Digital Explorations Project

Calculated Skiing

This project is all about showing how different sinusoidal and cosine functions behave. With varying amplitudes and periods, each function is plotted out by the skier. Each time a function is clicked, the skier shows how that function looks like and a graph with labeled points is shown to demonstrate where the amplitude is and where the halfway marks of the function are. To be able to achieve this, first the skier was made, and then for each function the skier was imported and made to have different animations according to the parameters of the function. Since this project was made to be instructive while also entertaining, it does have limited interactive portions but it does help to clarify certain aspects of calculus and graphs. It also shows how the graph itself does not need to have numbers, but can also be labeled with symbols such as pi. Finally, this project, Calculated Skiing, has its major focus on sine and cosine functions. To show the differences, three functions are slightly different from each other to be able to see what numbers are affecting what part of the graph, such as amplitude change and period change. The skier resets itself after each run, although cosine and sine functions do not stop with respect to time.