## Geometry skills

One topic that I feel I've mastered this semester is Finding the lengths of triangle sides using the Pythagorean Theorem. One of the reasons that I was able do this was I explained the process of using the Pythagorean Theorem to friends in my class that didn't understand which really helped me get a better grasp on it. I also practiced with every exploration that we were given which helped me solidify the steps in my head. I know I have mastered this skill because I can easily explain how to use the Pythagorean Theorem to someone who doesn't understand it to help them make sense of it. I helped a friend out with it for an exploration which he got 100% on after he turned it in. I also got 25/25 on my triangles quiz which was a test with everything we had learned about triangles in it including the Pythagorean Theorem.

Explorations have helped me a lot this year in Geometry. They really help me practice and master the content that we're learning in class and the discussions help even more because if I get stuck on a problem in the exploration I can talk about it and sort it out with my discussion group. The discussions also allow me to help out friends with content that I feel strong on but they might not which both helps them learn and allows me practice at the same time.

One breakthrough I had in math this year was when I just started to grasp what we were doing with logic. We were learning a lot of new vocabulary and there were a lot of rules that you had to remember. As I was working on a logic homework assignment I realized that I had just gotten to a point where I understood the vocab and most of the new material that we were working on on a different level. I think all the practicing I did in and out of class lead to this breakthrough and it made me want to practice more in the future because having a good grasp on the content that's being taught in class makes it a lot easier to understand.

Explorations have helped me a lot this year in Geometry. They really help me practice and master the content that we're learning in class and the discussions help even more because if I get stuck on a problem in the exploration I can talk about it and sort it out with my discussion group. The discussions also allow me to help out friends with content that I feel strong on but they might not which both helps them learn and allows me practice at the same time.

One breakthrough I had in math this year was when I just started to grasp what we were doing with logic. We were learning a lot of new vocabulary and there were a lot of rules that you had to remember. As I was working on a logic homework assignment I realized that I had just gotten to a point where I understood the vocab and most of the new material that we were working on on a different level. I think all the practicing I did in and out of class lead to this breakthrough and it made me want to practice more in the future because having a good grasp on the content that's being taught in class makes it a lot easier to understand.

## Problem solving Skills

I think I have the most mastery over generating ideas. This skill includes finding multiple ways to approach a problem and identifying and being able to use mathematical tools like equations, formulas, etc. To me this means adapting to problems that you might face when trying to solve something and being able to use what you are given to find a solution. I think I have demonstrated this skill in all of the POWs I have turned in throughout the semester. I think I show this well in POWs 2 and 3 because I am given a couple of sides of a shape in both and have to use what I am given to solve the problem. I also use my knowledge of all the formulas we've learned about triangles this semester like the Pythagorean Theorem. I have grown in this problem-solving skill this semester by getting a lot of practice with POWs and Explorations.

The habit I think I need to work on a little bit is reflecting and synthesizing. Whenever I write down an answer on an exploration or a POW, I don't really reflect on it or revise it and I find that I sometimes have trouble justifying my answers. This might be that I need to work on mastering the content that is in the question or it may be that I just need to think about my answers a little more. This is definitely the habit that I will work to improve next semester by maybe taking a step back when I finish a POW and going back through the process of how I got the answer and why it's right or wrong.