INITIAL QUESTION
How does y=16-x² look like graphed?
PROCESS
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To graph this equation, my group and I solved for the (x,y) points and then we created a table. Once we graphed the equation we were then able to locate where all the four corners of the maximum rectangle were. The problem statement said that one of the corners had to be on the plotted parabola, and theres only 3 possible points that the corner can be on: (1,15),
(2,15) and (3,7). Using those 3 points we created the 3 rectangles that could fit inside the parabola on the positive axis. We then created a table where we found the area of those 3 triangles. The largest area we found was 24 with x being 2 and y being 12. Once we found the maximum area, we then head into the hundreds decimals and the thousands. For X, we tried 2.1, 2.2, 2.3 and so on. For the largest area in hundreds, we got 24.63. To find the maximum perimeter we had to do the same thing but our equation for that was 2x+2(16-X^2), and the maximum perimeter that was possible was when x was 0.5 and the perimeter was 32.5. |
FINAL ANSWER
Once we found the maximum area, we then head into the hundreds decimals and the thousands. For X, we tried 2.1, 2.2, 2.3 and so on. For the largest area in hundreds, we got 24.63 (we also went into the thousands place like 2.32, although it is not much bigger).
GROUP/INDIVIDUAL TEST
When we took the quiz as a group, it was a little unexpected. Everything I heard was confusing, we knew what was suppose to be done but there were little mistakes we came across that caused us to keep trying and trying. I think our group was just thinking about it way to much but we got to a point where everthing became so easy andeveryone helped each other. In the individual I was so confident because I knew how to do it, the group one helped mepracticed in some way for the individual. The good thing was, we all communicated very well in what we were. doing to each other or what we didn't understand. We really weren't afraid to share our ideas and that helped me a lot as a individual student.
REFLECTION
I think what really pushed my thinking was the group next to me that helped me with every single thing I wondered about. we had to solve the same thing and were constantly working together because some of my peers knew how to do things I didn't, and I knew how to do things that they didn't. The most I got out of it is being open to different ideas and listening to peoples ideas because if you over think things it won't turn out good. I think I would grade myself and B because I feel like in class I always tried sometimes but I didnt gave my 100% I showed more interest towards the end of the problem.