Describe what a “slope function” is in complete sentences. What is its purpose? Give some examples of functions and their slope functions.
Discuss the formal definition of a derivative (slope function) as a limit.
Compare and contrast IROC and AROC (or slope of tangent vs. slope of secant) and how that relates to slope functions.
Discuss some practical uses of slope functions; such as, finding where the original function is increasing, decreasing or at a local maximum or local minimum.
Discuss how slope functions appear in motion problems; What does slope on a distance graph represent? What does slope on a velocity graph represent?