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Tic tac-toe factoring
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Tic tac-toe factoring Presentation Transcript

  • 1. Tic-Tac-Toe Factoring A graphic organizer approach to factoring 2 nd degree trinomials
  • 2. Tic-tac-toe Factoring
    • If you have been having a little bit of trouble with factoring trinomials, this graphic organizer, based on a common tic-tac-toe grid, may be just what you need.
    • To get the most out of this presentation, use pencil and paper and work through the instructions slowly and carefully.
    • Keep in mind that tic-tac-toe will not do the factoring for you. But it will keep everything organized so you can concentrate on the numbers.
    • I hope it helps. Have fun!
  • 3. Step 1
    • Draw a tic-tac-toe grid with an extra box at the bottom right.
  • 4. Step 2
    • Arrange the three terms of the trinomial in the boxes as shown.
  • 5. Step 3
    • In the upper right box corner put the product of ax 2 and c.
  • 6. Step 4
    • Now we will put some numbers in and work through the process.
  • 7. Step 4
    • Now we will put some numbers in and work through the process.
    • Use the trinomial
    • 8 x 2 – 14 x + 3 and set it up as shown.
  • 8. Step 4
    • Now we will put some numbers in and work through the process.
    • Use the trinomial
    • 8 x 2 – 14 x + 3 and set it up as shown.
    • Remember that the term in the upper right box is the product of the terms in the left and middle boxes.
  • 9. Step 5
    • Now find a pair of factors for the value of a x 2 c that will add up to bx .
    • Put these two factors into the two boxes in the right column.
  • 10. Step 6
    • Now find a pair of factors for the middle term of the right column that will also be factors of a x 2 and c .
    • Be sure to watch the signs of the factors.
  • 11. Step 7
    • Now do the same for the bottom term of the right column.
  • 12. Step 8
    • Now all the boxes of the tic-tac-toe grid are filled in.
    • Check that the two bottom terms of the first column are factors of the top term.
  • 13. Step 8
    • Now all the boxes of the tic-tac-toe grid are filled in.
    • Check that the two bottom terms of the first column are factors of the top term.
    • Do the same for the terms in the middle column.
  • 14. Step 9
    • The trinomial is now factored. Each pair of diagonal terms is a binomial.
  • 15. Step 9
    • The trinomial is now factored. Each pair of diagonal terms is a binomial.
    • Here are the two factors of the trinomial:
      • (4 x – 1) (2 x – 3)
  • 16. Step 9
    • The trinomial is now factored. Each pair of diagonal terms is a binomial.
    • Here are the two factors of the trinomial:
      • (4 x – 1) (2 x – 3)
      • Therefore:
  • 17. Try it. You’ll like it! That’s all folks!