# Lesson Plan: Quadratic Equations: Coefficients and Roots Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to recognize the relationship between the coefficients of a quadratic equation and its roots.

#### Objectives

Students will be able to

• recognize the relationship between the roots of a quadratic equation and its coefficients,
• identify the sum and product of the roots using the formulae and , respectively, for a quadratic equation ,
• form a quadratic equation given its roots, including when the roots are integers, rational numbers, real numbers, and complex numbers, and solve related problems.

#### Prerequisites

Students should already be familiar with

• how to find the roots of quadratic equations, including the quadratic formula,
• complex roots of quadratic equations.

#### Exclusions

Students will not cover

• roots of higher-order functions,
• forming a quadratic equation given the roots of another quadratic equation,
• nonconjugate complex roots.