Lesson Plan: General Term in the Binomial Theorem | Nagwa Lesson Plan: General Term in the Binomial Theorem | Nagwa

# Lesson Plan: General Term in the Binomial Theorem Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find a specific term inside a binomial expansion and find the relation between two consecutive terms.

#### Objectives

Students will be able to

• recall the formula for a general term in a binomial expansion, ,
• use the formula for a general term in a binomial expansion, , to find a specific term (or its coefficient) for
• a given exponent ,
• the highest or lowest power of in the expansion,
• the middle term(s) in the expansion,
• a given position when terms are arranged by ascending or descending powers of ,
• a specified coefficient,
• two or more terms with the same coefficient as each other,
• understand the relationship between consecutive terms of a binomial expansion,
• use the relationship between consecutive terms in a binomial expansion (and their coefficients) to find
• the ratio between two terms,
• the largest or smallest term,
• find an unknown in a binomial when given information about one or more specific terms.

#### Prerequisites

Students should already be familiar with

• the binomial theorem,
• combinations and associated notation,
• simplifying factorials.

#### Exclusions

Students will not cover

• methods involving Pascal’s triangle.