# Lesson Plan: Quadratic Functions in Different Forms Mathematics • 9th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to evaluate and write a quadratic function in different forms.

#### Objectives

Students will be able to

• understand the vertex form of a quadratic equation and how to use this form to find the features of the graph of a quadratic function, including the intercepts, extrema, vertex, axis of symmetry, range, and domain,
• use the vertex form of a quadratic function to consider the number of solutions a quadratic function will have graphically,
• convert between the different forms of a quadratic function to find its key features,
• understand the features of the graph of a quadratic function in factored form, including repeated roots,
• find unknown values in a quadratic function equation using any of its features and points on its curve,
• identify the possible equation of a function in any form from its graph.

#### Prerequisites

Students should already be familiar with

• completing the square,
• the standard form of a quadratic function,