## Ping Pong Cannon!

project_description_launcher.docx | |

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**Project Reflection:**

I enjoyed greatly doing my research project, I think because it was way out of the box and something I have never done before . Ive never made a ping pong ball launcher, the closest thing being helping my dad make a potato cannon when I was young. What I didn't like about it was having a partner, although he was a great help I think I would have had a better time doing it myself and planning it my way. The biggest thing I would change is the requirements as I feel like they weren't quite rigorous enough for my taste at least. I think that overall the project had an amazing layout and flow to it and just let us do what we pleased. I learned a lot more about drag, Bernoulli's equation, velocity and kinetic energy.

**Junior Year Reflection:**

I think that I met my goal of being more active and attentive during class, I was trying my best to be part of the class and tried my best to understand each subject that Hannah presented. I am very happy with the way that my actions have reflected my learning and I have gained much from it. I am much more capable of being able to learn math and be part of the class, and I am much more comfortable with math in and of itself after just adopting a few new strategies of paying attention and being part of the class. Also, I feel like I was much more able to balance out this class with other classes. I certainly think this class has prepared me for math 4 in senior year and I am excited to see ho much of a challenge it will be, I hope it has prepared me for engineering and other electives I may take.

pow_7.docx | |

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## Semester Reflection

I didn't necessarily make any goals for myself for this semester, but I am proud of myself that I feel I grasped a majority of the subjects we went over this semester. What I do feel I should've done better this semester was listening during class, although I didnt talk to my friends very much I didnt feel I needed to pay attention, but I deeply regret that decision. I changed significantly since the beggining of this semester as I changed my mindset about this math class, and started to become a better class contributer, but next semester I hope to change more. I hope to be more attentive during class and actively listen and participate.

akos_varga_lance_aguilar-animas_river_water_quality.pdf | |

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I found the following POWs to be the most informative and challenging POWs we've had, and since I am confident in my process, not necessarily the answer, I decided to add them to my DP. I also found these enjoyable because they made the most sense to me.

**POW #3**

Planning the Platforms

Problem Statement: You must make 2 equations, one to determine the tallest height of a series of platforms, one for determining you added all the lengths of the total number of platforms.

Let start this by using variables, the difference of height is P and the height of the first platform is H the number of the platform after the first platform is Q. F is the total length of fabric needed. T is the Total number of platforms:

QP+H

Q=3 P=2 H1 = 7

q=PH+(TP-1)

F=TH+(TP-1)

In this POW, Kevin has to decide how many platforms we need to make and how tall the first platform will be, the height difference between platforms is a constant and does not change between each platform. Camilia is charged with building these platforms and has to hang a piece of ribbon from the top of each platform, the ribbon is equal in length to the platform it is hanging from. Our job is to make two equations that can tell Camilia all of the data she needs.

To first start this POW, I started by collaborating with peers and we came to a consensus that q=PH+(TP-1)fis the best equation that we could make with the information we had. The first thing we needed to know was the height of any platform, so we will use the variables with P being the height difference between platforms, H being the height of the first platform, and Q being the number of platforms after 1. We then created the formula QP+H, which allows us to find the height of any platform. Our next mission was to create the equation to help figure out the length of fabric we need to stretch from each platform to the next, to do that we added two more variables to the equation, which gave us the equation q=PH+(TP-1)f .

I believe I deserve a B, or 87, as I completely grasped the process of making the equations and helped my peers when needed and necessary. Although I want to be more independent on the POWs in the future, I think I did my hardest on this and found it to be easier to understand than most POWs.

POW #4

Rat Populations

A pair of mice, one male one female, board a ship and get off a ship on an island in December. The first female gives birth on January 1st, the females give birth to six babies every 40 days, and there are 3 males and 3 females born in each litter. Each female on the island will produce its first litter within 120 days and then continue to give birth to a litter of 6 every 40 days. No rats will die within the first year as there are no natural predators and plenty of food. What are the total number of rats are present on the island after one year, on January 1st?

I started this by trying to find an efficient way of organizing the number of rats, as simply counting, I found, became far too brain straining and made me want to quit. So I decided that I would make columns, and first tried to find the total number of breedings that occur, and the different types of rats, such as the original breeders, 40 day olds, 80 day olds as they are still unable to breed, and adults. I found there to be 8 total breedings in a year. So I made 8 rows and 4 columns:

I found this to be the most effective method as it made it much more organized, rather than trying to count all the rats in one formula or equation. I found there to be 976 rats on the 1st of January the next year, because 146 + 258 +132 + 440 = 976. I don't think this is the correct answer but showed I know how to start organizing something complicated like this.

I believe I deserve an A on this POW as I found this answer by myself, which was my goal on my previous portfolio. I did my absolute best and tried it with multiple methods that I decided not to include.

I believe I deserve an A on this POW as I found this answer by myself, which was my goal on my previous portfolio. I did my absolute best and tried it with multiple methods that I decided not to include.