Tic-Tac-Toe Factoring: Tic-Tac-Toe Factoring A graphic organizer approach to factoring
2nd degree trinomials
Tic-tac-toe Factoring: 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!
Step 1: Step 1 Draw a tic-tac-toe grid
Step 1: Step 1 Draw a tic-tac-toe grid
Now draw an extra box in the lower right corner
Step 1: Step 1 Draw a tic-tac-toe grid
Now draw an extra box in the lower right corner
Step 1: Step 1 Draw a tic-tac-toe grid
Now draw an extra box in the lower right corner
Step 1: Step 1 Draw a tic-tac-toe grid
Now draw an extra box in the lower right corner
The organizer is now ready to be used
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
In the upper right box corner put the product of ax2 and c.
Step 2: Step 2 Arrange the three terms of the trinomial in the boxes as shown.
In the upper right box corner put the product of ax2 and c.
Step 3: Step 3 Now we will put some numbers in and work through the process.
Step 3: Step 3 Now we will put some numbers in and work through the process.
Use the trinomial
8x2 – 14x + 3 and set it up as shown.
Step 3: Step 3 Now we will put some numbers in and work through the process.
Use the trinomial
8x2 – 14x + 3 and set it up as shown.
Step 3: Step 3 Now we will put some numbers in and work through the process.
Use the trinomial
8x2 – 14x + 3 and set it up as shown.
Now put the product of the first and third terms into the right-hand box
Step 3: Step 3 Now we will put some numbers in and work through the process.
Use the trinomial
8x2 – 14x + 3 and set it up as shown.
Now put the product of the first and third terms into the right-hand box
Step 3: Step 3 Now we will put some numbers in and work through the process.
Use the trinomial
8x2 – 14x + 3 and set it up as shown.
Now put the product of the first and third terms into the right-hand box
Step 3: Step 3 Now your organizer is set up and ready for factoring.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Remember to double-check your signs!
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Remember to double-check your signs!
Step 4: Step 4 Now find a pair of factors for the value of ax2c that will add up to bx.
Put these two factors into the two boxes in the right column.
Remember to double-check your signs!
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Step 5: Step 5 Now find a pair of factors for the middle term of the right column that will also be factors of ax2 and c.
Be sure to watch the signs of the factors.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Step 6: Step 6 Now do the same for the bottom term of the right column.
Once again, check your signs!
Step 7: Step 7 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.
Step 7: Step 7 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.
Step 7: Step 7 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.
Step 7: Step 7 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.
Step 7: Step 7 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.
Step 7: Step 7 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.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Here are the two factors of the trinomial:
Step 8: Step 8 The trinomial is now factored. Each pair of diagonal terms is a binomial.
Here are the two factors of the trinomial:
Try it. You’ll like it!: Try it. You’ll like it! That’s all folks!