ADVANCED MATH DECISION MAKING PORTFOLIO EDDIE SCHWARTZ 3B
TABLE OF CONTENTS
This portfolio reflects the work I have completed this year in Advanced Math Decision Making. This course is unlike many math classes offered at Grady High School. The class emphasizes the application of math skills in everyday life. As a student I have learned to use geometry, trigonometry, statistics, algebra, and various other math principles while solving problems in everyday situations. Through out the year we have been used our knowledge of mathematics in different scenarios which require critical thinking and problem solving. This portfolio displays my growth as a student throughout the year.
I was born on August 2nd, 1995 in Atlanta, Georgia. I had a Mommy and a Daddy, my older brothers name was Coleman. At the age of three I moved to Durham, North Carolina for my moms job as a banker. After I finished elementary school our family made the decision to move back to Atlanta. I was enrolled at Inman while my family looked for a house in the area. At Inman I made a lot of really great friends, which I still have to this day. During middle school I taught myself how to play bass and guitar, I loved playing in a band with my friends. As my musical compulsion settled down, I decided I needed something new to focus on. There a lot of reasons I decided to start skating, it was something I had always dreamed of doing and it I was drawn to the abstract self-‐expression of the sport. Teaching myself to skate was one of the hardest challenges I have overcome. I spent months trying to Ollie before finally figuring it out, after learning that first trick I was hooked. I began to feel this sense of steady progression, which I still feel every time I learn something new.
Throughout high school skating grew into a huge part of my everyday life, at times it was all I could think about. Without skating I have no clue how I would’ve made it through high school. Whenever I was in a stressful situation, such as my parents divorce in tenth grade, I would always be able to clear my head by going skating. When the city of Atlanta reopened Fourth Ward Skate Park, my life changed forever. Until this point, my friends and I only skated street and flat ground. I was in awe when I saw the bowl for the first time. It just seemed like nothing in the world could compare to the feeling of doing an air on a huge ramp. I started skating bowls everyday; it wasn’t too long before I was begging my mom to let me build a Half Pipe. It took about two years of persuading but I finally convinced her last summer. I began to draw out the ramp plan, building a half pipe requires a lot more math precession than I had realized. I measured out thirty by ten feet in my front yard as estimation, I eventually changed this twenty-‐five by eight feet. I began to calculate how many two by fours I would need for the frame, it was important to be precise while working on a budget. By putting a two by four every 7.5 inches down the frame, I was able to create a stable frame while only using 35 two by fours. My next challenge was the sides of the quarter pipes, these pieces of wood support a lot of pressure so I decided to use a highly treated six ply sheet of plywood. Cutting a perfect transition of the rectangular sheet of plywood is possibly the most vital part of building a ramp. By drawing out my quarter pipe with a long radius and base I was able to create a smooth transition. If the transition were inaccurate then ramp would become vertical, if the ramp didn’t function I would have wasted about seven hundred dollars so it was pretty important. Once the
skeleton of the ramp was complete I started to think about how it should be layered. While running low on money I decided to do the first layer with 4 ply non-‐treated plywood. This generic plywood helped me strengthen the surface while saving money for a stronger top layer. I spent hours in home depot this summer trying to find the perfect wood; I eventually found a treated wood called sanded maple. The wood was weatherproof and very smooth, the low friction made the ramp pristine. After weeks of sketching, planning and building, I had finally accomplished my goal; I would have never been able to do so without my math skills. It was crucial to have every measurement correct down to the nearest decimal. Building my ramp allowed me to use math in an everyday situation, which led me to fulfill a lifelong dream.
In this assignment we analyzed indices using two groups of data. We learned that the weighted average of a set of numbers could greatly differ the indices value. We were able to apply this to our class by analyzing two different grading systems. I chose this assignment because it can easily be applied to any grading system for a class. The grading systems were assigned different values to measures such as tests, homework, finals, and participation. System two had noticeably higher percentile for test grades, I learned that this was the
viable choice for me because I test well. By exploring this further our group was able to make a more efficient grading system by manipulating the weights.
We continued to build on to our knowledge of indices, in this activity worked with a trend called the FCI (fan cost index). We compared and analyzed the FCI of several professional sports; by factoring in Inflation Rates we were able to calculate future FCI Averages. I chose this activity because it helped us build upon our knowledge of Indices in real life situations. We learned that football was the most popular sport; it had the highest FCI rate. We also learned that the MLB had the lowest FCI, it was useful to be able to apply indices and inflation while making these comparisons.
Our class covered a long unit on determining probabilities; I chose this worksheet because it displays a real life application of probability. My father has worked as restaurant manager for a large part of my life so I found this assignment very relevant to my everyday life. We analyzed a tree diagram displaying various combinations of “The All American Breakfast.” We then analyzed the probabilities of a certain combination being ordered; we learned that each combination is equally likely and when added the sums will equal one hundred percent. This assignment helped me learn how to organize probabilities; I now understand how to appropriately use an Area Model and or Tree Diagram.
This activity applied recursion in an exponential growth within a model. I chose this assignment because it taught me how to calculate an interest rate. Without learning this information I would be unable to predict how much a student loan will coast to pay off. In our assignment, Derrick’s interest grows at an exponential rate for every dollar he earns. Our group worked to predict how long it would take Derrick to save up if he increased his savings at a constant rate of fifty dollars per month. Afterwards we wrote a recursive rule for the function, the recursive rule could easily be applied to calculating interest and debt.
Self Evaluation Part One I would give my self a 4/5 while rating my effort and work ethic. Though out the year we were able to work together in groups to solve problems with critical thinking. Working in a group allowed us to learn from our mistakes to ensure an understanding of the material. I was able to achieve full credit on a majority of assignments by learning from my group members. I found that a strong work ethic is crucial to group work, if one person slacks off then so will the rest of the group. There were many times where I took initiative in keeping the group on task and focused. Reliability was also important; my group members knew they could count on me to pull my own weight. In assignments such as applying indices to weighted sums and averages our group worked together manipulating the weights to create a more viable grading system. I thought it was highly applicable to real life that we worked together to solve problems using our combined knowledge of math concepts.
Self Evaluation Part Two
I would like to rate myself a 5/5 on level of understanding of the concepts that were taught. Advanced Math Decision Making showed me how to apply general math skills to everyday life such as organizing probabilities or how to compare and manipulate weighted indices. I was able to learn a lot from activities as well as members of my group. These assignments helped my build upon my critical think and problem solving. By obtaining a level of understanding of the concepts through these activities I was always well prepared to test. We did multiple activities on each unit; this made me feel well rehearsed on the concepts, which definitely impacted my test grades. I believe that my assignments, tests, and quizzes reflect a 5/5 level of understanding.
This concludes my Advanced Math Decision Making Portfolio; it should display a high level of understanding the concepts taught and how to apply them to everyday life. Through out the year I was able to work with a group sharing information and learning from peers. We were able to think critically to solve problems, which were applicable to the real word. By applying a general knowledge of Trig, Algebra, Geometry, and Statistics we were able to solve a variety of scenarios. The work presented reflects a flawless understand and application of these concepts. It should also display my steady growth as a student through out the year. I was able to obtain high grades by learning from my mistakes and working with peers. Advanced Math Decision Making has taught me how to relate the concepts I’ve learned to real life scenarios such of calculating interest or organizing probability rates.