6 1 3 Student Workbook

Lesson 1: Tiling the Plane
1. 1.1: Which One Doesn’t Belong: Tilings
2. 1.2: More Red, Green, or Blue?
  1. Are you ready for more?
3. Lesson 1 Summary
4. Glossary
5. Lesson 1 Practice Problems
Lesson 2: Finding Area by Decomposing and Rearranging
1. 2.1: What is Area?
2. 2.2: Composing Shapes
  1. Are you ready for more?
3. 2.3: Tangram Triangles
4. Lesson 2 Summary
5. Glossary
6. Lesson 2 Practice Problems
Lesson 3: Reasoning to Find Area
1. 3.1: Comparing Regions
2. 3.2: On the Grid
  1. Are you ready for more?
3. 3.3: Off the Grid
4. Lesson 3 Summary
5. Lesson 3 Practice Problems
Lesson 4: Parallelograms
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
Lesson 5: Bases and Heights of Parallelograms
1. 5.1: A Parallelogram and Its Rectangles
2. 5.2: The Right Height?
3. 5.3: Finding the Formula for Area of Parallelograms
  1. Are you ready for more?
4. Lesson 5 Summary
5. Glossary
6. Lesson 5 Practice Problems
Lesson 6: Area of Parallelograms
1. 6.1: Missing Dots
2. 6.2: More Areas of Parallelograms
  1. Are you ready for more?
3. Lesson 6 Summary
4. Lesson 6 Practice Problems
Lesson 7: From Parallelograms to Triangles
1. 7.1: Same Parallelograms, Different Bases
2. 7.2: A Tale of Two Triangles (Part 1)
  1. Are you ready for more?
3. 7.3: A Tale of Two Triangles (Part 2)
4. Lesson 7 Summary
5. Lesson 7 Practice Problems
Lesson 8: Area of Triangles
1. 8.1: Composing Parallelograms
2. 8.2: More Triangles
3. 8.3: Decomposing a Parallelogram
  1. Are you ready for more?
4. Lesson 8 Summary
5. Lesson 8 Practice Problems
Lesson 9: Formula for the Area of a Triangle
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
Lesson 10: Bases and Heights of Triangles
1. 10.1: An Area of 12
2. 10.2: Hunting for Heights
3. 10.3: Some Bases Are Better Than Others
  1. Are you ready for more?
4. Lesson 10 Summary
5. Glossary
6. Lesson 10 Practice Problems
Lesson 11: Polygons
1. 11.1: Which One Doesn’t Belong: Bases and Heights
2. 11.2: What Are Polygons?
3. 11.3: Quadrilateral Strategies
  1. Are you ready for more?
4. 11.4: Pinwheel
5. Lesson 11 Summary
6. Glossary
7. Lesson 11 Practice Problems
Lesson 12: What is Surface Area?
1. 12.1: Covering the Cabinet (Part 1)
2. 12.2: Covering the Cabinet (Part 2)
  1. Are you ready for more?
3. 12.3: Building with Snap Cubes
4. Lesson 12 Summary
5. Glossary
6. Lesson 12 Practice Problems
Lesson 13: Polyhedra
1. 13.1: What are Polyhedra?
2. 13.2: Prisms and Pyramids
  1. Are you ready for more?
3. 13.3: Assembling Polyhedra
4. Lesson 13 Summary
5. Glossary
6. Lesson 13 Practice Problems
Lesson 14: Nets and Surface Area
1. 14.1: Matching Nets
2. 14.2: Using Nets to Find Surface Area
  1. Are you ready for more?
3. Lesson 14 Summary
4. Lesson 14 Practice Problems
Lesson 15: More Nets, More Surface Area
1. 15.1: Notice and Wonder: Wrapping Paper
2. 15.2: Building Prisms and Pyramids
3. 15.3: Comparing Boxes
  1. Are you ready for more?
4. Lesson 15 Summary
5. Lesson 15 Practice Problems
Lesson 16: Distinguishing Between Surface Area and Volume
1. 16.1: Attributes and Their Measures
2. 16.2: Building with 8 Cubes
3. 16.3: Comparing Prisms Without Building Them
  1. Are you ready for more?
4. Lesson 16 Summary
5. Glossary
6. Lesson 16 Practice Problems
Lesson 17: Squares and Cubes
1. 17.1: Perfect Squares
2. 17.2: Building with 32 Cubes
3. 17.3: Perfect Cubes
4. 17.4: Introducing Exponents
  1. Are you ready for more?
5. Lesson 17 Summary
6. Glossary
7. Lesson 17 Practice Problems
Lesson 18: Surface Area of a Cube
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
Lesson 19: Designing a Tent
1. 19.1: Tent Design - Part 1
2. 19.2: Tent Design - Part 2
Learning Targets
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
20. Lesson 1: Introducing Ratios and Ratio Language
  1. 1.1: What Kind and How Many?
  2. 1.2: The Teacher’s Collection
  3. 1.3: The Student’s Collection
    1. Are you ready for more?
  4. Lesson 1 Summary
  5. Glossary
  6. Lesson 1 Practice Problems
21. Lesson 2: Representing Ratios with Diagrams
  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
  4. 2.4: Card Sort: Spaghetti Sauce
    1. Are you ready for more?
  5. Lesson 2 Summary
  6. Lesson 2 Practice Problems
22. Lesson 3: Recipes
  1. 3.1: Flower Pattern
  2. 3.2: Powdered Drink Mix
    1. Are you ready for more?
  3. 3.3: Batches of Cookies
  4. Lesson 3 Summary
  5. Lesson 3 Practice Problems
23. Lesson 4: Color Mixtures
  1. 4.1: Number Talk: Adjusting a Factor
  2. 4.2: Turning Green
    1. Are you ready for more?
  3. 4.3: Perfect Purple Water
  4. Lesson 4 Summary
  5. Lesson 4 Practice Problems
24. Lesson 5: Defining Equivalent Ratios
  1. 5.1: Dots and Half Dots
  2. 5.2: Tuna Casserole
    1. Are you ready for more?
  3. 5.3: What Are Equivalent Ratios?
  4. Lesson 5 Summary
  5. Glossary
  6. Lesson 5 Practice Problems
25. Lesson 6: Introducing Double Number Line Diagrams
  1. 6.1: Number Talk: Adjusting Another Factor
  2. 6.2: Drink Mix on a Double Number Line
    1. Are you ready for more?
  3. 6.3: Blue Paint on a Double Number Line
  4. Lesson 6 Summary
  5. Glossary
  6. Lesson 6 Practice Problems
26. Lesson 7: Creating Double Number Line Diagrams
  1. 7.1: Ordering on a Number Line
  2. 7.2: Just a Little Green
  3. 7.3: Art Paste on a Double Number Line
    1. Are you ready for more?
  4. 7.4: Revisiting Tuna Casserole
  5. Lesson 7 Summary
  6. Glossary
  7. Lesson 7 Practice Problems
27. Lesson 8: How Much for One?
  1. 8.1: Number Talk: Remainders in Division
  2. 8.2: Grocery Shopping
    1. Are you ready for more?
  3. 8.3: More Shopping
  4. Lesson 8 Summary
  5. Glossary
  6. Lesson 8 Practice Problems
28. Lesson 9: Constant Speed
  1. 9.1: Number Talk: Dividing by Powers of 10
  2. 9.2: Moving 10 Meters
  3. 9.3: Moving for 10 Seconds
    1. Are you ready for more?
  4. Lesson 9 Summary
  5. Glossary
  6. Lesson 9 Practice Problems
29. Lesson 10: Comparing Situations by Examining Ratios
  1. 10.1: Treadmills
  2. 10.2: Concert Tickets
  3. 10.3: Sparkling Orange Juice
    1. Are you ready for more?
  4. Lesson 10 Summary
  5. Glossary
  6. Lesson 10 Practice Problems
30. Lesson 11: Representing Ratios with Tables
  1. 11.1: How Is It Growing?
  2. 11.2: A Huge Amount of Sparkling Orange Juice
  3. 11.3: Batches of Trail Mix
    1. Are you ready for more?
  4. Lesson 11 Summary
  5. Glossary
  6. Lesson 11 Practice Problems
31. Lesson 12: Navigating a Table of Equivalent Ratios
  1. 12.1: Number Talk: Multiplying by a Unit Fraction
  2. 12.2: Comparing Taco Prices
  3. 12.3: Hourly Wages
  4. 12.4: Zeno’s Memory Card
    1. Are you ready for more?
  5. Lesson 12 Summary
  6. Lesson 12 Practice Problems
32. Lesson 13: Tables and Double Number Line Diagrams
  1. 13.1: Number Talk: Constant Dividend
  2. 13.2: Moving 3,000 Meters
  3. 13.3: The International Space Station
    1. Are you ready for more?
  4. Lesson 13 Summary
  5. Lesson 13 Practice Problems
33. Lesson 14: Solving Equivalent Ratio Problems
  1. 14.1: What Do You Want to Know?
  2. 14.2: Info Gap: Hot Chocolate and Potatoes
  3. 14.3: Comparing Reading Rates
    1. Are you ready for more?
  4. Lesson 14 Summary
  5. Lesson 14 Practice Problems
34. Lesson 15: Part-Part-Whole Ratios
  1. 15.1: True or False: Multiplying by a Unit Fraction
  2. 15.2: Cubes of Paint
  3. 15.3: Sneakers, Chicken, and Fruit Juice
    1. Are you ready for more?
  4. 15.4: Invent Your Own Ratio Problem
  5. Lesson 15 Summary
  6. Glossary
  7. Lesson 15 Practice Problems
35. Lesson 16: Solving More Ratio Problems
  1. 16.1: You Tell the Story
  2. 16.2: A Trip to the Aquarium
    1. Are you ready for more?
  3. 16.3: Salad Dressing and Moving Boxes
  4. Lesson 16 Summary
  5. Lesson 16 Practice Problems
36. Lesson 17: A Fermi Problem
  1. 17.1: Fix It!
  2. 17.2: Who Was Fermi?
  3. 17.3: Researching Your Own Fermi Problem
Learning Targets
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
18. Lesson 1: The Burj Khalifa
  1. 1.1: Estimating Height
  2. 1.2: Window Washing
  3. 1.3: Climbing the Burj Khalifa
    1. Are you ready for more?
  4. Lesson 1 Summary
  5. Lesson 1 Practice Problems
19. Lesson 2: Anchoring Units of Measurement
  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
20. Lesson 3: Measuring with Different-Sized Units
  1. 3.1: Width of a Paper
  2. 3.2: Measurement Stations
    1. Are you ready for more?
  3. Lesson 3 Summary
  4. Lesson 3 Practice Problems
21. Lesson 4: Converting Units
  1. 4.1: Number Talk: Fractions of a Number
  2. 4.2: Road Trip
  3. 4.3: Veterinary Weights
  4. 4.4: Cooking with a Tablespoon
  5. Lesson 4 Summary
  6. Lesson 4 Practice Problems
22. Lesson 5: Comparing Speeds and Prices
  1. 5.1: Closest Quotient
  2. 5.2: More Treadmills
    1. Are you ready for more?
  3. 5.3: The Best Deal on Beans
  4. Lesson 5 Summary
  5. Glossary
  6. Lesson 5 Practice Problems
23. Lesson 6: Interpreting Rates
  1. 6.1: Something per Something
  2. 6.2: Cooking Oatmeal
  3. 6.3: Cheesecake, Milk, and Raffle Tickets
    1. Are you ready for more?
  4. Lesson 6 Summary
  5. Glossary
  6. Lesson 6 Practice Problems
24. Lesson 7: Equivalent Ratios Have the Same Unit Rates
  1. 7.1: Which One Doesn’t Belong: Comparing Speeds
  2. 7.2: Price of Burritos
  3. 7.3: Making Bracelets
  4. 7.4: How Much Applesauce?
    1. Are you ready for more?
  5. Lesson 7 Summary
  6. Lesson 7 Practice Problems
25. Lesson 8: More about Constant Speed
  1. 8.1: Back on the Treadmill Again
  2. 8.2: Picnics on the Rail Trail
    1. Are you ready for more?
  3. 8.3: Swimming and Biking
  4. Lesson 8 Summary
  5. Glossary
  6. Lesson 8 Practice Problems
26. Lesson 9: Solving Rate Problems
  1. 9.1: Grid of 100
  2. 9.2: Card Sort: Is it a Deal?
    1. Are you ready for more?
  3. 9.3: The Fastest of All
  4. Lesson 9 Summary
  5. Lesson 9 Practice Problems
27. Lesson 10: What Are Percentages?
  1. 10.1: Dollars and Cents
  2. 10.2: Coins
    1. Are you ready for more?
  3. 10.3: Coins on a Number Line
  4. Lesson 10 Summary
  5. Glossary
  6. Lesson 10 Practice Problems
28. Lesson 11: Percentages and Double Number Lines
  1. 11.1: Fundraising Goal
  2. 11.2: Three-Day Biking Trip
  3. 11.3: Puppies Grow Up
    1. Are you ready for more?
  4. Lesson 11 Summary
  5. Glossary
  6. Lesson 11 Practice Problems
29. Lesson 12: Percentages and Tape Diagrams
  1. 12.1: Notice and Wonder: Tape Diagrams
  2. 12.2: Revisiting Jada's Puppy
  3. 12.3: 5 Dollars
  4. 12.4: Staying Hydrated
    1. Are you ready for more?
  5. Lesson 12 Summary
  6. Lesson 12 Practice Problems
30. Lesson 13: Benchmark Percentages
  1. 13.1: What Percentage Is Shaded?
  2. 13.2: Liters, Meters, and Hours
  3. 13.3: Nine is . . .
  4. 13.4: Matching the Percentage
    1. Are you ready for more?
  5. Lesson 13 Summary
  6. Lesson 13 Practice Problems
31. Lesson 14: Solving Percentage Problems
  1. 14.1: Number Talk: Multiplication with Decimals
  2. 14.2: Coupons
    1. Are you ready for more?
  3. 14.3: Info Gap: Music Devices
  4. Lesson 14 Summary
  5. Lesson 14 Practice Problems
32. Lesson 15: Finding This Percent of That
  1. 15.1: Number Talk: Decimals
  2. 15.2: Audience Size
    1. Are you ready for more?
  3. 15.3: Everything is On Sale
  4. Lesson 15 Summary
  5. Lesson 15 Practice Problems
33. Lesson 16: Finding the Percentage
  1. 16.1: True or False: Percentages
  2. 16.2: Jumping Rope
  3. 16.3: Restaurant Capacity
    1. Are you ready for more?
  4. Lesson 16 Summary
  5. Lesson 16 Practice Problems
34. Lesson 17: Painting a Room
  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
Learning Targets
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
Glossary
Attributions
1. Image Attributions
Notes
Notes

Contents