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# Here is another basic FOIL method polynomial multiplication lesson

Subject:

Math

Grades:

9, 10, 11, 12

Title – Polynomials

By – Robby Parker

Primary Subject – Math

Grade Level – 9-12

By – Robby Parker

Primary Subject – Math

Grade Level – 9-12

Concept / Topic To Teach:

- Algebra

Standards Addressed:

- Polynomials

General Goal(s):

- Find product of any two polynomials

Specific Objectives:

- Find the product of two monomials and two binomials.

Required Materials:

- Textbook, notebook, calculator (graphing)

Anticipatory Set (Lead-In):

- Talk about how to find area of a rectangle. Build off that. (L x W = Area)

Step-By-Step Procedures:

- Take a small patio (4 ft by 6 ft).
- We will expand it (proportionally in both directions) by x.
- The new area is found by first adding x to the 4 and to the 6 so that you have your new dimensions as W = (x + 4) L = (x + 6).
- (x + 6)(x + 4) = Area
- You know how to multiply a monomial times a binomial, but how do we multiply two binomials?
- To multiply two binomials, you could first break it down into two products of a monomial and binomial as such: Area = (
**x**+**6**)(x + 4) =**x**(x + 4) +**6**(x + 4) - The new parts of the expanded patio will be x
^{ 2 }, 4x, 6x, and 24. - When we combine like terms we get x
^{ 2 }+ 10x +24 and the new area of the expanded patio. - An easier method to multiply two binomials is the
**FOIL**method. (The results are the same, but you don’t have to write down step 5.) - Just remember to multiply the first terms, then the outside terms, next the inside term and finally the last terms. Then combine the like terms.
( **F**irst –**O**utside –**I**nside –**L**ast)

Plan For Independent Practice:

- Work examples on the board then give some problems in the textbook.

Closure (Reflect Anticipatory Set):

- We use these methods a lot.

Assessment Based On Objectives:

- Board Quiz

Possible Connections To Other Subjects:

- Used in critical thinking.

E-Mail Robby Parker !