This course covers all of the requirements of AB Calculus, plus specific preparation for the AP AB Calculus exam. The Calculus is explored using multiple representations including analytic, algebraic, numerical, graphical, and technological techniques. Students will examine the limit and continuity of functions along with the two main functions of calculus: the derivative and the integral. Derivatives will be explored as a point and as functions, along with second derivatives and applications in optimization, linearization, and related rates. Interpretations and properties of integration will be presented, including Riemann’s Sums and applications of motion, area under curves, and volumes of unusual shapes. The Fundamental Theorem of Calculus will be used for analytical and graphical analysis of functions. Students will also practice AP-style questions, to familiarize themselves with the format and grading techniques. The teacher will also reinforce commonly difficult concepts, address general concept questions, strengthen weak areas, host collaborative problem-solving among the students, and provide additional AP prep problems.