Culmination of the N-Gon Tasks
Zoe and Gisele work to describe what happens to a polygon, and its related graph, when the number of sides goes to infinity.
Episode 1: Making Sense
In this episode, Zoe and Gisele make sense of an infinite sided polygon.
Episode 2: Exploring
Zoe and Gisele construct a graph that relates the height of a point, A, as a function of its distance traveled as A travels counterclockwise around a circle.
Episode 3: Exploring
The students work to describe how they know their graph accurately captures the relationship between height and distance.
Episode 4: Reflecting
Zoe and Gisele hone their language about the change that is happening continuously for the simultaneously varying quantities of height and distance.