Mathematics

Integrated Algebra (formerly Math A Parts 1 and 2)

This is the first course in the revised New York State Mathematics sequence in high school. Algebra provides tools and ways of thinking that are necessary for solving problems in a wide variety of disciplines, such as science, business, social sciences, fine arts, and technology. This course will assist students in developing skills and processes to be applied using a variety of techniques to successfully solve problems in a variety of settings. Problem situations may result in all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Coordinate geometry will be integrated into the investigation of these functions allowing students to make connections between their analytical and geometrical representations. Problem situations resulting in systems of equations will also be presented. Measurements within a problem-solving context will include calculating rates using appropriate units and converting within measurement systems. Data analysis including measures of central tendency and visual representations of data will be studied. An understanding of correlation and causation will be developed and reasonable lines of best fit will be used to make predictions. Students will solve problem situations requiring right triangle trigonometry. Elementary probability theory will be used to determine the probability of events including independent, dependant and mutually exclusive events. The graphing calculator will be used as a tool to enhance instruction

The New York State Integrated Algebra Regents exam will be administered in June.

Grades 9-12 - 1 credit

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Geometry (formerly Math A Part 3/Math B Part 1)

This is the second course in the revised New York State Mathematics sequence in high school. Students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. This course is meant to employ an integrated approach to the study of geometric relationships. Integrating synthetic, transformational, and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric figures. Congruence and similarity of triangles will be established using appropriate theorems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships. A major emphasis of this course is to allow students to investigate geometric situations. Properties of triangles, quadrilaterals, and circles should receive particular attention. It is intended that students will use the traditional tools of compass and straightedge as well as dynamic geometry software that models these tools more efficiently and accurately, to assist in these investigations. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics and something that sets it apart from the other sciences.
The New York State Geometry Regents exam will be administered in June.

Grades 9 –12, 1 credit
Pre-requisite: Integrated Algebra


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Mathematics B Parts 2 and 3

With this course, the students complete their three-year unified study of mathematics. They focus on complex numbers, relations and functions including exponential, logarithmic and circular functions. They also further develop their understanding of probability and statistics. The graphing calculator is an integral part of the Mathematics B course. Math B Regents examination is required at the end of this course.

Grades 10-12 - 1 credit

Prerequisite: Mathematics B Part I

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Pre Calculus

This course will focus on functions and their transformations including polynomial, rational, exponential, logarithmic, and trigonometric functions. Trigonometric identities, rates of change, limits, and sequences and series will be studied. This course is required for all students who intend to enroll in Advanced Placement Calculus.

Grades 11-12 - 1 credit

Prerequisite: Mathematics B

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College Calculus

This course affords students the opportunity to investigate calculus concepts through applications related to a variety of fields including business, science, engineering, and technology. Topics such as: limits and continuity, derivatives, maxima and minima, antiderivatives, definite integral, Fundamental Theorem of Calculus, and techniques for integration will be studied. The students will experience a hands-on approach through the use of the TI-89 graphing calculator and the Calculator Based Laboratory (CBL). Students will have the opportunity to earn three college credits by paying appropriate fees to Molloy College.

Grades 12 - 1 credit

Prerequisite: Mathematics B (Pre-Calculus is recommended)

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Advanced Placement Calculus AB

In this course, students study topics from analytic geometry and calculus. They study lines, conics, limits, derivatives, related rates, maxima and minima, curve sketching, slope fields, mean value theorem, differentiation of trigonometric, exponential and logarithmic functions, differential equations, the indefinite integral, area under a curve, formal integration, and differential equations. Students must take the Advanced Placement Examination in Calculus (AB level) in May.

Grade 12 - 1 credit

Co requisite: Pre Calculus Part II
Prerequisite: Pre Calculus Part I

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Advanced Placement Calculus BC

This course consists of a full academic year of work in calculus. In addition to the topics covered in Calculus AB, the BC course includes additional topics such as infinite series, logistic growth, vector functions, L'Hospital Rule, polar coordinates, proper intervals, partial fractions and arc length. Students are required to take the Advanced Placement Examination in May. The AP exam will have both a BC score and an AB subscore.

Grade 12 - 1 credit

Prerequisite: Pre Calculus

(Meets 7 1/2 periods/week)

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Multivariable Calculus

Students will learn the calculus of multivariable functions and vector fields. Before they can study the calculus of multiple dimensions, students will need to learn some concepts in Linear Algebra, such as: linear systems, matrices, matrix multiplication, properties of matrix operations, matrix transformations, solutions of linear systems of equations, the inverse matrix, cross product, dot product, Gauss-Jordan Elimination, orthogonal matrices, determinates.

Topics in the calculus component of the course will include; multivariable functions and their derivatives, partial derivates, vector fields, gradient, divergence, curl, double and triple integrals, parameterized curves, flows, line integrals, Green's theorem, and flux integrals. Additionally, students will study other topics from multivariable calculus, including Stoke's Theorem and the Divergence Theorem. (The above suggested list of topics was complied by reviewing the course requirements at the department of mathematics at Harvey Mudd College and SUNY Stony Brook and consulting lists of topics at wikipedia.org.

Grades 12, 1 credit
Pre-requisite: AP Calculus BC

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Advanced Placement Statistics

This course is designed to be comparable to a typical non-calculus-based-technology introductory statistics course taught in a college/university. The course emphasizes (1) exploring data, (2) planning a study, (3) anticipating patterns and (4) statistical inference. The graphing calculator will be the chief tool for data analysis. Students are required to take the Advanced Placement Examination in Statistics in May.

Grades 10-12 - 1 credit

Prerequisite: Math B

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Advanced Placement Computer Science

An Introductory course in programming using the Java language. The course develops important concepts including: objects, classes, inheritance, data structures, methods, arrays and algorithms. Specific case study codes are used in order for students to support their learning through the application of these techniques.

Grades 11-12 - 1 credit

Prerequisite: Mathematics B

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Pre Calculus Research

This course will include topics in our current Pre Calculus syllabus, with students delving deeper into mathematical concepts. Additional topics such as three dimensional geometry, vectors, mathematical induction, and fields will be included. A research paper will be required.

Grades 11-12 - 1 credit

Prerequisite: Successful completion of Math B with a desire to explore research in the area of mathematics.

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Introduction to Computer Science

This course is designed to be the introductory course to the computer science curriculum. The basic concepts of how a computer works and object oriented programming will be taught. Other topics that will be covered in the course include: output, input, constants, variables, expressions, decisions and basic looping structures. Structured programming will be stressed. Students will create simple 3-D movies and games using "Alice" - an interactive graphics programming environment.

Grades 9-11 - 1 credit

SAT Preparation - Math

This course is designed to prepare students for the new SAT. Students will be provided with instruction and practice in number and operations, algebra functions, geometry, statistics, probability and data analysis. Mathematical reasoning skills will be emphasized throughout this course. These areas are central to the new SAT examination. This course will be pass/fail.

Grades 10-12 - 1/4 credit

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