Pre-Work:
1)Watch & Note "Differentiability & Continuity"
Note: At 4:31, stop the video and try the T/F on your own first (copy these down too for discussion)!
2) Watch & Note "Differentiability and Continuity" Examples
3) Read through Continuity & Differentability
Note: Copy down Example 1, 2, and graphs. Clearly note on the graph WHY they are not differentiable.
4) Then complete the following Pre-Quiz:
Answer the following questions in complete sentences. Push yourself to use vocabulary terms!
1. What does the first video mean by being “smooth at a point?”
2. Why is a function non-differentiable if it is not “smooth” at that point?
3. State the three cases for differentability.
4. State the three examples of non-differentability.
Agenda:
Do Now, Please - Mad Minutes!
HW Debrief
Differentiable vs. Non-Differentiable?
Practice!
Closing
Post-Quiz:Continuity & Differentiability Quiz (only complete questions 5 & 6 if short on time) Have scholars JUSTIFY their answers on a separate sheet of paper when submitting.
Additional Resources: