Lesson Plan: The Argument of a Complex Number | Nagwa Lesson Plan: The Argument of a Complex Number | Nagwa

Lesson Plan: The Argument of a Complex Number Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify the argument of a complex number and how to calculate it.

Objectives

Students will be able to

  • understand that the argument of a complex number, 𝑧, is the angle that the line from the origin to 𝑧 makes with the positive real axis,
  • understand that the argument of a complex number is measured in a counterclockwise direction,
  • understand that the principle argument is usually given in radians in the range 𝜋<(𝑧)𝜋arg,
  • find the argument of a complex number in any of the 4 quadrants using formulas involving arctan,
  • understand how to use the properties of the argument of a complex number (or its conjugate) to solve problems.

Prerequisites

Students should already be familiar with

  • complex numbers in Cartesian form,
  • the conjugate of a complex number,
  • operations on complex numbers in Algebraic (rectangular or Cartesian) form,
  • Argand diagrams.

Exclusions

Students will not cover

  • complex numbers in exponential form,
  • complex numbers in polar form.

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