# ALEX Lesson Plan

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This lesson provided by:
 Author: Lorie White System: Lauderdale County School: Rogers High School
General Lesson Information
 Lesson Plan ID: 35699 Title: Binomial Expansion -Shortcut Please Overview/Annotation: This lesson is an introduction to Binomial Expansion and the Binomial Theorem. Students begin by expanding binomials using multiplication. They will examine the expansions looking for patterns. These patterns will be used to develop the Binomial Theorem. Both Pascal's Triangle and Combinations will be used to complete the Binomial Expansion.This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Precalculus 13 ) (+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined, for example, by Pascal's Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.) [A-APR5]

Local/National Standards:

Primary Learning Objective(s):

Students will expand binomials using multiplication.

Students will examine and develop patterns for binomial expansion.

Students will use Pascal's Triangle to find the coefficients in a binomial expansion.

Students will use combinations in conjunction with the Binomial Theorem to expand a binomial.