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
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
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: Areas 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 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
5.3 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
5.4 One More Parallelogram
Addressing
Launch
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: From Parallelograms to Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
6.1 Same Parallelograms, Different Bases
Addressing
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
6.2 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
6.3 A Tale of Two Triangles (Part 2)
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
6.4 A Tale of Two Triangles (Part 3)
Building Towards
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: Area of Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
7.1 Composing Parallelograms
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
7.2 More Triangles
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
7.3 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
7.4 An Area of 14
Addressing
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
Lesson 8: Formula for the Area of a Triangle
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Student Learning Goals
8.1 Bases and Heights of a Triangle
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
8.2 Finding a Formula for Area of a Triangle
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
8.3 Applying the Formula for Area of Triangles
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
8.4 Two More Triangles
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 8 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 9: Polygons
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
9.1 Which One Doesn’t Belong: Bases and Heights
Building On
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
9.2 What Are Polygons?
Building On
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
9.3 Quadrilateral Strategies
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
9.4 Pinwheel
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
9.5 Triangulation
Addressing
Launch
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
Section: Surface Area
Lesson 10: What is Surface Area?
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
10.1 Covering the Cabinet (Part 1)
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
10.2 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
10.3 Building with Snap Cubes
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
10.4 A Snap Cube Prism
Addressing
Launch
Anticipated Misconceptions
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
Problem 7
Statement
Solution
Lesson 11: Polyhedra and Nets
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
11.1 What are Polyhedra?
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
11.2 Prisms and Pyramids
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
11.3 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
11.4 Unfolded
Addressing
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
Lesson 12: More Nets, More Surface Area
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
12.1 Notice and Wonder: Wrapping Paper
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
12.2 Building Prisms and Pyramids
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
12.3 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
12.4 Surface Area of a Triangular Prism
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 12 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Section: Let’s Put it to Work
Lesson 13: Designing a Tent
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
13.1 Tent Design - Part 1
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
13.2 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
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