Ok Heather,
1st Make a chart like this out of heavy card stock. It is important to make the sizes equal in each bar and the bars to be the same size too. Bars are more effective than pies. This one is magnetic for $10 but then there is shipping. You CAN make your own! it doesn’t have to be magnetic.
http://activitiesforlearning.com/fractionmagnet.aspx
Here are the partial instructions for using these from RS…this contains some VERY GOOD ideas.
http://www.alabacus.com/Downloads/Fraction%20Activities%20Short%2011-15-06.pdf
the full instructions alone could be worth the ten dollars, maybe for next year?
My own suggestions would be to understand the concept of a whole FIRST, doing what the partial instructions indicate, and also
cutting an apple into fourths (four equal pieces -about)…asking how many pieces (parts) does it take to make 1 whole apple (4). So 4 fourths make 1 apple. cool…and so on.
try the above with measuring cups and water…use 1 cup and the 1/2 cup, then use the 1/3 cup, and then the 1/4 cup, and even the 1/8th cup …it will take 8 of the 1/8 cups to make a cup…this is important
need something concrete to attach the new thinking to.
stop trying to write out answers before concepts are built. and don’t worry about going forward until you both have the understanding you need. being able to manipulate the numbers on a page to get the right answer for the blanks is NOT the goal.
use everything you can. a banana cut into equal pieces, a piece of licorice, etc.
once you both get what makes a whole (all its parts)…you go…oh by the way we write 4 fourths like this…4/4 and we know 4/4=1 or 8/8=1 or 3/3=1, etc. you can later have a light bulb moment…wait if all those are 1….then you mean 4/4=8/8=3/3=1000/1000=a/a=whatever/whatever=1 yes as long as the top and the bottom are exactly the same…it =1
the stairs activity is trying to show you the size relationships…which is bigger 1/2 or 1/4…don’t just try to memorize the fact that the smaller the number on the bottom the larger the fraction…memorization has very little place right at this point in learning…we must get it! (b/c that rule wouldn’t work if the top wasn’t 1. we will need to deal with this later 2/3 or 11/12 which is bigger…and the rule above wouldn’t work as the 2/3 is actually smaller…)
you can also show this again in the kitchen with teaspoons and sugar, sand, water, or the like.
before going into common denominators etc. STOP…you MUST make sure you have the multiplication tables down flat. do whatever it takes to have them 0x0 to 12×12.
then you can learn to “reduce” fractions and find the common denominator and see why the 2/3 was smaller than the 11/12!
and finally add and subtract. and all the rest
God Bless!
here’s the straight talk and pep talk all in one…
Heather, leave the past and the panic at the door, it is contagious. Approach it like discovering a new land, learning a new skill, be transparent and brave, she will follow your example. Some are slower at aquiring the understanding, some need different techniques–kinectic, audio, visual, etc…but I have yet to found someone who actually COULDN’T learn if the desire to was there. the block is in the mind made up of past experiences and YOUR decisions about them! I wish I was there, I’d tutor you both!
I’m 41, and I am needing to learn some very serious stuff (affecting my entire family’s lives) right now that I have no idea how to do…I wish it was as simple as academics –any subject…instead it is deep character issues and ways of being vs. doing…and my dear friend told me today…absolutely an old dog can learn new tricks, you can not convince me otherwise! so I pray as you (the older of the two of you) learns you will be the inspiration for your girl. YOU both can do this. You could never convince me otherwise.
Go with GOD, lean on His understanding…HE is the ultimate MATHEMATICIAN…
jo
p.s. later when their is room in the budget and you both have the real world concepts down…these key to fraction books are clear and break the steps down with good explanation and are reasonable at rainbow for $14.90 you get them all and the answer keys and notes too.
http://www.rainbowresource.com/product/Key+to+Fractions+Complete+Set+Workbooks+%2B+Keys/FRACMP/1290057600-1918232