No captions Captions Stop the video above first if it is playing.
No captions Captions Stop the video above first if it is playing.
The students begin by exploring an applet to investigate how various transformations of the sine function affect the shape of its graph.
Episode Supports
Students’ Conceptual Challenges
This episode features Mary and Claire exploring various parameters of a sinusoidal function. You might choose to spend some time discussing what a parameter is and allowing students to experiment with these parameters using the applet. Parameters can be confusing for students, as they are typically represented by letters that look like unknowns, independent variables, and dependent variables. However, parameters are typically fixed for a given instance of a function or context and do not vary once set.
Focus Questions
For use in a classroom, pause the video and ask this question:
[Pause the video at 1:20] Claire says that A is the radius. Can you elaborate on what that means?
Supporting Dialogue
[Pause the video at 0:55] That is some equation! The letters A, P, h, and k are called parameters, and they affect various aspects of the function, such as the height or where the function is graphed along the x-axis. Talk with a partner to share your ideas about how each parameter affects the graph of the function. If possible, use the applet as you explore and discuss your ideas.
Captions
