# High School, Mathematics

Algebra

This foundation course is for students in the 9th grade. The course aims to provide students with the fundamental algebraic skills necessary for working with variable expressions, equations, and verbal problems. Students learn about integers, rational numbers, equations and inequalities, exponents and polynomials, graphs and systems of equations, rational and radical expressions, relations and functions, and are introduced to probability and statistics. Students are encouraged to develop mathematical skills and work habits that will last throughout their academic careers.

Geometry

Students in the 9th grade take this course if they have successfully completed an algebra course or an equivalent in middle school. Students learn the fundamentals of geometry, how to deal with geometric figures and to apply deductive reasoning in the creation of formal proofs. Students learn about logic, deductive reasoning, parallel lines, congruence, polygons, inequalities, similarity, circles, constructions, loci, areas, volumes, coordinate geometry, and transformations.

Geometry 10

10th grade students take this course after completion of 9th grade algebra. Students learn the basics and fundamentals of geometry, how to deal with geometric figures and to apply deductive reasoning in the creation of formal proofs. Students learn about logic, deductive reasoning, parallel lines, congruence, polygons, inequalities, similarity, circles, constructions, loci, areas, volumes, coordinate geometry, and transformations.

Algebra II with Trigonometry

This course is given to accelerated 10th grade students who have completed geometry in 9th grade.  Students enhance their algebraic skills and develop an understanding and mastery of trigonometric concepts. Students extend their study of real numbers, equations and inequalities, functions, systems of equations, polynomials, rational expressions, complex numbers, quadratic equations, transformations, second degree equations, polynomial functions, exponential and logarithmic functions, an in depth study of trigonometric functions, graphs, identities, and equations, probability, and statistics.

This course is designed for students who have successfully completed a year of Algebra. Students learn about payroll, personal and business finances, assets, investments, statistics, technology, marketing, and accounting. Students will also study components of pure math needed in order to advance in their mathematical studies. Students are encouraged to develop critical thinking and problem solving skills, as well as work habits that will last throughout their academic and future careers.

Algebra II with Trigonometry

This course is given to eleventh grade students who have completed geometry. Students enhance their algebraic skills and develop an understanding and mastery of trigonometric concepts. Students extend their study of real numbers, equations and inequalities, functions, systems of equations, polynomials, rational expressions, complex numbers, quadratic equations, transformations, second degree equations, polynomial functions, exponential and logarithmic functions, an in depth study of trigonometric functions, graphs, identities, and equations, probability, and statistics.

Pre-Calculus AB

This course is given to eleventh grade students who have completed Algebra II with Trigonometry.  Students further develop the algebraic and trigonometric skills that are necessary for success in AP Calculus AB. Students study linear and quadratic functions, polynomial functions, inequalities, functions, exponents and logarithms, analytic geometry and conic sections, trigonometric functions, trigonometric equations, triangle trigonometry, trigonometric addition formulas, and introduction to limits.

Pre-Calculus BC

This course is given to eleventh grade students who have completed Algebra II with Trigonometry. Students further develop the algebraic and trigonometric skills that are necessary for success in AP Calculus BC. Students study linear and quadratic functions, polynomial functions, inequalities, functions, exponents and logarithms, analytic geometry and conic sections, trigonometric functions, trigonometric equations, triangle trigonometry, trigonometric addition formulas, polar coordinates and complex numbers, vectors and determinants, sequences and series, matrices, limits, continuity, techniques of differentiation, and related rates.

Intermediate Algebra II

This course is designed for seniors who have successfully completed Algebra, Business Math, and Intermediate Geometry. Students enhance their algebraic skills and develop an understanding and mastery of a variety of topics in Algebra, Trigonometry, and Pre-Calculus.  Topics include: polynomials, set theory, trigonometry, matrices and linear algebra, functions, conic sections, and game theory. Students are encouraged to develop skills and work habits that will last throughout their academic and future careers.

AP Statistics

This course is the equivalent of an introductory college-level course. Open to juniors and seniors, students will focus on four major themes: exploratory data analysis, designing studies, probability models and simulation, and statistical inference. In essence, students develop strategies for collecting, organizing, analyzing, and drawing conclusions from real-world data. Students design, administer, and tabulate results from surveys and experiments. Probability and simulations aid students in constructing models for chance phenomena. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests. Students use a TI-84 Plus graphing calculator, formula sheets, statistical tables and activities to investigate statistical concepts. To develop effective statistical communication skills, students are required to prepare frequent written and oral analyses of real data. Students will regularly build interdisciplinary connections with other subjects and with their world outside of school.

Multivariable Calculus

This course is given to twelfth grade students who have completed BC Calculus. Students study space functions, calculus with vector functions, arc length and curvature, motion along a curve, functions of several variables, limits and continuity of functions in two variables, partial differentiation, directional derivatives, higher order derivatives, maximizing and minimizing functions, Lagrange multipliers, volume and average height, double integrals in cylindrical coordinates, moment and center of mass, surface area, triple integrals, cylindrical and spherical coordinates, vector fields, line integrals, the fundamental theorem of line integrals, Green’s theorem, divergence and curl, vector functions for surfaces, surface integrals, Stoke’s theorem, and the divergence theorem.

Pre-Calculus 12

This course is open to seniors who have completed Algebra II with Trigonometry and elect to further their mathematics studies. The course encompasses the study of various functions, including linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric, as well as work with sequences and data analysis.

AP Calculus AB

This course is offered to seniors who have completed Pre-Calculus AB. Topics include properties of functions, limits, continuity, definition of the derivative, techniques of differentiation, using calculus to graph functions with, rectilinear motion, applied maximum and minimum problems, Newton’s method, Rolle’s Theorem and the Mean Value Theorem, the indefinite integral, slope fields, the definite integral, the Fundamental Theorems of Calculus, average value, applications of the definite integral including area and volume, integration by parts, and first order separable differential equations. Technology including the use of the graphing calculator is used.

AP Calculus BC

This course is open to seniors who have completed Pre-Calculus BC. Students study properties of functions, limits, continuity, definition of the derivative, techniques of differentiation, using calculus to graph functions, rectilinear motion, applied maximum and minimum problems, Newton’s method, Rolle’s Theorem and the Mean Value Theorem, the indefinite integral, slope fields, the definite integral, the Fundamental Theorems of Calculus, average value, applications of the definite integral including area and volume, integration by parts, first order separable differential equations, length of a  plane curve, work, advanced integration techniques, Simpson’s rule, improper integrals, first order separable differential equations, Maclaurin and Taylor series, convergence tests for series, polar coordinates, area in polar coordinates, and calculus on vector functions.