In the past, I have taught strictly the curriculum when it comes to curve sketching. The AP exam has deemed that students should be able to look at a graph and identify aspects about the derivative or the original function based off of the given graph.
This year, I decided that instead of just looking at graphs the entire time and identifying information from the graph that I would go through the entire process of curve sketching. So far, the students seem to be reacting well to this set up. We have spent the past few days creating tables to allow us to graph the original function by identifying aspect of that function from the first and second derivatives. Tomorrow I get to see the payoff, as we will be looking only at graphs and identifying (and graphing) straight from the given graph.
Lets see if this works!!
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