Juniour Year Reflection
I didn't clearly define my goals for math at the beginning of this year, but they're essentially the same for every class  pay attention, do all the work, and get a good grade  and I think I accomplished all of these things. As the year went on, I found myself challenging myself to collaborate with my peers through work such as POWs, homework, lessons, etc. This was powerful because I developed a greater understanding of mathematics and how I process mathematics when communicating with my peers to solve problems. In retrospect, this would have been an excellent goal to have, and I will be taking this goal into Math 4.
I definitely feel more confident in my math abilities because of this class. Even though I didn't learn anything super new, it was helpful to go back to the basics and solidify my knowledge. This notion of relearning what I learned a long time ago and have now forgotten was very helpful in studying for and taking the SAT, because they do not test anything above a precalculus level, and I am currently in calculus. Outside of the SAT, this class was beneficial in backing up some of my calculus content as well. So, while I didn't feel particularly inspired and awed in class, I definitely felt the effects of Math 3 in my other mathematical ventures.
This class was very easy to balance with other classes I was taking. Because I already have learned the content, even if it was a while ago, I was able to pick up the lessons quickly and complete my work in class. When I was done with the work, I was able to use my Math 3 time to go over some of the SAT prep I was doing or do calculus homework, which I think was a very productive use of time, and made balancing work easier. When I wasn't working, I was also able to help out some of my classmates with the content we were learning. I feel very prepared for Math 4 and whatever math electives I choose to take in the future because Math 3 solidified my understanding of math basics, which is transferrable to any class.
I definitely feel more confident in my math abilities because of this class. Even though I didn't learn anything super new, it was helpful to go back to the basics and solidify my knowledge. This notion of relearning what I learned a long time ago and have now forgotten was very helpful in studying for and taking the SAT, because they do not test anything above a precalculus level, and I am currently in calculus. Outside of the SAT, this class was beneficial in backing up some of my calculus content as well. So, while I didn't feel particularly inspired and awed in class, I definitely felt the effects of Math 3 in my other mathematical ventures.
This class was very easy to balance with other classes I was taking. Because I already have learned the content, even if it was a while ago, I was able to pick up the lessons quickly and complete my work in class. When I was done with the work, I was able to use my Math 3 time to go over some of the SAT prep I was doing or do calculus homework, which I think was a very productive use of time, and made balancing work easier. When I wasn't working, I was also able to help out some of my classmates with the content we were learning. I feel very prepared for Math 4 and whatever math electives I choose to take in the future because Math 3 solidified my understanding of math basics, which is transferrable to any class.
Independent Research Project
Project Description
The purpose of this project was to further explore an area of math, such as history, famous mathematicians, sacred geometry, Fibonacci numbers, or graph theory to name a few. My group  Grace, Ava, Caeley, Nyana, and Amanda  decided to do a project on math in fashion. We were initially thinking fashion show, and then we switched to a series of design sketches, and finally settled on making a dress (shown left). It turned out a little wacky, but not bad as far as amateur work goes. Project Reflection
While I really enjoyed this project, I would have split our project up into three sections of specific time  project drafting and planning, creation, and then refinement afterwards. My group spent the majority of the time creating, but if we had planned effectively, we wouldn't have needed to spend as much time creating and problem solving around issues we didn't foresee (i.e., the dress not actually being wearable). Furthermore, our final project could have been even better because if we made up time in the planning and creating sections, we would have had residual time that could have been used for refinement. In this project, I learned a lot about how math and geometry are used in fashion, such as in Viktor and Rolf designs. I also learned how hard it is to incorporate math and geometry into fashion in a clean and logical way. I enjoyed the research project because my group was hilarious and our product was interesting to me, but overall I would have liked to have more specific parameters for what the product was supposed to address and loosely how to address it. Our project started out leaning in a very geometric and mathematical direction, but slowly evolved into fashion because actually cutting tulle or arranging fabric in geometric ways was very structurally difficult. 
Memorable P.O.W. (Term 2)
Term Reflection
I didn't particularly have goals this semester, but finishing with a pretty good grade and completing all my assignments (which I did in fact do this semester) likely would be what I would have made my goals. I accomplished this by not procrastinating and using my class time wisely. All of the classwork went well for me, but a couple of the POWs required me to put in a significant amount of effort. In the end however, it turned out for the best as it helped me to change my process to solve problems I don't initially know how to approach better.
I have changed as an individual throughout the course of this semester in part due to this class and in part due to my calculus class. Because of mainly POWs, I've had to change the way I approach a problem to be a more systemic and allencompassing. For example, I now like to begin by extracting important information from a problem, then drawing it out as many times as it takes for an idea to emerge. In the past, I would have tended towards just looking for a numeric answer or formula. This change means that I can actually solve the problem more efficiently, as well as understand the problem better. It also makes me more assured in the correctness of an answer.
In the second semester, I would like to get a good grade and complete all of my assignments, but I would also like to find ways to expand on my classwork to make it more relevant to me. I struggle with relevancy in this class sometimes because I have learned most, if not all of the content in the past. The POWs, thankfully, require more thought, but still rely on skills I have already grasped. Making this change will allow me to take more responsibility for my learning and just enjoy the class more.
I have changed as an individual throughout the course of this semester in part due to this class and in part due to my calculus class. Because of mainly POWs, I've had to change the way I approach a problem to be a more systemic and allencompassing. For example, I now like to begin by extracting important information from a problem, then drawing it out as many times as it takes for an idea to emerge. In the past, I would have tended towards just looking for a numeric answer or formula. This change means that I can actually solve the problem more efficiently, as well as understand the problem better. It also makes me more assured in the correctness of an answer.
In the second semester, I would like to get a good grade and complete all of my assignments, but I would also like to find ways to expand on my classwork to make it more relevant to me. I struggle with relevancy in this class sometimes because I have learned most, if not all of the content in the past. The POWs, thankfully, require more thought, but still rely on skills I have already grasped. Making this change will allow me to take more responsibility for my learning and just enjoy the class more.
Memorable P.O.W.s
I am proud of this POW because it shows how I worked with Caeley, Ava, Amanda, and Nyana on this problem. We had a lot of fun writing out the first 30 or so terms of the sequence, and then dividing and conquering to complete the report. I was frustrated by the solution, as I could not make it perfect, but it was still enjoyable
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I am proud of this POW because, again, I worked on it with Caeley, Ava, Amanda, and Nyana, but also because it has a beautiful, concrete, equation as a solution. We struggled on this problem for a couple days, but that struggle made it all the more satisfying to solve.



Silverton WriteUp
Below is a report on the state of water quality in the Upper Animas River Basin.