I'm planning to use the following sort-in-order activity with a group that will review calculus and especially struggled with optimization.
For each group - 2 to 3 students - I will make horizontal cuts across the paper, so that each step, why, and example will be on one piece of paper, and then shuffle them. The kids are then instructed to put the pieces in order of how they would solve an optimization problem that will be different for each group of students. They are also asked to provide an explanation for why each step is done and the example solution problem they are assigned.
I wonder if this task would also work as an introductory activity to optimization, as in: make sense of this, given whatever conceptual understanding you have of derivatives.
Any feedback on this?