The student will study a table of data from a function and determine the approximate rate of change at a point.
Using the information given in a table, we can estimate the instantaneous rate of change at a point by using the slope formula learned in Algebra. This is because the slope of a function is the average rate of change and at some point on a continuous interval, the average rate of change is equal to the instantaneous rate of change.
This video shows how to find average rates of change.
Source: Sanfordflipmath AP Calculus
Source: Nancy Stephenson, AP Calculus Conference, SMU at Plano, TX