Table of Contents

1. Cover
2. 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
3. Note on Materials
   1. Manipulatives and Materials Used in This Book
4. 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
5. 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
6. 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
7. 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
8. 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?
9. 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
10. 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
11. 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
12. 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
13. Appendix
    1. Centimeter Grid Paper
    2. Grid Paper
    3. 1” Grid Paper
    4. Isometric Dot Paper
    5. Dot Paper
14. About the Authors
15. Acknowledgments
16. Index
17. End User License Agreement

Guide

1. Cover
2. Table of Contents
3. Begin Reading