 ## Mathematics

Pre Algebra:

This course will place a strong emphasis on the continued study of integers, order of operations, variables, expressions, and equations. Students will solve and graph equations and inequalities, write and solve proportions, and explore geometry, statistics, and graph concepts. Problem solving will be emphasized throughout the course. This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course.

Algebra I:

Algebra I is a course in which students learn how to solve problems by using variables to represent unknown quantities and then solving for those unknown quantities by writing equations and inequalities. Course topics include a review of the order of operations with integers, solving equations, and simplifying expressions. Students will work extensively on solving and graphing linear and quadratic equations and inequalities. Additional topics will include rules of exponents, factors and polynomials, polynomial fractions, the Cartesian coordinate plane, radicals, and the quadratic formula.This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

Algebra II:

This course is designed to build on algebraic and geometric concepts.  It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, and concepts and includes the study of trigonometric functions.  It also introduces matrices and their properties.  The content of this course are important for students’ success on both the ACT and college mathematics entrance exams.This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

Geometry:

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions.  It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed.  It also emphasizes writing proofs to solve (prove) properties of geometric figures. This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

Trigonometry:

This course in mathematics is divided into two sections.  The first section is a study of trigonometry from both the theoretical approach and the application of the concepts in real life problems.  This course provides an extensive study of analytical trigonometry that includes the use of fundamental identities and the verification process or proof of these identities, the solving of trigonometric equations in preparation for calculus along with the relationships of angles using the sum and difference formulas, multiple angle formulas, product – to – sum formulas  and other trigonometric relationships.  The study of trigonometry will set the foundation for an introduction to polar coordinates as used in physics. The second section of this course deals with Pre-Calculus.  It includes a study of polynomial functions, rational functions, exponential functions, logarithmic functions along with an extensive study of conic sections using the standard equation form.  It includes converting standard equations to common equation form and its reverse. This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

Pre-Calculus:

This course is designed to cover topics in Algebra ranging from polynomial, rational, and exponential functions to conic sections.  Trigonometry concepts such as Law of Sines and Cosines will be introduced.  Students will then begin analytic geometry and calculus concepts such as limits, derivatives, and integrals.  This class is important for any student planning to take a college algebra or college pre-calculus class. This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

Calculus:

Calculus is a transition course to upper-division mathematics and computer science courses. Students will extend their experience with functions as they study the fundamental concepts of calculus: limiting behaviors, difference quotients and the derivative, Riemann sums and the definite integral, antiderivatives and indefinite integrals, and the Fundamental Theorem of Calculus. Students review and extend their knowledge of trigonometry and basic analytic geometry. Important objectives of the calculus sequence are to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics. In particular, students learn how to apply the tools of calculus to a variety of problem situations.This course can be adapted to meet the standards of the New York Regents.

Length: This is a full year course

AP Calculus AB:

This course follows the syllabus and guidelines as set forth by AP Central. AP Calculus AB is the study of limits, derivatives, definite and indefinite integrals, and the Fundamental Theorem of Calculus . Consistent with AP philosophy, concepts will be expressed and analyzed geometrically, numerically, analytically, and verbally.

Length: This is a full year course.

AP Calculus BC:

This course follows the syllabus and guidelines as set forth by AP Central. The Advanced Placement Calculus BC course is equivalent to both the Calculus I and Calculus II college-level courses. AP Calculus BC builds upon prior knowledge in previous mathematics course work. Students will explore topics within the four big ideas covered in the course: (1) limits, (2) derivatives, (3) integrals and (4) series. This course allows students to gain conceptual understanding through discussions, group activities and investigations. Students will learn how to use the graphing calculator to help solve problems, experiment, interpret results, and support conclusions.

Length: This is a full year course.

AP Microeconomics:

This course follows the syllabus and guidelines as set forth by AP Central. The AP Microeconomics course provides students with an understanding of the principles of economics as they apply to individual decision-making units, including individual households and firms. The course examines the theory of consumer behavior, the theory of the firm, and the behavior of profit-maximizing firms under various market structures. Students evaluate the efficiency of the outcomes with respect to price, output, consumer surplus, and producer surplus. They examine the behaviors of households and businesses in factor markets, and learn how the determination of factor prices, wages, interest, and rent influence the distribution of income in a market economy.

Length: This is a full year course.

AP Macroeconomics:

This course follows the syllabus and guidelines as set forth by AP Central. The AP Microeconomics is intended to give students a thorough understanding of the principles of economics that apply to an economic system as a whole. Such a course places particular emphasis on the study of national income and price-level determination and also develops students’ familiarity with economic performance measures, the financial sector, stabilization policies, economic growth and international economics.

Length: This is a full year course.

Statistics:

In this course, students will work with probability, data collection, descriptive and inferential statistics, probability, and technological tools to analyze statistics. The main foci of the course will be exploring data, planning a study, producing models using probability theory, and making statistical inferences. Students will work with statistical measures of centrality and spread, methods of data collection, methods of determining probability, binomial and normal distributions, hypothesis testing, and confidence intervals. Students will use multiple representations to present data including written descriptions, numerical statistics, formulas, and graphs.

Length: This course can be offered in either one or two semesters.

AP Statistics:

This course follows the syllabus and guidelines as set forth by AP Central. The AP Statistics course will focus on four major themes: exploratory data analysis, designing studies, probability models and simulation, and statistical inference. Students develop strategies for collecting, organizing, analyzing, and drawing conclusions from 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-83 graphing calculator and Web-based java applets 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.

Length: This is a full year course.

Length: This is a full year course.

Accounting:

This course introduces students to the fundamental principles and procedures of accounting. Students will develop financial analysis and decision-making skills that will assist them in future studies and/or career opportunities in business. Students will acquire an understanding of accounting for a service and a merchandising business, computerized accounting, financial analysis, and ethics and current issues in accounting.

Length: This is a full year course.

Real-Time Math:

Many students go through their years in school wondering how the math they are learning will actually help them in their daily lives. In this course students will gain an understanding of how math concepts can be used to be more productive and to actually save money. Students will have hands-on projects including budget creation, taxes, opening bank accounts, applying for loans, etc.

Length: This course can be offered as either a 1 semester or as a full year course.

Torah Math:

Math concepts are featured throughout Tanakh as well as in the Talmud. There are many examples of math concepts, both simple and advanced, being used to explain Mitzvot and/or to describe various items. In this course students will gain insights on how math concepts can be used to better understand Halacha and general Torah concepts. Students will examine both the textual descriptions as well as the math ideas/executions. When possible, students will also work with 3D printers and other tech based tools to create scale models.

Length: This course can be offered as either a 1 semester or as a full year course.

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