Yesterday, I introduced the following problem to my Math 7 students. They struggled deeply with it, but in the productive way that I would have hoped.
Today, I reassigned the problem, but I was a little more clear about my instructions. They were to make as many many biscuits as they could with the materials available. They could make part of a biscuit, but couldn't make smaller or bigger ones.
After this second explanation and the encouragement to "try whatever you think might work" they did some pretty incredible stuff.
There were a bunch of different approaches they could have used and too many of them got bogged down by the numbers rather than the concepts. For future reference, I used hexagons to demonstrate how I would solve this problem.
I separated as many whole batches as I could and set them aside.
Now, in addition to wishing I had biscuits, I also wish I had white hexagons...