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mr. amato's class presentation

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  • 1. THE FOIL METHOD
    • ALGEBRA I
    • DECEMBER 18, 2008
    • A NEW AND EXCITING WAY TO MULTIPLY BINOMIALS
    • INSTRUCTOR – TONY AMATO
    • CA. CONTENT STANDARD 10
  • 2. Students add, subtract, multiply, and divide monomials and polynomials. Students solve multi-step problems, including word problems, by using these techniques CALIFORNIA CONTENT STANDARD – 10
  • 3. Objective The student will be able to: multiply two polynomials using the FOIL method.
  • 4. 1) Multiply. (2x + 3)(5x + 8)
    • Using the distributive property, multiply 2x (5x + 8) + 3 (5x + 8).
    • 10x 2 + 16x + 15x + 24
    • Combine like terms.
    • 10x 2 + 31x + 24
    • A shortcut of the distributive property is called the FOIL method.
  • 5. The FOIL method is only used when you multiply 2 binomials. It tells you which terms to multiply. 2) Use the FOIL method to multiply the following binomials: (x + 3)(x + 7).
  • 6. (x + 3)(x + 7). F tells you to multiply the FIRST terms of each binomial.
    • x 2
  • 7. (x + 3)(x + 7). O tells you to multiply the OUTER terms of each binomial.
    • x 2 + 7x
  • 8. (x + 3)(x + 7). I tells you to multiply the INNER terms of each binomial. x 2 + 7x + 3x
  • 9. (x + 3)(x + 7). L tells you to multiply the LAST terms of each binomial.
    • x 2 + 7x + 3x + 21
    • Combine like terms.
    • x 2 + 10x + 21
  • 10. Remember, FOIL reminds you to multiply the:
    • F irst terms
    • O uter terms
    • I nner terms
    • L ast terms
  • 11. 3) Multiply. (x + 5)(x + 4)
    • First terms: x 2
    • Outer terms: + 4x
    • Inner terms: +5x
    • Last terms: +20
    • Combine like terms.
    • x 2 + 9x + 20
  • 12. 3) Multiply. (3x - 5)(5x + 2)
    • First terms: 15x 2
    • Outer terms: + 6x
    • Inner terms: -25x
    • Last terms: -10
    • Combine like terms.
    • 15x 2 - 19x - 10
  • 13. 4) Multiply (7p - 2)(3p - 4)
    • First terms: 21p 2
    • Outer terms: - 28p
    • Inner terms: - 6p
    • Last terms: + 8
    • Combine like terms.
    • 21p 2 - 34p + 8
  • 14. 4) Multiply (5x - 2)(5x + 2)
    • First terms: 25x 2
    • Outer terms: 10x
    • Inner terms: - 10x
    • Last terms: - 4
    • Combine like terms.
    • 25x 2 + 0x – 4, now simplify
    • 25x 2 – 4
  • 15. ASSESSMENT TIME
    • NOW THAT WE DID FOUR EXERCISES, DID ANYBODY GET THEM ALL CORRECT?
    • HOW MANY WOULD LIKE TO REVIEW THE ENTIRE CONCEPT OF FOIL?
    • WHO NEEDS FURTHER REVIEW OF MULTIPLYING VARIABLES AND COEFFICIENTS?
    • WHO WOULD LIKE TO SEE MORE EXAMPLES OF FOIL?