So, this was another lesson that I always dreamed about doing. I love the idea of describing a sequence of manipulations that always work out to some cool pattern that you don’t see coming. Then, to me, it is fun to see why this pattern always holds by working through the manipulations on a generic variable. I loved doing this (with the help of some rational algebra) to my friends in college. I would have them pick an integer and then walk them through some set of manipulations that would always result in the number 7. That one will have to wait until Common Core Algebra II.
The Lesson: CCAlgI.Unit #1.Lesson #11.Algebraic Puzzles