Polynomials and art
The purpose of this project was to dive into the world of
polynomials and how they relate to the real-world. First, we went online and
found any picture that we wanted to use as the core of this project. The next
step was to draw two polynomial functions on top of our image that follow a
general curve present on our image (the curve of an eye or road for example).
After drawing our polynomials, the next step was to find the functions of the
polynomial (in both factored and expanded form) and explain where the zeros are
located on a graph. We also found the local minimum and maximums for each of
our functions. (My work can be found below.) After doing the math, we then
created a new picture that used our polynomial functions as a key design point
(as seen below).
In reflection, I found this project to be quite enjoyable. In the beginning, I had trouble finding a suitable image that both provided ample challenge to myself while not being too challenging. Once that mountain was climbed, things began getting easier... a little too easy.
In about half of the allotted time, I had already finished the math part of the project. So, it was decided that I would also do the challenge extension. Things then began to get harder. For some reason the new math part of my project just wasn't adding up and no matter what I did, I still couldn't get things to work. However at this same period in time, I was doing two other very important projects in other classes, both with challenge extensions of their own. By the time that the end of the project was nearing it's due date, I was still not able to understand what I was doing incorrectly. Eventually, I just excluded the added math portion of my project. To conclude, even though the project was a chaotic combination of effort and ease, I believed I learned an important part about who I am as a learner; although a challenge is good, don't take on too much work at one time.
In reflection, I found this project to be quite enjoyable. In the beginning, I had trouble finding a suitable image that both provided ample challenge to myself while not being too challenging. Once that mountain was climbed, things began getting easier... a little too easy.
In about half of the allotted time, I had already finished the math part of the project. So, it was decided that I would also do the challenge extension. Things then began to get harder. For some reason the new math part of my project just wasn't adding up and no matter what I did, I still couldn't get things to work. However at this same period in time, I was doing two other very important projects in other classes, both with challenge extensions of their own. By the time that the end of the project was nearing it's due date, I was still not able to understand what I was doing incorrectly. Eventually, I just excluded the added math portion of my project. To conclude, even though the project was a chaotic combination of effort and ease, I believed I learned an important part about who I am as a learner; although a challenge is good, don't take on too much work at one time.
polynomialmini-project.pdf | |
File Size: | 88 kb |
File Type: |