Here’s an idea to keep the quickest ones entertained too: Simultaneous contest to predict what number the last student will call out. (Make sure everybody knows how many people will be calling out numbers.)
They could skip-count fast, but probably the winners will be figuring out what f(x) is and then applying it to f(31) or whatever.
Maybe there’s a way to expand this so there’s more than one winner.
I thought of this because my students have trouble making the jump from “y increases by 3 every time” to “this is how y depends on x.”
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