# Lesson Plan: Conversion between Parametric and Rectangular Equations Mathematics • 12th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to convert from the parametric form of an equation to its equivalent rectangular form, and vice versa.

#### Objectives

Students will be able to

• convert a given pair of parametric equations into rectangular form by elimination without domain restriction,
• convert a given pair of parametric equations into rectangular form by elimination while considering the domain,
• convert a given pair of parametric equations into rectangular form by applying an identity,
• convert a rectangular equation into parametric form by using a given expression for a parameter,
• convert a given pair of parametric equations into rectangular form and then sketch its graph.

#### Prerequisites

Students should already be familiar with

• parametric equations,
• trigonometric identities,
• graphs of standard curves.

#### Exclusions

Students will not cover

• slopes, tangents, and so on.