Table of Contents
Basics of Geometry
Review the basics of geometry including angles, lines, shapes and solids.
Explore transformations by hand and with dynamic geometry software.
Use rigid transformations to derive five criteria for triangle congruence. Solve problems using congruent triangles.
Reasoning and Proof
Write proofs of theorems about lines, angles, triangles, and quadrilaterals in the paragraph format, two-column format, and flow diagram format.
Create formal geometric constructions by hand and with dynamic geometry software.
Consider dilations and similar figures. Prove theorems involving similarity and explore special right triangles.
Use similar triangles to understand the trigonometric ratios. Use trigonometric ratios to solve problems involving both right and non-right triangles.
Derive the formulas for area and circumference of circles. Investigate the angles, shapes, and lines that are related to circles.
Derive volume formulas using Cavalieri's principle. Explore modeling, density, and design problems.
Conics and Coordinate Geometry
Explore conic sections. Connect algebra and geometry with coordinate proofs.
Applications of Probability
Calculate probabilities of events, unions, and intersections. Use probability to analyze games and decisions.
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August 17, 2015