Grade 6
Unit 1: Area and Surface Area
Illustrative Mathematics | Desmos Math 6–A1 |
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Topic A: Reasoning to Find Area | |
Lesson 1: Tiling the Plane | Unit 1 Lesson 1: Shapes on a Plane [Free lesson] |
Lesson 2: Finding Area by Decomposing and Rearranging Lesson 3: Reasoning to Find Area | Unit 1 Lesson 2: Letters |
Topic 2: Parallelograms | |
Lesson 4: Parallelograms Lesson 5: Bases and Heights of Parallelograms Lesson 6: Area of Parallelograms | Unit 1 Lesson 3: Exploring Parallelograms (Print available) [Free lesson] Lesson 4: Off the Grid |
Topic 3: Triangles | |
Lesson 7: From Parallelograms to Triangles | Unit 1 Lesson 3: Exploring Parallelograms (Print available) [Free lesson] Lesson 4: Off the Grid Lesson 6: Triangles and Parallelograms |
Lesson 8: Area of Triangles | Unit 1 Lesson 5: Exploring Triangles (Print available) |
Lesson 9: Formula for the Area of a Triangle Lesson 10: Bases and Heights of Triangles | Unit 1 Lesson 4: Off the Grid Lesson 6: Triangles and Parallelograms |
Topic 4: Polygons | |
Lesson 11: Polygons | Unit 1 Lesson 2: Letters Lesson 8: Pile of Polygons Practice Day 1 (Print available) Unit 7 Lesson 11: Polygon Maker |
Topic 5: Surface Area | |
Lesson 12: What is Surface Area? | Unit 1 Lesson 9: Renata´s Stickers [Free lesson] |
Lesson 13: Polyhedra | Unit 1Lesson 10: Plenty of Polyhedra |
Lesson 14: Nets and Surface Area | Unit 1 Lesson 10: Plenty of Polyhedra Lesson 11: Nothing But Nets (Print available) Lesson 13: Take It To Go |
Lesson 15: More Nets, More Surface Area | Unit 1 Lesson 10: Plenty of Polyhedra Lesson 11: Nothing But Nets (Print available) Lesson 12: Face Value Lesson 13: Take It To Go (Print available) Practice Day 2 (Print available) |
Lesson 16: Distinguishing Between Surface Area and Volume | |
Topic 6: Squares and Cubes | |
Lesson 17: Squares and Cubes | Unit 6 Lesson 12: Squares and Cubes |
Lesson 18: Surface Area of a Cube | |
Topic 7: Let’s Put It to Work | |
Lesson 19: Designing a Tent | Unit 1 Lesson 13: Take It To Go (Print available) |
Unit 2: Introducing Ratios
Unit 3: Rates and Percentages
Lesson 7: Equivalent Ratios Have the Same Unit Rates | Unit 3Lesson 4: Model TrainsLesson 5: Soft Serve [Free lesson] |
Unit 4: Dividing Fractions
Topic 1: Making Sense of Division | |
Lesson 1: Size of Divisor and Size of Quotient Lesson 2: Meanings of Division | Unit 4Lesson 1: Cookie Cutter |
Lesson 3: Interpreting Division Situations | Unit 4Lesson 2: Making Connections (Print available) |
Topic 2: Meanings of Fraction Division | |
Lesson 4: How Many Groups (Part 1) | Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters |
Lesson 5: How Many Groups (Part 2) | Unit 4Lesson 5: Garden Bricks (Print available) |
Lesson 6: Using Diagrams to Find the Number of Groups | Unit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson] |
Lesson 7: What Fraction of a Group? Lesson 8: How Much in Each Group? (Part 1) Lesson 9: How Much in Each Group? (Part 2) | Unit 4Lesson 8: Potting Soil |
Topic 3: Algorithm for Fraction Division | |
Lesson 10: Dividing by Unit and Non-Unit Fractions | Unit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges |
Lesson 11: Using an Algorithm to Divide Fractions | Unit 4Lesson 9: Division ChallengesPractice Day |
Topic 4: Fractions in Lengths, Areas, and Volumes | |
Lesson 12: Fractional Lengths | Unit 4Lesson 11: Classroom Comparisons |
Lesson 13: Rectangles with Fractional Side Lengths | Unit 4Lesson 12: Puzzling Areas (Print available) [Free lesson] |
Lesson 14: Fractional Lengths in Triangles and Prisms | |
Lesson 15: Volume of Prisms | Unit 4Lesson 13: Volume Challenges |
Topic 5: Let’s Put It to Work | |
Lesson 16: Solving Problems with Fractions | Unit 4Lesson 10: Swap Meet (Print available) |
Lesson 17: Fitting Boxes into Boxes | Unit 4Lesson 14: Planter Planner (Print available) |
Unit 5: Arithmetic in Base Ten
Topic 1: Warming Up to Decimals | |
Lesson 1: Using Decimals in a Shopping Context | Unit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson] |
Topic 2: Adding and Subtracting Decimals | |
Lesson 2: Using Decimals to Represent Addition and Subtraction | Unit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits |
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero Digits | Unit 5Lesson 4: Missing Digits |
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits | |
Topic 3: Multiplying Decimals | |
Lesson 5: Decimal Points in Products | Unit 5Lesson 5: Decimal Multiplication |
Lesson 6: Methods for Multiplying Decimals | Unit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available) |
Lesson 7: Using Diagrams to Represent Multiplication | Unit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas |
Lesson 8: Calculating Products of Decimals | Unit 5Lesson 6: Multiplying with Areas |
Topic 4: Dividing Decimals | |
Lesson 9: Using the Partial Quotients Method | Unit 5Lesson 8: Division Diagrams |
Lesson 10: Using Long Division | Unit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available) |
Lesson 11: Dividing Numbers That Result in Decimals Lesson 12: Dividing Decimals by Whole Numbers Lesson 13: Dividing Decimals by Decimals | Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available) |
Topic 5: Let’s Put It to Work | |
Lesson 14: Using Operations on Decimals to Solve Problems | Unit 5Lesson 11: Movie Time [Free lesson] |
Lesson 15: Making and Measuring Boxes | |
Lesson 12: Dividing Decimals by Whole Numbers | |
Lesson 13: Dividing Decimals by Decimals | Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available) |
Unit 6: Expressions and Equations
Unit 7: Rational Numbers
Unit 8: Data Sets and Distributions
Lesson 1: Got Data? Lesson 2: Statistical Questions | Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots |
Topic 2: Dot Plots and Distributions | |
Lesson 3: Representing Data Graphically Lesson 4: Dot Plots Lesson 5: Using Dot Plots to Answer Statistical Questions | Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots |
Lesson 6: Interpreting Histograms Lesson 7: Using Histograms to Answer Statistical Questions Lesson 8: Describing Distributions on Histograms | Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available) |
Topic 3: Measures of Center and Variability | |
Lesson 9: Mean Lesson 10: Finding and Interpreting the Mean as a Balance Point | Unit 8Lesson 7: Snack Time |
Lesson 11: Variability and MAD | Unit 8Lesson 8: Pop It! |
Lesson 12: Using Mean and MAD to Make Comparisons | Unit 8Lesson 9: Hoops |
Topic 4: Median and IQR | |
Lesson 13: Median | Unit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News |
Lesson 14: Comparing Mean and Median | Unit 8Lesson 12: In the News |
Lesson 15: Quartiles and Interquartile Range | Unit 8Lesson 13: Pumpkin Patch |
Lesson 16: Box Plots | Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available) |
Lesson 17: Using Box Plots | Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available) |
Topic 5: Let’s Put It to Work | |
Lesson 18: Using Data to Solve Problems | Unit 8Lesson 16: Hollywood Part 3 (Print available) |
Unit 9: Putting It All Together
Lesson 1: Fermi Problems Lesson 2: In Our Class Were the World | Unit 3Lesson 13: A Country as a Village |
Lesson 3: Rectangle Madness | Unit 5Lesson 14: Common MultiplesLesson 15: Common factors |
Topic 2: Voting | |
Lesson 4: How Do We Choose? | Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available) |
Lesson 5: More than Two Choices | Unit 3Lesson 13: A Country as a Village |
Lesson 6: Picking Representatives | Unit 8Lesson 16: Hollywood Part 3 (Print available) |
Grade 7
Unit 1: Scale Drawings
Illustrative Mathematics | Desmos Math 6–A1 |
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Topic 1: Scaled Copies | |
Lesson 1: What are Scaled Copies? | Unit 1Lesson 1: Scaling Machines [Free lesson] |
Lesson 2: Corresponding Parts and Scale Factors | Unit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks |
Lesson 3: Making Scaled Copies Lesson 4: Scaled Relationship | Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes |
Lesson 5: The Size and the Scale Factor | Unit 1Lesson 4: Scale Factor Challenges |
Lesson 6: Scaling and Area | Unit 1Lesson 5: TilesPractice Day 1 (Print available) |
Topic 2: Scale Drawings | |
Lesson 7: Scale Drawings | Unit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson] |
Lesson 8: Scale Drawings and Maps | |
Lesson 9: Creating Scale Drawings Lesson 10: Changing Scales in Scale Drawings | Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available) |
Lesson 11: Scales without Units | |
Lesson 12: Units in Scale Drawings | Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available) |
Topic 3: Let’s Put It to Work | |
Lesson 13: Draw It to Scale | Unit 1Lesson 10: Room Redesign (Print available) |
Unit 2: Introducing Proportional Relationships
Topic 1: Representing Proportional Relationships with Tables | |
Lesson 1: One of These Things Is Not Like the Others | Unit 2Lesson 1: Paint [Free lesson] |
Lesson 2: Introducing Proportional Relationships with Tables | Unit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory |
Lesson 3: More About Constant of Proportionality | Unit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes |
Topic 2: Representing Proportional Relationships with Equations | |
Lesson 4: Proportional Relationships with Equations | Unit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations |
Lesson 5: Two Equations for Each Relationship Lesson 6: Using Equations to Solve Problems | Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day |
Topic 3: Comparing Proportional and Nonproportional Relationships | |
Lesson 7: Comparing Relationships with Tables | Unit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory |
Lesson 8: Comparing Relationships with Equations | Unit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency |
Lesson 9: Solving Problems About Proportional Relationships | Unit 2Lesson 12: Water Efficiency |
Topic 4: Representing Proportional Relationships with Graphs | |
Lesson 10: Introducing Graphs of Proportional Relationships Lesson 11: Interpreting Graphs of Proportional Relationships Lesson 12: Using Graphs to Compare Relationships Lesson 13: Two Graphs for Each Relationship | Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency |
Topic 5: Let’s Put It to Work | |
Lesson 14: For Representations | Unit 2Lesson 11: Four Representations (Print available) |
Lesson 15: Using Water Efficiency | Unit 2Lesson 12: Water Efficiency |
Unit 3: Measuring Circles
Topic 1: Circumference of a Circle | |
Lesson 1: How Well Can You Measure? | Unit 3Lesson 1: Toothpicks |
Lesson 2: Exploring Circles Lesson 3: Exploring Circumference Lesson 4: Applying Circumference | Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson] |
Lesson 5: Circumference and Wheels | |
Topic 2: Area of a Circle | |
Lesson 6: Estimating Areas | Unit 3Lesson 5: Area Strategies |
Lesson 7: Exploring the Area of a Circle Lesson 8: Relating Area to Circumference | Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available) |
Lesson 9: Applying Area of Circles | Unit 3Lesson 6: Radius Squares (Print available) |
Topic 3: Let’s Put It to Work | |
Lesson 10: Distinguishing Circumference and Area | Unit 3Lesson 7: Why Pi? |
Lesson 11: Stained-Glass Windows | Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available) |
Unit 4: Proportional Relationships and Percentages
Unit 5: Rational Number Arithmetic
Topic 1: Interpreting Negative Numbers | |
Lesson 1: Interpreting Negative Numbers | Unit 5Lesson 1: Floats and Anchors [Free lesson] |
Topic 2: Adding and Subtracting Rational Numbers | |
Lesson 2: Changing Temperatures Lesson 3: Changing Elevation | Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson] |
Lesson 4: Money and Debts | |
Lesson 5: Representing Subtraction | Unit 5Lesson 5: Number Puzzles |
Lesson 6: Subtracting Rational Numbers Lesson 7: Adding and Subtracting to Solve Problems | Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available) |
Topic 3: Multiplying and Dividing Rational Numbers | |
Lesson 8: Position, Speed, and Direction Lesson 9: Multiplying Rational Numbers Lesson 10: Multiply! | Unit 5Lesson 7: Back in Time |
Lesson 11: Dividing Rational Numbers | Unit 5Lesson 8: Speeding Turtles |
Lesson 12: Negative Rates | |
Topic 4: Four Operations with Rational Numbers | |
Lesson 13: Expressions with Rational Numbers | Unit 5Lesson 9: Expressions (Print available) |
Lesson 14: Solving Problems with Rational Numbers | Lesson 11: Changing TemperaturesLesson 12: Arctic Ice Sea (Print available)Lesson 13: Solar Panels and More (Print available) |
Topic 5: Solving Equations When There Are Negative Numbers | |
Lesson 15: Making and Measuring Boxes | |
Lesson 16: Representing Contexts with Equations | |
Topic 6: Let’s Put It to Work | |
Lesson 17: The Stock market |
Unit 6: Expressions, Equations, and Inequalities
Unit 7: Angles, Triangles, and Prisms
Lesson 2: Adjacent Angles Lesson 3: Nonadjacent Angles | Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams |
Lesson 4: Solving for Unknown Angles | Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) |
Lesson 5: Using Equations to Solve for Unknown Angles | Unit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson] |
Topic 2: Drawing Polygons with Given Conditions | |
Lesson 6: Building Polygons (Part 1) Lesson 7: Building Polygons (Part 2) | Unit 7Lesson 6: Is It Enough? |
Lesson 8: Triangles with 3 Common Measures | Unit 7Lesson 13: Popcorn Possibilities |
Lesson 9: Drawing Triangles (Part 1) Lesson 10: Drawing Triangles (Part 2) | Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available) |
Topic 3: Solid Geometry | |
Lesson 11: Slicing Solids | Unit 7Lesson 9: Slicing Solids |
Lesson 12: Volume of Right Prisms | Unit 7Lesson 10: Simple Prisms |
Lesson 13: Decomposing Bases for Areas | Unit 7Lesson 11: More Complicated Prisms |
Lesson 14: Surface Area of Right Prisms | Unit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available) |
Lesson 15: Distinguishing Volume and Surface Area | |
Lesson 16: Applying Volume and Surface Area | Unit 7Lesson 13: Popcorn Possibilities |
Topic 4: Let’s Put It to Work | |
Lesson 17: Building Prisms |
Unit 8: Probability and Sampling
Grade 8
Unit 1: Rigid Transformations and Congruence
Unit 2: Dilations, Similarity, and Introducing Slope
Unit 3: 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
Topic 1: Exponent Review | |
Lesson 1: Exponent Review | Unit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents |
Topic 2: Exponent Rules | |
Lesson 2: Multiplying Powers of 10 Lesson 3: Powers of Powers of 10 Lesson 4: Dividing Powers of 10 | Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers |
Lesson 5: Negative Exponents with Powers of 10 | Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available) |
Lesson 6: What about Other Bases? | |
Lesson 7: Practice with Rational Bases | |
Lesson 8: Combining Bases | |
Topic 3: Scientific Notation | |
Lesson 9: Describing Large and Small Numbers using Powers of 10 | Unit 7 Lesson 7: Scales and Weights |
Lesson 10: Representing Large Numbers on the Number Line Lesson 11: Representing Small Numbers on the Number Line | Unit 7 Lesson 8: Point Zapper |
Lesson 12: Applications of Arithmetic with Powers of 10 | Unit 7 Lesson 8: Point ZapperLesson 9: Use Your Powers |
Lesson 13: Defining Scientific Notation Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation | Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power |
Lesson 15: Adding and Subtracting with Scientific Notation | Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power |
Topic 4: Let’s Put It to Work | |
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon? | Lesson 13: Star Power Practice Day 2 (Print available) |
Unit 8: Pythagorean Theorem and Irrational Numbers
Topic 1: Side Lengths and Areas of Squares | |
Lesson 1: The Areas of Squares and Their Side Lengths | Unit 8Lesson 1: Tilted Squares |
Lesson 2: Side Lengths and Areas | Unit 8Lesson 2: From Squares to RootsLesson 3: Between Squares |
Lesson 3: Rational and Irrational Numbers | |
Lesson 4: Square Roots on the Number Line | |
Lesson 5: Reasoning about Square Roots | Unit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available) |
Topic 2: The Pythagorean Theorem | |
Lesson 6: Finding Side Lengths of Triangles | Unit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson] |
Lesson 7: A Proof of the Pythagorean Theorem | Unit 8Lesson 7: Pictures to Prove It |
Lesson 8: Finding Unknown Side Lengths | Unit 8Lesson 11: Pond Hopper |
Lesson 9: The Converse | Unit 8Lesson 9: Make It Right |
Lesson 10: Applications of the Pythagorean Theorem | Unit 8Lesson 10: Taco Truck [Free lesson] |
Lesson 11: Finding Distances in the Coordinate Plane | Unit 8Lesson 11: Pond Hopper |
Topic 3: Side Lengths and Volumes of Cubes | |
Lesson 12: Edge Lengths and Volumes Lesson 13: Cube Roots | Unit 8Lesson 5: Filling Cubes |
Topic 4: Decimal Representation of Rational and Irrational Numbers | |
Lesson 14: Decimal Representation of Rational and Numbers Lesson 15: Infinite Decimal expansions | Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions |
Topic 5: Let’s Put It to Work | |
Lesson 16: When Is the Same Size Not the Same Size? | Unit 8Lesson 10: Taco Truck [Free lesson] |
Unit 9: Putting It All Together
Topic 1: Tessellations | |
Lesson 1: Tessellations of the Plane | |
Lesson 2: Regular Tessellations | |
Lesson 3: Tessellating Polygons | |
Topic 2: The Weather | |
Lesson 4: What Influences Temperature? | |
Lesson 5: Plotting the Weather | |
Lesson 6: Using and Interpreting a Mathematical Model |