One of my favorite course projects is the Graphic Art Project. Students will design an image on graph paper, write all the equations for it, and type them into Desmos. To intro this assignment, I have students complete my own version of the amazing Desmos Des-man activity.
The main reason I start by having all students create the same face is because this is a review activity for us. At this point in the year, students have learned to write equations for linear, absolute value, and quadratic equations. They have also studied domain and range restrictions. I want them to practice these skills, and not just guess/play with the sliders/numbers to see how the equations transform. Each student is given this sheet to show any work they did to find the equations:
The Teacher Desmos interface allows me to see very quickly who gets it and who needs help (see above). Some students will play around and choose their own colors, or add additional inequalities. When they are all done, we move on to Part 2, and I let them create their own designs. This year we are trying something special for the final product and it is still in the works… so, to be continued!