Geometric Constructions Task: Pizza Delivery Regions

The following task is probably best suited for the a beginning unit on Geometric Constructions or use of a compass and straight edge. However, you may also wish to use it as a fun review as students reenter your classrooms in January, groggy from two weeks of sleeping late.

The task is adapted from the NCTM Illuminations task “Dividing a Town into Pizza Delivery Regions” (membership required). Students are asked to split a town into delivery regions based on proximity. We’re hoping to get students to use a compass and straight edge to construct overlapping circles.

I adapted it by making it local to my area (using a simple search of “Domino’s Pizza” on Google Maps. I then split it into a warm up in which students identify which Domino’s Pizza four specific locations would go to. From there, students are given a larger map and asked to generalize the regions (that’s where the constructions and tools come in). The other adaptation is simply a solicitation for the map and a written explanation for that map.

Feel free to share in the comments how you’d adapt the task even further. And if you do so and implement the task, feel free to email me (gmkrall@gmail.com) and share some student work. It’s always appreciated.

As an aside, I’m starting to feel a bit odd about howoften I blog about pizza….

no answer key?

Based on various constructions, there are essentially infinite possible answers, provided good justification.