ADVANCED ALGEBRA — 1 Unit of credit Sophomores, Juniors
Prerequisite: Plane and Solid Geometry with current teacher or Instructional Director recommendation

This course assumes the student understands the concepts, and exhibits competency in the skills of Algebra l. It is designed for the serious math student who will take additional math courses at a higher level. In addition to studying the traditional topics of Algebra 1 at a more advanced level, there is study of the field of real numbers, the field of complex numbers, conic sections, and exponential and logarithmic functions. Students will learn to visualize various relations and functions through graphing on the coordinate plane both manually and by using graphing calculators and computer programs. Successful completion of this course will satisfy the prerequisite for enrollment in College Algebra and Trigonometry.

ADVANCED ALGEBRA ACCELERATED – 1 Unit of credit Freshmen
Prerequisite: Algebra 1 in the Middle School and has not previously taken a geometry course

This course is designed for the serious math student who will take additional math courses at a higher level and assumes the student understands the concepts and exhibits competency in the skills of Algebra 1. In addition to Algebra 1, there is a study of real numbers, the field of complex numbers, conic sections and exponential and logarithmic functions. Students learn to visualize various relations and functions through graphing on the coordinate plane both manually and by using graphing calculators and computer programs. Successful completion of this course will satisfy the prerequisite for enrollment in Plane and Solid Geometry Accelerated. This course is similar to our present Advanced Algebra course but is designed for accelerated freshmen in our new math sequence. It will not require the concept of proof that is taught in geometry.

ADVANCED ALGEBRA AND TRIGONOMETRY H — 1 Unit of credit Freshmen, Sophomores
Prerequisite: Plane and Solid Geometry H (up to the Class of 2010) with current teacher or Instructional Director recommendation Algebra 1 (for the Class of 2011 and on) with current teacher or Instructional Director recommendation

This course is designed for very talented mathematics students who plan at least a four-year sequence in mathematics. The content of this course is similar to Advanced Algebra but it is a more challenging course in that the topics are covered in a more rigorous way. There is an increased emphasis on proof and analytical methods. Considerable time is spent on trigonometry which is presented as a class of periodic functions. Trigonometric identities are studied and applications are made using the law of sines and the law of cosines. Problem solving is a major strand of this course. Successful completion of this course will satisfy the prerequisite for enrollment in Plane and Solid Geometry Accelerated (Beginning with the Class of 2011) and Math Analysis H (Class of 2010 or earlier)

ADVANCED TOPICS IN MATHEMATICS H — 1/2 Unit of credit Seniors
Prerequisite: Multivariable Calculus and current teacher or Instructional Director recommendation

This semester course builds on the concepts of multivariable calculus, and challenges students to apply the calculus of higher dimensions and principles of linear algebra to a variety of problems in science and business. Students will use computer software to discover and demonstrate relevant theory and concepts, and will engage in problem based learning activities. Students will also have the opportunity to do independent research in other areas of advanced mathematical study, such as: computer animation, chaos, fractals, electronic privacy, telecommunications, code encryption and cracking, computer simulations, and market analysis.

ALGEBRA 1 — 1 Unit of credit Freshmen
Prerequisite: Current Teacher or Instructional Director recommendation

This is the first course for students who plan three or four years of college preparatory mathematics. Students who take this course should be competent in basic arithmetic skills, abstract reasoning and working with the symbols of mathematics. Topics include the real number system, operations with polynomials, solving first and second degree equations and inequalities in one and two variables, systems of equations and inequalities, factoring, rational expressions, graphing in one and two dimensions and word problems. Problem solving techniques are emphasized throughout the course. Successful completion of this course will satisfy the prerequisite for enrollment in Plane and Solid Geometry.

ALGEBRA 1 Plus — 1 Unit of credit Freshmen
Prerequisite: Current Teacher or Instructional Director recommendation

This course consists of the contents of the second semester of Algebra 1 with an emphasis on problem solving techniques and applications of the concepts taught. A unit on the arithmetic of matrices and matrix operations using the graphing calculator will be included. A large part of second semester will include applications of algebra involving data analysis and an introduction to statistics. Successful completion of this course satisfies the prerequisite for Plane and Solid Geometry.

ALGEBRA 1-A — 1 Unit of credit Freshmen, Sophomores, Juniors
Prerequisite: Current Teacher or Instructional Director recommendation

This course is designed for students who have basic arithmetic skills but who need additional time to master algebraic concepts. Emphasis is on basic concepts, fluency in interpreting and handling mathematical symbols and refinement of computational skills. The Algebra 1-A student will work with integers, fractions and decimals to solve first degree equations. In addition, the student will study ratio and proportion, word problems, basic geometric shapes and vocabulary, basic statistics, and graphs of linear equations and inequalities. Successful completion of this course will satisfy the prerequisite for enrollment in Algebra 1-B.

ALGEBRA 1-B — 1 Unit of credit Sophomores, Juniors, Seniors
Prerequisite: Algebra 1-A with recommendation of current teacher or Instructional Director

This course includes a review of the properties and operations of the rational number system, a review of first degree equations and inequalities and a review of operations with polynomials. Additional topics include the real number system, factoring, operations with algebraic fractions, graphing, systems of equations and inequalities and quadratic equations. Successful completion of this course will satisfy the prerequisite for enrollment in Plane Geometry.

ALGEBRA 2 — 1 Unit of credit Juniors, Seniors
Prerequisite: Plane Geometry (or Plane and Solid Geometry) with recommendation of current teacher or Instructional Director

This course is designed for those students who do not intend to pursue a math-related course of study at the college level. A review of Algebra 1 concepts and skills will be followed by topics studied in Advanced Algebra but presented in a less rigorous manner. These will include inequalities, graphing, probability and simple statistics, trigonometry of the right triangle and the conic sections. Successful completion of this course will satisfy the prerequisite for enrollment in Trigonometry/Statistics.

AP CALCULUS (AB) — 1 Unit of credit Seniors
Prerequisite: Precalculus and current teacher or Instructional Director recommendation

This course is intended for students who have a thorough knowledge of algebra, axiomatic geometry, trigonometry and analytic geometry. Topics include functions, graphs, limits, continuity, derivatives, applications of derivatives, anti-derivatives, applications of anti-derivatives and the definite integral. Students are expected to take the Advanced Placement Exam as part of this course.

AP CALCULUS (BC) — 1 Unit of credit Juniors, Seniors
Prerequisite: Math Analysis H and current teacher or Instructional Director recommendation

All of the topics in Calculus AB are taught. Additional topics include: vector functions, parametric equations, a rigorous definition of limit, complex integration techniques, areas bounded by polar curves, differential equations and a thorough study of sequences and series. The content of Calculus BC is designed to qualify students for placement and credit one semester beyond that granted for Calculus AB. Students are expected to take the Advanced Placement Exam as part of this course.

CALCULUS CP — 1 Unit of credit Seniors
Prerequisite: Precalculus or College Algebra/Trigonometry with current teacher or Instructional Director recommendation

This course is intended for students who have a knowledge of algebra, geometry, trigonometry, and precalculus. Topics include: functions, graphs, limits, continuity, derivatives, applications of derivatives, anti-derivatives, applications of anti-derivatives, definite integrals, and applications of the definite integrals. There will also be topics on combinatorics, graph theory, trees, counting techniques, and logic. This course will emphasize the use of technology to solve real world applications.

COLLEGE ALGEBRA AND TRIGONOMETRY — 1 Unit of credit Juniors, Seniors
Prerequisite: Advanced Algebra or Plane & Solid Geometry Accelerated with current teacher or Instructional Director recommendation

This precalculus course is designed for students preparing to take Calculus CP. Topics include: properties, graphs and applications of polynomial, rational, exponential, logarithmic and trigonometric functions; complex numbers, sequences, and series. The graphing calculator will be used extensively as both an instructional and a problem-solving tool. This course does not meet the prerequisite for Advanced Placement Calculus.

COMPUTER PROGRAMMING H — 1 Unit of credit Sophomores, Juniors, Seniors
Prerequisite: Plane and Solid Geometry or current teacher or Instructional Director recommendation

This course introduces the basic structure of computer science and an operating system. This includes forms and methods of a structured language, procedures, functions, data types, simple algorithms and applications. Other topics include computer systems, documentation and the impact of computers on society. Application software and HTML will be used in conjunction with computer related projects.

AP COMPUTER SCIENCE (AB) — 1 Unit of credit Juniors, Seniors
Prerequisite: Advanced Algebra, Advanced Algebra Accelerated and Computer Programming H or significant programming experience and current Teacher or Instructional Director recommendation

The curriculum and course content will be the College Boards’ Advanced Placement Computer Science course. Topics covered include problem solving, object oriented programming and data structures. Design, documentation, and testing of programs will be emphasized. Students are expected to take the Advanced Placement Exam as part of this course.

MATH 1 — 1 Unit of credit Freshmen
Prerequisite: Current teacher or Instructional Director recommendation

This laboratory course is designed primarily for freshmen who require a review of the basic skills necessary for Algebra A. The major emphasis will be to develop and reinforce skills in performing the four arithmetic operations on whole numbers, fractions and decimals. It also includes a comprehensive treatment of the metric system, informal geometry, statistics and basic consumer applications of earning, spending, borrowing and investing money. A considerable amount of daily work is assigned in order to develop the necessary skills. Successful completion of this course will provide the preparation necessary for Math 2 or Algebra 1-A.

MATH 2 — 1 Unit of credit Sophomores
Prerequisite: Math 1 with current teacher of Instructional Director recommendation

This course is designed for the student who has successfully completed Math 1 and is not ready for the abstractions of Algebra. Non-sequential units of length one, two or three weeks developed around topics of real world applications will be the major thrust. The topics will include estimation, rounding, calculator skills, following and giving directions, formula usage, tables and charts, statistics, problem solving, probability, measurement and geometric constructions. Successful completion of this course will provide the preparation necessary for success in Algebra 1-A and/or Consumer Math.

MATH ANALYSIS H — 1 Unit of credit Sophomores, Juniors
Prerequisite: Advanced Algebra and Trigonometry H with current teacher or Instructional Director recommendation

This is a Precalculus course for mathematically talented students. It reviews and extends topics covered in previous math courses. New topics include an in-depth study of elementary functions and their limits, vector analysis, polar coordinates and polar equations, mathematical induction, and derivatives of polynomial, logarithmic, trigonometric and exponential functions. Successful completion of this course will satisfy the prerequisite for enrollment in AP Calculus (BC).

MULTIVARIABLE CALCULUS H — 1/2 Unit of credit Seniors
Prerequisite: AP Calculus (BC) and current teacher or Instructional Director recommendation

Multivariable Calculus is a third semester of calculus. Its topics include: vectors in a plane and space, partial differentiation, multiple integration and vector calculus.

PLANE GEOMETRY — 1 Unit of credit Sophomores, Juniors, Seniors
Prerequisite: Algebra 1, Algebra 1 Plus or Algebra B with current teacher or Instructional Director recommendation

This course covers traditional geometry topics through observation, measurement, intuition and induction. Students are also introduced to the methods of deductive proof. Successful completion of this course will satisfy the prerequisite for enrollment in Algebra 2.

PLANE AND SOLID GEOMETRY — 1 Unit of credit Freshmen, Sophomores
Prerequisite: Algebra 1 or Algebra 1 Plus with current teacher or Instructional Director recommendation

This course covers traditional Euclidean geometry topics with emphasis on synthetic, deductive proofs. Some topics from three-dimensional geometry are also studied. Topics from coordinate geometry are covered to show an alternative approach to studying the content of geometry. Successful completion of this course will satisfy the prerequisite for enrollment in Advanced Algebra.

PLANE AND SOLID GEOMETRY ACCELERATED – 1 Unit of credit Sophomore
Prerequisite: Advanced Algebra Accelerated

This course assumes that the student understands the concepts and exhibits competency in the skills of Advanced Algebra Accelerated. It covers traditional Euclidean geometry topics with emphasis on synthetic deductive proofs. Some topics from three-dimensional geometry are also studies. Topics from coordinate geometry are covered to show an alternative approach to studying the content of geometry. Successful completion of this course will satisfy the prerequisite for enrollment in Precalculus or College Algebra and Trigonometry.

PLANE AND SOLID GEOMETRY H — 1 Unit of credit Freshmen, Sophomores
Prerequisite: Beginning with Class of 2011 - Advanced Algebra Trigonometry H with current teacher or Instructional Director recommendation

Students who request this course should have high ability and achievement in both mathematics and reading. In addition to the topics covered in the Plane and Solid Geometry course, non-Euclidean geometry, right triangle trigonometry and transformation geometry are studied. Inductive methods and reasoning are used extensively to introduce concepts, logic, deductive proofs, and problem-solving techniques are emphasized. Projects are assigned. Successful completion of this course will satisfy the prerequisite for enrollment in Math Analysis H.

PRECALCULUS — 1 Unit of credit Juniors, Seniors
Prerequisite: Advanced Algebra or Plane & Solid Geometry Accelerated with current teacher or Instructional Director recommendation

This is a third year of algebra and a full course in trigonometry. It enhances the knowledge and skills for students who are very strong in the concepts of Advanced Algebra. New topics include an introduction to polar coordinates and equations, convergence and divergence of series, mathematical induction and functions and their limits. Because of the content of this course, students should be prepared to spend more time and effort than in previous courses. Successful completion of this course will satisfy the prerequisite for enrollment in AP Calculus (AB), AP Statistics or Calculus CP.

SENIOR MATH TOPICS – 1 Unit of credit Seniors
Prerequisite: Trigonometry, Precalculus, or College Algebra and Trigonometry

This course consists of the study of Non-Western mathematics, the development of calculus, mathematics of the 18th and 19th centuries, Non-
Euclidean geometry, number theory, Diophantine equations, probability theory, and set theory. Topics will also include the mathematics of art,
music, and architecture.

STATISTICAL ANALYSIS — 1/2 Unit of credit Seniors
Prerequisite: Algebra 2 with current teacher or Instructional Director recommendation

This semester course is designed to provide seniors with a working knowledge of elementary probability and statistics. Students will learn how to interpret graphs, take data and display it effectively, analyze data with basic statistical tools, develop models and compare results with actual data and obtain an awareness of the misuse of statistics. Computer software will be utilized throughout the course.

AP STATISTICS — 1 Unit of credit Seniors
Prerequisite: College Algebra/Trigonometry or Precalculus with current teacher or Instructional Director recommendation

This semester course is a non-calculus-based introduction to statistics exposing students to four broad conceptual themes: exploring data, planning studies, probability and simulation, and statistical inference. While this course is not as mathematically rigorous as the AP Calculus courses, students must read, write, and analyze at the college level. Students are expected to take the Advanced Placement Exam as part of this course.

TRIGONOMETRY — 1/2 Unit of credit Seniors
Prerequisite: Algebra 2 with current teacher or Instructional Director recommendation

This semester course is designed for students who wish to continue their study of secondary school mathematics during their senior year and who do not anticipate a need for a proof oriented trigonometry course in their college plans. Trigonometric functions, equations, graphs, identities, laws and formulas and exponential functions will be the primary topics of study. Computers and computer software will be utilized throughout the course.