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| Paper Folding | |
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| Warm Up Activities | |
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| Introduction | |
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| Folding Polygons from a Circle | |
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| Making Squares | |
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| Two Congruent Halves | |
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| Dissecting Figures | |
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| Polygons and the Angle Relationships | |
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| Introduction | |
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| Parallel Line Grid - Triangle Angle Sum | |
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| Envelope Fold - Triangle Angle Sum | |
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| Triangle and Quadrilateral Angle Sums by Tearing | |
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| Polygon Angle Sums: How many Triangles? | |
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| The Angles of a Polygon | |
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| When Does Erika's Idea Work? | |
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| The Greedy Triangle | |
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| Problems: Angle Sums and Angle Relationships | |
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| Four Kinds of Related Angles | |
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| Figuring Angles and Checking by Measurement | |
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| Parallel Lines: How to Recognize Them | |
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| Measuring Sides and Angles of Triangles | |
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| Convex: Different Ways to Make Sense of It | |
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| Angle Problems - Version A | |
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| Angle Problems - Version B | |
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| Angle Probems - More | |
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| How Do I Know if I Understand? | |
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| Conjecturing ABout Quadrilaterals | |
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| Possible or Not? | |
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| True or False (with Example) | |
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| Under What Conditions? | |
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| Quadrilaterals and Their Definitions | |
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| Introduction | |
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| Checking Properties of Quadrilaterals | |
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| Properties of Quadrilaterals | |
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| Marking Quadrilateral Properties | |
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| Properties of Diagonals of Quadrilaterals | |
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| Checking Quadrilaterals by Folding | |
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| Read Carefully: Every Word Counts! | |
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| Checking Examples Visually or Physically | |
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| Exploring Medial Quadrilaterals | |
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| Problems: Properties of Quadrilaterals, Version A | |
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| Problems: Properties of Quadrilaterals, Version B | |
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| More Problems: Properties of Quadrilaterals | |
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| A Deeper Understanding of Definitions | |
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| Special Cases of Quadrilaterals | |
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| Definitions: Inclusive or Exclusive | |
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| Problems: Inclusive and Exclusive Definitions | |
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| What Is a Kite? Equivalent Definitions | |
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| Problems: Definitions of Quadrilaterals, Version A | |
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| Problems: Definitions of Quadrilaterals, Version B | |
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| More Problems: Definitions of Quadrilaterals | |
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| How Do I Know if I Understand? Prologue: Four Contexts for Geometric Constructions Prologue to Chapters 3, 10, 12, and 14 | |
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| Constructions by Paper Folding | |
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| Introduction | |
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| Introducing CDs: Two Basic Constructions | |
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| CD Problem: A Parallel Line | |
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| CD Problem: The Median | |
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| CD Problem: An Equilateral Triangle | |
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| CD Problem: A Square | |
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| Circumscribing Circle | |
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| Inscribed Circle | |
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| Balance Point of a Triangle | |
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| Additional CD Problems Using Basic Construction Steps | |
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| Group Problem: Inscribed Circles | |
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| Folding a Six-Pointed Star or a "Snowflake" | |
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| Problems Involving Paper Folding | |
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| How Do I Know if I Understand? | |
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| Explorations in Three-dimensional Geometry | |
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| Introduction | |
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| Polyhedra (Solids) from an Envelope | |
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| Roll-and-Fold Prism and Pyramid Activities | |
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| Net Project A: Prisms | |
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| Prisms | |
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| Makiing Sense of Volume: A Basic Relationship | |
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| Net Project B: Pyramids | |
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| Pyramids | |
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| Edges, Faces, and Vertices of Polyhedra | |
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| Special Kinds of Polyhedra | |
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| Riddles with Solids | |
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| Volumes Prisms, Pyramids, and Spheres | |
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| Volume of a Pyramid | |
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| What Does Volume Really Mean? | |
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| Volume of Solids: First Try | |
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| Solid-Geometry Problems, Version A | |
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| Solid-Geometry Problems, Version B | |
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| More Solid-Geometry Problems Addendum: Unit Origami: An Introduction | |
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| Instructions for the Basic Parallelogram Unit | |
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| Project for the Whole Class: Monster Stellated Icosahedron | |
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| Uni | |