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 an example problem given. Finally, shows three sample homework problems for students to try.

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Foil Method

  1. 1. FOIL Method<br />A system that will follow you through high school and beyond<br />Created by Justin Wigard<br /> Slideshare.net/wigar1jm<br />
  2. 2. Review: Distribution Property<br />Apply yesterday’s Distribution Property to single terms.<br />(Variable should come first in parentheses). <br />Ex: 7(2x+4) <br />7*2x + 7*4<br />14x+28<br />What if there are two terms…?<br />
  3. 3. FOIL Method<br />F-First term in each set multiplied together<br />O-Outer term in each set multiplied together<br />I-Inner term in each set multiplied together<br />L-Last term in each set multiplied together<br />Combine like terms and simplify<br />CONFUSED???<br />
  4. 4. FOIL Method-Broken Down<br />Given the function: (a+b)(c+d)<br />The terms a and c are first.<br />The terms a and d are outer.<br />The terms b and c are inner.<br />The terms b and d are last.<br />Thus: ac+ad+bc+bd<br />http://www.dummies.com/how-to/content/applying-the-foil-method-to-binomials.html<br />
  5. 5. Ex: (2x-3)(3x+5)<br />F-First terms multiply together<br /> (2x-3)(3x+5)<br />Applying FOIL Method-First<br />This will be included in your final answer. <br />F<br />F<br />6x2<br />2x*3x=<br />Current Answer<br />6x2+___+___+___<br />Multiply First Terms<br />
  6. 6. Applying FOIL Method-Outer<br />Ex: (2x-3)(3x+5)<br />O-Outside terms multiply together<br /> (2x-3)(3x+5)<br /> 2x*5=<br />This will be included in your final answer. <br />O<br />O<br />10x<br />Current Answer<br />6x2+10x+___+___<br />Multiply Outer Terms<br />
  7. 7. Applying FOIL Method-Inside<br />Ex: (2x-3)(3x+5)<br />I-Inside terms multiply together<br /> (2x-3)(3x+5)<br />-3*3x=<br />This will be included in your final answer. <br />I<br />I<br />-9x<br />Current Answer<br />6x2+10x-9x+___<br />Multiply Inside Terms<br />
  8. 8. Applying FOIL Method-Last<br />Ex: (2x-3)(3x+5)<br />L-Last terms multiply together<br /> (2x-3)(3x+5)<br />-3*5=<br />This will be included in your final answer. <br />L<br />L<br />x<br />-15<br />Current Answer<br />6x2+10x-9x-15<br />Multiply Inside Terms<br />
  9. 9. Applying FOIL Method-Combine Like Terms<br /><ul><li>Combine terms with same variable & exponents
  10. 10. Simplify for final answer</li></ul>6x2+10x-9x-15<br /><br />6x2+x-15<br />
  11. 11. Methods Behind the Madness<br />Need to keep things “in order”<br />6x2 2nd order (2 in exponent value)<br />X1st order (Assumed 1 in exponent)<br />-15 No variable places it at end of equation<br />FOIL method keeps equation perfectly ordered<br />
  12. 12. Future Applications of FOIL Method<br />Creating and graphing quadratic functions<br />Solving trinomials and polynomials <br />Calculus and Trigonometry<br />Breaking down and factoring large polynomials<br />
  13. 13. Homework Problems<br />(2x+2)(3x+3)<br />(8x-5)(7x-4)<br />(2x-1)(18x+2)<br />ATTEMPT solving before next class period<br />

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