Mathematics

Algebra I

1 year/1 credit

This is the first mathematics course for which students can receive one high school credit upon successful completion of the course and the Algebra I Regents Examination.The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. The critical units deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving and using quadratic functions. The mathematical practice standards apply throughout the course and, together with the Next Generation Learning Standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations. The focal point of this course is the algebra content standards, thus preparing students for the Algebra I Regents examination in June. This rigorous course also requires the use of a graphing calculator. Placement in this course will be determined by teacher recommendation and student interest.

Intermediate Math

1 year/1credit

This course will focus on building algebra and geometry skills necessary to complete further Regents-level coursework. Topics will include intermediate-level algebra, geometric relationships, and coordinate and transformational geometry. The use of a graphing calculator is encouraged for this course.

Geometry

1 year/1 credit

This is the second mathematics course in the Regents sequence. The fundamental purpose of the course in Geometry is to formalize and extend students’ geometric experiences. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. The mathematical practice standards apply throughout this course and, together with the Next Generation Learning Standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations. The focal point of this course is the geometry content standards, thus preparing students for the Geometry Regents examination in June. This rigorous course requires the use of a graphing calculator.

The Study of Functions

1 year/1 credit

This course will develop the algebraic skills of those students who continue their study of mathematics and will prepare students who may continue on to take the Algebra II course. It will also help the student develop alternative solution strategies and algorithms. Within this course, the number system will be extended to include imaginary and complex numbers. The families of functions to be studied will include polynomial, absolute value, radical, trigonometric and exponential functions. Right-triangle trigonometry will be expanded to include the investigation of circular functions. The use of a graphing calculator is encouraged for this course.

Algebra II

1 year/1 credit

This course is the third mathematics course in the Regents sequence. This mathematics course is the capstone course of the three units of credit required for an Advanced Regents diploma.This course is a continuation and extension of the two courses that preceded it. Building on their work with linear, quadratic and exponential functions, students extend their

repertoire of functions to include polynomial, rational and radical functions. Students work closely with the expressions that define the functions 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. The mathematical practice standards apply throughout this course and, together with the Next Generation Learning Standards, prescribe that students experience mathematics as a coherent, useful and logical subject that makes use of their ability to make sense of problem situations. This rigorous course requires the use of a graphing calculator and culminates with the Algebra II Regents examination in June.

Precalculus

1 year/1 credit

Students taking this course may be able to earn college credits.

This rigorous mathematics course for calculus- bound students will deal with functions, sequences, series, limits, theory of equations, conic sections and an introduction to calculus. Students will use the graphing calculator to solve problems experienced in science and industry. Enough calculus will be studied to prepare these students for a rigorous AB/BC- level Advanced Placement Calculus course. A College Board-approved graphing calculator is required for this course. There is a midyear and an end-of-year final examination.

Contemporary Math

1 year/1 credit

Students taking this course may be able to earn college credits.

This course is designed to introduce students to a variety of applications of mathematics topics, which include logic, statistics, probability, matrices, linear programming, trigonometry, graphing calculator applications and advanced algebra. This course includes preparation for college entrance exams. The use of a graphing calculator is encouraged for this course.

Discrete Math

1 year/1 credit

Students taking this course may be able to earn college credits.

This college-level course provides a quantitative approach to an understanding and interpretation of mathematics in the contemporary liberal arts. The course will provide a foundation for practical decision- making through a discussion of topics from finite and discrete mathematics. Topics include decision theory, matrix operations and applications, game theory, linear programming, graph theory, counting, probability and recursion techniques. A graphing calculator is encouraged for this course. There is a midyear and an end-of-year final examination.

Probability and Statistics

1 year/1 credit

Students taking this course may be able to earn college credits.

This course reflects that of a typical introductory college course in probability and statistics that introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem-solving and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, probabilities, decisions and conclusions. The curriculum also consists of the themes of probability, combinatorics, exploring data, planning a study, anticipating patterns and statistical inference. A graphing calculator is encouraged for this course. There is a midyear and an end-of-year final examination. Students taking this course may be able to earn college credits.

AP Calculus AB

1 year/1 credit (w)

Students taking this course may be able to earn college credits.

This course is equivalent to a first-year college calculus course. Topics include the study of limits, the derivative as a range of change, applications of differentiation, integrals as net rate of change and applications of integration. A College Board-approved graphing calculator is required for this course. Students will take the Advanced Placement Examination in Calculus AB typically offered in May. Prerequisite: Must pass Precalculus.

AP Calculus BC

1 year/1 credit (w)

Students taking this course may be able to earn college credits.

Calculus BC is a course in single-variable calculus that includes all the topics of Calculus AB (techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus) plus additional topics in differential and integral calculus (including parametric, polar and vector functions) and series. It is equivalent to at least a year of calculus at most colleges and universities. Algebraic, numerical and graphical representations are emphasized throughout the course. A College Board-approved graphing calculator is required for this course. Students will take the Advanced Placement Examination in Calculus BC typically offered in May. Prerequisite: Must pass Precalculus.

AP Computer Science Principles

1 year/1 credit (w)

AP Computer Science Principles introduces students to the breadth of the field of computer science. In this course, students will learn to design and evaluate solutions and to apply computer science to solve problems through the development of algorithms and programs. They will incorporate abstraction into programs and use data to discover new knowledge. Students will also explain how computing innovations and computing systems work, including the internet, explore their potential impacts and contribute to a computing culture that is collaborative and ethical. It is important to note that the AP Computer Science Principles course does not have a designated programming language. Students will take the Advanced Placement Examination in AP Computer Science Principles typically offered in May. Prerequisite: Must pass the Algebra I Regents examination and Algebra I course.

AP Statistics

1 year/1 credit (w)

Students taking this course may be able to earn college credits.

This course is equivalent to a first-year college statistics course. The curriculum consists of four basic themes: exploring data, planning a study, anticipating patterns and statistical inference. Students pursuing certain college majors such as social sciences, health sciences and business would benefit from this course. A College Board-approved graphing calculator is required for this course. Students will take the Advanced Placement Examination in Statistics typically offered in May. Prerequisite: Must pass the Algebra II Regents examination and Algebra II course.