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# Mathematics

This course uses a basic philosophy of a guided discovery approach with an emphasis on theory and requires higher level thinking skills such as analysis. The content and application of the course goes beyond the basic geometry course to develop knowledge of the fundamental structure of mathematics and logical thinking.

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include logarithmic, polynomial, rational, and radical functions in the Algebra 2 course. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Students work closely with the expressions that define the functions, competently manipulate algebraic expressions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms.

Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college. Because the standards for this course are (+) standards, students selecting Precalculus should have met the college and career ready standards.

11th Grade (option 2): Functional Statistics Trigonometry (FST)

In this course, students use graphing calculators and computers. Functions, statistics and trigonometry are integrated and reality oriented. Reading and problem solving are emphasized. Concepts covered include inequality, distance with coordinates, infinity, rate of change, sequence, function, limit, maximum-minimum, and summation notation, which are all concepts in calculus administration.

12th Grade (option 1): AP Calculus

The AP Calculus courses, created by the College Board in collaboration with college faculty, are designed to develop mathematical knowledge conceptually; guiding students to connect topics and representations throughout each course and to apply strategies and techniques to accurately solve diverse types of problems. The curriculum for AP Calculus AB is equivalent to that of a first­ semester college calculus course devoted to topics in differential and integral calculus, including limits, derivatives, integrals and the Fundamental Theorem of Calculus.

12th Grade (option 2): AP Statistics

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1) Exploring data – describing patterns and departures from patterns; 2) Sampling and Experimentation – planning and conducting a study; 3) Anticipating Patterns – exploring random phenomena using probability and simulation; and 4) Statistical Inference – estimating population parameters and testing hypotheses.