Education Technology

Circles on the Complex Plane

Published on 08/31/2015

Activity Overview

Students start with the familiar real number line and basic geometry to develop a deeper understanding of circle equations on the complex plane.

Objectives

Understand circle equations on the complex plane both algebraically and geometrically.

Vocabulary

Modulus, Argand Plane, Cartesian Plane

About the Lesson

The lesson starts in familiar territory, the real number line. What numbers are 3 units away from the number 2? From here this question translates to “What imaginary numbers are 3 units away from z = 2? The simple algebraic translation is followed by a geometric representation, sample questions and then finally a more challenging problem to solve.