Lesson Plan: Exponential Form of a Complex Number Mathematics • Third Year of Secondary School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to convert a complex number from the algebraic to the exponential form (Euler’s form) and vice versa.
Objectives
Students will be able to
- convert complex numbers between exponential and Cartesian (algebraic/rectangular) forms,
- convert complex numbers between exponential form and polar form,
- perform operations (addition, subtraction, multiplication, and division) on complex numbers in exponential form,
- use the properties of complex numbers in exponential form to solve problems.
Prerequisites
Students should already be familiar with
- Argand diagrams,
- Cartesian and polar forms of complex numbers,
- performing operations (addition, subtraction, multiplication, and division) on complex numbers in Cartesian and polar forms,
- the properties of complex numbers and complex conjugates,
- squaring complex numbers in algebraic form.
Exclusions
Students will not cover
- complex number calculations involving only algebraic and/or polar form,
- de Moivre’s theorem.
