Problem Statement
A rectangle has one corner on the graph of y=16-x^2, another at the origin, a third on the positive y axis, and the fourth on the positive x axis. If the area of the rectangle is a function of x, what value of x yields the largest area for the rectangle
Process
Solution
Group test
To prepare for the group test my group and I decided to just change the number and go through the whole thing so that we can see where our group needed help and we figured that we should just go through the whole things. I feel that half of my group didn’t really do anything but they did try to understand sometimes. I don’t feel like they were asking enough questions to be able to understand what was going on on why we did certain things. I feel like I really did understand what was going on in this unit and you can see that in how I performed in the individual test. I feel like the way that we practiced made it easier for us to go through and perform well in both of the tests. But I think that the group quiz was just more of a way of teaching the problem then actually everyone working together to solve it.
Evaluation and Reflection
During this unit the part that pushed my thinking the most was in the beginning and trying to ask all of these questions to try to figure out what was even going on. But once we figured that out the only part that pushed my thinking was coming up with all of the equations because I’m used to them just being there and it wasn’t as hard as I always make it out to be. I got the most out of my group because even though sometimes they didn’t understand what was going on they would ask questions and make it so that I could show them what was going on so we both learned a little from it. I think that I deserve an A because I really did understand this problem and it was something that sort of came easy to me but teaching my group is something that I don’t usually do so it was a good change and made me realize how much of this unit I really did understand.