On the second (or third?) day of school my Precalc kids are tasked with making a box. I cut up different colors of card stock into various sizes and they have to determine how much to cut out of each corner to create an open box. (I wrote more about it

here.)

It's a good reminder of a lot of function stuff - graphing, domain, max and min, zeros. And it gets them to start thinking out of the box. (Ha!)

Once they're done, I have them write up a sheet that I call the Summary Sheet. It has their original paper dimensions, the formula they used to find the optimum height (l x w x h) and their simplified version V(x) = 4x^3 + . . .

I keep it. I pitch the boxes. (Who has room for 70+ open paper boxes?!)

Today we were finally ready to follow up on the boxes. I gave them what I called the "Box Project Follow-Up" (I know... what an imaginative title!)

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