit 3
Lesson 9: Area Challenges
Lesson 18: More Problems on Area and CircumferenceUnit 3
Lesson 9: Area Challenges

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4
Lesson 1: Mosaics
Lesson 2: Part of a Whole as a PercentUnit 4
Lesson 1: Mosaics
Lesson 3: Comparing Quantities with PercentUnit 4
Lesson 1: Mosaics
Lesson 4: Percent Increase and DecreaseUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4
Lesson 12: Posing Percent Problems
(coming soon!)
Topic C Scale Drawings 
Lesson 13: Changing ScalesUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8
Lesson 10: Crab Island

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8
Lesson 10: Crab Island
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8
Lesson 10: Crab Island
Topic D Comparing Populations 
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 8
Lesson 10: Crab Island

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
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 7
Lesson 4: Missing Measures
Topic B Constructing Triangles 
Lesson 8: Drawing TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7
Lesson 5: Can You Build It?
Topic D Problems Involving Area and Surface Area 
Lesson 22: Area Problems with Circular RegionsUnit 3
Lesson 9: Area Challenges

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathAmplify Classroom
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 
Lesson 1: Circles
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 
Lesson 3: Power Pairs
Topic B Magnitude and Scientific Notation 
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

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 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Translating LinesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic B Sequencing the Basic Rigid Motions 
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1
Lesson 13: Tessellate
Lesson 14: More on the Angles of a TriangleUnit 1 
Lesson 12: Puzzling It Out

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2
Lesson 6: Social Scavenger Hunt
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2
Lesson 6: Social Scavenger Hunt
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 4: Solving a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Writing and Solving Linear EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Solutions of a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Topic B Linear Equations in Two Variables and Their GraphsUnit 3
Lesson 4: Flags
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3
Lesson 1: Turtle Time TrialsLesson 4: Flags
Lesson 11: Constant RateUnit 3
Lesson 4: Flags
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 
Lesson 4: Flags
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3
Lesson 4: Flags
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3
Lesson 4: Flags
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3
Lesson 4: Flags
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3
Lesson 4: Flags
Lesson 22: Constant Rates RevisitedUnit 3
Lesson 1: Turtle Time Trials
Topic D Systems of Linear Equations and Their Solutions 
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Formal Definition of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 3: Linear Functions and ProportionalityUnit 3
Lesson 1: Turtle Time Trials
Lesson 5: Graphs of Functions and EquationsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 3
Lesson 4: Flags
Lesson 7: Comparing Linear Functions and GraphsUnit 5
Lesson 5: The Tortoise and the Hare
Topic B Volume 
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5
Lesson 11: Cylinders

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5
Lesson 1: Turtle CrossingLesson 5: The Tortoise and the Hare
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 
Lesson 3: Robots
Lesson 8: Informally Fitting a LineUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5
Lesson 5: The Tortoise and the Hare
Topic D Bivariate Categorical Data 
Lesson 14: Association Between Categorical VariablesUnit 6
Lesson 11: Finding Associations

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 2: Square RootsUnit 8
Lesson 4: Root Down
Lesson 4: Simplifying Square RootsUnit 8
Lesson 4: Root Down
Topic C The Pythagorean Theorem 
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck

Algebra 1

Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

Topic A: Introduction to Functions Studied this Year—Graphing Stories

Lesson 1: Graphs of Piecewise FunctionsPumpkin Prices
Lesson 2: Graphs of Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns

Topic C: Solving Equations and Inequalities

Lesson 10: True and False EquationsSame Position
Lesson 11: Solution Sets for Equations and InequalitiesWorking Backwards
Solving Strategies
Shelley the Snail
Lesson 19: Rearranging FormulasSubway Seats
Various Variables
Lesson 21: Solution Sets to Inequalities with Two VariablesPizza Delivery
Lesson 22 & Lesson 23: Solution Sets to Simultaneous Equations (and Inequalities)Shape It Up
Lizard Lines
Quilts
Seeking Solutions

Module 2: Descriptive Statistics

Topic D: Numerical Data on Two Variables

Lesson 14: Modeling Relationships with a LineCity Slopes
Residual Fruit
Penguin Populations
Lesson 19: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
Behind the Headlines
City Data

Module 3: Linear and Exponential Functions

Topic A: Linear and Exponential Sequences

Lesson 3: Arithmetic and Geometric SequencesSequence Carnival
More Visual Patterns
Lesson 5: The Power of Exponential GrowthCarlos’s Fish

Topic B: Describing Variability and Comparing Distributions

Lesson 4: Summarizing Deviations from the MeanFinding Desmo
Lesson 13: Interpreting the Graph of a FunctionCraft-a-Graph
Lesson 14: Linear and Exponential Models – Comparing Growth RatesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Topic D: Using Functions and Graphs to Solve Problems

Lesson 21: Comparing Linear and Exponential Models AgainPlane, Train, and Automobile
Lesson 21: Comparing Linear and Exponential Models AgainCarlos’s Fish

Module 4: Polynomial and Quadratic Expressions, Equations, and Functions

Topic A: Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles

Lesson 8: Exploring the Symmetry in Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Robot Launch
Lesson 9: Graphing Quadratic Functions from Factored Form, 𝑓(𝑥)=𝑎(𝑥−𝑚)(𝑥−𝑛)Two for One
Parabola Zapper
Shooting Stars
Lesson 10: Interpreting Quadratic Functions from Graphs and TablesStomp Rockets

Topic B: Using Different Forms for Quadratic Functions

Lessons 11–12: Completing the SquareSquare Tactic
Lesson 15: Using the Quadratic FormulaStomp Rockets in Space

Topic C: Function Transformations and Modeling

Lesson 18: Graphing Cubic, Square Root, and Cube Root FunctionsSorting Relationships
Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different WaysSorting Relationships

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 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: Area and Surface Area

Amplify MathDesmos Math 6–A1
Unit 1: Area and Surface AreaUnit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: The TangramUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Exploring the TangramUnit 1
Lesson 2: Letters
Sub-Unit 1 : Area of Special Polygons
Lesson 3: Tilting the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Compositing and Rearranging to Determine AreaUnit 1
Lesson 2: Letters
Lesson 5: Reasoning to Determine AreaUnit 1
Lesson 2: Letters
Lesson 6: ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 7: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 8: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 9: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 10: Bases and Heights of TrianglesUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 11: Formula for the Area of a TriangleUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 12: From Triangles to TrapezoidsUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 13: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons Practice Day 1 (Print available)

Unit 7
Lesson 11: Polygon Maker
Sub-Unit 2: Nets and Surface Area
Lesson 14: What is Surface Area?Unit 1
Lesson 9: Renata’s Stickers
Lesson 15: Nets and Surface Area of Rectangular PrismsUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11:Nothing but Nets(Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 16: Nets and Surface Area of PrismsUnit 1
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 17: Constructing a RhombicuboctahedronUnit 1
Lesson 13: Take It To Go (Print available)
Lesson 18: Simplifying Expressions for Squares and CubesUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 19: Simplifying Expressions Even More Using ExponentsUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 20: Designing a Suspended Tent 

Unit 2: Introducing Ratios

Amplify MathDesmos Math 6–A1
Unit 2: Introducing RatiosUnit 2: Introducing Ratios
Lesson 1: Fermi Problems 
Sub-Unit 1: What are Ratios?
Lesson 2: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3:Rice Ratios (Print available)
Lesson 4: A Recipe for Purple Oobleck 
Lesson 5: Kapa Dyes 
Sub-Unit 2:Equivalent Ratios
Lesson 6: Defining Equivalent RatiosUnit 2
Lesson 3: Rice Ratios (Print available)
Lesson 4: Fruit Lab (Print available)
Lesson 11: Community Life (Print available)
Practice Day 1 (Print available)
Lesson 7: Representing Equivalent Ratios with Tables 
Lesson 8: Reasoning with Multiplication and Division (optional) 
Lesson 9: Common Factors 
Lesson 10: Common Multiples 
Lesson 11: Navigating a Table of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 12: Tables and Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 13: Tempo and Double Number LinesUnit 2
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Sub-Unit 3: Solving Ratio Problems 
Lesson 14: Solving Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 15: Part-Part-Whole RatiosUnit 2
Lesson 12 Mixing Paint, Part 2
Lesson 13: City Planning
Lesson 16: Comparing Ratios 
Lesson 17: More Comparing and Solving 
Lesson 18: Measuring with Different-Sized Units 
Lesson 20: More Fermi Problems 

Unit 3: Rates and Percentages

Amplify MathDesmos Math 6–A1
Unit 3: Rates and PercentagesUnit 2: Introducing Ratios
Unit 3: Unit Rates and percentages
Lesson 1: Choosing Representation for Student CouncilLaunch Lesson
Sub-Unit 1: Rates
Lesson 2: How Much for One?Unit 3
Lesson 4: Model Trains
Lesson 3: Constant Speed  
Lesson 4: Comparing SpeedsUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 5: Interpreting RatesUnit 3
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 6: Comparing Rates 
Lesson 7: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Sub-Unit 2: Percentages
Lesson 8: What Are percentages?Unit 3
Lesson 8: Lucky Duckies
Lesson 9: Bicycle Goals
Lesson 9: Determining Percentages 
Lesson 10: Benchmark PercentagesUnit 3
Lesson 7: Lucky Duckies
Lesson 11: Finding This Percent of ThatUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 12: This Percent of What 
Lesson 13: Solving Percentage ProblemsUnit 3
Lesson: 10: What’s Missing (Print available)
Lesson: 11: Cost Breakdown
Lesson: 12: More Bicycle Goals
Lesson: 13: A Country as a Village
Lesson 14: If Our Class Were the World 
Lesson 15: Voting for a School Mascot 

Unit 4: Dividing Fractions

Amplify MathDesmos Math 6–A1
Lesson 1: Seeing Fractions
Sub-Unit 1: Interpreting Division Scenarios
Lesson 3: Relating Multiplication and Division 
Lesson 4: Size of Divisor and Size of QuotientUnit 4
Lesson 1: Cookie Cutter
Sub-Unit 2: Division with Fractions
Lesson 5: How Many GroupsUnit 4
Lesson 3: Flour Planner
Lesson 4: Flower Planters
Lesson 4: Garden Bricks (Print available) 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap
Lesson 7: Dividing with Common DenominatorsUnit 4
Lesson 6: Fill the Gap
Lesson 8: How Much in Each Group? (Part 1)Unit 4
Lesson 8: Potting Soil
Lesson 9: How Much in Each Group? (Part 2)Unit 4
Lesson 8: Potting Soil
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 11: Using an Algorithm to Divide FractionsUnit 4
Lesson 9: Division Challenges Practice Day
Lesson 13: Fractional LengthsUnit 4
Lesson 12: Puzzling 
Lesson 14: Area with Fractional LengthsUnit 4
Lesson 9: Puzzling Area (Print available)
Lesson 15: Volume of PrismsUnit 4
Lesson 13: Volume Challenges (Print available)
Lesson 16: Fish Tanks Inside of Fish TanksUnit 4
Lesson 10: Swap Meet
Lesson 17: Now, Where Was That Bus?Unit 4
Lesson 10: Capstone

Unit 5: Arithmetic in Base Ten

Amplify MathDesmos Math 6–A1
Lesson 1: Precision and World Records 
Sub-Unit 1: Adding and Subtracting Decimals 
Lesson 2: Speaking of Decimals…Unit 5
Lesson 1: Dishing Out Decimals (Print available)
Lesson 3: Adding and Subtracting DecimalsUnit 5
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 4: X Games Medal ResultsUnit 5
Lesson 2: Decimal Diagrams
Sub-Unit 2: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5
Lesson 6: Multiplying with Areas
Sub-Unit 3: Dividing Decimals
Lesson 9: Exploring Division 
Lesson 10: Using Long DivisionUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 12: Using Related Expressions to Divide with Decimals 
Lesson 13: Dividing Multi-Digit DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 14: The So-called World’s Littlest Skyscraper

Unit 6: Expressions and Equations

Amplify MathDesmos Math 6–A1
Unit 6: Expressions and EquationsUnit 6: Expressions and Equations
Lesson 1: Detecting Counterfeit Coins
Sub-Unit 1: Expressions and Equations in One Variable
Lesson 2: Write Expressions Where Letters Stand for Numbers 
Lesson 3: Tape Diagrams and Equations 
Lesson 4: Truth and EquationsUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 5: Staying in BalanceUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Staying in Balance with Variables 
Lesson 7: Practice Solving EquationsUnit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 8: A New Way to Interpret a over bUnit 6
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 9: Revisiting Percentages
Sub-Unit 2: Equivalent Expressions
Lesson 10: Equal and Equivalent (Part 1)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 11: Equal and Equivalent (Part 2)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 12: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 13: The Distributive Property, Part 2Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 14: Meaning of ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 15: Evaluating Expressions with ExponentsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 16: Analyzing Exponential Expressions and EquationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Sub-Unit 3: Relationships Between Quantities
Lesson 17: Two Related Quantities, Part 1Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 18: Two Related Quantitites, Part 2Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 19: Creating a Class Mobile 

Unit 7: Rational Numbers

Amplify MathDesmos Math 6–A1
Unit 7: Rational Numbers
Unit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: How Far? Which Way?
Sub-unit 1: Negative Numbers and Absolute Value
Lesson 2: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig In
Lesson 2: Digging Deeper
Lesson 3: Points on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 4: Comparing IntegersUnit 7
Lesson 3: Order in the Class (Print available)
Lesson 5: Comparing and Ordering Rational NumbersUnit 7 
Lesson 3: Order in the Class (Print available)
Lesson 6: Using Negative Numbers to Make Sense of Contexts>Unit 7
Lesson 4: Sub-Zero
Lesson 7: Absolute Value of NumbersUnit 7
Lesson 5: Distance on the Number Line
Lesson 8: Comparing Numbers and Distance from ZeroUnit 7
Lesson 5: Distance on the Number Line
Sub-Unit 2: Inequalities
Lesson 9: Writing Inequalities 
Lesson 10: Graphing Inequalities 
Lesson 11: Solutions to One or More InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Lesson 12: Interpreting InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Sub-Unit 3: The Coordinate Plane
Lesson 13: Extending the Coordinate Plane 
Lesson 14: Points on the Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 15: Interpreting Points on a Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Lesson 16: Distances on a Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 17: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Letters
Lesson 5: Exploring Triangles (Print available)
Lesson 6: Triangles and Parallelograms

Unit 7
Lesson 3: Exploring Parallelograms (Print available)
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 18: Lost and Found Puzzles 
Lesson 19: Drawing on the Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Amplify MathDesmos Math 6–A1
Unit 8: Data Sets and DistributionsUnit 8: Describing Data
Lesson 1: Plausible Variation or New Species?
Sub-Unit 1: Statistical Questions and Representing Data
Lesson 2: Statistical QuestionsUnit 8
Lesson 1: Screen Time
Lesson 2: Dot Plots
Lesson 3: Interpreting Dot PlotsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 4: USing Dot Plots to Answer Statistical QuestionsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 5: Interpreting HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 6: Using Histograms to Answer Statistical QuestionsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 7: Describing Distributions on HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Sub-Unit 2: Measures of Center
Lesson 8: Mean as a Fair ShareUnit 8
Lesson 7: Snack Time
Lesson 9: Mean as a Balance PointUnit 8
Lesson 7: Snack Time
Lesson 10: MedianUnit 8
Lesson 11: Toy Cars
Lesson 12: In the News
Lesson 11: Comparing Mean and MedianUnit 8
Lesson 12: In the News
Sub-Unit 3: Measures of Variability
Lesson 12: Describing Variability 
Lesson 13: Variability and MAD 
Lesson 14: Variability and IQRUnit 8
Lesson 13: Pumpkin Patch
Lesson 15: Box PlotsUnit 8
Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Comparing MAD and IQR 
Lesson 17: Asian Elephant Populations 

Grade 7

Unit 1: Scale Drawings

Amplify MathDesmos Math 6–A1
Unit 1: Scale DrawingsUnit 1: Scale Drawings
Unit 3: Measuring Circles
Unit 4: Proportional Relationships and Percentages
Lesson 1: Scale-y Shapes 
Sub-Unit 1: Scaled Copies 
Lesson 2: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Lesson 3: Corresponding Parts and Scale FactorsUnit 1
Lesson 2: Scaling Robots 
Unit 3
Lesson 1: Toothpicks
Lesson 4: Making Scaled CopiesUnit 1
Lesson 3: Make It Scale 
Unit 4
Lesson 3: Sticker Sizes
Lesson 5: The Size of the Scale FactorUnit 1
Lesson 4: Tiles
Lesson 6: Scaling and AreaUnit 1
Lesson 5: Tiles Practice Day 1 (Print available)
Sub-Unit 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available)
Lesson 8: Creating Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 9: Scale Drawings and Maps 
Lesson 10: Changing Scale in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)Practice Day (Print available)
Lesson 13: Build Your Brand 

Unit 2: Introducing Proportional Relationships

Amplify MathDesmos Math 6–A1
Unit 2: Introducing Proportional RelationshipsUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Lesson 1: Making Music 
Sub-Unit 1: Representing Proportional Relationships with Tables and Equations
Lesson 2: Introducing Proportional Relationships with TablesUnit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)

Unit 4
Lesson 3: Sticker Sizes
Lesson 4: Comparing Relationships with TablesUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 5: Proportional Relationships and EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 6: Speed and Equations 
Lesson 7: Two Equations for Each RelationshipUnit 2
Lesson 4: Two and Two (Print available)
Lesson 5: Lesson 7: All Kinds of Equations
Lesson 8: Using Equations to Solve ProblemsUnit 2
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 9: Comparing Relationships with EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Lesson 10: Solving Problems About Proportional RelationshipsUnit 2
Lesson 12: Water Efficiency
Sub-Unit 2: Representing Proportional Relationships with Graphs 
Lesson 11: Introducing Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 12: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 13: Using Graphs to Compare RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 14: Two Graphs for Each RelationshipUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 15: Four Ways to Tell One Story (Part 1) 
Lesson 16: Four Ways to Tell One Story (Part 2) 
Lesson 17: Welcoming Committee 

Unit 3: Measuring Circles

Amplify MathDesmos Math 6–A1
Unit 3: Measuring CirclesUnit 3: Measuring Circles
Lesson 1: The Wandering Goat 
Sub-unit 1: Circumference of a Circle 
Lesson 2: Exploring CirclesUnit 3
Lesson 2: Is it a Circle?
Lesson 3: Measuring Around
Lesson 3: How Well Can You Measure? 
Lesson 4: Exploring CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 5: Understanding π 
Lesson 6: Applying CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 7: Circumference and Wheels 
Sub-Unit 2: Area of a Circle
Lesson 8: Exploring the Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 9: Relating Area to CircumferenceUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 10: Applying Area to CirclesUnit 3
Lesson 6:Radius Squares (Print available)
Lesson 11: Distinguishing Circumference and AreaUnit 3
Lesson 7: Why Pi?
Lesson 12: Capturing Space 

Unit 4: Proportional Relationships and Percentages

Amplify MathDesmos Math 6–A1
Unit 4: PercentagesUnit 4: Proportional Relationships and Percentages
Lesson 1: (Re)Presenting the United States 
Lesson 2: Understanding Percentages and Decimals 
Lesson 3: Percent Increase and DecreaseUnit 4Lesson 4: More or Less
Lesson 4: Determining 100%Unit 4Lesson 6: 100% (Print available)
Lesson 5: Determining Percent ChangeUnit 4Lesson 7: Percent Machines
Lesson 6: Percent Increase and Decrease With EquationsUnit 4Lesson 5: All the Equations
Lesson 7: Using Equations to Solve Percent ProblemsUnit 4Lesson 5: All the Equations
Sub-Unit 2: Applying Percentages 
Lesson 8: Tax and TipUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 9: Percent ContextsUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 10: Determining the PercentageUnit 4
Lesson 4: More and Less
Lesson 11: Measurement ErrorUnit 4
Lesson 11: Bookcase Builder
Lesson 12: Error IntervalsUnit 4
Lesson 11: Bookcase Builder
Lesson 13: Writing Better Headlines 

Unit 5: Rational Number Arithmetic

Amplify MathDesmos Math 6–A1
Unit 5: Rational Number ArithmeticUnit 5: Rational Number Artithmetics
Lesson 1: Target: Zero 
Sub-Unit 1: Adding and Subtracting Rational Numbers 
Lesson 2: Interpreting Negative Numbers
Lesson 3: Changing TemperaturesUnit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 4: Adding Rational Numbers 
Lesson 5: Money and Debts 
Lesson 6: Representing SubtractionUnit 5
Lesson 5: Number Puzzles
Lesson 7: Subtracting Rational Numbers (Part 1)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 8: Subtracting Rational Numbers (Part 2)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 9: Adding and Subtracting Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Sub-Unit 2: Multiplying and Dividing Rational Numbers 
Lesson 10: Position, Speed, and TimeUnit 5
Lesson 7: Back in Time
Lesson 11: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 12: Multiply!Unit 5
Lesson 7: Back in Time
Lesson 13: Dividing Rational NumbersUnit 5
Lesson 7: Speeding Turtles
Lesson 14: Negative Rates 
Sub-Unit 3: Four Operations with Rational Numbers 
Lesson 15: Expressions with Rational NumbersUnit 5
Lesson 9: Expressions (Print available)
Lesson 16: Say It With Decimals 
Lesson 17: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Lesson 18: Solving Equations With Rational Numbers 
Lesson 19: Representing Contexts With Equations 
Lesson 20: Summiting Everest 

Unit 6: Expressions, Equations, and Inequalities

Amplify MathDesmos Math 6–A1
Unit 6: Expressions, Equations, and InequalitiesUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Unit 6: Expressions, Equations, and Inequalities
Lesson 1: Keeping the Balance 
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 3: Reasoning About Solving Equations (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 4: Reasoning About Solving Equations (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 8: Factoring and Expanding (Print available)
Lesson 16: Shira the Sheep
Lesson 6: Two Ways to Solve One EquationUnit 6
Lesson 4: Seeing Struction (Print available)
Lesson 7: Practice Solving EquationsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Sub-Unit 2: Solving Real-World Problems Using Two-Step Equations 
Lesson 8: Reasoning With Tape DiagramsUnit 6
Lesson 2: Smudged Receipts
Lesson 9: Reasoning About Equations and Tape Diagrams (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 10: Reasoning About Equations and Tape Diagrams (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 11: Using Equations to Solve ProblemsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available) 
Lesson 12: Solving Percent Problems in New WaysUnit 6
Lesson 4: Seeing Structure (Print available)

Unit 4
Lesson 7: Percent MachinesPractice Day 1 (Print available)
Practice Day 2 (Print available)
Sub-Unit 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 14: Solving InequalitiesUnit 6
Lesson 5: Balancing Moves
Lesson 6: Balancing Equations
Lesson 13: I Saw the Signs
Lesson 15: Finding Solutions to Inequalities in ContextUnit 6
Lesson 13: I Saw the Signs
Practice Day 1 (Print available)
Lesson 16: Efficiently Solving InequalitiesUnit 6
Lesson 10: Collect the Squares
Lesson 17: Interpreting InequalitiesUnit 6
Lesson 13: I Saw the Signs
Lesson 14: Unbalanced Hangers
Lesson 15: Budgeting (Print available)
Lesson 18: Modeling With Inequalities 
Sub-Unit 4: Equivalent Expressions 
Lesson 19: Subtraction in Equivalent Expressions 

Unit 7: Angles, Triangles, and Prisms

Amplify MathDesmos Math 6–A1
Unit 7: Angles, Triangles, and PrismsUnit 7: Angles, Triangles, and Prisms
Lesson 1: Shaping Up 
Sub-Unit 1: Angle Relationships 
Lesson 2: Relationships of AnglesUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 3: Supplementary and Complementary Angles (Part 1) 
Lesson 4: Supplementary and Complementary Angles (Part 2) 
Lesson 5: Vertical AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 6: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 7: Like Clockwork 
Sub-Unit 2: Drawing Polygons with Given Conditions 
Lesson 8: Building Polygons (Part 1)Unit 7
Lesson 6: Is It Enough?
Lesson 9: Building Polygons (Part 2)Unit 7
Lesson 6: Is It Enough?
Lesson 10: Triangles with Three Common MeasuresUnit 7
Lesson 13: Popcorn Possibilities
Lesson 11: Drawing Triangles (Part 1)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Lesson 12: Drawing Triangles (Part 2)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Sub-Unit 3: Solid Geometry
Lesson 13: Slicing SolidsUnit 7
Lesson 9: Slicing Solids
Lesson 14: Volume of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 15: Decomposing Bases for AreasUnit 7
Lesson 11: More Complicated Prisms
Lesson 16: Surface Area of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 17: Distinguishing Volume and Surface Area
Lesson 18: Applying Volume and Surface AreaUnit 7
Lesson 13: Popcorn Possibilities

Unit 8: Probability and Sampling

Amplify MathDesmos Math 6–A1
Unit 8: Probability and SamplingUnit 8: Probability and Sampling
Lesson 1: The Invention of Fairness 
Lesson 2: Chance Experiments 
Lesson 3: What are Probabilities?Unit 8
Lesson 1: How Likely? (Print available)
Lesson 2: Prob-bear-bilities [Free lesson
Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 5: Code Breaking (Part 1)
Lesson 6: Code Breaking (Part 2)
Sub-Unit 2: Probabilities of Multi-Step Events
Lesson 7: Keeping Track of All Possible OutcomesUnit 8
Lesson 4: Spin Class
Lesson 5: Is it Fair?
Lesson 6: Fair Games
Lesson 8: Experiments With Multi-Step Events  
Lesson 9: Simulating Multi-Step Events 
Lesson 10: Designing Simulations 
Sub-Unit 3:Sampling
Lesson 11: Comparing Two PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Larger PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 13: What Makes a Good Sample?Unit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 14: Sampling in a Fair WayUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 15: Estimating Population Measures of CenterUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 16: Estimating Population ProportionsUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 17: Presentation of Findings 

Grade 8

Unit 1: Rigid Transformations and Congruence

Amplify MathDesmos Math 6–A1
Unit 1: Rigid Transformations and CongruenceUnit 1: Rigid Transformations and Congruence
Unit 3: Proportional and Linear Relationships
Lesson 1: Tessellations 
Sub-Unit 1: Rigid Transformations 
Lesson 2: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 3: Symmetry and Reflection 
Lesson 4: Grid MovesUnit 1
Lesson 3: Transformation Golf
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated

Unit 3
Lesson 6: Translations
Lesson 5: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Coordinate Moves (Part 1)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 7: Coordinate Moves (Part 2)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1
Lesson 5: Getting Coordinated
Lesson 6: Connecting the Dots
Sub-Unit 2: Rigid Transformations and Congruence 
Lesson 9: No Bending or StretchingUnit 1
Lesson 7: No Bending, No Stretching
Lesson 10: What is the Same?Unit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Lesson 11: Congruent PolygonsUnit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Sub-Unit 4: Angles in a Triangle 
Lesson 13: Line Moves 
Lesson 14: Rotation Patterns 
Lesson 15: Alternate Interior AnglesUnit 1 
Lesson 11: Tearing It Up (Print available)
Lesson 16: Adding the Angles in a TriangleUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 17: Parallel Lines and the Angles in a TriangleUnit 1 
Lesson 10: Transforming Angles
Lesson 18: Creating a Border Pattern Using Transformations 

Unit 2: Dilations, Similarity, and Introducing Slope

Amplify MathDesmos Math 6–A1
Unit 2: Dilations and SimilarityUnit 2: Dilations and Similarity
Lesson 1: Projecting and Scaling 
Sub-Unit 1: Dilations
Lesson 2: Circular GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 3: Dilations on a Plane 
Lesson 4: Dilations on a Square GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 5: Dilations with CoordinatesUnit 2
Lesson 4: Dilations on a Plane
Sub-Unit 2: Similiarity
Lesson 6: SimilarityUnit 2
Lesson 5: Transformations Golf with Dilations
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 7: Similar PolygonsUnit 2
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 8: Similar TrianglesUnit 2
Lesson 7: Are Angles Enough?
Lesson 8: Shadows
Lesson 9: Ratios of Side Lengths in Similar Triangles
Lesson 12: Optical Illusions 

Unit 3: Linear Relationships

Amplify MathDesmos Math 6–A1
Unit 3: Proportional and Linear RelationshipsUnit 3: Proportional and Linear Relationships
Unit 4: Linear Equations and Linear Systems
Unit 5: Functions and Volume
Lesson 1: Visual Patterns 
Sub-Unit 1: Proportional Relationships 
Lesson 2: Proportional Relationships 
Lesson 3: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Water Tank 

Unit 5
Lesson 4: Window Frames
Lesson 5: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Unit 5
Lesson 4: Window Frames
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 6: Comparing Proportional RelationshipsUnit 3
Lesson 3: Posters
Sub-Unit 2: Linear Relationships
Lesson 7: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Stacking Cups

Unit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Relationships 
Lesson 9: More Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 10: Representations of Linear RelationshipsUnit 3
Lesson 5: Flags
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 11: Writing Equations for Lines Using Two Points 
Lesson 12: Translating mx + bUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 13: Slopes Don’t Have to be PositiveUnit 3
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 14: Writing Equations for Lines Using Two Points, Revisited 
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 3: Posters
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Sub-Unit 3: Linear Equations 
Lesson 16: Solutions to Linear EquationsUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 10: Solutions

 Unit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 17: More Solutions to Linear EquationsUnit 3 
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 10: Solutions
Lesson 18: Coordinating Linear Relationships 
Lesson 19: Rogue Planes 

Unit 4: Linear Equations and Linear Systems

Amplify MathDesmos Math 6–A1
Unit 4: Linear Equations and Systems of Linear EquationsUnit 4: Linear Equations and Systems of Linear Equations
Lesson 1: Number PuzzlesUnit 4
Lesson 1: Number machines
Sub-Unit 1: Linear Equations in One Variable 
Lesson 2: Writing Expressions and Equations
Lesson 3: Keeping the BalanceUnit 4
Lesson 2: Keep It Balanced
Lesson 4: Balanced Moves (Part 1)Unit 4
Lesson 3: Balanced Moves
Lesson 5: Balanced Moves (Part 2)Unit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 6: Solving Any Linear EquationsUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available)
Lesson 6: Strategic Solving (Print available)
Lesson 7: How Many Solutions? (Part 1)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 8: How Many Solutions? (Part 2)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 9: Strategic Solving 
Lesson 10: When Are They the SameUnit 4
Lesson 8: When Are They the Same?
Sub-Unit 2: Systems of Linear Equations
Lesson 11: On or Off the Line?Unit 4
Lesson 9: On or Off the Line?
Lesson 12: On Both of the LinesUnit 4
Lesson 10: On Both Lines
Lesson 13: Systems of Linear EquationsUnit 4
Lesson 11: Make Them Balance
Lesson 14: Solving Systems of Equations (Part 1)Unit 4
Lesson 14: All, Some, or None? Part 2
Lesson 15: Solving Systems of Equations (Part 2)Unit 4
Lesson 12: All, Some, or None? Part 2
Lesson 16: Writing Systems of Linear EquationsUnit 4
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 17: Pay Gaps 

Unit 5: Functions and Volume

Amplify MathDesmos Math 6–A1
Unit 5: Functions and VolumeUnit 2: Dilations, Similarity, and Introducing Slope
Unit 3:
Proportional and Linear Relationships
Unit 5:
Functions and Volume
Lesson 1: Pick a Pitch 
Sub-Unit 1: Representing and Interpreting Functions 
Lesson 2: Introduction to FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 3: Equations of FunctionsUnit 3
Lesson 4: Window Frames
Lesson 4: Graphs of Functions (Part 1)Unit 5
Lesson 3: Function or Not?
Lesson 5: Graphs of Functions (Part 2)Unit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Functions (Part 3)Unit 5
Lesson 6: Graphing Stories
Lesson 7: Connecting Representations of FunctionsUnit 5
Lesson 7: Feel the Burn (Print available)Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Functions 
Lesson 9: Modeling with Linear Functions 
Lesson 10: Piecewise Linear FunctionsUnit 5
Lesson 9: Piecing It Together
Sub-Unit 2: Cylinder, Cones, and Spheres 
Lesson 11: Filling Containers 
Lesson 12: The Volume of a CylinderUnit 5
Lesson 10: Volume LabLesson 11: Cylinders
Lesson 12: Scaling Cylinders
Lesson 13: Determining Dimensions of CylindersUnit 5
Lesson 14: Missing Dimensions (Print available)
Lesson 14: The Volume of a ConeUnit 5
Lesson 10: Volume LabLesson 13: Cones
Lesson 15: Determining Dimensions of ConesUnit 5
Lesson 12: Scaling Cylinders
Lesson 13: Cones
Lesson 14: Missing Dimensions (Print available)
Lesson 16: Estimating a Hemisphere 
Lesson 17: The Volume of a SphereUnit 5
Lesson 15: Spheres
Lesson 18: Cylinders, Cones and SpheresUnit 5
Lesson 15: Practice Day 2 (Print available)
Lesson 19: Scaling One Dimension 
Lesson 20: Scaling Two Dimensions 
Lesson 21: Packing Spheres 

Unit 6: Exponents and Scientific Notation

Amplify MathDesmos Math 6–A1
Unit 6: Exponents and Scientific NotationUnit 7: Exponents and Scienctific Notation
Lesson 1: Create a Sierpinski Triangle 
Sub-Unit 1: Exponent Rules 
Lesson 2: Reviewing ExponentsUnit 7
 Lesson 1: Circles
Lesson 2: Combining Exponents
Lesson 3: Multiplying PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 4: Dividing PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 5: Negative ExponentsUnit 7 
Lesson 5: Zero and Negative Exponents
Lesson 6: Powers of PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 7: Different Bases, Same Exponent 
Lesson 8: Practice with Rational BasesUnit 7
Practice Day 1 (Print available)
Sub-Unit 2: Scientific Notation 
Lesson 9: Representing Large Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 10: Representing Small Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 11: Applications of Arthithmetic with Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 12: Definition of Scientific NotationUnit 7
Lesson 10: Solar System
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 13: Multiplying, Dividing, and Estimating with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 14: Adding and Subtracting with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 12: City Lights
Lesson 13: Star Power
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon? 

Unit 7: Irrationals and the Pythagorean Theorem

Practice Day 2 (Print available)

Amplify MathDesmos Math 6–A1
Unit 7: Irrationals and the Pythagorean TheoremUnit 8: The Pythagorean Theorem and Irrational Numbers
Lesson 1: Sliced Bread
Sub-Unit 1: Rational and Irrational Numbers
Lesson 2: The Square RootUnit 8
Lesson 2: From Squares to Roots
Lesson 3: The Ares of Squares and Their Side LengthsUnit 8
Lesson 1: Tilted Squares
Lesson 3: Between Squares
Lesson 4: Estimating Square RootsUnit 8
Lesson 3: Between Squares
Lesson 4: Root Down
Lesson 5: The Cube RootUnit 8
Lesson 5: Filling Cubes
Lesson 6: Rational and Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 7: Decimal Representations of Rational NumbersUnit 8
Lesson 12: Fractions to Decimals
Lesson 8: Converting Repeating Decimals Into FractionsUnit 8
Lesson 13: Decimals to Fractions
Sub-Unit 2: The Pythagorean Theorem
Lesson 9: Observing the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 10: Proving the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 11: Determining Unknown Side LengthsUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 12: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make it Right
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 14: Distances on the Coordinate Plane (Part 2)Unit 8
Lesson 11: Pond Hopper
Lesson 15: Applications of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Lesson 16: Pythagorean Triples

Unit 8: Pythagorean Theorem and Irrational Numbers

Amplify MathDesmos Math 6–A1
Unit 8: Associations in DataUnit 6: Associations in Data
Lesson 1: Creating a Scatter PlotUnit 6
Lesson 1: Click Battle
Sub-Unit 1: Associations in Data
Lesson 2: Interpreting Points on a Scatter PlotUnit 6
Lesson 3: Robots
Lesson 3: Observing Patterns in a Scatter PlotUnit 6
Lesson 7: Scatter Plot City
Lesson 4: Fitting a Line to DataUnit 6
Lesson 4: Dapper Cats
Lesson 5: Fit Fights
Lesson 5: Using a Linear ModelUnit 6
Lesson 6: Interpreting Slopes
Lesson 6: Interpreting Slope and y-interceptUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Analyzing Bivariate DataUnit 6
Lesson 8: Animal Brains
Lesson 8: Looking for AssociationsUnit 6
Lesson 9: Tasty Fruit
Lesson 9: Using Data Displays to Find AssociationsUnit 6
Lesson 10: Finding Associations
Lesson 11: Federal Budgets

Grade 6

Unit 1: Numbers

GO Math!Amplify Classroom
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

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
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 6.2: Rates Unit 3
Lesson 6: Soft Serve
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Unit 3
Lesson 6: Soft Serve
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 9: Lucky Duckies

Unit 4: Equivalent Expressions

Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Unit 5: Equations and Inequalities

Module 11:  Equations and Relationships
Lesson 11.1:  Writing Equations to Represent Situations
Lesson 11.2:  Addition and Subtraction Equations
Lesson 11.3:  Multiplication and Division Equations
Unit 6
Lesson 1:  Weight For It
Lesson 11.4: Writing InequalitiesUnit 7
Lesson 7:  Tunnel Travels
Module 12:  Relationships in Two Variables
Lesson 12.2:  Independent and Dependent Variables in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.3:  Writing Equations from Tables.Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.4:  Representing Algebraic Relationships in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Relationships in Geometry

GO Math!Amplify Classroom
Module 13: Area and Polygons
Lesson 13.1: Area of QuadrilateralsUnit 1
Lesson 1: Shapes on a Plane
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 13.2: Area of TrianglesUnit 1
Lesson 1: Shapes on a Plane
Lesson 13.4: Area of PolygonsUnit 1
Lesson 1: Shapes on a Plane
Module 14:  Distance and Area in the Coordinate Plane
Lesson 14.1: Distance in the Coordinate Plane
Lesson 14.2: Polygons in the Coordinate Plane
Unit 1
Lesson 1: Shapes on a Plane

Unit 7: Measurement and Data

Module 16: Displaying, Analyzing, and
Summarizing Data
Lesson 16.1: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 16.4: Dot Plots and Data DistributionUnit 8
Lesson 3: Minimum Wage
Lesson 16.5: HistogramsUnit 8
Lesson 5: The Plot Thickens

Grade 7

Unit 1: The Number System

GO Math!Amplify Classroom
Module 1:  Adding and Subtracting Integers
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 10: Integer Puzzles
Lesson 2.2: Dividing IntegersUnit 5
Lesson 10: Integer Puzzles
Module 3:  Rational Numbers
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 6: Two and Two
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Lesson 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics
Lesson 5: Percent Machines
Lesson 5.3: Applications of PercentUnit 4
Lesson 12: Posing Percent Problems(coming soon!)

Unit 3: Expressions, Equations, and Inequalities

Module 6: Expressions and Equations
Lesson 6.3: Writing Two-Step EquationsUnit 6
Lesson 10: Collect the Squares
Module 6: Expressions and Equations
Lesson 7.2: Writing Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 7.3: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Unit 7
Lesson 5: Can You Build It?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 7: Will It Fit?
Lesson 8.4: Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 9.2: Area of CirclesUnit 3
Lesson 8: Area Challenges
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 8: Area Challenges

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Module 11: Analyzing and Comparing Data
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Probability

Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Amplify Classroom
Module 1: Real Numbers
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

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
Lesson 3.2: Rate of Change and SlopeUnit 3
Lesson 4: Flags
Lesson 5: The Tortoise and the Hare
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Flags
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 4: Flags
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Flags
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 4: Flags
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 5: The Tortoise and the Hare
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing
Lesson 5: The Tortoise and the Hare

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 5: Equation Roundtable
Lesson 7.2: Equations with Rational Numbers
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 5: Equation Roundtable
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Transformational Geometry

Module 9:  Transformations and Congruence
Lesson 9.1: Properties of Translations
Lesson 9.2: Properties of Reflections
Lesson 9.3:  Properties of Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Module 10: Transformations and Similarity
Lesson 10.1: Properties of DilationsUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Social Scavenger Hunt
Lesson 10.3: Similar FiguresUnit 2
Lesson 1: Sketchy Dilations
Lesson 6: Social Scavenger Hunt

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 12: Puzzling It Out
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 13.2: Volume of ConesUnit 5
Lesson 13: Cones

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 3: Robots
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 15: Two-Way Tables
Lesson 15.2: Two-Way Relative Frequency TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

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

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.2: Solving Multi-Step EquationsWorking Backwards
Lesson 1.4: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.6: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.1: Writing and Graphing InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Characteristics of FunctionsCraft-a-Graph
Lesson 3.5: Graphing Linear Equations in Standard FormShelley the Snail
Five Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Residual Fruit
Penguin Populations
Lesson 4.5: Analyzing Lines of FitBehind the Headlines
City Data
Lesson 4.6: Arithmetic SequencesSequence Carnival
More Visual Patterns
Lesson 4.7: Piecewise Defined FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.1: Solve Systems of Linear Equations by GraphingLizard Lines
Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.6: Graphing Linear Inequalities in Two VariablesQuilts
Lesson 5.7: Systems of Linear InequalitiesSeeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6 Geometric SequencesSequence Carnival
More Visual Patterns

Chapter 6 Performance Task

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Graphing f(x)=Ax^2Revisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8.2: Graphing f(x)=Ax^2+CPlenty of Parabolas
Lesson 8.3: Graphing f(x)=Ax^2+Bx+CStomp Rockets
Lesson 8.4: Graphing f(x)=A(x-h)^2+kRobot Launch
Lesson 8.5: Using Intercept FormTwo for One
Parabola Zapper
Shooting Stars
Lesson 8.6: Comparing Linear, Exponential, and Quadratic FunctionsPlane, Train, and Automobile
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Chapter 11: Data Analysis and DisplaysFinding 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.

Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

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

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

Lesson 3: Sort by Same ColorMatching Groups

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

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

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

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

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

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

Module 3: Comparison

Topic C: Compare Sets Within 10

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

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

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

Topic B: Record Composition and Decomposition

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

Module 5: Addition and Subtraction

Topic A: Represent Addition

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

Topic B: Represent Subtraction

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

Topic C: Make Sense of Problems

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

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

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

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

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

Topic B: Relate and Distinguish Addition and Subtraction

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

Topic C: Find an Unknown Part in Change Unknown Problems

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

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

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

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

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

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

Topic A: Grouping Units in Tens and Ones

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

Topic D: Addition and Subtraction of Tens

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

Level 2

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

Topic A: Representing Data to Solve Problems

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

Topic C: Estimate, Measure, and Compare Lengths

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

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

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

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

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

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

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

Topic B: Use Customary Units to Measure and Estimate Length

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

Topic C: Use Measurement and Data to Solve Problems

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

Level 3

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

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

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

Topic D: Two Interpretations of Division

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

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

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

Topic C: Simplifying Strategies to Find Sums and Differences

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

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

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

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

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

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

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

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

Topic B: Concepts of Area Measurement

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

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

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

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

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

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

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

Module 4: Foundations for Fraction Operations

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

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

Topic D: Add and Subtract Fractions

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

Topic F: Repeated Addition of Fractions as Multiplication

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

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

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

Topic B: Tenths and Hundredths

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

Topic C: Comparison of Decimal Numbers

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

Level 5

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

Topic B: Multiplication of Whole Numbers

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

Topic C: Division of Whole Numbers

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

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

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

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

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

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

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

Topic D: Volume and the Operations of Multiplication and Addition

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

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

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

Topic D: Rates

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

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

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

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

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

Topic F: Decimal Division

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

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

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

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

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

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

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

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

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

Topic B: Problem Solving with Area

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

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

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

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

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

Topic C: Scale Drawing and Proportional Relationships

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

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

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

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

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

Module 4: Geometry

Topic A: Constructing Geometric Figures

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

Topic C: Circumference and Areas of Circles

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

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

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

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

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

Topic E: Problems Involving Percent

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

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

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

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

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

Topic B: Properties and Definitions of Exponents

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

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

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

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

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

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

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

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

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

Topic E: Different Forms of a Linear Equation

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

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

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

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

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

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

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

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

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

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

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

Module 2: Equations and Inequalities in Two Variables

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

Module 3: Functions and Their Representations

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

Module 4: Quadratic Functions

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

Module 5: Linear and Exponential Functions

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

Module 6: Modeling with Functions

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

Grade 6

Chapter 1: Numerical Expressions and Factors

Big IdeasDesmos Math 6–A1
Lesson 1: Powers and ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Practice Day 2 (Print available)
Lesson 2: Order of OperationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 3: Prime Factorization
Lesson 4: Greatest Common FactorUnit 5
Lesson 15: Common factors
Lesson 5: Least Common MultipleUnit 5
Lesson 14: Common Multiples
Practice Day 2 (Print available)

Chapter 2: Fractions and Decimals

Lesson 1: Multiplying FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 2: Dividing 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 3: Dividing Mixed NumbersUnit 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
Lesson 4: 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: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams 
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)
Practice Day 2 (Print available)
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12: Budget Vehicles (Print available)
Lesson 7: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12:(Print available) Budget Vehicles 
Practice Day 1 (Print available)
Practice Day 2 (Print available)

Chapter 3: Ratios and Rates

Chapter 4: Percents

Chapter 5: Algebraic Expressions and Properties

Chapter 6: Equations

Chapter 7: Area, Surface Area, and Volume

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Chapter 9: Statistical Measures

Chapter 10: Data Displays

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying 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 2: Dividing IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 3: Converting Between Fractions and DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 4: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 5: Dividing Rational NumbersUnit 5
Lesson 8: Speeding Turtles

Chapter 3: Expressions

Chapter 4: Equations and Inequalities

Chapter 5: Ratios and Proportions

Chapter 6: Percents

Chapter 7: Probability

Chapter 8: Statistics

Chapter 9: Geometric Shapes and Angles

Chapter 10: Surface Area and Volume

Lesson 1: Surface Area of Prisms
Lesson 2: Surface Area of Cylinders
Lesson 3: Surface Area of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 4: Volumes of Prisms
Lesson 5: Volumes of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2 (Print available)
Lesson 6: Cross Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids

Grade 8

Chapter 1: Equations

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Chapter 4: Graphing and Writing Linear Equations

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 8: When Are They the Same?
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]
Practice Day 2 (Print available)
Lesson 2: Solving Systems of Linear Equations by Substitution
Lesson 3: Solving Systems of Linear Equations by Elimination 
Lesson 4: Solving Special Systems of Linear Equations 
Lesson 6: Scale Drawings

Chapter 6: Data Analysis and Displays

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Linear FunctionsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 4: Comparing Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 5: Analyzing and Sketching GraphsUnit 5  
Lesson 6: Graphing Stories

Chapter 8: Exponents and Scientific Notation

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 2: The Pythagorean Theorem
Lesson 3: Finding Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 4: Rational Numbers 
Lesson 5: Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 6: The Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right

Chapter 10: Volume and Similar Solids

Grade 6

Unit 1: Area and Surface Area

Lesson 2: Finding Area by Decomposing and RearrangingShapes on a Plane
Lesson 3: Reasoning to Find AreaLetters
Lesson 4: ParallelogramsExploring Parallelograms, Part 2
Lesson 5: Bases and Heights of ParallelogramsExploring Parallelograms, Part 1
Lesson 6: Areas of ParallelogramsOff the Grid, Part 1
Lesson 7: From Parallelograms to TrianglesTriangles and Parallelograms
Lesson 8: Areas of TrianlgeExploring Triangles
Lesson 10: Bases and Heights of TrianglesOff the Grid, Part 2
Lesson 11: PolygonsPile of Polygons
Lesson 15: More Nets, More Surface AreaRenata’s Stickers

Unit 2: Introducing Rations

Lesson 3: RecipesPizza Maker
Lesson 5: Defining Equivalent RatiosFruit Lab
Lesson 12: Navagating a Table of Equivalent RationsDisaster Preparation

Unit 3: Unit Rates and Percentages

Lesson 1: Anchoring Units of MeasureMany Measurements
Lesson 4: Comparing Speeds and PriceWorld Records
Lesson 5: Interpreting RatesSoft Serve
Lesson 6: Equivalent Ratios Have the Same Unit RatesWelcome to the Robot Factory
Lesson 8: Solving Rate ProblemsMore Soft Serve
Lesson 9: More about Constant SpeedModel Trains
Lesson 11: Representing Percentages with Double Number Line DiagramsLucky Duckies

Unit 4: Dividing Fractions

Lesson 4: How Many Groups? (Part 1)Flour Planner
Lesson 6: Using Diagrams to Find the Number of GroupsFill the Gap
Lesson 13: Rectangles with Fractional Side LengthsPuzzling Areas

Unit 5: Arithmetic in Base 10

Lesson 1: Using Decimals in Shopping ContextDishing Out Decimals

Unit 5: Arithmetic in Base 11

Lesson 2: Using Diagrams to Represent Addition and SubtractionDecimal Diagrams and Algorithms

Unit 5: Arithmetic in Base 12

Lesson 15: Making and Measuring BoxesMovie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and EquationsFive Equations
Weight for It
Lesson 3: Staying in BalanceHanging Around
Lesson 4: Practice Solving EquationsHanging It Up
Lesson 5: Represent Situations with EquationsSwap and Solve
Lesson 9: The Distributive Property: Part 1Products and Sums
Lesson 17: Two Related Quantaties, Part 2Subway Fares

Unit 7: Rational Numbers

Lesson 3: Comparing Positive and Negative NumbersOrder in the Class
Lesson 5: Using Negative Numbers to Make Sense in ContextMinimum Wage
Lesson 8: Writing and Graphing InequalitiesTunnel Travels

Unit 8: Data Sets and Distributions

Lesson 5: Using Dot Plots to Answer Statistical QuestionsMinimum Wage
Lesson 6: Interpreting HistogramsThe Plot Thickens
Lesson 11: Variability and MADHoops
Lesson 13: MedianToy Cars

Grade 7

Unit 1: Scale Drawing

Lesson 1: What are scaled copies?Scaling Machines
Lesson 2: Correspond Parts and Scale FactorsMake it Scale
Lesson 3: Making Scaled CopiesScaling Robots
Lesson 5: The Size of the Scale FactorScale Factor Challenges
Lesson 6: Scaling AreaTiles
Lesson 6: Scaling AreaWill It Fit

Unit 2: Introducing Proportional Relationships

Lesson 1: One of These Things is Not Like the OtherPaint
Lesson 5: Two Equations for Each RelationshipTwo and Two
Lesson 10: Introducing Graphs of Proportional RelationshipsDinoPops

Unit 3: Measuring Circles

Lesson 2: Exploring CirclesMeasuring Around
Lesson 7: Exploring the Area of a CircleWhy Pi?
Lesson 9: Applying Area of a CircleArea Challenges

Unit 4: Proportional Relationships and Percentages

Lesson 6: Increasing and DecreasingMosaics
100%
Lesson 7: One Hundred PercentMore and Less
Back in My Day
Lesson 8: Percent Increase and Decrease with EquationsAll the Equations
Lesson 11: Percentage ContextsPercent Machines

Unit 5: Rational Number Arithmetic

Lesson 3: Changing ElevationFloats and Anchors
Lesson 5: Representing SubtractionMore Floats and Anchors
Lesson 6: Finding DifferencesDraw Your Own
Lesson 13: Expressions with Rational NumbersInteger Puzzles

Unit 6: Expressions, Equations, and Inequalities

Lesson 9: Dealing with Negative NumbersKeeping it True
Lesson 13: Reintroducing InequalitiesI Saw the Signs
Lesson 14: Finding Solutions to Inequalities in ContextUnbalanced Hangers
Lesson 15: Efficiently Solving InequalitiesShira the Sheep
Lesson 16: Interpreting InequalitiesBudgeting
Lesson 17: Modeling with InequalitiesWrite Them and Solve Them
Lesson 20: Combining Like Terms (Part 1)Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent AnglesFriendly Angles
Lesson 5: Using Equations to Solve For Unknown AnglesMissing Measures
Lesson 7: Building Polygons (Part 2)Can You Build It

Unit 8: Probability and Sampling

Lesson 1: Mystery BagsHow Likely
Lesson 3: What are Probabilities?Prob-bear-bilities
Lesson 4: Estimating Probabilities through Repeated ExperimentsIs It Fair?
Lesson 13: What Make a Good Sample?Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Lesson 1: Moving the PlaneTransformers
Lesson 2: Naming the MovesSpinning, Flipping, Sliding
Lesson 3: Grid MovesMoving Day
Lesson 4: Making MovesTransformation Golf
Lesson 5: Coordinate MovesGetting Coordinated, Part 1
Lesson 6: Describing TransformationsGetting Coordinated, Part 2
Lesson 16: Parallel Lines and Angles in a TrianglePuzzling It Out
Lesson 17: Rotate and TesselateTessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Lesson 1: Projecting and ScalingSketchy Dilations
Lesson 3: Dilations with No GridDilation Mini Golf
Lesson 7: Similar PolygonsSocial Scavenger Hunt

Unit 3: Linear Relationships

Lesson 1: Understanding Proportional RelationshipsTurtle Time Trials
Lesson 5: Introductions to Linear RelationshipsFlags
Lesson 6: More Linear RelationshipsStacking Cups (Optional)
Lesson 8: Translating y=mx+bTranslations
Lesson 9: Slopes Don’t Have to Be PositiveWater Cooler
Lesson 10: Calculating SlopeUps and Downs

Unit 4: Linear Equations and Systems

Lesson 5: Solve Any Linear EquationEquation Roundtable
Lesson 12: Systems of EquationsMake Them Balance
Lesson 13: Solving Systems of EquationsLine Zapper

Unit 5: Functions and Volume

Lesson 1: Inputs and OutputsGuess My Rule
Lesson 5: More graphs of FunctionsTurtle Crossing
Lesson 6: Even More Graphs of FunctionsThe Tortoise and the Hare
Lesson 13: The Volume of a CylinderCylinders
Lesson 15: The Volume of a ConeCones

Unit 6: Associations and Data

Lesson 3: What a Point on a Scatter Plot MeansRobots
Lesson 4: Fitting a Line to DataDapper Cats
Lesson 5: Describing Trends in Scatter PlotsInterpreting Scatter Plots
Lesson 6: Slope of a Fitted LineFind the FIt (called Fit Fights in Desmos Math)
Lesson 7: Observing More Patterns in Scatter PlotsScatter Plot City
Lesson 8: Analyzing Bivariate DataInterpreting Slopes
Lesson 9: Looking for AssociationAnimal Brains
Lesson 10: Using Data Displays to Find AssociationFinding Associations

Unit 7: Exponents and Scientific Notation

Lesson 1: Exponent ReviewCircles
Lesson 6: What about Other Bases?Power Pairs
Lesson 12: Applicatios of Arithmetic with Powers of 10Balance the Scale
Lesson 13: Definition of Scientific NotationSpecific and Scientific (formerly Solar System)

Unit 8: Pythagorean Theorem and Irrational Numbers

Lesson 5: Square Roots on the Number LineRoot Down
Lesson 7: Finding Side Lengths of TrianglesTriangle Tracing Turtle
Lesson 11: Applications of the Pythagorean TheoremTaco Truck

Algebra 1

Intro/Launch

Unit 1: One Variable Statistics

Lesson 12: Standard DeviationFinding Desmo

Unit 2: Linear Equations and Systems

Lesson 4: Equations and Their SolutionsWorking Backwards
Solving Strategies
Same Position
Lesson 5: Equations and Their GraphsShelley the Snail
Five Representations
Lesson 6: Equivalent EquationsSubway Seats
Lesson 7: Explaining Steps for Rewriting EquationsVarious Variables
Lesson 12: Writing and Graphing Systems of Linear EquationsLizard Lines
Lesson 13: Solving Systems by SubstitutionShape It Up

Unit 3: Two Variable Statistics

Lesson 5: Fitting LinesCity Slopes
Penguin Populations
Lesson 6: ResidualsResidual Fruit
Lesson 7: Correlation CoefficientCorrelation Coefficient
City Data
Lesson 8: Using the Correlation CoefficientHow Hot Is It?
Lesson 9: Causal RelationshipsBehind the Headlines

Unit 4: Linear Inequalities and Systems

Lessons 4-6: Graphing Linear Inequalities in Two VariablesPizza Delivery
Lesson 7: Solutions to Systems of Linear Inequalities in Two VariablesQuilts
Seeking Solutions
Lesson 8: Solving Problems with Systems of Linear Inequalities in Two VariablesCarlos’s Fish

Unit 5: Functions

Lesson 1: Describing and Graphing SituationsCraft-a-Graph
Lesson 7: Using Graphs to Find Average Rate of ChangePlane, Train, and Automobile
Lesson 12: Piecewise FunctionsPumpkin Prices
Lesson 15: Inverse FunctionsChip the Robot

Unit 6: Introduction to Exponential Functions

Unit 7: Introduction to Quadratic Functions

Lesson 1: A Different Kind of ChangeRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
Lesson 10: Graphs of Quadratic Functions in Standard and Factored FormsOn the Fence
Stomp Rockets
Plenty of Parabolas
Two for One
Lesson 11: Graphing Quadratics from the Factored FormParabola Zapper
Shooting Stars
Lesson 14: Quadratic Graphs that Represent SituationsRobot Launch

Unit 8: Quadratic Equations

Lesson 2: When and Why Do We Write Quadratic Equations?Sorting Relationships
Lesson 12-14: Completing the SquareSquare Tactic
Lesson 24: Using Quadratic Equations to Model Situation and Solve ProblemsStomp Rockets in Space

Disclaimer

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

Families and caregivers, welcome to Amplify Desmos Math California
6–12!

Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Ilustración de una persona en silla de ruedas con un casco que dirige la colocación de una pieza triangular, rodeada de símbolos matemáticos.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

  • Coming soon!
  • Coming soon!

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
  • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

Unit 6

  • Sub-Unit 1 – Drawing Perpendicular Bisectors
  • Sub-Unit 2 – Determining Coordinates After a Rotation
  • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

Unit 7

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Access Amplify Desmos Math California at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math California? Visit our Help Library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

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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

Illustrative Mathematics-NEW

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Big Ideas

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasDesmos Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasDesmos Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasDesmos Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

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

Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsAmplify Classroom
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 10: Renata’s Stickers

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2
Lesson 4: Fruit Lab
Lesson 5: Defining Equivalent RatiosUnit 2
Lesson 1: Pizza Maker
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2
Lesson 10: Disaster Preparation

Unit 3: Rates and Percentages

Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 3
Lesson 6: Soft Serve
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 6: Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 9: Lucky Duckies
Lesson 13: Benchmark percentagesUnit 3
Lesson 9: Lucky Duckies
Topic 5: Let’s Put It to Work 
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 6: Soft Serve

Unit 4: Dividing Fractions

Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4
Lesson 3: Flour Planner 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 6: Fill the Gap

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5
Lesson 1: Dishing Out Decimals
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5
Lesson 13: Movie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6
Lesson 1: Weight for It
Lesson 3: Staying in BalanceUnit 6
Lesson 1: Weight for It
Topic 2: Equal and Equivalent
Lesson 8: Equal and EquivalentUnit 6
Lesson 1: Weight for It
Topic 9: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 7: Rational Numbers

Lesson 1: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7
Lesson 4: Order in the Class
Topic 2: Inequalities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7
Lesson 7: Tunnel Travels
Topic 3: The Coordinate Plane
Lesson 15: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane

Unit 8: Data Sets and Distributions

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 8
Lesson 3: Minimum Wage
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8
Lesson 5: The Plot Thickens
Topic 4: Median and IQR
Lesson 13: MedianUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsAmplify Classroom
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 7: Will It Fit?

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2
Lesson 1: Paint 
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2
Lesson 6: Two and Two
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2
Lesson 6: Two and Two
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 8: Comparing Relationships with EquationsUnit 2
Lesson 6: Two and Two
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 2
Lesson 8: Dino Pops

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3
Lesson 8: Toothpicks (coming soon!)
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3
Lesson 3: Measuring Around
Take Away (coming soon!)
Topic 2: Area of a Circle
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3
Lesson 9: Area Challenges
Take Away (coming soon!)

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 4
Lesson 1: Mosaics
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4
Lesson 12: Posing Percent Problems (coming soon!)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4
Lesson 12: Posing Percent Problems (coming soon!)

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5
Lesson 4: Draw Your Own
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r 
Lesson 1: Relationships Between QuantitiesUnit 2
Lesson 1: Paint
Unit 4
Lesson 1: Mosaics
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6
Lesson 10: Collect the Squares
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6
Lesson 10: Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7
Lesson 2: Friendly Angles
Lesson 4: Solving for Unknown AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 4: Missing Measures
Topic 2: Drawing Polygons with Given Conditions 
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7
Lesson 5: Can You Build It?

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?
Lesson 2: Prob-bear-bilities
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 8
Lesson 10: Crab Island
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 
Lesson 10: Crab Island
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8
Lesson 10: Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsAmplify Classroom
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 2: Naming the MovesUnit 1
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Grid MovesUnit 1
Lesson 4: Moving Day
Lesson 4: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 5: Coordinate MovesUnit 1
Lesson 4: Moving Day
Lesson 6: Describing TransformationsUnit 1
Lesson 6: Connecting the Dots (coming soon!)
Topic 2: Properties of Rigid Transformations 
Lesson 8: Rotation PatternsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Topic 3: Slope
Lesson 10: Meet SlopeUnit 3
Lesson 4: Flags

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 3: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 7: Representations of Linear RelationshipsUnit 3
Lesson 4: Flags
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3
Lesson 4: Flags
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 4: Flags
Topic 4: Linear Equations 
Lesson 13: More Solutions to Linear EquationsUnit 3 
Lesson 4: Flags

Unit 4: Linear Equations and Linear Systems

Topic 2: Linear Equation in One Variable 
Lesson 5: Solving Any Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Strategic SolvingUnit 4
Lesson 5: Equation Roundtable
Topic 3: Systems of Linear Equations
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Introduction to FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5
Lesson 5: The Tortoise and the Hare
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 3
Lesson 4: Flags
Lesson 9: Linear ModelsUnit 5
Lesson 5: The Tortoise and the Hare
Topic 4: Cylinder and Cones 
Lesson 13: The Volume of a CylinderUnit 5
Lesson 11: Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5
Lesson 11: Cylinders
Lesson 15: The Volume of a ConeUnit 5
Lesson 13: Cones
Lesson 16: Finding Cone DimensionsUnit 5
Lesson 13: Cones

Unit 6: Associations in Data

Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 
Lesson 3: Robots
Lesson 4: Fitting a LineUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Describing Trends in Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 
Lesson 3: Robots
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6
Lesson 11: Finding Associations
Lesson 10: Using Data Displays to Find associationsUnit 6
Lesson 11: Finding Associations

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 
Lesson 1: Circles
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
Topic 3: Scientific Notation 
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 5: Reasoning about Square RootsUnit 8
Lesson 4: Root Down
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8
Lesson 10: Taco Truck

Disclaimer

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

Families and caregivers, welcome to Amplify Desmos Math 6–12!

Welcome to the Amplify Desmos Math Grade 6–Algebra 2 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey. 

In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Person wearing a construction hat and safety vest in a wheelchair, discussing with a phone and controlling the placement of a large triangular piece in a construction setting, with math symbols around.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources are available in both English and Spanish, as well as a glossary of key terms in both languages.

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios

Unit 3: Rates and Percentages

Unit 4: Dividing Fractions

Unit 5: Decimal Arithmetic

Unit 6: Expressions and Equations

Unit 7: Positive and Negative Numbers

Unit 8: Describing Data

Unit 1: Scale Drawings

Unit 2: Introducing Proportional Relationships

Unit 3: Measuring Circles

Unit 4: Proportional Relationships and Percentages

Unit 5: Operations With Positive and Negative Numbers

Unit 6: Expressions, Equations, and Inequalities

Unit 7: Angles, Triangles, and Prisms

Unit 8: Probability and Sampling

Unit 1: Rigid Transformations and Congruence

Unit 2: Dilations, Similarity, and Slope

Unit 3: Proportional and Linear Relationships

Unit 4: Linear Equations and Linear Systems

Unit 5: Functions and Volume

Unit 6: Associations in Data

Unit 7: Exponents and Scientific Notation

Unit 8: The Pythagorean Theorem and Irrational Numbers

Unit 1: Area and Surface Area

Unit 2: Introducing Ratios and Rates

Unit 3: Fractions and Decimals

Unit 4: Expressions and Equations

Unit 5: Proportional Relationships

Unit 6: Percentages

Unit 7: Positive and Negative Numbers

Unit 8: Data Sets and Distributions

Course Glossary

Unit 1: Rigid Transformations and Congruence

Unit 2: Scale Drawings, Dilations, and Similarity

Unit 3: Equations and Inequalities

Unit 4: Linear Relationships and Systems of Linear Equations

Unit 5: Functions

Unit 6: Associations in Data

Unit 7: Volume and Surface Area

Unit 8: Exponents and Scientific Notation

Unit 9: Pythagorean Theorem and Irrational Numbers

Course Glossary

Unit 1: Patterns and Sequences

Unit 2: Linear Equations and Inequalities

Unit 3: Describing Data

Unit 4: Describing Functions

Unit 5: Systems of Linear Equations and Inequalities

Unit 6: Exponential Functions

Unit 7: Quadratic Functions

Unit 8: Quadratic Equations

Unit refresh videos

Unit 1

  • Sub-Unit 1a – Calculating the Area of Parallelograms
  • Sub-Unit 1b – Calculating the Area of Triangles
  • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

Unit 2

Unit 3

Unit 4

  • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
  • Sub-Unit 2 – Dividing Fractions Using Common Denominators
  • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Decimals
  • Sub-Unit 2 – Multiplying Decimals Using Area Models
  • Sub-Unit 3 – Dividing Decimals Using Fractions
  • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

Unit 6

  • Sub-Unit 1 – Writing and Solving Equations
  • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
  • Sub-Unit 3 – Evaluating Expressions With Exponents
  • Sub-Unit 4 – Interpreting Graphs

Unit 7

  • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
  • Sub-Unit 2 – Identifying Solutions to Inequalities
  • Sub-Unit 3 – Plotting Points on the Coordinate Plane

Unit 8

  • Sub-Unit 1 – Creating Dot Plots
  • Sub-Unit 2 – Calculating Mean Absolute Deviation
  • Sub-Unit 3 – Interpreting Box Plots
  • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
  • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

Unit 1

  • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
  • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

Unit 2

  • Sub-Unit 1 – Determining the Constant of Proportionality
  • Sub-Unit 2 – Writing Equations for Proportional Relationships
  • Sub-Unit 3 – Comparing Proportional Relationships
  • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

Unit 3

  • Sub-Unit 1 – Determining the Circumference of a Circle
  • Sub-Unit 2 – Calculating Areas of Complex Shapes

Unit 4

Unit 5

  • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
  • Sub-Unit 2 – Dividing Integers
  • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

Unit 6

  • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
  • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
  • Sub-Unit 3 – Solving Inequalities

Unit 7

  • Sub-Unit 1 – Determining Unknown Angle Measures
  • Sub-Unit 2 – Determining If Three Segments Form a Triangle
  • Sub-Unit 3 – Calculating the Surface Area of Prisms

Unit 8

  • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
  • Sub-Unit 2 – Predicting Population Using Sample Data

Unit 1

  • Sub-Unit 1 – Determining Coordinates After a Rotation
  • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
  • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

Unit 2

  • Sub-Unit 1 – Performing Dilations on a Square Grid
  • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
  • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

Unit 3

  • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
  • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
  • Sub-Unit 3 – Calculating Slope Given Two Points

Unit 4

  • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
  • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

Unit 5

  • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
  • Sub-Unit 2 – Comparing Properties of Linear Functions
  • Sub-Unit 3 – Calculating Volumes of Cylinders

Unit 6

  • Sub-Unit 1 – Interpreting Points on a Scatter Plot
  • Sub-Unit 2 – Using Lines of Fit to Make Predictions
  • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

Unit 7

Unit 8

  • Sub-Unit 1 – Approximating Square Roots
  • Sub-Unit 2 – Calculating Unknown Side Lengths
  • Sub-Unit 3 – Identifying Rational and Irrational Numbers

Unit 1

  • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
  • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

Unit 2

  • Sub-Unit 1 – Solving Linear Equations
  • Sub-Unit 2 – Solving Multi-Variable Linear Equations
  • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

Unit 3

  • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
  • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
  • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

Unit 4

  • Sub-Unit 1 – Evaluating Function Notation
  • Sub-Unit 2 – Writing Domain and Range with Inequalities
  • Sub-Unit 3 – Graphing Piecewise-Defined Functions
  • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

Unit 5

  • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
  • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

Unit 6

  • Sub-Unit 1 – Writing Exponential Functions from Graphs
  • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
  • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
  • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

Unit 7

  • Sub-Unit 1 – Describing Key Features of Parabolas
  • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
  • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

Unit 8

  • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
  • Sub-Unit 2 – Solving Quadratic Equations by Graphing
  • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
  • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

Access Amplify Desmos Math at home.

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter the username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, you and your student can view work by opening previous assignments.

Learn how to navigate the student home page.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure they’re right.

We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

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Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

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.

Welcome Reviewers, to Amplify Desmos Math!

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Scroll to learn more about the program and explore sample materials.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A digital interface displays a math screener report on the left and a math problem involving division, alongside a visual representation of students lined up on the right, integrating rich math resources from Amplify Desmos Math.

Screening and progress monitoring

mCLASS® Assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Core instruction

Amplify Desmos Math lessons provide a structured approach to problem-based learning, helping teachers create a collaborative math community with students at its center. Each lesson systematically builds on students’ curiosity to develop lasting grade-level understandings for all students.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

Differentiation and intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to daily instruction. Extensions are also available to stretch students’ understanding.
Boost™ Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback™ adjusts to students’ work, providing item-level adaptivity to further support their learning.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how to respond.
  • Clear learning objectives to keep learning on track for each activity and lesson.
  • Daily reinforcement activities to provide direct instruction when needed.

A structured approach to problem-based learning

Problem-based learning asks students to make sense of and think strategically about mathematically interesting problems. This approach allows students’ ideas to take
center stage, so they are active and engaged in their learning process. Teachers are able to hear and respond to student thinking in real time, guiding and differentiating instruction right in the moment.

Moving from “I do, We do, You do” to “You do, We do, I do”
Lessons begin by activating student’s prior knowledge and curiosity, inviting them to explore the math, collaborate, and refine their thinking. By focusing on developing student thinking first, teachers can better connect ideas, guide learning, and synthesize learning objectives.

Lessons that are rigorous and delightful

Every lesson in Amplify Desmos Math is designed to put students at the center of their learning. Utilizing research-based best practices, students engage in meaningful work based on rich problems and real-world experiences.

Two young girls build with colorful blocks at a table while an adult woman observes and assists them in a classroom setting.

Warm-Up

Lessons begin by inviting every student to contribute to the mathematical discussion. Instructional routines are often used to build fluency, set the context, activate prior knowledge, or highlight a strategy that may be helpful in the lesson. 

Rich learning activities

Math knowledge is built through experiences and meaningful interactions. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Teachers serve as a guide, using a Launch, Monitor, Connect framework:

  • Launch: Teachers offer a short introduction to the problem or challenge
  • Monitor: As students work individually, in pairs, or in groups, teachers ask questions and provide support to move student thinking closer to the intended math goal.
  • Connect: Teachers connect student ideas to the Key Takeaway of the activity to help students synthesize and solidify the big ideas.

Synthesis

Teachers ensure that students end the lesson with accurate and enduring understandings of the math goal through synthesis of student ideas, explicit instruction, and reflection.

A short Show What You Know assessment allows students to show what they know about the learning goals of the lesson and reveal what they are still learning.

Differentiation and practice

Lasting understanding requires reinforcement. Every lesson offers Lesson Practice instructional recommendations to Support, Strengthen, and Stretch learning.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Print for every lesson with engaging digital experiences

Whether in print or digital form, engaging interactions enable students and teachers to openly exchange ideas. Each lesson includes student print materials, interactive teacher Presentation Screens, and digital resources for practice and differentiation. Some lessons also use manipulatives or provide options for students to use devices individually or in pairs. Device recommendations for student use are age-appropriate, with more frequent usage in middle and high school.

Demo access

Please login to the digital platform to experience our full program as part of your review. In order to access the digital platform, you’ll need to log into using your unique login credentials below.

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password:
    • Username:
    • Password:
  • View the video for helpful platform navigation tips.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

A teacher sits at a table with two students, using small objects and a workbook to provide individualized instruction during a Boost Math lesson in a classroom with large windows.
A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

In-lesson differentiation

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
Two pages from a math workbook on determining coordinates after a rotation, with diagrams, problem sets, and instructional text, displayed on a yellow and gray background.
A classroom teaching guide displays strategies for discussing pre-image and image in math, goals for a parallelogram lesson, and tips for supporting multilingual learners.

Multilingual/English Learner supports

Supports for multilingual/English learners (ML/ELs) are called out at intentiSupports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.onal points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.

Math Language Development

Every lesson in Amplify Desmos Math includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson.
Two girls sit at a table with open books, one making hand gestures while smiling, the other looking at her and giving a thumbs up. Behind them are shelves filled with books, capturing the lively atmosphere of a math classroom.
Digital educational material showing an activity named "Hamster Homes" involving tube length and platform heights for a hamster cage. Includes a diagram with platforms measuring 9 inches.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples.

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A digital activity screen, crafted in the style of Amplify Desmos Math, shows two paths with different quantities of mushrooms. The user is prompted to choose the path with more mushrooms. A bear is on the left side of the screen.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.

Skills Unit 2 Teacher Guide

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational game screen, inspired by New York math standards, shows a subtraction problem, "4 - 1," with a frog moving along numbered lily pads to reveal the answer "3.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational activity where users must select the block with the correct number to make a total of 10 using the given block numbers. The UI, inspired by New York math standards, features a caterpillar and two tree stumps to amplify engagement with Desmos Math tools.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A page titled "Activity 2" features a table showing counts of rabbits, raccoons, and foxes, an image of animal stickers, and a bar graph representing the number of each animal, designed to amplify your New York math lesson with engaging visual data.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

Interactive educational activity asking users to determine platform heights using a 3-inch tube. The interface, inspired by Desmos math tools, features a dragging function and feedback system with a checkbox and "Try another" option, amplifying the learning experience.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An interactive screen showing an activity about decomposing a figure into prisms, with a touch of Desmos Math integration. The user is asked to drag points to demonstrate the decomposition. Two prism illustrations are displayed, offering a glimpse of New York Math's approach.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

6-A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

A laptop displays a math warm-up activity with shapes and a scale, in front of two Amplify Desmos Math teacher edition books for grades 1 and 7.
Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity shows foxes on a seesaw balanced with 18-pound weights. A multiple-choice question and text box ask for the weight of a fox in pounds.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity screen shows a character above a number line and a box with the inequality "x > -10" entered. A cursor points to the "Edit my response" button.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A graph plots four robot colors by height and eye distance; on the right, matching colored robots stand side by side, labeled Red, Purple, Blue, and Green.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of an Amplify Desmos Math Algebra 1 ancillary sampler, featuring students interacting with graphs and mathematical models, including a rocket and a parabola.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A math activity screen shows a cartoon snail, purple blocks, and a table comparing blocks and a math equation; a cursor hovers over the "Edit my response" button.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Grade K

Topic Opener Numbers 0 to 5

Topic Opener Numbers 0 to 5Connecting Cubes

Topic 1: Numbers 0 to 5

Lesson 1-2 Recognize 1, 2, and 3 in Different ArrangementsSkye’s Style
Lesson 1-5 Recognize 4 and 5 in Different ArrangementsMatching Groups
Designing Shoes with Skye
3-ACT MATH: Set the TableInvestigate: Cafeteria Math

Topic 3: Numbers 6 to 10

Lesson 3-2: Read, Make, and Write 6 and 7Moving and Grooving
Lesson 3-4: Read, Make, and Write 8 and 9Moving and Grooving
Lesson 3-6: Read, Make, and Write 10Moving and Grooving
Lesson 3-7: Count Numbers to 10Fingers as Math Tools

Topic 4: Compare Numbers 0 to 10

Lesson 4-1: Compare Groups to 10 by MatchingMore, Fewer, or the Same
Forest Friends
Lesson 4-2: Compare Numbers Using Numerals to 10Fingers and Counters
Lesson 4-3: Compare Groups to 10 by CountingComparing Words

Topic 6: Understand Addition

Interactive Math StoryInvestigate: Casey’s Town
Lesson 6-1: Explore AdditionHow Many Objects in Pictures?
The Bus Depot
Lesson 6-2: Represent Addition as Adding ToHow Will You Count?
Lesson 6-3: Represent Addition as Putting TogetherHow Many Objects?
Lesson 6-4: Represent and Explain Addition with EquationsWhat Does It Mean to Add?

Topic 7: Understand Subtraction

Lesson 7-1: Explore SubtractionWhat Does It Mean to Subtract?
The Bus Depot

Topic 8: More Addition and Subtraction

Lesson 8-5: Decompose 6 and 7 to Solve ProblemsHarry Explores the Ocean
Lesson 8-6: Decompose 8 and 9 to Solve ProblemsHarry Explores the Ocean
Lesson 8-8: Decompose 10 to Solve ProblemsHarry Explores the Ocean

Topic 12: Identify and Describe Shapes

Lesson 12-2: Circles and TrianglesWhat’s That Shape Called?
Lesson 12-3: Squares and Other RectanglesAnother Shape

Topic 13: Analyze, Compare, and Create Shapes

Lesson 13-1: Analyze and Compare Two-Dimensional (2-D) ShapesAnother Shape
So Much Sorting

Grade 1

Topic 1: Understand Addition and Subtraction

Lesson 1-4: Take FromPacking for a Picnic
What’s the Difference?
Lesson 1-7: Change UnknownReplanting Huli
Lesson 1-8: Practice Adding and SubtractingLeaping Lily Pads!

Topic 2: Fluently Add and Subtract Within 10

enVision STEM ProjectA Community Working Together
Topic 2 Interactive Math StoryInvestigate: Let’s Grow!
Lesson 2-8: Solve Word Problems with Facts to 10Tutu’s Garden in Maui
The Kalo Plants
Helping Others

Topic 3: Addition Facts to 20: Use Strategies

Lesson 3-5: Make 10 to AddMaking 10
Lesson 3-6: Continue to Make 10 to AddKitten Coaster

Topic 6: Represent and Interpret Data

Lesson 6-1: Organize Data into Three CategoriesShapes Ying Saw

Topic 7: Extend the Counting Sequence

Lesson 7-1: Count by 10s to 120Meeting Yara
Grade 1 Lesson 7-5: Count on an Open Number LineTime to Line Up!
Grade 1 Lesson 7-5: Count on an Open Number LineWhat’s That Number?

Topic 8: Understand Place value

Lesson 8-1: Make Numbers 11 to 19Same Number, Different Ways
Lesson 8-2: Numbers Made with TensInvestigate: Game Points
It’s a Match

Topic 9: Compare Two-Digit Numbers

Lesson 9-3: Compare NumbersInvestigate: Where Am I?
Grade 1 Lesson 9-5: Compare Numbers on a Number LineGreater Than, Less Than, or Equal to
Grade 1 Lesson 9-5: Compare Numbers on a Number LineIn Full Bloom

Topic 10: Use Models and Strategies to Add Tens and Ones

Lesson 10-1: Add Tens Using ModelsHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Topic 11: Use Models and Strategies to Subtract Tens

Lesson 11-1: Subtract Tens Using ModelsBoris’s Thimbles
Lesson 11-2: Subtract Tens Using a Hundred ChartHow Many Tens?

Topic 14: Reason with Shapes and Their Attributes

Lesson 14-1: Use Attributes to Define Two-Dimensional (2-D) ShapesShapes Ying Saw

Grade 2

Topic 1: Fluently Add and Subtract Within 20

Lesson 1-1: Addition Fact StrategiesExploring Within 10
Lesson 1-3: Make a 10 to AddWays to Make 10

Topic 8: Work with Time and Money

Lesson 8-1: Solve Problems with CoinsInvestigate: Activities at the Block Party
Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 8-2: Continue to Solve Problems with CoinsHow Much Money?
Discovering Coins (Part 2)
Lesson 8-5: Problem Solving: ReasoningThe Toy Stand
The Craft Stand at the Block Party

Topic 12: Measuring Length

Lesson 12-8: Compare LengthsLengths of Jungle Animals

Topic 15: Graphs and Data

Lesson 15-1: Line PlotsMessy Measurements
Lesson 15-2: More Line PlotsBracelets and Wristbands
Lesson 15-3: Bar GraphsAwesome Aquariums

Grade 3

Topic 1: Understand Multiplication and Division of Whole Numbers

Lesson 1-1: Relate Multiplication and AdditionEqual Groups
Lesson 1-3: Arrays and PropertiesArrays of Flavor

Topic 4: Use Multiplication to Divide: Division Facts

Lesson 4-1: Relate Multiplication and DivisionIt’s Chili in Here
Relating Quotients to Familiar Products
Lesson 4-8: Solve Multiplication and Division EquationsDivision and Multiplication Equations

Topic 6: Connect Area to Multiplication and Addition

Lesson 6-1: Cover RegionsInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 6-2: Area: Nonstandard UnitsTiling Figures
Lesson 6-3: Area: Standard UnitsArea Hunt
Lesson 6-4: Area of Squares and RectanglesRectangles and Arrays

Topic 7: Represent and Interpret Data

Lesson 7-3: Make Bar GraphsPuppy Pile
2, 5, or 10?

Topic 8: Use Strategies and Properties to Add and Subtract

Topic 8 VocabularyInvestigate: Create a Photo Gallery
Lesson 8-2: Algebra: Addition PatternsPanda Patterns
Lesson 8-3: Mental Math: AdditionHow Would You Solve It?

Topic 9: Fluently Add and Subtract within 1,000

Lesson 9-1: Use Partial Sums to AddAdding Your Way
What is an Algorithm?
Lesson 9-2: Use Regrouping to AddUsing Fewer Digits
Lesson 9-3: Add 3 or More NumbersDetermining Sums of 2 or More Addends
Lesson 9-6: Use Strategies to Add and SubtractAdding Strategically

Grade 4

Topic 7: Factors and Multiples

3-ACT MATH: Can-Do AttitudeHamster Homes
Lesson 7-2: FactorsFactor or Multiple?
Lesson 7-4: Prime and Composite NumbersA Number Game
Lesson 7-5: MultiplesFactor or Multiple?
How Does It Grow?

Topic 8: Extend Understanding of Fraction Equivalence and Ordering

Lesson 8-2: Equivalent Fractions: Number LinesInvestigate: Building Your Own Number Line
All Kinds of Fractions
Lesson 8-5: Use Benchmarks to Compare FractionsFraction Strips
Lesson 8-5: Use Benchmarks to Compare FractionsChop It

Topic 9: Understand Addition and Subtraction of Fractions

Lesson 9-1: Model Addition of FractionsPizza Problems
Lesson 9-4: Model Subtraction of FractionsPizza Problems
Lesson 9-2: Decompose FractionsMath Pizzeria

Topic 10: Extend Multiplication Concepts to Fractions

Lesson 10-1: Fractions as Multiples of Unit FractionsEqual Groups of Fractions

Topic 12: Understand and Compare Decimals

Topic 12 Review What You KnowInvestigate: Different Units
Lesson 12-1: Fractions and DecimalsA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-2: Fractions and Decimals on the Number LineAre They Equivalent?
What’s the Order?
Lesson 12-3: Compare DecimalsHow Can You Compare?
Robot Factory

Grade 5

Topic 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 3-5: Multiply 3-Digit by 2-Digit NumbersPartial Products Everywhere
Lesson 3-7: Practice Multiplying Multi-Digit NumbersHow Do They Compare?

Topic 5: Use Models and Strategies to Divide Whole Numbers

Lesson 5-4: Use Partial Quotients to DivideEmptying the Water Tank

Topic 8: Apply Understanding of Multiplication to Multiply Fractions

Lesson 8-3: Multiply Fractions and Whole NumbersMaking Food
Lesson 8-4: Use Models to Multiply Two FractionsInvestigate: Folding Paper
Parts of Parts
One Part of One Part
Lesson 8-5: Multiply Two FractionsMaking Food
Messy Multiplication
Lesson 8-6: Area of a RectangleInstalling Turf
Rows and Columns
Lesson 8-7: Multiply Mixed NumbersApplying Fraction Multiplication
Messy Multiplication
Lesson 8-8: Multiplication as ScalingChores at Animal Haven
The Re-size-inator

Topic 9: Apply Understanding of Division to Divide Fractions

Topic 11: Understand Volume Concepts

Lesson 11-1: Model VolumeWhich is Largest
3-ACT Math: Fill ‘er UpPacking the Barge
Lesson 11-3: Combine Volumes of PrismsPutting It Together
Figures Made of Prisms

Algebra 1

No lessons focused on only shape patterns.

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Solving Strategies
Lesson 1-3: Solving Linear Equations With a Variable on Both SidesSame Position
Lesson 1-4: Literal Equations & FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Equations

Lesson 2-3: Standard FormShelley the Snail
Five Representations

Topic 3: Linear Functions

Lesson 3-4: Arithmetic SequenceMore Visual Patterns
Sequence Carnival
Lesson 3-5: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 3-6: Analyzing Lines of FitResidual Fruit
Penguin Populations
Behind the Headlines
City Data

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Linear Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise Defined FunctionsCraft-a-Graph
Pumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-3: Exponential FunctionsCarlos’s Fish
Lesson 6-5: Geometric SequencesRevisiting Visual Patterns, Part 1
Sequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8-3: Quadratic Functions in Standard FormPlenty of Parabolas
Two for One
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets
Robot Launch
Lesson 8-5: Linear, Exponential and Quadratic ModelsSorting Relationships

Topic 9: Solving Quadratic Equations

Lesson 9-1: Solving Quadratics Using Graphs and TablesStomp Rockets
Lesson 9-2: Solving Quadratic Equations by FactoringParabola Zapper
Shooting Stars
Lesson 9-4: Completing the SquareSquare Tactic
Lesson 9-5: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root Function ( & average rate of change)Plane, Train, and Automobile
Lesson 10-3: Analyzing Functions Graphically (Abs, Quad, Sq.Root, Exp, Cubic)Craft-a-Graph
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

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

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)

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a new, curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they are eager to solve; teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

Scroll to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Offered in English and Spanish, Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Please scroll to learn more about the K–8 program and explore sample materials. (TK and high school materials are in development and will be available soon.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Assessment

mCLASS benchmark assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and Multilingual / English Learner support, Amplify Desmos Math California will allow every student to find success in the math classroom.

An educational game screen with a worm on a log and numbered blocks. Adjacent is a worksheet titled "Finding the Missing Pair" with instructions and incomplete equations.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Two pages of a math workbook displaying exercises on determining coordinates after rotation. The pages include diagrams, tables, and practice problems.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between Big Ideas. The grade-level diagram changes through the course based on the math concepts being addressed.

Focus, coherence, and rigor

Each lesson highlights why the content being covered is important, how students will engage with the mathematics, and what students will do with the learning. Our lesson opener helps teachers understand the most important concepts of the lesson, and includes the Drivers of Investigation (DI), Content Connections (CC), and Standards for Mathematical Practice (SMP) that drive learning in each lesson.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.
A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed in such a way that all students can access the basic mathematical concepts, but they also offer possibilities for advanced exploration and problem-solving for those ready for more complex work, promoting an inclusive and differentiated learning environment.

Our innovative course-level investigations are designed to facilitate multipart exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, equipping students with a strong foundation in interpreting and applying data-driven solutions. The Environmental Principles and Concepts (EP&Cs) are also a focus of our investigations, enabling students to understand and appreciate the coherence and interrelationship of Earth’s environmental systems.

A focus on multilingual and English learners

Children sitting at desks in a classroom with a large illustrated caterpillar on the wall. Beside them are printed educational materials labeled “Amplify Desmos Math” and “Ying’s Aquarium Story.”.

In building Amplify Desmos Math California, we partnered with the English Learner Success Forum (ELSF) to provide guidance on our multilingual/English learner support for teachers. ELSF is a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF’s guiding documents reflect research-based instructional strategies that are critical to curriculum design and were created by researchers, linguists, and practitioners from across the country. ELSF reviewed our materials and provided directional guidance and feedback to ensure that the program fully supports multilingual/English learners.

A component of our K–5 curriculum is the engaging unit stories that interweave mathematics with real-life situations and relatable narratives. These unit stories are specifically crafted to inspire curiosity and foster a deep connection between the learner and the math concepts being explored. This unique approach not only makes learning fun and interesting, but also allows our young learners to see themselves in the math.

To help students grow their domain-specific and academic vocabulary, Amplify Desmos Math California provides embedded vocabulary routines, such as prompting teachers to use a Frayer Model. These routines allow students to make connections to new language and offer repeated opportunities to develop and refine language.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resource has leveled ELD (Emerging, Expanding, Bridging) differentiation to support all levels of Multilingual and English Learners. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Uploaded digital glossary for languages other than Spanish. Up to nine languages of translations will be provided for.

Amplify Desmos Math California will include support resources for Spanish-speaking students across TK–Algebra 1/Integrated I beginning in the 20262027 school year.

A computer displays an educational activity about measuring platform heights. A notebook page is layered behind it, with a colorful hamster-themed illustration.

K–5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math California.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Digital educational activity showing a blue backpack illustration with dots, a task to match dots on cards, and printed sheet featuring a similar dot-matching exercise.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Illustration of a bear choosing a path with more mushrooms. Activity book page titled "A Furry Feast" with groups of objects to compare quantities.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math California.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital educational activity showing a math problem about leaves on a kalo plant with a related worksheet on plant growth.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive math activity for kids featuring a frog and number line for subtraction problems, asking to find differences to locate bugs.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math California.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Two digital worksheets about Theo's aquarium with tasks to estimate animal quantities using draggable graphs and illustrations of fish, frogs, and shrimps.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Educational activity on a screen showing a worm and blocks with numbers. Another page shows an activity titled "Finding the Missing Pair," with numbered options and a video prompt.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math California.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Math activity screenshot showing a problem to calculate the area of an unpainted wall space with given side lengths in a room diagram.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Activity sheets showing a bar graph and a table for counting animal stickers: 7 rabbits, 5 raccoons, and 2 foxes. Includes instructions for arranging data points on a graph.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Screenshot of a digital math activity showing a fraction number line task with a log-cutting visual and an instruction page titled "Locating Fractions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity displays a drag-and-drop task to determine platform heights using tube lengths, showing a room scene and instructions on a digital interface.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math California.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

Activity worksheet and digital screen showing a panda on a cliff, with instructions about placing a missing bamboo shoot to help it reach the leaf.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screen showing a student activity about decomposing a figure into prisms, with a drag-and-drop exercise and an adjacent worksheet labeled "Seeing Prisms.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

6–A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Laptop showing a math activity with geometric shapes. Two textbooks titled "Amplify Desmos Math" are displayed above.
An educational document titled "Scope and Sequence" for Grade 6 math, designed in collaboration with Amplify Desmos Math, outlining six units with instructional and optional days for topics such as fractions, integers, and expressions.
Program structure

Get to know the content and structure of Grade 6 Amplify Desmos Math California.

Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Area; Unit 3, Sub-Unit 1: Units and Measurement; and Unit 6, Sub-Unit 1: Solving Equations.

A digital activity showing two model trains on a track with a question about speed. A printed page on the right is titled "Model Trains" with warm-up instructions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital illustration of math balancing scales featuring boxes and a fox, alongside a worksheet displaying similar content and activities for learning math concepts.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 7 math curriculum outline, featuring units on scale drawings, proportional relationships, measuring circles, rational numbers, operations, equations, angles, area, and probability with sequencing and days allocated. Perfectly aligned with Amplify Desmos Math for New York Math standards.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Scaled Copies; Unit 4, Sub-Unit 1: Percentages as Proportional Relationships; and Unit 6, Sub-Unit 1: Equations and Tape Diagrams.

Activity page showing a grid for shape creation with an area of 8 square centimeters. Includes shape options and instructions on rotation. A booklet page displays area challenges and warm-up tasks.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screenshot of an educational website showing a math activity featuring a sheep named Shira. There is a graph and a worksheet on inequalities displayed.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 8 math curriculum chart featuring 9 units, such as Rigid Transformations and Congruence, with Suggested Instructional days. Each unit outlines instructional days, assessment days, and optional days—complemented by insights from Amplify Desmos Math to enhance your New York math learning experience.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Rigid Transformations; Unit 3, Sub-Unit 2: Linear Relationships; and Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Image of a digital math activity titled "Line Capture #2" featuring a grid, equations, and instructions. A paper worksheet with graphs and a "Line Zapper" title is displayed alongside.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Algebra 1 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

A digital educational interface shows a graph with data points and textual instructions comparing year and breeding pairs. Adjacent is a page discussing penguin populations with charts and illustrations.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Contact us

For questions, samples, or more information, please contact your local Amplify Account Executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

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Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
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Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
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Request additional samples.

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Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Classroom
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 13: Movie Time
Lesson 4: Understand Division with FractionsUnit 4
Lesson 13: Movie Time
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 6 Fill the Gap
Lesson 7: Solve Problems with Rational NumbersUnit 4
Lesson 3: Flour Planner

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 4: Order in the Class

Chapter 3: Numeric and Algebraic Expressions

Lesson 4: Write Algebraic ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 6: Generate Equivalent Expressions Unit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 7: Tunnel Travels
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 16: Subway FaresTake Away (coming soon!)

Chapter 5: Understand and Use Ratio and Rate

Lesson 1: Understand RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Generate Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 4: Represent and Graph RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Compare Unit RatesUnit 3
Lesson 6: Soft Serve

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 9: Lucky Duckies

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

Lesson 1: Find Areas of Parallelograms and RhombusesUnit 1
Lesson 3: Exploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Lesson 5: Represent Solid Figures Using NetsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Display, Describe, and Summarize data

Lesson 2: Summarize data Using Mean, Median, and ModeUnit 8 
Lesson 11: Toy Cars
Lesson 4: Display Data in Frequency Tables and HistogramsUnit 8 
Lesson 5: The Plot Thickens
Lesson 7: Summarize Data DistributionsUnit 8 
Lesson 3: Minimum Wage

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Classroom
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 6: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 10: Integer Puzzles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Chapter 2: Analyze and Use Proportional Relationships

Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 6: Two and Two
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 3: Analyze and Solve Percent Problems

Lesson 1: Analyze Percents of Numbers
Lesson 2: Connect Percent and Proportion
Unit 4
Lesson 1: Mosaics
Lesson 4: Solve Percent Change and Percent Error ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Solve Markup and Markdown ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 4: Generate Equivalent Expressions

Lesson 3: Simplify ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 4: Expand ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 6: Add Expressions
Lesson 7: Subtract Expressions
Unit 6
Lesson 10: Collect the Squares

Chapter 5: Solve Problems Using Equations and Inequalities

Lesson 4: Solve Inequalities Using Addition or Subtraction
Lesson 5: Solve Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 6: Solve Two-Step Inequalities
Lesson 7: Solve Multi-Step Problems
Unit 6
Lesson 16: Shira the Sheep

Chapter 6: Use Sampling to Draw Inferences About Populations

Lesson 1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Draw Inferences from DataUnit 8 
Lesson 10: Crab Island
Lesson 3: Make Comparative Inferences About Populations
Lesson 4: Make More Comparative Inferences About Populations
Unit 8
Lesson 10: Crab Island

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines Lesson 7: Will It Fit?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It?
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 7
Lesson 3: Measuring Around
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 9: Area Challenges

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Classroom
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 4: Root Down
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 3: Power Pairs
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 2: Analyze and Solve Linear Equations

Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 6: Connect proportional Relationships and SlopeUnit 3
Lesson 4: Flags
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 4: Flags

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 3: Robots
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6  
Lesson 11: Finding Associations

Chapter 5: Analyze and Solve Systems of Linear Equations

Lesson 2: Solve Systems by GraphingUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Congruence and Similarity

Lesson 1: Analyze TranslationsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 2: Analyze Reflections
Lesson 3: Analyze Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 6: Describe DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 7: Understand Similar FiguresUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 9: Interior and Exterior Angles of TrianglesUnit 1
Lesson 12: Puzzling It Out

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 2: Find Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones

Algebra 1

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Lesson 1-3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1-4: Literal Equations and FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Functions

Lessons 2-1 to 2-3 Forms of Linear EquationsSubway Seats
Five Representations

Topic 3: Linear Functions

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise-Defined FunctionsPumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-2: Exponential FunctionsCarlos’s Fish
Revisiting Visual Patterns, Part 1
Lesson 6-4: Geometric SequencesSequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionQuadratic Visual Patterns
Lesson 8-2: Quadratic Functions in Vertex FormOn the Fence
Plenty of Parabolas
Lesson 8-5: Linear, Exponential and Quadratic ModelsDetroit’s Population, Part 1
Detroit’s Population, Part 2
Sorting Relationships
Lesson 8-3: Quadratic Functions in Standard FormRobot Launch
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets

Topic 9: Solving Quadratic Equations

Lesson 9-2: Solving Quadratic Equations by FactoringTwo for One
Parabola Zapper
Shooting Stars
Lesson 9-5: Completing the SquareSquare Tactic
Lesson 9-6: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root functionPlane, Train, and Automobile
Lesson 10-3: Analyzing Functions GraphicallyCraft-a-Graph
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

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

Welcome, Flowing Wells, to Amplify Desmos Math!

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Keep reading to learn more about the program and explore sample materials.

A collage of educational software screens, featuring Desmos Math with vibrant graphs and animations, amplifies mathematical comparisons alongside engaging plant growth simulations. Perfect for educators in New York math classrooms seeking dynamic learning tools.

About the program

Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students.  The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

Screenshot of an educational activity page using Amplify Desmos Math to present a function machine and a table for calculating outputs of ( h(x) = f(x + 2) ) with given inputs for ( x ), offering an engaging approach to New York math standards.
The geometry activity screen features a circle with intersecting lines and a shaded area. Instructions prompt users to explore Sam's construction and determine if a square was formed, all enhanced by the innovative tools of Amplify Desmos Math.

Structured approach to problem-based learning

  • Easy-to-follow instructional guidance
  • Robust assessments and reports
image of Amplify Desmos Math

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has compatible print and digital materials for a collaborative classroom
Screenshot of a design challenge interface from Amplify Desmos Math, featuring overlapping purple circles. The left shows 3 circles, and the right displays 5. Task: match the two designs as if solving a New York math puzzle.

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking
A chart titled "Scope and Sequence" for Algebra 1, Geometry, and Algebra 2, with colorful units and topics, overlaid by an illustration of lab equipment with a gauge and liquid.

Scope and sequence

Click the link below to view the program scope and sequence.

Preview lessons

Check out the links below to explore our interactive digital lessons. Download a navigation guide for tips on navigating the print and digital program components.

A laptop showcases a mathematical graph using Desmos Math, amplifying the learning experience. Behind it lie two papers with printed graphs and text, reflecting a bustling New York math classroom environment.

Looking for help?

We are dedicated to supporting you throughout your review. Get help at any time by getting in touch with your account executive directly:

Tommy Gearhart, Account Executive
tgearhart@amplify.com
(505) 206-7661

Welcome, Amplify Math families and community to Amplify Desmos Math High School (AGA, Integrated 1–3)!

Welcome to Amplify Desmos Math! Below, you’ll find links to sample lessons, scope and sequence, and more information about our AGA and Integrated high school math programs.

Algebra 1, Geometry, Algebra 2, and Integrated 1 are available for Beta implementations and pilots in 2025–26. Integrated 2–3 will be available for the 2026–27 school year.

A collage of educational software screens, featuring Desmos Math with vibrant graphs and animations, amplifies mathematical comparisons alongside engaging plant growth simulations. Perfect for educators in New York math classrooms seeking dynamic learning tools.

About the program

Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students.  The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

Screenshot of an educational activity page using Amplify Desmos Math to present a function machine and a table for calculating outputs of ( h(x) = f(x + 2) ) with given inputs for ( x ), offering an engaging approach to New York math standards.
The geometry activity screen features a circle with intersecting lines and a shaded area. Instructions prompt users to explore Sam's construction and determine if a square was formed, all enhanced by the innovative tools of Amplify Desmos Math.

Structured approach to problem-based learning

  • Easy-to-follow instructional guidance
  • Robust assessments and reports
  • Spanish student materials (available 2026–27)
A classroom dashboard displays student names and their progress in activities, with checkmarks indicating completed tasks and circles showing ongoing or incomplete tasks.

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has compatible print and digital materials for a collaborative classroom
Screenshot of a design challenge interface from Amplify Desmos Math, featuring overlapping purple circles. The left shows 3 circles, and the right displays 5. Task: match the two designs as if solving a New York math puzzle.

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking
A chart titled Scope and Sequence for Algebra 1, Geometry, and Algebra 2, with colorful units and topics, overlaid by an illustration of lab equipment with a gauge and liquid.

Scope and sequence

Click the link below to view the program scope and sequence.

Preview lessons

Check out the links below to explore our interactive digital lessons. Download a navigation guide for tips on navigating the print and digital program components.

A laptop showcases a mathematical graph using Desmos Math, amplifying the learning experience. Behind it lie two papers with printed graphs and text, reflecting a bustling New York math classroom environment.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

  • Live chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our toll-free number: (800) 823-1969.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.
A laptop screen displays a curriculum dashboard with a list of core units and colorful thumbnails for a sixth-grade ELA program.

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Desmos Math 6–A1 correlations with Carnegie Math Texas

To view this protected page, enter the password below:



Grade 6

Module 1: Composing and Decomposing

Topic 1: Factors and Multiples

MATHbookLesson 1: Taking Apart Numbers and ShapesProducts and Sums
MATHbookLesson 5: Yours IS to Reason Why!Fill the Gap

Topic 2: Area, Volume, and Surface Area

MATHbookLesson 1: All About That Base….and HeightExploring Triangles
Triangles and Parallelograms
MATHbookLesson 2: Slicing and Dicing: Composit FigureShapes on a Plane
Letters

Topic 3: Decimals

MATHbookLesson 1: You Have a PointDishing Out Decimals
MATHbookLesson 2: Get In LineDecimal Diagrams and Algorithms
MATHbookLesson 4: Dividend In the HouseMovie Time

Topic 4: Fraction by Fraction Division

MATHiaLesson 1: Representing Fraction DivisionFlour Planner

Topic 5: Area of Triangles and Quadrilaterals

MATHiaLesson 2: Developing Area FormulasExploring Parallelograms,
Part 1
MATHiaLesson 3: Calculating Areas of Various FiguresExploring Parallelograms,
Part 2

Off the Grid, Part 1
Off the Grid, Part 2

Topic 6: Composite Figures

MATHiaLesson 2: Calculating Area of Composite FiguresPile of Polygons

Topic 8: Surface Area of Regulat Prisms and Pyramids

MATHiaLesson 1: Determing Surface Area Using NetsRenata’s Stickers

Module 2: Relating Quantitites

Topic 1: Ratios

MATHbookLesson 2: Going StrongPizza Maker
MATHbookLesson 3: Different but the SamePizza Maker
MATHbookLesson 4: A trip to the MoonFruit Lab

Topic 2: Percents

MATHbookLesson 2: Warming the BenchLucky Duckies

Topic 3: Using Tables to Represent Equivalent Ratios

MATHbookLesson 1: Many ways to MeasureMany Measurements
Model Trains
MATHbookLesson 2: What is the Best Buy?World Records
MATHbookLesson 3: A Trip to the MoonWelcome to the Robot Factory
MATHiaLesson 2: Using Tables to Determine Equivalent RatiosDisaster Preparation
MATHiaLesson 3: Problem Solving with Equivalent Rations and Rates using TablesDisaster Preparation

Topic 9: Introduction to Unit Rate

MATHiaLesson 2: Determining and Comparing RatesSoft Serve
More Soft Serve

Module 3: Determining Unknown Values

Topic 2: Equations

MATHbookLesson 2: Double TalkWeight for It
MATHbookLesson 3: Play It in ReverseWeight for It
MATHbookLesson 4: One, None, or a TonTunnel Travels
MATHbookLesson 5: Getting RealFive Equations
Swap and Solve

Topic 3: Graphing Quantitative Relationships

MATHbookLesson 3: Planes, Trains, and PaychecksSubway Fares

Topic 6: Solving One-Step Addition and Subtraction Equations

MATHiaLesson 1: Exploring One-Step Equations with Double-Number LinesHanging Around

Topic 7: Solving One-Step Multiplication and Division Equations

MATHiaLesson 1: Using Double Number Lines to Solve One-Step Multiplicaiton EquationsHanging Around

Topic 8: Solving One-Step Equations with Decimals and Fractions

MATHiaLessons 1-4:Hanging Around

Module 4: Moving Beyond Positive Quantities

Topic 1: Signed Numbers

MATHbookLesson 1: Signed NumbersCan You Dig It?

Topic 1: Introduction to Negative Numbers

MATHiaLesson 2: Representing Integers on Number LinesOrder in the Class

Module 5: Describing Variability of Quantities

Topic 1: The Statical Process

MATHbookLesson 3: SkyscrapersThe Plot Thickens

Topic 2: Numerical Summaries of Data

MATHbookLesson 1: In the MiddleToy Cars
MATHbookLesson 3: March MADnessHoops

Topic 2: Analyzing Numeric Data Displays

MATHiaLesson 1: Creating Dot PlotsMinimum Wage

Grade 7

Module 1: Thinking Proportionally

Topic 1: Circles and Ratios

MATHbookLesson 1: Pi: The Ultimate RatioMeasuring Around
MATHbookLesson 2: That’s a Spicy Pizza!Why Pi?
MATHbookLesson 2: Circular ReasoningArea Challenges
MATHbook
Lesson 4: Pound for Pount, Inch for Inch
Scaling Machines
Tiles
Scaling Robots

Topic 2: Proportionality

MATHbookLesson 1: Poultry in MotionPaint
MATHbookLesson 6: Minding Your Ps and QsTwo and Two

Topic 3: Proportional Relationships

MATHbookLesson 1: Markups and MarkdownsAll the Equations
100%
MATHbookLesson 4: More Ups and DownsMosaics
More and Less

Topic 3: Scale and Scale Drawing

MATHiaLesson 1: Critical Attributes of Similar FiguresScale Factor Challenges
MATHiaLesson 3: Calculating Measurements Using ScaleMake it Scale
Will It Fit

Topic 4: Ratio Representations

MATHiaLesson 2: Determining Characteristics of Graphs of Proportional RelationshipsDinoPops

Topic 11: Introducing Proportions to Solve Percent Problems

MATHiaLesson 2: Solving Simple Percent ProblemsBack in My Day

Topic 13: Percent Increase and Percent Decrease

MATHiaLesson 1: Calculating Percent Change and Final AmountsPercent Machines

Module 2: Operating with Signed Numbers

Topic 1: Adding and Subtracting Rational Numbers

MATHbookLesson 1: Math FootballFloats and Anchors
MATHbookLesson 2: Walk the LineMore Floats and Anchors
MATHbookLesson 4: What’s the Difference?More Floats and Anchors

Topic 5: Rewriting Expressions

MATHiaLesson 2: Evaluating Simple Numberic Expressions with IntegersInteger Puzzles

Topic 6: Using Number Properties to Interpret Expressions with Signed Numbers

MATHiaLesson 2: Operating with Signed DecimalsDraw Your Own

Module 3: Reasoning Algebraically

Topic 1: Two-Step Expressions and Equations

MATHbookLesson 4: Formally YoursKeeping it True

Topic 2: Multiple Representations of Equations and Inequalities

MATHbookLesson 3: Solving Inequalities with Inverse OperationsUnbalanced Hangers
MATHbook
Lesson 4: Deep Dive
Budgeting
Write Them and Solve Them

Topic 1: Rewriting Algebraic Expressions

MATHiaLesson 2: Rewriting Algebraic Expressions Involving Integer CoefficientsCollect the Squares

Topic 8: Solving Inequalities with Inverse Operations

MATHiaLesson 3: Solving Two-Step InequalitiesI Saw the Signs
Shira the Sheep

Module 4: Analyzing Populations and Probabilities

Topic 1: Introduction to Probability

MATHbookLesson 1: Rolling, Rolling, Rolling…How Likely
Prob-bear-bilities
MATHbookLesson 2: Give the Model a ChanceIs It Fair?

Topic 3: Drawing Inferences

MATHbookLesson 2: Tiles, Gumballs, and PumpkinsCrab Island

Module 5: Constructing and Measuring

Topic 1: Angles and Triangles

MATHbookLesson 2: Special DeliveryFriendly Angles
MATHbookLesson 3: Consider Every SideCan You Build It

Topic 1: Special Angle Relationships

MATHiaLesson 2: Exploring Angle RelationshipsMissing Measures
MATHiaLesson 3: Solving for Angle MeasuresMissing Measures

Grade 8

Module 1: Transforming Geometric Objects

Topic 1: Rigit Motion Transformaitons

MATHbookLesson 1: Patty Paper, Patty PaperTransformers
MATHbookLesson 2: Slides, Flips, and SpinsSpinning, Flipping, Sliding
MATHbookLesson 3: Lateral MovesGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 4: Mirror, MirrorGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLasson 5: Half Turnsa and Quarter TurnsGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 6: Every Which WayTransformation Golf

Topic 2: Dilations

MATHbookLesson 1: Pinch-Zoom GeometrySketchy Dilations
MATHbookLesson 2: Rising, Running, Stepping, ScalingDilation Mini Golf
MATHbookLesson 3: From Here to ThereSocial Scavenger Hunt

Topic 3: Line and Angle Relationships

MATHbookLesson 2: Crisscrsoss ApplesaucePuzzling It Out

Topic 1: Rigid Motion in the Coordinate Plane

MATHiaLesson 1: Experimenting with Rigid MotionMoving Day

Module 2: Modeling Linear Relationships

Topic 1: From Proportions to Linear Relationships

MATHbookLesson 2: Jack and Jill Went Up the HillTurtle Time Trials
MATHbookLesson 4: Up, Down, and All AroundTranslations

Topic 2: Modeling Linear Relationships

MATHbookLesson 2: Been There, Done That, Got the T-shirtWater Cooler
MATHbookLesson 3: Dining, Dancing, DrivingFlags
Ups and Downs
MATHbookLesson 4: Derby DayStacking Cups (Optional)

Topic 3: Systems of Linear Equations

MATHbookLesson 1: Crossing PathsMake Them Balance
MATHbookLesson 2: The Road Less TraveledLine Zapper

Topic 11: Solving Linear Equations with Variables on Both Sides

MATHiaLesson 3: Solving with Variables on Both Sides with RationalsEquation Roundtable

Module 3: Developing Function Foundations

Topic 1: Introduction to Functions

MATHbookLesson 1: Patterns, Sequences, Rules…Guess My Rule
MATHbookLesson 2: Once Upon a GraphTurtle Crossing
MATHbookLesson 4: Over the River and Through the WoodsThe Tortoise and the Hare
Scatter Plot City
Interpreting Slopes

Topic 2: Patterns in Bivariate Data

MATHbookLesson 1: Pass the SqueezeRobots
MATHbookLesson 2: Off the ChainDapper Cats
MATHbookLesson 3: Mia is Growing Like a WeedFind the FIt (called Fit Fights in Desmos Math)
MATHbookLesson 4: The Stroop TestInterpreting Scatter Plots
MATHbookLesson 5: Would You Rather…?Finding Associations

Topic 4: Drawing Lines of Best Fit

MATHiaLesson 1: Estimating Lines of Best FitInterpreting Slopes
MATHiaLesson 2: Using Lines of Best FitAnimal Brains

Module 4: Expanding Number Systems

Topic 2: Pythagorean Theorem

MATHbookLesson 1: The Right ConnectionTriangle Tracing Turtle
MATHbookLesson 4: Catty CornerTaco Truck

Topic 1: The Real Number System

MATHiaLesson 2: Graphing Real Numbers on the Number LineRoot Down

Module 5: Applying Powers

Topic 1: Exponents and Scientific Notation

MATHbookLesson 1: It’s a Generational ThingCircles
MATHbookLesson 2: Show What You KnowPower Pairs
MATHbookLesson 3: The Big and Small of ItSpecific and Scientific (formerly Solar System)
MATHbook
Lesson 4: How Much Larger?
Balance the Scale

Topic 2: Volume of Curved Figures

MATHbookLesson 1: Drum Roll, Please!Cylinders
MATHbookLesson 2: Conse of SilenceCones

Algebra 1

Module 1: Searching for Patterns

Topic 1: Quantities and Relationships

Lesson 3: f of x, Recognizing Functions and Function FamiliesCraft-a-Graph
Pumpkin Prices

Topic 2: Sequences

Lesson 1: Is there a Pattern Here?Visual Patterns
Revisiting Visual Patterns, Part 1
Lesson 2: The Password is Operations!Sequence Carnival
Revisiting Visual Patterns, Part 2
Lesson 3: Did You Mean: Recursion?More Visual Patterns

Topic 3: Linear Regressions

Lesson 1: Like a GlovePenguin Populations
Lesson 2: Gotta Keep It Correlatin’Correlation Coefficient
How Hot Is It?
Behind the Headlines
City Data
Lesson 3: The Residual EffectResidual Fruit
Lesson 4: To Fit or Not To Fit? That Is the Question!City Slopes

Module 2: Exploring Constant Change

Topic 1: Linear Functions

Lesson 1: Connecting the DotsPlane, Train, and Automobile

Topic 2: Solving Linear Equations and Inequalities

Lesson 1: Strike a BalanceWorking Backwards
Solving Strategies
Same Position
Lesson 2: It’s Literally About Literal EquationsSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 3: Not All Statements Are Made EqualPizza Delivery

Topic 3: Systems of Equations and Inequalities

Lesson 1: Double the FunShape It Up
Lizard Lines
Lesson 3: Throwing ShadeSeeking Solutions
Lesson 4: Working with ConstraintsQuilts

Module 3: Investigating Growth and Decay

Topic 1: Introduction to Exponential Functions

Lesson 2: The Power WithinCarlos’s Fish

Topic 2: Using Exponential Equations

Module 4: Describing Distributions

Topic 1: One-Variable Statistics

Lesson 2: A Skewed RealityFinding Desmo

Module 5: Maximizing and Minimizing

Topic 1: Introduction to Quadratic Functions

Lesson 1: Up and Down or Down and UpQuadratic Visual Patterns
On the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 2: Endless Forms Most BeautifulParabola Zapper
Two for One
Shooting Stars
Lesson 4: You Lose Some, You Lose SomeSorting Relationships

Topic 2: Solving Quadratic Equations

Lesson 4: The Missing LinkSquare Tactic
Lesson 5: The Quadratic FormulaStomp Rockets in Space

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

Amplify Desmos Math high school (AGA, Integrated 1–3)

Welcome to Amplify Desmos Math! Below, you’ll find links to sample lessons, scope and sequence, and more information about our AGA and Integrated high school math programs.

Algebra 1, Geometry, Algebra 2, and Integrated 1 are available for Beta implementations and pilots in 2025–26. Integrated 2–3 will be available for the 2026–27 school year.

A collage of educational software screens, featuring Desmos Math with vibrant graphs and animations, amplifies mathematical comparisons alongside engaging plant growth simulations. Perfect for educators in New York math classrooms seeking dynamic learning tools.

About the program

Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students.  The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

Screenshot of an educational activity page using Amplify Desmos Math to present a function machine and a table for calculating outputs of ( h(x) = f(x + 2) ) with given inputs for ( x ), offering an engaging approach to New York math standards.
The geometry activity screen features a circle with intersecting lines and a shaded area. Instructions prompt users to explore Sam's construction and determine if a square was formed, all enhanced by the innovative tools of Amplify Desmos Math.

Structured approach to problem-based learning

  • Easy-to-follow instructional guidance
  • Robust assessments and reports
image of Amplify Desmos Math

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has compatible print and digital materials for a collaborative classroom
Screenshot of a design challenge interface from Amplify Desmos Math, featuring overlapping purple circles. The left shows 3 circles, and the right displays 5. Task: match the two designs as if solving a New York math puzzle.

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking
A chart titled "Scope and Sequence" for Algebra 1, Geometry, and Algebra 2, with colorful units and topics, overlaid by an illustration of lab equipment with a gauge and liquid.

Scope and sequence

Click the link below to view the program scope and sequence.

Preview lessons

Check out the links below to explore our interactive digital lessons. Download a navigation guide for tips on navigating the print and digital program components.

A laptop showcases a mathematical graph using Desmos Math, amplifying the learning experience. Behind it lie two papers with printed graphs and text, reflecting a bustling New York math classroom environment.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

  • Live chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our toll-free number: (800) 823-1969.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.

Ready to learn more?

High-impact, evidence-based programs that help students make gap-closing gains in reading and math

Amplify Tutoring engages students and drives measurable academic gains. We partner with districts to ensure that children become confident, proficient readers and mathematical thinkers.

A student and an adult sit at a table, both looking at a laptop screen. The background features blue and yellow geometric shapes with a star icon.

About Amplify Tutoring

Grounded in evidence-based practices and taught by caring, consistent tutors, our high-impact tutoring programs use high-quality instructional materials and data-driven mCLASS® products to support and engage students.

  • Personalized, data-driven instruction
  • Research-backed solutions tailored to support your Multi-Tiered System of Supports (MTSS) framework
  • Customizable—before, during, or after school; year-long, semester-long, and summer programming
  • Comprehensive, hands-on program management and staffing support

Amplify Literacy Tutoring supports K–6 readers through engaging, systematic instruction aligned to the Science of Reading and driven by mCLASS DIBELS® data.

Amplify Math Tutoring accelerates student achievement in grades 3–5 and builds students’ confidence in speaking, writing, and thinking mathematically.

More than a program: a true partner

Hear directly from district leaders and educators who’ve experienced the Amplify Tutoring difference. In these candid conversations, they share how we partner to deliver solutions for schools, gains for students, and support for teachers.

What district leaders and teachers are saying

“Students’ enthusiasm for Amplify Tutoring is evident! From the moment they sit down for their session, you can see how motivated and engaged they are while working with their tutor and peers. … It is very helpful that the tutors provide real-time feedback to students, and it has allowed them to be more confident and committed to their own learning paths.”

—Jennifer Quartano, Teacher, NYC Public Schools

What district leaders and teachers are saying

“There has been an increase in many students’ scores. The students are always excited to participate and the small group instruction truly is making a difference … I am passionate about reaching students who require support. This initiative was very much needed in our school. Thank you, Amplify Tutoring!”

—Denise Bishop, Assistant Principal, Prince George’s County Public Schools

What district leaders and teachers are saying

“I appreciate the support and quick response we have received from Amplify Tutoring this year. We have seen lots of growth with our fourth graders with phonics, decoding, vocabulary, and comprehension that we likely would not have seen without the program!”

—Heather Wasburn, Instructional Coach, Springfield City Schools

Bar chart showing that students with 2–3 literacy tutoring sessions per week outperform national growth norms across grades K–5, compared to students not in tutoring.
Bar chart showing percent correct in performing multi-digit arithmetic for Grades 3, 4, and 5 before and after Amplify Math Tutoring; scores improved in Grades 4 and 5 after tutoring.

Our impact

Amplify Tutoring accelerates learning for students who need it most. Students in Amplify Tutoring are more likely to achieve outsized academic gains than similarly at-risk peers in the same schools who are not enrolled in the program.

A hexagonal badge labeled "National Student Support Accelerator Tutoring Program Design, Amplify Tutoring 2024-2027," recognizing high impact tutoring programs that boost reading competency.

Amplify Tutoring has been awarded the National Student Support Accelerator (NSSA) Tutoring Program Design Badge by Stanford University!

Learn more

Reliable, easy-to-read data

With valid and reliable mCLASS assessments and real-time reporting always within reach, everyone involved in a child’s learning journey—from teachers and tutors to school leaders and families—can support student growth.

  • Teachers have visibility into students’ data and all tutoring lesson content.
  • School and district administrators receive regular tutoring attendance and progress-monitoring reports.
  • Caregivers receive Home Connect letters and activities to help their child practice foundational skills at home.
Screenshot of mCLASS Home Connect dashboard displaying reading assessment data, scores, and activity details with charts and text descriptions.

High-quality instructional materials that power Amplify Literacy Tutoring

Amplify Literacy Tutoring includes high-quality resources to support students’ growth.

Targeted lessons generated by precise data

mCLASS Intervention is a research-backed, ESSA rated program that targets instruction based on students’ mCLASS DIBELS 8th Edition assessment results. With engaging lessons aligned to the Science of Reading that adapt based on students’ progress monitoring results, mCLASS Intervention streamlines time-consuming data analysis for teachers and makes sure that tutoring focuses on the literacy skills students need.

A line graph displays students' letter-sound fluency scores from June to May, showing progress toward a custom goal of 90, with benchmark and performance data points.
A screenshot of the mCLASS Reading assessment dashboard showing student scores, benchmarks, and assessment categories for Bolton Grade 1.

Transparency into student performance

mCLASS DIBELS 8th Edition is our nationally normed benchmarking and progress monitoring assessment tool to measure students’ foundational literacy skills. Students take the benchmark assessment three times a year and progress monitoring occurs every 7–10 lessons in between.

Proven impact for students who need it most

Boost Reading delivers targeted, adaptive practice that meets students where they are, while teachers get simple and meaningful insights into student progress. The program consistently moves students toward grade-level proficiency with just 30 minutes of use per week. Students can continue learning through Boost Reading between tutoring sessions or at home.

High-quality instructional materials that power Amplify Math Tutoring

Amplify Math Tutoring includes high-quality resources to support students’ growth.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Mini-Lessons provide targeted intervention for students who require additional support or need more time. These lessons are aligned to the most critical topics throughout a unit; they enhance conceptual understanding while improving procedural fluency and application.

Two overlapping math worksheets on a white background with blue and orange squares; worksheets show graphs, equations, and instructional text about graph rotations.

Valuable insights into student mathematical thinking

mCLASS Math is our benchmarking and progress monitoring assessment tool. Students take the benchmark assessment three times a year; progress monitoring occurs every 7–10 lessons in between.

Personalized practice—anytime and at home

Fact fluency practice provides students with regular practice beyond rote memorization. The program is used during tutoring sessions and is available on non-tutoring days. Students also have access to Boost Math’s independent learning activities, to continue practicing between tutoring sessions or at home.

A woman and a boy sit at a table, looking at a tablet together. The background includes blue and orange graphic elements with a clipboard icon.

Consultation and collaboration

Amplify Tutoring tailors our support for educators, schools, districts, caregivers, and state-level leaders, helping to realize the promise of high-impact tutoring programs. Through collaborative partnerships at every level, Amplify Tutoring engages communities in driving academic improvement and boosting attendance.

Our services can include:

Program design consultation: Amplify Tutoring offers expert program design consultation services to help schools and districts create effective and scalable high-impact tutoring programs.

Tailored onboarding: We provide customized training sessions for school, district, and state leaders, ensuring that Amplify Tutoring services are integrated smoothly into existing systems.

Ongoing professional development and coaching: Our program management includes continuous training, coaching support, and office hours with pedagogical experts to fortify the program’s success and adaptability.

Caregiver engagement: We offer resources and support for families and caregivers, including tips for at-home support, helping them stay informed and involved in their child’s progress.

Seamless communication and support: We provide transparent communication and engage all stakeholders—district and school leaders, teachers, caregivers, and students—to keep everyone aligned and informed.

Data reporting: We provide detailed reports and analytics to district and school leaders, giving them the power to monitor progress, make data-driven decisions, and celebrate successes.

Amplify Tutoring is part of a connected early literacy and math suite.

Our literacy and math suite programs are designed to support and complement each other in a Multi-Tiered System of Supports (MTSS). Learn more about our related programs.

Welcome, Palm Beach reviewers!

We’re honored to introduce you to Amplify Desmos Math Florida, and confident this comprehensive program will be a powerful tool in classrooms across your district.

Please start with the video on the right to learn more.

Next, view this video for an in-depth look at a lesson from both the Teacher and Student Editions.

Algebra 1 course

Visit http://learning.amplify.com/.

To further support your review.

Select Log in with Amplify and use the login credentials in your submission documents.

Illustration of diverse people exploring math graphs; some interact with 3D graphs on land, others observe underwater, on the cover of “Amplify Desmos Math Florida Algebra 1 Teacher Edition.”.
Amplify Desmos Math Florida Algebra 1 Teacher Edition

Volume 1

ebook

PDF

Cover of "Amplify Desmos Math Florida, Algebra 1 Volume 2 Teacher Edition," showing people exploring math concepts on land and underwater with graphs and equations.
Amplify Desmos Math Florida Algebra 1 Teacher Edition

Volume 2

ebook

PDF

Cover of "Amplify Desmos Math Florida Algebra 1: Assessment and Lesson Resources" featuring a large 3D letter "A" and a list of included materials.
Amplify Desmos Math Florida Algebra 1 Assessment and Lesson Resources

ebook

PDF

Cover of "Amplify Desmos Math Florida Algebra 1 A1: Intervention and Extension Resources" featuring a large 3D letter "I" and informational text boxes.
Amplify Desmos Math Florida Algebra 1 Intervention and Extension Resources

ebook

PDF

Cover of "Amplify Desmos Math Florida Algebra 1 Ancillary Sampler" showing geometric shapes and a list of included resources for additional math practice and language development.

Amplify Desmos Math Florida Algebra 1 Additional Practice and MLDR Sampler

PDF

Cover of a math textbook showing students interacting with mathematical graphs and scuba divers exploring coral reefs, with the title "Amplify Desmos Math Florida Student Edition A1 Volume 1.
Amplify Desmos Math Florida Algebra 1 Student Edition

Volume 1

ebook

PDF

Cover of a math textbook showing people interacting with large 3D geometric graphs and a parabola, with some swimming underwater and others working above. Text reads “Amplify Desmos Math Florida A1 Volume 2.”.
Amplify Desmos Math Florida Algebra 1 Student Edition

Volume 2

ebook

PDF

Amplify Desmos Math Florida
Algebra 1 Spanish Student Edition Sampler

PDF

Other publishers say they have “Desmos.” What’s the difference between what Amplify has and what they have?

Logo with the word "Amplify" in orange font and "desmos" in gray font, separated by a vertical line on a light background, perfect for teacher awards or to nominate a teacher for an award in early literacy.

If you’ve been in the math world for a while, you know the name Desmos. It’s synonymous with free dynamic math tools.

And lately, you’ve probably also been hearing about Amplify and Desmos together. But other publishers also say they have Desmos, so what’s the deal?

Let’s clear it up.

The most important thing to know is that, back in 2022, the original Desmos split into two separate parts. Think of them like a calculators and other tools part and a classroom activities and curriculum part.

The tools part: Desmos Studio

This is the Desmos you first fell in love with.

What it is: Desmos Studio is the name of the company that builds and maintains the powerful, free Desmos calculators. This is an independent Public Benefit Corporation, and can be found at www.desmos.com. That team builds and maintains a collection of free math tools:

Six colorful icons represent types of calculators—Graphing, Scientific, Four Function, Matrix, Geometry, and 3D—each featuring a distinct mathematical symbol. Perfect for desmos math enthusiasts and edtech companies alike.

What it’s for: This is your go-to for exploration, demonstrations, and “What if I change this?” moments. It’s the blank canvas you use on your smartboard or the tool your students use for homework.

The bottom line: The calculators are run by an independent company called Desmos Studio PBC. You can find their tools for free at their website, desmos.com; on state tests; and in curriculum programs (including ours).

A Desmos graphing calculator displays the quadratic function y = 2x^2 - 3, showing a parabola opening upwards with its vertex at (0, -3)—a great example of how edtech companies like Desmos Math enhance classroom learning.

The lessons: Amplify Classroom & Amplify Desmos Math

What it is: In 2023, Amplify acquired the Desmos instructional platform (then called Desmos Classroom, now called Amplify Classroom) as well as their math curriculum for grades 6–8 and the teams that built those resources. We had already been working on our own math curriculum, decided to combine forces with the Desmos curriculum team, and created Amplify Desmos Math, now available for grades K–12.

When other publishers may talk about having “Desmos,” what they mean is they license the calculators and Geometry tool from Desmos Studio.

What it’s for: Amplify has these tools, too, but we also have the Activity Builder, which integrates these tools much more deeply than is possible with other Desmos Studio partnerships. We take this powerful Desmos technology and layer instruction, student collaboration, and dynamic teaching tools on top, creating classrooms that buzz with excitement and learning.

What’s available for free:

  • The “Desmos activities” platform (you might know it from teacher.desmos.com), now Amplify Classroom. This is where you can find hundreds of free lessons and activities. You can also use the Activity Builder tool to create your own custom activities from scratch.
  • The beloved, pre-built “Activity Builder” activities like “Marbleslides” and more are still available for free on Amplify Classroom.

The bottom line: Educators can still use the vast library of free activities and build their own on Amplify Classroom. This is not changing.

A grid-based puzzle inspired by Desmos Math, where you guide a green ball to a yellow star by entering coordinates in the answer box, offers an engaging approach popular among edtech companies.

The core curriculum: Amplify Desmos Math

This is the new, comprehensive curriculum available to districts and schools.

What it is: This is a full core math curriculum for grades K–12 that Amplify has built in collaboration with the Desmos curriculum team that joined us a few years ago. It uses the Desmos instructional philosophy and tools as its backbone, but it’s much more than a collection of activities.

What it’s for: This program is designed to be your primary, day-to-day curriculum. It includes a complete, standards-aligned scope and sequence, print materials, digital lessons (with activities enhanced and aligned to standards), assessments, intervention resources, and personalized practice.

The bottom line: If you want a complete curriculum in which every lesson is built on polished Desmos-style activities, you want Amplify Desmos Math K–12. This core curriculum is offered exclusively by Amplify.

Two-page educational lesson plan titled "Can You Dig It?" covering positive and negative numbers, with objectives, vocabulary, standards, and a step-by-step activity inspired by the Desmos math curriculum.

Quick-reference chart

What is it?Where to find it?Cost
Desmos Studio ToolsPowerful math tools and calculators (graphing, scientific, etc.) for graphing, calculations, and geometry visualizations.
Access via desmos.com or embedded in partner productsFree
for individual use
Amplify ClassroomA teaching and learning platform that couples Desmos Studio tools with instruction and collaboration tools

– Rich activities and lessons that develop understanding with Responsive Feedback

– Collaboration and facilitation tools designed for the classroom

– Student ideas used to build new problems and scenarios

Browse free activities and lessons or build your own with Activity Builder.
Only available from Amplify at amplify.com/classroom
(previously Desmos Classroom)
Free
Amplify Desmos MathA comprehensive K–12 math curriculum built on the Amplify Classroom platform

– Ready-to-teach print and digital curriculum built on the Amplify Classroom platform

– Comprehensive coverage of all standards without the searching.

– Additional support for your classroom, including assessment, differentiation, practice, professional development, and more.
Try lessons for free on Amplify Classroom

Contact us for more information on purchasing for your district
With a paid subscription

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Families and caregivers, welcome to Amplify Desmos Math California K–5!

Welcome to the Amplify Desmos Math California K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math California at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math California address blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math California classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math California lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math California offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math California? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Welcome, Florida reviewers!

We’re honored to introduce you to Amplify Desmos Math Florida. We’re confident that this comprehensive program will be a powerful tool in classrooms across the state.

Please start with the video on the right to learn more.

Algebra 1 course

Illustration of diverse people exploring math graphs; some interact with 3D graphs on land, others observe underwater, on the cover of “Amplify Desmos Math Florida Algebra 1 Teacher Edition.”.
Amplify Desmos Math Florida Algebra 1 Teacher Edition

Volume 1

eBook

PDF

Cover of "Amplify Desmos Math Florida, Algebra 1 Volume 2 Teacher Edition," showing people exploring math concepts on land and underwater with graphs and equations.
Amplify Desmos Math Florida Algebra 1 Teacher Edition

Volume 2

eBook

PDF

Cover of "Amplify Desmos Math Florida Algebra 1: Assessment and Lesson Resources" featuring a large 3D letter "A" and a list of included materials.
Amplify Desmos Math Florida Algebra 1 Assessment and Lesson Resources

eBook

PDF

Cover of "Amplify Desmos Math Florida Algebra 1 A1: Intervention and Extension Resources" featuring a large 3D letter "I" and informational text boxes.
Amplify Desmos Math Florida Algebra 1 Intervention and Extension Resources

eBook

PDF

Cover of a math textbook showing students interacting with mathematical graphs and scuba divers exploring coral reefs, with the title "Amplify Desmos Math Florida Student Edition A1 Volume 1.
Amplify Desmos Math Florida Algebra 1 Student Edition

Volume 1

eBook

PDF

Cover of a math textbook showing people interacting with large 3D geometric graphs and a parabola, with some swimming underwater and others working above. Text reads “Amplify Desmos Math Florida A1 Volume 2.”.
Amplify Desmos Math Florida Algebra 1 Student Edition

Volume 2

eBook

PDF

Reveal Math

Grade 6

Module 1: Ratios and Rates

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

Module 2: Fractions, Decimals, and Percents

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

Module 3: Compute with Multi-Digit Numbers and Fractions

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

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

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

Module 5: Numerical and Algebraic Expressions

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

Module 6: Relationships in Geometry

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

Module 7: Relationships Between Two Variables

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

Module 8: Area

Module 9: Volume and Surface Area

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

Module 10: Statistical Measures and Displays

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

Grade 7

Module 1: Proportional Relationships

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

Module 2: Solve Percent Problems

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

Module 3: Operations with Integers

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

Module 4: Operations with Rational Numbers

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

Module 5: Simplify Algebraic Expressions

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

Module 6: Write and Solve Equations

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

Module 7: Write and Solve Inequalities

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

Module 8: Geometric Figures

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

Module 9: Measure Figures

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

Module 10: Probability

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

Module 11: Sampling and Statistics

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

Grade 8

Module 1: Exponents and Scientific Notation

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

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

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

Module 4: Linear Relationships and Slope

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

Module 5: Functions

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

Module 6: Systems of Linear Equations

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

Module 7: Triangles and the Pythagorean Theorem

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

Module 8: Transformations

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

Module 9: Congruence and Similarity

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

Module 10: Volume

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

Module 11: Scatter Plots and Two-Way Tables

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

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Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

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

Unit 5: 2-Dimensional Shapes

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

Unit 6: Understand Addition

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

Unit 7: Understand Subtraction

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

Unit 8: Addition and Subtraction Strategies

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

Unit 13: Analyze, Compare and Compose Shapes

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

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

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

Unit 3: Place Value

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

Unit 4: Addition within 20: Facts and Strategies

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

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

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

Unit 8: Meanings of Subtraction

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

Unit 13: Equal Shares

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

Grade 2

Unit 2: Place Value to 1,000

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

Unit 3: Patterns within Numbers

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

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

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

Unit 7: Measure and Compare Lengths

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

Unit 8: Measurement, Time and Money

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

Unit 9: Strategies to Add 3-Digit Numbers

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

Unit 11: Data Analysis

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

Grade 3

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

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

Unit 3: Multiplication and Division

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

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

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

Unit 6: Connect Area and Multiplication

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

Unit 7: Fractions

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

Unit 9: Use Multiplication to Divide

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

Unit 12: Measurement and Data

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

Unit 13: Describe and Analyze 2-Dimensional Shapes

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

Grade 4

Unit 4: Multiplication as Comparison

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

Unit 5: Numbers and Number Patterns

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

Unit 6: Multiplication Strategies with Multi-Digit Numbers

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

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

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

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

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

Unit 12: Decimal Fractions

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

Grade 5

Unit 2: Volume

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

Unit 3: Place Value and Number Relationships

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

Unit 5: Multiply Multi-Digit Whole Numbers

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

Unit 6: Multiply Decimals

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

Unit 7: Divide Whole Numbers

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

Unit 8: Divide Decimals

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

Unit 10: Multiply Fractions

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

Unit 13: Geometry

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

Grade 6

Module 1: Ratios and Rates

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

Module 2: Fractions, Decimals, and Percents

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

Module 3: Compute with Multi-Digit Numbers and Fractions

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

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

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

Module 5: Numerical and Algebraic Expressions

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

Module 6: Relationships in Geometry

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

Module 7: Relationships Between Two Variables

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

Module 8: Area

Module 9: Volume and Surface Area

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

Module 10: Statistical Measures and Displays

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

Grade 7

Module 1: Proportional Relationships

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

Module 2: Solve Percent Problems

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

Module 3: Operations with Integers

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

Module 4: Operations with Rational Numbers

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

Module 5: Simplify Algebraic Expressions

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

Module 6: Write and Solve Equations

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

Module 7: Write and Solve Inequalities

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

Module 8: Geometric Figures

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

Module 9: Measure Figures

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

Module 10: Probability

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

Module 11: Sampling and Statistics

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

Grade 8

Module 1: Exponents and Scientific Notation

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

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

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

Module 4: Linear Relationships and Slope

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

Module 5: Functions

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

Module 6: Systems of Linear Equations

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

Module 7: Triangles and the Pythagorean Theorem

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

Module 8: Transformations

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

Module 9: Congruence and Similarity

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

Module 10: Volume

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

Module 11: Scatter Plots and Two-Way Tables

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

Disclaimer

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

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

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

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

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

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

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

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

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

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

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

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

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

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

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

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

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

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

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

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

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

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

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

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

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

Engaging digital and print math lessons for K–12 educators

Remember memorizing? That is, being a student in a math classroom focused mainly on teacher lectures, repetitive problem sets, and rote memorization?

Fortunately for today’s students, educators are increasingly recognizing that when it comes to math curriculum, engagement must come first—and that when it does, better learning outcomes follow. This shift toward student-centered, engaging math instruction is paving the way for deeper understanding, greater retention, and even a lifelong love of math.

Engaged students develop a deeper understanding of math concepts, retain information better, think critically, and are more likely to solve problems creatively. They tend to have a more positive attitude toward math, which reduces potential math anxiety and helps them build confidence. What’s more, access to engaging math programs promotes collaborative learning and the development of communication skills, supporting students in all classrooms (and beyond).

That’s why it’s important to find math products, activities, and instructional materials that center student engagement. Students need tools designed to not just teach them how to calculate, but also actively involve them in their own learning journeys, making math both meaningful and fun.

Free math lessons and more: Meet Desmos Classroom

Built by a dedicated team of math educators, Desmos Classroom is a free teaching and learning platform packed with interactive lessons that place student engagement at the center of instruction.

What are Desmos Classroom activities like in practice? Well, for starters, students take control of their learning! Students learn by interacting with mathematical representations, illustrations of the world, and their classmates. They represent their developing ideas with sketches, text responses, card sorts, number responses, multiple-choice questions, and more.

With a free account, you can access both customizable and pre-made Desmos Classroom—with new content appearing frequently for you to add to your lesson plans. An easy-to-use dashboard and real-time visuals allow you to monitor and react to student work. Creative teacher facilitation tools also help you promote collaborative and intentional classroom conversations. For example, the optional Anonymize feature reduces self-consciousness and competition, encouraging all students to participate and interact freely. Check out more examples below!

K–5 Lesson: Awesome Aquariums

A laptop screen displays a bar graph comparing aquarium animal numbers (goldfish, frogs, shrimp) with the prompt "Compare: How are the representations similar or different?" This visual aid is an integral part of comprehensive math programs designed to enhance analytical skills.

In the Awesome Aquariums activity, students experiment with bar graphs and tape diagrams to represent and compare the quantities of various aquatic inhabitants. Teachers guide students in a Notice and Wonder activity, with an optional Think-Pair-Share.

6–12 Lesson: DinoPops

A computer screen displays an educational activity about making scaled copies of DinoPops in different box sizes. Perfect for math teachers, the activity involves completing a table for box width and height.

In the DinoPops activity, students use proportions to understand what size boxes will fit (proportionally) varying sizes of Dino Pops. They’ll understand how graphs can represent proportional relationships, use graphs to make predictions, and use communications skills to describe and defend their work.

How you can get started

Create a free Desmos Classroom account at teacher.desmos.com, then check out the on-demand webinar Intro to Desmos Activities to learn how to assign a free pre-made lesson to students and use features such as anonymizing the class, pacing students during a lesson, and pausing classroom work to facilitate conversation. You can also register for another upcoming Desmos Classroom webinar to learn more about our full suite of math offerings, including our new, curiosity-driven K–12 program, Amplify Desmos Math.

NYC Solves Regents Prep A1

Hello NYC high school math educators!

Welcome to Amplify Desmos Math NYC Solves Regents Prep A1. This sequence of lessons is specifically designed for students who passed Algebra 1 in eighth grade but did not pass the NYS Regents exam in June. The instructional resources are accessed through the Amplify Desmos Math platform, affording students a highly engaging experience to prepare them for the January administration of the Regents by reinforcing conceptual understanding.

On this site, you’ll find a variety of resources to guide you in learning more about the course and how to get started.

Ready to jump in? This quick start guide will help you take the first steps to get started. Remember to use your NYCDOE email for access. 

Laptop displaying a math website called Desmos Math 6–A1, featuring an interactive exercise involving a sketch of a car and graphs.
amplify math middle schoolers in classroom

About Amplify Desmos Math

Amplify Desmos Math 6–A1 is based on the highly rated IM K–12™ curricula from Illustrative Mathematics, with extensive enhancements that include teacher supports, interactivity, assessments, and reporting.

The program is aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework.

Download the CR-SE alignment.

Your NYC Solves Regents Prep A1 course uses key lessons and activities from Amplify Desmos Math to prepare students for the A1 Regents.

NYC webinar series

Figuring out how to implement a problem-based learning approach to mathematics can be fun—and challenging. Rest assured that you will not be alone on this journey. Amplify will be by your side every step of the way. Our back-to-school math webinar series for K–8 administrators and teachers:

  • Introduces the new NYC Solves initiative.
  • Establishes the foundation for all educators to effectively understand and implement the NYCPS Shifts in Mathematics in their classrooms.
  • Provides an overview of Amplify Desmos Math, the pre-approved NYCPS curriculum chosen to ensure every school can successfully implement these math shifts and is supported with high-level, tailored professional development and coaching throughout the process.

Please see the specific webinars and the recordings below to learn more!

On-demand webinar 1
[Aug. 29 and Sept. 3, 2024]

Would you like to learn more about the NYCPS Shifts in Mathematics and enhance your understanding of each of the five shifts?

Explore how the NYCPS math shifts are transforming mathematics education from a procedural approach to a more engaging, discoverable, and connected learning experience.

Listen to the Understanding the NYCPS Shifts in Mathematics session recording.

On-demand webinar 2
[Sept. 10 and Sept. 12, 2024]

Let’s unpack the why, what, and how to unlock every student’s mathematical mind and build math proficiency for life! In this webinar, we discuss the power of teaching our children to be skilled mathematicians through a structured approach to problem solving

Listen to the Unlocking Mathematical Minds: A Structured Approach to Problem-Based Learning session recording.

On-demand webinar 3
[Sept. 17 and Sept. 19, 2024]

For some educators, transitioning to problem-based learning might seem daunting. There is often concern that its open-ended nature could derail students from achieving mathematical goals. However, by finding the right balance between open-ended opportunities and structured classroom activities, students can be encouraged to share their thinking while meeting key learning targets. Uncover simple shifts that educators can implement to foster open-ended student thinking while maintaining focus on mathematical instructional goals.

Listen to the Making the Shift to Problem-Based Learning session recording.

Live webinar 4
[Oct. 1 and Oct. 3, 2024]

Learn More and Experience Amplify Desmos Math LIVE, an NYCPS Approved Math Curricula.

This is the final session of the series. Amplify Desmos Math New York K–A1 is math that motivates! During this session, you’ll experience a Grade 6 lesson that captures the essence of NYC Solves.

Choose from two convenient times and register below:

Program features to know

Screenshot of an educational module titled "Balloon Float" on Desmos Classroom. It focuses on proportional relationships with tables and lists goals related to quantities, patterns, and numerical relationships.

Desmos Classroom digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve joined forces with Desmos Classroom to bring this vision to life with a complete library of interactive, collaborative lessons.

A screenshot of an educational software showing a turtle race. Users write equations for four turtles to determine their speed. Lane 4 is empty, waiting for an equation to be written. Graph and table included.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real-time allows students to see that communicating their ideas and learning from each other are important parts of math class.

Laptop screen displaying an illustrative mathematics pattern on a grid in a graphics editing software interface, with annotations and tool icons visible.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With our collaborative lesson interface and teacher dashboard, students stay engaged. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A screenshot displays a Pizza Maker educational tool. Four pizzas are shown, and a question about oven temperature for multiple pizzas is posed. Various student responses are visible below.

Ready-to-teach lessons

The two tracks for scope and sequence include ready-to-teach lessons to prepare students for the A1 Regents. Lessons come complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can also control what slides students see, giving teachers the ability to control the pace of the lesson to suit the needs of the class.

Planning for instruction

To start using the program quickly in your classroom, check out the following onboarding videos, guide, and planning resources. They cover what you need to know to get going fast.

Amplify Desmos Math Regents Prep Course Session I

NYC Solves Regents Prep A1 is customized specifically to meet the needs of students in ninth grade preparing for the Algebra 1 Regents exam. Within each document below, you’ll find the scope and sequence with course structure and lessons.

Screenshot of an educational website's dashboard, displaying colorful banners for math 6, math 7, math 8, and algebra 1 courses under the featured collections section.

Logging in to access the program

Login instructions:

Questions? Check out this Tech FAQ for more information.

Additional support:

A desktop screen displaying various educational graphs and charts, including trajectory and bar graphs, with icons and text details related to Desmos math lessons.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning in a lesson format that’s teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program is effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understanding.

Cover of "Amplify Desmos Math, Algebra 1, Teacher Edition" depicting students interacting with mathematical graphs and geometric shapes in a futuristic setting.

Algebra 1 [A1] Teacher Edition Sampler

LEARN MORE 

A math worksheet titled "Working Backwards" featuring a warm-up exercise involving a number machine, with a table to complete for different values of x and an illustration of machine operations.

Algebra 1 [A1] Student Edition Sampler

LEARN MORE 

Additional features

Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings students’ brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students are taught that they themselves are mathematicians, that today’s math has been shaped by a diverse range of mathematicians who deserve to be celebrated, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning: assessments. Amplify Desmos Math features a robust variety of formative and summative assessments, including readiness checks, exit tickets, quizzes, end-of-unit tests, and benchmarks aligned with New York State Next Generation Mathematics Learning Standards.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Reporting

Not only do our reports reveal progress toward standard mastery, they also include details on how students performed against the standard in the past and how many encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Looking for help?

Throughout your implementation, you can reach our support team by live chat, phone, or email Monday through Friday,
7 a.m. to 7 p.m. ET.

  • Chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our dedicated support line for NYCPS (888) 960-0380.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can help you find a solution.
A laptop screen displays an educational curriculum interface with a list of core units and colorful illustrated unit tiles for sixth grade ELA.

Amplify Desmos Math for San Diego

Hello San Diego math educators,

Welcome to Amplify Desmos Math! We’re confident you’ll find this to be a powerful and effective program for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in learning more about what Amplify Desmos Math has to offer. 

A laptop displays a math activity showing a dinosaur-shaped car on a grid and a tunnel with a height restriction sign and a tree.

Figuring out Problem-Based Learning

Figuring out how to implement a problem-based learning approach to mathematics can be fun and challenging. Rest assured that you will not be alone on this journey. Amplify will be by your side every step of the way.

In the short videos below, Fawn Nguyen (Amplify Math Specialist, Former Math Coach and Teacher) and John Hoogestraat (Desmos Product Specialist, Former Math Coach and Teacher) share their thoughts about the power of Amplify Desmos Math.

Promotional graphic with the text “Figure it out with Fawn and John” and photos of a smiling man and woman in circular frames.

Amplify Desmos Math: Supporting Math Practices

Amplify Desmos Math: Teacher Time-Saving Tools

Amplify Desmos Math: Capturing Student Thinking

Amplify Desmos Math: What a Classroom Looks and Sounds Like

About Amplify Desmos Math

Amplify Desmos Math, based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™, is designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day.

By joining forces with Desmos Classroom, Amplify is changing the conversation around math instruction—for both students and teachers.

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, collaborative problem-solving experiences both online and off.
  • Real-time insights that make student thinking more transparent.
amplify math middle schoolers in classroom

Program highlights

Taking the IM content further

Planning for instruction

To start using Amplify Desmos Math quickly in your classroom, check out the following onboarding videos, guide, and planning resources. They cover what you need to know to get started fast.

Onboarding videos and guides

Standards Correlation

Screenshot of an educational website's dashboard, displaying colorful banners for math 6, math 7, math 8, and algebra 1 courses under the featured collections section.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that is teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A desktop screen displaying various educational graphs and charts, including trajectory and bar graphs, with icons and text details related to Desmos math lessons.

Additional features

Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings their brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students will be taught that they themselves are mathematicians, that today’s math was largely shaped by a diverse range of mathematicians who deserve to be learned about, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning—assessments. Amplify Desmos Math will feature a robust variety of formative and summative assessments, including: readiness checks, exit tickets, quizzes, end-of-unit tests, benchmarks, and CAASPP practice.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Reporting

Not only will our reports show progress toward standards mastery, they will include detail on how students performed against the standard in the past and how many more encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Featuring Desmos Math 6–A1

Desmos Math 6–8 is based on the highly rated IM K–12™ curricula from Illustrative Mathematics. It has also earned a perfect all-green rating by EdReports.

Read the review on EdReports.

Unlike other IM-based lessons, ours require less prep and are easier to teach. Plus, our more visually rich activities and engaging on-ramps to learning make our lessons accessible to all students.

Digital educational slide adhering to the core curriculum, showcasing a fishbowl on a table, clock on the wall at 8:00, and window with curtains, next to a math problem about

Desmos Classroom digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve joined forces with Desmos Classroom to bring this vision to life with a complete library of interactive, collaborative lessons.

Screenshot of an educational module titled "Balloon Float" on Desmos Classroom. It focuses on proportional relationships with tables and lists goals related to quantities, patterns, and numerical relationships.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real-time allows students to see that communicating their ideas and learning from each other are important parts of math class.

A screenshot of an educational software showing a turtle race. Users write equations for four turtles to determine their speed. Lane 4 is empty, waiting for an equation to be written. Graph and table included.


Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With our collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

Laptop screen displaying an illustrative mathematics pattern on a grid in a graphics editing software interface, with annotations and tool icons visible.

Ready-to-teach lessons

Each grade-level includes 150 ready-to-teach lessons complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can also control what slides students see, giving teachers the ability to control the pace of the lesson to suite the needs of the class.

A screenshot displays a Pizza Maker educational tool. Four pizzas are shown, and a question about oven temperature for multiple pizzas is posed. Various student responses are visible below.


Looking for help?

Our chat agents are standing by to assist you!
Simply log in at learning.amplify.com and click the orange button in the bottom right corner to chat live with our support team.

Important to Note
Our support hours are Monday through Friday, 4 a.m. to 4 p.m. PT.

Don’t have a login yet?
Email us: help@amplify.com
Call us: +1 (800) 823-1969

A laptop screen displays a curriculum dashboard with a list of core units and colorful thumbnails for a sixth-grade ELA program.

Amplify Desmos Math
for New York

Welcome to Amplify Desmos Math, a powerful new core program from Amplify and Desmos Classroom built for NYC teachers and students.

Amplify Desmos Math is built on four core tenets:

  • Math can motivate students.
  • A structured approach to problem-based learning can best tend to all aspects of rigor.
  • Student thinking is valuable and visible.
  • Students can catch up while keeping up with grade-level math.
A teacher stands in front of a classroom, pointing toward a screen, while students with raised hands sit at desks with laptops, engaging with the core curriculum through Amplify Desmos Math.

What if your students asked to do more math?

Amplify Desmos Math lessons are powerful in their ability to elicit student thinking and spark interesting, productive discussions.

The lessons pose problems that invite a variety of approaches with their dynamic and interactive learning experiences on devices, as well as experiences on paper that are flexible, creative, and engaging.

As students work online, they interact with visuals and simulations that show their thinking and decisions. When appropriate, students see other students’ responses and engage in collaborative math discussions.

A Responsive Feedback feature responds to student thinking by showing the mathematical meaning behind it. This is more powerful than simply evaluating thinking as right or wrong, because it motivates and engages students in the learning process.

A grid-based puzzle showing a green ball at (-8, -8) and a yellow star at (5, 6); user is prompted to enter coordinates to reach the star.

In this Grade 6 activity, students internalize the coordinate plane by plotting points to navigate the marble through the maze to collect the star.

A blank coordinate grid is shown next to a list of coordinate pairs to plot, ranging from (–2, –9) to (3, –3). Instructions are to plot and connect each pair in order.

This prepares students to accurately and efficiently plot points with positive and negative coordinates on grids with different scales and explain the relationship between ordered pairs that differ only by the signs of the coordinates.

A yellow submarine with floats and anchors must be adjusted to reach and collect a star positioned at -3 units in the water. A table and "Check My Work" button appear to the right.

In this Grade 7 activity, students explore positive and negative integer operations using the up and down movement of a submarine.

Screenshot of a math problem asking for the new temperature in Beijing after it drops 5°C from –2°C, with a text box and a "Submit" button for the answer.

Students are then prepared apply this understanding in a variety of word problem contexts.

A math activity interface showing four lanes with turtles, labeled 1 to 4, on a track. A prompt asks to write an equation for the turtle in lane 4 to control its movement.

In this Grade 8 activity, students create rate, distance, and time equations based on turtle races.

A blank graph with cost in dollars on the y-axis and blueberries in pounds on the x-axis, labeled for a problem about blueberry pricing.

This prepares students to understand that a graph representing a proportional relationship is a line through (0, 0) and (1, k). They also begin to see connections between a context and features of a corresponding graph, equation, and table.

Data at your fingertips on the road to mastery

Digital assessment report with tabs for Reports, WAT, and Admin Reports. Displays classes, units, assessments, and scoring details for high and low-performing items, including raw scores.

1

Pre-Unit Checks show the range of student mastery for the entire class and identify strengths and needs by standard.

Two overlapping cards detail a math unit overview and learning goals, focusing on equivalent ratios and proportional relationships in tables, equations, and graphs.

2

In each unit, lessons are designed and sequenced to help students fully master critical standards and build computational fluency. Each lesson is part of a carefully constructed instructional sequence that scaffolds students’ cognitive mathematical development.

A math problem prompt is displayed above, with a table comparing orange and pineapple juice recipes below. Another box describes "7.2 Practice Day 1" learning goals.

3

Daily practice problems and frequent practice days reinforce concepts and build fluency.

Screenshot of an assessment report and instructions for Assessment Form A, highlighting score distribution, student performance, and requirements like blank paper and a calculator.

4

End-of-Unit Assessments and reporting analysis pinpoint students requiring remediation with specific standards and concepts.

Facilitate a collaborative, connected classroom community.

The powerful teacher facilitation tools in Amplify Desmos Math give teachers insight into student thinking in real time. Teachers can select student work to display and discuss quickly and easily, leading to better questions that guide more productive discussions.

Amplify Desmos Math helps guide the learning process by connecting students to each other and to an understanding that they can use math to make sense of the world. Students learn and collaborate in every lesson. Whether using print, digital, or a mix of both, students stay connected to each other’s ideas and thinking, fueling classroom conversations and a shared understanding of math.

Three students sit at a table in a classroom, smiling and looking at a laptop together, with notebooks and papers in front of them.
An illustrated Amplify Desmos Math textbook and a computer screen showing a digital math activity about making pizza ingredients.

Standards alignment

Amplify Desmos Math is customized specifically to meet the New York State Next Generation Math Learning Standards. Within each document below, you’ll find direct links to lessons and activities where each individual standard is addressed.

Grade 6 correlation
Grade 7 correlation
Grade 8 correlation

The program is also aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework. Download the CR-SE alignment.

Digital review

Ready to explore the program? To log in, click the orange “Review now” button below, select “Log in with Amplify” and use the following login credentials:

Username: t.nycadmsample-01@tryamplify.net

Password: AmplifyNumber1

To review Algebra 1 content from Desmos Math 6–A1, which serves as the foundation for Amplify Desmos Math, click this link after logging in using the credentials above.

Two illustrated math textbooks labeled Amplify Desmos Math for grades 7 and 8, shown above a laptop displaying a digital balance scale activity.
Two women in an office setting look at a computer monitor together, both appearing focused and engaged. One is seated while the other stands beside her.

Support

Throughout your review, you can reach our support team by email or phone. We are available any time over:

Live chat: Click the orange icon while logged in to get immediate help.

Phone: Call our toll-free number: (888)-960-0380.

Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can help you find a solution.

Celebrating our 2026 Activity Builder Spotlight Contest winners

Teachers in our community have built over a million activities in Amplify Classroom, and our annual Activity Builder Spotlight Contest helps educators across the globe discover these resources. Each year, teachers submit custom activities in one of two categories: Beginner (for users just starting their activity-building journey) or Pro (for those who’ve mastered Computation Layer or embedded advanced graphs to create student interactions). Our community votes on their favorites, and winners receive a prize plus permanent placement in our Featured Collection.

Meet this year’s winners! Try these incredible teacher-created activities in your classroom, or copy and edit them to fit your grade level(s) or unique classroom needs:

Fractions NF5-13 by Krystal Centinello

Students build conceptual understanding by interpreting a fraction as the division of the numerator by the denominator.

Balance This by Wes Overton

Using an interactive balance scale, students experiment with properties of equality and learn to solve equations with variables on both sides.

Exploring Expressions and Like Terms With Coins! by Michael Felias

By sorting coins and calculating their total value, students discover what expressions are and how to combine like terms.

The Accumulator Function by Pablo Garcia

This activity prepares students for the Fundamental Theorem of Calculus and applications of integration by introducing accumulator functions.

Bike Jumps! by Michael Bostick

This modeling activity introduces lines, parabolas, and rates of change through the context of bike jumps.

SWEEP! – Coding Introduction by Nathaniel Heading

This introduction to coding for beginners builds foundational skills in sequential thinking, functions, and loops.

Combining Like Terms (With Algebra Tiles) by Kayla Skidmore

Through visual algebra tiles, students learn to model expressions and practice combining like terms.

Coordinate Plane Darts by Richard Hung

Students sharpen their coordinate graphing skills through an engaging game of darts! The teacher dashboard will show a checkmark if students score at least one point in three rounds.

Metroid Trig by Matthew Stack

Students apply trigonometric ratios and the Pythagorean Theorem to calculate side lengths of right triangles.

Bath Time! by Bryn Humberstone

This activity takes students through real-world application of linear graphs exploring the relationship between bath volume and time.

Thinking about joining other Amplify Classroom users and building your own activity? Our on-demand Lesson Building Toolkit has bite-size tutorials to get you started.

This is one of the best things I have ever worked on.

A man in a white shirt is smiling in a circular frame, with illustrations of a person swimming and a submarine on a light blue background, capturing the lively spirit of Amplify Desmos Math and engaging classroom discussions.

Every discussion teaches kids about math—and about themselves.

Among many other reasons, discussions are important because they’re moments when the teacher assigns value to students. In a discussion, the teacher says, “Hey—I have precious little time to teach what I know. Still, I’m going to dedicate some of that time for you to share and talk about what you know.” That’s a moment when students learn about math, but also that their own ideas have value.

Discussions are difficult, and “more wait time” is rarely the reason.

There are a few reasons why discussions frequently fail, and it’s rarely because the teacher didn’t give students enough “wait time” to respond, as is commonly believed.

1. The question was hard to understand or find your way into. For a long time, I’d ask my kids at dinner, “How was your day? What happened?” And my kids wouldn’t have much to say. Lately, I ask them to tell me two things about their day that happened and one thing that didn’t, and we all guess which was which. It’s an easier prompt, one that kids can find their way into with ease and then use as a launching pad into a larger conversation.

2. There isn’t enough to talk about. If your math class consists of a lot of binary, right/wrong questions, what is there for anyone to talk about? “A lot of us got this one wrong. Here’s a pie chart that shows how wrong we were. How about I show you how to do it?” That’s fine, but it isn’t a discussion, and it’s quite often a very dreary classroom environment for children.

A digital dashboard displays multiple financial charts, graphs, and filters—including pie charts and bar graphs—similar to those used in Amplify Desmos Math for middle school math classroom discussions on project profitability and billing.

In Amplify Desmos Math, a curriculum I work on, kids generally have plenty to talk about. Our interactives stir a kid’s imagination for even the most abstract areas of math. For example, this submarine interactive stirs up a kid’s ideas about adding positive and negative integers.

A yellow submarine with five round windows, each filled with a blue dot—perfect for sparking classroom discussions in middle school math. Red and blue dots sit above and below the windows, plus an anchor and lightbulb icon on the left.

And then we ask kids, “Hey, what do you think about the star at +5? Can you come up with something that none of your classmates do?”

A digital lesson in Amplify Desmos Math shows a submarine at position 0 and a star labeled 5; instructions prompt students to collect the star using unique actions, sparking engaging middle school math classroom discussions.

Let me tell you: Kids accept that challenge.

3. There is too much to talk about.

This is a good problem to have, but it’s still a problem. In the class screenshotted below, 25 students have put 300 thoughtful words in front of the teacher, every response different from every other!

A highlighted text box shows Sofia Kovalevskaya saying, "I want to add 1000 floats and then 995 anchors!!!" against a background of faded text—perfect for sparking middle school math classroom discussions with Amplify Desmos Math.

Teachers now have a problem of abundance, not scarcity. They have to decide which responses to select, and why, in an environment of cognitive overload.

This is very hard work for teachers, especially novices, especially teachers who lack mathematical content knowledge, especially teachers who are hanging onto the school year by their fingernails.

We offer teachers lots of different support for discussions throughout our curriculum—both in print and digital activities—but our new discussion support for digital activities is first-of-its-kind and best-in-class.

Discussion Moments.

  1. Student responses stream into the teacher’s dashboard.
  2. A message appears: “Analyzing Student Responses.”
  3. Shortly after, the message changes: “Open Discussion Moment.
A green banner with the text "Analyzing student responses" and two sparkles, next to a gray computer monitor icon—perfect for facilitating Classroom discussions in middle school math with Amplify Desmos Math.

You click the message and see a classroom-ready discussion screen.

A submarine aims for a star 5 units up; students suggest combinations of floats and anchors to reach it. Amplify Desmos Math sparks engaging classroom discussions as a sidebar asks, "Are they all correct?.

First, you see four student responses, each one authored by a student in the class, each one interesting on its own. This was not luck. Those responses were curated by a large language model at the direction of our curriculum experts. “Find three responses that capture the star in different ways,” our experts prompted the AI. “Responses that add anchors. That remove anchors. Find one response that might not capture the star.”

Next to those responses you see a question: ”Which one is not like the others?” That question feels surprisingly well-matched for this math and for those student responses. This, also, isn’t an accident. Curriculum experts made that decision.

You click the right arrow and see a suggested narration for the Discussion Moment, narration which was authored, again, by our human authors for this particular problem, to help novices learn to facilitate productive discussions in math.

That’s a “Discussion Moment.”

In the past, coaches, experts, and publishers have all asked teachers to . . .

  • Select and sequence student responses.
  • Construct a student-facing discussion resource.
  • Lead the conversation.

Now we are asking teachers to . . .

  • Lead the conversation.

In our experience, computers do quite well with the first two jobs while teachers obliterate computers at the work of leading a conversation, at connecting student ideas, at asking one kid what they think of another kid’s idea, at pulling ideas out of a kid who maybe doesn’t think they have ideas to offer. Discussion Moments delegate to humans and computers the best work for each of them.

Discussion Moments are different.

Lots of edtech companies are putting AI to work in lots of different ways. Discussion Moments are unique.

First, they’re designed to work through rather than around the teacher, during class rather than outside of class. They’re designed to support social interactions between students and teachers in the moment of instruction. This is the action.

Second, this is a classroom-ready resource. So many AI applications just output a ChatGPT-style resource. Lots of text. Several main bullets. Lots of sub-bullets. An emoji or two. And I am very sorry, but they are not useful in class. The teacher has to read all of that text, copy and paste and edit it, and then construct the student-facing resource all in the middle of class. That’s fantasyland, folks. At Amplify, we have, instead, created a one-click, classroom-ready resource.

Third, we’ve fortified these digital Discussion Moments with gallons of human expertise. Since December, I’ve worked with several of our curriculum experts—Casey Nelson, Brian Kam, and Tom Snarsky—and for every problem across several units of middle school math, they:

  • Reviewed thousands of student responses to each problem.
  • Identified thematic trends in the student responses.
  • Decided whether or not those themes demand a discussion.
  • Decided which of several discussion frames would be most appropriate, given those themes.
  • Wrote an AI prompt specific to each problem to increase the odds that the large language model will curate useful student responses.
Screenshot of code-like text outlining three criteria for student responses, with bolded and underlined terms, labeled "human authored" at the top—ideal for guiding classroom discussions in middle school math or Amplify Desmos Math activities.

Most edtech companies would prefer to let AI lead this process from end to end, using the same prompt for every problem, even at the cost of the teacher and student experience. Meanwhile, we only ask AI to execute instructions and construct a resource. The nature of those instructions, the type of resource, and how it’s used—that is all determined by different humans and their expertise.

What do teachers and administrators think?

I ran a small-scale pilot of this feature last spring and kicked off a larger-scale pilot last week. A couple hundred teachers overall. I have never had an easier time recruiting teachers for a project than with this one. Every district math curriculum lead knows how challenging it is for teachers to lead discussions, and every one I asked was eager to support.

Two other examples of Discussion Moments.

Compare and Connect. We asked a large language model to locate responses that have one of a couple of important features but ideally not both. Then we constructed a Discussion Moment asking students to write a response that combines the best of both answers.

A scatter plot titled “Radius vs. Area” from Amplify Desmos Math prompts classroom discussions about proportional relationships, as middle school math students compare line types and notice the points do not form a straight line.

Critique, Correct, Clarify. Our curriculum authors noticed a frequent incorrect answer to a question. We told the LLM to watch out for it and frame it in a Discussion Moment where the class is asked to find value in the wrong answer before correcting it. Try to imagine what it does to a kid to hear their incorrect answer described as valuable.

A graph displays a purple straight line with negative slope crossing the y-axis at 4 and the x-axis at 8; text explains the equation y = -1/2x + 4, perfect for middle school math or engaging Amplify Desmos Math classroom discussions.

Wait—don’t you hate AI?

I get why you might ask me that, but no. I think generative AI is perhaps the most overrated education technology of my lifetime; I don’t think the chatbot tutors or lessonslop generators are going to transform K–12 education. But I do think generative AI is neat. And look, I have tried to support discussion work with K–12 teachers for the last ten years in other ways, too. I have run in-person and remote PD. I have written math lessons and teacher supports for those lessons. I have sent nifty little customized email sequences tailored to teacher usage. None of those supports have been as promising as AI is here. None of them has moved the needle like Discussion Moments because none of them has been able to meet teachers in their moment of need, at the point of use.

That’s it. You can find Discussion Moments in Amplify Desmos Math next school year.

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Keep reading to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Continue reading to learn more about the K–8, Algebra 1, and Math 1 programs and to explore sample materials. (Spanish, TK and high school materials are in development and will be available in the 2026–27 school year. Geometry and Algebra 2 beta pilots will be available in the 2025–26 school year.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Screening and progress monitoring

mCLASS Math benchmark assessments, along with the embedded program assessments, measure not just what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and multilingual/English learner support, Amplify Desmos Math California enables every student to find success in the math classroom.

A digital math activity asks users to choose a block that makes 10 with a given number; a worksheet shows a similar "make 10" math exercise with blank spaces to fill in.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized Learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

Two pages of a math worksheet and teacher’s guide about determining coordinates after a rotation, featuring diagrams, tables, and step-by-step problem-solving instructions.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use
student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how
    to respond.
  • Clear learning objectives to keep learning on
    track for each activity and lesson.
  • Daily reinforcement activities to provide direct
    instruction when needed.
A woman writes on a whiteboard using math teaching resources while a man sits at a desk, smiling. There are books and papers on the desk.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between them. The grade-level diagram changes through the course based on the math concepts addressed within.

Please refer to the following Keeping the Big Ideas at the Center documents to review specific lesson designs and alignments with the Big Ideas for each grade level.

Click here to see how the Big Ideas are represented within the K–8 core lessons.

Focus, coherence, and rigor

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations—from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded in the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.

Please refer to the following Amplify Desmos Math California alignments to the Standards for Mathematical Practice, provided by grade level.

A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed to promote an inclusive and differentiated learning environment—allowing all students to access basic mathematical concepts, while offering advanced exploration and problem-solving for those ready for more complex work.

Our innovative course-level investigations are designed to facilitate multi-part exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, giving students a solid foundation from which to interpret and apply data-driven solutions. They’re also encouraged to understand and appreciate the interrelatedness of Earth’s environmental systems via our lesson’s focus on the Environmental Principles and Concepts (EP&Cs).

Explicit support for multilingual/English learners

Three overlapping educational worksheets for first grade math, including a cover page, a list of learning goals, and a lesson plan with bilingual English and Spanish text.

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual/English learners (ML/ELs). ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resources have level ELD differentiation to support all levels of ML/ELs. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Our Multilingual Glossary includes, in addition to Spanish, nine languages: Simplified Mandarin, Tagalog, Vietnamese, Arabic, European French, Russian, Brazilian-Portuguese, Haitian-Creole, and Urdu.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Elementary review resources

To learn about the elementary program, please start by watching the Amplify Desmos Math California Elementary Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Elementary Program Guide.

View the Elementary Program Components Guide here. 

View the Hands-on manipulatives brochure here.

Middle School review resources

To learn about the middle school program, please start by watching the Amplify Desmos Math California Middle School Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Middle School Program Guide.

View the Middle School Program Components Guide here.

View the middle school manipulative kit components here.

The digital experience

In Amplify Desmos Math, embedded interactions and animations allow students to test predictions, get feedback, share ideas, and connect representations.

The digital interactions included in lesson activities are designed to elicit student thinking in a way that feels fun and inviting. As students play and explore math concepts, teachers can highlight the ideas that students share, connect those ideas to other students’ ideas, and build on their thinking through productive class discussion.

Watch the video to preview the digital experience and for helpful platform navigation tips.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Explore grade level samples

All lessons in Amplify Desmos Math California include print materials and rich digital experiences. Every lesson is supported with Student Edition pages, teacher presentation screens, and interactive digital resources for practice and differentiation. Some lessons also enable students to use devices to interact with lesson content.

You’ll find sample materials by grade level in the following drop-downs. Please refer to your physical samples and the digital platform (accessed through the demo account provided by your account executive) for a comprehensive program review.

Scope and Sequence

Math 2–3 is currently being developed and will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Teacher Edition GEO Volume 1" featuring abstract geometric illustrations and people engaged in mathematical activities.
Scope and Sequence (National Edition)

The Amplify Desmos Math Geometry Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Geometry will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Geo Volume 1 Student Edition" featuring geometric shapes and small illustrated people interacting with mathematical elements.
Geometry sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Cover of "Amplify Desmos Math California A2 Teacher Edition," featuring a Ferris wheel, math graphs, and students interacting with mathematical concepts.
Scope and sequence (National Edition)

The Amplify Desmos Math Algebra 2 Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Algebra 2 will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Student Edition A2 Volume 1" featuring mathematical graphs, a Ferris wheel, and students interacting with math concepts.
Algebra 2 sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Contact us

For questions, samples, or more information, please contact your local Amplify account executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com

Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com

Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com

Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com

Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com

San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com

Riverside and L.A. County
Brian Roy
Senior Account Executive
(818) 967-1674
broy@amplify.com

San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com

Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com

Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

Welcome to Amplify Desmos Math!

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A curiosity-driven K–12 program that builds lifelong math proficiency

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each math lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

What is Amplify Desmos Math?

Amplify Desmos Math supports teachers in building students’ lifelong math proficiency. The program:

  • Supports social classrooms, invites mathematical creativity, and evokes wonder, creating a welcoming learning space where students are empowered to see themselves and their classmates as having brilliant mathematical ideas.
  • Provides teachers with clear, step-by-step moves to build systematically from students’ prior knowledge to grade-level learning.
  • Connects students to each other’s thinking and to an understanding that they can use math to make sense of the world.
  • Enables access to grade-level understanding for every student, every day.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

Data informs instruction. Comprehensive student profiles provide full data on students’ assets and skills, empowering teachers to provide just-in-time scaffolds throughout core instruction and targeted intervention when needed.

Educational software interface featuring a New York math problem about measuring platform heights using a 9-inch tube, illustrated with a playful, colorful design.

Experience Amplify Desmos Math

Click the links below to explore our interactive digital lessons, where you’ll also find print Teacher Edition and Student Edition pages for each lesson.

For helpful navigation tips and more program information, download our Grades K–5, Grades 6–Algebra 1, and Grades 9–12 program guides.

You can also watch a product expert walk through a lesson and the available program components with a lesson walkthrough video.

Diagnostic screening and progress monitoring assessments

Integrated mCLASS® Assessments go beyond accuracy to reveal students’ math thinking through an asset-based approach. This data provides better insights about what students know, what math assets to leverage, and where students need support.

A laptop displays a math problem with illustrated students and a virtual keyboard. Behind it, a chart shows percentages for a Math 2 Beginning-of-Year Screener assessment.

Personalized learning and support

Amplify Desmos Math includes digital, adaptive practice that provides the personalized support a student needs to access grade-level math every day. Boost Personalized Learning activities target a skill or concept aligned to the day’s core lesson, with each student receiving personalized scaffolds based on what they already know. This technology complements daily learning and provides another layer of support to the in-lesson differentiation and instructional guidance provided to teachers. Click here to try a Boost Personalized Learning activity. More activities coming soon!

The Fluency Practice of Amplify Desmos Math uses an evidence-based approach to memory retention—spaced repetition—for the basic operations. Students around the world have answered more than 120 million multiplication questions within our application. Try it now! 

Contact us

Support is always available. Our team is committed to helping you every step of the way. Contact your dedicated Indiana representative here for program access, samples, and additional information.

A woman with long brown hair and a white top smiles at the camera in front of an orange background, showcasing her passion for the Science of Reading and dedication to Indiana middle school education.

Elizabeth Sillies Callahan

Southern IN
(513) 407-5801

A woman with long brown hair and blue eyes smiles gently at the camera. The background is a light purple circle, reflecting her passion for the Science of Reading and dedication to Indiana middle school education.

Jody Kammer

Central IN
(310) 402-7837

Woman with long brown hair, large black glasses, and a nose ring, wearing a striped shirt and dark blazer, posing in front of a neutral background—professional style suited for the Indiana Department of Education.

Amanda Knipper

Northern IN
(260) 894-5123

A woman with wavy red hair and blue eyes, dressed in a purple turtleneck, smiles at the camera against a dark background—reflecting the approachable spirit of Indiana middle school teachers.

Paige Lawrence

District enrollment below 1200
(980) 421-2608

K–12 education podcasts

Amplify is proud to showcase cutting-edge research and insights in K–12 education. Explore our popular podcasts in literacy, math, and science; learn from top thought leaders and educators; and discover cross-disciplinary insights to support your instruction.

A podcast cover with the text "Science of Reading Podcast" and "Amplify" on a yellow background, featuring an open book and simple graphic elements. Find it on the Amplify Podcast Hub for more science connections podcasts.

Science of Reading: The Podcast

Science of Reading delivers the latest insights from researchers and practitioners in early reading. In each Science of Reading episode, host Susan Lambert, Ed.D., Amplify’s chief academic officer of elementary humanities, explores the increasing body of scientific research around how reading is best taught.

Beyond My Years

Host and educator Ana Torres knows firsthand how hard it is to be a teacher. That’s why, in our podcast Beyond My Years, she seeks out educational insights from people who’ve thrived for decades in the classroom: seasoned educators. Sharing their biggest victories and a few lessons they wish they’d learned sooner, these longtime educators prepare listeners for their own teaching journeys. Hear stories that make you cry, make you laugh—and may even change the way you think.

Square graphic with a child’s silhouette outlined in rainbow colors, icons like a star, apple, and hand, plus “Beyond My Years” and “Amplify” on blue—perfect for fans of the Amplify Podcast Hub or the Science of Reading Podcast.
Blue graphic with "Math Teacher Lounge" in colorful letters, geometric mountain shapes, and "Amplify." at the bottom right—featuring content from the Math Teacher Lounge podcast on the Amplify Podcast Hub.

Math Teacher Lounge

Math Teacher Lounge is a 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 Math Teacher Lounge: The Community on Facebook to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Science Connections

Join our host Eric Cross as he sits down with educators, scientists, and knowledge experts on ways to best support students in science classrooms. Hear how to inspire kids across the country to love learning science, and how you can bring that magic into your classroom for your students.

Square graphic with the words "Science Connections" and "Amplify" on a dark background, featuring colorful connected circles and abstract lines—perfect for listeners of the Amplify Podcast Hub or Science of Reading Podcast.

Read about our all-green programs on EdReports.

See what the evaluators at EdReports have to say about Amplify’s high-quality curriculum.

Ready to learn more? Check out our extensive collection of resources.

Explore our resources

Boost Reading sample site

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Welcome, Palm Beach reviewers!

We’re honored to introduce you to Amplify Desmos Math Florida, and confident this comprehensive program will be a powerful tool in classrooms across your district.

Please start with the video on the right to learn more.

Next, view this video for an in-depth look at a lesson from both the Teacher and Student Editions.

Accelerated 7

Visit http://learning.amplify.com/.

To further support your review.

Select Log in with Amplify and use the login credentials in your submission documents.

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Amplify Desmos Math Florida Accelerated 7 Teacher Edition

Volume 1

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PDF

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Amplify Desmos Math Florida Accelerated 7 Teacher Edition

Volume 2

ebook

PDF

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Amplify Desmos Math Florida Accelerated 7 Assessment and Lesson Resources

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PDF

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Amplify Desmos Math Florida Accelerated 7 Intervention and Extension Resources

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Amplify Desmos Math Florida Accelerated 7 Additional Practice and MLDR Sampler

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Amplify Desmos Math Florida Accelerated 7 Student Edition

Volume 1

ebook

PDF

Illustration of students performing math activities outdoors with geometric shapes, skyscrapers, and trees; cover of "Amplify Desmos Math Florida ACC 7 Volume 2 Student Edition.
Amplify Desmos Math Florida Accelerated 7 Student Edition

Volume 2

ebook

PDF

Welcome, Florida educators!

Welcome to Amplify Desmos Math Florida! Below, you’ll find links to sample lessons and more information about our Amplify Desmos Math Florida program.

A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.

Preview Lessons.

Check out the links below to explore our interactive sample lessons. 

Register to learn more about Amplify Desmos Math Florida.

Join us as we sit down with math experts and educators to explore how to support both students and teachers in math classrooms across Florida. This free professional learning series is designed to deliver collaborative, effective, and engaging math practices, as well as free activities to use right away. 

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A structured approach to problem-based learning

Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.

Student thinking is valuable and can be made evident.

We believe that math class is a place where teachers can elicit, celebrate, and build on their students’ interesting ideas. Those ideas fuel meaningful classroom conversations and drive the learning process.

Three students sit at a table in a classroom, smiling and looking at a laptop together, with notebooks and papers in front of them.
A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.

Robust assessments that drive learning and inform instruction

A variety of performance data in Amplify Desmos Math Florida provides evidence of student learning, while helping students bolster their skills. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Reporting and insights

Teachers and administrators have visibility into what students know about grade-level math with a variety of data reports. By evaluating not only what students know about grade-level math but also providing insight into how they think, teachers can confidently plan whole-class instruction and targeted intervention.

A digital dashboard displays student names and their performance levels in a grid, with a score distribution summary for assessment items shown in an overlay—ideal for tracking progress within the core curriculum or Desmos Math programs.

Access to grade-level math for every student, every day

Amplify Desmos Math Florida provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level-content without reducing the mathematical demand of tasksall while supporting students in building strong number sense, fluency, and conceptual understanding.

Differentiation when and where it matters most

Teachers are provided with clear student actions to look for, matched with immediately usable suggestions for how to respond to student thinking. Each lesson also includes recommendations for resources to use with students to support, strengthen, and stretch their understanding of the lesson goal.

Boost Personalized Learning

Boost Personalized Learning activities in Amplify Desmos Math Florida target a skill or concept aligned to the day’s core lesson, with each student receiving personalized scaffolds based on what they already know. Designed to build fluency in mathematics, these activities adapt to each student’s unique needs and support skill-based growth.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Florida Mini-Lessons are aligned to the most critical topics throughout a unit and provide targeted intervention for small groups of students who need additional support or more time.

A teacher sits at a table with two students, using small objects and a workbook to provide individualized instruction during a Boost Math lesson in a classroom with large windows.

Boost Math

Boost Math is a K–8 personalized learning and intervention program that provides Learning Pathways to ensure that every student succeeds. Our system supports all aspects of a strong Multi-Tiered System of Supports (MTSS) through learning progressions that connect foundational skills directly to core instruction.

Explore Boost Math

Contact us

Support is always available. Our team is dedicated to helping you every step of the way. Contact your dedicated Florida representative for program access, samples, and additional information.

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Jeff Rutter

Field Manager
jrutter@amplify.com

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Kamilah Simpson

Account Executive
ksimpson@amplify.com

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Thomas Gantt

District Manager
tgantt@amplify.com

Welcome, Florida reviewers!

To view this protected page, enter the password below:



Welcome to Amplify Desmos Math!

Your Amplify Desmos Math Experience Kit includes teacher and student materials for one sub-unit of instruction to try in your classroom. Click the orange button below to access the digital lessons for your grade.

A laptop displays a math problem on its screen with illustrations of fish and a clock, alongside two math activity books titled "Amplify Desmos Math" for grades 3 and 5.

About the program

Our structured approach to problem-based learning systematically builds on students’ curiosity to develop lasting grade-level understanding.

Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.

Educational materials featuring various graphs and applications, including rocket motion and quadratic functions, displayed on Desmos and paper.
Interactive digital math lesson interface with colorful graphics showing parabola exploration and plotting tools on screen, enhanced by the New York math curriculum.

Structured approach to problem-based learning

  • Differentiation and personalized practice
  • Easy-to-follow instructional guidance
  • Robust assessments and reports
  • Spanish student materials
A classroom dashboard displays student names and their progress in activities, with checkmarks indicating completed tasks and circles showing ongoing or incomplete tasks.

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has fully compatible print and digital materials for a collaborative classroom
Illustration of an Amplify Desmos math learning tool on a student screen showing abacus representations for the sums 8+7, 7+4+5, 3+8+4

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking

Experience Kit digital lessons

Use the grade-specific links below to explore our interactive digital lessons. Learn more about assigning a lesson to your class using a single-session code.

In addition to the sample lessons below, you can view the Experience Kit brochure, which includes helpful print and digital navigation tips.

Grades K–5 brochure

Grades 6–A1 brochure

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.
A girl in a red and pink uniform kicks a soccer ball while two players in yellow attempt to block, showcasing teamwork akin to problem-solving strategies in Amplify Desmos Math. Another player runs in the background.
Kindergarten, Unit 6: Numbers 0–20

Sub-Unit 1: Counting Teen Numbers

A crowd gathers outdoors near a path lined with blueberry displays; musicians play on a stage, and people interact as a woman and child stand in the foreground holding drinks.
Grade 1, Unit 5: Adding Within 100

Sub-Unit 1: Adding Without Making a Ten

A family stands by a mailbox labeled "Three Hundred Two." In New York, a child holds a letter as an adult pats their head. Another adult, with a desmos math guide in hand, looks on proudly.
Grade 2, Unit 5: Numbers to 1,000

Sub-Unit 1: The Value of Three Digits

In an outdoor setting, a girl with glasses attentively washes a chicken in soapy water, surrounded by hills, trees, and buildings. Soap bubbles and leaves float in the air as she ponders New York math challenges amidst this tranquil scene.
Grade 3, Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Sub-Unit 1: Measurement Data on Line Plots

In "Pat's Lei Shop," amidst the floral artistry, one can almost sense the precision akin to solving a New York math problem, with each lei meticulously assembled on a table with scissors, thread, and flowers.
Grade 4, Unit 6: Multiplying and Dividing Multi-Digit Numbers

Sub-Unit 1: Multi-Digit Multiplication

At a bustling puzzle stand, a person interviews a young individual holding a puzzle box. Various puzzles, including "Autumn Day," catch the eye. A sign proudly boasts, "Jonathan & Omar's Pleasing Puzzles!"—where New York math enthusiasts find joy in every challenge.
Grade 5, Unit 5: Place Value Patterns and Decimal Operations

Sub-Unit 1: Numbers to Thousandths

Three raccoons on a seesaw balance with a 21-pound weight in a city park setting under a clear sky.
Grade 6, Unit 6: Expressions and Equations

Sub-Unit 1: Solving Equations

A sheep stands on grass near a number line, with an orange point at zero; a festive sheep with a hat and party blower appears in a thought bubble.
Grade 7, Unit 6: Expressions, Equations, and Inequalities

Sub-Unit 3: Inequalities

Four colorful robots stand in front of a whiteboard with a graph in a classroom setting.
Grade 8, Unit 6: Associations in Data

Sub-Unit 2: Analyzing Numerical Data

A laptop screen displays a math activity with a question about a rocket's height. Icons of a rocket and mathematical functions are on the side.
Algebra 1, Unit 7: Quadratic Functions

Sub-Unit 1: Introduction to Quadratic Functions

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

  • Live chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our toll-free number: (800) 823-1969.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.
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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.

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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.
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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.
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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.

Welcome, Amplify Math families and community to Amplify Desmos Math!

Amplify welcomes you and your learner to Amplify Math for the new school year. We are very excited to provide you with exceptional learning opportunities through math. Below are resources and helpful guides for enabling your student to have the most productive experience with our platform throughout the year.

math illustration of Amplify Math programs

What is Amplify Math?

Amplify Math is a core math curriculum built for grades 6, 7, 8, and Algebra 1. It features a full suite of products for teachers and students that includes lesson plans, instructional materials, practice, assessments, and support to meet all learners’ needs. Amplify Math is built upon the highly rated curriculum, Illustrative Mathematics’® IM K–12 Math™, which was heavily researched and field-tested and has earned an all-green score on EdReports, the nationally recognized non-profit curriculum evaluation organization.

Read the review on EdReports.

Amplify Math helps students learn math in a way that is engaging and relevant to the world around them using student-centered instruction, which has been proven to increase students’ motivation, engagement, and enjoyment of math. Students using the program are active participants in their learning, solving problems while working with their classmates.

The digital experience allows your student’s teacher to monitor your student’s work in real time and make sure they get the exact support that they need at every part of the lesson. Amplify Math’s open-ended tasks provide engaging challenges for students of all levels, preparing them to solve all types of problems. The parts of Amplify Math work together to help students master the key skills of a 21st century learner!

Features

Some of the unique features of Amplify Math include:

  • Narrative connections: Exciting stories that help students to make connections between the math they learn in class and their everyday lives, making math class more engaging for your student.
  • Amps: Interactive digital activities (included in every lesson) let your student can explore the math and collaborate with their peers.
  • Power-ups: Additional activities that teachers can use to identify when your student needs support and help your student improve on the most important skills.
  • Featured mathematicians: Stories of important mathematicians that help your students see themselves mirrored in the history of math.

Why student-centered instruction?

A diverse group of students, one wearing a unicorn headband, looks at a teacher pointing to an amplify math bar graph on a board.

Student-centered instruction may look different from the way students have learned math for decades, and maybe even the way you learned math. Student-centered instruction instead emphasizes student-led discovery. When students explore and discover strategies, they are more engaged and make longer lasting connections.

Research shows that students and teachers alike prefer this method, and teachers report that student-centered instruction has helped their students learn more math. This way of learning helps students to remember what they learn in class and apply their knowledge to new situations. Students who experience student-centered instruction have been shown to perform better on standardized tests and have more growth in their grades than their peers who learn through other methods. Your student will also learn to communicate in writing and verbally, understand and challenge the opinions of others, and build confidence in solving new problems. With student-centered learning, students will begin to develop key skills for success in college and the workplace, like using technology, completing projects independently and with others, and persevering through difficult problems.

What does an Amplify Math lesson look like?

Four illustrated icons represent phases of a lesson: Warm-up, Activities, Summary and Reflection, and Exit Ticket and Practice, each with related instructional graphics.

Students using Amplify Math will be active participants in their learning and get practice solving interesting and new types of problems. Here’s what a typical Amplify Math lesson includes:

  • Warm-up: A short, attention-getting problem to get students interested in the lesson
  • Activities: 2-3 mini-activities that challenge students’ problem-solving skills
  • Summary: Discussion to review and bring together the important concepts from the lesson
  • Exit Ticket: Questions for students to show what they know from the lesson
  • Practice: Additional problems your student’s teacher may assign for classwork or homework

Check out lessons from Grade 6Grade 7Grade 8, and Algebra 1, and watch this video of a typical Amplify Math lesson:

Materials overview

Your student will have access to all learning, practice, and assessment materials through the Amplify platform. In addition, depending on the district, your student may also have a print Student Edition to use instead of the digital lesson if they do not have a device or internet. The Student Edition is a workbook that students can use to complete their work on problems and practice within the lessons.

Students can access the digital curriculum in school and at home with login information provided by their teachers. You can contact your student’s teacher to learn more about how they log in. Here are some key resources of the digital platform for students:

  • Digital activities to allow students to explore and make sense of math, leading to increased engagement and understanding
  • Digital supports such as a calculator and manipulatives to support all students where they are
  • Power-ups to give students just-in-time practice with key skills
  • Ability to access instructional materials in English or Spanish

Unit Caregiver Letters

Click a unit below to download the caregiver letter for that unit, in both English and Spanish.

How to support your student

Amplify Desmos Math Support
  • Review the unit caregiver letters to understand the key concepts in each unit. You can walk through the worked examples with your student, asking them to explain the strategy shown and asking if they know any other strategies to solve the problems. 
  • Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. Ask your student to walk you through how they solved each problem or talk about any parts that were challenging for them. 
  • Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, however, research shows that making mistakes helps your brain grow more. When your student gets stuck on a problem, encourage them to try different strategies, even if they are not sure if they are right. 
  • Relate math to daily activities at home, whether it be baking, grocery shopping, or planning for a road trip. Your student can help you figure out the price of an item after a coupon, cut a recipe in half, or figure out how much gas you’ll need to make it to your destination. Encourage your student to point out ways that your family uses math in your daily tasks.

Want to learn more?

Interested in learning more about Amplify Math? These resources will help you dig deeper:

Amplify Desmos Math New York high school

Welcome to Amplify Desmos Math! Below, you’ll find information about the program, login credentials to access the digital curriculum, and additional resources to support your review.

A laptop screen displays a math activity showing a machine representing the function h(x) = f(x + 2) and a table for input and output values.

About the program

Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students.  The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A geometry activity shows a circle intersected by several lines, with a shaded quadrilateral inside. Questions and answer options appear on the right.

Structured approach to problem-based learning

  • Easy-to-follow instructional guidance
  • Robust assessments and reports
  • Explicit guidance for teachers on what to look for and how to respond
A classroom activity tracker shows a grid with students’ names in the left column and progress checkmarks or crosses for seven activities across the top.

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Compatible print and digital materials for every lesson to foster a collaborative classroom
A design challenge interface shows two side-by-side diagrams with interlocking purple circles; the left is editable with 3 objects, the right is the design to match.

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking
  • Student Notes pages to prepare students for college-level skills

Scope and sequence and standards alignment

Click the link below to view the program scope and sequence, alignment to standards, and alignment to the NYC DOE Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework

A two-page chart outlines the scope and sequence for Algebra 1, Geometry, and Algebra 2 units, with a vector graphic of lab equipment in the lower right corner.
A laptop displays a graph of a diver's path above water, with two printed math worksheets featuring graphs, tables, and practice problems in the background.

Experience Amplify Desmos Math New York.

Explore our digital program to review content from Algebra 1, Geometry, and Algebra 2. To log in, click the orange “Review now” button below, select “Log in with Amplify” and use the following login credentials:

Username: t.math-adm-ny-hs@tryamplify.net

Password: AmplifyNumber1

Resources to support your review

To learn more about Amplify Desmos Math New York, including pedagogical philosophy, origins, implementation examples, and nationally recognized independent reviews, please download the following documents:

A worksheet and two digital screens show math activities involving tables and blocks, focusing on comparing numbers and filling in missing values.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

  • Live chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our toll-free number: (800) 823-1969.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.

Inspiring the next generation of Rochester scientists, engineers, and curious scholars

Dear Rochester educator,

We’re extremely excited to be part of your science review process.

Built from the ground up for three-dimensional, phenomena-based learning, Amplify Science helps your Rochester scholars go from learning about to figuring out scientific concepts.

Explore the sections below and learn how Amplify creates rigorous, relevant learning experiences for the next generation of scientists, engineers, and curious citizens.

—Jennifer Fosegan, Rochester Senior Account Executive

Standards-based and grounded in research

Amplify Science is an engaging new core curriculum designed for three-dimensional, phenomena-based learning. Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify, our program is used by hundreds of schools across the country, including New York City Public Schools, Chicago Public Schools, and Denver Public Schools.

Amplify Science was designed from the ground up to meet the Next Generation Science Standards. To ensure alignment to the New York State Science Learning Standards (NYSSLS), our partners at the New York City Department of Education created additional resources that can be made available for RCSD to implement.

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

Phenomena-based approach

In each Amplify Science unit, students take on the roles of scientists or engineers in order to investigate a real-world problem. Students work to define the problem and collect and make sense of evidence. Once the context is clear, students collect evidence from multiple sources and through a variety of modalities.

At the end of the unit, students are presented with a brand-new problem, giving them an opportunity to apply what they’ve learned over the course of the unit to a new context. This represents a shift from asking students to learn about science to supporting students in figuring out the science.

Resources to support your review

What’s included

COMPONENT

FORMAT

Teacher’s Guides and digital experience

Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including detailed lesson plans, classroom slides, high-level overview documentation, differentiation strategies, standards alignments, materials and preparation steps, teacher support strategies, and in-context professional development, possible student responses, and more.

Print and digital

Hands-on materials kits

Hands-on learning is integrated into every unit of Amplify Science. Each hands-on activity is supported through clear instructions for the teacher, as well as easily accessible materials in unit-specific kits. Each kit contains hands-on materials, both consumable and nonconsumable, and various print materials (e.g., Vocabulary and Key Concept cards). With Amplify Science, students can actively participate in science: gathering evidence, thinking critically, making observations, and communicating their claims

Kit

COMPONENT

FORMAT

Student Investigation Notebooks

Available for every unit, the Student Investigation Notebooks contain instructions for activities and space for students to record data, reflect on ideas from texts and investigations, and construct explanations and arguments.

Print and digital

Student books

The age-appropriate Student Books in Amplify Science allow students to engage with content-rich text, obtain evidence, develop research and close reading skills, and construct arguments and explanations about the ideas they are learning in class.

Print and digital

Student digital experience

Students can easily engage with the student digital experience, so effective learning can occur in every type of classroom environment.

In grades 4–5, students are introduced to digital simulations. Developed exclusively for Amplify Science, these digital tools serve as venues of exploration and data collection, allowing students to discover and construct their understanding of science concepts and phenomena.

Digital

Spanish parity

Amplify Science is committed to providing support to meet the needs of all learners. For Spanish-speaking students, greater access to rich science content is achieved with Amplify Science through the use of a pedagogical approach that offers multiple points of entry. In addition, Spanish language supports are available across the curriculum, including Spanish kits that offer Spanish versions of all student-facing print materials, as well as Spanish digital licenses for teachers. Learn more about the Spanish components available across Amplify Science.

The same rigor in terms of scientific accuracy, literacy development, and the use of rich content and language in the creation of the Amplify Science Spanish materials. To ensure equity, all Spanish materials were carefully translated using academic Spanish, paying particular attention to consistency and the use of grade-level-appropriate language in order to support language development.

Review online

Ready to explore on your own? Follow the instructions below to access your demo account.

First, watch this navigation video. Then, click the orange button “Log in to Amplify Science” to log in.

  • Select Log in with Amplify.
  • Enter username and password:
    • Teacher username: t1.rcsdtrial@demo.tryamplify.net
    • Student username: s1.rcsdtrial@demo.tryamplify.net
    • Password (both teacher and student): Amplify1-rcsdtrial

Disciplinary Core Ideas (DCI) review
Each Amplify Science unit is designed around a unit-specific learning progression that aligns with NGSS disciplinary core ideas (DCI) and crosscutting concepts. The levels that comprise the unit’s learning progression are cumulative. As students progress through the unit, they are able to integrate prior understandings with new insights, and there are continuing opportunities for students to master conceptual understanding of early unit content in subsequent chapters of the unit.

This means that standards are often addressed across entire units instead of in one particular activity or lesson. Thus, the lessons noted below are examples of where the concept represented in the listed DCI is addressed, but this list should not be considered exhaustive. Instead, students have frequent opportunities to engage with these ideas throughout the unit, the grade, and the grade band. 

To view the specified lessons, explore our RCSD Digital Review Guide or select a grade level below.

DCI ESS2.D: Weather and Climate
Before you begin reviewing these lessons, make sure to locate the following Student Books from your Unit Kit: What is the Weather Like Today? and Tornado! Predicting Severe Weather

Select the Sunlight and Weather unit, click Chapter 1, and locate the lessons below:

Lesson 1.1

  • Activities 2 and 3, Step-by-step tab
  • Student bookWhat is the Weather Like Today? (note: located in your Unit Kit)

Lesson 1.2

  • Activities 1 and 3, Step-by-step tab

Lesson 1.3

  • Activities 1 and 2, Step-by-step tab

Lesson 1.4

  • Lesson Brief, Digital Resources, “Playground Weather Calendars and Playground Weather Graphs (Completed)”
  • Activity 1, Step-by-step tab (especially steps 5, 9, and 10) and Teacher Support tab (“Assessment, Assessment Opportunity: Assessing Students’ Understanding of Types of Weather”)

Lesson 5.1

  • Activity 1, Step-by-step tab (especially steps 6–7) and Teacher Support, Assessment tab (“Assessment Opportunity: Assessing Students’ Understanding of Weather and Why We Measure It”)
  • Student book, Tornado! Predicting Severe Weather (note: located in your Unit Kit), pages 6–9

DCI PS4.A: Wave Properties
Before you begin reviewing these lessons, make sure to locate the following materials from your Unit Kit: Light and Sound Student Investigation Notebook; Student Book: What Vibrates?

Select the Light and Sound unit, click Chapter 4, and locate the lessons below:

Lesson 4.1

  • Lesson Brief, Digital Resources, “Assessment Guide”
  • Activity 3, Step-by-step tab (especially steps 1–12)
  • Light and Sound Student Investigation Notebook, page 24 (note: located in your Unit Kit)

Lesson 4.2

  • Activity 2, Step-by-step tab and On-the-Fly Assessment (hummingbird icon)
  • Activity 3, Step-by-step tab and On-the-Fly Assessment (hummingbird icon)
  • Activity 4, Instructional Guide
  • Student bookWhat Vibrates? (note: located in your Unit Kit)
  • Light and Sound Student Investigation Notebook, page 25 (note: located in your Unit Kit)

Lesson 4.3

  • Lesson Brief, Digital Resources, “I Hear a Sound. What Vibrates? Mini-Book copymaster”
  • Activity 1, Step-by-step tab (especially steps 5–11, 13), and Teacher Support tab (“Instructional Suggestion, Going Further: Sound Can Cause Vibrations”)
  • Activity 3, Step-by-step tab
  • Activity 4, Step-by-step tab and On-the-Fly Assessment (hummingbird icon)

DCI LS2.A: Interdependent Relationships in Ecosystems
Before you begin reviewing these lessons, make sure to locate the following materials from your Unit Kit: Plant and Animal Relationships Student Investigation Notebook; Student book A Plant is a System.

Select the Plant and Animal Relationships unit, click Chapter 1, and locate the lessons below:

Lesson 1.6

  • Activities 2–4, Step-by-step tab
  • Plant and Animal Relationships Student Investigation Notebook (note: located in your Unit Kit), pages 15–19

Lesson 1.7

  • Activity 2, Step-by-step tab, Possible Responses tab, and Critical Juncture Assessment (hummingbird icon)
  • Activity 3, Step-by-step tab

Lesson 2.2

  • Activity 2, Step-by-step tab (especially steps 4–12) and Possible Responses tab
  • Student bookA Plant is a System (note: located in your Unit Kit)

DCI ESS2.D: Weather and Climates
Before you begin reviewing these lessons, make sure to locate the following materials from your Unit Kit: Weather and Climate Student Investigation Notebook; Student Books Dangerous Weather Ahead and Sky Notebook.

Select the Weather and Climate unit, click Chapter 4, and locate the lessons below:

Lesson 1.4

  • Activity 2, Step-by-step tab 
  • Student bookSky Notebook (note: located in your Unit Kit)

Lesson 2.3

  • Activity 3, Step-by-step tab and Possible Responses tab
  • Weather and Climate Student Investigation Notebook, page 28 (note: located in your Unit Kit)

Lesson 3.2

  • Lesson Brief, Digital Resources, “Anchorage, Queenstown, and Saint Petersburg Graphs copymaster”
  • Activities 2 and 3, Step-by-step tab

Lesson 3.3,

  • Activity 2, Step-by-step tab, Possible Responses tab, and On-the-Fly Assessment (hummingbird icon)

Lesson 3.6

  • Activity 1, Step-by-step tab (especially steps 3–5) and On-the-Fly Assessment (hummingbird icon)

Lesson 3.7

  • Lesson Brief,  Digital Resources, “End-of-Unit Writing: Arguing About Future Island Weather Version A copymaster” and “Assessment Guide”
  • Activity 3, Step-by-step tab (especially steps 3–7)

Lesson 4.2

  • Activity 2, Step-by-step tab, Possible Responses tab, and On-the-Fly Assessment (hummingbird icon)
  • Student book, Dangerous Weather Ahead (note: located in your Unit Kit)

DCI PS4.A: Wave Properties
Before you begin reviewing these lessons, make sure to locate the following materials from your Unit Kit: Student books Warning: Tsunami! and Patterns in Communication.

Select the Waves, Energy, and Information unit, click Chapters 1 and 3, and locate the lessons below:

Chapter 1

Lesson 1.4

  • Activity 1, Step-by-step tab (especially steps 1, and 4)
  • Student bookWarning: Tsunami! (note: located in your Unit Kit)
  • Activity 2, Step-by-step tab, On-the-Fly Assessment (hummingbird icon), and Teacher Support tab (“Instructional Suggestion, Providing More Experience: Waves in Water”)

Chapter 3

Lesson 3.1

  • Activity 2, Step-by-step tab (especially steps 4–8) and On-the-Fly Assessment (hummingbird icon)
  • Activity 3, Step-by-step tab and Waves, Energy, and Information Simulation

Lesson 3.2

  • Activity 3, Step-by-step tab, On-the-Fly Assessment (hummingbird icon), and Waves, Energy, and Information Simulation 

Lesson 3.3

  • Activity 4, Step-by-step tab and On-the-Fly Assessment (hummingbird icon)
  • Student bookPatterns in Communication (note: located in your Unit Kit), pages 6–7

DCI LS2.A: Interdependent Relationships in Ecosystems
Before you begin reviewing these lessons, make sure to take out the following materials from your Unit Kit: Student books Restoration Case Studies and Walk in the Woods; Organism Print Name Cards: Set 1.

Select the Ecosystem Restoration unit, click Chapters 1, 2, and 3, and locate the lessons below:

Lesson 1.6

  • Activity 2, Step-by-step tab, Possible Responses tab, and Ecosystem Modeling Tool (Box 2 on student apps page, “1.6 Healthy Ecosystem Model”)
  • Activity 3, Step-by-step tab (especially steps 2 and 3), Possible Responses tab, and Critical Juncture Assessment (hummingbird icon)

Lesson 1.7

  • Activity 2, Step-by-step tab
  • Activity 3, Step-by-step tab (especially steps 3–7) and On-the-Fly Assessment (hummingbird icon)
  • Printable Resources, Print Materials (8.5” x 11”), Organism Name Cards: Set 1, pages 12–17 (note: located in your Unit Kit)

Lesson 1.8

  • Activity 3, Step-by-step tab (especially steps 6–8) and Possible Responses tab

Lesson 2.3

  • Activity 3, Step-by-step tab (especially steps 1–4), Possible Responses tab, and Ecosystem Modeling Tool (Box 3 on student apps page, “2.3 Plant Needs Model”)

Lesson 2.5

  • Activity 3, Step-by-step tab
  • Student bookRestoration Case Studies (note: located in your Unit Kit)

Lesson 3.2

  • Activity 2, Step-by-step tab
  • Student bookWalk in the Woods (note: located in your Unit Kit), pages 6–10

Lesson 3.3

  • Activity 4, Step-by-step tab and Ecosystem Restoration Simulation

Lesson 3.4

  •  Activity 2, Step-by-step tab, Possible Responses tab, On-the-Fly Assessment (hummingbird icon), and Ecosystem Restoration Simulation

Lesson 3.5

  • Activity 2, Step-by-step tab and Teacher Support tab (“Instructional Suggestion, Going Further: Balance and Interdependence of Ecosystems: Impacts of Invasive Species”)
  • Student bookRestoration Case Studies (note: located in your Unit Kit), pages 11, 31, and 47

Lesson 3.6

  • Activity 2, Step-by-step tab (especially steps 4–5), Possible Responses tab, and Critical Juncture Assessment (hummingbird icon)

Lesson 3.7

  • Activity 1, Step-by-step tab, Possible Responses tab, and Ecosystem Modeling Tool (Box 5 on student apps page, “3.7 No Decomposers Model”)

Looking for help?

Contact your Rochester Account Executive:

Jennifer Fosegan
(585) 590-4200
jfosegan@amplify.com

Inspiring the next generation of Massachusetts scientists, engineers, and curious citizens

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A powerful partnership

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify. This partnership extends to 2032, allowing us to continuously improve our program and provide our customers with the most up-to-date enhancements, free of charge. Get a glimpse at our latest back-to-school updates here.

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

Three blue panels describing educational activities: "hands-on science" with lab experiments, "discuss" with collaborative learning, and "read" with literacy in science articles.

Phenomena-based approach

In each Amplify Science unit, students take on the roles of scientists or engineers in order to investigate a real-world problem. Students work to define the problem and collect and make sense of evidence. Once the context is clear, students collect evidence from multiple sources and through a variety of modalities. At the end of the unit, students are presented with a brand new problem, giving them an opportunity to apply what they’ve learned over the course of the unit to a new context. This represents a shift from asking students to learn about science to supporting students in figuring out the science.

Flowchart of a learning unit divided into four chapters, showing stages of student engagement from introduction to application, with assessments indicated at various points.

Resources to support your review

Remote and hybrid learning support

A child sits at a desk using a laptop. Next to the desk is a bookshelf with books, a fishbowl, and a soccer ball.

See an example of our remote and hybrid learning support below:

This fall, Amplify launched a new remote learning solution called Amplify Science@Home. Intended to make extended remote and hybrid learning easier, Amplify Science @Home includes two useful options for continuing instruction: @Home Videos and @Home Units.
Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home. These videos will be produced for all K–5 units, and for the first four units of each 6–8 grade level. Their release will be rolling, beginning in August.

Amplify Science @Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. @Home Units will be developed for all Amplify Science K–8 units. Each @Home unit includes:

  • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available
  • Overviews to send home to families

Student materials will be available in two formats:

  • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home
  • Downloadable @Home Packets (PDF) for students without access to technology at home

Download the remote and hybrid learning guide

Benchmark Assessments

Amplify’s Benchmark Assessments are designed to help teachers measure student progress toward the three dimensions—Disciplinary Core Ideas (DCIs), Science and Engineering Practices (SEPs), and Crosscutting Concepts(CCCs)—and performance expectations (PEs) of the NGSS. The assessments provide important insight into how students are progressing toward mastery of different standards ahead of high-stakes, end-of-year assessments.

The Benchmark Assessments are built to be delivered after specific units in the recommended Amplify Science scope and sequence.* They are given three or four times per year, depending on the grade level. The benchmarks are intended to show progress at various points in time across a school year, and are therefore not summative in nature. Digital items and item clusters are also tagged to specific NGSS standards, allowing customization to align with other course sequences. The assessments are available via the following platforms:

Print
PDF files: For administering Benchmark Assessments on paper

Digital platforms

  • Illuminate
  • SchoolCity
  • Otus
  • QTI (“Question and Test Interoperability”) files
    Not sure whether QTI files are compatible with your assessment platform? Contact your school IT or assessment platform representative for more information.
    Please note that Amplify is able to provide access to the QTI files themselves, but is not able to support the integration process. Your assessment platform provider should be able to assist with QTI file integration.

Flexible implementation

One of the key features of Amplify Science is the flexibility that it offers. We give students authentic opportunities to experience the full breadth of what it means to be a scientist or engineer. Just as scientists gather evidence from many types of sources, so do students in our program. Like scientists, students gather evidence not just from physical models, but also from digital models, texts, videos, photographs, maps, data sets, and even their peers!
Simply put, real scientists don’t just get messy—they read, write, analyze, hypothesize, model, test, and communicate with purpose, too.

Science articles

The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

Illustration of the indirect effects of overfishing on northern benguela jelly populations displayed on a laptop screen.

Student Books
Beginning and young readers have unique developmental needs, and science instruction should support these students in reading more independently as they progress through sections of content, the school year, and each grade. One way Amplify Science meets these needs is by strategically deploying different modes of reading throughout each unit: Read-Aloud, Shared Reading, and Partner Reading.

A collage of various educational book covers related to science and math, featuring illustrated themes like sports, nature, and energy.

Student Investigation Notebooks

Available for every unit, the Student Investigation Notebooks provide space for students to:

  • record data.
  • reflect on ideas from texts and investigations.
  • construct explanations and arguments.

Available with full-color article compilations for middle school units.

Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.

Digital student experience

Students access the digital simulations and Modeling Tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

  • conduct hands-on investigations.
  • engage in Active Reading and writing activities.
  • participate in discussions.
  • record observations.
  • craft end-of-unit scientific arguments.

Dive into a quick example of our powerful simulations

A digital illustration showcasing a laptop and a tablet displaying complex data analysis software interfaces with graphs and heatmaps.

Hands-on materials kits

Hands-on learning is at the heart of Amplify Science and is integrated
into every unit. Students actively take on the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them.

Check out these 2-minute videos to see an Amplify Science hands-on investigation in action.

Each unit kit contains:

  • consumable and non-consumable hands-on materials.
  • print classroom display materials.
  • premium print materials for student use (sorting cards, maps, etc.).
A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

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.
A laptop displaying the Geology on Mars webpage sits beside a book titled "Geology on Mars," both featuring the same cover image of Mars and a spacecraft, perfect for enhancing three-dimensional learning in any science classroom.

Scope and Sequence

GRADE UNITS
Kindergarten
  • Needs of Plants and Animals
  • Pushes and Pulls
  • Sunlight and Water
Grade 1
  • Animal and Plant Defenses
  • Light and Sound
  • Spinning Earth
Grade 2
  • Plant and Animal Relationships
  • Properties of Materials
  • Changing Landforms
Grade 3
  • Balancing Forces
  • Inheritance and Traits
  • Environments and Survival
  • Weather and Climate
Grade 4
  • Energy Conversions
  • Vision and Light
  • Earth’s Features
  • Waves, Energy, and Information
Grade 5
  • Patterns of Earth and Sky
  • Modeling Matter
  • The Earth System
  • Ecosystem Restoration
GRADE UNITS
Grade 6: Earth Science
  • Launch: Geology on Mars
  • Plate Motion
  • Plate Motion: Engineering Internship
  • Rock Transformations
  • Earth, Moon, and Sun
  • Ocean, Atmosphere, and Climate
  • Weather Patterns
  • Earth’s Changing Climate
  • Earth’s Changing Climate: Engineering Internship
Grade 7: Life Science
  • Launch: Microbiome
  • Metabolism
  • Metabolism: Engineering Internship
  • Traits and Reproduction
  • Populations and Resources
  • Matter and Energy in Ecosystems
  • Natural Selection
  • Natural Selection: Engineering Internship
  • Evolutionary History
Grade 8: Physical Science 
  • Launch: Harnessing Human Energy
  • Force and Motion
  • Force and Motion: Engineering Internship
  • Magnetic Fields
  • Thermal Energy
  • Phase Change
  • Phase Change: Engineering Internship
  • Chemical Reactions
  • Light Waves

Minnesota Academic Standards in Science coverage

Amplify Science was designed from the ground up to meet the NGSS, a set of standards that closely align with the K–8 Minnesota Academic Standards in Science (MASS). Therefore, most grade levels’ respective set of Amplify Science units address the necessary MASS (see K–5 reverse alignment and/or correlations for K–5 and 6–8). However, for grades 2–4, teachers should also use the resources provided in the sections below to achieve full coverage of the appropriate standards before their students move on to the next grade level. Organized by grade level, each section outlines:

  • companion lesson materials that were written to support 100% alignment to the Minnesota Academic Standards in Science when used with the core Amplify Science units for the grade level
  • the standard being addressed with each companion lesson; and
  • the recommended placement of each companion lesson within a specific Amplify Science unit 

Companion lesson: “Shelter”

Standard: 1P.4.2.2.1 Communicate solutions that use materials to provide shelter, food, or warmth needs for communities including Minnesota American Indian tribes and communities.* (P: 8, CC: 2, CI: PS1, ETS2)

Recommended placement: Following Lesson 5.1 of Spinning Earth

Materials: Shelter Classroom Slides and Student Sheet

Companion lesson: “Describing Climates”

Standard: 2E.4.2.1.2 Obtain and use information from multiple sources, including electronic sources, to describe climates in different regions of the world.** (P: 8, CC: 1, CI: ESS2)

Recommended placement: Following Lesson 4.5 of Changing Landforms

Materials: Describing Climates Classroom Slides and Student Sheet

Note: Students will further investigate the content in this standard, and revisit the book used in this companion lesson, in 3rd grade (Weather and Climate unit)

Companion lesson 1: Light and Vision

Standard: 3P.3.1.1.1 Develop a model to describe that light reflecting from objects and entering the eye allows objects to be seen. (P: 2, CC: 2, CI: PS4)

Recommended placement: Following Lesson 4.5 of Environments and Survival

Materials: Light and Vision Part 1 Classroom Slides and Student Sheet; Light and Vision Part 2 Classroom Slides and Student Sheet 

Note: Students will further investigate the content in this standard, and revisit the book used in this companion lesson, in 4th grade (Vision and Light unit)

Companion lesson 2: Studying Stars

Standard: 3E.4.2.2.1 Gather information and communicate how Minnesota American Indian Tribes and communities and other cultures use patterns in stars to make predictions and plans. (P 8, CC: 1, CI: ESS1) 

Recommended placement: Following Lesson 4.4 of Weather and Climate

Materials: Studying Stars Classroom Slides and Student Sheet

Note: Students will further investigate the content in this standard, and revisit the book used in this companion lesson, in 5th grade (Patterns of Earth and Sky unit)

Companion lesson 1: Salt Water and Freshwater

Standard: 4E.2.2.1.1 Interpret charts, maps and/or graphs of the amounts of salt water and fresh water in various reservoirs to provide evidence about the distribution of water on Earth.** (P: 5, CC: 4, CI: ESS2) 

Recommended placement: Following Lesson 2.6 of Earth’s’ Features

Materials: Salt Water and Freshwater Classroom Slides and Student Sheet

Note: Students will further investigate the content in this standard, and revisit the book used in this companion lesson, in 5th grade (The Earth System unit)

Companion lesson 2: How Raindrops Form

Standard: 4E.1.1.1.2 Ask questions about how water moves through the Earth system and identify the type of question. (P: 1, CC: 5, CI: ESS2) 

Recommended placement: Following Lesson 4.5 of Earth’s’ Features

Materials: How Raindrops Form Classroom Slides and Student Sheet

Note: Students will further investigate the content in this standard, and revisit the book used in this companion lesson, in 5th grade (The Earth System unit)

Explore the digital Teacher’s Guide

To familiarize yourself with navigation of the digital Teacher’s Guide, watch our navigational guide videos:

Grades K–5:

Grades 6–8:

Looking for help?

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

Timely technical and program support

Our technical and program support is included and available Monday through Friday, from 7 a.m. to 7 p.m. ET, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

Ready to dive in?

Contact your Minnesota representative:
Kristi Stengel
Account Executive
kstengel@amplify.com
(612) 306-3941

Tammy Sigwarth
Account Executive
tsigwarth@amplify.com
(563) 663-0056

i-Ready Classroom-NEW

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The power of technology in the math classroom

You might say math and tech go hand in hand. And these days, of course, kids and tech go literally hand in hand. So it makes sense that using digital tools in the math classroom can help teachers reach students, and teach the math content they need to learn. But truly integrating technology into math instruction is not just a matter of adding random gadgets and gizmos. We need to do more—especially if we want to leverage the power of math technology to engage all students.

Why integrate technology into the math classroom

Integrating technology into instruction delivers numerous benefits in the classroom–perhaps especially in the math classroom.

Numerous studies suggest that technology can support student learning in the math classroom. This tech might take the form of graphic calculators, digital manipulatives, or learning software. In general, such tools have been shown to help students improve both their understanding of math concepts and their performance on tests.

Thoughtful tech has these effects in part because it can make math more engaging. Students are generally more excited to dive into a visually appealing and interactive program than a black-and-white math textbook.

Integrating technology into a math classroom also means:

  • Personalized learning: Students can work at their own pace and get tailored guidance and feedback.
  • Collaboration: Students can work together regardless of their physical location.
  • Real-world applications: Technology can simulate real-world scenarios that require mathematical reasoning and critical thinking skills.
  • Saving teachers time: Technology helps teachers assess learning more effectively, providing real-time feedback and helping them identify where students need support.
  • Preparing students for the future: After all, most jobs require the use of technology!

How to integrate technology into the math classroom

The most effective technology approaches in the math classroom are active, not passive. They also invite deep thinking and productive struggle rather than speed and rote memorization.

The National Council of Teachers of Mathematics (NCTM) includes this guidance in its Principles to Action:

“An excellent mathematics program integrates the use of mathematical tools and technology as essential resources to help students learn and make sense of mathematical ideas, reason mathematically, and communicate their mathematical thinking.”

The NCTM recommends that teachers: “incorporate mathematical tools and technology as an everyday part of the mathematics classroom, recognizing that students should experience ‘mathematical action technologies’ and physical or virtual manipulatives to explore important mathematics.”

Here are just a few approaches that enhance engagement:

  1. Use interactive whiteboards or projectors: You can display math problems and solutions, diagrams, graphs, and simulations, allowing students to interact with and manipulate visual representations of math concepts.
  2. Use graphing calculators and virtual manipulatives: They can help students visualize and solve complex math problems, and prepare them for more advanced mathematical concepts.
  3. Use gamification techniques: Can make math more engaging and fun for students.
  4. Use online collaboration tools: These tools can help students work together on math problems and projects, even when they are not in the same physical location.
  5. Use select social media and other online platforms: To create math communities where students can collaborate, share resources, and ask questions.
  6. Use math software and apps: These programs can help students practice math, solve problems, and visualize math concepts in 3D or interactive models.

How Desmos Math 6–A1 delivers

Desmos Math 6–A1 is just that kind of program. It provides dynamic and interactive digital math learning experiences, alongside flexible and creative print activities. Its teacher dashboard is designed to encourage classroom discussion and collaboration. It invites students to explore a variety of approaches—and invites teachers to celebrate and develop interesting thinking in their classrooms.

The dashboard also shows teachers actionable formative assessment data for each student and the entire class, and allows them to leave written feedback for students in their lessons.

And we know it works. Teachers and students in our pilot program said that students learned more with Desmos Math 6–A1 than with their prior program. (See case studies in a large midwestern school district and in Naugatuck Public Schools.)

What’s more, Desmos Math 6–8 has earned perfect scores and an all-green rating from EdReports. This is a powerful affirmation not only of our program, but also of high-quality instructional materials, student-centered instruction, and thoughtful technology in the math classroom.

Learn more

Start your 30-day free trial of Desmos Math 6–A1.

Integrating AI in the science classroom

image of Science Connections podcast and host Eric Cross

How can you create new science lesson plans, adjust assessments, and design labs using only objects kids have at home?

Just ask—ChatGPT, that is.

In this recent Science Connections webinarScience Connections podcast host Eric Cross tackles the topic of ChatGPT for teachers, along with other specific AI tools that (when used with your existing standards-aligned curriculum) can help make teaching more efficient, targeted, and interactive.

AI for science can save teachers time, deepen student engagement, and inspire collaboration and creativity all around, says Science Connections podcast host Eric Cross.

Eric describes some of the many ways science teachers can use AI in the classroom—as both shortcut and partner. “We can use it for personalized learning,” he begins. “We can generate questions and give instant feedback. We can differentiate. We can support our students with special learning needs. And that’s just a start. The more you use it to collaborate with other educators, the more fun it becomes.”

Generative artificial intelligence 101

There are a lot of AI tools out there, but the new one is generative AI. As Eric explains, the difference is that generative AI—unlike, say, AI that gives you driving directions—creates something that didn’t exist before: text, images, music, and, yes, new science experiences for the classroom.

As with any technology, the practically infinite uses and applications of AI raise important questions about accuracy, equity, biases, and more. In this webinar, though, we focus only on AI’s practical uses for science teachers.

Generative AI relies on and responds to prompts.

You’re telling it to do something and it communicates back to you in human language. The way you craft your prompts determines your output, so the better your prompt is, the better your output.

– Eric Cross
Host, Science Connections; Adjunct Professor of Learning and Technology, University of San Diego

Let’s see what AI has produced for Eric as a science educator, and the kind of prompts he’s used to get there.

How science teachers can use AI to prepare and engage

Teachers can use generative AI to create personalized learning materials, generate more practice questions, and explain topics at any level and depth.

In this webinar, Eric focuses on the AI tools that have given him the most mileage as an educator and that he thinks can provide the most value for others.

These include:

  1. Modifying assessments when students have used all the ones that a curriculum provides. A sample prompt: “You are a science teacher creating an assessment for middle school students. I will upload an assessment. Please recreate it in a similar tone and voice as the original with a similar level of rigor.” Response: Brand-new multiple-choice and written questions on the same topics, all adhering to the same NGSS. With a little more back and forth, Eric will have the exact number, style, and focus of questions that he needs—along with an answer key.
  2. Creating relevant, accessible lab ideas. Eric prompts AI for lab and hands-on project ideas to fit exact specs: topic, grade level, desired outcome, and objects found in a typical classroom or home. Result: Hands-on activity ideas students can do at home, like exploring lung capacity with a balloon and a ruler (delivered by AI complete with full supply lists, instructions, and more).
  3. Helping students connect. To support a student who’s stuck, you might prompt the AI by saying: “I’m a fifth grader and my teacher is talking about claim evidence reasoning and I don’t really understand it. Can you explain it to me in a way that would help me? And then: “Now can you help me explain it to my mom, but in Spanish?”

Eric also uses AI to interpret graphs, collate student data, build graphic organizers, create science games, and more.

Is everything AI provides him flawless and 100% accurate? No, says Eric. “You have to vet, and it helps to have a high-quality curriculum already in place. But it gets me 80 to 90% there—and that’s pretty good.”

More to explore

Dyscalculia: What educators should know

Two children seated at a table engage with colorful number cubes and a pencil beside a worksheet—a delightful way to explore math. This playful setup subtly acts as an informal dyscalculia screener, helping spot characteristics of dyscalculia in young learners.

Some kids love math. Some kids like math. Some kids struggle with math, or struggle with math anxiety. And some kids have dyscalculia, a specific learning disorder that affects one’s ability to understand numbers and learn math facts.

As awareness has continued to grow, educators today are curious to know: What are the characteristics of dyscalculia? How can I help a child with dyscalculia? What should I know about dyscalculia screeners? We’re here to provide some answers.

Dyscalculia: What it is and is not

According to the Child Mind Institute, dyscalculia (sometimes called “developmental dyscalculia”) is a term used to describe specific learning disabilities that affect a child’s ability to understand, learn, and perform math and number-based operations.

Honora Wall, Ed.D., founder of the Dyscalculia Training and Research Institute, calls it “a type of neurodivergence: A difference in brain development or function.”

That’s an important distinction: Dyscalculia is a neurological condition that affects numerical cognition and processing. It has nothing to do with being “bad at math” or not “trying hard enough.”
Between 5 and 7% of elementary school-aged children may have dyscalculia, which is believed to affect girls and boys equally.

It is important to note that not all difficulties in math are caused by dyscalculia. Dyslexia, ADHD, and other conditions can also pose challenges for math students.

Nor is dyscalculia simply “math dyslexia.” Dyscalculia and dyslexia are entirely separate learning disorders that affect different areas of cognition and involve distinct difficulties.

How dyscalculia might present itself

Dyscalculia manifests in various ways in the math classroom. Here are some examples of how it can appear:

  • When engaging in activities like games involving dice, students may need to count the individual dots to recognize a number rolled, rather than intuitively recognizing it.
  • Students might have difficulty connecting the numerical symbol “5” (for example) to the word “five.” Making this connection is essential for associating numbers with their meanings.
  • Students may be delayed in learning to count, or lose track or rely on visual aids (like their fingers) when they count.

Such students may also have a hard time:

  • Solving math problems.
  • Recognizing or creating patterns.
  • Learning basic math functions.
  • Estimating how long a task will take.
  • Processing visual-spatial ideas such as charts and graphs, or even telling left from right.
  • Remembering phone numbers or zip codes.
  • Playing games that involve counting or keeping score.
  • Telling time.

The connection between mathematics anxiety and dyscalculia

Math anxiety is an emotional response to math that presents as apprehension or fear. Some call it mathematics phobia. It may include physical symptoms such as sweating, rapid heartbeat, shortness of breath, and other physical symptoms of anxiety. It’s similar to other types of anxiety, but it’s exclusive to math.

But, most important in this context, it’s not itself a neurological or cognitive condition.

So dyscalculia and math anxiety are not the same, but they may go hand in hand—perhaps with one exacerbating the other. Students with dyscalculia might develop math anxiety due to repeated challenges and frustrations in learning math.

Understanding this connection—and working to alleviate math anxiety—is crucial for educators aiming to create a supportive learning environment.

Tips for assisting students with dyscalculia

Here are some practical strategies educators can use to support students with dyscalculia:

  • Teach positive self-talk and persistence: Encourage students to develop a “growth mindset,” reinforcing that effort and persistence (as well as making mistakes) are essential to overcoming challenges.
  • Provide organizational aids: Use graph paper to help students line up numbers correctly, which aids in precision during calculations.
  • Use manipulatives: Tools like counters and blocks can make math feel more tangible, helping students grasp abstract concepts.
  • Focus on singular tasks: Present one math problem at a time to prevent students from feeling overwhelmed and allow for focused attention.
  • Allow more time: Give students the opportunity to work at their own pace, acknowledging that they may need more time to process numerical information.
  • Grant calculator access: Allowing calculators can reduce stress and help students solve problems more efficiently.
  • Make math fun and engaging: Incorporate interactive platforms such as Desmos Classroom to create an enjoyable and interactive learning experience.

More to explore

Amplify Desmos Math for the Archdiocese of Miami

Welcome Catholic school educators, 

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each math lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

What is Amplify Desmos Math?

Amplify Desmos Math supports teachers in building students’ lifelong math proficiency. The program:

  • Supports social classrooms, invites mathematical creativity, and evokes wonder, creating a welcoming learning space where students are empowered to see themselves and their classmates as having brilliant mathematical ideas.
  • Provides teachers with clear, step-by-step moves to build systematically from students’ prior knowledge to grade-level learning.
  • Connects students to each other’s thinking and to an understanding that they can use math to make sense of the world.
  • Enables access to grade-level understanding for every student, every day.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

Data informs instruction. Comprehensive student profiles provide full data on students’ assets and skills, empowering teachers to provide just-in-time scaffolds throughout core instruction and targeted intervention when needed.

Ready to Explore?

Ready to explore as a teacher? Follow these instructions:

Ready to explore as a student? Follow these instructions:

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Experience Amplify Desmos Math

Click the links below to explore our interactive digital lessons, where you’ll also find print Teacher Edition and Student Edition pages for each lesson.

For helpful navigation tips and more program information, download our Grades K–5 and Grades 6–Algebra 1 program guides.

You can also watch a product expert walk through a lesson and the available program components with a lesson walkthrough video.

Personalized learning and support

Amplify Desmos Math includes digital, adaptive practice that provides the personalized support a student needs to access grade-level math every day. Personalized Learning activities target a skill or concept aligned to the day’s core lesson, with each student receiving personalized scaffolds based on what they already know. This technology complements daily learning and provides another layer of support to the in-lesson differentiation and instructional guidance provided to teachers. Click here to try a Boost Personalized Learning activity. More activities coming soon!

The Fluency Practice of Amplify Desmos Math uses an evidence-based approach to memory retention—spaced repetition—for the basic operations. Students around the world have answered more than 120 million multiplication questions within our application. Try it now! 

Educational software on a laptop screen showing a student activity to complete a bar graph by categorizing dragonflies, designed for the New York math curriculum.

Contact us

Support is always available. Our team is dedicated to helping you every step of the way. Contact your dedicated Florida representative here for program access, samples, and additional information.

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Jeff Rutter

Field Manager
Miami-Dade and Monroe Counties
jrutter@amplify.com
(727) 407-5801

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Amanda Shelley

Account Executive
Broward County Schools
ashelley@amplify.com
(321)-693-3518

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Tom Gantt

District Manager
Miami Resident
tgantt@amplify.com
(305)-546-2979

Amplify Desmos Math for NYC Public Schools

Welcome! This site contains supporting resources for New York City Public Schools Amplify Desmos Math implementation.

What’s new?

  • Gearing up for the 2026-2027 School Year: Check out our Getting Started section on this page for support — including login support, materials lists, program overviews and more!
  • Check out the new Admin Reports views coming in SY 2026-2027 for district and school leaders! Click here to learn more.
  • Have a question about Amplify Desmos Math? This FAQ doc answers top questions about access, implementation, and features.
  • Need help? Check here for who can help! Our dedicated phone number, just for NYC, has team members ready to help! 1-888-960-0380
amplify math middle schoolers in classroom

About the program

Amplify Desmos Math New York is a core K-12 mathematics curriculum designed specifically for NYC Public Schools. It combines problem-based learning with Desmos Classroom technology to build conceptual understanding and align directly with the New York State Next Generation Mathematics Learning Standards. With beautiful print resources, and robust practice, differentiation supports, assessment and reporting, Amplify Desmos Math has received all-green ratings from EdReports. Read the review on EdReports.

Amplify Desmos Math is built on four core tenets:

  • Math can motivate students.
  • A structured approach to problem-based learning can best tend to all aspects of rigor.
  • Student thinking is valuable and visible.
  • Students can catch up while keeping up with grade-level math.
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Powerful digital lessons

Amplify Desmos Math lessons are powerful in their ability to elicit student thinking and spark interesting, productive discussions. The lessons pose problems that invite a variety of approaches with their dynamic and interactive learning experiences on devices, as well as experiences on paper that are flexible, creative, and engaging.

Screenshot of an educational interface showing a turtle race with lanes labeled 1 to 4, a play button, timer, and a table for writing equations for each lane.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows students to see that communicating their ideas and learning from each other are important parts of math class.

A digital activity interface showing hexagonal mosaics, a "Scale Factor = 3" label, and students' text responses about scaling and color patterns in the mosaic shapes.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine that students have access to this same information. With our collaborative lesson interface and teacher dashboard, students have awareness their own thinking and that of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen displays a math lesson about baking pizzas at 600°F, showing four uncooked pizzas and student response boxes below the question.

Ready-to-teach lessons

Each grade level includes 150 ready-to-teach lessons, complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can manage what slides students see, controlling the pace of the lesson to suit the needs of the class.

Planning for instruction

Amplify Desmos Math is customized specifically to meet the New York State Next Generation Math Learning Standards. Within each document below, you’ll find direct links to lessons and activities where each individual standard is addressed.

The program is also aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework. 

Scope and sequence

Ready to plan for the 2026-27 school year? These pacing guides (coming soon!) are designed to provide structure, not rigid mandates and resources for NYC.     

Multilingual learner supports

Implementation resources

A digital screen displays a rocket graphing activity, and an open textbook shows diagrams, charts, and text on building quadratics in factored form.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that’s teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class is suddenly fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understanding.

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Grade 6 Lesson Sampler

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Grade 7 Lesson Sampler

learn more

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Grade 8 Lesson Sampler

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Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings students’ brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students are taught that they themselves are mathematicians, that today’s math has been shaped by a diverse range of mathematicians who deserve to be celebrated, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning: assessments. Amplify Desmos Math features a robust variety of formative and summative assessments, including readiness checks, exit tickets, quizzes, end-of-unit tests, and benchmarks aligned with New York State Next Generation Mathematics Learning Standards.

A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.

Reporting

Not only do our reports reveal progress toward standard mastery, but they also include details on how students performed against the standard in the past and how many encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A digital dashboard displays student names and their performance levels in a grid, with a score distribution summary for assessment items shown in an overlay—ideal for tracking progress within the core curriculum or Desmos Math programs.

NYC webinar series

Figuring out how to implement a problem-based learning approach to mathematics can be fun—and challenging. Rest assured that you won’t be alone on this journey; Amplify will be by your side every step of the way. Our back-to-school math webinar series for K–8 administrators and teachers:

  • Introduces the new NYC Solves initiative.
  • Establishes the foundation for all educators to effectively understand and implement the NYCPS Shifts in Mathematics in their classrooms.
  • Provides an overview of Amplify Desmos Math, the pre-approved NYCPS curriculum chosen to ensure that every school can successfully implement these math shifts and is supported with high-level, tailored professional development and coaching throughout the process.

Please see the specific webinars and the recordings below to learn more!

Two Amplify Desmos Math teacher edition books are shown next to a laptop displaying a digital math activity with shapes and a prompt about ordering by lightest weight.

On-demand webinar 1

Would you like to learn more about the NYCPS Shifts in Mathematics and enhance your understanding of each of the five shifts?

Explore how the NYCPS math shifts are transforming mathematics education from a procedural approach to a more engaging, discoverable, and connected learning experience.

Listen to the Understanding the NYCPS Shifts in Mathematics session recording.

On-demand webinar 2

Let’s unpack the why, what, and how to unlock every student’s mathematical mind and build math proficiency for life! In this webinar, we discuss the power of teaching our children to be skilled mathematicians through a structured approach to problem-solving.

Listen to the Unlocking Mathematical Minds: A Structured Approach to Problem-Based Learning session recording.

On-demand webinar 3

For some educators, transitioning to problem-based learning might seem daunting. There’s often concern that the open-ended nature of the approach could derail students from achieving mathematical goals. However, by finding the right balance between open-ended opportunities and structured classroom activities, teachers can encourage students to share their thinking while meeting key learning targets. Uncover simple shifts that educators can implement to foster the perfect balance of open-ended student thinking and focus on mathematical instructional goals.

Listen to the Making the Shift to Problem-Based Learning session recording.

On-demand webinar 4

Amplify Desmos Math New York K–A1 is math that motivates! During this session recording, you’ll experience a grade 6 lesson that captures the essence of NYC Solves.

Listen to the Learn More and Experience Amplify Desmos Math LIVE, an NYCPS-Approved Math Curriculum session recording.

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Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review. You can be reached at any time by emailing or calling us directly.

  • Support pathways for NYC Core Orders
  • Chat: Click the orange icon while logged in to get immediate help.
  • Support Portal: Fill out this form, and we will get back to you as soon as possible.
  • Phone: Call our toll-free NYC Support number: (888) 960-0380.
  • Email: Send an email to AmplifyNYC@amplify.com.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

Educational materials featuring various graphs and applications, including rocket motion and quadratic functions, displayed on Desmos and paper.
Interactive digital math lesson interface with colorful graphics showing parabola exploration and plotting tools on screen, enhanced by the New York math curriculum.

Structured approach to problem-based learning

  • Differentiation and personalized practice
  • Easy-to-follow instructional guidance
  • Robust assessments and reports
  • Spanish student materials
A classroom dashboard displays student names and their progress in activities, with checkmarks indicating completed tasks and circles showing ongoing or incomplete tasks.

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has fully compatible print and digital materials for a collaborative classroom
Illustration of an Amplify Desmos math learning tool on a student screen showing abacus representations for the sums 8+7, 7+4+5, 3+8+4

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking

Figuring out Problem-Based Learning

Figuring out how to implement a problem-based learning approach to mathematics can be fun and challenging. Rest assured that you will not be alone on this journey. Amplify will be by your side every step of the way.

In the short videos below, Fawn Nguyen (Math Teaching and Learning Team, Former Math Coach and Teacher) and John Hoogestraat (Math Product Specialist, Former Math Coach and Teacher) share their thoughts about the power of Amplify Desmos Math.

Promotional graphic with the text “Figure it out with Fawn and John” and photos of a smiling man and woman in circular frames.
Illustration of a New York math curriculum map for grade 6-algebra 1, divided into 8 units with topics and a cartoon snail next to it.


Scope and sequence

Click the link below to view the program scope and sequence for grade 6–Algebra 1.

Program Preview lessons

Check out the links below to explore our interactive digital lessons.

In addition to the sample lessons below, you can view a sampler of Amplify Desmos Math mini-lessons. Amplify Desmos Math mini-lessons are 15-minute lessons aligned to the most critical topics throughout a unit. Teacher-led mini-lessons are used to provide targeted intervention to small groups of students who need additional support or to re-engage students with content that they may need more time on.

An illustration of various educational settings; on the left is a colorful, simplified cityscape with educational icons, and on the right, a laptop displaying an Amplify Desmos math lesson interface.
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Grade 6, Unit 6: Expressions and Equations

Sub-Unit 1: Solving Equations

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Grade 7, Unit 6: Expressions, Equations, and Inequalities

Sub-Unit 3: Inequalities

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Grade 8, Unit 6: Associations in Data

Sub-Unit 2: Analyzing Numerical Data

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Algebra 1, Unit 2: Linear Equations and Inequalities

Sub-Unit 1–2: One-Variable Equations and Multi-Variable Equations

Review full-year content

The login information provided below enables you to preview the complete mathematical content by grade level in less-than-final format. This content will be updated to the final Amplify Desmos Math format for the 2024-25 school year with the robust instructional supports shown in the Program Preview lessons.

To begin your review:

1. Review the Amplify Desmos Math Program Preview lessons.

2. Click here and use the following credentials to log in:
Username: t1.sfmath@demo.tryamplify.net
Password: Amplify1-sfmath

3. Use the following links to begin your review:

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Looking for help?

imSupport is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

  • Live chat: Click the orange icon while logged in to get immediate help.
  • Phone: Call our toll-free number: (800) 823-1969.
  • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.
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Ready to learn more?

S1-05: How does coding fit in the science classroom? A conversation with Aryanna Trejo of Code.org

Podcast cover titled "Science Connections" featuring Aryanna Trejo, Season 1, Episode 5. It includes abstract illustrations of a globe and telescope, discussing coding in the science classroom.

In this episode, Eric sits down with Aryanna Trejo, a professional learning specialist of Code.org. Aryanna shares her journey from working as an elementary teacher in New York City and Los Angeles to teaching other educators at Code.org. Eric and Aryanna chat about computer literacy within the science classroom, problem-solving skills, and ways to model productive struggle for students. Aryanna also shares ways to teach coding and computer literacy in schools, no matter the classroom’s technology level. Explore more from Science Connections by visiting our main page.

Download Transcript

Aryanna Trejo (00:00):

I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.”

Eric Cross (00:19):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Aryanna Trejo. Aryanna is a member of the professional learning team at Code.org. Before joining Code.org, Aryanna led computer science professional development for elementary school teachers, and served as an instructional coach for new educators. She also taught fourth and fifth grade in both New York City and in Los Angeles. In this episode, we discuss Aryanna’s journey to Code.org, where she helps educators connect coding to real life, how to use a rubber duck to solve problems, and how coding and computer science principles can be taught to students in areas without access to the internet…or even a computer. I hope you enjoy my conversation with Aryanna Trejo. So I was born and raised here, and I saw that you went to UC San Diego.

Aryanna Trejo (01:11):

I did, I did. I actually just put a deposit down on an apartment in University Heights, ’cause I’m moving back.

Eric Cross (01:16):

You’re coming back?

Aryanna Trejo (01:17):

I’m coming back. Yeah.

Eric Cross (01:19):

So if you need a classroom to visit….

Aryanna Trejo (01:21):

I would love to do more classroom observations!

Eric Cross (01:24):

Are we doing this? Let’s do—we’re making this happen.

Aryanna Trejo (01:26):

We are. Yeah. So I’ll be there. I’m moving there in April. I actually grew up in Orange County too, so I’m like a very diehard SoCal person.

Eric Cross (01:35):

So I feel like I know the answer to, hopefully—Tupac or Biggie? ‘Cause you’re on the East Coast, and you’re on the West Coast.

Aryanna Trejo (01:40):

Yeah. I like Tupac, but I have more Biggie songs committed to memory. Which is not a lot. I have “Juicy” and “Hypnotized” memorized.

Eric Cross (01:53):

All right. So you’re just memorizing, and you have the Biggie songs memorized, but not the Tupac ones.

Aryanna Trejo (01:58):

No, but I do love Tupac songs. You know, it’s like, Biggie has the flow, but Tupac has the lyrics. Nobody’s—they both have something really amazing about them.

Eric Cross (02:06):

You know, I can respect that you broke it down into both of their strengths.

Aryanna Trejo (02:11):

Thanks for buttering me up before this interview. And not….

Eric Cross (02:15):

<laugh> Oh, we already started.

Aryanna Trejo (02:16):

Huh? We already started?

Eric Cross (02:17):

We’re already started. Yeah. We’re already into this.

Aryanna Trejo (02:19):

We’re into it.

Eric Cross (02:21):

You were in the classroom, fourth and fifth grade, and you were doing TFA.

Aryanna Trejo (02:26):

I did. I did Teach For America. I was 2012, New York City Corps. Right after graduation. ‘Cause I graduated UC San Diego in 2012. So graduation was on June 17th, and I touched down at JFK on June 19th.

Eric Cross (02:40):

Even though I wasn’t in TFA, I know a lot of the fellows that are in it. And there’s just some phenomenal teachers in there. How long were you doing elementary school when you were teaching?

Aryanna Trejo (02:49):

Yeah, I taught for—well, I did, three years of teaching fourth grade. Then there happened to be an instructional coach opening in my fourth year. I took that, did some instructional coaching within the same network, and then I moved back to LA and I taught fifth grade for a year.

Eric Cross (03:11):

  1. And what was it like now? Did you go to Code.org right after the classroom?

Aryanna Trejo (03:17):

No, I didn’t. No. I transitioned after teaching fifth grade for a year in downtown Los Angeles, in the Pico-Union neighborhood. I ended up getting this email out of the blue from someone who had actually found me through the Teach for America job site. ‘Cause I was hitting the pavement; I was really looking to transition out of the classroom. And she invited me to interview with this company called 9 Dots. And they taught computer science to kids K–6 throughout Los Angeles and Compton. And I was like, “Sure, no problem. Let’s do it.” So I interviewed, I got the job, and yeah, that’s how I transitioned to 9 Dots. And then after almost four years there, I transitioned to Code.org, with the same person. Actually, she moved over to Code.org first, and then she helped me get this job.

Eric Cross (04:07):

Oh, that’s happened a lot—like, that relationship kinda carries over.

Aryanna Trejo (04:11):

Yeah. We’re meant to be coworkers.

Eric Cross (04:13):

Yeah. Are you still? Is she still there? Are you both still together?

Aryanna Trejo (04:17):

Yeah, we’re on the same team and it’s nice. I saw her last night for Happy Hour, with another coworker who’s in LA. So we’re tight. And she’s a wonderful, wonderful mentor to me.

Eric Cross (04:28):

That’s great. Did you have computer-science background, when you were doing elementary school teaching? Did you have—

Aryanna Trejo (04:34):

No. <laugh> Not at all. When I was teaching in New York City, I had like four desktop computers in my classroom, and we rarely used them. Which was such a shame. And then when I moved to Los Angeles and taught fifth grade there, we were a one-to-one school, and the joys of that are just amazing. It was just really wonderful to, you know, get the students used to typing on the computer, using different software to submit their assignments. Getting creative—as creative as you can get—with Google Slides. You know, to show off what they know. And stuff like that. That’s all I had, though. And you know, when I transitioned to 9 Dots I was like, “Sure, why not? Let’s give a shot.” And I learned a lot. It was really interesting, yeah.

Eric Cross (05:26):

And so now at Code.org you are…well, so my journey with Code.org, I’ve been in the classroom for eight years. Still in the classroom as of…an hour ago, I was there. <Laugh> And I use Code.org, and I feel like I’ve checked it periodically, and I feel like it’s evolved over the gaps. And I’ve seen it. It’s become more robust in the things that they offer, over the years I’ve been an educator. Just to kind of…could you give a thumbnail sketch? Like, what is Code.org? Who’s it for? Who’s the target audience? What resources are there?

Aryanna Trejo (06:00):

Yeah. So it’s for everyone. It is a nonprofit that provides curriculum and training and a platform for teachers and students. We provide curriculum for K through 12. It’s completely free. And it comes with lesson plans, slideshows, all that. We focus specifically on underrepresented groups. So we have targeted measures for Black students, for Native American students, for students who identify as female. That’s a huge part of our mission. But we’re really working to expand access to computer science to as many students as we can.

Eric Cross (06:41):

One of the things I’m hearing in your story is you were teaching in Compton; you were in Bronx, New York. One of the reasons why I got into the classroom is because of educators, and the impact they made on me in exposing me to science and technologies I’d never had access to. And that intentionality, that you’re going about it…are there…not just the code, but how you bring that across to different groups…are there strategies, or are there ways to connect this idea of coding to diverse groups and diverse audiences? Or is it kind of, the curriculum applies for everyone? ‘Cause in science, when I’m teaching, I’m always trying to make what I’m doing relevant to the backgrounds of my students.

Aryanna Trejo (07:28):

Sure.

Eric Cross (07:28):

So I’m teaching biology, and I’m trying to make this kind of connection. Sometimes it’s more organic; sometimes it feels kind of forced. Because it’s just not always a nice fit. But it sounds like Code.org is really about inclusion. And in the numbers that I’ve seen for representation, in especially computer science software engineers, the groups that you’re focusing on are not necessarily represented in the professional workforce. At least disproportionately.

Aryanna Trejo (07:54):

Yeah, absolutely. Yeah, that’s correct.

Eric Cross (07:57):

And so how do you go about being intentional about reaching groups that we don’t see in, you know, the Silicon Valley software engineers? How do you start that? Like, at a young age, do you look for specific schools in specific areas to say, “We are going to bring this to the school. We’re going out to these populations of the cities”? Because we’re just not seeing…you know, on the map, we’re not seeing anybody really doing anything with coding here. Or we’re not seeing the numbers come out of these areas, out of these cities, of students who are going into STEM or going into computer science fields.

Aryanna Trejo (08:41):

Yeah. I don’t necessarily work on the recruitment side of it, is the issue, in my position. But I do work on the professional learning, that is brought out to teachers. And we have a huge focus on equity throughout the workshops that we create from K–12. It’s something we’re really passionate about. We definitely aim to prepare teachers to teach computer science. That’s a huge part of it. Knowing the content, but also thinking through, “What does recruitment look like at your school to make sure that the demographics of your classroom match the demographics of your entire school?” Also, thinking through, “How can we make sure that female students feel included in your classroom? How can we make sure that we are, giving students creativity to think about, or we are setting students up to be creative and think about the problems that are in their community, and how they can use computer science to solve them, or at least work towards them?”

Eric Cross (09:39):

So solving real-world problems and that inclusion aspect…are there things like…you were saying “female or students who identify as female”…are there things that teachers can do to ensure that they’re being more inclusive? Or to recruit, or encourage more female students to take part? One of the things I was thinking of, that I’ve seen, is I’ve seen coding kind of camps.

Aryanna Trejo (10:06):

Sure.

Eric Cross (10:08):

That were specifically for a female audience. And that seemed to help with recruitment. Is that something that you see on your side?

Aryanna Trejo (10:16):

That’s not something that we set up, no. But the curriculum that I work with is CS Principles. And it’s offered as an Advanced Placement course, as well as an AP class. So that’s a curriculum that’s designed for students who are in grades 10 through 12. And so at that point, we can really talk to teachers and ask them what the recruitment strategy is. But in terms of strategies that teachers can use to recruit those students…I mean, I’ve heard over and over from lots of different teachers who identify as female that they didn’t think that computer science was for them, until they saw a role model in that position. And so just being a role model for those students is really wonderful.

Eric Cross (11:00):

And I see it too, with—like, we do “Draw a Scientist” activity, which is like a popular science thing—

Aryanna Trejo (11:05):

Sure, yeah, I’m familiar.

Eric Cross (11:05):

But it’s the same thing, right? Like, it fleshes out. My students don’t draw themselves as scientists. They draw what they perceive, based on what television says. I imagine with computer science, it’s probably really similar, when you think about “What’s a software engineer look like?” Do students tend to draw themselves? Or is it even a mystery? Because I don’t even know what a software engineer looks like.

Aryanna Trejo (11:28):

Yeah, absolutely. Well, one of the things we love to do with our professional learning workshops is talk about understanding yourself, your identities, how they show up in the classroom as biases. And, you know, things like stereotype threat. We see that as really important to understand, and think through, and consider, before you step into the classroom. So that you’re not, you know, coddling certain groups of students because you don’t believe that they are able to be successful in computer science. Holding all the students to the same expectations and believing that they can succeed. And computer science, I think a lot of the times people have this conception of it being this utopian, bias-less, technocratic field. When in reality, everything has bias. And people talk about algorithmic bias and facial recognition, but also the people who created computers and computer languages have their own bias that comes through. And I think it’s really important to show students that. So that they can, one, know what they’re working with, and two, make sure that they can create products that reduce that bias.

Eric Cross (12:50):

It’s like…it’s not objective, just because we’re creating software. Like, once it gets to a point of being so sophisticated…I think, like, AI software, right? With facial recognition? And we’re seeing more and more articles come out about, you know, predicting trends based on historical data.

Aryanna Trejo (13:12):

Sure.

Eric Cross (13:13):

But then, the trends and things that they’re seeing tend to target things that have happened in the past. But it also doesn’t take into consideration a lot of other factors that can lead to certain groups or populations being identified. And I’ve seen some articles lately about how your code is really just representation of what you put into it. And like you just said, your bias—if you have that, conscious or unconscious—you’re gonna put that into your code. And the input is gonna be an impact, is gonna impact the output.

Aryanna Trejo (13:44):

Yeah, absolutely. Or even just—and I’m ashamed to say this, ’cause this is an idea that came to me just recently, through an article that I read—but computers themselves have bias. The hardware assumes that you have vision, that you can see the screen, that you are able-bodied, that you can use your hands to work the keyboard, the mouse, et cetera, and that you don’t have to use assistive technology. You know, there are small things like that, where we think that technology, like I said, is this utopian, futuristic science…but there are biases throughout.

Eric Cross (14:19):

You’re absolutely right. I’ve never even—I’ve never even considered that. Even though I do use assistive tech, and figure it out, I’ve never thought from the ground up, the process is built for an able-bodied, sighted, hearing person.

Aryanna Trejo (14:31):

Exactly.

Eric Cross (14:32):

To be able to engage with the hardware. And then these other things, these tertiary things that we kind of add on, so that you can do this, but it’s not designed from the ground up for people who are, you know, different audiences, physically. So I’m glad you brought that up, though. Now I’ve seen—and I haven’t done this—but I know Hour of Code is a big thing. And this is something that’s ongoing. Can you talk a little bit about what Hour of Code is? I know it’s, it’s a big thing for the classroom teachers.

Aryanna Trejo (15:08):

Yeah. So Hour of Code is really exciting, and it’s just blossomed from something small to something tremendous. This year is gonna be the 10th Hour of Code. So what it is, is it happens during CS Education Week in December, during Grace Hopper’s—or to honor Grace Hopper’s birthday. She was a computer scientist and Navy Admiral. And basically the aim of it is to get as many students on the computer doing an hour of code, and demystify what coding is. You know, to do seed-planting. To show teachers that this is something that you can facilitate for your students. And also to show students like, “Hey, computer science is something you can absolutely do. Not just for an hour, but more if you want.” So, yeah. Now it’s worldwide, and it’s really exciting.

Eric Cross (15:58):

That’s awesome. And I think about teachers and I still hear the apologetic—when I’m helping teachers in the classroom with education technology—the self-deprecating “I’m a dinosaur; I’m not good with tech,” which is never true. Like, they’re better than they even realize. And I feel like sometimes there’s still a stigma, too. It’s like <laugh> The Simpsons’ Comic Book Store Guy. The condescending tech support person—

Aryanna Trejo (16:27):

Sure.

Eric Cross (16:28):

—who has that tone. And so I feel like some people have been so negatively impacted by that person. So I know when I’m helping people, I actually try to go full-spectrum the other side. But I’m thinking about teachers’ barrier to entry. Sometimes code is like, “Whoa.” And I don’t teach computer science. Do you see those barriers to entry, or at least the perception of them? And then, what’s the reality for like someone listening, and going, “I’m a fourth grade teacher,” or “I’m a humanities teacher in ninth grade.” What’s the perception that you see, versus reality, with the teachers that you train? Is it much more accessible than we think? Or is there a level of sophistication that you have to have coming into it?

Aryanna Trejo (17:10):

No, not at all. I know computer science, and that says a lot! <Laugh> You know, I know my own corner of computer science. And you know, that’s me being self-deprecating, too. But I think learning computer science has helped me in so many different ways that I wasn’t expecting. I recently took the GRE in hopes of, you know, getting back into grad school. And I think just the way that computer science teaches you to search for bugs in your code, or errors, and kind of tirelessly look at a problem from multiple different angles, I was able to carry that into the math that I was doing. And I noticed just a huge difference in the way that I approached it, and the way that I was open to it. But you asked a great question, in regards to the barriers to technology. In my position at 9 Dots, I was working directly with teachers to lead professional development with them. Sometimes it would be a full day; sometimes it would be an hour after school. And the one thing that I always had in my back pocket that was really useful is that I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.” You know, it takes some patience and nobody’s gonna get it perfect 100 percent of the time. Have I banged my head against the wall trying to solve one tiny little syntax error in my code? Absolutely! But it feels absolutely phenomenal to fix that. And I was an English major in undergrad, and I had never done computer science before. So it’s something that becomes really satisfying.

Eric Cross (19:07):

Yeah, I imagine. I had someone—a trainer or a presenter—one time bring up the fact that our students rarely get to see us learn in real time.

Aryanna Trejo (19:19):

Yeah.

Eric Cross (19:19):

So we don’t get to ever really model failure. I mean, unless we’re in a classroom situation <laughs> in our failures, with classroom management. Then they see it, they see it! But they don’t get to see us model learning failure. And I don’t mean like failure—and yes, I know, “first attempt is learning,” and “no such thing as failure”—that’s not what I’m talking about. But just when we’re not successful with our code, and then we experience real-time frustration.

Aryanna Trejo (19:42):

Yep.

Eric Cross (19:42):

And they said that is actually a great learning experience for your students to watch you go through productive struggle. And that was really liberating for me. Because now I’m in the classroom, and I’m trying to go through it with my students, and the beautiful thing was, they started helping me. We were all trying to solve the problem. And then we had this authentic problem-solving experience. I think it was like a Scratch program, where we were trying to solve, trying to embed it somewhere, or something. And then, in the background of the class: “Mr. Cross! I got it! I figured it out!” And it was this really neat bonding experience. And I felt that—your ears get red, and you get hot, ’cause you’re not—

Aryanna Trejo (20:19):

Oh yeah.

Eric Cross (20:20):

You don’t know it! And you’re in front of 36 kids! And I said, “OK, I need to tell them how I feel.”

Aryanna Trejo (20:25):

Yeah.

Eric Cross (20:26):

So I said, “Now I feel really frustrated.” Like, “I want to go through this, and here’s my thoughts.” ‘Cause I knew that it would be helpful if they saw and would hear my thoughts. So I just did a quick think-aloud and I said, “In my head, <laugh> I want to just quit,” I said, “But I realize that this is the part where my learning’s happening. So I just want you all to hear what’s going on in my brain.” And now I feel like when I’m doing coding with my students, and it’s just basic coding, I feel much more comfortable, like, not knowing. But I needed someone to release me from that “I have to be the expert in everything” to do it.

Aryanna Trejo (21:06):

And teachers are used to being the experts. Right? And they should be. And coding is just such a different landscape. But I think once you kind of give over to the power of tinkering, I think it’s really gratifying. I love being able to…you can revise a sentence, and then read your paragraph back to yourself in English, and say, “OK, I get it.” But there’s something so gratifying about changing a line of code or a block and then being able to hit play and watch your program come to life, and say, “Hmm, that’s not quite what I wanted. Let’s try something different.”

Eric Cross (21:39):

I love your connection to tinkering. ‘Cause—I had never thought about it—’cause I love tinkering with my hands. But I always think about physical things. But coding is exactly that. It’s tinkering.

Aryanna Trejo (21:47):

It’s exactly that.

Eric Cross (21:47):

That’s exactly what it is.

Aryanna Trejo (21:49):

And a lot of it is, for me, especially when I’m trying something new, it’s guess-and-check. It’s like, “OK, that didn’t work. What if I add a semicolon here? Will it finally work? Or what if I add a ‘for’ loop? Will this get me what I want?” And it’s wonderful because you have that with students as well. Like, you have that record of their thinking, and you can ask them to go step-by-step and tell you, you know, “First, I added this, because I wanted the program to do this,” and so on and so forth. And so you have that record, but you can always get rid of it. Students often wanna get completely get rid of it. That’s something that I’ve noticed a lot as I’ve taught computer science. But, once you can get them to target the specific parts of the program, tinker with that, and continue, that’s a really wonderful learning space. There was also something you said about modeling failure. I love the fact that in computer science you can model failure for your students. You said to your students, “I’m getting frustrated.” I love that, because I never got that in math. Nobody ever showed me what it was like to be frustrated with graphing a parabola. Right? Like, my math teachers were always like, “Doot, doot, doot, here you go, you’re done!” <Laugh> And I would get so frustrated, because it didn’t come that easily to me. And I think there’s two parts to that. So there’s modeling the learning and the thinking and the productive struggle, but also there’s the identity of being a computer scientist and modeling what that looks like. So for me, when I get really frustrated with a program, I walk away. I take five minutes. I take a deep breath. I say, “I’m not gonna think about it in these five minutes.” And I come back to it. And I think once you start teaching computer science, you can facilitate that for students. And there’s so many different strategies that they can pick up. They can pick up rubber ducking, which is where they pick up a rubber duck or a similar object, and they talk to it as if they were a partner and talk through their code. And oftentimes, as you’re rubber ducking, you’re gonna find that error, because you’re explaining it to someone who’s a stand-in for a novice. And rubber ducking is a well-known strategy for computer scientists who make it their career. You know, there’s pair programming. Some students love pair programming; some students hate it. But the students start to build this identity about how they problem-solve. And how they approach failure. And I just love that.

Eric Cross (24:31):

I’m writing this down. Because the rubber-ducking strategy, I love. I just imagine my seventh graders, a bunch of 13-year-olds with, like, rubber on the desk. And not necessarily in coding, but I was thinking in my science class. And they’re working through a challenge, and they’re all looking at this duck, and they’re talking to it. But I just love the the idea of externalizing your thought process and talking through it yourself so that you can hopefully arrive at a conclusion. But it’s such a great practice, and this is something that’s been around for a long time, apparently. So.

Aryanna Trejo (24:59):

Yeah. Yeah. It’s a real thing. And you know, you can go low-fi. It doesn’t have to be a rubber duck. You can have students talk to their pencils or their imaginary friends. That’s not the issue; the issue is, you know, talking to somebody.

Eric Cross (25:10):

I know you support teachers. But I just wanted to…I was just curious about your typical day, what that’s like. And then what you do, how you support ’em.

Aryanna Trejo (25:15):

So, at my previous job at 9 Dots, I was in there with the teachers in the classrooms. I was coaching our internal staff who went out to co-teach with teachers. And I loved that. And I had such a great impact on a local scale. But now at Code.org, I have a much broader impact. But I don’t get to interface with—that’s such a tech-y word!—I don’t get to interact with—

Eric Cross (25:42):

You work at Code.org! You get to—

Aryanna Trejo (25:42):

I know! But I’m a teacher at heart, forever, right? That’s my identity that I forged when I was 22 years old. And a typical day looks like opening up my computer, taking a look at my calendar. I often have meetings to talk about, different things that we’re doing to support our facilitators who go out to our teachers and lead their workshops for them. I recently worked on a product that was designed for CS principles, teachers, to onboard to the course if they weren’t able to get into an in-person workshop. And it’s completely self-paced, so it gives teachers an on-ramp into the course. And now I’m working on some in-person workshop agendas. So I feel really wonderful that my work is going out to thousands of teachers. But at the same time, I really, really miss talking to teachers. Because that’s something that energizes me so much.

Eric Cross (26:46):

When should students start learning computer science? I feel like we see it in this kind of narrow lane. Like, this is computer science if you make an app. Can it be more than that? As far as like the benefit of computer science? And—I guess two-part question—when should students, one, start being exposed to it? And then two, what are some of the benefits beyond just, “I wanna just make an app”?

Aryanna Trejo (27:08):

I taught coding to kindergartners. It can start as early as you as you want it to. And it doesn’t necessarily need to be on the computer. A lot of students that I worked with didn’t have computers at home, were interacting with computers for the first time. And that’s a huge barrier, of course, to a lot of teachers. But there are so many unplugged lessons that you can do to start to start to have students think about algorithms, which is just a series of steps to complete to solve a problem. As long as a student can use a computer, I think they can do computer science. There are products out there like codeSpark, where students—and Code.org has these products too—where students are moving an avatar around a board, kind of like a quadrant to…you know, they feed the directions to a computer and then the computer enacts it for them. And with that, they can learn algorithms. You know, that is computer science. And a lot of people don’t see it that way, but it really is. And it starts to set students up for more complex thinking as they move on.

Eric Cross (28:13):

One of the biggest underserved communities, geographically, are students in rural areas.

Aryanna Trejo (28:20):

Yep.

Eric Cross (28:21):

They can be reservations; they can be places just not an urban area. Is there a way to serve our communities of students and bring these skills in an unplugged way?

Aryanna Trejo (28:32):

Yeah. Yeah. If you typed in “unplugged computer science lessons” to Google, you’ll have a ton of hits. And there are so many students out there—not just in rural areas. But there’s incarcerated students. It hurts my heart to even say those words, but in urban areas too. Like in my classroom, where I only had four desktop computers. Access is a real struggle. And there’s things, like I said, instead of moving an avatar around a grid on the computer, I used to have an actual mat that I would take out to my kindergarten classrooms, lay it out, and it would have a grid on it. And we’d have one of the students act as the avatar and the rest of the students would give them directions to get to a different point on the grid. And there, you’re building an algorithm or just a series of steps. Like I said, it’s not some fancy term to solve a problem. And there’s multiple ways to solve that problem, too. And I think investigating that can be a really good way to stretch those lessons.

Eric Cross (29:32):

It almost sounds like an oxymoron, but this low-tech computer science strategy. Develop these skills and then transfer that once you have access to the tools.

Aryanna Trejo (29:39):

Yeah. Yeah. Absolutely. And I think it’s a good way for students who need kinesthetic means to start to understand something, or just different learning styles, to start transferring that over.

Eric Cross (29:53):

I probably have students in the classroom where those kinesthetic moving things would help be a great way—or WILL be a great way—for them to learn the principles and the fundamentals of coding. Instead of only giving the option to just do the computer, actually giving them some choice. Or giving them a way to be able to manipulate things. We’re still in the system of education that’s still very siloed. It’s been the same way for a hundred years. We got math and then we got science and we got English. I’m wondering, how can a teacher fit this into their daily lessons? And then, do you have any experiences or stories or things that you’ve seen, just really creative ways that you’ve seen teachers incorporate this? Outside the norm of, “This is a computer science class; we’re just gonna code.” But have you seen it branch out? In the trainings that you’ve done?

Aryanna Trejo (30:40):

I’ve seen examples of that. I’ve seen a teacher use Scratch to demonstrate different climates of California, and show the different climates. This past year for Hour of Code, my friend Amy—the one who helped me move to 9 Dots and at Code.org—she created this incredible tutorial called Poetry Bot. And it was a way to get students to match the mood of the poem to some of the elements that were happening in the stage. So they would have different backgrounds show up at different parts of the poem. When the words would show up, they would have different sprites show up. They would have, sometimes, sounds. Or the text would show up with different animations. So there are cross-curricular opportunities everywhere, if you can be creative enough to find them, or if you beg, borrow, steal from other educators who are doing this incredible work out there.

Eric Cross (31:36):

Yeah. I say this all the time, but I’m an educational DJ, not an MC.

Aryanna Trejo (31:44):

Oh yeah.

Eric Cross (31:45):

So MCs write their lyrics and DJs remix with things that other people have done.

Aryanna Trejo (31:48):

Absolutely.

Eric Cross (31:48):

I was like, I’m a DJ. I was like, all day. Sometimes I’ll write a lyric, once or twice, but most of the time I’m remixing things. So teachers, if you’ve been out there and you got an awesome interdisciplinary thing, or you’ve incorporated coding and it’s something that’s traditionally not seen, please send it to us. Share it with us.

Aryanna Trejo (32:03):

Yeah. And there are so many different places where you can find that. We have a forum for Code.org, but there’s also CSTA, the Computer Science Teachers Association. You can join your local chapter and get to know other computer science teachers out there.

Eric Cross (32:19):

I guess…to wrap up, I’ve been using Scratch programming, the MIT website. My students do the basic animated name, CS First, stuff. But over the years, I’ve noticed that my students are coming in with a higher level of sophistication in Scratch to where now the differentiation…some of my students are just doing very basic…and then I have other students who’ve created full-on video games with complex…like, you look at their Scratch page and it’s just an amazing amount of blocks and integrations and things that they have. Is there anything on Code.org that could be a next step? That takes them beyond, maybe like the visuals? And if so, what would be a good next step, to take students to advance them to another platform? There’s so many coding languages out there, I feel like. Or I might not even be thinking about that the right way.

Aryanna Trejo (33:20):

No, I think you are. You know, we have three different curricula out on our website right now. We have CS Fundamentals, which is probably more in line with what you’re talking about. We have a free CS Discoveries curriculum, and that is designed for, grades, I believe, 6 through 10. And that would be a really good entry point, for both teachers and for students.

Eric Cross (33:44):

There’s a lot of new stuff that I hadn’t seen yet, a few years ago.

Aryanna Trejo (33:49):

Yeah.

Eric Cross (33:49):

So I was really excited.

Aryanna Trejo (33:50):

One thing that I do know is that CS Discovery has just added an artificial intelligence slash machine-learning unit, that you can just pick up and give to your students. You don’t have to go in order with CS Discoveries, like you do with CS Principles. And I’ve gone through some of those lessons. They are really rad. And I would’ve loved to have learned that when I was in middle school or high school. So yeah, we’re constantly thinking of how we can make things one, relevant to our students, and two relevant to what’s going on in the world.

Eric Cross (34:20):

So would I be overselling it if I said, “If you go through this, you’ll be able to create an AI or a neural net to do all your homework”?

Aryanna Trejo (34:26):

You would be overselling it.

Eric Cross (34:27):

I would be? OK. So what I’ll do is, I’ll wait until the end of the school year, and then introduce it, and then by the time they’ve realized it’s not true, they’ll be eighth graders.

Aryanna Trejo (34:35):

There you go. Good old bait-and-switch.

Eric Cross (34:37):

You’re amazing. Thank you for serving teachers, and for being part of such a great organization that puts out great stuff. So much free curricula for teachers to be able to use. Especially nowadays we hunt and scour the internet for those types of things. And to be able to bring computer literacy into the classroom, and with your focus of serving communities of underrepresented groups, it feels good to know that not only is it high-quality material, but it’s also trying to raise everyone up. Because ultimately when we have more people trying to solve a common problem, we come up with better solutions. And I was talking to somebody who was a materials engineer somewhere in Europe, and he said one of the things about the U.S., As he was critiquing me on this flight, critiquing the U.S., He said, “One of the things about your country is that you have a heterogeneous group of people who, in a group, when you have multiple perspectives attacking a problem, you come up with more novel solutions.” He says, “That’s one of the great things, is that there’s not necessarily just a hive mind.” And I think that that’s one of the great things. We uplift different communities, and we uplift women, people of color, people who, have backgrounds that parents didn’t go to college but have these amazing qualities and strengths. And we put everybody focusing on the same issue. We come up with novel solutions that we wouldn’t have come up with if only select groups were trying to look at it and solve it. And so—.

Aryanna Trejo (36:22):

Yeah.

Eric Cross (36:23):

And we couldn’t do that without organizations like yours, that help empower teachers. So.

Aryanna Trejo (36:27):

Yeah! You really said it.

Eric Cross (36:29):

You’re coming to my classroom when you’re back in San Diego?

Aryanna Trejo (36:31):

Yeah! I totally will. Yeah. Let’s make it happen.

Eric Cross (36:34):

Last question. If you think back in your schooling, your own schooling, K through college, is there a person or a teacher that had a big impact on you? Or a learning experience that had an impact on you? And it could be, you know, positive or negative. But something that impacted you, even to this day, that stands out to you, that you remember?

Aryanna Trejo (36:56):

This is a big diversion from the topics that we’re talking about. But in grades 10 through 12, my drama teacher, Mr. Byler, who I still talk with, was such a huge impression on me. Really wonderful. And I couldn’t tell you the teaching moves that he did that were wonderful. I don’t know much about his management. But I can tell you that he gave me space to be confident, and grow into myself, through drama productions. They were high school productions, so they weren’t amazing. But I just really came into myself in high school, because I had the confidence to get on stage. And he was just such a wonderful mentor to all of us. So, props to Mr. Byler.

Eric Cross (37:39):

Shout out to Mr. Byler for creating space for Aryanna to fly! Thanks for making time, after your workday, to talk with us and to share Code.org with teachers.

Aryanna Trejo (37:54):

Of course. Happy to.

Eric Cross (37:59):

Thanks so much for joining me and Aryanna today. We want to hear more about you. If you have any great lessons or ways to keep student engagement high, please email us at stem@amplify.com. Make sure to click subscribe wherever you listen to podcasts. And join our brand new Facebook group, Science Connections: The Community for some extra content.

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What Aryanna Trejo says about science

“I would hear teachers saying things like, ‘Well I just can’t do coding, it’s just too hard for me.’ And I would ask them…Would you say that to your student about math or English? Be as kind to yourself as you would be to your student.”

– Aryanna Trejo

Professional Learning Specialist, Code.org

Meet the guest

Aryanna is a member of the Code.org Professional Learning Team. Before joining Code.org, Aryanna led computer science professional development for K-6 teachers and served as an instructional coach for new educators. She also taught fourth and fifth grade in New York City and Los Angeles. In her spare time, Aryanna loves taking advantage of the California sunshine, creating wheel-thrown pottery, and hanging out with her dog Lola.

Person with curly hair smiling, standing in front of a brick wall. Circular frame with decorative star in the corner.

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!

S3 – 03. Math professional learning experiences with Elham Kazemi

Podcast episode poster for "Math Teacher Lounge" featuring Elham Kazemi, a Mathematics Education Professor at the University of Washington.

How do we continue to grow and be more reflective about our own teaching? In this episode, Bethany Lockhart Johnson and Dan Meyer chat with Elham Kazemi to explore how to look at teaching as a collaborative experiment. Moving more toward analyzing student thinking and how that contributes to teaching itself, leaves more space for one’s own understanding of math to grow throughout your career. When one revises their teaching based on the data we’re collecting from students and peers, this allows us to be both teachers and learners forever.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:04):
Hey folks, welcome to math teacher lounge. My name is Dan Meyer

Bethany Lockhart Johnson (00:07):
And I’m Bethany, Lockhart Johnson.

Dan Meyer (00:09):
And this is the teacher learning week. We’re thinking this week about how we grow as teachers. And to start with, I just wanted to ask Bethany, uh, first Bethany, how are you doing? And second <laugh>. Um, what is, what, what has been your like most favorite and least favorite, most effective least effective professional learning experience when you were a classroom teacher?

Bethany Lockhart Johnson (00:30):
I think for me, most effective was definitely when I could use it right away. Right. Whatever we were talking about, whatever we were learning, like I got to go put it into practice. Sure. Uh, I, I remember we did something where we designed a lesson and then we went and taught it like one person taught it and the rest of the people watched. And then we kind of like got to workshop it, which that was like a one off the fact that we got to go out of our classroom and go observe somebody teaching. It was gold. It was gold. Um, so that was probably the most effective, because there was so much opportunity for reflection and least effective was something that felt like just completely unconnected to, you know, kind of either so theoretical that it wasn’t like touching on what we were navigating right there in the classroom. I don’t know. What about you? What can you think of times that, are you gonna say times you led a PD? Those were the most effective?

Dan Meyer (01:26):
Yeah. My favorite ones are my sessions, of course. But if I had to throw those out for a second, um, yeah, I, I like, I want, I want both, I want it all. I want the, um, the big ideas that take a long time to settle in that also have like small bits that can carve off and use relatively quickly to test my understanding of the ID is, yeah. I’ve had some, some PD where I’m like, this is very relevant to tomorrow. And I also don’t care. Like for instance, like how to use the CD, the, the, like the, the software, you know, on the, on my curriculum, for instance, it’s like, okay, yeah, this is just a little, little too practical. You know what I’m saying? I want some bigger ideas to chew on. Um, I would also say like, I love my favorite PD by a long was writing up thoughts about how the day went and putting that on the internet in a public place that we used to call a blog and where people would come along, cuz there was like 10 blogs and like, tell me like that’s no good.

Dan Meyer (02:16):
Like the thing that you like is not a thing you should like, here’s the thing you should like instead, or try instead, or just this weird community that sprung up, you know, when I was, uh, starting to teach relatively new teacher and uh, I feel like I grew a lot

Bethany Lockhart Johnson (02:28):
Go back to this idea blog. If people would call you, they’d call you on the phone. What, what

Dan Meyer (02:32):
Was they would fax me? They, it would be a fact. So

Bethany Lockhart Johnson (02:35):
Fax,

Dan Meyer (02:36):
I got it. Fax a comment. Yeah. Got it. So, uh, that’s, that’s Bethany and I, and we’re super excited to have people who have a bit broader of a perspective, a bit more of the land than what, what the two of us, um, think about with our own professional learning experiences.

Dan Meyer (02:52):
We’ve invited on an expert. We hope will help us understand alternate ways to do professional learning as teachers to grow as teachers besides, you know, all of us getting into the same room once every, every, uh, few months together, Elm Cosmi is a professor of mathematics education at the university of Washington, Elm studies, how strong professional communities develop in schools and how schools can be organized. So teachers learn from and what their students, this work is informed by equity oriented research on thinking, uh, on children’s mathematical thinking and classroom practice. She is co-author with Allison hints of intentional talk, which focuses on leading productive discussions in mathematics. And she edited coral counting and counting collections with Megan Frankie and Angela tau, which focuses on the importance of counting from preschool to fifth grade. Looking forward to a great chat with Elham, welcome Elham to the show.

Elham Kazemi (03:43):
Thanks for having me, my favorite topic ever to talk with you both about,

Bethany Lockhart Johnson (03:47):
I think something that I just deeply, deeply respected admire is that I feel like you are constantly sharing about how you are learning. You’re continue to learn, continue to, to try out new ideas and you do a very good job of like highlighting things that you’ve learned, whether that’s sharing it through a tweet or sharing it amongst colleagues or peers. And I, I just really appreciate that because I feel like being in the mathematics community with you, I feel like I grow by, I just like paying attention to like, Hey, she’s a learner, she’s done all these amazing things and thinks in these amazing ways and has shifted my thinking in such amazing ways. But she’s saying, Hey, I I’m still learning. So yeah. Hi, thank you. Thank you for your, I don’t know. We’re just glad to have you here.

Elham Kazemi (04:41):
Thanks. I do feel like the perpetual student, like I’ve never left school and I wonder like one day maybe I will, when I grow older, when I grow up, will I ever leave school? Maybe not.

Bethany Lockhart Johnson (04:52):
<laugh>

Dan Meyer (04:53):
Great. Let’s dig in. Yeah. So please tell us you partnered with a school for some professional learning that wasn’t the sort where you would go in and offer brilliant ideas and then leave. But rather it, it seemed like it was more of a job embedded sort, the sort of thing that might have a life of its own after, you know, after the, the grant ends or the program ends. Can you describe what it was you did and what the effect was?

Elham Kazemi (05:15):
I think I wanna first say that everything that I have done and experimented with as really the result of working with fabulous people, teachers, coaches, principals, other, um, colleagues and peers in the field who are constantly trying to work on what good teaching looks like and how you learn to do it. And mostly because we care about kids and we care about what students experience in the classroom. And we want kids to love school, to have school, be a place where they’re known, they’re loved, um, that they look forward to being in every day. And I think there’s that, um, the why that, that, um, per that makes you want to learn is really about the students and being, doing things in service of them. Because when, uh, as one of my colleagues said, when children thrive, teachers thrive. So what does it mean for us to thrive?

Elham Kazemi (06:06):
If we are focused on our kids’ experiences in schools, what we did at this, this particular school and a group of schools is kind of tap into a, all that curiosity and drive that teachers have to do a good job and to use their imaginations well, and to engage the actual ideas that children have in their classroom together, not separately, not like get a great idea and be inspired by it and then go figure it out by yourself, but be inspired by ideas and then try to figure them out together. Because, um, as you both know, very talented teachers, uh, who also have been inspired to change your classroom teaching. Once you figure something out or as you’re figuring it out, there’s all kinds of intricacies. Like I remember when I first learned about three act tasks, I thought what a brilliant idea, but it’s not so simple to try to enact the brilliance of it because you can simplify it too much or you can get stuck and not really know how do you move from one act to the next, or what’s the point of the third act?

Elham Kazemi (07:12):
Do you just like reveal the answer and that’s it. And then you move on. Um, how do you even do design the tasks to begin with all of those things, raise questions and working on them together, uh, and carving up that space and time to work on them together is sorely missing in schools. And so that’s what we were able to do with the schools that I parted and it is find the time and then design the structures so that teachers could, um, <affirmative> think about their teaching together and then also be in the classroom together with kids. So the kids see that we are also learning to be responsive to them. That’s the point. So we have to work stuff out when kids are present, which is the part that usually trips a lot of people up.

Bethany Lockhart Johnson (07:55):
Well, that to me is I think the part that shifted my teaching and continues to is this, it is a culture shift to tell your students, to invite your students into your learning, to tell them I’m, I’m learning too. It was an invitation to, to be vulnerable in a way that I think sometimes teachers are very afraid to be vulnerable. Uh, if they don’t know what the student response is gonna be, or they don’t know, they don’t wanna seem like they don’t know the answers or they don’t know how to figure out a problem. I think that’s a real shift in the, in the culture for, for compared to maybe what we, we experienced growing up.

Dan Meyer (08:33):
I hated not knowing the answer to a math problem. I admitting I, I was uncertain with the mathematics, but to admit that I am like a, a work in aggress as a teacher, feels like an extra admission, an extra layer of humility, which is, I don’t know, it’s a really special thing that you were up to with that school. I’d love to hear like about specific structures that you worked with to help make that transition feel, you know, more natural, more welcoming, more productive.

Elham Kazemi (08:58):
So, I mean, you probably have experienced common planning time, right? This is a thing that often happens for us teachers. I think that common planning time looks a lot sometimes like, uh, what are we gonna do on Monday, Tuesday, Wednesday? Okay. What do we need? What are the materials we need? Who is gonna do that? Will you write this? And that’s what kind of common planning time, and then it’s over. And then you might see each other at lunch and say, well, how did that go? And you’ll talk a little bit about it, but common planning time and learning labs, which is sort of what the, what we call the, the PD that we designed means. Okay. So let’s take three act task. We, we write a little bit about it. We’ve seen a couple, but okay. What would it really mean to plan this particular one?

Elham Kazemi (09:42):
So common planning time is thinking like, how are we gonna launch that first act? What are we actually gonna say? What do we think the kids are gonna say? Why would we say it that way? What if they say something else? Um, and then, okay, so what does it actually sounds like to transition from act one, to act two? What might we say, what would happen with this particular task and actually getting into the details of how you imagine, like, what, what you would do when you were actually planning the specifics of a particular lesson, but leaving it loose enough that you’re not trying to make it perfect. And I think that’s the trick. So, so that you are not so invested, that goes in that particular way or that you fail. If it doesn’t go that way. Um, but that you have something you wanna learn together and trying out this three act task with a particular group of kids so that when you go into the classroom, first of all, you’ve all thought through the full R of the lesson.

Elham Kazemi (10:40):
And you’re curious enough about what’s gonna happen at particular points that you’ve left room for uncertainty and the taking of some risks. So then when you go together into a classroom and kids start to say things that you didn’t anticipate you or, or they start to do something that you’re so jazzed about, that you didn’t anticipate that you’re like, this is the thing we should pursue more. You give each other permission to do that. You’re like, whoa, wait, did you hear what so? And so said, I think we should follow that road and see where it takes us, or, huh. Okay, hold on. And that’s what we call teacher timeouts, where you actually confer briefly and you tell the kids, this is a super special day. We’ve tried to design something. We’re very curious how you are gonna react to it. So we’re gonna try it out. And along the way, we might pause to get your ideas or for us to make some decisions and steer the ship in a, in a new directions and see what happens. So we’re gonna be sitting closely to you among you. Um, and you get to be our teachers today while we teach. That’s how it’s framed.

Bethany Lockhart Johnson (11:46):
Like, what were you seeing in professional development or in that wasn’t happening amongst teachers? Like where, where are the gaps? Because it feels like so much of your work. You’ve just looked in such nuanced ways at how teachers can continue to grow and be more reflective of their own teaching. And I’m just kind of curious where that came from or where you’re seeing the landscape.

Elham Kazemi (12:10):
Yeah, that’s a good question. Well, I, oh, everything I know about, children’s thinking to Megan Frankie and the beautiful body of work called CGI, but, um, one of the things that we noticed, there’s so many great CGI workshops, and even like all the seminars and conference presentations and amazing things that you can design to have engaging work time for teach in, in professional development, outside of their classroom, people get super jazzed, you know, they get, um, uh, they have meaningful experiences, but to contextualize that back into their classrooms with their own students is like where, where often I would see like, wait, the same group of teachers I just saw in my classroom or in either in math methods or in this PD seminar, or even myself, like noticing, like I have seen and thought about stuff a lot. But when I went to go do it with a particular group of kids, holy moly was that so hard. And I saw all kinds of new complexities that I didn’t anticipate. And if I were just left to my own devices, I might very easily say, whew, this seems a little too hard.

Bethany Lockhart Johnson (13:21):
Right,

Elham Kazemi (13:22):
Right. And that’s the thing that I always hated. I was like, oh, if only we had, or you, or if you watched somebody do a demo lesson and you saw something that was like, kind of cool that you wish you had done afterwards. I often this happened in reflections. I wish we had, because we weren’t allowed to interrupt each other during teaching. Cuz somehow that would be rude or that would undermine the teacher’s authority. But that’s only the way we frame it. If we say actually we’re all capable people. So a question we ask ourselves during instruction doesn’t mean you don’t know what you’re doing. It means actually we’re thinking together then the interruptions aren’t about undermining authority. They’re about thinking together.

Dan Meyer (14:04):
There’s a performative aspect to a lot of teaching. Like the like teaching feels like a performance and you don’t, the movie’s playing or there’s a play that’s going on. It feels like inappropriate to interrupt that in any way. Cause the performance is going and I, I love what this that’s. I love what this idea does to kind of, to redefine teaching is not a performance, but this, this co-constructed thing. Or if it’s a performance, it’s a performance, the stars, all of us, like we’re all a part of the cast and always a it’s always the dress rehearsal.

Elham Kazemi (14:30):
<laugh> it is like the dress rehearsal. Although some of my brilliant colleagues with backgrounds in drama and theater, Sarah Kavanaugh and Holly GU and Elizabeth dure, they actually were at a meeting together. And they talked about how this like breaks the fourth wall, you know, mm-hmm, <affirmative> like, which is out of theater, um, where the performer speaks to the audience, you know, I know you’re there and I have something to say to you. Yep. And I was like, well, we should, why can’t we do that in teaching? So we actually wrote a little paper, um, that’s called breaking the fourth wall as a way. That’s so cool as a metaphor for understanding and reframing what these interruptions could meet. Cuz we often get people when we about this for academic audience who say like, aren’t you using the children and what are the children gonna do while you just pause? Are they supposed to freeze? And uh, you know, while you talk about them, but it’s not really that it’s like, Hey students, we’re here because of you. So shouldn’t, we try to involve you and are decision making. To some extent, it’s not like we don’t know what we’re doing, but we’re doing things because we wanna advance your learning.

Bethany Lockhart Johnson (15:40):
I mean, I still remember the first time I did a teacher time out and it, it was, I, it was breaking the four, it was this like, okay, you’re gonna see what happens, kids like, look at my, my tap dances stopped. And you’re you mean like, you know, whoa, wait a second. And I think it is about how you frame it. Right? It’s a celebration of their thinking and you, you use the term ambitious teaching and it, to me that is such a joyful way to think about it.

Elham Kazemi (16:06):
It is risky. And you would never say anything to shame any student, no. Or to shame your colleagues. Clearly it’s not a about that kind of discussion. Right. And they’re so brief. They’re like, it, it seconds. It’s not like you’re wasting time. You’re actually trying to understand what’s happening here. And I’ve just had so many instances where something goes on. Um, like we were doing a growing patterns task in a classroom and the student built the fourth term and they built stuff that did not follow the pattern. And I was so confused. I, I just didn’t understand like what was going on. And one of the kids said, well, if you, if you did follow the pattern, that’s not her words. But you know, she’s like, well, if we built it this way, that would be too obvious. Because if you just, if you saw that and you’re like, oh, that lesson failed.

Elham Kazemi (16:59):
Now we, our kids don’t understand what patterns are. We did it. Like, we gotta pause here and we gotta say, and we’re like, well, what do you mean? Can you say more about that? And basically what they said is that, um, well, first of all, they’re, they’re right. A pattern could change at any time, but it’s like, it would be more interesting if they, they knew how many cubes it would take for the fourth term that it would be nine, but they’re like, Hey, let’s rearrange that nine in some cool new ways. <laugh> cause that’s more interesting. It was like more interesting to them if, if they didn’t keep the pattern. So like, you kind of had to wrestle with that in the moment <affirmative> with them. And that’s how they can actually be partners with you in the teacher, timeout.

Bethany Lockhart Johnson (17:40):
Right. That’s making it about them and their learning. It’s not about that. It’s not about your performance and like looking all shiny and, and I’ve got it all together and I know exactly how this lesson’s gonna go. It that’s so interesting.

Elham Kazemi (17:53):
And sometimes you pause and like some cuz somebody else who’s watching is noticing something about what the kids are doing. And while you’re, if you’re happen to be the person who’s upfront at the time leading, you’ve got so many things going on in your head that some times the person who’s just been sitting on the rug with the kids mm-hmm <affirmative> has noticed something. And they’re like, can I ask something right now? And that’s a great teacher timeout too. Mm. Because they’re interrupting you cuz they’re like, I think I, I wanna see what kids will say. If we ask this question next and those moments have been like amazing because someone has noticed something that another person hasn’t in the room and it’s been very helpful to illuminate how kids are processing something or what two ideas they could connect. That would be really powerful based on what we were hoping to learn that day or do with the kids that day.

Dan Meyer (18:47):
It’s like you have a bonus brain attached to you there in the room. Sounds really powerful. I wonder a couple about the student experience of this. I’m imagine if I was a student in the room and I heard the two teachers like kind of pause, take this time out and like talk about how interesting my thinking was like behind my back a little bit, like trying to strategize about something interesting. I had said, I just imagine I would, I would feel very good about like, that would be a very positive experience for me. Um, but I’m just curious, can you speak to how students reacted when they’re,

Bethany Lockhart Johnson (19:16):
You mean, if you had been a student in the class and you saw two teachers conferring about your work?

Dan Meyer (19:21):
Yeah. Yeah. Like I, my classmates had of thing that was like, it, it kind of like was so novel that it stymied the teachers and then they like had to pause and like talk about what are we doing? Oh, I don’t know. I can imagine that’d be like know a fun feeling. Maybe I just tell more about me than about the kids, but

Elham Kazemi (19:35):
<laugh> it points to like, how would you go about starting to do this work? Right. Because one is you do, you do have to tell kids, Hey, I’m here with so and so and so, and so, and so, and so it might be just two of you. It might be five of you. It might be more and you know how we’ve been working on X thing in class? Well, today we wanted to try this new thing and, but we’re not sure how it’s gonna go and we need, we need your feedback. Right. So here’s something that might happen. We might pause you, you, I mean, you really do directly tell the kids to do that. And then we’re gonna ask you how it felt and we’re gonna share those feelings with one another. So you do that, you do a little exit card or you,

Bethany Lockhart Johnson (20:19):
How, what felt the pause or how,

Elham Kazemi (20:22):
How, yeah. How did it feel that, how did this lesson go or how did a lesson, how did it feel when you heard, you know, ALM and Dan talk to each other, doing this lesson and they might say, Hey, it’s cool. It’s fun. Kids have definitely chimed in, in like, if we ask a question like, should we do this next or this, somebody will pipe in and say, do that, you know, do this thing. Instead. If, if you kind of pipe in to say, can I ask a question? They just turn to you and look at you and answer your question. Right. So, and we always thank them and we just like pump it up. Right? Like this is so cool because this is all about you. And usually when you say today, you’re gonna be our teachers, especially the little kids. They like get all giggly. Totally.

Bethany Lockhart Johnson (21:02):
Right.

Elham Kazemi (21:04):
Love it.

Bethany Lockhart Johnson (21:05):
You know, you, you were sharing about this really unique situation, which I wish it wasn’t as unique where you had the whole school involved, but how did that happen? And what if you don’t have the whole school involved? What if it’s just me in my grade level, who’s like, I kind of wanna try this, but what

Elham Kazemi (21:22):
<laugh>, I think you could start with your, a peer in your school or a colleague in your school. Yeah. I mean, it’s a little seed, right. And it’s a little seed and then you could make it grow. I also believe in starting small and growing, cuz you do have to invite people into a different way of thinking about what it means to learn together. So you need to experience it, um, in order to believe it.

Dan Meyer (21:49):
Yeah. It feels like we would not want to write off any student as like, oh, they just don’t wanna learn. I think a lot of, a lot of us just like don’t buy that, that there’s other reasons why people need that. A teacher shouldn’t like shouldn’t, that’s not true of students that they have been told they can’t learn or there’s various circumstances the same. I, I suppose the same as like should be true is true of teachers. Like no teacher doesn’t want to learn more about teaching is at least a helpful Axiom to use, to approach the work of teacher growth. And so maybe they, yeah, maybe I feel like I’m the only person in my school who wants to do this, but perhaps that’s not actually true. Perhaps it’s just a matter of creating an imagination or the right kind of enticement or I don’t know what, um, but to start small and grow from there makes a lot of sense.

Elham Kazemi (22:32):
I feel now, like it would be weird and a lot harder for me to invite someone to just come in and watch me teach and sit quietly in the back when I don’t know anything about what they’re thinking and wait until afterwards to get their opinion.

Bethany Lockhart Johnson (22:46):
Oh yes.

Elham Kazemi (22:47):
I would be much more willing to co-plan with someone so that we were both on the same page about what we were trying to do and then when you’re in the classroom with me. So that’s the other thing that’s important cuz I don’t think you can just be in the classroom together and I, you know, interrupt each other’s teachers, if you haven’t planned together, cuz you do have to have some common understanding of what are we trying to do here? Oh the

Dan Meyer (23:10):
Intent here.

Elham Kazemi (23:11):
Yeah. So I would definitely say don’t just show up in each other’s classroom and start interrupting each other. <laugh> if you don’t know what the heck is going on. Yeah.

Dan Meyer (23:21):
Yeah. I, I know that’s directed at one person on this call in particular. I hear that.

Elham Kazemi (23:25):
I know who we’re talking about, but you know, I would be way more intimidating for me if I was trying to do a three act task and Dan just came to watch me do it <laugh> and he hadn’t planned with me. He didn’t know why I selected that task. I had no opportunity to talk to him. Then it would be, Hey Dan, would you just like do this with me? Let’s think through this. Why would you do this then? What, what have you normally done? Oh, okay. Why have you done that? Right. And then to like, okay, let’s try it together. Um, and then, and then along the way, if I have questions, you’re there with me. So sometimes there is someone more experience like if right. And sometimes you’re both just like, I just don’t have that much experience with this. I’m learning this for the first time.

Elham Kazemi (24:04):
Right. And the beauty of the math ed community, whether it’s on Twitter or is that we’re kind of pretty accessible to each other. Right. So if I read something and I have a question about it, you bet I’m gonna reach out to the author <laugh> and say, I’ve been thinking about your work and this is what’s been coming up for us. Can you? So like, it definitely happened with hands down conversations. We tried it in the learning lab and we just couldn’t figure out like that. How do you intercede, like into the hands down conversation cuz the kids are supposed to have a conversation. So we had to like give Kaia and her co-author a few specific examples so they could help our thinking so that we could try it again. Right. And make it better. And I think that is, is what it means to be learning in community is that you use the resources more broadly.

Bethany Lockhart Johnson (24:52):
That’s a beautiful reminder too. And it also helps me feel a little better about all the messages I’ve sent you. Like what does this mean? Can you help me with this?

Elham Kazemi (24:59):
<laugh> I mean, that just makes you feel alive. <laugh> I think

Bethany Lockhart Johnson (25:06):
So. I think P part of the beauty of you talking about starting small is that it does give those of us who maybe aren’t seeing that those opportunities for collaboration reflected in our school culture, it gives us kind of some hope for like, wait, don’t just like, think you can’t start. I, how do you, how do you see, how do you see it growing? Or, or do you think like if you could magically <laugh> like wave your wand and, and create some shifts around, around, uh, the culture where folks are feeling isolated or maybe don’t feel like they have the needs to do this work. What could that look like?

Elham Kazemi (25:51):
Yeah. What could that look like? So time, like we need some imagination around the use of time in schools and I have seen some really amazing opportunities where teachers get to co-teach, which means that they really have to co-plan when, um, there’s a break in a regular school session and there’s like an intercession or like a, like an elective that, um, that doesn’t, I haven’t seen it happen a lot in public schools, but I have seen it happen a lot in independent schools where they’ll have like, stop, stop the presses. It’s like a drop everything and read, but it’s like a drop everything and do an R arts week. And then all the kids in the school get shuffled. So they into multiage groupings and the teachers get to plan something special for like the week. But you could start with like a day, which would at least get you to plan something together and try to teach together and be just in each other’s spaces. And I think that might be kind of an interesting way to start where you have to like mess with the schedule somehow. Cuz the schedule is the beast in schools

Bethany Lockhart Johnson (26:59):
Is kind of the first step. Like we are going to create a shared activity, a shared instructional goal, a shared like where do I start?

Elham Kazemi (27:09):
What, where do you start? I mean, there’s so many good books. We all read, start with something that grabs your imagination. That you’re like, if I got to do this in my class, I’d be so jazzed. And I think my kids would love it. Why would they love it? You know, whatever it is. There’s so many good ideas that people are instantly blogging about publishing, um, slow reveal graphs. I love those two. I have like all these things. I was like, I would love to try these out, but I, I gotta do them with somebody cuz I need a sounding board about like how, what does it mean to do it well? And what does it mean to just do it at the surface level and do it a, you know, in a kind of a crappy way. And we don’t wanna do a crappy job. We wanna do a good job, but you have to start, you have to start sometimes in an awkward, crappy way. Like, you know, and get past that stage. Cause often we try a bunch of stuff, eh, and then we drop it. But like you gotta work on it to make it really

Bethany Lockhart Johnson (27:58):
Good. And if you’ve already tried it and it didn’t go so well it’s, this could be an invitation, like, you know, it doesn’t mean give up on the idea. It means like, Hey let, let’s let’s collaborate. Let’s you know, come into my class. Let’s co plan this.

Elham Kazemi (28:10):
So I would challenge people to think about the schedule. <laugh> try to do something just a little bit different. You know, like when we do learning labs, people are like, well, how do you do that? And there’s no money for it. Actually. We just use our money in a slightly different way to make or that everybody four people get a sub, which I know right now, sub shortages is crazy, crazy, but then combine your classes or do something different. Yeah. You know, um, involve people differently somehow in your, in your school environment to get that time,

Bethany Lockhart Johnson (28:43):
Really see this as a priority. This is a, this is there’s is intense value in this time to collaborate. Yeah.

Elham Kazemi (28:51):
Yeah. There’s so many side benefits for, I think for kids and teachers when you’re able to do this.

Dan Meyer (28:58):
Yeah. You’ve heard of folks. Uh, usually our, our math teacher challenge, our lounge challenge has been, uh, pedagogical in nature or a new CU. And uh, this is a different kind of one. This is, uh, go, go be a Rabel Razr go Rouse rabble at your, uh, front office and figure out the right way to get some funding or some time or shuffle a master schedule in such a way that you have collaboration, time to plan to co-teach to interrupt one another and uh, let us know how it goes. We are super excited and super interested in all of that. Thank you, uh, Elham for being with us here today and sharing all of your wisdom about how teachers grow.

Elham Kazemi (29:36):
Thanks for reminding me. You too loved

Bethany Lockhart Johnson (29:38):
It. We’re never done learning. We’re never done learning. Nope.

Bethany Lockhart Johnson (29:44):
Aha. Thank you so much for joining us in the lounge. I think all of us have sat through effective and ineffective professional learning sessions and just helping us to envision of how this can truly help PD can truly transform our classrooms. It is it’s exciting. It’s exciting. And I think we’ve all learned a lot from our conversation. So thank you. Thank you. Thank you. And don’t forget, you can connect with us in the lounge on Facebook at math teacher lounge or on Twitter at MTL show. Let’s keep this conversation going. Keep it going. Thanks so much for joining us. Thanks

Speaker 4 (30:20):
Everybody. <silence>.

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What Elham Kazemi says about math

“ When children thrive, teachers thrive. So what does it mean for us to thrive if we are focused on our kids’ experiences at school?”

– Elham Kazemi

Professor of Mathematics Education, University of Washington

Meet the guest

Elham Kazemi is a professor of mathematics education at the University of Washington. She studies how strong professional communities develop in schools and how schools can be organized so teachers learn from and with their students. This work is informed by equity-oriented research on organizational learning, children’s mathematical thinking, and classroom practice.  She is co-author with Allison Hintz of Intentional Talk, which focuses on leading productive discussions in mathematics. She also edited Choral Counting and Counting Collections with Megan Franke and Angela Turrou, which focuses on the importance of counting from preschool to 5th grade.

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About Math Teacher Lounge: The podcast

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

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S3 – 05. Developing an asset orientation with Lani Horn

Math Teacher Lounge podcast featuring Lani Horn, a professor at Vanderbilt University, on developing an asset orientation.

In this episode, math education professor Lani Horn shares with us what it means to have an asset orientation towards students, contrasting it with a deficit orientation, and helping Bethany and Dan understand the many ways students experience one or the other. Their conversation hit both high notes and low notes and included a challenge that Bethany and Dan both found extremely valuable for helping a teacher develop an asset orientation towards their students.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:03)

Welcome back to Math Teacher Lounge, folks. My name is Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:09):

We’re so excited to be here with you folks and with our guest today, tackling big questions about mathematics. I wanna ask Bethany first though: Bethany, it’s been kind of a challenging couple of years for those of us in education, near education, just in life in general, of course. But I woke up this morning and the sun was out; the weather was perfect and crisp here in Oakland; and I found myself feeling optimistic, a sense of hopefulness. And I was wondering to myself, “What is Bethany feeling hopeful about in math education right now?” What’s got you juiced up a little bit?

Bethany Lockhart Johnson (00:40):

I gotta say, that optimism, Dan, look at that! I can actually feel the sunshine just pouring through the microphone! So I thank you for asking. What am I feeling optimistic about in math education? Hmm. OK, this is gonna sound a little bit cop-out-y, but I have been so completely jazzed about not only our podcast, but the conversations that I’ve been seeing circulating in other math podcasts that are out there around curriculum, around new books coming out. It just feels like despite overwhelm, despite exhaustion, that most teachers really do love learning. And so there’s like that kernel. And so I just feel like there’s books on my shelf I wanna read; there’s podcasts in the queue I wanna listen to; and summertime is the best, best time to do it.

Dan Meyer (01:39):

People still feel hungry out there for learning. They know the importance of the craft and its impact on students. And, yeah, people are tired, but also it is so cool to see people still jazzed about learning more about how to teach students more effectively. Me, I’m excited right now, I have a very specific excitement right now, which is that today we announced that Desmos, where I work, and Amplify, our sponsor, are no longer gonna be two separate things. That we are joining together. That I, and all these people who have done so much work over the last 10 years developing digital math technology, we’re gonna go and work inside of Amplify as a division called Desmos Classroom. And we’re so excited that…what we cracked, I think, at Desmos, is a way of thinking about how teachers and their tools—computers, for instance—interact with students in math. And I love what we did there. But we never really cracked the question of, “How do you support entire school systems in taking up these ideas and tools?” And Amplify has really done that. So I’m super-excited to partner up there. That’s what I’m optimistic about and happy about.

Bethany Lockhart Johnson (02:40):

Congratulations! That’s a huge transition, and I’m just so excited about the amazing work that both Amplify and Desmos do. But then, the idea of Desmos being in more classrooms? Those tools being available for more students? With the reach? I mean, I’m just excited! It’s a big day, Dan.

Dan Meyer (03:00):

Thank you. Yes, exciting day. And I’m excited about also about our guest we’re bringing on today. How’s that for a segue? I’ll be excited to hear what our guest is excited about in math education. I just wanna say that what our guest, Lani Horn, Professor Lani Horn, has exposed us to is this idea of an asset orientation and its importance. And I do think I’m not over-exaggerating or overstating to say that the idea of an asset orientation towards students and their thinking has been possibly the most transformative idea for me in the last five years of being an educator. And adopting it has led to my favorite lessons, my favorite teaching experiences, my favorite relationships with students. I say all that—you know, I don’t wanna gas things up too much; is that too high of a bar here to have expectations? But it really has been tremendous! And Lani Horn gave a talk several years ago called “An Asset Orientation Is Everything,” which really changed the game up for me. And Bethany watched it as well. So that’s why I’m so excited to have on the person who gave that talk. And who’s done so much research around what an asset orientation offers students and teachers. So we’re bringing on today Lani Horn, who is a professor of mathematics education at Vanderbilt University, Peabody College, who centers her research on ways to make authentic mathematics, ambitious math teaching, accessible to students and teachers, particularly those who have been historically marginalized by our educational system. I think Lani has just a beating heart for students, yes, but also really respects the work of teaching in ways I think are so needed and sometimes uncommon in the world of math-education research. So Lani, thank you so much for coming on and joining us in the Lounge.

Lani Horn (04:41):

Thanks for having me.

Dan Meyer (04:44):

We would love to know what you are excited about and optimistic about right now in the world of mathematics education. What’s got you a little bit gassed up?

Lani Horn (04:52):

Up, gassed up? Hmm. Let me reframe it, ’cause I don’t know if I’m gassed up, but I’m cautiously hopeful that maybe that in the wake of the interrupted learning that’s been sort of widespread during the pandemic that maybe we’ll get some traction around more strategies for teaching in heterogeneous classrooms. Which I think every classroom is, to varying extents: a heterogeneous classroom. And I was talking with a colleague the other day about this idea of hmm, maybe modeling would be a really cool thing to focus teachers on. Doing some more mathematical modeling across the grade levels. Because it just seems like there’s a lot of opportunities for kids to kind of catch up on ideas and understandings that they may not have fully grasped because of interrupted learning, interrupted schooling. But also with room to engage in a lot of ideas. So we were playing with that and I was like, “Gosh, that’d be pretty cool if people took that on more broadly.” ‘Cause I don’t think that there’s been enough conversations about meaningful differentiation in that kind of way, like at the level of curriculum. So I would love to see an upsurge in interest in that kind of stuff, ’cause that’s a big place where I have a lot of passion, so I’m ready! I’m ready for people to ask questions about that. And actually it’s really very, very, very closely related to the topic today of having an asset orientation towards students.

Bethany Lockhart Johnson (06:34):

First of all, I’m so excited to have you on Math Teacher Lounge, have you in the Lounge, and get to talk to you, because when Dan sent me this talk, my first thing was, “Oh, I think I know what asset orientation is and looks like.” You know, you kind of hypothesize about what you think it’s going to be. And then you started talking and I’m like, “Wait, wait, why am I just hearing this now?” So I thought I knew what it was, but really I felt like there was so much to unpack. And I would just love for you to share with our listeners, in case they are like, “Oh, asset orientation, I know what that is. I’ve got it. My students have got it.” What is it? And why does it matter so much to our teachers?

Lani Horn (07:19):

The most obvious point is that asset is the opposite of deficit, right? And we know that deficit thinking is very harmful to students. That there’s a real teacher-expectation bias that that kids pick up on, that we communicate indirectly to students and that impacts their learning and their ability to meet our academic expectations and, other expectations in classrooms. So an asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching.

Dan Meyer (07:54):

So that’s a really fantastic starting spot there. And I think what’s initially surprising to me about the research you cited in your talk, that is built around an asset orientation, is how…I think if you come at learning from a—I guess in research, they call a cognitivist frame, where learning happens when teachers say the right things that make a transfer from the teacher’s brain to the student’s brain. A lot of what you’re describing is very counterintuitive, I think. The asset orientation describes a teacher’s kind of subtle disposition. It’s not what, like what they’re saying exactly. It’s what they communicate in the subtext and the body language, that all emanates from some perspective on students and the idea that that filters down somehow and students pick up on that—like a smell in the air—and that determines a lot of their learning, I think is one part of your talk and the research that I thought was really surprising. How close is that to like how this actually works? And can you add to that description or pivot it a little bit?

Lani Horn (08:54):

Expansion of the sort of cognitive framing of teacher and student interaction…part of what’s really hard about developing and maintaining an asset orientation is that schools are organized in ways that rank and sort children. And so when we are just using the everyday language of schooling, sometimes we’re injecting these preconceived deficit notions of students into our talk and into how we’re thinking about, interpreting, looking at students. So not only is this interruption a sort of a cognitive lens on teacher-student interaction, but it’s really looking at how the social environment is setting teacher-student interaction to take on certain kinds of framings.

Dan Meyer (09:44):

This is what I mean about Lani having such a generous frame towards teachers and the work of teaching. I wonder, though, if you could help us make concrete how an asset and deficit orientation might play out in a hypothetical classroom interaction.

Lani Horn (10:00):

Sure. A really commonplace example is a teacher has a group of students. It’s October or November. So there’s already been a few assessments. And that gives the teacher an idea who the strong students are and who the struggling students are. And they’re having a classroom conversation. And someone who hasn’t performed well, a kid who hasn’t performed well on those assessments—the teacher poses a question. A kid who hasn’t performed well on the assessments is called on. And they sort of hesitate in formulating their response. And the teacher with that lens of “this is a struggling student” then may have to make a decision: “Do I persist? Do I support this kid? Do I help them formulate an answer? Do I try to draw out their thinking anyway? Or do I move on to a kid who is academically performed better in my class?” And I would say that a lot of teachers in that situation would very understandably say, “OK, I get it. You’re not a strong math student. You’re not confident in my class. I’m gonna move on because I need to get through this lesson to somebody who I know is gonna provide me with a correct answer.” And they do it also out of, sometimes, a sense of care, of not wanting to put that student on the spot. However, part of what is another unintended result of making that choice is instead of trying out that student’s thinking, listen to their sort of, maybe, hesitant answer, and trying to find the kernel in it that maybe could be supported and amplified, that kid then loses an opportunity to have their idea be a part of the whole class’s mathematical conversation. Completely common, completely understandable kind of interaction that I see all the time.

Bethany Lockhart Johnson (11:52):

That feels so huge. And that I can actually picture that happening.

Lani Horn (11:56):

Of course. We’ve all seen it. We’ve all done it.

Bethany Lockhart Johnson (11:58):

We’ve all seen it and done it. And I think it’s so key that you mention often it’s from a place of care. Of “I want that student to—look, I called on you; you’re a part of the conversation; you’re a part of our community.” But with it, I brought all of that other information that I think I have about that kiddo. Right? And how I think they’re struggling or navigating the question. And “Here, I’ll help by…” You know? But what I immediately thought of is how much the other students also pick up on that, right?

Lani Horn (12:36):

Of course.

Bethany Lockhart Johnson (12:36):

I remember this time, this student in my class, a student who had struggled on some of the work we were doing, she came up and she shared her work. And then another student kind of like, it was almost like a strange little pat on the back, like, “Look at that! You did it!” And like really said it in a tone of…like, you’re 5, where did that come from?? How had I set up that student to be—I really had to step back and say, “What role have I played in making this student seem like she wasn’t capable of what she had just solved?” It was such a learning moment for me. Because I don’t think teachers do it maliciously, you know, or even consciously.

Lani Horn (13:33):

Absolutely.

Bethany Lockhart Johnson (13:34):

And it was so huge.

Lani Horn (13:36):

Thanks for sharing that, Bethany, wow.

Dan Meyer (13:38):

Even in your description, Lani, you mentioned how the need to keep the class moving to fit, again, a policy that teachers didn’t impose, that we have 45 minutes and way too many standards to cover in that many days…I wanna ask you about growth mindset. It feels like every last teacher on earth has finally got the memo about growth mindset. We all know it’s the good mindset and that the bad one is fixed mindset. And we have the posters. The posters have been distributed. <laugh> A nationwide mobilization.

Bethany Lockhart Johnson (14:07):

I automatically pictured the posters.

Lani Horn (14:09):

<laugh> Of course.

Dan Meyer (14:11):

We’ve got the posters up, people! So we’re good! And now here comes asset orientation, which has some of the similar kinds of happy feelings, good vibes, about teaching and students and learning. So I was just wondering if you could help us kind of differentiate those two kinds of concepts.

Lani Horn (14:28):

I think that an asset orientation is something you’re never done cultivating. I think it’s an ongoing stance that you have to constantly reset and reexamine. And it is recognizing the links to the social categories that students inhabit, the identities that they bring with them, the bodies that they live in, the different abilities and disabilities. And it’s actually a place where, when you really engage this work in a meaningful way, I think it has the potential to make you kind of a better human being. Because you have to constantly say, “Gosh, why did I do that? What is it that my expectation was? Why am I having such a hard time with this particular student, finding something that they’re smart at, something that they’re really good at?” ‘Cause that’s the question. That’s the asset orientation question. You look at your students and you say, “What is it that they are smart about? How are they smart? I understand that school values this; I understand that my assessments value this; but what are they smart at? And how could I bring that into the meaningful work of my classroom?” Which is a very hard question sometimes.

Dan Meyer (16:03):

Yeah. Oh, so many thoughts here. Like one, I just feel like it’s such a value for teachers, for anyone, to have a big, clear, unanswerable-in-your-lifetime question to motivate your work in teaching. If you don’t have that, then the job is too small, basically. So I love that it’s a question that offers ways to dig in every single day. Every interaction is an opportunity, and it will never be answered. That’s wonderful. I love how I just feel like there’s…sometimes we have conversations with Lounge guests, Bethany, where it really gets out of the realm of the school. And it starts to creep on in to the personal life. It starts to creep on in to the spiritual life. And I find, with this sort of idea—the value of a human being—I feel when I have an asset orientation towards my key relationship in my life—my best friends, my spouse, all these things—that that’s an indication to me of a really big and valuable idea. And the question of the difference between growth mindset and asset orientation, I wonder if it’s relevant here that a growth mindset is a concept that was studied and originated by an education psychologist, Carol Dweck, and you are someone who operates with a social-cultural frame that considers more than the student’s mind in the unit of a student, but like what is going on and what are Bethany’s students perceiving in that moment you described, Bethany, that was you and a student, but everyone kind of feels what’s going on. I wonder if that’s a useful differentiator here. Do you have any thoughts about that?

Lani Horn (17:30):

Yes. I do think that the anthropological perspective that I take—where I really look at the cultural sources of these perspectives and these expectations and narratives, I would say, about who can learn math—are really, really important. And they’re part of what sometimes becomes invisible in the classroom. Though those are a really, really important part of the ongoing work of developing an asset orientation. And of course, I come to it from my own personal experience. I was an undergraduate math major. And sometimes by the time I got to my senior seminars, I was the only woman in the room. And you know, I felt that. I felt the stigma of low expectations. I felt the missed opportunities to dig deeper because people were trying to protect me from being wrong and embarrassing myself. And so on. So it’s personal. And of course we see this applying to other social categories as well. We know that the bias is not just against women in math, but people of color, against people with different kinds of abilities, and so on. So I think that that’s why it’s sort of this ongoing personal work. And I think, too, that we will inevitably in the course of committing ourselves to this find students who challenge us, especially in our society right now, the way things are so fractured. You know, what if you have a student in your classroom who holds political views that you find really odious? How do you find a way to engage that student in a way that respects what they do have to offer to your class, while also making sure that the class is a safe place for everybody? I mean, those are really, really complex dynamics to manage. And, you know, I can talk a lot about that too.

Dan Meyer (19:30):

What a job; what a job. Yeah.

Bethany Lockhart Johnson (19:33):

I was really struck, too, because I feel, like Dan said, we’ve gotten the posters. And not to undermine the power of growth mindset—I think it has impacted many, many students and communities—but it sometimes stops there. The conversation stops there. Well, you know, we have a chant we do every day. We have the poster on the wall. My students have a growth mindset. And I think what I really appreciated in your talk, and as I’ve learned about your work, is the invitation to teachers to be vulnerable and to really look at… I do feel like even sharing that story, you put a certain amount of vulnerability of, like, have I failed in some way? But I care about my students. I’m committed to cultivating a safe space. So I guess something I’m really curious about is: what do you think needs to happen or needs to be possible for teachers to further cultivate an asset orientation? Because even the ability to pause and to be reflective, sometimes it doesn’t seem possible. So I think it’s beyond just the teacher, but in the school, the district…what are some things you feel?

Lani Horn (20:49):

Are you letting me be the queen of designing schools? ‘Cause that’s a job I’ve always wanted! <laugh> OK. So if I were the queen of designing schools, teachers would have fewer student contacts.

Bethany Lockhart Johnson (21:04):

Say more.

Lani Horn (21:05):

When I taught high school, I had sometimes…I think the most I got was 180 student contacts a day.

Bethany Lockhart Johnson (21:12):

Wow.

Lani Horn (21:13):

So when you’re looking at 180 kids a day, that is just sort of a capacity issue. How am I supposed to really look meaningfully at each of those individual people and find what’s valuable and strong and smart about each of them? I think that in the U.S., teachers have more instructional time than any other developed country. We need more planning time. Because that’s an opportunity to consult with colleagues. Sometimes when we encounter students where we do have that personal struggle of, “Oh, gosh, I am really having a hard time connecting with you and seeing your strengths,” wouldn’t it be great to be able to go to their last year’s teacher or their English teacher or some other teacher and say, “Can you tell me about your experiences with this student? Because I’m really wanting to connect and I’m having trouble.” And wouldn’t that be wonderful if we had resources to do that? The other thing I would do is I would get rid of a lot of the meaningless accountability, which I have found has only amplified sort of the sorting, and sort of put a technocratic veneer over kids’ deficit thinking about their own selves. Kids get a printout saying that they’re “below basic” and you say, “Hey, that was a really good idea!” And they don’t believe you ’cause they have this printout that puts them in a different category, so there’s no way they could be good at math. So I think we’ve really done a lot of harm in the annual testing of kids in that way. Especially with the individual reporting. And often the metrics we’re using to do that are not designed to be disaggregated to the individual level. So we have a lot of measurement problems. I’m kind of going back to your question before, Dan, about what’s the difference between growth mindset and an asset orientation. I think that sometimes—I don’t think this is the way Carol Dweck intended it, but I think sometimes—and I’ve seen her rebut the way it’s been used in schools—but I think sometimes the way that growth mindset has been used in schools kind of brings it back to an individual problem: “We don’t have unequal funding in our school system! We don’t have systemic racism! We don’t have childhood poverty and malnourishment! It’s just about having the right mindset!” And we know that all of those other things have a huge impact on who engages in school and who’s able to get access to schooling and the formal learning that goes on there. And so there’s a little bit of an erasure that happens in the way that growth mindset has been taken up, and putting the onus back on students and teachers as opposed to going, “Wow, we’re in this system where the cards are stacked a certain way, and I have to somehow navigate that as a teacher and figure out how to hold you up in a system that is trying to push you down.” Which is a really different kind of job than to put a poster on my wall and do a chant in the morning.

Bethany Lockhart Johnson (24:39):

And I’m wondering, if you were looking at how you would hope that asset orientation gets brought into the classroom…it’s not another poster, right? What do you think would really help make some meaningful change around the way we think about that and teachers and systems take that on?

Lani Horn (24:59):

So I think that the important thing is helping teachers develop a vocabulary for recognizing students’ mathematical strengths in particular. Recognizing a strength is not, “Wow, you did really neat work!” or “You have really nice handwriting!” Those are not authentically mathematical strengths, right? So I try to think about—ah, for color theorem, “How cool! What a great way to be systematic!” You know, that being systematic, developing a good representation, asking a good question, asking the next “what if,” all of these are profoundly mathematical ways of thinking. And there’s more—I’m just giving you a few examples—that are not always recognized in classrooms that are built around quick and accurate calculation. Right? When that is the most valued form of smartness, kids who can do all these other great things, like, “Wow, that that is such a clear way of explaining the connection between that graph and that equation! I love it. That helps me see what’s happening every time that variable increases.” You know? I love when kids do that! That’s not quick and accurate calculation, right? One of the most heartbreaking things I’ve seen sometimes is teachers doing a really good job of pumping kids up and helping them feel mathematical and seeing their mathematical strengths in the everyday lessons…but then they get a standard assessment and are told they’re a C student. How do you support the messaging you’re doing in your teaching and in your interactions so that it aligns with assessment? And this is where the sorting mechanism of school kind of inhibits some of the ways that we really should be valuing kids in a way that would support their ongoing learning and their own particular flourishing.

Dan Meyer (26:59):

I love how you describe this whole process as a career-long trajectory, how one does not ever finish creating an asset orientation in oneself. I’m wondering if there is some way for teachers who are listening to start to experience, to enter into that kind of feedback loop, that experience, of what an asset orientation offers them and their students. Do you have some way for us to start digging in here? A challenge, if you will?

Lani Horn (27:24):

Yeah, sure. This is a process I learned from teachers I’ve worked with, so I did not make this up. It’s called a roster check. It’s where you take a roster of one of your classes, and you go through student by student and see if you can specifically name a way that that student is mathematically smart. And it’s a private exercise if you want it to be. And just sort of go through. And then for the students who you really struggle to name how they’re smart, step back and see if there’s some kind of a pattern. And when I’ve done this in PD, as an exercise, I’ve had teachers have some real light-bulb moments where they go, “Oh my gosh, I really don’t know the quiet girls in my classroom,” or “I really don’t know the multilingual learners in my classroom.” So they can sort of start to see a bias in who they’re interacting with and who’s been able to engage in ways that uncover what their unconscious bias might be. And sometimes it’s not unconscious bias. Sometimes it’s not necessarily a category like that. It’s just the kids who are more outspoken, the kids who are high achieving. It doesn’t have to necessarily be linked to an obvious social category. However, I do think that then what you can do with that list of kids who you don’t have a name for their strengths, is you can kind of take a couple of them a week and make that your project to really observe them a little more intentionally and a little more closely. Try mixing things up. Have a chat with them. Say, “Hey, so what do you like to do? What are the things that you like to do in the world? What are your hobbies?” So maybe you can start to get some insight that way. You can talk to other teachers. Most kids have something that they’re passionate about, something that animates them and wakes them up in the morning, and knowing that and finding ways to meaningfully tie that to their mathematical learning can be extremely powerful.

Bethany Lockhart Johnson (29:35):

Lani. I love that idea, taking that time to reflect and allow yourself to be vulnerable as you take a look at your biases and how that’s impacting your classroom space. I have learned so much from our conversation. I know we’re just scratching the surface of the work that you do. So if folks want to learn more, want to continue engaging in these ideas, where can they find you, or where can they find more about your work?

Lani Horn (29:58):

I’m pretty active on Twitter. My handle is @ilana_horn. No “e” on that. And I’ve written a couple of books for teachers. One is called Motivated. Another is called Strength in Numbers. People can check those out.

Bethany Lockhart Johnson (30:17):

I love it. For our listeners, we are thrilled to share this conversation with you, and we wanna hear how you take up this challenge: What do you uncover? What do you notice? What are you learning about an asset orientation? And you can share that by finding us on Twitter at @MTLshow, or you can also continue the conversation with us in our Facebook group, Math Teacher Lounge. We’re so excited to keep learning with you. And thanks for listening.

Lani Horn (30:42):

Bye! Thanks for having me.

Dan Meyer (30:44):

Bye, folks. Thank you.

Stay connected!

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What Lani Horn says about math

“An asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching. ”

– Lani Horn

Professor of Mathematics Education, Vanderbilt University Peabody College

Meet the guest

Lani Horn centers her research on ways to make authentic mathematics accessible to students, particularly those who have been historically marginalized by our educational system. Professor Horn focuses primarily on mathematics teaching in two ways. First, Professor Horn looks at classroom practices that engage the most students in high-quality mathematics. Second, Professor Horn views teaching as a contextually-embedded practice –  how school environments, communities, colleagues, and policies shape what is instructionally possible. All of this is unified through a pursuit to understand teacher learning as a situative phenomenon. Follow Professor Horn on Twitter.

A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

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

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

Welcome, K–8 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework 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

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of two Reviewer binders. The K-5 Reviewer binder is contained within the Grade K shipping box and the Grade 6-8 Reviewer binder can be located in the Grade 6 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into 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 Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Maps

The links below provide the Standards Maps for Amplify Desmos Math California for each grade level.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

The links below provide the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at each grade level.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

The links below provide the alignment of Amplify Desmos Math California to the California English Language Development Standards at each grade level.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click the links below to view how the California Environmental Principles and Concepts are represented in each grade level.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center (linked below) for specific lesson designs and alignment with the Big Ideas for each grade level.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for each grade level. 

A chart displaying seven kindergarten math units with themes, number of instructional days, and assessment days, totaling 136 suggested instructional days.
Grade 1 instructional units overview showing 7 units on math topics, total suggested days is 153, with each unit listing instructional and assessment days.
Grade 2 math curriculum map showing 8 units with topics, number of instructional and assessment days, and total days; suggested instructional days: 156.
Seven instructional units are shown, each with a title, icon, number of instructional and assessment days, and total days; a note suggests 150 instructional days in total.
A Grade 4 math curriculum overview showing seven units with titles, number of instructional days, and assessment days; the suggested total instructional days is 152.
A curriculum map displays seven math units with icons, titles, instructional days, and assessment days, totaling 149 suggested instructional days.
A chart showing Grade 6 math units, each with instructional days, assessment days, and optional days. Total suggested instructional days is 142, plus 19 optional days.
Overview of Grade 7 math curriculum units, showing unit titles, number of instructional, assessment, and optional days for each, with a total of 125 instructional days plus 22 optional days.
Eight illustrated cards display Grade 8 math units, each with the unit title, topics covered, number of instructional and assessment days, and a total of 131 suggested instructional days.
Curriculum chart showing eight units split into two volumes, with topics, instructional days, assessment days, and optional days listed for each unit over an accelerated 6th-grade year.
A chart displays the breakdown of Accelerated 7 math units, indicating topics, number of instructional days, assessment days, and optional days for each of the nine units across two volumes.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

  • Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  
  • Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 
  • Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

  • Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.
  • Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.
  • Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.
  • Centers (K–5): Centers are hands-on activities for students in grades K–5 to play collaboratively to strengthen their understanding of key skills and concepts. In grades K–1, students have Daily Center Time built into every lesson. 
  • Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Kindergarten–Grade 1

A lesson plan timeline showing phases: Warm-Up (5–10 min, whole class), Lesson Activities (25–30 min), Synthesis (10 min), Centers (15 min), and Practice (time varies).

Grades 2–5

A horizontal flowchart shows a classroom lesson sequence: Warm-Up (5–10 min), Lesson Activities (35 min), Synthesis (10 min), and Practice (time varies); groupings vary.

Grades 6–8

A horizontal timeline shows four lesson segments: Warm-Up (5 min), Lesson Activities (30 min), Synthesis (10 min), and Practice (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

  • Pre-Unit Check: Each unit in grades 2–8 begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.
  • End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.
  • Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Grades Kindergarten through Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.
  • Sub-Unit Checklists: These checklists enable teachers to observe key skills and concepts that cannot be assessed on a pencil-and-paper assessment in Kindergarten–Grade 1. The checklists outline the supports students need to achieve mathematical growth and success.
  • Performance Tasks: At the end of each unit in grades 3–8, there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

  • Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 
  • Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Lesson facilitation supports

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Visual-spatial processing
  • Conceptual processing
  • Executive functioning
  • Memory and attention
  • Fine motor skills

Accessibility tools

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Unit Stories

Every unit in grades K–5 contains a Unit Story. These Unit Stories are brief fiction stories read aloud by the teacher at the beginning of each unit that connect to the math of the unit and introduce characters that students will get to know as they engage in the unit. Teachers read the story aloud from their Teacher Edition while projecting illustrations for students from the story, found in the Teacher Presentation Screens for the story. Across the unit, the Unit Story context and characters are used at appropriate points to inspire and engage students in the math as well as in reflections about their math identity and community.

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Supporting multilingual & English language learners

Multilingual/English learners (ML/ELs) bring unique strengths to classrooms, enriching the learning experiences for all.

At Amplify, we empower educators with tools that honor the strengths and capabilities of ML/ELs. Our curriculum and assessments meet students where they are and help them develop their skills, propelling them on their learning journeys.

Amplify supports ML/ELs across all subjects, from English language arts to math and science. For students who speak Spanish, we also provide a comprehensive biliteracy suite.

Four vibrant illustrations feature a goat, greeting phrases in Spanish and English, a map with an animal icon, and a fox with rabbits in a forest—perfect for engaging multilanguage & English language learners.
Illustration of a robot character, nine book covers above, and a tablet displaying an e-book page. A pink character stands on a stool holding a book, promoting a reading program for English language learners. Stars decorate the background.

Amplify CKLA core literacy curriculum for grades K–5

Amplify Core Knowledge Language Arts (CKLA) is a K–5 core curriculum built on the science of how students learn to read and write. Amplify CKLA supports ML/ELs in a variety of ways.

Image of a lesson page titled "Introducing the Read-Aloud," focused on speaking and listening skills. The highlighted section emphasizes "Speaking and Listening," seamlessly integrating into the literacy curriculum to support multilanguage & English language learners.

Scaffolding at five levels of proficiency

In addition to core instruction, Amplify CKLA provides lesson supports for Entering/Emerging, Transitioning/ Expanding, and Bridging levels.

An open workbook on writing skills, featuring instructions on creating paragraphs and checking understanding for literacy curriculum, with icons and a

Lesson differentiation

Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These resources are suitable for all learners, including ML/ELs.

A computer screen displays a multilanguage phonics learning app, ideal for English language learners, featuring an astronaut illustration and a play button for the sound "/a/".

Phonological awareness and phonics supports

The digital Sound Library easily facilitates sound development through videos showing mouth movements and songs that help students practice articulating new sounds with catchy lyrics.

A group of young children, including multilanguage and English language learners, sit cross-legged on a classroom floor, some with hands raised, appearing engaged and attentive.

Frequent oral language development opportunities

Amplify CKLA boosts language development with complex read-alouds, interactive discussion, writing activities, and explicit teaching of academic and domain vocabulary.

Amplify CKLA pairs with Amplify Caminos, its companion K–5 Spanish literacy program that supports biliteracy instruction.

Language Studio, an English Language Development companion program for Amplify CKLA

Language Studio, Amplify CKLA’s dedicated K–5 English language development companion program, offers daily 30-minute lessons to help ML/ELs practice reading, writing, speaking, and listening skills. Aligned to the World-Class Instructional Design and Assessment (WIDA) framework, Language Studio previews and reinforces language and content from core instruction, so that ML/ELs of all proficiency levels are able to access grade-level content as they develop academic English.

Four illustrated educational book covers are shown, each with different cultural and historical themes, titled "Language Studio Volumes 1-4" from Amplify Core Knowledge Language Arts—perfect for multilanguage and English language learners.
A young girl sits at a desk reading a book, while two other children are in the background—one using a laptop. The scene supports multilanguage and English language learners as they engage with different resources.

Interactive language development

Language Studio provides opportunities for classroom discussions, oral presentations, and writing tasks, promoting comprehension and learning by connecting with students’ cultural and linguistic backgrounds.

A worksheet labeled "Features of Academic Language," ideal for multilanguage and English language learners, with highlighted text: "Draw and Write," "Offer and Support Opinion," and "Tier 3 Domain-specific words.

Explicit vocabulary instruction

Interactive vocabulary and academic language support is provided before each lesson to deepen students’ understanding of text.

Two schoolgirls in green uniforms, English language learners, look at a notebook together in a multilanguage classroom—one holding a pencil box and pointing at the book.

Multimodal comprehension support

Students can preview content, interact with physical materials, compare text types, receive explicit grammar instruction, and have access to extensive vocabulary exercises.

A language proficiency assessment chart for multilanguage and English language learners, listing evaluation criteria and descriptors across five proficiency levels from entering to bridging.

Skill proficiency monitoring

Language Studio facilitates evaluation with an understanding of what students should produce at each level.

A person holds a tablet displaying educational progress, featuring profile images of two students labeled

mCLASS DIBELS 8th Edition literacy assessment for grades K–8

mCLASS® is an all-in-one system for Science of Reading-based universal screening, dyslexia screening, and progress monitoring for grades K–8. Powered by DIBELS 8th Edition, mCLASS provides valuable data on your ML/ELs’ literacy in English, helping you build a robust system of tiered supports. With a single tool, you can access the data and instructional support you need for each student’s literacy development, from phonics to comprehension, catering to all readers, from beginner to advanced.

A laptop screen displays a table showing the beginning-of-year assessment scores for four Grade 1 multilanguage and English language learners across three goal areas: Composite, LNF, and PSF.

Screening and reporting

mCLASS’s one-minute measures and dyslexia screening identify risk as early as possible, providing you with the right data to make informed decisions.

A laptop screen displays an educational platform with a lesson plan on decoding complex word patterns for Grade 3 English language learners under the "Instruction" tab, supporting multilanguage development.

Language considerations

mCLASS provides specific language guidance, offers ML/EL instructional strategies, and considers each student’s unique language background, never penalizing for language variety, accent, or articulation, and extending this understanding into small-group practices.

A computer screen displays a dashboard with student assessment data, including charts and tables comparing performance across different benchmarks for multilanguage and English language learners.

Performance and reporting transparency

Understand student performance through direct observation and detailed reports which offer growth insights, including district-wide student achievement data that can be filtered by EL status, Home Language, or English Proficiency status.

mCLASS pairs with mCLASS Lectura, an authentic Spanish literacy assessment for K–8 that measures key foundational skills and supports Spanish-speaking bilingual students.

mCLASS Intervention for grades K–6

mCLASS Intervention is our K–6 reading intervention program, designed to support you in providing effective Tier 2 and 3 instruction and getting readers on track. mCLASS Intervention does the heavy lifting of data analysis and lesson planning for you. This lets you focus on what you do best: teaching the skills each student needs to become a confident reader.

Infographic showing a 10-day cycle: measure skills, group multilanguage and English language learners, generate lessons, teach students, and provide practice, all arranged in a circular flow.
A worksheet page titled "Introduce a" with instructional text, a letter grid activity, support tips, and a section labeled “Challenge,” overlaid by the text “Multimodal learner resources” for multilanguage and English language learners.

Effective lessons with built-in support

Lessons are equipped with best practices and guidance targeting language and literacy development for ML/ELs. The program also includes materials and resources that make content accessible to Spanish-speaking students.

A lesson plan shows students, skills, and Day 1 activities for a 10-day Blending and Regular Words set—ideal for multilanguage and English language learners—involving sounding out, blends, and a word race game.

Structured small groups

Once groups are formed, mCLASS Intervention determines the ideal focus for each group and automatically prepares two weeks of targeted lessons.

A line graph showing Emma Ashley's letter sounds scores: 20 in August, 74 in December (benchmark), and projected to reach 90 in May—demonstrating strong progress for multilanguage and English language learners.

Keeps you updated on student progress

Track student growth with reliable progress-monitoring tools and reporting that provides a clear view of each student’s progress.

A young girl with headphones uses a laptop, sitting in front of a colorful, illustrated background with trees, clouds, a bird, and Science of Reading and ESSA Evidence badges—perfect for multilanguage and English language learners.

Boost Reading personalized reading program for grades K–5

A key component of Amplify’s early literacy suite, Boost Reading is a personalized learning program for K–5 that offers comprehensive targeted practice, built-in benchmark assessments, and powerful reporting. Boost Reading provides practice in the full progression of key phonics and comprehension skills critical to literacy development.

Boost Reading works. Results of a year-long study show that students in grades K–5—including ML/ELs—who used Boost Reading for 30 minutes a week significantly outperformed their peers.

A computer screen displays a sentence highlighting the words "Mateo" and "he," with arrows connecting them—helpful for multilanguage and English language learners. A "Done" button and an illustrated face are also visible.

Systematic instruction in foundational skills and comprehension

Reinforce core instruction with explicit practice in phonics and phonological awareness. Boost Reading is the only program that focuses on comprehension processes—what readers do while reading that allows them to make sense of text—which is especially beneficial for ML/EL students.

A laptop screen displays a cartoon mouth, a person’s face above it, and four toast-shaped buttons below—ideal for multilanguage practice and engaging English language learners.

Mouth formation modeling for articulation support

Boost Reading includes specific scaffolds and supports—such as a modeling of mouth formations for articulation—that are proven to be beneficial for ML/ELs.

A colorful educational game screen supports English language learners and multilanguage skills, showing a creature on a log labeled "stamp" with four word choices: sand, stand, stamp, and champ. A waterfall and plants are in the background.

Vocabulary practice

Targeted morphology practice for independent vocabulary building and explicit instruction with Tier 2 vocabulary words are proven to be supportive for ML/ELs.

Boost Reading pairs with Boost Lectura, a Spanish literacy program for K–2 that provides students with personalized practice to develop Spanish literacy skills.

Want to learn more about Amplify’s elementary biliteracy suite?

Fill out this form, and we’ll be in touch with you shortly.

Amplify ELA core literacy curriculum for grades 6–8

With Amplify ELA, students learn to tackle any complex text and make observations, grapple with interesting ideas, and find relevance for themselves. Amplify ELA is a grade 6–8 English language arts program designed to bridge language gaps and enhance learning for ML/ELs. With integrated supports in every lesson, Amplify ELA empowers educators to deliver grade-level content while maintaining rigorous standards, thus reducing barriers to language acquisition and boosting student success.

A tablet showcases an educational lesson interface about butterflies, alongside a book titled "Amplify ELA: Summer of the Mariposas," surrounded by illustrated butterflies, enriching the literacy curriculum and engaging multilanguage & English language learners.
A tablet screen displays a digital reading and writing assignment with text excerpts on the left and character trait questions on the right, designed to support multilanguage and English language learners.

Built-in scaffolds

Background documents (in English and Spanish) establish context and support comprehension before students begin to read. Features such as audio assessments, read-aloud, and Reveal words ensure that all students have the opportunity to engage with and understand grade-level materials.

A worksheet with a writing prompt about "Summer of the Mariposas," designed to support multilanguage and English language learners as they describe a character and explain her traits using evidence from the story.

Differentiated writing prompts

Simplified language, sentence starters, word banks, and visual cues offer the necessary levels of support to help students meet their writing goals.

A book titled "Mysteries & Investigation Multi-Language Glossary" with glossary cards for English-French and English-Vietnamese translations of the phrase "a wealth of," ideal for multilanguage study and English language learners.

Multi-language glossaries

Available in 11 languages—English, Arabic, Chinese, French, Haitian Creole, Portuguese, Russian, Spanish, Tagalog, Urdu, and Vietnamese—these glossaries support vocabulary development and comprehension.

Amplify Desmos Math core curriculum for grades K–12

Amplify Desmos Math is a curiosity-driven K–12 program that builds students’ lifelong math proficiency. Every lesson in Amplify Desmos Math includes opportunities for all students to develop mathematical language as they experience the content, while providing intentional support for ML/ELs. We purposefully progress language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise.

A text box suggests encouraging multilanguage and English language learners to paraphrase peers’ ideas, building connections and using unit vocabulary, with an emphasis on speaking and listening skills.

Multilingual/English learner support

Supports for ML/ELs are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). ML/EL supports may also be attached to Math Language Routines.

A text box explaining MLR7: Compare and Connect, with prompts for students—including multilanguage and English language learners—to analyze, compare, and connect different problem-solving strategies.

Math Language Routines (MLRs)

Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote metacognition. Tips for facilitating MLRs are included when they would be helpful within lessons.

A white box lists today’s goals for a lesson on parallelograms, including area calculation and encouraging multilanguage & English language learners to use mathematical language in writing, speaking, and listening.

Language goals and vocabulary

Language goals attend to the mathematics students are learning, and are written through the lens of one (or more) of four language modalities: reading, writing, speaking, and listening. Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.

Amplify Science core curriculum for grades
K–8

Amplify Science is a curiosity-driven science curriculum that empowers students to Do, Talk, Read, Write, and Visualize like scientists. Through phenomena-based, literacy-rich, and interactive learning experiences, it develops students into critical thinkers who will gain the skills they need to solve real problems in their communities and the world. For students who need additional support, Amplify Science provides specialized instructional approaches, activities, and resources that take into account English learners’ level of language proficiency.

A teacher and three children, all English language learners, interact enthusiastically around a table with a colorful project in a classroom setting. The lively discussion enhances their literacy curriculum experience, fostering both creativity and understanding.
A document page titled "Patterns of Earth and Sky" is shown, with a highlighted overlay listing printable resources for multilanguage and English language learners, such as objectives, compilations, and glossaries.

Instructional design built on five key principles

Amplify Science leverages background knowledge, capitalizes on student knowledge of language, provides explicit instruction about the language of science, gives students opportunities with scaffolded practice, and enables students to access science content and express science knowledge through a multimodal approach.

A blue square with two arrows forming a loop, next to the words: Do, Talk, Read, Write, Visualize—ideal for multilanguage and English language learners.

Do, Talk, Read, Write, Visualize instructional model

Our multimodal instructional approach caters to diverse learning needs and promotes active engagement for all learners.

A webpage section titled "Differentiation" discusses teaching strategies for diverse learners, including multilanguage and English language learners, with a sidebar listing various digital resources and lesson materials.

Honoring multilingualism

Amplify Science honors multilingualism as students are invited to share in their native language at strategic points in instruction. Teacher-led instruction on cognates and a multilingual glossary in 10 languages offer additional support.

Cover of a Spanish-language science booklet titled "Patrones de la Tierra y del cielo," ideal for multilanguage and English language learners, featuring a space illustration and an orange "Cuaderno de investigación" button at the bottom.

Spanish instructional materials

Carefully translated materials use academic Spanish, with attention to consistency and grade-level appropriate language, to support language development.

A biliteracy suite grounded in the Science of Reading

Discover a suite of Spanish literacy curriculum and assessment programs designed to build confident readers with Amplify CaminosmCLASS Lectura, and Boost Lectura. Amplify’s biliteracy suite includes assessment, core instruction, and personalized learning built on the Science of Reading.

Explore more programs in Amplify’s literacy and biliteracy suites.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

Inspiring the next generation of Indiana scientists, engineers, and curious citizens

Amplify Science is a proven effective core curriculum designed for three-dimensional, phenomena-based learning that provides an immersive experience for science students. Amplify Science was developed in partnership with the science education experts at UC Berkeley’s Lawrence Hall of Science.

image of Amplify Science and science classroom materials for science teachers

What is Amplify Science?

Amplify Science is a curiosity-driven science curriculum that empowers students to Do, Talk, Read, Write, and Visualize like scientists. Through phenomena-based, literacy-rich, and interactive learning experiences, students develop as critical thinkers who will gain the skills they need to solve real problems in their communities and the world.

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

Grounded in research

Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science in partnership with the digital learning team at Amplify, our program features:

  • A phenomena-based approach where students construct a deep understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, lively discussions, literacy-rich activities, and digital tools.
  • Carefully crafted units, chapters, lessons, and activities designed to deliver truly authentic three-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.

See more of our research.

Aerial view of the lawrence hall of science at the university of california, berkeley, showcasing the building and surrounding trees with a foggy city backdrop.
Two boys sit at a desk using a laptop in a classroom. Insets show a close-up of sewing, and a child in rain boots splashing in water.

Instructional model

The Amplify Science program is rooted in the research-based proven effective pedagogy of Do, Talk, Read, Write, Visualize.

Here’s how each element works:

Do

Learners engage with scientific phenomena by conducting student-centered investigations.

Talk

Students engage in collaborative and inquisitive discussions and scientific argumentation.

Read

Reading scientific texts is an act of inquiry: Students ask questions, gather evidence, and make connections through literacy.

Write

Students write to share what they have learned and apply new evidence to strengthen written arguments and explanations.

Visualize

Students gather evidence through simulations, physical models, and modeling tools, allowing them to see and investigate complex, microscopic, or otherwise unobservable phenomena.

What’s included

Flexible resources that work seamlessly together

Four children gather around a desk, engaged in a hands-on activity. Two illustrations frame the main image: a storm cloud on the left and a sea turtle on the right.

Grades K–5 materials

A stack of educational science books, ideal for the curious mind of a science student, with titles like "What My Sister Taught Me About Magnets" and "Made of Matter." Perfectly aligned with any science curriculum to inspire young learners in the classroom.

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
Three science notebooks ideal for the science student, titled "Balancing Forces," "History of Earth and Sky," and "Properties of Matter." Each features colorful illustrated covers that enhance three-dimensional learning in the classroom.

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
A digital illustration displays a laptop with screens showcasing environmental graphics, including plants and diagrams, perfect for a science student exploring rich science resources.

Simulations and practice tools (grades 2+)

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


A laptop displaying a web page titled "Spinning Earth" sits next to a book on investigation, ideal for the science student delving into valuable science resources.

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
A pegboard with pegs, a small solar panel with clips, and three containers with different powdered substances are perfect science resources for enhancing your science curriculum.

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.)

Grades 6–8 materials

A laptop displays a diagram about jellyfish population explosion; next to it is a magazine page featuring a scientist who preserves artwork.

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.

Four Amplify Science investigation notebooks are displayed, perfectly enhancing any science classroom with their covers showcasing diverse scientific topics.

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
Images of data visualization tools displayed on a laptop, showcasing graphs, maps, and analytical data—essential resources for any science student looking to enhance their understanding through interactive learning.

Digital student experience

Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

  • conduct hands-on investigations
  • engage in active reading and writing activities
  • participate in discussions
  • record observations
  • craft end-of-unit scientific arguments


A laptop displaying the Geology on Mars webpage sits beside a book titled "Geology on Mars," both featuring the same cover image of Mars and a spacecraft, perfect for enhancing three-dimensional learning in any science classroom.

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
A pegboard with pegs, a small solar panel with clips, and three containers with different powdered substances are perfect science resources for enhancing your science curriculum.

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.)
Collage of four images: a hairdryer testing a paper structure in a science classroom, a cartoon monkey on a vine, two kids interacting with a wall activity emblematic of three-dimensional learning, and a hand displaying dinosaur-topped pencils with math cards.

Unit Sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.

In fact, our multimodal instruction offers more opportunities for students to construct meaning—and practice and apply concepts—than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

A chart lists science topics by grade, from Kindergarten to Grade 5, covering subjects like plants, animals, forces, materials, weather, and Earth systems.
A list of science curriculum topics for Grades 6, 7, and 8, organized under each grade with bullet points for subjects like microbiome, geology, energy, and natural selection.

Contact us

Support is always available. Our team is committed to helping you every step of the way. Contact your dedicated Indiana representative here for program access, samples, and additional information.

A woman with long brown hair and a white top smiles at the camera in front of an orange background, showcasing her passion for the Science of Reading and dedication to Indiana middle school education.

Elizabeth Sillies Callahan

Southern IN
(513) 407-5801

A woman with long brown hair and blue eyes smiles gently at the camera. The background is a light purple circle, reflecting her passion for the Science of Reading and dedication to Indiana middle school education.

Jody Kammer

Central IN
(310) 402-7837

Woman with long brown hair, large black glasses, and a nose ring, wearing a striped shirt and dark blazer, posing in front of a neutral background—professional style suited for the Indiana Department of Education.

Amanda Knipper

Northern IN
(260) 894-5123

A woman with wavy red hair and blue eyes, dressed in a purple turtleneck, smiles at the camera against a dark background—reflecting the approachable spirit of Indiana middle school teachers.

Paige Lawrence

District enrollment below 1200
(980) 421-2608

Welcome to Amplify Science!

Amplify Science is a highly engaging, phenomena-based program for grades K–8 that integrates the latest practices in science teaching and learning, as well as interactive digital tools and hands-on activities, to teach students how to think, read, write, and argue like real scientists and engineers.

A badge for EdReports Review Year 2023, two students at a computer, two students discussing with a tablet, and an educational diagram of a spider on a screen.

About the program

Four students work together at a classroom table, examining an object and looking at papers, with a colorful board game and school supplies visible.

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

The program 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.

Two students conduct a water experiment in a classroom. One holds a cup while the other observes. Books and papers are on the table.
Two students sit at a classroom table, working together on an open workbook with charts and graphs, while other students are seen in the background.

In every unit, students take on the role of scientists or engineers—marine biologists, geologists, water resource engineers, and more—to solve a real-world problem. These engaging roles and problems provide relevant contexts through which students investigate phenomena.

A powerful partnership

The logo for The Lawrence Hall of Science, University of California, Berkeley, features blue text on a light background and is recognized by educators using Amplify Science for middle school science programs.

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify. As the Hall’s first curriculum designed to address the new science standards, Amplify Science reflects state-of-the-art practices in science teaching and learning.

Amplify Science is rooted in the Lawrence Hall of Science’s Do, Talk, Read, Write, Visualize model of learning. This research-based approach presents students with multiple modalities through which to explore the curriculum.

K–5 sample

Illustration of a sleek futuristic train on an elevated track with a blue sky and green hills in the background.

In Balancing Forces, students are challenged to figure out how a floating train works in order to explain it to the citizens of the fictional city Faraday.

  • Learn more about phenomena and the student roles of scientists and engineers across all units in grades K–5.
  • Learn more about the Student Books written exclusively for Amplify Science for grades K–5.
  • Learn more about the program structure of Amplify Science for grades K–5.

Hear from teachers about why they love Amplify Science:

6–8 sample

Abstract artwork featuring colorful shapes on a blue and yellow background with hexagons and triangular patterns.

Metabolism (Grade 6/Life Science)

Inhabiting the role of medical students in a hospital, students are able to draw the connections between the large-scale, macro-level experiences of the body and the micro-level processes that make the body function as they first diagnose a patient and then analyze the metabolism of world-class athletes.

  • Learn more about phenomena and the student roles of scientists and engineers across all units in grades 6–8.
  • Learn more about the digital simulations in grades 4–8 of Amplify Science.
  • Learn more about the program structure of Amplify Science for grades 6–8.

Hear from teachers about why they love Amplify Science:

Learn more

Ready to learn more?

Fill out the form to talk with a program expert, request a physical sample, or simply receive additional educational emails about Amplify Science.

What instructional coherence really looks like

What instructional coherence really looks like

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A digital reading intervention that delivers growth across every tier of instruction

Boost Reading is a student-led K–5 digital intervention, built on the Science of Reading, that delivers systematic instruction. Students receive targeted, adaptive practice that meets them where they are, while teachers get simple and meaningful insights into student progress without extra work. Fully aligned to Amplify CKLA and mCLASS®, Boost Reading brings powerful support to every tier of instruction. Para la versión en español, haga clic aquí.

A young girl wearing headphones smiles while using a laptop, with colorful graphics and badges indicating "Moderate ESSA Evidence" and "Built on the Science of Reading," highlighting a K–5 personalized reading curriculum.

Proven impact for students who need it most

Boost Reading meets ESSA’s Moderate (Tier 2) Evidence criteria and consistently moves students who score below and well-below benchmark toward benchmark with just 30 minutes of use per week. Boost Reading provides extra support to students (including multilingual/English learners and students with dyslexia) struggling with reading, with practice that builds a strong foundation for future reading success from the ground up. Learn more about the program’s impact on the Boost Reading research page.

Nearly 65% of kindergarten students who started the year at risk and used Boost Reading reached benchmark by the end of the year, compared to 48% of the comparison group.

Learn more

English language learners who started the year below benchmark were 43% more likely to finish the year on track compared to those who did not use Boost Reading.
“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

Critical to MTSS with differentiated support for every learner

Boost Reading adapts automatically, so students practice the right skills at the right moment. Tier 2 students get meaningful independent intervention support, while Tier 3 students receive additional skill reinforcement between their staff-led sessions with mCLASS Intervention. Boost Reading follows the same foundational skills sequence as Amplify CKLA, which means that students practice skills unique to them, making Boost Reading an effective part of a Multi-Tiered System of Support (MTSS).

Split image: On the left, a girl uses a laptop with the label “Tier 2 Student-led intervention” featuring a K–5 personalized reading curriculum. On the right, a teacher assists two boys with laptops, labeled “Tier 3 staff-led intervention.”.

Data you can actually use in your classroom

Boost Reading shows you exactly what you need to know about student progress, through simple growth reporting on the Teacher Dashboard. See who’s improving, who needs support, and which skills to target next without having to spend time digging through complicated data.

Aligned to Amplify CKLA and mCLASS DIBELS 8th Edition

Boost Reading follows Amplify CKLA’s scope and sequence, making it easy to integrate into your daily routines by reinforcing the same skills you’re already teaching. It uses mCLASS DIBELS® 8th Edition data to provide targeted support and placement, giving teachers a clear view of how students progress across all instructional tiers.

Three text boxes display the names of K–5 literacy resources: "Boost Reading," "Amplify CKLA," and "mCLASS," with the words "Boost," "Amplify," and "mCLASS" in orange font.
Oso de dibujos animados jugando al fútbol, pateando una pelota con la etiqueta "ma", con burbujas de discurso que dicen "¡hola!" en español e inglés, al lado de una portería con un letrero "Currículo de lectura personalizado para jardín de infantes a 5.º grado".

Closing the gap for
K–2 multilingual/English learners

Boost Reading’s Spanish literacy partner, Boost Lectura, strengthens early literacy for Spanish-speaking multilingual/English learners. When used together, the two programs give teachers side-by-side insight into skill progression in Spanish and English, helping accelerate learning across both languages.

Boost Reading efficacy study

Closing the literacy gap for K–5 students

Download now

What’s included

A dashboard section titled "Trouble Spots" lists students under "Early Decoding" by skill, showing names and resource links for decoding and spelling word skills from a K–5 personalized reading curriculum.

Pinpoint the skills that need your attention

The Trouble Spots section makes it easy to see which students are struggling and what skills they need to work on. Printable, ready-to-teach lessons allow you to pull together small groups in minutes.

Watch your students grow

Never miss a moment of your students’ literacy development, with monthly growth reporting! You’ll be able to track how students are developing skills month over month, and see their reading trajectory unfold.

Line graph titled "Monthly Growth" shows three risk categories—At Risk, Some Risk, Minimal Risk—from September to January. Visualize student progress using this K–5 personalized reading curriculum as your supplemental reading curriculum.
A chart compares Student 1, who demonstrates mastery in decoding blends, with Student 2, who needs targeted practice and reinforcement to decode words with blends using a K–5 personalized reading curriculum.

A program that grows with your students

Boost Reading continuously tailors instruction based on individual student performance. That means scaffolding foundational skills while building proficiency, one engaging activity at a time. There’s no stalled practice, and you’ll see steady progress across key reading skills.

Benchmark and growth assessments

Boost Reading combines built-in benchmark assessments with monthly skill scans to give teachers a holistic view of progress from the beginning of the year to the end of the year. The monthly skill scans act as check-ins between benchmark windows, so you’ll always know where students stand with a complete picture of their learning.

A chart titled "Benchmark Performance" shows equal 25% scores for four categories at the beginning and middle of the year when using a K–5 personalized reading curriculum; no data is available for end of year.
A flow chart shows language comprehension and word recognition strands merging into skilled reading, highlighting progression from basic to advanced skills—a clear visual for any K–5 literacy resource.

Science of Reading scope and sequence

Boost Reading introduces skills in the order research shows students learn best. Phonological awareness builds into phonics, vocabulary, and comprehension for a solid foundation and confident readers.

Administrator and caregiver reports

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

Pie chart titled "Grades 2–5 Growth" shows 45% below, 31% typical, and 24% above. Legend explains growth percentiles for a K–5 personalized reading curriculum: above, typical, below.
Insignia de premio con el texto "Premios de excelencia en tecnología y aprendizaje 2023, regreso a clases, ganador del plan de estudios de lectura personalizado K-5".

Award-winning technology that drives student growth

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Explore more programs based on the Science of Reading.

All of the programs in our literacy suite are designed to support and complement each other. Learn more about our related programs: