• MATHEMATICS

     

    Mathematics Instruction is guided by curriculum aligned to New York State Mathematics Standards and is critical in supporting student academic success.

     

    To graduate, students must earn three course credits and one Regents exam credit in mathematics at the commencement-level. The core content sequence is typically Algebra I, Geometry, and Algebra II, all commencing with a Regents exam. However, students may also choose from other commencement-level mathematics courses to acquire one of their three course credits.  Advanced Placement (AP) courses are offered and may replace a core course; or Advanced Placement courses may be taken in addition to the core sequence for elective credit.

     

    Please note:

    • Some classes are unique to a particular program or school.
    • Not every class is offered at every school.
    • Course offerings may change yearly based on student course requests and other factors.

  • MATH COURSE DESCRIPTIONS

     

    ALGEBRA I

    Course Code

    Credit

    Prerequisite

    GRADE: 9, 10

    LENGTH: 40 Weeks

    EXAMINATION: Regents Algebra I (Common Core)

    AL01R

    1.0

    Grade 8 Math

    Algebra I (Common Core) - A one-year course that provides instruction designed to prepare students for the Regents Examination in Algebra I (Common Core). This course is aligned to the New York State Learning Standards. Students will study linear equations and inequalities, linear regression models, quadratic and exponential expressions (including rational exponents), quadratic functions, and formalize and extend the concept of functions (including function notation, domain and range, and exploration of many types of functions).

     

    ALGEBRA I - YEAR 1 OF 2

    Course Code

    Credit

    Prerequisite

    GRADE: 9

    LENGTH: 40 Weeks

    EXAMINATION: N/A

    AL01GXX1

    1.0

    Grade 8 Math

    Students will learn to write, interpret, and translate between various forms of linear equations and inequalities, make conjectures about linear equation forms, and to create equations in two variables.  They will learn the properties of exponents, to create simple exponentials, and to understand polynomials. Students will also learn about data displays and to interpret graphical representations of data.  They will learn to plot and analyze residuals, and to informally assess the goodness of fit. Finally, they will learn function notation and develop the concepts of domain and range, as they explore many examples of functions.  

     

    ALGEBRA I - YEAR 2 OF 2

    Course Code

    Credit

    Prerequisite

    GRADE: 10

    LENGTH: 40 Weeks

    EXAMINATION: Regents Algebra I (Common Core)

    AL01RXX2

    1.0

    Algebra I - Year 1 of 2

    Students will learn to interpret functions graphically, numerically, symbolically, and verbally, translate between representations, and understand the limitations of various representations. They will learn to compare and contrast linear and exponential functions, and they will explore systems of equations and inequalities, as they find and interpret their solutions. Students will also create and solve equations involving quadratic and cubic expressions, learn to produce equivalent forms of an expression, and compare quadratic, linear and exponential functions. Finally, students will expand their experience with functions to include linear, exponential, quadratic, square, and cube root, and piecewise, including absolute value and step.

     

    PRINCIPLES OF ALGEBRA AND GEOMETRY

    Course Code

    Credit

    Prerequisite

    GRADE: 10, 11

    LENGTH: 40 Weeks

    EXAMINATION: N/A

    AG02G

    1.0

    Algebra I or Algebra I – Year 2 of 2, and passing Algebra I Regents exam

    Principles of Algebra and Geometry - A course that combines the study of some pre -algebra and algebra topics with introductory geometry topics.

     

    SURVEY OF GEOMETRY

    Course Code

    Credit

    Prerequisite

    GRADE: 10, 11

    LENGTH: 40 Weeks

    EXAMINATION: Regents Algebra I (Common Core) 

    AG01G

    1.0

    Algebra I Regents or Algebra I – Year 2 of 2 course

    Survey of Geometry - A course that combines the study of some pre -algebra and algebra topics with introductory geometry topics. Students are required to take the Algebra I Regents examination in January.

     

    GEOMETRY

    Course Code

    Credit

    Prerequisite

    GRADE: 9, 10, 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: Regents Geometry (Common Core)

    GE01R

    1.0

    Algebra 1, Principles of Algebra and Geometry, or Survey of Geometry course

    Geometry (Common Core) - A course emphasizing an abstract, formal approach to the study of geometry. It typically includes topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles. Instruction around these topics are designed to prepare students for the Geometry Regents Examination (Common Core).

     

    ALGEBRA II

    Course Code

    Credit

    Prerequisite

    GRADE: 10, 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: Regents Algebra II (Common Core)

    AL02R

    1.0

    Algebra I and/or Geometry

    Algebra II (Common Core) – A course that provides instruction designed to prepare students for the Algebra II Regents Examination (Common Core). It is a one-year course that counts towards a student’s mathematical commencement requirements and meets New York State’s mathematics requirements towards earning a Regents Diploma or a Regents Diploma with Advanced Designation. It is aligned to the New York State Learning Standards. In Algebra II, students will further develop the concepts learned in Algebra I and Geometry and extend those into advanced algebraic applications that require more complex and technical calculations and transformations, but sense-making is still paramount. Topics of study include: the Real and Complex Number systems; seeing structure in expressions; arithmetic with polynomials and rational expressions; creating equations; reasoning with equations and inequalities; building and interpreting functions; linear, quadratic, logarithmic, and exponential models; trigonometric functions; expressing geometric properties with equations; interpreting categorical and quantitative data.

     

    PRECALCULUS

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: N/A

    PC04G

    1.0

    Algebra II

    Pre-Calculus courses combine the study of trigonometry, elementary functions, analytic geometry, and math analysis topics as preparation for calculus. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity.

     

    CALCULUS

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: N/A

    CA04G

    1.0

    Pre-Calculus

    Calculus General - Calculus courses include the study of derivatives, differentiation, integration, the definite and indefinite integral, and applications of calculus. Typically, students have previously attained knowledge of pre-calculus topics (some combination of trigonometry, elementary functions, analytic geometry, and math analysis).

      

    ADVANCED PLACEMENT (AP) CALCULUS AB

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: Advanced Placement Exam for Calculus

    CA04XP

    1.0

    Pre-Calculus or Algebra II

    Following the College Board's suggested curriculum designed to parallel college-level calculus courses, Advanced Placement Calculus AB provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications. These courses introduce calculus and include the following topics: elementary functions; properties of functions and their graphs; limits and continuity; differential calculus (including definition of the derivative, derivative formulas, theorems about derivatives, geometric applications, optimization problems, and rate-of-change problems); and integral calculus (including antiderivatives and the definite integral).

    NB: Institutions of higher education may grant college credit to students who earn a passing score on the AP exam that is offered at the end of this course.

     

    ADVANCED PLACEMENT (AP) STATISTICS

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    EXAMINATION: Advanced Placement Exam for Statistics

    ST04XP

    1.0

    Algebra II

    Following the College Board's suggested curriculum designed to parallel college-level statistics courses, Advanced Placement Statistics courses introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference.  

    NB: Institutions of higher education may grant college credit to students who earn a passing score on the AP exam that is offered at the end of this course.

     

    INTERNATIONAL BACCALAUREATE (IB) MATHEMATICAL ANALYSIS & APPROACHES SL

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks                                                 

    OFFERED: City Honors School #195

    EXAMINATION: IB assessments in Mathematics A&A

    AA03I

    1.0

    Algebra II

    This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. The focus is on developing important mathematical concepts in a comprehensible, coherent, and rigorous way, achieved by a carefully balanced approach. Students apply their mathematical knowledge to solve abstract problems, as well as those set in a variety of meaningful contexts. The course has as strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. Students develop insight into mathematical form and structure and should be intellectually equipped to appreciate the links between the concepts in different topic areas. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments.

    Note: Institutions of higher education may grant college credit to students who earn a passing score on the IB assessments in this course.

     

    INTERNATIONAL BACCALAUREATE (IB) MATHEMATICAL APPLICATIONS & INTERPERTATION SL

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks                                                 

    OFFERED: City Honors School #195

    EXAMINATION: IB assessments in Mathematics A&I

    AI03I

    1.0

    Algebra II

    This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. It emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or mathematical modeling. To give this understanding, the course includes topics from calculus and statistics. Students are encouraged to solve real-world problems, construct, and communicate this mathematically, and interpret the conclusions of generalizations. Students should expect to develop strong technology skills and will be intellectually equipped to appreciate the links between the theoretical and the practical concepts in mathematics. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments.

    Note: Institutions of higher education may grant college credit to students who earn a passing score on the IB assessments in this course.

     

    COMPUTER PROGRAMMING – TI-Nspire Exploration

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    OFFERED: Lewis J. Bennett High School of Innovative Technology #363

    EXAMINATION: N/A

    TI05G

    1.0

    Algebra 1

    Geometry

    Computer Math with Algebra is intended for students who have attained the objectives of Algebra I. Computer Mathematics with Algebra course included a study of computer systems and programming and use the computer to solve mathematics problems. This course will explore computer programming using the TI-Nspire graphing calculator and the TI-Innovator Hub and Rover. Students will learn to program the TI-Npire to control its accessories, and they will use that knowledge to solve to solve mathematics and real-world problems.

     

    DATA SCIENCE

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    OFFERED: This course will be available at all BPS High Schools

    EXAMINATION: N/A

     DS03G

     1.0

     Algebra I

     Geometry

    Students will learn to be data explorers in project-based units, through which they will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more.

     

     

    ECC – COLLEGE MATHEMATICS 

    Course Code

    Credit

    Prerequisite

    GRADE: 11 or 12

    LENGTH: 40 Weeks

    OFFERED: This course will be available at all BPS High Schools.

    EXAMINATION: N/A

     ?

     1.0

    Algebra I 

    Geometry

    A dual enrollment course in college algebra and trigonometry, that is introductory to calculus. This course covers basic algebra skills are reviewed and extended. Functions, in general, and their inverses are studied along with the properties, graphs and transformations of linear, quadratic, absolute value, radical, rational, logarithmic and exponential functions. Equations of the above functions as well as linear systems of equations and linear and absolute value inequalities are solved. Related application problems are incorporated throughout.  Upon successful completion students will be awarded NYS HS course credit as well as ECC course credit.

     

    OCCUPATIONAL MATH FOR MACHINISTS AND WELDERS

    Course Code

    Credit

    Prerequisite

    GRADE: 11, 12

    LENGTH: 40 Weeks

    OFFERED: Burgard High School #301

    EXAMINATION: N/A

    OM01G

    1.0

    Student must be on CTE track at Burgard High School

    This is an occupationally applied mathematics course that reinforces general mathematics skills, including pre-algebra and algebra topics used primarily in machinist and welding occupational applications. Course topics include rational numbers, measurement, basic statistics, ratio and proportion, geometry, formulas, and simple equations.  This course prepares students to take a culminating exam in their CTE Advanced Manufacturing program in partnership with Alfred State.