# Lesson Plan: Polar Form of Complex Numbers Mathematics • 12th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to represent a complex number in polar form, calculate the modulus and argument, and use this to change the form of a complex number.

#### Objectives

Students will be able to

• write a complex number represented on an Argand diagram in polar form,
• write a complex number in polar form given its modulus and argument,
• calculate the modulus and argument of a complex number written in Cartesian form,
• write a complex number in Cartesian form given its modulus and argument,
• find the modulus and argument of a complex number represented in polar form,
• change between Cartesian and polar forms of a complex number,
• write the conjugate of the complex number in polar form.

#### Prerequisites

Students should already be familiar with

• complex numbers written in Cartesian form,
• Argand diagrams,
• conjugates of complex numbers and their properties.

#### Exclusions

Students will not cover

• complex numbers written in exponential form,
• performing operations on complex numbers in polar form,
• de Moivre's theorem.