What basic fractional measures should all students be able to picture in their minds so that they can compare different fractions, decimals, and percents?
Well, I like to think about a measuring cup set to help me answer that question.
If a student can compare and visualize: 1 whole, 3/4, 2/3, ½, 1/3, and ¼ , then they can use this information to compare other quantities. For example, if I was trying to make sense out of 5/8, I would think:
•4/8 is the same as 1/2
•5/8 is a little more than 4/8 or 1/2
•So 5/8 is a bit more than 1/2 or 50% or .5
•I bet it is about 60% or .6 something (actual = .625 or 62%)
Now... compare 5/8 and .42. Could you do it?
P.S. This is the perfect reason why you should have your children cooking and measuring with you in the kitchen... building number sense!