In trying to bridge the gap between our textbooks and the AP Calculus expectations, I felt that another unit needed to be created. For this reason, I developed this "Intro. to Calc." unit that takes place directly after a short "prerequisites" unit and right before introducing actual differentiation rules. I felt as if concepts like tangent/secant lines went hand-in-hand with concepts like the Mean Value Theorem and could be introduced conceptually without getting bogged down in the mechanics of differentiation. By introducing these concepts, they became fair game to be spiraled throughout the year.
This assignment covers the MVT, IVT, and Rolle’s Theorem. These concepts (specifically the MVT and consequently Rolle’s Theorem) relate intricately with secant lines and tangent lines. This assignment should be given as after a lesson on each theorem.