Lesson Plan: Deductive Proof for Geometric Properties Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to prove certain geometric properties using deductive proof.
Objectives
Students will be able to
- prove that two vertically opposite angles are equal in measure,
- prove that the sum of all the angles around a point is ,
- prove other geometric properties using
- vertically opposite angles,
- angles around a point,
- parallel lines and traversals,
- angles in a triangle,
- congruent triangles.
Prerequisites
Students should already be familiar with
- angles on a straight line summing to ,
- properties of rectangles and squares,
- finding missing angles using parallel lines and transversals,
- finding missing angles using vertically opposite angles and angles around a point,
- finding missing angles in triangles,
- congruent and similar triangles,
- the angle sum of a triangle.
Exclusions
Students will not cover
- radians,
- the proof of the angle sum of a triangle,
- exterior angles of a triangle.
