MA19.PRE.5

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.5

Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

Unpacked Content

Knowledge

Students know:
  • Complex numbers can be represented geometrically.
  • Complex numbers can be added and subtracted either geometrically or algebraically.

Skills

Students are able to:
  • Add and subtract complex numbers.
  • Find the modulus of a complex number.
  • Represent complex numbers geometrically.

Understanding

Students understand that:
  • Representing complex numbers on a rectangular coordinate system allows the use of techniques developed for real numbers to find distances and midpoints.

Vocabulary

  • Complex plane
  • Distance
  • Modulus
  • Midpoint

COS Examples

Example: $(-1 + \sqrt{3i})^3 = 8$ because $(-1 + \sqrt{3i})$ has modulus 2 and argument $120^{\circ}$.

ALSDE LOGO

This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Alabama Learning Exchange © 2002-2023 by Alabama State Department of Education is licensed under Attribution-NonCommercial-ShareAlike 4.0 International

Design by Adaptive Theme