Contents
Lesson 1: Positive and Negative Numbers
1.1: Notice and Wonder: Memphis and Bangor
1.2: What’s the Temperature?
1.3: Seagulls Soar, Sharks Swim
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1.4: High Places, Low Places
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Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Comparing Positive and Negative Numbers
2.1: Which One Doesn’t Belong: Inequalities
2.2: Comparing Temperatures
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2.3: Rational Numbers on a Number Line
Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Ordering Rational Numbers
3.1: How Do They Compare?
3.2: Ordering Rational Number Cards
3.3: Comparing Points on A Line
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3.4: Drinks for Sale
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Absolute Value of Numbers
4.1: Number Talk: Closer to Zero
4.2: Jumping Flea
4.3: Absolute Elevation and Temperature
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Lesson 4 Summary
Glossary
Lesson 4 Practice Problems
Lesson 5: Comparing Numbers and Distance from Zero
5.1: Opposites
5.2: Submarine
5.3: Info Gap: Points on the Number Line
5.4: Inequality Mix and Match
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Changing Temperatures
6.1: Which One Doesn’t Belong: Arrows
6.2: Warmer and Colder
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6.3: Winter Temperatures
Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Changing Elevation
7.1: That's the Opposite
7.2: Cliffs and Caves
7.3: Adding Rational Numbers
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7.4: School Supply Number Line
Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Money and Debts
8.1: Concert Tickets
8.2: Cafeteria Food Debt
8.3: Bank Statement
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Lesson 8 Summary
Glossary
Lesson 8 Practice Problems
Lesson 9: Representing Subtraction
9.1: Equivalent Equations
9.2: Subtraction with Number Lines
9.3: We Can Add Instead
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Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Subtracting Rational Numbers
10.1: Number Talk: Missing Addend
10.2: Expressions with Altitude
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10.3: Does the Order Matter?
10.4: Phone Inventory
Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Constructing the Coordinate Plane
11.1: Guess My Line
11.2: The Coordinate Plane
11.3: Axes Drawing Decisions
Lesson 11 Summary
Glossary
Lesson 11 Practice Problems
Lesson 12: Interpreting Points on a Coordinate Plane
12.1: Unlabeled Points
12.2: Account Balance
12.3: High and Low Temperatures
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Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: Distances and Shapes on the Coordinate Plane
13.1: Coordinate Patterns
13.2: Signs of Numbers in Coordinates
13.3: Finding Distances on a Coordinate Plane
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13.4: Plotting Polygons
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Lesson 13 Summary
Lesson 13 Practice Problems
Lesson 14: Position, Speed, Direction
14.1: Distance, Rate, Time
14.2: Velocity
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14.3: Before and After
14.4: Backwards in Time
Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Multiplying Rational Numbers
15.1: Which One Doesn’t Belong: Expressions
15.2: Rational Numbers Multiplication Grid
15.3: Card Sort: Matching Expressions
15.4: Row Game: Multiplying Rational Numbers
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Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Dividing Rational Numbers
16.1: Tell Me Your Sign
16.2: Multiplication and Division
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16.3: Drilling Down
Lesson 16 Summary
Glossary
Lesson 16 Practice Problems
Lesson 17: Negative Rates
17.1: Grapes per Minute
17.2: Water Level in the Aquarium
17.3: Up and Down with the Piccards
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17.4: Buying and Selling Power
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Lesson 17 Summary
Lesson 17 Practice Problems
Lesson 18: Expressions with Rational Numbers
18.1: True or False: Rational Numbers
18.2: Card Sort: The Same But Different
18.3: Near and Far From Zero
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18.4: Seagulls and Sharks Again
Lesson 18 Summary
Glossary
Lesson 18 Practice Problems
Lesson 19: Solving Equations with Rational Numbers
19.1: Number Talk: Opposites and Reciprocals
19.2: Match Solutions
19.3: Trip to the Mountains
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19.4: Card Sort: Matching Inverses
Lesson 19 Summary
Glossary
Lesson 19 Practice Problems
Lesson 20: Representing Contexts with Equations
20.1: Don't Solve It
20.2: Warmer or Colder than Before?
20.3: Animals Changing Altitudes
20.4: Equations Tell a Story
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Lesson 20 Summary
Lesson 20 Practice Problems
Lesson 21: Drawing on the Coordinate Plane
21.1: Cat Pictures
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21.2: Design Your Own Image
Lesson 22: The Stock Market
22.1: Revisiting Interest and Depreciation
22.2: Gains and Losses
22.3: What is a Stock Portfolio?
22.4: Your Own Stock Portfolio
Learning Targets
Lesson 1: Positive and Negative Numbers
Lesson 2: Comparing Positive and Negative Numbers
Lesson 3: Ordering Rational Numbers
Lesson 4: Absolute Value of Numbers
Lesson 5: Comparing Numbers and Distance from Zero
Lesson 6: Changing Temperatures
Lesson 7: Changing Elevation
Lesson 8: Money and Debts
Lesson 9: Representing Subtraction
Lesson 10: Subtracting Rational Numbers
Lesson 11: Constructing the Coordinate Plane
Lesson 12: Interpreting Points on a Coordinate Plane
Lesson 13: Distances and Shapes on the Coordinate Plane
Lesson 14: Position, Speed, Direction
Lesson 15: Multiplying Rational Numbers
Lesson 16: Dividing Rational Numbers
Lesson 17: Negative Rates
Lesson 18: Expressions with Rational Numbers
Lesson 19: Solving Equations with Rational Numbers
Lesson 20: Representing Contexts with Equations
Lesson 21: Drawing on the Coordinate Plane
Lesson 22: The Stock Market
Lesson 1: Representing Data Graphically
1.1: Curious about Caps
1.2: Estimating Caps
1.3: Been There, Done That!
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1.4: Favorite Summer Sports
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Using Dot Plots to Answer Statistical Questions
2.1: Packs on Backs
2.2: On the Phone
2.3: Click-Clack
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Interpreting Histograms
3.1: Dog Show (Part 1)
3.2: Dog Show (Part 2)
3.3: Tall and Taller Players
Lesson 3 Summary
Glossary
Lesson 3 Practice Problems
Lesson 4: The Mean
4.1: Which One Doesn’t Belong: Division
4.2: Spread Out and Share
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4.3: Travel Times (Part 2)
Lesson 4 Summary
Glossary
Lesson 4 Practice Problems
Lesson 5: Variability and MAD
5.1: Shooting Hoops (Part 1)
5.2: Shooting Hoops (Part 3)
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5.3: Which Player Would You Choose?
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5.4: Swimmers Over the Years
Lesson 5 Summary
Glossary
Lesson 5 Practice Problems
Lesson 6: The Median
6.1: The Plot of the Story
6.2: Finding the Middle
6.3: Mean or Median?
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Lesson 6 Summary
Glossary
Lesson 6 Practice Problems
Lesson 7: Box Plots and Interquartile Range
7.1: Notice and Wonder: Two Parties
7.2: The Five-Number Summary
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7.3: Human Box Plot
7.4: Studying Blinks
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Lesson 7 Summary
Glossary
Lesson 7 Practice Problems
Lesson 8: Larger Populations
8.1: First Name versus Last Name
8.2: John Jacobjingleheimerschmidt
8.3: Siblings and Pets
8.4: Sampling the Population
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Lesson 8 Summary
Glossary
Lesson 8 Practice Problems
Lesson 9: What Makes a Good Sample?
9.1: Number Talk: Division by Powers of 10
9.2: Selling Paintings
9.3: Sampling the Fish Market
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9.4: Auditing Sales
Lesson 9 Summary
Glossary
Lesson 9 Practice Problems
Lesson 10: Sampling in a Fair Way
10.1: Ages of Moviegoers
10.2: Comparing Methods for Selecting Samples
10.3: That’s the First Straw
10.4: That's the Last Straw
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Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Estimating Population Measures of Center
11.1: Describing the Center
11.2: Three Different TV Shows
11.3: Who’s Watching What?
11.4: Movie Reviews
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Lesson 11 Summary
Glossary
Lesson 11 Practice Problems
Lesson 12: More about Sampling Variability
12.1: Average Reactions
12.2: Reaction Population
12.3: How Much Do You Trust the Answer?
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Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: What Are Probabilities?
13.1: Which Game Would You Choose?
13.2: What’s Possible?
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13.3: What’s in the Bag?
Lesson 13 Summary
Glossary
Lesson 13 Practice Problems
Lesson 14: Estimating Probabilities Through Repeated Experiments
14.1: Decimals on the Number Line
14.2: In the Long Run
14.3: Due For a Win
Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Keeping Track of All Possible Outcomes
15.1: How Many Different Meals?
15.2: Lists, Tables, and Trees
15.3: How Many Sandwiches?
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Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Multi-step Experiments
16.1: True or False?
16.2: Spinning a Color and Number
16.3: Cubes and Coins
16.4: Pick a Card
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Lesson 16 Summary
Lesson 16 Practice Problems
Lesson 17: Designing Simulations
17.1: Number Talk: Division
17.2: Breeding Mice
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17.3: Designing Simulations
Lesson 17 Summary
Lesson 17 Practice Problems
Learning Targets
Lesson 1: Representing Data Graphically
Lesson 2: Using Dot Plots to Answer Statistical Questions
Lesson 3: Interpreting Histograms
Lesson 4: The Mean
Lesson 5: Variability and MAD
Lesson 6: The Median
Lesson 7: Box Plots and Interquartile Range
Lesson 8: Larger Populations
Lesson 9: What Makes a Good Sample?
Lesson 10: Sampling in a Fair Way
Lesson 11: Estimating Population Measures of Center
Lesson 12: More about Sampling Variability
Lesson 13: What Are Probabilities?
Lesson 14: Estimating Probabilities Through Repeated Experiments
Lesson 15: Keeping Track of All Possible Outcomes
Lesson 16: Multi-step Experiments
Lesson 17: Designing Simulations
Lesson 1: Fermi Problems
1.1: Ant Trek
1.2: Stacks and Stacks of Cereal Boxes
1.3: Covering the Washington Monument
Lesson 2: If Our Class Were the World
2.1: All 7.4 Billion of Us
2.2: About the People in the World
2.3: If Our Class Were the World
Lesson 3: Rectangle Madness
3.1: Squares in Rectangles
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3.2: More Rectangles, More Squares
3.3: Finding Equivalent Fractions
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3.4: It’s All About Fractions
Lesson 4: Measurement Error (Part 1)
4.1: How Long Are These Pencils?
4.2: How Long Are These Floor Boards?
Lesson 5: Measurement Error (Part 2)
5.1: Measurement Error for Area
5.2: Measurement Error for Volume
Lesson 6: How Do We Choose?
6.1: Which Was “Yessier”?
6.2: Which Class Voted Purpler?
6.3: Supermajorities
6.4: Best Restaurant
Lesson 7: More than Two Choices
7.1: Field Day
7.2: School Lunches (Part 1)
7.3: School Lunch (Part 2)
7.4: Just Vote Once
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7.5: Weekend Choices
Lesson 8: How Crowded Is this Neighborhood?
8.1: Dot Density
8.2: Dot Density with a Twist
8.3: Housing Density
8.4: Population Density
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Lesson 9: Picking Representatives
9.1: Computers for Kids
9.2: School Mascot (Part 1)
9.3: Advising the School Board
9.4: School Mascot (Part 2)
9.5: Fair and Unfair Districts
Lesson 10: Measuring Long Distances Over Uneven Terrain
10.1: How Far Is It?
10.2: Planning a 5K Course
10.3: Comparing Methods
Lesson 11: Building a Trundle Wheel
11.1: What Is a Trundle Wheel?
11.2: Building a Trundle Wheel
Lesson 12: Using a Trundle Wheel to Measure Distances
12.1: Measuring Distances with the Trundle Wheel
Lesson 13: Designing a 5K Course
13.1: Make a Proposal
13.2: Measuring and Finalizing the Course
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Glossary
Attributions
Image Attributions
Notes
Notes
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