Tic Tac Toe Factoring

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Category: Education
     
 

Presentation Description

Using a graphic organizer to factor trinomials

Comments

By: pennimartin (106 month(s) ago)

Love it! It is a great way to differentiate! I have taught trial and error method as well as a procedure called MARF; however, a student mentioned learning the tic tac toe method so I googled it and found your presentation. May I download it?

By: smsalgebra (106 month(s) ago)

You are more than welcome to use it. Enjoy! I also have a second way that takes apart the middle term -- similar to Tic Tac Toe without the graphics. It is at Slideshare.net & is called Factoring Trinomials. It is under the user name QVAmath (my new school). You can PM me at qvamath@gmail.com or visit my website at qvamath.net. Don Simmons

 

Presentation Transcript

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!

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