The Slope of a Parabola
What is the slope of y = x^{2}?
Recall slope refers to the rate of change of a function. Begin by computing the slope between two points on the y = x^{2} function that are .001 units apart in the xdirection. Repeat the process for several (many) pairs of points. What happens to the slope? Organize your collection of data in a manner that may help a pattern stand out. Is there a pattern in your data that would help you predict the slope?

Extensions 
Investigate the slope of a different curve in the form y = x^{n} and compare findings and generalizations among your classmates.

Related External Resources 
Buying my first car
"You will soon be in the position of getting your driver's license and looking for a car. In all of the excitement, you are faced with a number of decisions which need to be made before you actually purchase your car. Through this unit you will research every aspect that a person goes through when purchasing a car."
Submit your idea for an investigation to InterMath.
