Contents
Unit 1
Required Materials
Unit 1 Assessments
Assessment : Check Your Readiness (A)
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Assessment : Check Your Readiness (B)
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Assessment : Mid-Unit Assessment (A)
Teacher Instructions
Student Instructions
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Assessment : Mid-Unit Assessment (B)
Teacher Instructions
Student Instructions
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Assessment : End-of-Unit Assessment (A)
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Assessment : End-of-Unit Assessment (B)
Problem 1
Statement
Solution
Aligned Standards
Problem 2
Statement
Solution
Aligned Standards
Problem 3
Statement
Solution
Aligned Standards
Problem 4
Statement
Solution
Aligned Standards
Problem 5
Statement
Solution
Aligned Standards
Problem 6
Statement
Solution
Aligned Standards
Problem 7
Statement
Solution
Aligned Standards
Section: Reasoning to Find Area
Lesson 1: Tiling the Plane
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
1.1 Which One Doesn’t Belong: Tilings
Building On
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
1.2 More Red, Green, or Blue?
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
1.3 What is Area?
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 1 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 2: Finding Area by Decomposing and Rearranging
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
2.1 What is Area?
Building On
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
2.2 Composing Shapes
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
2.3 Tangram Triangles
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
2.4 Tangram Rectangle
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 2 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Lesson 3: Reasoning to Find Area
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
3.1 Comparing Regions
Building On
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
3.2 On the Grid
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
3.3 Off the Grid
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
3.4 Maritime Flag
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Lesson 3 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Section: Parallelograms
Lesson 4: Parallelograms
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Student Learning Goals
4.1 Features of a Parallelogram
Building On
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
4.2 Area of a Parallelogram
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
4.3 Lots of Parallelograms
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
4.4 How Would You Find the Area?
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 4 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 5: Bases and Heights of Parallelograms
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Student Learning Goals
5.1 A Parallelogram and Its Rectangles
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
5.2 The Right Height?
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
5.3 Finding the Formula for Area of Parallelograms
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
5.4 Parallelograms S and T
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 5 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Problem 7
Statement
Solution
Lesson 6: Area of Parallelograms
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Student Learning Goals
6.1 Missing Dots
Building On
Launch
Student Task Statement
Student Response
Activity Synthesis
6.2 More Areas of Parallelograms
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
6.3 One More Parallelogram
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Lesson 6 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Section: Triangles
Lesson 7: From Parallelograms to Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
7.1 Same Parallelograms, Different Bases
Addressing
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
7.2 A Tale of Two Triangles (Part 1)
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
7.3 A Tale of Two Triangles (Part 2)
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
7.4 A Tale of Two Triangles (Part 3)
Building Towards
Launch
Student Task Statement
Student Response
Student Lesson Summary
Lesson 7 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 8: Area of Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
8.1 Composing Parallelograms
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
8.2 More Triangles
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
8.3 Decomposing a Parallelogram
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
8.4 An Area of 14
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 8 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Lesson 9: Formula for the Area of a Triangle
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Student Learning Goals
9.1 Bases and Heights of a Triangle
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
9.2 Finding a Formula for Area of a Triangle
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
9.3 Applying the Formula for Area of Triangles
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
9.4 Two More Triangles
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 9 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 10: Bases and Heights of Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
10.1 An Area of 12
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
10.2 Hunting for Heights
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
10.3 Some Bases Are Better Than Others
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
10.4 Stretched Sideways
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 10 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Section: Polygons
Lesson 11: Polygons
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
11.1 Which One Doesn’t Belong: Bases and Heights
Building On
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
11.2 What Are Polygons?
Building On
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
11.3 Quadrilateral Strategies
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
11.4 Pinwheel
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
11.5 Triangulation
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 11 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Section: Surface Area
Lesson 12: What is Surface Area?
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
12.1 Covering the Cabinet (Part 1)
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
12.2 Covering the Cabinet (Part 2)
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
12.3 Building with Snap Cubes
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
12.4 A Snap Cube Prism
Addressing
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 12 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Problem 7
Statement
Solution
Lesson 13: Polyhedra
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
13.1 What are Polyhedra?
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
13.2 Prisms and Pyramids
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
13.3 Assembling Polyhedra
Addressing
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
13.4 Three-Dimensional Shapes
Addressing
Anticipated Misconceptions
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 13 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 14: Nets and Surface Area
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
14.1 Matching Nets
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
14.2 Using Nets to Find Surface Area
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
14.3 Unfolded
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 14 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Lesson 15: More Nets, More Surface Area
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
15.1 Notice and Wonder: Wrapping Paper
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
15.2 Building Prisms and Pyramids
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
15.3 Comparing Boxes
Building On
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
15.4 Surface Area of a Triangular Prism
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 15 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Lesson 16: Distinguishing Between Surface Area and Volume
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
16.1 Attributes and Their Measures
Building On
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
16.2 Building with 8 Cubes
Building On
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
16.3 Comparing Prisms Without Building Them
Building On
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
16.4 Same Surface Area, Different Volumes
Addressing
Launch
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 16 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Section: Squares and Cubes
Lesson 17: Squares and Cubes
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
17.1 Perfect Squares
Building On
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
17.2 Building with 32 Cubes
Building On
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
17.3 Perfect Cubes
Building On
Addressing
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
17.4 Introducing Exponents
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
17.5 Exponent Expressions
Addressing
Anticipated Misconceptions
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 17 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Problem 7
Statement
Solution
Lesson 18: Surface Area of a Cube
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Student Learning Goals
18.1 Exponent Review
Addressing
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
18.2 The Net of a Cube
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
18.3 Every Cube in the Whole World
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
18.4 From Volume to Surface Area
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 18 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Problem 6
Statement
Solution
Section: Let’s Put it to Work
Lesson 19: Designing a Tent
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
19.1 Tent Design - Part 1
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
19.2 Tent Design - Part 2
Addressing
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
Glossary
Attributions
Image Attributions
Contributors
Version Released 2017
Writing Team
Review Team
Supports for Students with Disabilities
Supports for English Language Learners
Digital Activities Development
Copy Editing
Project Management
Engineering
Teacher Professional Learning
Image Alt Text
Image Development
Support Team
Additional Contributors, Version Released 2019
Writing Team
Translation Team
Supports for Students with Disabilities and English Language Learners
Copy Editing
Project Management
Engineering
Image Alt Text
Support Team
Notes
Notes
0
0