Lesson Plan: Solving Quadratics: Completing the Square Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve quadratics by completing the square.
Objectives
Students will be able to
- rewrite and solve a quadratic equation by completing the square and applying the square root property,
- rewrite and solve a quadratic equation by completing the square and use the sign of the constant to determine the number of solutions to the equation,
- solve real-world problems by completing the square of a given quadratic equation and determine the valid solutions by considering the physical restrictions.
Prerequisites
Students should already be familiar with
- completing the square,
- solving quadratics by taking square roots,
- graphing quadratic functions in standard form and vertex form,
- operations on polynomials.
Exclusions
Students will not cover
- the quadratic formula.
