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Lesson Plan: Interior and Exterior Angles of Triangles Mathematics • First Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to complete geometric proofs using the angle sum of a triangle and find interior and exterior angles of triangles.
Objectives
Students will be able to
- prove that the sum of the measures of the interior angles of a triangle is equal to ,
- use the angle sum of a triangle to prove other geometric results,
- understand that the exterior angle of a triangle is the supplementary angle to the adjacent interior angle,
- understand and prove that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles,
- find the measure of missing angles using the property of an exterior angle of a triangle being equal to the sum of the measures of the opposite interior angles,
- find the sum of the measures of the exterior angles of a triangle.
Prerequisites
Students should already be familiar with
- the concept of an exterior angle,
- the angle sum of a triangle,
- parallel lines and traversals.
Exclusions
Students will not cover
- radians.
