Assignments

Megan Stine

Title	Source	Description
Turtle Crossing	Desmos	Students can draw functions representing a turtle's distance over time while trying to avoid obstacles.Good practice for interpreting basic functions.
Whammy Awards	NLVM- Requires Java	For data analytics and probability. How does using a different voting method result in contradictory outcomes?
Sequence of Transformations	GeoGebra	Use a combination of translation, reflection, and rotation to transform a shape to another area. Also has the challenge of not touching a barrier in the process.
Ripple Tank	falstad	See how waves interact with one another in various scenarios! Use your mouse to add your own waves. Also see the 3-D version as well.
Dot Product	falstad	Visually see how the dot product of two vectors respresents the projection of one onto the other.

Title	Source	Description
Donut or Mug?	Wikipedia GIF	This GIF would peak students interest in topology and give an example of homotopy which we could discuss.
Stretch It: Homotopy	GeoGebra	To understand the idea of manipulating a shape without changing its fundementals, we would learn about homotopy. This applet lets them see the transition between two curves, how a fixed point doesn't change relative position, and how there are functions connected with the tranfromations.
How Knot Theory Could Save Your Life	Youtube	A video by Veritasium introducing the foundations of Knot Theory. During the video, it goes through methods of proofs, 3 generalized moves, and applications of the topic.
Untangle a Trefoil Knot	GeoGebra	This applet would have two purposes: first for students to rotate and visualize the common trefoil knot from different angle and second once they start stretching and untangling it, they can argue how this program is not an example of homotopy as the rope can go through itself.
Tricolor Your Own Random 3-D Knot	GeoGebra	3-d manipulative of knots. Starts with the trefoil knot, which can be rotated but not stretched. Can customize into a new knot by changing several parameters using a slider. Can also randomly create a new knot.