Let’s consider revamping this 7th grade problem as a task where the students plan a variety show:
Your group is planning the annual variety show, and you need to make some recommendations about how the time should be spent. The principal insists on 20 acts and the show typically lasts 2 hours.
You must also consider the following:
- The combined set-up and take down for each act
- Introducing each act by the host of the show
Provide 3 scenarios that will make the best use of the time. Justify your thinking.
Caveat: It is implied that the students should consider how long each act should be. Should I make it explicit and list it with the considerations?
If I present the problem this way I think the students will begin to recognize the “considerations” as variables. A problem that has multiple solutions lends itself nicely to variables and the distributive property.
Am I leaving anything out?