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Title - Polynomials
By - Robby Parker
Primary Subject - Math
Grade Level - 9-12
Concept / Topic To Teach:
Standards Addressed:
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 x2 + 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.
(First - Outside - Inside - Last)
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:
Possible Connections To Other Subjects: Used in critical thinking. E-Mail Robby Parker!
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