This is my first year teaching calculus through the AP curriculum, and I love, love, love, LOVE it. It's such a great mix of pure and applied math; I really feel like it supports teachers as we try to cultivate thinkers in our classrooms...and not just regurgitators.
In PreCalculus, we are now starting to discuss actual calculus topics: limits, formal definition of the derivative, and approximation methods for area under a curve. I was reading this article from the College Board about vertical alignment, and it got me thinking about how we could be exposing our Algebra 2 and PreCalculus kids to past AP Calculus questions.
And so I created these questions, which are adaptions from the 2012 and 2011B AP Calculus exams (both questions appeared on the AB and BC exams).
Does anyone else have previous AP questions they've modified to fit earlier classes--not just for calculus but possibly also for statistics? Or, do you have "vertical alignment" in your pre-AP math courses?