Contents
Lesson 1: Proportional Relationships and Equations
1.1: Number Talk: Division
1.2: Feeding a Crowd, Revisited
1.3: Denver to Chicago
Are you ready for more?
1.4: Revisiting Bread Dough
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Two Equations for Each Relationship
2.1: Missing Figures
2.2: Meters and Centimeters
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2.3: Filling a Water Cooler
2.4: Feeding Shrimp
Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Using Equations to Solve Problems
3.1: Number Talk: Quotients with Decimal Points
3.2: Concert Ticket Sales
3.3: Recycling
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Comparing Relationships with Tables
4.1: Adjusting a Recipe
4.2: Visiting the State Park
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4.3: Running Laps
Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Comparing Relationships with Equations
5.1: Notice and Wonder: Patterns with Rectangles
5.2: More Conversions
5.3: Total Edge Length, Surface Area, and Volume
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5.4: All Kinds of Equations
Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Solving Problems about Proportional Relationships
6.1: What Do You Want to Know?
6.2: Info Gap: Biking and Rain
6.3: Moderating Comments
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Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Graphs of Proportional Relationships
7.1: Notice These Points
7.2: T-shirts for Sale
7.3: Tyler's Walk
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Lesson 7 Summary
Glossary
Lesson 7 Practice Problems
Lesson 8: Using Graphs to Compare Relationships
8.1: Number Talk: Fraction Multiplication and Division
8.2: Race to the Bumper Cars
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8.3: Space Rocks and the Price of Rope
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Two Graphs for Each Relationship
9.1: True or False: Fractions and Decimals
9.2: Tables, Graphs, and Equations
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9.3: Hot Dog Eating Contest
Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: How Well Can You Measure?
10.1: Estimating a Percentage
10.2: Perimeter of a Square
10.3: Area of a Square
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Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Exploring Circles
11.1: How Do You Figure?
11.2: Sorting Round Objects
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11.3: Measuring Circles
11.4: Drawing Circles
Lesson 11 Summary
Glossary
Lesson 11 Practice Problems
Lesson 12: Exploring Circumference
12.1: Which Is Greater?
12.2: Measuring Circumference and Diameter
12.3: Calculating Circumference and Diameter
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Lesson 12 Summary
Glossary
Lesson 12 Practice Problems
Lesson 13: Applying Circumference
13.1: What Do We Know? What Can We Estimate?
13.2: Using \pi
13.3: Around the Running Track
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13.4: Measuring a Picture Frame
Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Estimating Areas
14.1: Mental Calculations
14.2: House Floorplan
14.3: Area of Nevada
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Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Area of a Circle
15.1: Irrigating a Field
15.2: Estimating Areas of Circles
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15.3: Making a Polygon out of a Circle
15.4: Making Another Polygon out of a Circle
Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Applying Area of Circles
16.1: Still Irrigating the Field
16.2: Comparing Areas Made of Circles
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16.3: The Running Track Revisited
Lesson 16 Summary
Lesson 16 Practice Problems
Lesson 17: Four Representations
17.1: Which is the Bluest?
17.2: One Scenario, Four Representations
17.3: Make a Poster
Lesson 17 Summary
Lesson 17 Practice Problems
Lesson 18: Using Water Efficiently
18.1: Comparing Baths and Showers
18.2: Saving Water: Bath or Shower?
18.3: Representing Water Usage
Lesson 19: Distinguishing Circumference and Area
19.1: Filling the Plate
19.2: Card Sort: Circle Problems
19.3: Visual Display of Circle Problem
19.4: Analyzing Circle Claims
Are you ready for more?
Lesson 19 Summary
Lesson 19 Practice Problems
Lesson 20: Stained-Glass Windows
20.1: Cost of a Stained-Glass Window
20.2: A Bigger Window
20.3: Invent Your Own Design
Learning Targets
Lesson 1: Proportional Relationships and Equations
Lesson 2: Two Equations for Each Relationship
Lesson 3: Using Equations to Solve Problems
Lesson 4: Comparing Relationships with Tables
Lesson 5: Comparing Relationships with Equations
Lesson 6: Solving Problems about Proportional Relationships
Lesson 7: Graphs of Proportional Relationships
Lesson 8: Using Graphs to Compare Relationships
Lesson 9: Two Graphs for Each Relationship
Lesson 10: How Well Can You Measure?
Lesson 11: Exploring Circles
Lesson 12: Exploring Circumference
Lesson 13: Applying Circumference
Lesson 14: Estimating Areas
Lesson 15: Area of a Circle
Lesson 16: Applying Area of Circles
Lesson 17: Four Representations
Lesson 18: Using Water Efficiently
Lesson 19: Distinguishing Circumference and Area
Lesson 20: Stained-Glass Windows
Lesson 1: Half as Much Again
1.1: Notice and Wonder: Tape Diagrams
1.2: Walking Half as Much Again
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1.3: More and Less
1.4: Card Sort: Representations of Proportional Relationships
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Say It with Decimals
2.1: Notice and Wonder: Fractions to Decimals
2.2: Repeating Decimals
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2.3: More and Less with Decimals
2.4: Card Sort: More Representations
Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Increasing and Decreasing
3.1: Improving Their Game
3.2: More Cereal and a Discounted Shirt
3.3: Using Tape Diagrams
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3.4: Agree or Disagree: Percentages
Lesson 3 Summary
Glossary
Lesson 3 Practice Problems
Lesson 4: One Hundred Percent
4.1: Notice and Wonder: Double Number Line
4.2: Double Number Lines
4.3: Representing More Juice
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4.4: Protecting the Green Sea Turtle
Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: Percent Increase and Decrease with Equations
5.1: Number Talk: From 100 to 106
5.2: Interest and Depreciation
5.3: Matching Equations
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5.4: Representing Percent Increase and Decrease: Equations
Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: More and Less than 1%
6.1: Number Talk: What Percentage?
6.2: Waiting Tables
6.3: Fractions of a Percent
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6.4: Population Growth
Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Tax and Tip
7.1: Notice and Wonder: The Price of Sunglasses
7.2: Shopping in Two Different Cities
7.3: Shopping in a Third City
7.4: Dining at a Restaurant
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Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Percentage Situations
8.1: Tax, Tip, and Discount
8.2: A Car Dealership
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8.3: Commission at a Gym
8.4: Info Gap: Sporting Goods
8.5: Card Sort: Percentage Situations
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Measurement Error
9.1: Measuring to the Nearest
9.2: Measuring a Soccer Field
9.3: Measuring Your Classroom
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Lesson 9 Summary
Glossary
Lesson 9 Practice Problems
Lesson 10: Percent Error
10.1: Number Talk: Estimating a Percentage of a Number
10.2: Plants, Bicycles, and Crowds
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10.3: Measuring in the Heat
Lesson 10 Summary
Glossary
Lesson 10 Practice Problems
Lesson 11: Error Intervals
11.1: A Lot of Iron Ore
11.2: Saw Mill
11.3: Info Gap: Quality Control
Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: Posing Percentage Problems
12.1: Sorting the News
12.2: Investigating
12.3: Displaying the News
Lesson 12 Summary
Learning Targets
Lesson 1: Half as Much Again
Lesson 2: Say It with Decimals
Lesson 3: Increasing and Decreasing
Lesson 4: One Hundred Percent
Lesson 5: Percent Increase and Decrease with Equations
Lesson 6: More and Less than 1%
Lesson 7: Tax and Tip
Lesson 8: Percentage Situations
Lesson 9: Measurement Error
Lesson 10: Percent Error
Lesson 11: Error Intervals
Lesson 12: Posing Percentage Problems
Glossary
Attributions
Image Attributions
Notes
Notes
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