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.