reading

Cover
Introduction
1. Low‐Floor, High‐Ceiling Tasks
2. Youcubed Summer Camp
3. Memorization versus Conceptual Engagement
4. Mathematical Thinking, Reasoning, and Convincing
5. Big Ideas
6. Structure of the Book
7. References
Note on Materials
1. Manipulatives and Materials Used in This Book
Activities for Building Norms
1. Encouraging Good Group Work
2. Paper Folding: Learning to Reason, Convince, and Be Skeptical
3. Paper Folding: Learning to Reason, Convince, and Be a Skeptic
BIG IDEA 1: Taking Apart Prisms and Polygons
1. How Big Is the Footprint?
2. Reference
3. Quadrilateral in Question
4. Polygon 1
5. Polygon 2
6. Polygon 3
7. Polygon 4
8. Shards of a Shape
9. Shards of a Shape
10. Shards of a Shape Outline
11. Rising from the Footprint
12. Shanghai Skyline
13. U‐Shaped Building Footprint
14. Building Footprint A
15. Building Footprint B
16. Building Footprint C
17. Building Footprint D
BIG IDEA 2: Folding and Unfolding Objects
1. Folding Cubes in Your Mind
2. Folding in Your Mind
3. Open Box Net A
4. Open Box Net B
5. Open Box Net C
6. Open Box Net D
7. Folding Nets in Your Mind
8. Folding a Net in Your Mind
9. Net Set A
10. Net Set B
11. Net Set C
12. Net Set D
13. Net Set E
14. Net Set F
15. Net Set G
16. Net Set H
17. Filling Our Nets
18. Net‐from‐a‐Square
BIG IDEA 3: Expanding the Number Line
1. Reference
2. Folding around Zero
3. Bouncing around the Number Line
4. Target Number
5. Going 2‐D
6. Coordinate Plane
7. Two Lines on a Plane
BIG IDEA 4: Finding and Using Unit Rates
1. Seeing Unit Rates
2. Tiling Pattern
3. Tiling Pattern Recording Sheet
4. Seeing the Best Deal
5. Water Bottle Price Sheet
6. What’s the Best Deal? Cards
7. How Fast Do You Walk?
BIG IDEA 5: Reasoning with Proportions
1. Jump! Jump!
2. Reference
3. Animal Jump Graph
4. Seeing Animals in a New Way
5. Animal Data Task Cards
6. Animal Data Task Cards
7. A Seat at the Table
8. Restaurant Table Unit
9. Table Table
BIG IDEA 6: Visualizing the Center and Spread of Data
1. The Shape of Data
2. Atlantic Hurricanes of 2017
3. Atlantic Hurricanes of 2007
4. Atlantic Hurricanes of 1997
5. Atlantic Hurricanes of 1987
6. Atlantic Hurricanes of 1977
7. What Does Mean Mean?
8. When Does Mean = Median = Mode = Range?
9. Data Set Challenge Task Cards
BIG IDEA 7: Using Symbols to Describe the World
1. Cuisenaire Rod Equivalents
2. Cuisenaire Rod Equivalents
3. Design Your Own Cuisenaire Rod Equivalents
4. Math Mobiles
5. Reference
6. Math Mobile Puzzle
7. Mobile Puzzle 1
8. Mobile Puzzle 2
9. Mobile Puzzle 3
10. Mobile Puzzle 4
11. Radial Patterns
12. Radial Pattern
BIG IDEA 8: Generalizing
1. Generalizing Number Patterns
2. Number Mystery Line Plot
3. Generalizing Strategy
4. Reference
5. Pennies and Paperclips Game Board
6. Pennies and Paperclips Evidence
7. Generalizing Visual Patterns
8. 3 × 3 Toothpick Square
Appendix
1. Centimeter Grid Paper
2. Grid Paper
3. 1” Grid Paper
4. Isometric Dot Paper
5. Dot Paper
About the Authors
Acknowledgments
Index
End User License Agreement

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Library of Congress Cataloging‐in‐Publication Data

Names: Boaler, Jo, 1964– author. | Munson, Jen, 1977– author. | Williams, Cathy, 1962– author.
Title: Mindset mathematics : visualizing and investigating big ideas, grade 6 / Jo Boaler, Jen Munson, Cathy Williams.
Description: First edition. | San Francisco : Jossey‐Bass, [2019] | Includes index.
Identifiers: LCCN 2018040498 (print) | LCCN 2018049961 (ebook) | ISBN 9781119358770 (Adobe PDF) | ISBN 9781119358671 (ePub) | ISBN 9781119358831 (pbk.)
Subjects: LCSH: Games in mathematics education. | Mathematics–Study and teaching (Elementary)–Activity programs. | Sixth grade (Education)
Classification: LCC QA20.G35 (ebook) | LCC QA20.G35 B6296 2019 (print) | DDC 372.7/044–dc23
LC record available at https://lccn.loc.gov/2018040498

FIRST EDITION

GRADE 6

Mindset Mathematics

Visualizing and Investigating Big Ideas