This presentation is based on work supported by the National Science Foundation under NCSU IUSE award 1712280. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the presenters and do not necessarily reflect the views of the National Science Foundation.
|Karen Hollebrands, North Carolina State University||Al Cuoco, Education Development Center|
|Allison McCulloch, UNC-Charlotte||Roger Howe, Yale University & Texas A&M|
|Scott Steketee, 21PSTEM||Rachael Kenney, Purdue University|
|Daniel Scher, 21PSTEM||Brian Lawler, Kennesaw University|
|Ricardo Nemirovsky, Manchester Metropolitan University|
|Joshua Taton, Philadelphia School District|
1 Which One Doesn’t Belong? (Static)
Which graph doesn't belong with the other three?
For each graph, find a way that it’s different from the others.
2 Which One Doesn’t Belong? (Dynamic)
For each function below, drag independent variable `x` to see how the dependent variable moves.
Which function doesn't belong with the other three?
For each function, find a way that its behavior is different from the others.
3 Which One Doesn’t Belong? (Dynamic)
For each function below, press Vary `x` to see how the dependent variable moves.
You can also drag `x` to observe the function’s behavior.
Which function doesn't behave like the other three?
For each function, describe how it is different from the others.
4 Connected Graphs
By using both a DynaGraph and a Cartesian Graph of a function, you can get a clearer idea of how the function actually behaves. This websketch connects the two graphs to help you see how they work together.
Tips for Using this Websketch
As you explore a function in both DynaGraph and Cartesian Graph forms, here are some questions for you to think about and to discuss with your classmates or your teacher.
5 From DynaGraph to Cartesian Graph
Drag `x` to see how `f(x)` behaves.
Drag the white point at 1 on the output axis to rotate it.
Try each of the buttons to see what they do.
Use the Trace Widget to trace the connector as you vary `x.`
Double-tap the function to enter a function of your own.
Here are some questions for you to think about and to discuss with your classmates or your teacher.
The Fine Print
Record every major revision, in reverse chronological order