Contents
LZ_IM_GR 8_Unit 8_TG_978-1-64885-160-5_CVR_REVISED.pdf
Blank Page
Grade8-8-Unit-teacher-guide-CCSS 978-1-64885-160-5_TXT.pdf
Unit Narrative
Unit Narrative
Required Materials
Assessments
Assessment : Check Your Readiness
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
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
Lesson 1: The Areas of Squares and Their Side Lengths
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
1.1 Two Regions
Building On
Building Towards
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
1.2 Decomposing to Find Area
Building On
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
1.3 Estimating Side Lengths from Areas
Building On
Addressing
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
1.4 Making Squares
Building On
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
1.5 It's a Square
Building On
Building Towards
Student Task Statement
Student Response
Student Lesson Summary
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: Side Lengths and Areas
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Student Learning Goals
2.1 Notice and Wonder: Intersecting Circles
Building On
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
2.2 One Square
Addressing
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
2.3 The Sides and Areas of Tilted Squares
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
2.4 What Is the Side Length?
Addressing
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
Problem 6
Statement
Solution
Lesson 3: Rational and Irrational Numbers
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
3.1 Algebra Talk: Positive Solutions
Building On
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
3.2 Three Squares
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
3.3 Looking for a Solution
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
3.4 Looking for \sqrt2
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
3.5 Types of Solutions
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 3 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 4: Square Roots on the Number Line
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Student Learning Goals
4.1 Notice and Wonder: Diagonals
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
4.2 Squaring Lines
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
4.3 Square Root of 3
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
4.4 Approximating \sqrt{18}
Addressing
Student Task Statement
Student Response
Student Lesson Summary
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: Reasoning About Square Roots
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Student Learning Goals
5.1 True or False: Squared
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
5.2 Square Root Values
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
5.3 Solutions on a Number Line
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
5.4 Betweens
Addressing
Student Task Statement
Student Response
Student Lesson Summary
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
Problem 8
Statement
Solution
Lesson 6: Finding Side Lengths of Triangles
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Student Learning Goals
6.1 Which One Doesn’t Belong: Triangles
Building On
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
6.2 A Table of Triangles
Building Towards
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
6.3 Meet the Pythagorean Theorem
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
6.4 Does a Squared Plus b Squared Equal c Squared?
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
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
Lesson 7: A Proof of the Pythagorean Theorem
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
7.1 Notice and Wonder: A Square and Four Triangles
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
7.2 Adding Up Areas
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
7.3 Let’s Take it for a Spin
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
7.4 A Transformational Proof
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
7.5 When is it True?
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
Problem 6
Statement
Solution
Lesson 8: Finding Unknown Side Lengths
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Student Learning Goals
8.1 Which One Doesn’t Belong: Equations
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
8.2 Which One Is the Hypotenuse?
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
8.3 Find the Missing Side Lengths
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
8.4 Could be the Hypotenuse, Could be a Leg
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
Problem 6
Statement
Solution
Lesson 9: The Converse
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Student Learning Goals
9.1 The Hands of a Clock
Building Towards
Launch
Student Task Statement
Student Response
Activity Synthesis
9.2 Proving the Converse
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
9.3 Calculating Legs of Right Triangles
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
9.4 Is It a Right Triangle?
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Lesson 9 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Lesson 10: Applications of the Pythagorean Theorem
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Student Learning Goals
10.1 Closest Estimate: Square Roots
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
10.2 Cutting Corners
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
10.3 Internal Dimensions
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
10.4 Jib Sail
Addressing
Student Task Statement
Student Response
Student Lesson Summary
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
Lesson 11: Finding Distances in the Coordinate Plane
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Building Towards
Instructional Routines
Student Learning Goals
11.1 Closest Distance
Building Towards
Launch
Student Task Statement
Student Response
Activity Synthesis
11.2 How Far Apart?
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
11.3 Perimeters with Pythagoras
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
11.4 Finding the Right Distance
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
11.5 Lengths of Line Segments
Addressing
Student Task Statement
Student Response
Student Lesson Summary
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: Edge Lengths and Volumes
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
12.1 Ordering Squares and Cubes
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
12.2 Name That Edge Length!
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
12.3 Card Sort: Rooted in the Number Line
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
12.4 Roots of 36
Addressing
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
Lesson 13: Cube Roots
Goals
Learning Targets
Lesson Narrative
Alignments
Addressing
Instructional Routines
Required Materials
Student Learning Goals
13.1 True or False: Cubed
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
13.2 Cube Root Values
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
13.3 Solutions on a Number Line
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
13.4 Different Types of Roots
Addressing
Student Task Statement
Student Response
Student Lesson Summary
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
Problem 7
Statement
Solution
Lesson 14: Decimal Representations of Rational Numbers
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Building Towards
Instructional Routines
Student Learning Goals
14.1 Notice and Wonder: Shaded Bars
Building Towards
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
14.2 Halving the Length
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
14.3 Recalculating Rational Numbers
Addressing
Instructional Routines
Launch
Anticipated Misconceptions
Student Task Statement
Student Response
Activity Synthesis
14.4 Zooming In On \fracLato{11}
Building On
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
Lesson Synthesis
14.5 An Unknown Rational Number
Addressing
Student Task Statement
Student Response
Student Lesson Summary
Glossary
Lesson 14 Practice Problems
Problem 1
Statement
Solution
Problem 2
Statement
Solution
Problem 3
Statement
Solution
Problem 4
Statement
Solution
Problem 5
Statement
Solution
Lesson 15: Infinite Decimal Expansions
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Required Preparation
Student Learning Goals
15.1 Searching for Digits
Building On
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
15.2 Some Numbers Are Rational
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Are You Ready for More?
Student Response
Activity Synthesis
15.3 Some Numbers Are Not Rational
Addressing
Instructional Routines
Launch
Student Task Statement
Student Response
Activity Synthesis
Lesson Synthesis
15.4 Repeating in Different Ways
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
Problem 6
Statement
Solution
Lesson 16: When Is the Same Size Not the Same Size?
Goals
Learning Targets
Lesson Narrative
Alignments
Building On
Addressing
Instructional Routines
Required Materials
Student Learning Goals
16.1 Three Figures
Building On
Launch
Student Task Statement
Student Response
Activity Synthesis
16.2 A 4:3 Rectangle
Building On
Addressing
Launch
Student Task Statement
Student Response
Activity Synthesis
16.3 The Screen Is the Same Size . . . Or Is It?
Building On
Addressing
Instructional Routines
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
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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