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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

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:

  1. Take a small patio (4 ft by 6 ft).
  2. We will expand it (proportionally in both directions) by x.
  3. 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).
  4. (x + 6)(x + 4) = Area
  5. You know how to multiply a monomial times a binomial, but how do we multiply two binomials?
  6. 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)
  7. The new parts of the expanded patio will be x 2 , 4x, 6x, and 24.
  8. When we combine like terms we get x 2 + 10x +24 and the new area of the expanded patio.
  9. 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.)
  10. 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.

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