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Overview | Who's Who | Credits | Video Index | Reading List | Support Materials
Session 1: What Is Geometry?
Part A: Quick Images
Part B: Building from Directions
Part C: Folding Paper
Constructions | Constructing Triangles | Concurrencies in Triangles | More Constructions
Part D: Basic Objects
Homework
Notes:
Part A Notes Part B Notes Part C Notes
Solutions:
Part A Solutions Part B Solutions Part C Solutions Part D Solutions Homework Solutions
Video
Session 2: Triangles and Quadrilaterals
Part A: Different Triangles
Drawing Triangles | Classifying Triangles
Part B: Linkage-Strip Constructions
Constructing Triangles | Constructing Quadrilaterals | Properties of Triangles
Part C: Building Towers
Part A Solutions Part B Solutions Part C Solutions Homework Solutions
Session 3: Polygons
Part A: Hidden Polygons
Identifying Polygons | Finding Polygons
Part B: Classifying Polygons
Properties of Polygons | Grouping Polygons | Polygon-Classification Game | More Venn Diagrams
Part C: Definitions and Proof
Definitions | Understanding Definitions | Dividing Polygons into Triangles | Triangles in Convex Polygons
Part A Notes Part B Notes Part C Notes Homework Notes
Session 4: Parallel Lines and Circles
Part A: Introduction to Geometer's Sketchpad
Drawing with Geometer's Sketchpad | Tutorial | Constructing with Geometer's Sketchpad
Part B: Parallel Lines
Properties of Angles | Reasoning About Properties of Angles
Part C: Circles
Inscribed Angles | More Circle Constructions
Part D: Thinking with Technology
Part B Notes Part C Notes
Session 5: Dissections and Proof
Part A: Tangrams
Exploring Tangrams | Moving Tangrams
Part B: Cutting Up
Part C: The Midline Theorem
The Midline Cut | Some Geometry Facts | Proving the Midline Theorem
Session 6: The Pythagorean Theorem
Part A: The Pythagorean Theorem
Calculating Area | Squares Around a Right Triangle | The Theorem
Part B: Proving the Pythagorean Theorem
What Is a Theorem? | Constructing a Proof | More Proofs
Part C: Applications of the Pythagorean Theorem
Finding Missing Lengths | The Distance Formula
Part B Notes
Session 7: Symmetry
Part A: Line Symmetry
Finding Lines of Symmetry | The Perpendicular Bisector
Part B: Rotation Symmetry
Determining Rotation Symmetry | Creating Rotation Symmetry
Part C: Translation Symmetry and Frieze Patterns
Translation Symmetry | Frieze Patterns | Classifying Frieze Patterns
Session 8: Similarity
Part A: Scale Drawings
Finding a "Good Copy" | Doubling the Coordinates | Distances and Angles
Part B: Similar Triangles
The Mirror Trick | Similarity Tests | Similar Triangles
Part C: Trigonometry
Right Triangle Ratios | Trigonometric Functions
Session 9: Solids
Part A: Platonic Solids
Building the Solids | Naming the Solids
Part B: Nets
Nets with Regular Polygons | Nets with Circles
Part C: Cross Sections
Slicing Solids | Polygon Shadows
Part A Solutions Part B Solutions Part C Solutions
Session 10: Classroom Case Studies
Grades K-2
Part A: Geometry as a Problem-Solving Process
Part B: Developing Geometric Reasoning
Part C: Activities That Illustrate Geometric Reasoning
Grades 3-5
Part C: Problems That Illustrate Geometric Reasoning
Grades 6-8
Part A: Geometry and Reasoning
Learning Math Home | Geometry Home
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