The preview file is one of the four files--so you can get one of them free!
Since Teachers Pay Teachers does not support .gsp files, the preview file is a .gsp file that can be extracted from a (supported) .zip file.
(Please rate the preview file if you do use it, thanks!)
You will download a .zip file from which 4 .gsp files can be extracted. .gsp files can be used only with Geometer's Sketchpad, so please make sure you have the appropriate software before downloading.
The four files:
- Secant Tangent: Motivates the "x --> a" and "h --> 0" limit definitions of the derivative by dynamically letting secant lines approach the tangent line.
- Tangent Line with Car: Helps students visualize the meaning of the derivative as the "instantaneous" steepness of a hill on which a car is driving.
- Demo for Power Rule: Graphically shows the relationship between f(x) = x^n and its derivative for integral n. Students can use this to predict the power rule.
- Open-Top Box: A visualization of the typical open-top box optimization problem wherein students find the maximum volume of a box created by cutting squares out of the corners of a square piece of paper.
Each file has an Instructions tab with specific instructions on how to use the file.