Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Applications of Trigonometry

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

#### 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

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.