This course is primarily focused on preparing students for success in AP Calculus. Pre-AP Calculus explores topics in algebra, trigonometry, and analytic geometry, with applications specifically chosen for their relevance to calculus.
Pre-AP Pre-Calculus is a fast-paced, extremely rigorous course in which students are expected to remember basic concepts from Algebra I, Geometry, and Algebra II in an effort to learn how to analyze information and make connections between these four courses. In the first two courses, students were taught skills of algebra and geometry. In Algebra II, students began to think analytically about functions – linear, absolute value, quadratic, and exponential. In the current course, the focus will be building upon those families of functions to expand understanding to other algebraic functions as well as the trigonometric functions.
Particular emphasis is placed on the understanding of concepts instead of merely knowing and applying skills. The line of thinking that is used will be referred to as the Rule of Four. That is, students discover numerical, graphical, and analytical methods of understanding concepts and are required to express their understanding through both the spoken word through in-class presentations and in free response problems that appear on quizzes, exams, and homework assignments.