As I have worked to build my students’ understanding of key fraction concepts, I wanted students to really work to deepen their understanding that fractions can have more than one name–and can be represented in more than one way. In other words–equivalent fractions!
Today’s “warm up” was geared toward reminding students that they can represent fractions in many ways…so I gave them 5 minutes to make a “mini poster” (literally 4 inches by 4 inches!) to show as many ways to show 1/2 as possible. After they worked, we did a little gallery walk. We came back together and had a discussion about what we saw…different shapes…number lines…fractions of sets…equivalent fractions…
OK…the REAL challenge!
Here’s where the fun (and really deep understanding) kicks in. The next task is to create ONE more fraction for their poster–that does NOT fit their “team”. In other words, they need a fraction that is NOT equivalent. I explained that they would be then traveling from team to team to try to find the “mystery” fraction. Next, I had them write their “counterexample” on the back so students could check their work. I then encouraged them to try to be as sneaky as possible when making their “outsider” so other students would really have to work!
Some groups did an AMAZING job…and I heard some great math talk! This really immersed them in this idea of equivalent fractions. They had to think hard about number patterns and the true meaning of equivalence. We came back together after their gallery walk and discussed their findings–and talked about some of the trickier ones. It was a ton of fun and a great use of time. The paper and pencil practice work we did after this was done in a snap–almost all students really “got it”, and those who weren’t met with me for a little extra practice.
I wrote about this a few years back with a slightly different twist if you want another idea. Just CLICK HERE for that post! These ideas are a part of my full fraction unit which you can check out by clicking the image below. If you are looking for ways to deepen your students’ understanding, you might want to check it out!