## Cover Letter of The Pit And The Pendulum

**The reason I chose this peace of work was that I think it was my best cover letter I've done all year and some of the work I've done all year. I also choose it because it show's some of the math concepts we've learned this year.**

Cover Letter

I believe in this area I earned a 26 out of 30. In this unit we read a passage from “The Pit And The Pendulum” where a person is strapped down and a pendulum swinging above them. They describe how they escaped but not how long they took. What we wanted to find out if he could actually escape in the twelve swings before he got killed. In the end we conclude that he had around 65 seconds to escape and we thought that was enough time to escape the bonds holding him down. The way we came to the conclusion that it would take 65 seconds before he was killed was that we did multiple tests on smaller pendulums and came up with an equation that could calculate how long it would take for bigger pendulums to swing 12 times. When we plugged 30 feet in inches into the equation we got around 65 second. Another way we found it was with graphing it on our scientific calculators. The way we learned to use these calculators was In the project “Curve Fitting (The Curve Of Best fit)”. In this project we found the mpg of a VW Jetta at different speeds by graphing it on our calculators. This helped us better understand how to graph data points on our calculators in turn helping us to know what to do in the final project.

Effort and Growth

In this area I think I deserve a 27 out of 30. In this unit I put in a lot of effort learning new material and technology. Some of this material was relearning different types of graphs and what equations you had to put to get the graphs. But the biggest growth this unit was learning how to operate a scientific calculator and use the graph data points to find the curve of best fit for them. I also put forth more effort than I had in earlier units such as… Doing my homework on time, and also trying to understand how to use the calculators even though I was struggling with it. The way I grew as a student was learning that you just gotta get it done in class so you don't have to do it at home. The piece that I think reflects my growth the most is “The Pit and the Pendulum: Final Conclusions” where we were given class found data points that we had to find the equation for the curve of best fit. The equation I found was √(1.6x)-2.1=f(x). The only way I could have found the answer was with the knowledge I learned by persevering and trying harder than I had in previous units.

Curiosity and Extension Question

A group of students are are conducting an experiment where the take an IQ test before and after playing Fortnite for different periods of time. They found that the longer time spent playing Fortnite the worse their scores would be. They found with zero hours of playing Fortnite the average IQ was 84. After one hour the IQ went down to 79. Then after two hours the IQ was 72. Finally after three hours the IQ was at 63. Whats the curve that matches time played and IQ. For this section I think I should get a 9 out of 10. My question was funny and interesting because it tackled how kids play video games and the problem with it. The question is also very specific and answerable by laying out all the information you need to solve it. As you can see I have learned a lot this unit and will try to continue learning as much as possible.

I believe in this area I earned a 26 out of 30. In this unit we read a passage from “The Pit And The Pendulum” where a person is strapped down and a pendulum swinging above them. They describe how they escaped but not how long they took. What we wanted to find out if he could actually escape in the twelve swings before he got killed. In the end we conclude that he had around 65 seconds to escape and we thought that was enough time to escape the bonds holding him down. The way we came to the conclusion that it would take 65 seconds before he was killed was that we did multiple tests on smaller pendulums and came up with an equation that could calculate how long it would take for bigger pendulums to swing 12 times. When we plugged 30 feet in inches into the equation we got around 65 second. Another way we found it was with graphing it on our scientific calculators. The way we learned to use these calculators was In the project “Curve Fitting (The Curve Of Best fit)”. In this project we found the mpg of a VW Jetta at different speeds by graphing it on our calculators. This helped us better understand how to graph data points on our calculators in turn helping us to know what to do in the final project.

Effort and Growth

In this area I think I deserve a 27 out of 30. In this unit I put in a lot of effort learning new material and technology. Some of this material was relearning different types of graphs and what equations you had to put to get the graphs. But the biggest growth this unit was learning how to operate a scientific calculator and use the graph data points to find the curve of best fit for them. I also put forth more effort than I had in earlier units such as… Doing my homework on time, and also trying to understand how to use the calculators even though I was struggling with it. The way I grew as a student was learning that you just gotta get it done in class so you don't have to do it at home. The piece that I think reflects my growth the most is “The Pit and the Pendulum: Final Conclusions” where we were given class found data points that we had to find the equation for the curve of best fit. The equation I found was √(1.6x)-2.1=f(x). The only way I could have found the answer was with the knowledge I learned by persevering and trying harder than I had in previous units.

Curiosity and Extension Question

A group of students are are conducting an experiment where the take an IQ test before and after playing Fortnite for different periods of time. They found that the longer time spent playing Fortnite the worse their scores would be. They found with zero hours of playing Fortnite the average IQ was 84. After one hour the IQ went down to 79. Then after two hours the IQ was 72. Finally after three hours the IQ was at 63. Whats the curve that matches time played and IQ. For this section I think I should get a 9 out of 10. My question was funny and interesting because it tackled how kids play video games and the problem with it. The question is also very specific and answerable by laying out all the information you need to solve it. As you can see I have learned a lot this unit and will try to continue learning as much as possible.