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Math Curiosity: The Coloring Problem

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Summary

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?

  1. First, students will learn that neighboring regions on a map should have different colors, next they will understand that using fewer colors saves money, then they will explore how many colors are needed for a specific map layout, and finally, they will complete the map by coloring it with the fewest colors possible.
  2. First, students will learn that they can use just three colors to cover a map of Ireland, then they will receive a more complex map, and finally, they will determine the fewest number of colors needed to fill it in.
  3. First, students will learn that it is possible to color a complicated map using only four colors, next they will be challenged to fill in maps like the US state map with four colors, then they can try to create their own map that needs more than four colors, and finally, they will explore the mathematical theory behind this concept.

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