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In this final activity, we had to use functions to create a mathematical piece of art using desmos, an online graphing calculator.
The "Mathterpiece" had to be made using all of the functions we have explored this year and as many others that we wanted to explore. |
There were certain criteria and requirements that we had to meet. These include:
1. We must use each of the 4 functions we explored this year (Linear, Quadratic, Square Root, and Absolute Value) at least twice.
2. We must include at least one new type of function; one we haven’t used this year (ie. Cubics, Exponential functions, Rational Functions, Conic sections, Trigonometric functions, Logarithms, and more)
3. The Math-terpiece cannot just be lines and curves; it must also include shaded regions, through the use of inequalities.
4. The final Math-terpiece Gallery Walk: Once completed, your work will be displayed and reviewed by a panel of your peers. You will get points for creativity and complexity, with the highest voted Math-terpiece receiving a fabulous prize!
I decided to recreate the skyline of New York City in the US. The Skyline includes noticeable landmarks like the Freedom Tower and the Brooklyn Bridge. However, I've decided to design my own buildings as well using different functions, creating a futuristic skyline for the city.
For the project, I used mostly linear functions for the buildings. I also used parabolas for the building spires and antennas, as well as the middle cables of the suspension bridge. I used absolute value functions for the X-bracing on two buildings, and I used dquare root functions for the remaining cables of the suspension bridge. For the new functions, I used logarithmic functions for the tallest skyscraper, and I used circle functions for the sun and the moon. I included inequalities for shading the buildings, Hudson River, grass and trees, the sun, and the night. I also included an animation of a day/night cycle, with a rotating circle function for both the sun and the moon, and setting inequalities to change when the sun goes below 0.
My mathterpiece was voted the best in my class, and I won the prize awarded.
Explore the full graph on desmos: https://www.desmos.com/calculator/nv3z3ydxvq