Lesson Plan: Inequality in One Triangle: Angle Comparison | Nagwa Lesson Plan: Inequality in One Triangle: Angle Comparison | Nagwa

Lesson Plan: Inequality in One Triangle: Angle Comparison Mathematics • Second Year of Preparatory School

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to form inequalities involving the measures of angles in a triangle given the lengths of the sides of the triangle.

Objectives

Students will be able to

  • form inequalities involving the measures of angles in a triangle given some of the angles in the triangle,
  • understand that in a triangle, when two sides have unequal length, the angle opposite the longer side is larger than the angle opposite the shorter side,
  • form inequalities involving the measures of angles in triangles by comparing the lengths of the sides opposite to each angle,
  • prove given inequalities about measures of angles in triangles using opposite sides and axioms of inequalities.

Prerequisites

Students should already be familiar with

  • axioms of inequalities,
  • exterior angles of a triangle,
  • parallel lines and traversals,
  • the sum of angles in a triangle,
  • isosceles triangles.

Exclusions

Students will not cover

  • the triangle inequality,
  • comparing the lengths of the sides of a triangle.

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