Mathematics

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This course is part of a two-course sequence designed to ensure a strong foundation and clearer understanding of the mathematical skills essential to all future studies of mathematics.  Students who successfully complete Algebra 1A move to Algebra 1B and Geometry Topics in grade 10.  Algebra 1A follows the NYS Education Department curriculum and employs an integrated approach to the study of algebraic relationships and culminates in a local final examination. Topics covered include properties of numbers, algebra operations, linear equations in one variable, quadratics, and inequalities, with an emphasis on problem solving strategies. A graphing calculator is required. While this is a 1 credit HS course, it should be noted that the NCAA and some colleges will grant .5 credit. 

This course follows the NYS Education Department curriculum. This course employs an integrated approach to the study of algebraic relationships. This course provides an in-depth study of introductory algebra with a major emphasis placed on the fundamental laws of algebra; algebraic operations; linear, quadratic, and exponential functions, and their algebra; systems of equations, probability and statistics. Work includes analytical problem solving, involving calculations of both practical and analytical applications. A graphing calculator is required. Students will take the NYS Algebra Regents exam in June.

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This course is a continuation of Algebra 1A, following the NYS Education Department curriculum. Topics covered in the first semester include systems of equations, exponential functions, quadratics, and statistics. Students will take the NYS Algebra Regents exam in January. During the second semester, students will be introduced to topics in Geometry, including but not limited to lines, angles, triangles, circles, and 3D geometry. These topics align with topics on national standardized tests (SAT/ACT). A graphing calculator is required.

This course is designed to provide extended study of geometric topics allowing for the reinforcement of algebraic techniques. This course employs an integrated approach to the study of geometric relationships. Through a consideration of Euclidean, transformational and coordinate approaches, students will investigate situations in order to justify geometric relationships and properties of geometric figures. Major emphasis will be placed on: Quadratics, Coordinate Geometry, Polygons, Transformations, Right Triangles, Trigonometry, and Proofs. Problem solving techniques and precise written and oral work are also stressed. Work includes analytical problems involving work with linear and quadratic equations. A graphing calculator is required. This course will prepare students for a cumulative final exam in June. Recommendation: Successful completion of Algebra, and a passing grade on the NYS Regents Algebra exam.

This course focuses on the core aspects of geometry to create a more accessible approach to the curriculum. Through a consideration of Euclidean, transformational, and coordinate approaches, students will investigate situations in order to justify geometric relationships and properties of geometric figures. Major emphasis will be placed on: Congruence, Similarity, Trigonometry, and Proofs. Each of these topics will include computational work as well as geometric reasoning. A graphing calculator is required. Recommendation: A minimum course grade of 65% in Algebra, and a passing grade on the NYS Regents Algebra exam.

This is a challenging course designed for students with a strong interest and persistence in mathematics. We will be covering Euclidean proofs, advanced algebraic skills such as manipulating radical and rational expressions, solving rational, radical and quadratic equations, congruence, constructions, similarity, trigonometry, and three-dimensional geometry. This course stresses the ability to reason logically and to think critically, using spatial sense. Students will engage in activities that allow them to create geometric understanding. This course will formalize and extend students’ geometric experiences from the middle grades. Students will explore more complex geometric situations and deepen their explanations of geometric relationships moving toward formal mathematical arguments. The course guides students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to exercise problem-solving skills in authentic situations.

The course culminates with a local final exam in June.

Recommendation: Students should have mastered factoring and earned a minimum course grade of 90% in Algebra.

This is a rigorous full year course which provides an in-depth study in advanced algebra and trigonometry. There is an extensive number of topics included in the curriculum of this course resulting in the course being very fast paced. Major emphasis will be placed on: numeracy, the real number system, factoring, rational expressions/equations, simplification/ operations of radicals and radical equations, solving quadratic equations/inequalities, relations and functions, solving systems of equations, exponential and logarithmic properties/equations and introductory trigonometry, trigonometric equations and identities.

Recommendation: Successful completion of Geometry with a minimum course grade of 80% or successful completion of Geometry Honors with a minimum course grade of 75%.

This is an intensive honors course which follows the Geometry Honors course. This course follows the same curriculum as Algebra 2/Trigonometry, but at a more in depth, greater level of difficulty, and includes additional topics of study in preparation for Precalculus Honors. These topics include, but are not limited to, advanced literal equations, fractional and polynomial inequalities, absolute value equations and inequalities, functions, domain and range, theory of equations, systems of equations with three variables, and rational functions and inequalities. Calculators, both scientific and graphing are required, and will be used throughout the year. Students will take a cumulative final exam.

Recommendation: A minimum course grade of 95% in Geometry or 85% in Geometry Honors. Students should have mastered factoring, graphing quadratics, and all basic algebraic manipulation skills.

This course offers an intensive one-year college preparatory study of algebraic skills which extend beyond the Algebra course curriculum. Course topics focus on algebraic skills at an intermediate level. Major emphasis will be placed upon the following topics: rational functions, complex numbers, higher order polynomials, radical functions and operations, functions: domain, composition, and inverses. A graphing calculator is required. Students will take a cumulative final. Recommendation: A minimum course grade of 75% in Algebra or Algebra 1B, as well as a passing grade on the NYS Regents Algebra exam.

This course offers an intensive one-year college preparatory study of trigonometry. Major emphasis will be placed upon the following topics: right-triangle trigonometry, unit circle trigonometry, solving trigonometric equations, proving trigonometric identities, trigonometric applications as they extend to real-world situations. The students will also extend their work with exponential functions to include solving exponential equations with logarithms, as well as a deeper exploration into statistics and probability. A graphing calculator is required. Students will take a local final.

Recommendation: A minimum course grade of 75% in Algebra 2, as well as a passing grade on the NYS Regents Algebra exam.

This elective course is for students who are looking to pursue an introduction to statistical reasoning. Emphasis will be placed on concepts and applications rather than an in-depth coverage of traditional methods. Topics include sampling and experimentation, descriptive statistics, probability, binomial and normal distributions, estimation. Students will gain additional expertise in the use of the TI-83/84+ graphing calculator which is a requirement for this course. Students planning on majoring in business, psychology, sociology, and/or any other health related sciences will find this a good basis of statistical analysis. Preference is given to seniors, although students in other grades may take this course as well. Students often pair the Logic and Problem Solving elective with this course to produce a full year math credit.

Recommendation: Successful completion of Algebra and Geometry, or Geometry and Algebra 2, or Algebra 2/ Trigonometry

This elective course teaches problem solving techniques using puzzles and real world applications. It is an introduction to mathematical logic and reasoning for those students not planning on pursuing Calculus in college. Students will work individually and in groups to learn material through discovery learning, solving problems and producing results for themselves for further study and analysis, as well as focus on the study and application of logic proofs. Preference is given to seniors, although student in other grades may take this course as well. Students often pair the Statistics elective with this course to produce a full year math credit. Students concurrently enrolled in another math course which is full year may be accepted only if there is space available, and with a teacher recommendation.

Recommendation: Successful completion of Algebra and Quantitative Geometry or Geometry, and Algebra 2 or Algebra 2/ Trigonometry

This is a rigorous full year college-preparatory course in precalculus, designed to provide students with the required skills needed be successful in a college-level Calculus course. This course takes a graphical approach to the study of continuous and discontinuous functions and their graphs, circular and transcendent functions, trigonometry, and limits. Additional topics may include probability, statistics, and regression. Both a graphing calculator as well as a scientific calculator are required, and are used to reinforce, explore and investigate applications throughout the year.

Recommendation: Successful completion of Algebra, Geometry, and Algebra 2/Trigonometry, as well as a minimum grade of 80% on the NYS Algebra Regents exam.

This is an intensive, honors level course. It is full year college preparatory course in precalculus, designed to provide students with an in-depth study in advanced skills required to be successful in the three calculus courses that are taught at the school: Calculus DE, AP AB Calculus and AP Calculus BC. Major emphasis is placed on the study of: continuous and discontinuous functions and their graphs, polar coordinates and their graphs, parametric equations, and limits and derivatives. Additional honors topics may include, but are not limited to, matrices and sequences and series. Both a graphing calculator and scientific calculator are required, and are used to solve problems graphically as well as reinforce, explore, and investigate applications throughout the year. Students will take a cumulative final.

Recommendation: Successful completion of Algebra, Geometry Honors, and Algebra 2 & Trigonometry Honors. In addition, a minimum course grade of 85% in Algebra 2 & Trigonometry Honors, a minimum grade of 90% on the NYS Algebra Regents Exam, and passing grades on the Geometry Honors and Algebra 2 & Trigonometry Honors finals are also recommended.

This college level course introduces students to elementary calculus topics. The course covers the major concepts of limits, derivatives and integrals throughout the year with an exploration of applications for each. The use of a graphing calculator is included for further connections to each topic. Optional college credit is available with registration through Westchester Community College (WCC) and awarded after successful completion of the requirements for the course. Students will take a local final which may include questions designed by WCC.

Prerequisites for DE credit eligibility: Overall Average of 80+ in Algebra, Geometry and Algebra 2, and a minimum mid-year average of 80 in Pre-Calculus.

This is a non-calculus based college level survey course in Statistics. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions form data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns and statistical inference. Students must take the Advanced Placement Statistics examination in May (students are responsible for the cost of the exam), and may earn college credit by earning a passing score on the examination. After the Advanced Placement Statistics examination in May students will continue their study in statistics by working on a project that employs the concepts that were studied throughout the year. A TI-84+ graphing calculator is required. This course may be taken as a fourth math course during junior or senior year either as an elective while enrolled in another math course or on its own. Students who completed Geometry in grade 8, are advised to take this course in their senior year to avoid exhausting math options prior to senior year.

Recommendation: Successful completion of Algebra and Geometry.

This is is an introductory college calculus course that includes the study of differential and integral calculus as well as applications in these areas of study. The graphing calculator will be used for reinforcement, exploration, and the investigation of applications. Students must take the Advanced Placement Calculus AB exam in May (students are responsible for the cost of the exam), and may be eligible for college credit if they earn a passing score on the exam. After the Advanced Placement examination in May students will continue their study in calculus by working on a project that employs the concepts that were studied throughout the year.

Recommendation: Successful completion of PreCalculus Honors and a course average of 85% or higher, as well as a teacher recommendation. Completion of Summer assignment required.

This is a thorough examination of college calculus course through the study of advanced topics in differentiation and integration. Included as well, is an in-depth treatment of series and sequences, vectors, and slope fields. Students must take the Advanced Placement Calculus BC exam in May (students are responsible for the cost of the exam), and may be eligible for college credit if they earn a passing score on the exam. After the Advanced Placement examination in May students will continue their study in calculus by working on a project that employs the concepts that were studied throughout the year.

Recommendation: Successful completion of Pre-Calculus Honors with a minimum course average of 95% or higher or successful completion of AP Calculus AB with a minimum course average of 85% or better. Adherence to teacher recommendations for BC Calc is strongly recommended.

This is a 2 year course and is designed for students who enjoy describing the real world and solving practical problems using mathematics, those who are interested in harnessing the power of technology alongside exploring mathematical models and enjoy the more practical side of mathematics. This course is perfect for those students who want to explore the Social Sciences, Liberal Arts or Steam fields by applying the Math they learn to practical, real-life scenarios. As with other IB courses there is an Internal Assessment (IA) which counts as 20% of the student’s overall course score. The IA have a major writing component to it. The IA may be worked on in both year 1 and 2, timing to be determined by the teacher. In addition, there is a two-day IB final exam given at he end of year 2.

Recommendation: Students MUST be at least a Junior to take this or any other IB course. Successful completion of Geometry, Algebra 2 or either level of Algebra 2/Trig.

This is a 2-year traditional mathematics course, whereby students develop a deep understanding of mathematical concepts and solve both real and theoretical problems, with and without technology. It includes rigorous concepts combining both pure and applied mathematics, although with more emphasis on pure mathematics than the Applications and Interpretation course. The Analysis and Approaches SL course requires strong conceptual understanding, algebraic manipulation, and confidence with analytical approaches to problem solving. It is an excellent foundation for students looking to pursue further study of mathematics or science and keeps many options open for a variety of university courses. As with other IB courses there is an Internal Assessment (IA) which counts as 20% of the student’s overall course score. The IA has a major writing component to it. The IA may be worked on in both year 1 and 2, timing to be determined by the teacher. In addition, there is a two-day IB final exam given at the end of year 2.

Recommendation: Students MUST be at least a Junior to take this or any other IB course. Successful completion of Algebra 2/Trig.

This is a half-year elective course available for 9-12 graders. The course provides an introduction to computer programming for students with little or no prior programming experience. The goal of this course is to give students hands-on exposure to fundamental computer programming principles. The workshop approach of the course will give the students experience developing projects and applications. The course assumes the ability to use a computer keyboard and mouse, and a familiarity with using a Microsoft Windows operating system. Course Guidelines: Competency in Algebra is strongly recommended.

This is a beginner friendly introductory AP course that assumes no prior programming experience. Its goal is to encourage broader participation in computer science, not just students considering careers in computer science or other STEM fields. Students will gain exposure to a variety of CS concepts: hardware, digital electronics, programming in various languages, web development, algorithms, databases, computer networks, architecture of the internet, impacts of computing innovations, and ethical computing. Students will create a personal project for the AP performance task assessment which will weigh as 30% of their AP score and take an AP exam which will weigh as the remaining 70% of their AP score.

Recommendation: Competency in Algebra is strongly recommended.

This course is designed for high school students to understand the foundational structures of finance in the US economy, and how that impacts personal Areas of study taught through application in personal finance include sources of income, budgeting, banking, consumer credit, credit laws and rights, personal bankruptcy, insurance, spending, taxes, investment strategies, savings accounts, mutual funds and the stock market, buying a vehicle, and living independently. Throughout the course students will develop financial goals, and create realistic and measurable objectives to be MONEY SMART! Through project-based learning activities and tasks, students will apply mathematical concepts in realistic scenarios and will actively engage by applying the mathematics necessary to make informed decisions related to personal finance. Financial Literacy places great emphasis on problem solving, reasoning, representing, connecting and communicating financial data.

Recommendation:  Successful completion of Algebra and a pass grade on the NYS Algebra Regents exam. 

(Course description in process.)