# Mathematics

• Algebra I

This course includes the study of rational number properties, variables, polynomials, and factoring. Students learn to write, solve, and graph linear and quadratic equations and to solve systems of equations. They also learn to model real-world applications, including statistics and probability investigations.

• Geometry

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry. Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed. It also emphasizes writing proofs to solve (prove) properties of geometric figures. Students who complete Geometry should take Algebra II next.

• Algebra II

This course is designed to build on algebraic and geometric concepts. It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginery and complex numbers, quadratics, and concepts and includes the study of trigonometric functions. It also introduces matrices and their properties. The content of this course are important for students’ success on both the ACT and college mathematics entrance exams. Students who complete Algebra II should take Pre-Calculus next.

• Pre-Calculus

Course Description: This course is designed to cover topics in Algebra ranging from polynomial, rational, and exponential functions to conic sections. Trigonometry concepts such as Law of Sines and Cosines will be introduced. Students will then begin analytic geometry and calculus concepts such as limits, derivatives, and integrals. This class is important for any student planning to take a college algebra or college pre-calculus class.

• ## AP Calculus AB AP Calculus BCCalculus AB and Calculus BC are primarily concerned with developing the students’

understanding of the concepts of calculus and providing experience with its methods and applications . The courses emphasize a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally . The connections among these representations also are important .

Calculus BC is an extension of Calculus AB rather than an enhancement; common
topics require a similar depth of understanding . Both courses are intended to be
challenging and demanding .

Broad concepts and widely applicable methods are emphasized . The focus of the
courses 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 these courses . Technology should be used regularly by students and teachers 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 . These themes are developed using all the functions listed in the prerequisites.