I am a little nervous spending so much time on graphs of motion. Specifically I am making students answer questions about both constant velocity plots and constant acceleration plots. Although this is taking us a long time, I am finding that my students are making fewer conceptual errors.
The idea I wanted them to take home over the weekend is that it is possible to have a negative acceleration and speed up, or a positive acceleration and slow down.
My goal is that every student be able to explain verbally, mathematically, and graphically that the acceleration of an object is unconnected to the direction of its velocity. Rather, it has to do with how the velocity changes.