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Lesson Plan: De Moivre’s Theorem Mathematics • Third Year of Secondary School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find powers and roots of complex numbers and how to use de Moivre’s theorem to simplify calculations of powers and roots.
Objectives
Students will be able to
- recall and state de Moivre’s theorem,
- understand the proof for de Moivre’s theorem,
- use de Moivre’s theorem to find powers of complex numbers,
- use de Moivre’s theorem to find roots of complex numbers,
- use de Moivre’s theorem to find the modulus and argument of the powers and roots of complex numbers.
Prerequisites
Students should already be familiar with
- complex numbers in cartesian, trigonometric, and exponential forms,
- converting between the different forms of complex numbers,
- performing operations on complex numbers.
Exclusions
Students will not cover
- de Moivre’s theorem for trigonometric identities,
- finding the powers and roots of a complex number using algebraic methods,
- finding the roots of unity.
