# Contents

1. 1.1: Which One Doesn’t Belong: Tilings
1. Are you ready for more?
2. Lesson 1 Summary
3. Glossary
4. Lesson 1 Practice Problems
1. 2.1: What is Area?
1. Are you ready for more?
2. 2.3: Tangram Triangles
3. Lesson 2 Summary
4. Glossary
5. Lesson 2 Practice Problems
1. 3.1: Comparing Regions
1. Are you ready for more?
2. 3.3: Off the Grid
3. Lesson 3 Summary
4. Lesson 3 Practice Problems
1. 4.1: Features of a Parallelogram
2. 4.2: Area of a Parallelogram
3. 4.3: Lots of Parallelograms
4. Lesson 4 Summary
5. Glossary
6. Lesson 4 Practice Problems
1. 5.1: A Parallelogram and Its Rectangles
2. 5.2: The Right Height?
1. Are you ready for more?
3. Lesson 5 Summary
4. Glossary
5. Lesson 5 Practice Problems
1. 6.1: Missing Dots
1. Are you ready for more?
2. Lesson 6 Summary
3. Lesson 6 Practice Problems
1. 7.1: Same Parallelograms, Different Bases
1. Are you ready for more?
2. 7.3: A Tale of Two Triangles (Part 2)
3. Lesson 7 Summary
4. Lesson 7 Practice Problems
1. 8.1: Composing Parallelograms
2. 8.2: More Triangles
1. Are you ready for more?
3. Lesson 8 Summary
4. Lesson 8 Practice Problems
1. 9.1: Bases and Heights of a Triangle
2. 9.2: Finding a Formula for Area of a Triangle
3. 9.3: Applying the Formula for Area of Triangles
4. Lesson 9 Summary
5. Glossary
6. Lesson 9 Practice Problems
1. 10.1: An Area of 12
2. 10.2: Hunting for Heights
1. Are you ready for more?
3. Lesson 10 Summary
4. Glossary
5. Lesson 10 Practice Problems
1. 11.1: Which One Doesn’t Belong: Bases and Heights
2. 11.2: What Are Polygons?
1. Are you ready for more?
3. 11.4: Pinwheel
4. Lesson 11 Summary
5. Glossary
6. Lesson 11 Practice Problems
1. 12.1: Covering the Cabinet (Part 1)
1. Are you ready for more?
2. 12.3: Building with Snap Cubes
3. Lesson 12 Summary
4. Glossary
5. Lesson 12 Practice Problems
1. 13.1: What are Polyhedra?
1. Are you ready for more?
2. 13.3: Assembling Polyhedra
3. Lesson 13 Summary
4. Glossary
5. Lesson 13 Practice Problems
1. 14.1: Matching Nets
1. Are you ready for more?
2. Lesson 14 Summary
3. Lesson 14 Practice Problems
1. 15.1: Notice and Wonder: Wrapping Paper
2. 15.2: Building Prisms and Pyramids
1. Are you ready for more?
3. Lesson 15 Summary
4. Lesson 15 Practice Problems
1. 16.1: Attributes and Their Measures
2. 16.2: Building with 8 Cubes
1. Are you ready for more?
3. Lesson 16 Summary
4. Glossary
5. Lesson 16 Practice Problems
1. 17.1: Perfect Squares
2. 17.2: Building with 32 Cubes
3. 17.3: Perfect Cubes
1. Are you ready for more?
4. Lesson 17 Summary
5. Glossary
6. Lesson 17 Practice Problems
1. 18.1: Exponent Review
2. 18.2: The Net of a Cube
3. 18.3: Every Cube in the Whole World
4. Lesson 18 Summary
5. Lesson 18 Practice Problems
1. 19.1: Tent Design - Part 1
2. 19.2: Tent Design - Part 2
1. Lesson 1: Tiling the Plane
2. Lesson 2: Finding Area by Decomposing and Rearranging
3. Lesson 3: Reasoning to Find Area
4. Lesson 4: Parallelograms
5. Lesson 5: Bases and Heights of Parallelograms
6. Lesson 6: Area of Parallelograms
7. Lesson 7: From Parallelograms to Triangles
8. Lesson 8: Area of Triangles
9. Lesson 9: Formula for the Area of a Triangle
10. Lesson 10: Bases and Heights of Triangles
11. Lesson 11: Polygons
12. Lesson 12: What is Surface Area?
13. Lesson 13: Polyhedra
14. Lesson 14: Nets and Surface Area
15. Lesson 15: More Nets, More Surface Area
16. Lesson 16: Distinguishing Between Surface Area and Volume
17. Lesson 17: Squares and Cubes
18. Lesson 18: Surface Area of a Cube
19. Lesson 19: Designing a Tent
1. 1.1: What Kind and How Many?
2. 1.2: The Teacher’s Collection
1. Are you ready for more?
3. Lesson 1 Summary
4. Glossary
5. Lesson 1 Practice Problems
1. 2.1: Number Talk: Dividing by 4 and Multiplying by \frac14
2. 2.2: A Collection of Snap Cubes
3. 2.3: Blue Paint and Art Paste
1. Are you ready for more?
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
1. 3.1: Flower Pattern
1. Are you ready for more?
3. Lesson 3 Summary
4. Lesson 3 Practice Problems
1. 4.1: Number Talk: Adjusting a Factor
1. Are you ready for more?
2. 4.3: Perfect Purple Water
3. Lesson 4 Summary
4. Lesson 4 Practice Problems
1. 5.1: Dots and Half Dots
1. Are you ready for more?
2. 5.3: What Are Equivalent Ratios?
3. Lesson 5 Summary
4. Glossary
5. Lesson 5 Practice Problems
1. 6.1: Number Talk: Adjusting Another Factor
1. Are you ready for more?
2. 6.3: Blue Paint on a Double Number Line
3. Lesson 6 Summary
4. Glossary
5. Lesson 6 Practice Problems
1. 7.1: Ordering on a Number Line
2. 7.2: Just a Little Green
1. Are you ready for more?
3. 7.4: Revisiting Tuna Casserole
4. Lesson 7 Summary
5. Glossary
6. Lesson 7 Practice Problems
1. 8.1: Number Talk: Remainders in Division
1. Are you ready for more?
2. 8.3: More Shopping
3. Lesson 8 Summary
4. Glossary
5. Lesson 8 Practice Problems
1. 9.1: Number Talk: Dividing by Powers of 10
2. 9.2: Moving 10 Meters
1. Are you ready for more?
3. Lesson 9 Summary
4. Glossary
5. Lesson 9 Practice Problems
2. 10.2: Concert Tickets
1. Are you ready for more?
3. Lesson 10 Summary
4. Glossary
5. Lesson 10 Practice Problems
1. 11.1: How Is It Growing?
2. 11.2: A Huge Amount of Sparkling Orange Juice
1. Are you ready for more?
3. Lesson 11 Summary
4. Glossary
5. Lesson 11 Practice Problems
1. 12.1: Number Talk: Multiplying by a Unit Fraction
2. 12.2: Comparing Taco Prices
3. 12.3: Hourly Wages
1. Are you ready for more?
4. Lesson 12 Summary
5. Lesson 12 Practice Problems
1. 13.1: Number Talk: Constant Dividend
2. 13.2: Moving 3,000 Meters
1. Are you ready for more?
3. Lesson 13 Summary
4. Lesson 13 Practice Problems
1. 14.1: What Do You Want to Know?
2. 14.2: Info Gap: Hot Chocolate and Potatoes
1. Are you ready for more?
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
1. 15.1: True or False: Multiplying by a Unit Fraction
2. 15.2: Cubes of Paint
1. Are you ready for more?
3. 15.4: Invent Your Own Ratio Problem
4. Lesson 15 Summary
5. Glossary
6. Lesson 15 Practice Problems
1. 16.1: You Tell the Story
1. Are you ready for more?
2. 16.3: Salad Dressing and Moving Boxes
3. Lesson 16 Summary
4. Lesson 16 Practice Problems
1. 17.1: Fix It!
2. 17.2: Who Was Fermi?
3. 17.3: Researching Your Own Fermi Problem
1. Lesson 1: Introducing Ratios and Ratio Language
2. Lesson 2: Representing Ratios with Diagrams
3. Lesson 3: Recipes
4. Lesson 4: Color Mixtures
5. Lesson 5: Defining Equivalent Ratios
6. Lesson 6: Introducing Double Number Line Diagrams
7. Lesson 7: Creating Double Number Line Diagrams
8. Lesson 8: How Much for One?
9. Lesson 9: Constant Speed
10. Lesson 10: Comparing Situations by Examining Ratios
11. Lesson 11: Representing Ratios with Tables
12. Lesson 12: Navigating a Table of Equivalent Ratios
13. Lesson 13: Tables and Double Number Line Diagrams
14. Lesson 14: Solving Equivalent Ratio Problems
15. Lesson 15: Part-Part-Whole Ratios
16. Lesson 16: Solving More Ratio Problems
17. Lesson 17: A Fermi Problem
1. 1.1: Estimating Height
2. 1.2: Window Washing
1. Are you ready for more?
3. Lesson 1 Summary
4. Lesson 1 Practice Problems
1. 2.1: Estimating Volume
2. 2.2: Cutting String
3. 2.3: Card Sort: Measurements
4. Lesson 2 Summary
5. Lesson 2 Practice Problems
1. 3.1: Width of a Paper
1. Are you ready for more?
2. Lesson 3 Summary
3. Lesson 3 Practice Problems
1. 4.1: Number Talk: Fractions of a Number
3. 4.3: Veterinary Weights
4. 4.4: Cooking with a Tablespoon
5. Lesson 4 Summary
6. Lesson 4 Practice Problems
1. 5.1: Closest Quotient
1. Are you ready for more?
2. 5.3: The Best Deal on Beans
3. Lesson 5 Summary
4. Glossary
5. Lesson 5 Practice Problems
1. 6.1: Something per Something
2. 6.2: Cooking Oatmeal
1. Are you ready for more?
3. Lesson 6 Summary
4. Glossary
5. Lesson 6 Practice Problems
1. 7.1: Which One Doesn’t Belong: Comparing Speeds
2. 7.2: Price of Burritos
3. 7.3: Making Bracelets
1. Are you ready for more?
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
1. 8.1: Back on the Treadmill Again
1. Are you ready for more?
2. 8.3: Swimming and Biking
3. Lesson 8 Summary
4. Glossary
5. Lesson 8 Practice Problems
1. 9.1: Grid of 100
1. Are you ready for more?
2. 9.3: The Fastest of All
3. Lesson 9 Summary
4. Lesson 9 Practice Problems
1. 10.1: Dollars and Cents
1. Are you ready for more?
2. 10.3: Coins on a Number Line
3. Lesson 10 Summary
4. Glossary
5. Lesson 10 Practice Problems
1. 11.1: Fundraising Goal
2. 11.2: Three-Day Biking Trip
1. Are you ready for more?
3. Lesson 11 Summary
4. Glossary
5. Lesson 11 Practice Problems
1. 12.1: Notice and Wonder: Tape Diagrams
3. 12.3: 5 Dollars
1. Are you ready for more?
4. Lesson 12 Summary
5. Lesson 12 Practice Problems
1. 13.1: What Percentage Is Shaded?
2. 13.2: Liters, Meters, and Hours
3. 13.3: Nine is . . .
1. Are you ready for more?
4. Lesson 13 Summary
5. Lesson 13 Practice Problems
1. 14.1: Number Talk: Multiplication with Decimals
1. Are you ready for more?
2. 14.3: Info Gap: Music Devices
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
1. 15.1: Number Talk: Decimals
1. Are you ready for more?
2. 15.3: Everything is On Sale
3. Lesson 15 Summary
4. Lesson 15 Practice Problems
1. 16.1: True or False: Percentages
2. 16.2: Jumping Rope
1. Are you ready for more?
3. Lesson 16 Summary
4. Lesson 16 Practice Problems
1. 17.1: Getting Ready to Paint
2. 17.2: How Much It Costs to Paint
3. 17.3: How Long It Takes to Paint
1. Lesson 1: The Burj Khalifa
2. Lesson 2: Anchoring Units of Measurement
3. Lesson 3: Measuring with Different-Sized Units
4. Lesson 4: Converting Units
5. Lesson 5: Comparing Speeds and Prices
6. Lesson 6: Interpreting Rates
7. Lesson 7: Equivalent Ratios Have the Same Unit Rates
8. Lesson 8: More about Constant Speed
9. Lesson 9: Solving Rate Problems
10. Lesson 10: What Are Percentages?
11. Lesson 11: Percentages and Double Number Lines
12. Lesson 12: Percentages and Tape Diagrams
13. Lesson 13: Benchmark Percentages
14. Lesson 14: Solving Percentage Problems
15. Lesson 15: Finding This Percent of That
16. Lesson 16: Finding the Percentage
17. Lesson 17: Painting a Room
1. Glossary