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Foil Method

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A quick overview of the FOIL Method for 6th-8th graders in middle school algebra. This reviews the distribution property as well gives future applications. Step-by-step instructions are given to solve …

A quick overview of the FOIL Method for 6th-8th graders in middle school algebra. This reviews the distribution property as well gives future applications. Step-by-step instructions are given to solve an example problem given. Finally, shows three sample homework problems for students to try.

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  • 1. FOIL Method
    A system that will follow you through high school and beyond
    Created by Justin Wigard
    Slideshare.net/wigar1jm
  • 2. Review: Distribution Property
    Apply yesterday’s Distribution Property to single terms.
    (Variable should come first in parentheses).
    Ex: 7(2x+4)
    7*2x + 7*4
    14x+28
    What if there are two terms…?
  • 3. FOIL Method
    F-First term in each set multiplied together
    O-Outer term in each set multiplied together
    I-Inner term in each set multiplied together
    L-Last term in each set multiplied together
    Combine like terms and simplify
    CONFUSED???
  • 4. FOIL Method-Broken Down
    Given the function: (a+b)(c+d)
    The terms a and c are first.
    The terms a and d are outer.
    The terms b and c are inner.
    The terms b and d are last.
    Thus: ac+ad+bc+bd
    http://www.dummies.com/how-to/content/applying-the-foil-method-to-binomials.html
  • 5. Ex: (2x-3)(3x+5)
    F-First terms multiply together
    (2x-3)(3x+5)
    Applying FOIL Method-First
    This will be included in your final answer.
    F
    F
    6x2
    2x*3x=
    Current Answer
    6x2+___+___+___
    Multiply First Terms
  • 6. Applying FOIL Method-Outer
    Ex: (2x-3)(3x+5)
    O-Outside terms multiply together
    (2x-3)(3x+5)
    2x*5=
    This will be included in your final answer.
    O
    O
    10x
    Current Answer
    6x2+10x+___+___
    Multiply Outer Terms
  • 7. Applying FOIL Method-Inside
    Ex: (2x-3)(3x+5)
    I-Inside terms multiply together
    (2x-3)(3x+5)
    -3*3x=
    This will be included in your final answer.
    I
    I
    -9x
    Current Answer
    6x2+10x-9x+___
    Multiply Inside Terms
  • 8. Applying FOIL Method-Last
    Ex: (2x-3)(3x+5)
    L-Last terms multiply together
    (2x-3)(3x+5)
    -3*5=
    This will be included in your final answer.
    L
    L
    x
    -15
    Current Answer
    6x2+10x-9x-15
    Multiply Inside Terms
  • 9. Applying FOIL Method-Combine Like Terms
    • Combine terms with same variable & exponents
    • 10. Simplify for final answer
    6x2+10x-9x-15

    6x2+x-15
  • 11. Methods Behind the Madness
    Need to keep things “in order”
    6x2 2nd order (2 in exponent value)
    X1st order (Assumed 1 in exponent)
    -15 No variable places it at end of equation
    FOIL method keeps equation perfectly ordered
  • 12. Future Applications of FOIL Method
    Creating and graphing quadratic functions
    Solving trinomials and polynomials
    Calculus and Trigonometry
    Breaking down and factoring large polynomials
  • 13. Homework Problems
    (2x+2)(3x+3)
    (8x-5)(7x-4)
    (2x-1)(18x+2)
    ATTEMPT solving before next class period