CH GCE Portfolio

In this workshop, we have studied a many things like deductive reasoning, analytical writing, logical argument in algebra and geometry, complementary and supplementary angles, combinations, and Pascal's Triangle. Our AP includes both Pascal's Triangle and combinations since Pascal's Triangle are based on combinations! We connected the real world and math by figuring out how many different paths you could take from one place to another. My class learned about mathematical combinations and how we can solve them using factorials, permutations, and combinations. We also learned how we could use the Pascal's Triangle to help find how many routes that are on a map. We used the combination formula, nCr, to help find these ways even faster. It was a unit full of finding different ways we could solve or unlock different mathematical combinations and patterns. For this AP, we had to find a way to present different combinations of objects in a dynamic representation. The purpose o...

In my geometry course, we have a mixed grade class. This means we have 9th to 12th graders in one geometry class. Since we are all in different grades, my teacher Mr. W, picked a problem that could be interpreted across many different skill levels. The question was, where can we find reflected angles in real life? How can we represent them? We are doing an action project because we believe that my class does not just need identify and quantify reflections using formal mathematical concepts, but relate it to real life concept. My first thing to answer in this post is, what is a reflection? A reflection is a type of rigid transformation in which the pre-image is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the pre-image is, just on the opposite side of the line. I picked the face/vase illusion. Automatically I noticed this picture is a reflection of itself vertically, so I decided to challenge myself and find...