Geometry is offered as an advanced math course for our eighth grade students who successfully completed Algebra 1.
In this course, students will study congruence, similarity, proofs, constructions, transformations, trigonometry, and circles. They will explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Geometry students establish triangle congruence criteria, based on analyses of rigid motions and formal constructions, prove theorems using a variety of formats and solve problems about triangles, quadrilaterals, and other polygons, and apply reasoning to complete geometric constructions and explain why they work. Students will identify criteria for similarity of triangles, use similarity to solve problems, and apply similarity in right triangles to understand right triangle trigonometry, with particular attention to special right triangles and the Pythagorean theorem. Students will also manipulate two-dimensional and three-dimensional objects in ways that include informal explanations of circumference, area and volume formulas.
Finally, the course requires proving basic theorems about circles.