Lesson: The Binomial Theorem Mathematics

In this lesson, we will learn how to expand any binomial expression of the form (a+b)^n.

Lesson Plan

Objectives

Students will be able to

  • state the binomial theorem using sigma notation and combination notation (and/or factorials),
  • apply the binomial theorem to expand a binomial of any 𝑛th power,
  • express a simple expanded binomial as its factorized counterpart,
  • manipulate or evaluate expressions and equations involving binomials and combinations (and/or factorials),
  • find an approximate value for any 𝑛th power of a numerical value using the binomial theorem.

Prerequisites

Students should already be familiar with

  • combinations and associated notation,
  • factorials.

Exclusions

Students will not cover

  • methods involving Pascal’s triangle,
  • use of the formula for a general term in a binomial expansion,
  • finding a specific term in a binomial expansion (a term with a specified position, power of 𝑥, etc.)

Lesson Video

Video Thumbnail
17:52

Lesson Explainer

Sample Question Videos

  • 04:10
  • 02:33
  • 03:18

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