The purpose of this lesson is for students to connect their previous work with circles and distance in the coordinate plane. First, students plot as many points as they can a set distance away from a given point in order to observe the shape of the plotted points. 

Next, students categorize points according to their distance from the origin and begin working with sets of points that are the same distance from a central point. As students find additional points that lie on a circle, they are using repeated reasoning to generalize (MP8) that the set of points a given distance from a point creates a circle.

Finally, students reason in the other direction by recognizing that a point cannot lie on a circle if its distance away from the central point is not the same as the radius. This reasoning connects distance from a central point and the radius of a circle in a robust way.