Lesson Plan: Modulus of a Complex Number | Nagwa Lesson Plan: Modulus of a Complex Number | Nagwa

Lesson Plan: Modulus of a Complex Number Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the general formula for calculating the modulus of a complex number.

Objectives

Students will be able to

  • understand that the modulus of a complex number is equal to the square root of the sum of the squares of the real and imaginary parts of the number,
  • find the modulus of a complex number in Cartesian form,
  • understand that the modulus of a complex number is the distance of the complex number from the origin in a complex plane,
  • understand that the modulus of the complex conjugate is equal to the modulus of its complex number,
  • use the properties of the modulus of complex numbers to solve problems.

Prerequisites

Students should already be familiar with

  • the Pythagorean theorem,
  • complex numbers in Cartesian form,
  • operations on complex numbers in Cartesian form,
  • Argand diagrams,
  • complex conjugates and their properties.

Exclusions

Students will not cover

  • complex numbers in exponential or polar form.

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