Lesson: Argand Diagram

Mathematics

In this lesson, we will learn how to identify complex numbers plotted on an Argand diagram and discover their geometric properties.

Plan

Objectives

Students will be able to

  • identify complex numbers plotted on an Argand diagram,
  • represent complex numbers (𝑥+𝑖𝑦) on an Argand diagram,
  • find the midpoint of two complex numbers on an Argand diagram,
  • interpret addition, multiplication by a real number and by 𝑖, and conjugation of complex numbers geometrically.

Prerequisites

Students should already be familiar with

  • complex numbers in Cartesian form,
  • adding complex numbers,
  • multiplying complex numbers by a real number and 𝑖,
  • conjugates of complex numbers,
  • adding vectors.

Exclusions

Students will not cover

  • complex numbers written in polar and exponential forms,
  • modulus and argument of complex numbers.

Video

13:08

Explainer

Sample Question Videos

  • 06:56
  • 02:28
  • 02:00

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