# Math Curiosity: The Coloring Problem

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Students will investigate the curious question: How few colors do you need to color in *any* map?

No video gets me more email from students! How few colors can you use to color in any map so that no two, neighboring regions are the same color?

### Objective

How few colors do you need to color in any map so that no two neighboring regions are the same color?

### Steps

1. First, we introduce the idea of coloring in regions on a map with a very simple example that needs only three colors.
2. Then, we increase the challenge a bit with a second map that still only needs three colors.
3. Next, we present an even more challenging map.
4. We reveal the coloring problem's true solution: no map needs more than four colors.

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