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Lesson Plan: Introduction to Inequalities in Triangles Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to define the concept of inequality in general and the axioms of inequality and compare between the measures of angles given in a triangle.
Objectives
Students will be able to
- form inequalities for the angles and sides in a triangle,
- understand and use the axioms of inequality which state that
- if , then ,
- if , then ,
- if and , then ,
- if and , then ,
- if and , then ,
- use the axioms of inequalities to solve problems about triangles.
Prerequisites
Students should already be familiar with
- algebraic inequalities,
- the angle sum of a triangle,
- isosceles triangles.
Exclusions
Students will not cover
- the triangle inequality.
