*indicates a math lab is offered in conjunction with a student's math class, giving him or her an extra period of math on alternate days.
ALGEBRA - (Year Course, 1 Unit, Grade 9) - This course will foster a deeper understanding of algebraic ideas. Topics include properties of operations, functions, systems of linear equations and inequalities, factoring techniques, quadratic functions, transformations of functions, and statistics. All students will take a district final exam in June.
ALGEBRA 1* - (Year Course, 1 Unit, Grade 9, 10) - The fundamental purpose of this course is to deepen and extend understanding of linear, quadratic, and exponential relationships. Students will analyze and explain the process of solving equations and inequalities; analyze, solve, and use quadratic functions to solve problems; learn regression techniques to describe linear and exponential relationships between quantities. Students expand upon functions such as absolute value, step, and those that are piecewise defined. They will select from among these functions to model phenomena using the modeling cycle. All students will take a Regents exam in June.
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APPLIED GEOMETRY - (Year Course, 1 Unit, Grade 10, 11 12) - In this course students discover, learn, and apply the basics of geometry by using a discovery approach to identify the properties of geometry by observing, investigating, and forming their own conclusions. Topics include inductive reasoning, angles, triangles, quadrilaterals, circles, coordinate geometry, perimeter, area, volume, transformations, congruence, similarity, and trigonometric relationships. The students will expand upon their Algebra 1 skills while learning to appreciate how often geometry is used in ways that relate directly to everyday life. This course ends in a final exam. Pre-requisite: Successful completion of Algebra 1.
GEOMETRY with Lab*, GEOMETRY, GEOMETRY H - (Year Course, 1 Unit, Grades 9, 10) - In this course students will explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. They will establish triangle congruence criteria based on analyses of rigid motion and formal constructions, prove theorems, and solve problems about triangles, quadrilaterals, and other polygons. Students' experience with two-dimensional and three-dimensional objects is extended to include informal explanations of circumference, area, and volume formulas. Students will also prove basic theorems about circles and use a rectangular coordinate system to verify geometric relationships. All students will take a Regents exam in June.
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INTERMEDIATE MATH TOPICS - (Year Course, 1 Unit, Grades 11, 12) - This is an advanced algebra course that expands on the topics of Algebra 1 and provides further development of the concept of a function. The expanded topics of the course include polynomials and polynomial functions, rational exponents, the complex numbers, probability and statistics, trigonometry, and exponential and logarithmic functions. All students will take a district final exam in June.
ALGEBRA 2 with Lab*, ALGEBRA 2, ALGEBRA 2H - (Year Course, 1 Unit, Grades 10, 11) - Building on work with linear, quadratic, and exponential functions from Algebra 1, 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. Building on previous work with trigonometric rations and circles in Geometry, students extend trigonometric functions to all (or most) real numbers and begin building fluency with the values of sine, cosine, and tangent using the unit circle. Students will also compute and interpret probabilities for compound events, attending to mutually exclusive events, independent events, and conditional probability. All students will take a Regents exam in June.
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STATISTICS - (Year Course, 1 Unit, Grade 10, 11, 12) - This course is a practical hands-on approach to the study of statistics and probability utilizing project-based learning. It will provide students with an introduction to statistics by focusing on data collection and analysis including topics such as sampling, surveys, experimental design, organizing data, distributions, regression, probability, and inference. Students will see how fields outside of mathematics use statistics to analyze and interpret data to make informed decisions. Simulations and activities are designed to aid students' understanding of real-world phenomena. With the assistance of technology, they will apply the concepts in a myriad of ways to critically analyze and synthesize information. Pre-requisite: Successful completion of two years of high school level math.
ADVANCED PLACEMENT STATISTICS - (Year Course, 1 Unit, Grades 10, 11, 12) - This course will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course content is based on that of a typical one-semester introductory college course in statistics. Topics include data description, probability concepts, and estimation procedures, statistical hypothesis testing, correlation and regression analysis. Emphasis is placed on planning and conducting statistical experiments. This course is suitable for students interested in the social sciences, health science, or business administration. It is also an effective preparation for the upper-level calculus-based statistics course often taken by math, science, and engineering majors. College credit may be obtained by scoring well on the AP exam. Prerequisite: Algebra 2. Students may take this course concurrently with Algebra 2, subject to departmental approval.
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COLLEGE PRE-CALCULUS HONORS - (Year Course, 1 Unit, Grade 11) - This fourth-year math course is an accelerated math course dealing with various topics from advanced algebra, analytic geometry, and introductory calculus. These topics are essential to establishing an adequate background for the study of higher mathematics. A district final examination is given at the conclusion of the course. Prerequisite: Algebra 2A and successful completion of Algebra 2 Regents exam. This course is offered for college credit.
COLLEGE PRE-CALCULUS - (Year Course, 1 Unit, Grades 11, 12) - This is a fourth-year math course designed to provide a firm foundation for college mathematics. Topics include work with the theory of equations, complex numbers, polar graphing, analytic geometry, and an intuitive introduction to differential calculus using algebraic functions. A district final exam is given at the conclusion of the course. Prerequisite: Algebra 2. This course is offered for college credit.
College Precalc registration information
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COLLEGE FINITE MATHEMATICS THROUGH APPLICATIONS - (Year Course, 1 Unit, Grade 12) - Students taking this course that plan on majoring in Liberal Arts in college may be able to earn college credits through St. John's University. This college-level course provides a quantitative approach to an understanding and interpretation of mathematics in the liberal arts fields. 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. There is a mid-year and an end-of-year final examination. Prerequisite: Three years of math and the successful completion of the Algebra 2 Regents.
College Finite Math registration information
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CONTEMPORARY MATH - (Year Course, 1 Unit, Grades 11, 12) - This course is recommended for students who need a third year of math to complete the State requirement. This course is designed to give students a firm problem-solving foundation that can be utilized in the study of higher mathematics and real life situations. Students will be exposed to numerous problem-solving strategies, and these techniques will be applied to topics such as intermediate algebra, geometry, trigonometry, matrices, logic, probability, statistics, functions, business applications, and SAT questions. Prerequisite: Two years of math and successful completion of the Algebra 1 Regents.
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SAT/ACT STRATEGIES - (Semester Course, 3/2 Unit, Grade 11) - This course will focus on the math skills essential for success on the SAT and ACT exams, with the ultimate goal of preparing students for the rigors of college-level mathematics. It is also designed to enhance the problem-solving, critical thinking, and reasoning skills of college-bound students.
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CALCULUS HONORS - (Year Course, 1 Unit, Grade 12) - This course is recommended for students who have completed their junior year at the enriched level, but desire a calculus experience less demanding than Advanced Placement Calculus. This course covers most of the AP Calculus topics in a less rigorous, slower-paced manner. A district final exam is given at the conclusion of the course. Prerequisite: College Pre-Calculus or College Pre-Calculus Honors.
ADVANCED PLACEMENT CALCULUS AB - (Year Course, 1 Unit, Grade 12) - This course is equivalent to a first-year college calculus course. Topics include the study of limits, the derivative as a rate of change, applications of differentiation, integrals as net rate of change, and applications of integration. It is assumed that all students will take the AP exam at the end of this course. College credit may be obtained by scoring well on the AP exam. Prerequisite: Algebra 2A, College Pre-Calculus Honors. (Possible interviews by course teacher, counselor, chairperson, or principal.)
ADVANCED PLACEMENT CALCULUS BC* - (Year Course, 1 1/2 Units, Grade 12) - 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. College credit may be obtained by scoring well on the AP exam. Prerequisites: Algebra 2A, College Pre-Calculus Honors. (Possible interviews by course teacher, counselor, chairperson, or principal.) *This course includes an additional period of instruction on alternating days