Lesson Plan: Discriminants of Quadratics Mathematics • 9th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the discriminant of a quadratic equation and use it to determine the number and type of its roots (solution) without solving it.

Objectives

Students will be able to

  • recall the equation for the discriminant of a quadratic equation,
  • use the discriminant to identify the number of real roots a quadratic equation has,
  • use the discriminant to determine whether a quadratic equation has rational roots,
  • use the discriminant to evaluate unknowns that satisfy certain conditions related to the types of roots.

Prerequisites

Students should already be familiar with

  • solving quadratic equations using the quadratic formula.

Exclusions

Students will not cover

  • solving quadratic equations with complex roots.

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