Geometry

During the first semester, there was really only one topic that I succeeded in. This topic was the idea of proving and using triangle sum conjectures. I didn't really enjoy the topic, but the content came to me faster than any other topic that we have studied this year. One piece of work that expresses my knowledge on that topic was the test that we took. When we were taking the test, it felt as though the test was easier than any other we had taken. The picture below is of my test. After the test, I felt confident about how I did. Apparently, my confidence and content retention payed off because when I got my test back, I got an A on it, the best grade I have recieved on any test.

One of the POWs (problem of the week) we did was called Pathfinder. The objective of this POW was to go from one point in the upper left corner of a 4x4 and 5x5 box and find as many paths as I could that went to the point in the bottom right corner. While working through this problem, I came across a few challenges. One of those challenges was finding a path and then getting stuck on the same one for 10 minutes and then finding another one then getting back to that confusion. The way I solved this was that I went back and categorized each path by starting grid height. When I looked at each grid height, I was able to find missing components in the paths that were a specific grid height. Below is a picture of the Problem of the Week.

"The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful."

-J.H. Poincare