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.

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