In this lesson, Zoe and Gisele begin working on the N-gon Task sequence. Specifically, they explore how a point\u2019s height varies as a function of the distance traveled for a point moving counterclockwise around a square. During this lesson, they manage changes to the varying quantities, discuss starting assumptions, and create a method for coordinating segments of their graph with segments of the shape.<\/p>\n\n\n\n
In this episode, Zoe and Gisel make sense of the N-gon Task sequence. They work to create a graph for a point, A, as it travels counterclockwise around a square with side length 10 that relates the height of the point as a function of its distance traveled. <\/p>\n\n\n\n
Zoe and Gisele repeat their reasoning, this time dealing with a point traveling counterclockwise around a square with side length 7. In this episode, Zoe and Gisele explore an implicit assumption they made on their first graph.<\/p>\n\n\n\n
Having created two similar graphs for squares of different side lengths, Zoe and Gisele describe the differences and how those differences are related to their starting assumptions.<\/p>\n\n\n\n
Having chosen a convention for where their graphs should start going forward, Zoe and Gisele repeat their reasoning on one more square task to solidify their thinking.<\/p>\n\n\n\n
After creating several graphs that relate the height as a function of distance for a point, A, traveling counterclockwise around a square of varying side lengths, Zoe and Gisele are ready to generalize their graph.<\/p>\n\n\n\n