I promised another entry in FractionFest 2013 (though a Twitter follower renamed it “Fractionpalooza” which I L-O-V-E!) so here goes . . .
It is super important to remember that fractions come in all shapes and sizes, so I keep bringing my students back to the idea that–like decimals–fractions are numbers that let us talk about pieces of numbers! Next week we will be really digging into number lines, but we spent a few days this week digging into fractions of sets. We started with this question:
Which is bigger–1/2 of 12 cubes or 1/3 of 18 cubes?
I had the students glue the prompt into their notebooks and to decide on an answer and try to “prove it” with words, pictures, or by modeling.
|Math is always better when it is filled with artificial colors and flavors, right?|
|Notice the “What fraction of your Skittles are brown?” This REALLY tripped them up! Even my first-ones-dones struggled with what the answer to that would be. Some even tried to count the purple ones as browns!|
|As the problems got trickier, a few students needed to pull out cubes or other counters to model.|