Geometry is a comprehensive course that integrates logical reasoning and spatial visualization skills throughout the course.  Students will develop their inductive and deductive reasoning skills by providing informal and formal justifications, as well as drawings and illustrations of concepts.  In additional to traditional topics, this course also includes right triangle trigonometry, as well as finding sides, angles, and areas of oblique triangles.  Review of algebra concepts and appropriate use of technology are also emphasized throughout the course.

Precalculus begins by briefly reviewing and providing additional depth and extension to the functions and graphs studied in second year algebra, solidifying students' comprehension of these functions and their applications.  The course then thoroughly investigates polynomials, rational, exponential, logarithmic, and trigonometric functions.  This is followed by the study of analytic trigonometry, oblique triangles, vectors, systems of equations and inequalities, matrices and determinants, sequences, series, probability, and analytic geometry.  The students are then introduced to the calculus concepts of limits, continuity, and the derivative.

Calculus BC is primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important. Broad concepts and widely applicable methods are emphasized. The focus of the course is neither manipulation nor memorization of an extensive taxonomy of functions, curves, theorems, or problem types. Thus, although facility with manipulation and computational competence are important outcomes, they are not the core of the course. Technology is used regularly by the students to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of the unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated topics. By the end of the course, students should have mastery of all the topics/techniques currently part of the College Board Calculus BC course description.