Lesson Plan: The Binomial Theorem Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to expand any binomial expression of the form (π‘Ž+𝑏)^𝑛.


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.


Students should already be familiar with

  • combinations and associated notation,
  • factorials.


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 π‘₯, etc.)

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