I have seen come into Mathnasium with projects like these. I think it would be helpful to have a work of art chosen rather than just telling them to draw anything. I also didn't love the idea of them checking boxes for types of equations to include. This is more general and I like it a lot.
This is one of my favorite ideas from one of my favorite bloggers. I think it should be the foundation for every new topic that we approach in a school year. This way math becomes the solution, not just the hoop to jump though. But students get interested in answering their own questions.
This is one of the most relevant applications that I have found to present to students. There are TED talks about it, but I like this version for students to approach and play with the animation by writing math equations.
Hitters only have 125 milliseconds to gauge the average Major League fastball - less than the blink of an eye. Which begs the question: how is it humanly possible?