Mathematical Model of Me
Benchmark #1:
Benchmark #2:
Element 1:
Element 2:
Element 3:
Element 4:
Equations for some lines:
Points: (-4,-4), (-8,-8)
Slope: 1
Equation: y + 4 = 1 (x + 4)
Points: (-8,-8), (-12,-12)
Slope: 1
Equation: y + 8 = 1 (x + 8)
Points: (-12,-12), (-20,-18)
Slope: 3/4
Equation: y + 12 = 3/4 (x + 12)
Points: (-20,-18), (-26,-22)
Slope: 2/3
Equation: y + 18 = 2/3 (x + 20)
Points: (-26,-22), (-28,-24)
Slope: 1
Equation: y = 2x + 31
Points: (-28,-24), (-26,-25)
Slope: 1
Equation: y + 24 = 1 (x + 28)
Points: (-21,-24), (-22,-22)
Slope: -2
Equation: y + 24 = -2 (x + 21)
Points: (-22,-22), (-18,-20)
Slope: 1/2
Equation: y = 1/2x -11
Points: (-18,-20), (-14,-19)
Slope: 1/4
Equation: y + 20 = 1/4 (x+18)
Points: (-14,-19), (-11,-16)
Slope: 1
Equation: y + 16 = 1 (x + 11)
Points: (-2,-10), (1,-8)
Slope: 2/3
Equation: y + 10 = 2/3 (x + 2)
Points: (1,-8), (4,-4)
Slope: 4/3
Equation: y = 4/3x +5
Points: (4,-4), (8,-2)
Slope: 1/2
Equation: y = 1/2x + 12
Points: (8,-2), (11,0)
Slope: 2/3
Equation: y + 2 = 2/3 (x - 8)
Points: (14,2), (18,6)
Slope: 1
Equation: y = 1x - 12
Points: (18,6), (19, 10)
Slope: 4
Equation: y - 6 = 4 (x - 18)
Points: (0,8), (4,12)
Slope: 1
Equation: y = 1x +8
Points: (-4,-4), (-8,-8)
Slope: 1
Equation: y + 4 = 1 (x + 4)
Points: (-8,-8), (-12,-12)
Slope: 1
Equation: y + 8 = 1 (x + 8)
Points: (-12,-12), (-20,-18)
Slope: 3/4
Equation: y + 12 = 3/4 (x + 12)
Points: (-20,-18), (-26,-22)
Slope: 2/3
Equation: y + 18 = 2/3 (x + 20)
Points: (-26,-22), (-28,-24)
Slope: 1
Equation: y = 2x + 31
Points: (-28,-24), (-26,-25)
Slope: 1
Equation: y + 24 = 1 (x + 28)
Points: (-21,-24), (-22,-22)
Slope: -2
Equation: y + 24 = -2 (x + 21)
Points: (-22,-22), (-18,-20)
Slope: 1/2
Equation: y = 1/2x -11
Points: (-18,-20), (-14,-19)
Slope: 1/4
Equation: y + 20 = 1/4 (x+18)
Points: (-14,-19), (-11,-16)
Slope: 1
Equation: y + 16 = 1 (x + 11)
Points: (-2,-10), (1,-8)
Slope: 2/3
Equation: y + 10 = 2/3 (x + 2)
Points: (1,-8), (4,-4)
Slope: 4/3
Equation: y = 4/3x +5
Points: (4,-4), (8,-2)
Slope: 1/2
Equation: y = 1/2x + 12
Points: (8,-2), (11,0)
Slope: 2/3
Equation: y + 2 = 2/3 (x - 8)
Points: (14,2), (18,6)
Slope: 1
Equation: y = 1x - 12
Points: (18,6), (19, 10)
Slope: 4
Equation: y - 6 = 4 (x - 18)
Points: (0,8), (4,12)
Slope: 1
Equation: y = 1x +8
Benchmark #3:
Benchmark #5:
Reflection:
- How can mathematical "points" be used to model complex imagery?
Mathematical points can be used to model complex imagery because you can make "dot to dot" pictures that are very exact, getting the points extremely accurate to the points on the original picture. There are different techniques to making imagery accurate through mathematical points, like using short lines to make curves.
- How does this image reflect who you are?
My image reflects who I am because I am a dancer, and the girl in the picture is a dancer doing a leap. My final product is drawn on a jazz shoe, which the type of shoe you wear for the style of jazz, which is my favorite style.
- What were some highs and lows you experienced during this project?
Some of my highs from this project were being able to create any image I wanted so that it reflected me, and I also liked that we had plenty of time to work on it to make it a quality final product. I didn't have many lows throughout this project, but I did struggle in trying to figure out what I wanted to do for my final embellished model.
- Reflect on one of the Habits of a Mathematician you have experienced through this process.
One of the Habits of a Mathematician I experienced during this project was staying organized. Organization was very important in this project because I had to keep track of all the elements, and where all the points were. If I didn't keep my papers and graphs organized, I got all my elements and points mixed together, which confused me when trying to graph it again. I did my best to stay organized, and based on this experience, I will definitely work hard on this Habit of a Mathematician in future projects.
- How can mathematical "points" be used to model complex imagery?
Mathematical points can be used to model complex imagery because you can make "dot to dot" pictures that are very exact, getting the points extremely accurate to the points on the original picture. There are different techniques to making imagery accurate through mathematical points, like using short lines to make curves.
- How does this image reflect who you are?
My image reflects who I am because I am a dancer, and the girl in the picture is a dancer doing a leap. My final product is drawn on a jazz shoe, which the type of shoe you wear for the style of jazz, which is my favorite style.
- What were some highs and lows you experienced during this project?
Some of my highs from this project were being able to create any image I wanted so that it reflected me, and I also liked that we had plenty of time to work on it to make it a quality final product. I didn't have many lows throughout this project, but I did struggle in trying to figure out what I wanted to do for my final embellished model.
- Reflect on one of the Habits of a Mathematician you have experienced through this process.
One of the Habits of a Mathematician I experienced during this project was staying organized. Organization was very important in this project because I had to keep track of all the elements, and where all the points were. If I didn't keep my papers and graphs organized, I got all my elements and points mixed together, which confused me when trying to graph it again. I did my best to stay organized, and based on this experience, I will definitely work hard on this Habit of a Mathematician in future projects.