Lesson Plan: The Greatest Common Factor of Monomials | Nagwa Lesson Plan: The Greatest Common Factor of Monomials | Nagwa

# Lesson Plan: The Greatest Common Factor of Monomials Mathematics • 7th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the greatest common divisor (factor) of two or more monomials.

#### Objectives

Students will be able to

• find the greatest common factor of a given list of monomials and understand how to find the greatest common factor in general,
• use the greatest common factor of the terms of a polynomial to completely factor the polynomial,
• use a given greatest common factor of a given list of monomials or the terms of a polynomial to find unknown values,
• factor a polynomial completely in a real-world scenario and use the factored form to solve a problem.

#### Prerequisites

Students should already be familiar with

• monomials and polynomials,
• laws of exponents,
• the distributive property and multiplying polynomials.

#### Exclusions

Students will not cover

• factoring by grouping,
• factoring terms that are not monomials,
• factoring “special” quadratics (e.g., the perfect square quadratics and the difference of two squares).