MINDSET MATHEMATICS : visualizing and investigating big ideas, grade 6.

Description

Title Page Copyright Page 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 References Note on Materials Manipulatives and Materials Used in This Book Activities for Building Norms Encouraging Good Group Work Paper Folding: Learning to Reason, Convince, and Be Skeptical Paper Folding: Learning to Reason, Convince, and Be a Skeptic Big Idea 1 Taking Apart Prisms and Polygons How Big Is the Footprint? Reference Shards of a Shape Rising from the Footprint Big Idea 2 Folding and Unfolding Objects Folding Cubes in Your Mind Folding Nets in Your Mind Filling Our Nets Big Idea 3 Expanding the Number Line Reference Folding around Zero Bouncing around the Number Line Going 2‐D Big Idea 4 Finding and Using Unit Rates Seeing Unit Rates Seeing the Best Deal How Fast Do You Walk? Big Idea 5 Reasoning with Proportions Jump! Jump! Reference Seeing Animals in a New Way A Seat at the Table Big Idea 6 Visualizing the Center and Spread of Data The Shape of Data What Does Mean Mean? When Does Mean = Median =  Mode = Range? Big Idea 7 Using Symbols to Describe the World Cuisenaire Rod Equivalents Math Mobiles Reference Radial Patterns Big Idea 8 Generalizing Generalizing Number Patterns Generalizing Strategy Reference Generalizing Visual Patterns Appendix About the Authors Acknowledgments Index EULA