I had some trouble doing this activity when I did it with my group during the PD. My initial misconception was what I had to do to start it. After I worked on it for a little bit, I realized we were just creating all of the permutations that could be created with a circle, square, and triangle. Since I haven’t worked with permutations in a while, I had trouble coming up with all of the patterns. My initial thought was to just create all of the patterns right away, so I started to do that. It was at this time when a math teacher said that we could figure out a pattern to come up with all of the permutations.
I foresee that my students will want to create all of the permutations one by one like I did. I intend to have the students work through it a while with the hope that they figure out that they could come up with an algorithm to create all of the permutations rather easily. I hope at least one of the groups will be able to figure this out, and teach the other students how they did it.