Lesson Plan #:AELP-ALG0002 **Submitted by:** Gus Sorbo

**Endorsed by:** Dr. Don E. Descy

**School/University/Affiliation:** Mankato State University **Date:** June 3, 1997

**Grade Level(s):**8, 9, 10

** Subject(s):**

- Mathematics/Algebra

**Description:** The FOIL method is an easy way to remember how to multiply binomials.

** Objectives:** Given two binomials, students will be able to multiply the correct terms of the binomial together and be able to combine the two binomials into a single polynomial.

**Prerequisties:** Previous knowledge of multiplying variables and coefficients is assumed.

** Concepts:** The word FOIL is simply an acronym for the method of multiplying

binomials. It stands for:

F irst (multiply the first term of each binomial together)

O uter (multiply the two outside terms together)

I nner (multiply the two inside terms together)

L ast (multiply the last term of each binomial together)

For instance, let’s look at (x^{ 2} +3)(x-2)

F irst (x^{ 2} )(x)=x^{ 3}

O uter (x^{ 2} )(-2)=-2x^{ 2}

I nner (3)(x)=3x

L ast (3)(-2)=-6

Now that we have all the terms, we can add them together in descending

order of the power of the variable. Then we get:

(x^{ 2} +3)(x-2)=x^{ 3} -2x^{ 2} +3x-6

There, we have multiplied the two binomials into a polynomial. Using the

FOIL method, students will be more likely to remember how to multiply

binomials, and as a result, show a better understanding of the subject.

Happy FOILing!

**Assessment:** In their math journals, have students explain the directions to the FOIL method.