Education Technology

Expanding Binomials

Published on 10/17/2012

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

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

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    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.

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    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.