# Lesson Plan: Multiplying a Binomial by an Algebraic Expression Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to multiply a binomial by a polynomial of order three and similar algebraic expressions.

#### Objectives

Students will be able to

- multiply a binomial by a trinomial,
- multiply three binomials,
- solve problems involving binomial exponents, such as
- multiplying a binomial by the square of another binomial,
- finding the cube of a binomial,

- find unknowns in algebraic expressions by multiplying binomials and algebraic expressions,
- solve geometric problems by multiplying binomials and algebraic expressions.

#### Prerequisites

Students should already be familiar with

- multiplying monomials,
- multiplying monomials by algebraic expressions,
- multiterm, high-order algebraic expressions,
- multiplying two binomials,
- squaring binomials,
- the distributive property of multiplication,
- writing and evaluating algebraic expressions.

#### Exclusions

Students will not cover

- dividing algebraic expressions by monomials,
- multiplying two trinomials or expressions with more than three terms,
- binomials of degrees greater than 1,
- polynomials of degree 5 or higher.