## The Pit and the Pendulum Reflection

In this assignment, it was about a man who was tied back in a pit and could not escape. It was during the time of the Spanish inquisition. The central problem is how much time the man has to try and escape. The pendulum is swinging back and forth, closing in on him. I used several skills to solve this problem. The first thing I did was I used a protractor that had a string tied to a metal ring that was tied to the protractor. We created our own mini pendulums. I worked with a partner and I had the mini pendulum swing from a certain angle and the other person would time it on their phone. From these calculations we got, we filled out spreadsheets in google sheets. The variables we did were the time, length, and angle. From this spreadsheet, I calculated the Average.
Another thing that happened was, on the final pendulum prediction, we took the numbers we got from the "length's of Pendulum" spreadsheet and put them in a table in a calculating app called DESMOS. From the table it calculated a bunch of dots which I created a formula so a line would match up on those dots. I finally created an answer from solving what the prediction of a 30 foot pendulum would be, which is 6.44. I than did 6.44 x 12 swings which is 77.2. I than thought that a minute is 60 seconds and 77.2 - 60 which is 17.2 seconds. So the man in the story does have time to escape. If the answer would have been less than a minute, he could not have escaped. He has more than a minute to escape. That would be the final solution I got to wrapping up this assignment. |

## Alice in Wonderland Unit Reflection

Alice in Wonderland has always been a fun story for kids. I love watching movies and reading books. It made me very happy that my math class and I were learning about exponents through an Alice and Wonderland story. The story starts off where Alice needs to get through a door, but she is too small. She starts drinking a beverage that makes her much smaller and she is curious about. She than eats the cake and grows taller as she is eating it. Soon her head hits the roof of the room and the cake has been finished. The purpose of the unit is to find how big or how small she was to start with. Every ounce of cake she eats, her height doubles and every ounce of beverage she drinks, her height is cut in half. In the problems, her base height is always 2. If she were to eat 5 ounces, we would put the exponent like 2 to the 5th power.

In this unit, we were learning about exponents. We covered negative exponents and fraction exponents. Logarithms were something else we did, but problem solving and deep thinking were the most important thing we covered. This math content really got me thinking and working. I used a lot of problem solving and when someone teaches me math in a fun way, that helps me learn even better.

In this unit, we were learning about exponents. We covered negative exponents and fraction exponents. Logarithms were something else we did, but problem solving and deep thinking were the most important thing we covered. This math content really got me thinking and working. I used a lot of problem solving and when someone teaches me math in a fun way, that helps me learn even better.