Teacher resources and professional development across the curriculum

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Learning Math Home
geometry Analysis, Statistics, and Probability
 
Glossary
Site Map

Site Map for This Course

Geometry home page

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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes
Homework Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Part D Solutions
Homework Solutions

Video



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

Homework

Notes:

Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part B Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions
Homework Solutions

Video



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

Homework

Notes:

Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions

Video



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

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions

Video


Grades 3-5

Part A: Geometry as a Problem-Solving Process

Part B: Developing Geometric Reasoning

Part C: Problems That Illustrate Geometric Reasoning

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions

Video


Grades 6-8

Part A: Geometry and Reasoning

Part B: Developing Geometric Reasoning

Part C: Problems That Illustrate Geometric Reasoning

Homework

Notes:

Part A Notes
Part B Notes
Part C Notes

Solutions:

Part A Solutions
Part B Solutions
Part C Solutions

Video



 
 

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