Contents
Lesson 1: Understanding Proportional Relationships
1.1: Notice and Wonder: Two Graphs
1.2: Moving Through Representations
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1.3: Moving Twice as Fast
Lesson 1 Summary
Glossary
Lesson 1 Practice Problems
Lesson 2: Representing Proportional Relationships
2.1: An Unknown Situation
2.2: Card Sort: Proportional Relationships
2.3: Different Scales
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2.4: Representations of Proportional Relationships
2.5: Info Gap: Proportional Relationships
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Comparing Proportional Relationships
3.1: What's the Relationship?
3.2: Comparing Two Different Representations
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Lesson 3 Summary
Lesson 3 Practice Problems
Lesson 4: Introduction to Linear Relationships
4.1: Number Talk: Fraction Division
4.2: Stacking Cups
4.3: Connecting Slope to Rate of Change
Lesson 4 Summary
Glossary
Lesson 4 Practice Problems
Lesson 5: More Linear Relationships
5.1: Growing
5.2: Slopes, Vertical Intercepts, and Graphs
5.3: Summer Reading
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Lesson 5 Summary
Glossary
Lesson 5 Practice Problems
Lesson 6: Representations of Linear Relationships
6.1: Estimation: Which Holds More?
6.2: Rising Water Levels
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6.3: Calculate the Slope
Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Translating to y=mx+b
7.1: Lines that Are Translations
7.2: Increased Savings
7.3: Translating a Line
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Lesson 7 Summary
Lesson 7 Practice Problems
Lesson 8: Slopes Don't Have to be Positive
8.1: Which One Doesn’t Belong: Odd Line Out
8.2: Stand Clear of the Closing Doors, Please
8.3: Travel Habits in July
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8.4: Payback Plan
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Slopes and Equations for All Kinds of Lines
9.1: Which One Doesn’t Belong: Pairs of Lines
9.2: Toward a More General Slope Formula
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9.3: Making Designs
9.4: All the Same
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Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Solutions to Linear Equations
10.1: Same Perimeter
10.2: Apples and Oranges
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10.3: Solutions and Everything Else
Lesson 10 Summary
Glossary
Lesson 10 Practice Problems
Lesson 11: More Solutions to Linear Equations
11.1: Coordinate Pairs
11.2: True or False: Solutions in the Coordinate Plane
11.3: I’ll Take an X, Please
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11.4: Making Signs
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Lesson 11 Summary
Lesson 11 Practice Problems
Lesson 12: On Both of the Lines
12.1: Notice and Wonder: Bugs Passing in the Night
12.2: Bugs Passing in the Night, Continued
12.3: A Close Race
Lesson 12 Summary
Lesson 12 Practice Problems
Lesson 13: Systems of Equations
13.1: Milkshakes
13.2: Passing on the Trail
13.3: Stacks of Cups
Lesson 13 Summary
Glossary
Lesson 13 Practice Problems
Lesson 14: Solving Systems of Equations
14.1: True or False: Two Lines
14.2: Matching Graphs to Systems
14.3: Different Types of Systems
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Lesson 14 Summary
Lesson 14 Practice Problems
Lesson 15: Solving More Systems
15.1: Algebra Talk: Solving Systems Mentally
15.2: Challenge Yourself
15.3: Five Does Not Equal Seven
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Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Writing Systems of Equations
16.1: How Many Solutions? Matching
16.2: Situations and Systems
16.3: Info Gap: Racing and Play Tickets
16.4: Solving Systems Practice
Lesson 16 Summary
Lesson 16 Practice Problems
Lesson 17: Organizing Data
17.1: Notice and Wonder: Messy Data
17.2: Seeing the Data
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17.3: Tables and Their Scatter Plots
Lesson 17 Summary
Glossary
Lesson 17 Practice Problems
Lesson 18: What a Point in a Scatter Plot Means
18.1: The Giant Panda
18.2: Weight and Fuel Efficiency
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18.3: Coat Sales
Lesson 18 Summary
Lesson 18 Practice Problems
Lesson 19: Fitting a Line to Data
19.1: Predict This
19.2: Shine Bright
19.3: The Agony of the Feet
Lesson 19 Summary
Glossary
Lesson 19 Practice Problems
Lesson 20: Describing Trends in Scatter Plots
20.1: Which One Doesn’t Belong: Scatter Plots
20.2: Fitting Lines
20.3: Good Fit Bad Fit
20.4: Practice Fitting Lines
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Lesson 20 Summary
Glossary
Lesson 20 Practice Problems
Lesson 21: The Slope of a Fitted Line
21.1: Estimating Slope
21.2: Describing Linear Associations
21.3: Interpreting Slopes
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21.4: Positive or Negative?
Lesson 21 Summary
Lesson 21 Practice Problems
Lesson 22: Observing More Patterns in Scatter Plots
22.1: Notice and Wonder: Clustering
22.2: Scatter Plot City
22.3: Animal Brains
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Lesson 22 Summary
Lesson 22 Practice Problems
Lesson 23: Looking for Associations
23.1: Notice and Wonder: Bar Association
23.2: Card Sort: Matching Representations
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23.3: Building Another Type of Two-Way Table
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Lesson 23 Summary
Glossary
Lesson 23 Practice Problems
Lesson 24: Using Data Displays to Find Associations
24.1: Sports and Musical Instruments
24.2: Sports and Music Association
24.3: Colored Erasers
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Lesson 24 Summary
Lesson 24 Practice Problems
Lesson 25: Using Linear Relations to Solve Problems
25.1: Buying Fruit
25.2: Five Savings Accounts
25.3: Fabulous Fish
Lesson 26: Solving Problems with Systems of Equations
26.1: Are We There Yet?
26.2: Cycling, Fundraising, Working, and ___?
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Lesson 27: Gone In 30 Seconds
27.1: Measuring 30 Seconds
Learning Targets
Lesson 1: Understanding Proportional Relationships
Lesson 2: Representing Proportional Relationships
Lesson 3: Comparing Proportional Relationships
Lesson 4: Introduction to Linear Relationships
Lesson 5: More Linear Relationships
Lesson 6: Representations of Linear Relationships
Lesson 7: Translating to y=mx+b
Lesson 8: Slopes Don't Have to be Positive
Lesson 9: Slopes and Equations for All Kinds of Lines
Lesson 10: Solutions to Linear Equations
Lesson 11: More Solutions to Linear Equations
Lesson 12: On Both of the Lines
Lesson 13: Systems of Equations
Lesson 14: Solving Systems of Equations
Lesson 15: Solving More Systems
Lesson 16: Writing Systems of Equations
Lesson 17: Organizing Data
Lesson 18: What a Point in a Scatter Plot Means
Lesson 19: Fitting a Line to Data
Lesson 20: Describing Trends in Scatter Plots
Lesson 21: The Slope of a Fitted Line
Lesson 22: Observing More Patterns in Scatter Plots
Lesson 23: Looking for Associations
Lesson 24: Using Data Displays to Find Associations
Lesson 25: Using Linear Relations to Solve Problems
Lesson 26: Solving Problems with Systems of Equations
Lesson 27: Gone In 30 Seconds
Lesson 1: Inputs and Outputs
1.1: Dividing by 0
1.2: Guess My Rule
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1.3: Making Tables
Lesson 1 Summary
Lesson 1 Practice Problems
Lesson 2: Introduction to Functions
2.1: Square Me
2.2: You Know This, Do You Know That?
2.3: Using Function Language
2.4: Same Function, Different Rule?
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Lesson 2 Summary
Glossary
Lesson 2 Practice Problems
Lesson 3: Equations for Functions
3.1: A Square’s Area
3.2: Diagrams, Equations, and Descriptions
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3.3: Dimes and Quarters
Lesson 3 Summary
Glossary
Lesson 3 Practice Problems
Lesson 4: Tables, Equations, and Graphs of Functions
4.1: Notice and Wonder: Doubling Back
4.2: Equations and Graphs of Functions
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4.3: Running around a Track
Lesson 4 Summary
Lesson 4 Practice Problems
Lesson 5: More Graphs of Functions
5.1: Which One Doesn’t Belong: Graphs
5.2: Time and Temperature
5.3: Garbage
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Lesson 5 Summary
Lesson 5 Practice Problems
Lesson 6: Even More Graphs of Functions
6.1: Dog Run
6.2: Which Graph is It?
6.3: Sketching a Story about a Boy and a Bike
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Lesson 6 Summary
Lesson 6 Practice Problems
Lesson 7: Connecting Representations of Functions
7.1: Which are the Same? Which are Different?
7.2: Comparing Temperatures
7.3: Comparing Volumes
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7.4: It’s Not a Race
Lesson 7 Summary
Glossary
Lesson 7 Practice Problems
Lesson 8: Linear Functions
8.1: Bigger and Smaller
8.2: Proportional Relationships Define Linear Functions
8.3: Is it Filling Up or Draining Out?
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8.4: Which is Growing Faster?
Lesson 8 Summary
Lesson 8 Practice Problems
Lesson 9: Linear Models
9.1: Candlelight
9.2: Shadows
9.3: Recycling
Lesson 9 Summary
Lesson 9 Practice Problems
Lesson 10: Piecewise Linear Functions
10.1: Notice and Wonder: Lines on Dots
10.2: Modeling Recycling
10.3: Dog Bath
10.4: Distance and Speed
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Lesson 10 Summary
Lesson 10 Practice Problems
Lesson 11: Slicing Solids
11.1: Prisms, Pyramids, and Polyhedra
11.2: What's the Cross Section?
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11.3: Card Sort: Cross Sections
11.4: Drawing Cross Sections
Lesson 11 Summary
Glossary
Lesson 11 Practice Problems
Lesson 12: Filling Containers
12.1: Which One Doesn’t Belong: Solids
12.2: Height and Volume
12.3: What Is the Shape?
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Lesson 12 Summary
Glossary
Lesson 12 Practice Problems
Lesson 13: How Much Will Fit?
13.1: Two Containers
13.2: What’s Your Estimate?
13.3: Do You Know These Figures?
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Lesson 13 Summary
Glossary
Lesson 13 Practice Problems
Lesson 14: Volume of Right Prisms
14.1: Three Prisms with the Same Volume
14.2: Finding Volume with Cubes
14.3: Can You Find the Volume?
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14.4: What’s the Prism’s Height?
Lesson 14 Summary
Glossary
Lesson 14 Practice Problems
Lesson 15: Decomposing Bases for Area
15.1: Are These Prisms?
15.2: A Box of Chocolates
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15.3: Another Prism
Lesson 15 Summary
Lesson 15 Practice Problems
Lesson 16: Surface Area of Right Prisms
16.1: Multifaceted
16.2: So Many Faces
16.3: Revisiting the Box of Chocolates
16.4: A Wheelbarrow of Concrete
Lesson 16 Summary
Glossary
Lesson 16 Practice Problems
Lesson 17: Applying Volume and Surface Area
17.1: You Decide
17.2: Foam Play Structure
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17.3: Filling the Sandbox
Lesson 17 Summary
Lesson 17 Practice Problems
Lesson 18: The Volume and Dimensions of a Cylinder
18.1: A Circle's Dimensions
18.2: Circular Volumes
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18.3: What’s the Dimension?
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18.4: Cylinders with Unknown Dimensions
Lesson 18 Summary
Lesson 18 Practice Problems
Lesson 19: The Volume of a Cone
19.1: Which Has a Larger Volume?
19.2: From Cylinders to Cones
19.3: Calculate That Cone
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Lesson 19 Summary
Lesson 19 Practice Problems
Lesson 20: Finding Cone Dimensions
20.1: Number Talk: Thirds
20.2: An Unknown Radius
20.3: Cones with Unknown Dimensions
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20.4: Popcorn Deals
Lesson 20 Summary
Lesson 20 Practice Problems
Lesson 21: Scaling One Dimension
21.1: Driving the Distance
21.2: Double the Edge
21.3: Halve the Height
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21.4: Figuring Out Cone Dimensions
Lesson 21 Summary
Lesson 21 Practice Problems
Lesson 22: Scaling Two Dimensions
22.1: Tripling Statements
22.2: A Square Base
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22.3: Playing with Cones
Lesson 22 Summary
Lesson 22 Practice Problems
Lesson 23: Estimating a Hemisphere
23.1: Notice and Wonder: Two Shapes
23.2: Hemispheres in Boxes
23.3: Estimating Hemispheres
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Lesson 23 Summary
Lesson 23 Practice Problems
Lesson 24: The Volume of a Sphere
24.1: Sketch a Sphere
24.2: A Sphere in a Cylinder
24.3: Spheres in Cylinders
Lesson 24 Summary
Lesson 24 Practice Problems
Lesson 25: Cylinders, Cones, and Spheres
25.1: Sphere Arguments
25.2: Sphere’s Radius
25.3: Info Gap: Unknown Dimensions
25.4: The Right Fit
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Lesson 25 Summary
Lesson 25 Practice Problems
Lesson 26: Building Prisms
26.1: Nets
26.2: Making the Base
26.3: Making the Prism
26.4: Combining Prisms
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Lesson 27: Volume As a Function of . . .
27.1: Missing Information?
27.2: Scaling Volume of a Sphere
27.3: A Cylinder, a Cone, and a Sphere
Learning Targets
Lesson 1: Inputs and Outputs
Lesson 2: Introduction to Functions
Lesson 3: Equations for Functions
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Lesson 6: Even More Graphs of Functions
Lesson 7: Connecting Representations of Functions
Lesson 8: Linear Functions
Lesson 9: Linear Models
Lesson 10: Piecewise Linear Functions
Lesson 11: Slicing Solids
Lesson 12: Filling Containers
Lesson 13: How Much Will Fit?
Lesson 14: Volume of Right Prisms
Lesson 15: Decomposing Bases for Area
Lesson 16: Surface Area of Right Prisms
Lesson 17: Applying Volume and Surface Area
Lesson 18: The Volume and Dimensions of a Cylinder
Lesson 19: The Volume of a Cone
Lesson 20: Finding Cone Dimensions
Lesson 21: Scaling One Dimension
Lesson 22: Scaling Two Dimensions
Lesson 23: Estimating a Hemisphere
Lesson 24: The Volume of a Sphere
Lesson 25: Cylinders, Cones, and Spheres
Lesson 26: Building Prisms
Lesson 27: Volume As a Function of . . .
Glossary
Attributions
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Notes
Notes
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