Activity 1 Math 211
Main Task: Create a piece of mathematical art
Imagine that you are an artist. Functions are your medium and the coordinate plane is your canvas.
I'd like you to focus on using a broad range of functions (and even non-functions) purposefully. Try to include the different types of algebraic and transcendental functions that we've talked about so far.
Some helpful hints:
1. Graphing functions on restricted domains / ranges will be important. You can do this by adding a restriction in an "if" statement.
2. Adding some animation via sliders can liven things up. It also shows off your knowledge of function transformations! You can make a new slider by typing something like "b=4" into a new cell and then editing it's properties from there. Then, just use the letter b somewhere in your functions.
3. You can "color things in" if you'd like by using inequalities.
As you work, I hope that you will
- Gain experience in utilizing Geogebra (as it will be a helpful learning tool throughout this course),
- Apply your knowledge of functions in a creative pursuit, and
- Collaborate and support the learning of others around you.
When we share, either at the end of class today or sometime tomorrow, I'll ask you the following questions: 1. What was your favorite use of an algebraic function in your art? 2. What was your favorite transcendental function? 3. How did you incorporate function transformations into your artwork?