Lesson Plan: Polar Form of Complex Numbers Mathematics
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.
