Lesson Plan: Completing the Square Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to complete the square to factor quadratic expressions.
Objectives
Students will be able to
- rewrite monic quadratics by completing the square,
- rewrite nonmonic quadratics by completing the square,
- verify that a rewrite using completing the square is correct by expanding and simplifying,
- find unknown coefficients by using a given identity from completing the square.
Prerequisites
Students should already be familiar with
- factoring perfect square trinomials,
- factoring quadratics,
- operations on polynomials.
Exclusions
Students will not cover
- solving equations,
- graphing quadratics and the vertex form.