This activity uses the indefinite integral to locate one of a family of curves given specific initial information.
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.
Set up the vertical function.
Find the slope of the secant line.
Find the derivative of the height function.
Find the critical point on the derivative.
Check for max and min using the second derivative.
Create and draw the secant line to show the average velocity.
Students will be able to complete the following tasks on their graphing calculators:
After the Activity
Review student results
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary