Tic Tac Toe Factoring

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Using a "Tic-Tac-Toe" graphic organizer to help factor trinomials

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Tic Tac Toe Factoring

  1. 1. Tic-Tac-Toe Factoring A graphic organizer approach to factoring 2 nd degree trinomials
  2. 2. Tic-tac-toe Factoring <ul><li>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. </li></ul><ul><li>To get the most out of this presentation, use pencil and paper and work through the instructions slowly and carefully. </li></ul><ul><li>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. </li></ul><ul><li>I hope it helps. Have fun! </li></ul>
  3. 3. Step 1 <ul><li>Draw a tic-tac-toe grid with an extra box at the bottom right. </li></ul>
  4. 4. Step 2 <ul><li>Arrange the three terms of the trinomial in the boxes as shown. </li></ul>
  5. 5. Step 3 <ul><li>In the upper right box corner put the product of ax 2 and c. </li></ul>
  6. 6. Step 4 <ul><li>Now we will put some numbers in and work through the process. </li></ul>
  7. 7. Step 4 <ul><li>Now we will put some numbers in and work through the process. </li></ul><ul><li>Use the trinomial </li></ul><ul><li>8 x 2 – 14 x + 3 and set it up as shown. </li></ul>
  8. 8. Step 4 <ul><li>Now we will put some numbers in and work through the process. </li></ul><ul><li>Use the trinomial </li></ul><ul><li>8 x 2 – 14 x + 3 and set it up as shown. </li></ul><ul><li>Remember that the term in the upper right box is the product of the terms in the left and middle boxes. </li></ul>
  9. 9. Step 5 <ul><li>Now find a pair of factors for the value of a x 2 c that will add up to bx . </li></ul><ul><li>Put these two factors into the two boxes in the right column. </li></ul>
  10. 10. Step 6 <ul><li>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 . </li></ul><ul><li>Be sure to watch the signs of the factors. </li></ul>
  11. 11. Step 7 <ul><li>Now do the same for the bottom term of the right column. </li></ul>
  12. 12. Step 8 <ul><li>Now all the boxes of the tic-tac-toe grid are filled in. </li></ul><ul><li>Check that the two bottom terms of the first column are factors of the top term. </li></ul>
  13. 13. Step 8 <ul><li>Now all the boxes of the tic-tac-toe grid are filled in. </li></ul><ul><li>Check that the two bottom terms of the first column are factors of the top term. </li></ul><ul><li>Do the same for the terms in the middle column. </li></ul>
  14. 14. Step 9 <ul><li>The trinomial is now factored. Each pair of diagonal terms is a binomial. </li></ul>
  15. 15. Step 9 <ul><li>The trinomial is now factored. Each pair of diagonal terms is a binomial. </li></ul><ul><li>Here are the two factors of the trinomial: </li></ul><ul><ul><li>(4 x – 1) (2 x – 3) </li></ul></ul>
  16. 16. Step 9 <ul><li>The trinomial is now factored. Each pair of diagonal terms is a binomial. </li></ul><ul><li>Here are the two factors of the trinomial: </li></ul><ul><ul><li>(4 x – 1) (2 x – 3) </li></ul></ul><ul><ul><li>Therefore: </li></ul></ul>
  17. 17. Try it. You’ll like it! That’s all folks!

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