Course Overview

Students practice conjectures, observations, and compass/straightedge constructions. They learn formal proof writing through a cycle of conjecture, drafting, peer feedback, and revision, supported by a reference chart of definitions and theorems.

Building on middle school transformations, students use transformation-based definitions of congruence and similarity to prove triangle congruence and similarity theorems. These are applied to quadrilaterals, isosceles triangles, and other figures. Similarity extends to right triangle trigonometry.

Students derive volume formulas and study dilation's effect on area and volume. Coordinate geometry connects algebra and geometry, reviewing prior theorems and skills. Transformations and the Pythagorean Theorem are used to build equations for circles, parabolas, parallel and perpendicular lines from definitions, linking transformations to functions.

Nearing the end, students analyze circle segment and angle relationships, developing radian measure. The course concludes by extending grade 7 probability to combined and independent events.

Geometry: Family Support Materials