In the final lesson, Zoe and Gisele work to combine their insights from the N-gon Task and their definition of a radian. Through this work, they are able to identify inflection points on their graph and improve their description of their graph. This lesson concludes with a big reveal\u2026 the graph they have constructed and defined important points on is the graph of the sine function!<\/p>\n\n\n\n
The students begin by repeating their reasoning on the circle task by reproducing a graph and their description of the relationship between height and distance traveled by a point.<\/p>\n\n\n\n
Combining what they have learned, Zoe and Gisele discuss the application of radians as a unit for both distance and height on their graph. Then, they identify a point on the circle and label where that point is represented on their graph.<\/p>\n\n\n\n
In this episode, Zoe and Gisele repeat their reasoning through further identification of specific points and the quantitative values on their graph.<\/p>\n\n\n\n
Extending their thinking, Zoe and Gisele use the Pythagorean Theorem to label a tricky point on their graph.<\/p>\n\n\n\n
In conclusion of this unit, Zoe and Gisele reflect on their graph and their graph is revealed to be a function they have seen before! It\u2019s the sine function!<\/p>\n\n\n\n
<\/p>\n\n\n\n