Functions and Rates of Change

Some students in calculus get confused when you are comparing a function and its derivative and second derivative. I get various creative answers of "if a function is positive, then its derivative is positive" .... "if a function is increasing, then its derivative is increasing". I am hoping that this activity will make things gel for more students. Who knows. Not me, but I am willing to try. 

Here's to wishing me luck. One day I will have more perfect moments than not-completely-successful topic teaching and EVERYONE will get it. And cute puppies will bark and wait to be pet and flowers will bloom and I will get enough sleep.

Here is a link to the PDF.