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.

Lesson Plan

Students will be able to

identify complex numbers plotted on an Argand diagram,
represent complex numbers on an Argand diagram,
find the midpoint of two complex numbers on an Argand diagram,
interpret addition, multiplication by a real number and by , and conjugation of complex numbers geometrically.

Q1:

Find the value of given on the Argand diagram below.

Q2:

What complex number lies at the midpoint of and on the given complex plane?

Q3:

Describe the geometric transformation that maps every complex number to its conjugate in the complex plane.