Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Sequences
• Math: Precalculus: Series

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.2

## Expanding Binomials

#### Activity Overview

In this activity, students will explore the link between Pascal's Triangle and the expansion of binomials in the development of the Binomial Theorem.

#### Key Steps

• In this activity, students will explore Pascal’s Triangle and the Binomial Theorem. They will compare the numbers in the triangle to combinations.

• First, they will expand binomials to investigate the effect of b in the binomial (x + b)n and then see the effect of a in the binomial (ax + 1)n.

• They will then develop a pattern for both variables together in the binomial (ax + b)n in order to state the Binomial Theorem. There are extra problems on the worksheet for students to complete using the theorem.