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Grade 6

Module 1: Ratios and Unit Rates

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

Module 2: Arithmetic Operations Including Division of Fractions

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

Module 3: Rational Numbers

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

Module 4: Expressions and Equations

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

Module 5: Area, Surface Area, and Volume Problems

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

Module 6: Statistics

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

Grade 7

Module 1: Ratios and Proportional Relationships

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

Module 2: Rational Numbers

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

Module 3: Expressions and Equations

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

Module 4: Percent and Proportional Relationships

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

Module 5: Statistics and Probability

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

Module 6: Geometry

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

Grade 8

Module 1: Integer Exponents and Scientific Notation

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

Module 2: The Concept of Congruence

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

Module 3: Similarity

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

Module 4: Linear Equations

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

Module 5: Examples of Functions from Geometry

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

Module 6: Linear Functions

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

Module 7: Introduction to Irrational Numbers Using Geometry

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

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!
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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.

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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.

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Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

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

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

Lesson 3: Sort by Same ColorMatching Groups

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

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

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

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

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

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

Module 3: Comparison

Topic C: Compare Sets Within 10

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

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

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

Topic B: Record Composition and Decomposition

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

Module 5: Addition and Subtraction

Topic A: Represent Addition

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

Topic B: Represent Subtraction

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

Topic C: Make Sense of Problems

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

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

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

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

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

Topic B: Relate and Distinguish Addition and Subtraction

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

Topic C: Find an Unknown Part in Change Unknown Problems

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

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

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

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

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

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

Topic A: Grouping Units in Tens and Ones

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

Topic D: Addition and Subtraction of Tens

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

Level 2

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

Topic A: Representing Data to Solve Problems

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

Topic C: Estimate, Measure, and Compare Lengths

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

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

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

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

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

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

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

Topic B: Use Customary Units to Measure and Estimate Length

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

Topic C: Use Measurement and Data to Solve Problems

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

Level 3

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

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

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

Topic D: Two Interpretations of Division

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

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

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

Topic C: Simplifying Strategies to Find Sums and Differences

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

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

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

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

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

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

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

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

Topic B: Concepts of Area Measurement

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

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

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

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

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

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

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

Module 4: Foundations for Fraction Operations

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

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

Topic D: Add and Subtract Fractions

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

Topic F: Repeated Addition of Fractions as Multiplication

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

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

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

Topic B: Tenths and Hundredths

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

Topic C: Comparison of Decimal Numbers

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

Level 5

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

Topic B: Multiplication of Whole Numbers

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

Topic C: Division of Whole Numbers

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

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

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

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

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

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

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

Topic D: Volume and the Operations of Multiplication and Addition

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

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

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

Topic D: Rates

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

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

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

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

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

Topic F: Decimal Division

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

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

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

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

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

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

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

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

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

Topic B: Problem Solving with Area

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

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

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

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

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

Topic C: Scale Drawing and Proportional Relationships

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

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

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

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

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

Module 4: Geometry

Topic A: Constructing Geometric Figures

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

Topic C: Circumference and Areas of Circles

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

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

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

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

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

Topic E: Problems Involving Percent

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

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

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

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

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

Topic B: Properties and Definitions of Exponents

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

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

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

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

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

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

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

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

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

Topic E: Different Forms of a Linear Equation

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

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

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

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

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

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

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

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

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

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

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

Module 2: Equations and Inequalities in Two Variables

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

Module 3: Functions and Their Representations

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

Module 4: Quadratic Functions

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

Module 5: Linear and Exponential Functions

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

Module 6: Modeling with Functions

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

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.

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.

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 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.

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 6

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

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

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

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Unit 4: Ratio Reasoning: Unit Rates and Percent

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

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It [Free lesson]
Lesson 4: Sub-Zero
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 25: Understand Absolute ValueUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 6: Tunnel Travels [Free lesson]
Lesson 7: Comparing Weights
Lesson 8: Shira’s Solutions
Lesson 27: Understand the Four-Quadrant Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Practice Day 2 (Print available)
Lesson 28: Solve Problems in the Coordinate PlaneUnit 7
Lesson 12: Graph Telephone
Practice Day 2 (Print available)

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

Grade 7

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

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

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

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

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

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Unit 6: Geometry: Solids, Triangles, and Angles

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

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

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

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

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

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

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

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

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

Unit 4: Functions: Linear and Nonlinear Relationships

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

Unit 5: Integer Exponents: Properties and Scientific Notation

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Filling Cubes
Lesson 24: Express Rational Numbers as Fractions and DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck [Free lesson]
Lesson 26: Understand the Pythagorean Theorem and its ConverseUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 9: Make It Right
Lesson 11: Pond Hopper
Practice Day 2 (Print available)
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresLesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 15: Spheres

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 5: Fit Fight [Free lesson]
Lesson 30: Write and Analyze an Equation for Fitting a Linear Model to DataUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot CityLesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 31: Understand Two-Way TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 10: Finding Associations [Free lesson]
Lesson 32: Construct and Interpret Two-Way TablesUnit 6
Lesson 11: Federal Budgets
Practice Day 3

Grade 6

Unit 1: Numbers

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

Unit 2: Number Operations

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

Unit 3: Proportionality, Ratios, and Rates

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

Unit 4: Equivalent Expressions

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

Unit 5: Equations and Inequalities

Unit 6: Relationships in Geometry

Unit 7: Measurement and Data

Grade 7

Unit 1: The Number System

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

Unit 2: Ratios and Proportional Relationships

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

Unit 3: Expressions, Equations, and Inequalities

Unit 4: Geometry

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

Unit 5: Statistics

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

Unit 6: Probability

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

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

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

Unit 2: Proportional and Nonproportional Relationships and Functions

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

Unit 3: Solving Equations and Systems of Equations

Module 7:  Solving Linear Equations
Lesson 7.1: Equations with the Variable on Both SidesUnit 4
Lesson 2: Keep It Balanced
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 8: When Are They the Same?
Lesson 7.2: Equations with Rational NumbersUnit 4
Lesson 6: Strategic Solving (Print available)
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 7.4: Equations with Many Solutions or No SolutionUnit 4
Lesson 7:  All, Some, or None?
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 8.2: Solving Systems by SubstitutionUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 8.3: Solving Systems by Elimination
Lesson 8.4: Solving Systems by Elimination with Multiplication
Lesson 8.5: Solving Special SystemsUnit 4
Lesson 13: All, Some, or None? Part 2

Unit 4: Transformational Geometry

Unit 5: Measurement Geometry

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

Unit 6: Statistics

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

Grade 6

Module 1: Ratios and Rates

Module 2: Fractions, Decimals, and Percents

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

Module 3: Compute with Multi-Digit Numbers and Fractions

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

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

Module 5: Numerical and Algebraic Expressions

Module 6: Relationships in Geometry

Module 7: Relationships Between Two Variables

Module 8: Area

Module 9: Volume and Surface Area

Module 10: Statistical Measures and Displays

Grade 7

Module 1: Proportional Relationships

Module 2: Solve Percent Problems

Module 3: Operations with Integers

Module 4: Operations with Rational Numbers

Module 5: Simplify Algebraic Expressions

Module 6: Write and Solve Equations

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

Module 7: Write and Solve Inequalities

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

Module 8: Geometric Figures

Module 9: Measure Figures

Module 10: Probability

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

Module 11: Sampling and Statistics

Grade 8

Module 1: Exponents and Scientific Notation

Module 2: Real Numbers

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

Module 3: Solve Equations with Variables on Each Side

Module 4: Linear Relationships and Slope

Module 5: Functions

Module 6: Systems of Linear Equations

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

Module 7: Triangles and the Pythagorean Theorem

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

Module 8: Transformations

Module 9: Congruence and Similarity

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

Module 10: Volume

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

Module 11: Scatter Plots and Two-Way Tables

S2-05: Moving students forward with project-based learning

A promotional image for the podcast "Science Connections" featuring guest Janis Lodge and the topic "Moving students forward with project-based learning." Season 2, Episode 5.

In this episode, Eric Cross sits with K–5 educator Janis Lodge to chat about building on her own science curriculum to create meaningful project-based learning experiences. Janis shares her work teaching Gifted and Talented Education (GATE), and how to use those practices to help accelerate the learning of all students. Eric and Janis also talk about making time for science within K–5 classrooms. Explore more from Science Connections by visiting our main page.

DOWNLOAD TRANSCRIPT

Janis Lodge (00:00):
To me, the reward of having those kids feel like they accomplished something and the way that they can take ownership of it and go in so many different directions, I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it.

Eric Cross (00:18):
Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Janis Lodge. Janis is a third-grade teacher in Orange County, California, with a specialization in gifted and talented education. Recently, Janis was awarded the Orange County Council for the Gifted and Talented Education Classroom grant. This grant funds a project that provides an extension to her third-grade science unit about environments and survival. Through this project, students will think like a biomimicry engineer as they design a robot that is inspired by an innovation found in nature. In this episode, we discuss how she uses interdisciplinary teaching practices to make time for science learning; why gifted and talented education strategies can benefit all students; and her process for creating a problem-based lesson that ultimately earned her a grant for her classroom. And now, please enjoy my conversation with Janis Lodge. One, welcome! Thanks for being here.

Janis Lodge (01:14):
Of course, I am happy to do it. I’m excited for the opportunity.

Eric Cross (01:17):
Of course! Yeah. Elementary school teachers in science, I feel like there’s so many things to have conversations about. And some of the things that you’ve really focused on, I think, are, really, really important. But I wanna start off with your journey of you becoming a teacher in the classroom. And so, would you kind of give your background, your origin story? How did you end up as a third-grade teacher?

Janis Lodge (01:37):
Well, my story is definitely not a traditional story. Before I was a teacher, I was actually living in Maui, Hawaii. I moved there right after college. I went to Chico State in Northern California. And I got a degree in graphic design. And after I graduated, well, I should give a little bit of a backstory. My last summer before graduating, I spent the whole summer in Maui and I just fell in love with it. So when I graduated, I decided instead of applying for jobs in Northern California, I’m just gonna put some resumes out in Maui and see if I can get a job. And I did. I ended up getting a job doing graphic design and marketing for a kite surf company out there. And I ended up just staying for seven years on the island. And after about seven years, I kind of got a little bit of island fever and decided I wanted to come back to California. I wasn’t sure exactly what I wanted to do, but I just had this calling that I need to do something a little more fulfilling with my life. And I started thinking about different ideas and dreams I had. And I actually started thinking about when I was younger, right? I had this dream. If you were to ask me when I was 10 years old what I wanted to be when I grow up, it would be elementary school teacher.

Eric Cross (02:48):
Really?

Janis Lodge (02:48):
Believe it or not. When I was younger, I transformed my bedroom into a classroom. My stuffed animals were my students. I just thought I’m gonna be the next best teacher ever. And you know, as I went through life and kind of went in different directions, I kind of lost sight of that dream a little bit. But for some reason, when I decided to change careers, I just remembered that. And so I just decided to go get my teaching credential and see if it worked out. And it was probably the best decision I made. I feel like everything just fell perfectly into place. I ended up getting a job at an amazing school, and now, five years later, I’m a third grade teacher.

Eric Cross (03:28):
So one of the questions I have to ask, and talking to elementary school teachers, this comes up a lot: How do you make time for science as an elementary school teacher who’s teaching everything? And let me kind of premise this with, at least for those of us in California, and I’m sure the rest of the states too, but we know this; There’s kind of this pressure with pacing and then even, depending on what school you’re at, math and English tend to get the bulk of things. And maybe there’s this perception also of like, well, I gotta teach math and English, and sometimes science gets put to the back burner for different reasons.

Janis Lodge (03:57):
Well, you’re exactly right. The beginning of the year, we were provided with a pacing from the district. And you know, they try to keep us on track, saying, “You should be starting Unit 2 at this time.” But other than that, there’s really no specific guidelines of how many days we’re supposed to be teaching or for how long. But one kind of secret that I’ve discovered is that I can weave science into the other subjects, specifically with language arts. So quite often what I do is I take a look at the language arts standard, and if it’s identifying the key details and the main idea, well I can do that with the science books used from the curriculum. So I’ll just pull those readers and we’ll do the exact same skill, start with the same standard, but we’ll use the content from science. By doing that, we call that kind of like interdisciplinary study. And the students really enjoy that more, too, because they’re using the same skills but they’re diving deeper into the content.

Eric Cross (04:54):
Right.

Janis Lodge (04:55):
And so also that helps build the background knowledge. So then when it comes to time where, if I want to do a science lab or a science investigation, now they already have that background knowledge ’cause we already dove deep into the reading and they can apply that pretty quickly right away into their lab or whatever activity they’re doing.

Eric Cross (05:12):
Can you give an example maybe of how you might pull out something that might be a skill that you’re trying to develop, maybe in an English content, but you would pull that out in a science lesson, maybe? What would you do?

Janis Lodge (05:25):
We’re actually doing that right now. So we’re in our second unit of science and they’re studying inheritance and traits and they’re looking at different organisms to see how they have adaptations to help them survive in their environment. So coincidentally part of the literacy skills is to look at multiple sources, do research, and summarize and make analysis of what they’re reading. And so we have different varied resources. I have websites; I have books, ebooks, videos, and pictures. And they’re choosing which four sources they want to use. And then, then they’re coming up with a summary at the end and then putting together a Google Slides presentation based on whatever organism that they chose.

Eric Cross (06:05):
Did you have a science background before becoming an elementary school teacher?

Janis Lodge (06:11):
Um, none. Besides what I, you know, took in high school and college.

Eric Cross (06:16):
Did you find it easy to kind of lean into the science, or was it something you just kind of jumped into and said, “All right, I’m gonna get after it”?

Janis Lodge (06:23):
What’s interesting is if, you know, throughout my education, my favorite subjects were English and reading and writing and art. And quite honestly, science wasn’t my favorite subject. But I think because of that, that inspires me to come up with creative ways of presenting the information to them and making it exciting and engaging for them, because I don’t want them to feel that way. I want them to be excited about all subjects. And I think that’s the beauty of combining the different subjects like I mentioned before. Like I say, you know, “What would a scholar do? Think like a wildlife biologist. And like with my project, think like a biomimicry engineer.” And so it kind of shifts their thinking. Like, it’s not just, “Oh, we have to study science.” It’s like, “No, you are the scientist; you are a meteorologist; or you are an author. How would an author write about this? How would an illustrator capture this in a photo or a comic strip?” And so, when you really combine those disciplines, you can take it to another level. So even if science isn’t their favorite subject, like maybe it wasn’t for me growing up, they can still take something they’re passionate about and apply the science content to it and they really resonate with them.

Eric Cross (07:37):
You leaned into your strengths. Which are more like, coming into it, you had all these kind of creative strengths. You have that background as a graphics designer. You were into the arts. But then with those strengths, did that kinda give you more confidence to dive into the science work, because you approached it from your assets that you were already coming to the table with?

Janis Lodge (07:55):
Yeah.You said it perfectly. If you look at it from a different lens, there’s all these different ways you can approach science.

Eric Cross (07:59):
I find it in my own science class, too. We’re all teaching the same standards. But how I approach it is through Eric Cross’s kind of personality and understanding and my angle, and another teacher might do it a different way. But we’re all leading to the same destination.

Janis Lodge (08:14):
Exactly.

Eric Cross (08:15):
That kind of leads me to my next question, and this is having to do with the project that you just alluded to. The biomimicry project. So you did a biomimicry project. Would you consider that like a project based-learning assignment?

Janis Lodge (08:26):
Well, this will be the third year that I’ve taught this unit. And when I wrapped it up last year, it’s through the Amplify Science program, and they do a wonderful job of having a lot of investigations and really thinking like a biomimicry engineer. But the final part of the unit was to design a robot inspired by a giraffe, to eliminate invasive plants in a particular environment. And the project part of it at the end was to create a model using Popsicle sticks and pipe cleaners. And then the other part of it was a digital simulation where they would put in different shape structures of teeth, and kind of reconfigure the shape of the mouth. And then they’d put in what they think is effective, and then the computer would say, oh, you’re 98% successful or 70% successful. And I remember at the end of it the students were like, “OK, well when do we make the robots?” And I thought, “Well, we’re just doing the simulation, or we’re just doing this model out of Popsicle sticks; we’re not actually gonna make a robot.” And they just seemed so disappointed. And that’s kind of how the wheels started turning my head like, “Well, what if they actually could make a robot? The only thing stopping me is I don’t have the materials to do it.” So, shortly after that unit wrapped up, coincidentally I saw the email about this grant opportunity that was being offered through the Orange County Council for Gifted Education. And they said, If you have a project that you wanna get funded that would promote GATE strategies within the classroom, then you can submit this proposal. So that’s how the ball got rolling for that proposal. And I researched different robotics kits and different companies and I found one that was really user-friendly for third graders, and not so difficult for me to learn as well.

Eric Cross (10:10):
You’re a risk taker. Like, I’m already seeing this as I’m talking to you. Is that just who you are or do you have a network? Like what keeps you taking these risks?

Janis Lodge (10:18):
I don’t really consider it a risk, because it’s exciting for me. Like I said, I don’t know that much about robotics, but the idea of learning more and then teaching that to my students is exciting. And you know, there was a little bit of risk ’cause I’m deviating a little bit from the curriculum, from the standard lesson, but to me, the reward of having those kids feel like they accomplished something, and the way that they can take ownership of it and go in so many different directions, and on top of that, develop coding skills and computer science skills and robotic skills, to me it was just like I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it. So I think just being inspired by the potential outcomes of what could happen is what made me take that risk.

Eric Cross (11:05):
Did you just kind of create this from scratch? Did you work with a team of people? How did you come to the point where you were ready to present this for the grant?

Janis Lodge (11:12):
Pretty much from scratch. Like I said, the Amplify unit, it does teach them about robotics that were inspired by nature. So some of the materials that they read, and there’s some videos that show really great examples. There’s like a robotic arm that was inspired by an elephant trunk. There’s a book that shows what this field is, biomimicry engineer, they actually show like what they do in that field. And I thought this is a perfect way to apply it because the curriculum’s already pretty much set it up for me; now I just have to add this one final component to it. And essentially it becomes project-based learning at that point, because they’re taking their knowledge and their skills that they’ve learned up to that point. Even the unit that we’re doing doing right now is building up to it. So it’s kind of that final—instead of giving them a test at the end and saying, “OK, tell me what you learned about inheritance and traits and environments,” they can actually take that knowledge and apply it to an innovation or creation that comes out of their own mind, which is so much more powerful.

Eric Cross (12:11):
Do they connect to any other learning goals as they’re doing these projects?

Janis Lodge (12:15):
Well, I think first and foremost, the 21st century skills that from day one I tell them, the four Cs: collaboration, creativity, communication, and critical thinking. All of those are woven in through this lesson. From the beginning, we talked about the whole engineering design process. So from the beginning, they start with a question and oftentimes that actually can be the hardest for them to think about, “What’s a scientific question or a problem that I wanna solve?” If they’re passionate about, maybe, a sport or the environment or something within their school, I go, “There it is. OK, that’s the problem. How can you design something inspired by nature to solve that problem?” And then, from there they go into the planning and the designing and the testing and then the improving. So going through that engineering design process, I think, is what really makes them feel like they are the engineer going through this. And they can make mistakes. They can take risks. A lot of my students I’ve found are afraid to take risks. They wanna make sure they succeed. And they need that challenge to know that if they do fail, that’s OK. We can just revisit this. We can test it. We can look at it in a different way.

Eric Cross (13:27):
You maybe wonder about, how do you assess something like this?

Janis Lodge (13:30):
I think that’s where all those stages along the way are important. Because I wanna make sure that they have a plan and that it’s based on the knowledge that they’ve gained in the unit. I think one of the other things about project-based learning is the final product of how they demonstrate their mastery. And in my classroom I oftentimes give them a choice of how they’re gonna present that to me. So maybe they’re going to write it out like an essay. Maybe they’re gonna create a Google slide. Maybe they’re gonna make a video. Maybe they’re going to—obviously in this part they will have the model, but they’ll have to have some way to explain it to me. And I think giving them that choice gives them the opportunity to show it in the way that’s meaningful to them.

Eric Cross (14:14):
And are you using like a rubric when you’re grading these assignments? Or, how do you actually grade it?

Janis Lodge (14:20):
Yes. So we have a rubric that’s provided to us for the written component that all the students will do at the end. But I can take that same rubric and see if they’ve applied that to the project. So even the verbiage wouldn’t really need to change. I think it’s still important that the students are able to demonstrate this in written form and so all of them will still complete that written component, but to also give them the opportunity to show that in the modality of their choice. I think is really important too.

Eric Cross (14:48):
Right. And you have some students that feel much more comfortable being able to present orally versus—

Janis Lodge (14:53):
Exactly.

Eric Cross (14:53):
—versus writing versus maybe doing a video. I mean, we see that in middle school and in high school too. Students show their knowledge or their understanding of a topic depending on the medium in different ways, and some better than others. Some may find that they can communicate it a lot better orally, but when pen goes to paper or fingers go to keyboard, you might grade it completely different, ’cause they’re not able to transfer what’s in their mind into writing. And the way you’re doing it, and giving that student choice, they probably have so much more buy-in, I’d imagine, because they get to pick what they get to do.

Janis Lodge (15:21):
Right.

Eric Cross (15:22):
You said something earlier and I wanna come back to it. So you mentioned GATE, and GATE is not something that I hear a lot in my world, but it was something I heard a lot when I was in school. There were kind of all of these perceptions and ideas about GATE. You’re a GATE teacher, correct?

Janis Lodge (15:38):
Right.

Eric Cross (15:39):
What is GATE, and what is it like being a GATE teacher? What are the misconceptions, if any, that you might have heard or come across?

Janis Lodge (15:46):
Well, so GATE stands for Gifted and Talented Education. And first and foremost, I think a misconception is that we’re just kind of doing whatever we want; we come up with our own lessons and teach a totally different curriculum. Which is definitely a myth. Because we start with the exact same standards as any other third grade class that you’d walk into. That’s definitely where we start. But I think in addition to the standards, we also implement what are called GATE standards: So they’re Depth, Complexity, Acceleration, and Novelty. And there’s a lot of tools that we use in the classroom, different strategies. You’ll see things like the prompts of Depth and Complexity. We’ll use things like “think like a disciplinarian”; I’m doing “think like a biomimicry engineer.” But really, all they are are just thinking tools and strategies to elevate students thinking and kind of go below that surface level of the content to dive deeper. It also provides opportunities for acceleration. So for example, our last science unit, it was on magnetic force, and there was a handful of students that just grasped the concepts right away, and they’re ready for something else. They’re ready for more rigor. They need some challenge. And so at that point I can kind of pull that group aside and provide some differentiation for them. And I said, “OK, well, you understand the concept of magnetic force, balanced forces. So now what I want you to do is think about something that you’re really passionate about, and how could you use magnetic force somewhere in that field—again to solve a problem, problem-based learning—and present it to me?” So they create this form, it’s like a “think like a disciplinarian” frame, and one of them was “think like a hockey player.” And he’s trying to think of a way that he can incorporate magnetic force. Anyway, I could go on and on. But basically it’s finding what these students’ passions are. And I do that with all my students. And I should probably preface this by saying that even though these are standards that I implement in my classroom because it’s a GATE classroom, these are practices and tools that can be applied to any learner, at any age. And they really just enrich the education for all students.

Eric Cross (18:02):
So your classroom is, is a mixed classroom. There’s GATE students and then general—

Janis Lodge (18:05):
Right.

Eric Cross (18:07):
—students, non-GATE students, in the same class. It’s interesting because I imagine GATE is kind of scaffolding up to a higher level, but then, you also said something that I’ve noticed when I’m creating scaffolds for my students to support them, who may not be at a grade level, maybe in reading or literacy or math, those same scaffolds can help all students.

Janis Lodge (18:27):
So yeah, I don’t just go, “OK, you’re my GATE students; I’m gonna use these practices on you.” I use it for the whole class. But I’m also surprised by having that mix of these different learning styles. A lot of times students are inspired by other students, or, you know, we have this big thing about one of the prompts is Multiple Perspectives. I try to do that as much as I can, because students are inspired by the ideas of their peers. And quite often, if they hear it from a peer, it could be exactly what I just said, but they heard their student say it in a different way and it just clicks and they’re like, “Wow, I get that.”

Eric Cross (19:00):
I think a lot of teachers struggle or, or maybe feel ill-equipped, to support higher-level students. Did you get trained to be a GATE teacher? First lemme ask that question: Did you get special training for this?

Janis Lodge (19:13):
Yes. I went through a course, I think it was like a six-week certification course, through my district.

Eric Cross (19:19):
OK, so you got a special training, which—I’ve been in the classroom for nine years; I teach at a university as an adjunct professor; but I’ve never been trained on teaching gifted or accelerated students. And I’m kind of wondering now, like, do you feel like it made you a better teacher?

Janis Lodge (19:33):
Absolutely.

Eric Cross (19:34):
And if so, how do I get to do this?

Janis Lodge (19:36):
Well, it’s through the county. I mean, anybody can get trained and certified how to teach this way. But, just like you said, I think coming out of that, my eyes were just open, and my biggest takeaway is that these practices, even though they are designed for gifted and talented, it really kind of reshaped my thinking about how I, number one, present material to the students, that I’m doing it in an engaging way, and I’m not just lecturing at them; there’s opportunities for them to collaborate and communicate and use multiple resources. So, you know, how I’m teaching has changed. And then also, how I’m providing opportunities for them to demonstrate their learning. And a lot of that is project-based learning, because once they have the knowledge and skills they need to do something with it. I mean, that’s really the true definition of innovation, is taking the skills or taking something that you’ve learned, and now go with it. Run with it.

Eric Cross (20:32):
How can we take what you’ve learned and then kind of spread it, so teachers have this in their toolkit, too? Like for me, I have multiple ways to be able to support reading and literacy and math and tools and sentence frames. And my students who have special learning plans, I have a have a lot of tool sets for that. I wanna build my tool sets for this other area for my students who want to continue, who wanna run, or go beyond, or even stretch themselves. I think we need to take some of the things that you’re doing and not make them kind of like this exclusive group, but also let’s share it with everyone, ’cause if everybody can access it—

Janis Lodge (21:03):
I agree.

Eric Cross (21:03):
—we might see a lot more potential or a lot more opportunities for students who might not otherwise have them.

Janis Lodge (21:08):
And one thing: My school, I’m really proud to say that my principal has seen that. You know, he’s like, “Well why are we just keeping this in the GATE classroom?” So he’s working on getting all of our teachers certified.

Eric Cross (21:19):
No, I love what you’re doing and your principal sounds, sounds awesome for doing that and recognizing that this can benefit more students than just the ones who, you know, pass the Raisin Test, I think it’s what it was called when I was taking it, or whatever it is back then.

Janis Lodge (21:31):
Exactly.

Eric Cross (21:32):
We’ve talked about project-based learning, the GATE classroom…I kind of wanna come back to you as we wrap up. Thinking about, like, the jobs that you and I do, and the people that listen to this podcast, we have one of the few jobs that people remember us for a lifetime. And I wanna ask you, who was someone that was maybe inspirational in your educational career, that inspired you, or is maybe one of the most memorable? You might have several…but who is someone that was memorable to you in your career, and why? Why were they memorable to you?

Janis Lodge (22:02):
Yeah. Well, obviously, when I was younger, I was definitely inspired by all my teachers. The fact that I turned my bedroom into a classroom…I just was just in awe of this profession. But I think one that really resonated with me was my junior year in high school. I was taking a newspaper class and the teacher was Mrs. Kavanaugh, and she really taught us everything from writing the articles to the editing, to putting the pages together. And I remember in that class I was working on this program called QuarkXPress. I don’t even know if it exists anymore. But I was just fascinated with putting all these pieces together that we’d worked on for so long and getting the articles, picking the pictures, the illustrations and the titles. And I remember her looking at me saying, “You really enjoy this, don’t you?” And I said, “Yeah.” And she said, “Well, I have a computer graphics elective class that you should take next year.” And I thought, “OK, I’d love to do this, this opportunity to expand my knowledge and my skills.” So because of that, I took the computer graphics class the next year and I just remember throughout the whole time, she was just constantly encouraging me and acknowledging my skills. And I find myself doing that as a teacher as well. ‘Cause that really resonated with me. And it’s funny, this summer I was going through some boxes of some old stuff from high school, and I found this handout that I had made, because I remember my senior year of high school, she said, “Janis, you know what? You’re doing such a great job; we have these new, incoming students coming into the newspaper class, and I’d love for you to actually teach them how to do this pagination on this QuarkXPress program. I want you to put something together and actually teach it to them.” I thought, “Wow, she believes in me that much that she’s gonna let me teach this to the incoming students.” But I think my takeaway from that was that she gave me the opportunity to take those skills and actually do something with them, to apply them right away.

Eric Cross (23:53):
Mrs. Kavanaugh. Miss Kavanaugh. Shout-out to Miss Kavanaugh. As you told that story, I heard you as a teacher because I’m hearing she’s applying these GATE strategies in that situation. That’s what that’s what I heard.

Janis Lodge (24:08):
Yeah, absolutely.

Eric Cross (24:09):
She personalized this learning. She created a specialized opportunity. You presented to a real audience that was authentic. It had this personalization in it and this rigor and this challenge and it made a huge impact. And it’s just amazing to listen to you and hear this come full-circle, and now you’re doing this with little ones. And I just wanna thank you for your time in doing the interview, sharing your story with how you became a teacher, your students, the projects that you do. And just like so many teachers, going the extra mile for your kids and bringing in these really important 21st century skills; they’re gonna be so much better off for it. And I know it makes my job easier when I get them in the classroom, so thank you.

Janis Lodge (24:49):
Yeah. Well, thank you for the opportunity.

Eric Cross (24:51):
My pleasure. Thanks so much for listening and we wanna hear more about you and the educators who inspire you. You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S -T-E-M at amplify dot com. And be sure to click subscribe, wherever you listen to podcasts, and join our Facebook group, Science Connections: The Community. Until next time.

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What Janis Lodge says about science

“The reward of having kids feel like they accomplished something and take ownership is such an opportunity [with project-based learning] that I have to run with it. Being inspired by the potential outcomes of what could happen is what made me take that risk.”

– Janice Lodge

3rd Grade Teacher, De Portola Elementary

Meet the guest

Janis Lodge is a third grade teacher in Orange County, California. Her career in education started six years ago when she decided to follow her passion of making a positive difference in the lives of young scholars. Prior to teaching, Janis lived in Maui, Hawaii for seven years, working in the field of graphic design, marketing, and hospitality. She has found that her interest in innovation, project-based learning, and inquiry-driven exploration has helped shape her into the educator she is today. STEAM is integrated regularly into her classroom, and her students continually develop 21st century skills through a variety of unique projects. ​​Janis is also a PAL (Peer Assistance Leadership) Advisor for her school, where she helps young leaders (4th-6th graders) cultivate their leadership skills and empowers them to make a positive difference in their school and community. Janis was recently awarded the Orange County Council for the Gifted & Talented Education Classroom Grant, which will provide an extension to the third grade Amplify Science Unit: Environments and Survival.

A woman with long blonde hair smiles at the camera; she is inside a circular frame with a small 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!

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