This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Before the Activity
See the attached Activity PDF file(s) for detailed instructions for this activity.
During the Activity
Follow the procedures outlined in the activity.
Understand the concept of continuity and differentiability at a point.
After the Activity
Review student results
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary