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    MATHEMATICS
    Dept. Chairperson: Casey Bannon

    To graduate and earn a Local Diploma: Students with disabilities entering grade 9 in 2011 or
    later MUST earn three (3) math units of credit and score between 55 and 64 on the Common Core
    Algebra 1 Regents exam. Requirements change based upon the year the student entered the ninth
    grade. Students should contact guidance for more information.

    To graduate and earn a Regents Diploma: Students entering grade 9 in 2011 or later MUST earn
    three (3) math units of credit and a grade of 65% or better on the Common Core Algebra 1 Regents
    exam.

    To graduate and earn a Regents Diploma with Advanced Designation: Students graduating in
    2011 or later MUST have a grade of 65% or better on the Common Core Algebra 1 Regents exam
    AND the Common Core Geometry Regents exam AND the Common Core Algebra 2 Regents exam.
    College Bound Students: Colleges prefer students to have taken 4 years of math in high school.
    New York State asserts that for students to be college and career ready they should take 4 years of
    math in high school.

    College Bound Athletes: Students planning to attend an NCAA school must choose from an
    approved list of courses. Please see your guidance counselor for more information.
     
    We use calculators every day in most of our math courses.  The best calculator to invest in would be a TI-84. 


    ALGEBRA
    CC ALGEBRA - ACADEMIC INTERVENTION SERVICES (AIS)

    NO CREDIT
    Algebra AIS is offered for the student who has not achieved a score of proficiency on the Common
    Core Algebra 1 Regents exam. This math class is non-credit pass/fail where students meet on either
    A or B days. The purpose of the class is to give concentrated and individualized targeted instruction
    directed towards the Common Core Algebra 1 Regents exam. Students MUST pass the Common
    Core Algebra Regents exam in order to earn a NYS Regents diploma.

    COMMON CORE ALGEBRA R

    1 UNIT OF CREDIT
    This is a one year course preparing students for the Common Core Algebra Regents exam. The
    topics include quantities and reasoning with equations and their graphs, descriptive statistics, linear
    and exponential functions, polynomial and quadratic expressions, equations and functions, and a
    synthesis of modeling with equations and functions. The Common Core Algebra Regents Exam will
    be given at the end of the year. Students MUST pass this course to move on to Common Core

    Geometry or Common Core Geometry R. Students must take the Common Core Algebra Regents
    exam in June. Students must pass the Common Core Algebra Regents exam to earn a NYS Regents
    diploma.

    COMMON CORE ALGEBRA L

    1 UNIT OF CREDIT
    This is the first year of a two year program preparing students for the Common Core Algebra
    Regents exam. This course will meet for two periods per day and is designed to give students extra
    time to strengthen their overall mathematical background as required by academic intervention
    services. The topics include relationships between quantities and reasoning with equations and
    their graphs, descriptive statistics, and linear and exponential functions. Students MUST pass this
    course to move on to Common Core Algebra LR.

    COMMON CORE ALGEBRA L-R

    1 UNIT OF CREDIT
    This is the second year of a two year program preparing students for the Common Core Algebra
    Regents exam. The topics include linear and exponential functions, polynomial and quadratic
    expressions, equations and functions, and a synthesis of modeling with equations and functions.
    The Common Core Algebra Regents exam will be given at the end of the year. Students MUST pass
    this course to move on to Financial Algebra or Common Core Geometry or Common Core Geometry
    R.
    Prerequisite: Credit in Common Core Algebra L. Extenuating circumstances must be approved by
    the department chair.

    FINANCIAL ALGEBRA

    1 UNIT OF CREDIT
    This is a one year course designed for students as an option for a third unit of mathematics credit.
    The course employs algebra, pre-calculus, probability and statistics, calculus and geometry to solve
    financial problems that occur in everyday life. Real-world problems in investing, credit, banking,
    auto insurance, mortgages, employment, income taxes, budgeting and planning for retirement are
    solved by applying the relevant mathematics. Field projects, computer spreadsheets, and graphing
    calculators are key components of the course.
    Prerequisite: Credits in Common Core Algebra L and Common Core Algebra LR. A student who
    has taken any level of Geometry will NOT be allowed to take this course to fulfill their math credit
    requirement but may take it as an elective credit. Extenuating circumstances must be approved by
    the department chair.

    COMMON CORE ALGEBRA 2

    1 UNIT OF CREDIT
    This is a one year course for the student who has passed Common Core Geometry. The topics
    include rational expressions, rational, irrational and complex numbers, quadratic equations and
    functions, sequences and series, relations and functions, exponents and exponential functions,
    logarithms, an introduction to trigonometry, and trigonometric graphs. A cumulative local final
    exam will be given at the end of the year.

    Prerequisite: Credits in Common Core Algebra and Common Core Geometry and a passing
    score on an Algebra Regents exam. Extenuating circumstances must be approved by the
    department chair.

    COMMON CORE ALGEBRA 2 R

    1 UNIT OF CREDIT
    This is a one year course preparing students who have passed Common Core Geometry R for the
    Common Core Algebra 2 Regents exam. The topics include polynomial, rational, and radical
    relationships, trigonometric functions, functions, and inferences and conclusions from data. The
    Common Core Algebra 2 Regents exam and will be given at the end of the year. Students MUST pass
    this course to move on to Pre-Calculus.
    Prerequisite: Credits in Common Core Algebra and Common Core Geometry and passing
    scores on the Common Core Algebra and Common Core Geometry Regents
    exams. Extenuating circumstances must be approved by the department chair.

    COMMON CORE ALGEBRA 2 AD

    1 UNIT OF CREDIT
    This is a one year course preparing students for the Common Core Algebra 2 Regents exam. The
    topics include polynomial, rational, and radical relationships, trigonometric functions, functions,
    and inferences and conclusions from data. The topics will be more extensively covered and the
    degree of difficulty of the problems increases from Common Core Algebra 2 R. The Common Core
    Algebra 2 Regents exam will be given at the end of the year. Students MUST pass this course with a
    grade of 88 or better to move on to College Algebra & Trig and must meet the requirements of
    SUNY Orange, including a minimum grade on the Regents exam, to qualify to take College Algebra &
    Trig for SUNY Orange college credit.
    Prerequisite: Grade of 88 in Common Core Geometry AD and passing scores on the Algebra
    Regents exam and the Geometry Regents exam. Extenuating circumstances must be approved
    by the department chair.

    GEOMETRY

    COMMON CORE GEOMETRY

    1 UNIT OF CREDIT
    This is a one year course for the student who has passed the Algebra Regents. The topics include
    fundamentals of congruence, analytic proof and constructions, connecting Algebra and Geometry
    through coordinates, and circles with and without coordinates. A local final exam will be given at the
    end of the year. Students MUST pass this course to move on to Common Core Algebra 2 or
    Common Core Geometry R.
    Prerequisite: Credit in Common Core Algebra R OR Credits in Common Core Algebra L and
    Common Core Algebra LR. Extenuating circumstances must be approved by the department chair.

    COMMON CORE GEOMETRY R

    1 UNIT OF CREDIT
    This is a one year course preparing students for the Common Core Geometry Regents exam. The
    topics include congruence, proof and constructions, similarity, proof and trigonometry, connecting
    Algebra and Geometry through coordinates and circles with and without coordinates. The Common

    Core Geometry Regents will be given at the end of the year. Students MUST pass this course to
    move on to Common Core Algebra 2 or Common Core Algebra 2 R.
    Prerequisite: Credit in Common Core Algebra R, a passing score on the Common Core Algebra
    Regents exam, and teacher recommendation. Extenuating circumstances must be approved by
    the department chair.

    COMMON CORE GEOMETRY AD

    1 UNIT OF CREDIT
    This is a one year course preparing students for the Common Core Geometry Regents exam. The
    topics include congruence, proof and constructions, similarity, proof and trigonometry, connecting
    Algebra and Geometry through coordinates and circles with and without coordinates. The topics will
    be more extensively covered and the degree of difficulty of the problems increases from Common
    Core Geometry R. The Common Core Geometry Regents will be given at the end of the year.
    Students MUST pass this course with an 88 to move on to Common Core Algebra 2 AD.
    Prerequisite: Grade of 90 in Algebra AD and a passing score on the Common Core Algebra
    Regents exam. Extenuating circumstances must be approved by the department chair.

    ELECTIVES and ADVANCED CLASSES

    PROBABILITY and STATISTICS

    1 UNIT OF CREDIT
    This course is designed to provide the student with an understanding of the persuasiveness of
    probability and statistics in today’s society and the means to use the concepts and formulas to
    problem solve. Topics included are data collection techniques, calculating probabilities, data
    distributions, hypothesis testing, regression and analysis, expected values, conditional probability,
    binomial and normal distribution, data analysis (random sampling and sampling distribution), and
    measures of association. Examples may come from analysis of random events, games of chance,
    and economic cycles. These fundamental concepts of statistical theory with an applied approach is
    designed to create savvy “statistical consumers”, able to understand, evaluate, and analyze
    quantitative evidence presented in the media on issues relevant to citizens in our society today. A
    local final exam will be given at the end of the year. This course is an elective and will not count
    towards the 3 required credits in mathematics for graduation.
    Prerequisite: Credit in Geometry R OR Algebra 2 (any level). Extenuating circumstances may be
    approved by the department chair.

    INTRODUCTION TO COMPUTER TECHNOLOGY

    ½ UNIT OF CREDIT
    This is a one semester course and is the first course students take in preparation for taking future
    computer programming or additional technology courses. Topics include computer fundamentals,
    applications, and communications. Students will use the internet for research, Alice program for 3-D
    animation, word processing, spreadsheet database, and presentation software. There is a local final
    exam given at the end of this course.

    AP COMPUTER SCIENCE PRINCIPLES

    1 UNIT OF CREDIT
    The AP Computer Science Principles course is designed to be equivalent to a first-semester
    introductory college computing course. In this course, students will develop computational thinking
    skills vital for success across all disciplines, such as using computational tools to analyze and study
    data and working with large data sets to analyze, visualize, and draw conclusions from trends. The
    course engages students in the creative aspects of the field by allowing them to develop
    computational artifacts based on their interests. Students will also develop effective communication
    and collaboration skills by working individually and collaboratively to solve problems, and will
    discuss and write about the impacts these solutions could have on their community, society, and
    the world.
    Prerequisite: Credit in Algebra (Algebra R OR Algebra L and Algebra LR). A sophomore taking
    this course must have completed Intro to Computer Technology. Extenuating circumstances
    may be approved by the department chair.


    COLLEGE PREP MATH

    1 UNIT OF CREDIT
    This is a full year course designed for the student who has successfully completed CC Algebra 2 and
    is not enrolled in Pre-Calculus or Calculus, but who desires instruction which will help prepare the
    student for college entrance exams in mathematics. The topics include trigonometry and college
    algebra topics including radicals, solving and graphing systems of equations, quadratics, algebraic
    fractions, logarithms, and functions. A local final exam will be given at the end of the year.
    Prerequisite: Credit in Common Core Algebra 2. Extenuating circumstances must be approved by
    the department chair.

    COLLEGE ALGEBRA and TRIGONOMETRY

    1 UNIT OF CREDIT
    This is a full year pre-calculus course. The topics include extensive work with functions,
    transformation of graphs, rational roots of polynomials, finite sequences and series, trigonometry,
    analytic geometry, factoring methods, conic sections, polar coordinates, and complex numbers. The
    topics will be covered more extensively, to a greater degree of difficulty, and at a faster pace than in
    Pre-Calculus. A SUNY Orange final exam will be given at the end of each semester and a local
    cumulative final exam will be given at the end of the year. Students MUST pass this course to move
    on to AP Calculus (AB). To qualify to enroll in College Algebra and College Trig through SUNY Orange
    students must meet the requirements of SUNY Orange, including a minimum score on the CC
    Algebra 2 Regents exam. Those students will receive 3 college credits for EACH course upon
    successful completion (possible 6 credits).
    Prerequisite: Credit in Algebra 2 AD and passing scores on the Common Core Algebra,
    Geometry and Algebra 2 Regents exams. Students who took Pre-Calculus in their junior year
    may also enroll in this course in their senior year. Extenuating circumstances must be approved
    by the department chair.

    PRE-CALCULUS

    1 UNIT OF CREDIT
    This is a full year pre-calculus course. The topics include complex numbers and transformations,
    vectors and matrices, rational and exponential functions, trigonometry, and probability and
    statistics. A local final exam will be given at the end of the year.
    Prerequisite: Credit in Common Core Algebra 2 R. Extenuating circumstances must be approved
    by the department chair.

    ADVANCED PLACEMENT CALCULUS (AB)

    1 UNIT OF CREDIT
    This is a full year calculus course. It is equivalent to at least one semester of college calculus. The
    theoretical and practical topics include limits, continuity, applications of derivatives, such as, related
    rates, max-min problems and rectilinear motion, and integrals and their applications, such as, area
    under a curve and volume of revolution. Other topics include slope fields, exponential, logarithmic,
    and trigonometric functions. A local final exam will be given at the end of the course and the AP
    exam may be taken in May. College credit, as determined by each college, may be awarded for this
    course to those students who pass the AP exam.
    Prerequisite: College Algebra & Trigonometry. Extenuating circumstances must be approved by
    the department chair.