I still have to build out the progression for the full version of the lesson, but this activity is meant to simulate graphing by hand.
Students must graph the first 5 points of a periodic with reasonable accuracy. I calculated the standard deviation of the distances of the first 5 points of the student graph and the randomly generated function. Depending on how low the standard deviation is, students are awarded 0 to 5 stars. A minimum of 3 stars is needed to “complete” the slide. Using standard deviations of distances was a new way of thinking about a correctness checker since, there must be reasonable error for students to estimate the graph’s period.
I also found a way to give the appearance of the graph “resetting” to the parent function when students have to try again. The reset works by capturing the last value of the different features and offsetting it for the next round.