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Introduction
This Headline Story contains no numbers, and barely any constraints. The goal is for students to think of the pieces of information that are needed to respond to such a situation. As students consider the variables in the situation, they may want to pick plausible values that offer a possible solution.
Headline Story
Dave plans to fence in a rectangular region of his yard for his dog. How might he decide the shape and size of the area to fence in?
Possible student responses
- First he might decide where he wants the region to be, and how much of the yard he wants to use.
- He could measure the sides of the dog’s space to figure out the amount of fencing he will need.
- He might try different side lengths for the dog’s region to see how the perimeter changes.
- He might make the rectangular region more square-like than oblong in order to use less fencing for the same area.