Activity Overview
This lesson involves the addition of two complex numbers.
Objectives
- Students will compute the sum of two complex numbers.
- Students will visualize and geometrically describe the sum of two complex numbers.
- Students will compute the absolute value and use trigonometry to find the argument of complex numbers.
- Students will compare the absolute values and arguments of two complex numbers to the absolute value and argument of their sum.
Vocabulary
- complex number
- position vector
- absolute value or magnitude of a complex number
- argument of a complex number
About the Lesson
This lesson involves the addition of two complex numbers.
As a result, students will:
- Compute the sum of specific complex numbers, make a general statement to describe this sum, and characterize the sum geometrically.
- Compute the absolute value and argument of complex numbers.
- Investigate and analyze the sum of two complex numbers with point representations that lie on the same line.