Here’s the idea: your students need practice converting improper fractions to mixed numbers (and yes, they are “mixed numbers” and not “mixed fractions”), but just doing one of those cruddy worksheets you downloaded off some cruddy worksheet website is just not going to cut it. What if converting improper fractions to mixed fractions could be a little engaging and, dare we say it, fun?
Well, games are fun, and a little competition in the classroom never hurt anybody (although it should be emphasized that this is strictly “low stakes,” and you’re not going to put the fastest kid in the class with the slowest, will you? Thanks very much!) But the idea here is that you can incorporate a separate skill into the activity, which involves estimation.
Your students work in pairs and pick 3 or 4 cards (depending on which version of the game they're playing), choose 2 (or 3, depending on which version they're playing) and make an improper fraction out of them. They then convert the improper fraction to a mixed number, figure out how far from the whole number it is that they placed it on. There's a lot of strategic thinking that goes on in addition to the practice estimating and converting improper fractions to mixed.