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Cover -- Title Page -- Copyright -- Contents -- Introduction -- Low-Floor, High-Ceiling Tasks -- Youcubed Summer Camp -- Memorization versus Conceptual Engagement -- Mathematical Thinking, Reasoning, and Convincing -- Big Ideas -- Structure of the Book -- Note on Materials -- Manipulatives and Materials Used in This Book -- Activities for Building Norms -- Encouraging Good Group Work -- How Many Do You See? Learning to Reason, Convince, and Pose Questions -- Big Idea 1 Building with and Talking about Shapes -- Visualize: Build(ings) -- Play: Tangram Puzzles -- Investigate: Tangram Squares. Big Idea 2 Tens and Ones Are Useful Ways to Organize -- Visualize: Organizing and Counting a Collection -- Play: How Many Dots? -- Investigate: Boxes of Pencils -- Big Idea 3 Representing and Modeling Joining and Separating Situations -- Visualize: Showing the Story -- Play: Playing with Problem Types -- Investigate: Library Wonders -- Big Idea 4 Using Data to Describe and Wonder about Our World -- Visualize: Organizing the Natural World -- Play: Displaying Data -- Investigate: Our Trash, Ourselves -- Big Idea 5 Equal Means the Same -- Visualize: Hungry, Hungry Monsters! -- Play: True or False? Investigate: Exploring Relations -- Big Idea 6 Building with Numbers within 20 -- Visualize: Seeing Spots -- Play: Rolling Ten -- Investigate: Addition Table Patterns -- Big Idea 7 Finding Patterns in Numbers -- Visualize: Patterns in the Hundred Chart -- Play: Skipping across the Hundred Chart -- Investigate: Weaving Patterns -- Big Idea 8 Using Place Value to Add and Subtract -- Visualize: Recess! -- Play: Playing with Place Value across Problem Types -- Investigate: Making a Dollar -- Big Idea 9 Using Units to Measure Our World -- Visualize: Which One Is Longer? Play: Measuring Our World in Cubes -- Investigate: Measuring with Cuisenaire Rods -- Big Idea 10 Partitioning Shapes into Equal Parts -- Visualize: Half and Half-of-a-Half -- Play: Analyzing Tangrams -- Investigate: What's in a Flag? -- Appendix -- 1"Grid Paper -- Hundred Chart -- Grid Paper -- About the Authors -- Acknowledgments -- Index -- EULA