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Lesson: Argand Diagram Mathematics • 12th Grade

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.

Lesson Presentation

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Lesson Video

Lesson Explainer

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Lesson Playlist

06:56
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Lesson Worksheet

Q1:

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

Q2:

Seven complex numbers , , , , , , and are represented on the Argand diagram.

Which of the complex numbers is ?

What complex number is represented by ?

Which complex number has equal real and imaginary parts?

Which two complex numbers are a conjugate pair? What is their geometric relationship?

Q3:

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

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