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 A to Z Teacher Stuff Forums How to teach factoring to my fifth grader

#1
07-29-2008, 06:42 PM
 cshelz89 Rookie Join Date: Jun 2008 Posts: 18 CA Teaching Assistant
How to teach factoring to my fifth grader

My daughter is having trouble learning what factors are of a number. I have gone over it and over it. Do any of you have any tips? She gets upset easily. I am at my wits end.

Thanks

If you can give me an example that would be great.

#2
07-29-2008, 06:54 PM
 GoldenPoppy Habitué Join Date: Aug 2007 Posts: 820 5th Grade
Are you trying to show her with factor trees or with the related multiplication facts?

I present factors as multiplication facts first:

15/30 would be written as 3 x 5/3 x 10. We would then write it as 1 x 15/5 x 6 until we had listed all the possible ways that we could make each number. The lists are then put together, so that we would end up with 1, 3, 5, 15 as the factors of 15 and 1, 2, 3, 5, 6,10, 15, 30 as the factors of 30.
#3
07-29-2008, 07:16 PM
 Loomistrout Habitué Join Date: Dec 2007 Posts: 995 Rocklin, CA
Quote:
 Originally Posted by cshelz89 My daughter is having trouble learning what factors are of a number. I have gone over it and over it. Do any of you have any tips? She gets upset easily. I am at my wits end. Thanks If you can give me an example that would be great.
What have you done this far? What can she do correctly?
#4
07-29-2008, 07:17 PM
 cshelz89 Rookie Join Date: Jun 2008 Posts: 18 CA Teaching Assistant
Thanks so much! I have not done this way. I like it and she got!

Thanks again

Michelle
#5
07-29-2008, 08:06 PM
 Lareigna Companion Join Date: Jul 2008 Posts: 164 NH 6th Grade Teacher
I was just shown the stick method for factoring. Some of my collegues have used this and said it is easier than using a factor tree. Hope this helps.

EX. factor 18

Have student list 2, 3, 5, 7, 9, 11... Prime factors at the top of the page.

Then draw a line, so you have 2 columns (the ! will represent the line)
18 !

Start with the 2, how many times does 2 go into 18 - the answer goes on the next line under the 18.
18 ! 2
9 !

Now does the 2 go into 9, no so cross out the 2 and use the next prime number 3. 3 goes into 9...
18 ! 2
9 ! 3
3 !

Now does 3 go into 3 yep, 1 time
18 ! 2
9 ! 3
3 ! 3
1 !
#6
07-29-2008, 08:16 PM
 Andrea L Habitué Join Date: Jul 2004 Posts: 849 WA 3rd Grade Teacher
I do factoring rainbows. You start with the outer ring of the rainbow being 1 and 30. The next color of the rainbow is 2 and 15. The third color of the rainbow is 3 and 10. The fourth color inside the rainbow would be 5 and 6. It's important to go through every number (even though they may not be factors). I taught my third graders last year this method and they really got it with this method.
#7
07-29-2008, 10:07 PM
 Upsadaisy Moderator Join Date: Aug 2002 Posts: 16,001 Florida

The simplest way to demonstrate factors is with arrays. Use a handful of counters or pennies. To find all the factors, you find all the different ways the counters can be arranged. Ex, for 4 counters, you can make 1 row of 4, or 2 rows of 2. The array must be a rectangle of some sort, with none left over. The various numbers used are the factors. The factors of 4 are 1, 2, 4.

You can also make the arrays on graph paper.
#8
07-29-2008, 10:53 PM
 peridotylayne Companion Join Date: Aug 2007 Posts: 187 Texas 4th Grade Teacher
Quote:
 Originally Posted by Andrea L I do factoring rainbows. You start with the outer ring of the rainbow being 1 and 30. The next color of the rainbow is 2 and 15. The third color of the rainbow is 3 and 10. The fourth color inside the rainbow would be 5 and 6. It's important to go through every number (even though they may not be factors). I taught my third graders last year this method and they really got it with this method.
I LOVE THAT!! I teach my students factors, but we always just made a list. I'm definitely going to try and remember that this year!
#9
07-29-2008, 10:58 PM
 Andrea L Habitué Join Date: Jul 2004 Posts: 849 WA 3rd Grade Teacher
Well, I'd love to claim it, but I saw my best friend's son doing it for homework one day. His teacher taught him, but I don't know the name.
#10
07-29-2008, 11:02 PM
 teacherSMK Habitué Join Date: Jul 2007 Posts: 922 Florida Primary Elementary Teacher
i love the rainbow idea...thx!

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