Let me share how I completed step two of this process. After introducing to students the unit fraction, I wanted to start show students that there are many different ways to represent one fractional amount. I gave each student a set of fraction bars (Do you have these? I LOVE mine!)
I had the students pull out the 1/2 fraction bar and explain that I wanted to see if students could make 1/2 another way with different bars- but they had to stick with the SAME color fraction (no mixing 1/8 and 1/3 or whatever). Then students had to prove they were the same length by laying the fractions under the 1/2. Eventually as students worked and talked they began seeing that 1/2 was also 2/4, 3/6, 4/8, 5/10 and 6/12.
Next (because I wanted to reinforce number lines) I made 6 number lines and showed how that 1/2, 2/4, 3/6, 4/8, 5/10 and 6/12 all lined up on the same places on their number lines. We discussed how all of these were different ways of saying 1/2 and they were all equivalent.
And that was all we did. I know, simple, not rocket scince but it DID take up the whole time AND it was all their little brains could process. Up next: relating all this newfound knowledge to a ruler.













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