Students will define procedures for computing instantaneous rates of change exactly and, when exact is impossible or impractical, approximately.
Before the Activity
Slopes of lines are important, giving average rates of change. Slopes of curves are even more important, giving instantaneous rates of change.
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 derivative as an instaneous rate of change.
After the Activity
Review student answers
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary