Table of Contents
- 1. Basics of Geometry
Review the basics of geometry including angles, lines, shapes and solids.
- 2. Rigid Transformations
Explore transformations by hand and with dynamic geometry software.
- 3. Congruence
Use rigid transformations to derive five criteria for triangle congruence. Solve problems using congruent triangles.
- 4. Reasoning and Proof
Write proofs of theorems about lines, angles, triangles, and quadrilaterals in the paragraph format, two-column format, and flow diagram format.
- 5. Constructions
Create formal geometric constructions by hand and with dynamic geometry software.
- 6. Similarity
Consider dilations and similar figures. Prove theorems involving similarity and explore special right triangles.
- 7. Trigonometry
Use similar triangles to understand the trigonometric ratios. Use trigonometric ratios to solve problems involving both right and non-right triangles.
- 8. Circles
Derive the formulas for area and circumference of circles. Investigate the angles, shapes, and lines that are related to circles.
- 9. Three Dimensions
Derive volume formulas using Cavalieri's principle. Explore modeling, density, and design problems.
- 10. Conics and Coordinate Geometry
Explore conic sections. Connect algebra and geometry with coordinate proofs.
- 11. Applications of Probability
Calculate probabilities of events, unions, and intersections. Use probability to analyze games and decisions.
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