Mathematics Department

Math Courses

Graduation Requirements: In order to fulfill the graduation requirements in mathematics, a student must successfully complete three (3) credits of mathematics and pass one (1) of the Regents Exams in math to obtain a Regents Diploma and three (3) Regents examinations for an Advanced Regents Diploma.

Algebra 1A - 1 credit

Prerequisite: Math 8

This course culminates in a school final examination following the study of the first half of the NYS Integrated Algebra course. Topics covered include properties of numbers, linear equations in one variable, inequalities, polynomials, factoring, and percents with an emphasis on problem solving strategies. The students will take the Algebra I exam in January of their second year. A graphing calculator is recommended.

Math 1 - 1 credit

Prerequisite: Math 8 or teacher recommendation

This Integrated Algebra course is the first course in a four year program that concludes with Math 4. The focal point of the class is the algebra content strand. 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. Topics include linear equations in one variable, quadratic functions with integral coefficients, absolute value and exponential functions as well as coordinate geometry. A Regents exam in June concludes the course. A graphing calculator is recommended.

Algebra 1B - 1 credit

Prerequisite: Algebra 1A or teacher recommendation

This course is year two of the Algebra I sequence. Topics covered in the first semester include quadratic equations, systems of equations, exponential functions, statistics and probability. At the end of the first semester students will take the Algebra I regents exam. During the second semester, students will be introduced to topics in geometry, including, but not limited to area, surface area, and volume. A graphing calculator is recommended.

Geometry – (Non-Regents) – 1 credit

Prerequisite: Math 1 or Algebra 1A

This course is an integrated approach to the study of geometric relationships. The emphasis will be a hands-on approach to better understand the geometric properties and concepts. Topics include triangle properties, quadrilaterals, circles, and coordinate geometry. This geometry-based course culminates in a local final. A graphing calculator is recommended.

Math 2 - 1 credit

Prerequisite: Math 1 and teacher recommendation

This course is the second course in a four year program designed to conclude with Pre-Calculus. The syllabus is Geometry, the second of a three year program designed by New York State. Students will continually use formal Euclidean proofs to make conjectures. Topics include congruence and similarity of triangles using theorems, transformations, quadrilaterals, and circles. Geometry software as well as a compass and straightedge will be used for required constructions. The course concludes with the NYS Regents Geometry Exam in June. A graphing calculator is recommended.

Math 2H- Honors - 1 credit

Prerequisite: Teacher recommendation

This course is the first course in a four year program designed to conclude with Advanced Placement Calculus. An honors course for specially selected ninth grade students, this enriched course covers the New York State Geometry curriculum on an intensive level. Students will continually use formal Euclidean proofs to make conjectures about geometric situations. Topics include congruence and similarity of triangles using theorems, transformations, quadrilaterals, and circles. The course concludes with the NYS Regents Geometry Exam in June. A graphing calculator is recommended.

Math 11 I (non-regents) – 1 credit

Prerequisite: Algebra 1B or teacher recommendation

This course is designed for the student who has completed Integrated Algebra. Topics include geometry, Euclidean proofs, functions, transformations, sequencing, probability and statistics.

Algebra 2 (non regents) – 1 credit

Prerequisite: Geometry or Math 2

This course is the third course in a four year program designed to cover Integrated Algebra, Geometry and Algebra 2, 12I/topics in pre calculus from the NYS mathematics curriculum. This syllabus will follow the NYS Algebra 2 common core curriculum. Topics include laws of exponents, rational expressions and equations, polynomial functions, radical equations, exponential functions, and logarithmic functions. A local final will be given in June. This course fulfills the third year of math required for graduation. A graphing calculator is recommended.

Math 3- 1 credit

Prerequisite: Math 2 or teacher recommendation

This course is the third course in a four year program designed to conclude with Pre-Calculus. The syllabus is the NYS Algebra 2 common core curriculum. Topics covered include relations and functions, exponential functions, completing the square, trigonometry, sequences, probability and statistics. A graphing calculator is recommended. Accelerated students take this course in their second year of high school and conclude with Calculus or AP Statistics in their fourth year. The course concludes with the NYS Regents Algebra II Exam in June.

Math 3H - Honors- 1 credit

Prerequisite: Math 2H or teacher recommendation

This course is the second course in a four year program designed to conclude with Advanced Placement Calculus. An honors course for specially selected tenth grade students, this enriched course covers the New York State Advanced Algebra/Trigonometry curriculum. Topics covered include relations and functions, completing the square, trigonometry, probability, statistics, and sequences. A graphing calculator is recommended. The course concludes with the NYS Regents Algebra II Exam in June

Discrete Math – 1 credit

Prerequisite: Geometry/Advanced Algebra or teacher recommendation

This course involves the application of mathematical problem solving strategies. It includes application of profit functions, linear regressions, exponential regressions, compound interest, risk assessment, expected value, and spreadsheet analysis. A local final is given. A graphing calculator is recommended.

Math 12I/ College Algebra – 1 high school credit/4 college credits through Westchester Community College*

Prerequisite: algebra 2

An introduction to algebraic functions and their graphs, solving equations that involve algebraic functions, and the use of function notation. Topics include linear functions, quadratic functions, polynomial functions,

rational functions, and systems of linear equations. *NOTE: Curriculum and assignments will be monitored by the Westchester Community College. The final exam will be designed in conjunction with Westchester Community College. Qualified students wishing to obtain credits from WCC must complete an application and pay tuition to the college.

Math 4 Pre-Calculus – 1 high school credit/4 college credits through Westchester Community College*

Prerequisite: Math 3 or teacher recommendation

This course secures a foundation for college calculus. Topics covered include theory of equations, polynomials, analytic geometry, inequalities, absolute value, exponents and logarithms, review of trigonometry, inverses, polar coordinates and complex numbers, conic sections, sequences and series and if time permits an introduction to limits. A graphing calculator is recommended. *NOTE: Curriculum and assignments will be monitored by the Westchester Community College. The final exam will be designed in conjunction with Westchester Community College. Qualified students wishing to obtain credits from WCC must complete an application and pay tuition to the college.

Math 4H (AB) - Honors - 1 credit

Prerequisite: Math 3H and teacher recommendation

This course is the third course in a four year program designed to conclude with Advanced Placement Calculus. An honors course for specially selected eleventh grade students, this course prepares students to take the AB Advanced Placement Calculus Exam the following year by offering them a full year of enriched Pre-Calculus. Topics include function analysis, theory of equations, advanced graphing techniques, polar coordinates and matrices. A graphing calculator is recommended.

Math 4 (BC) – Honors – 1 credit

Prerequisite: Math 3H and teacher recommendation

This course is the third course in a four-year program designed to conclude with Advanced Placement Calculus. An honors program for specially selected eleventh grade students, this course prepares students to take the BC Advanced Placement Exam the following year. The first semester treats selected topics from Pre-Calculus such as function analysis, theory of equations, advanced graphing techniques, polar coordinates, mathematical induction and matrices. The second semester begins the study of Advanced Placement Calculus on the BC level. A graphing calculator is recommended.

Calculus – 1 high school credit/4 college credits through Westchester Community College*

Prerequisite: Math 4 or teacher recommendation

This course lays the foundation for further study in calculus. It will strengthen skills in algebra, trigonometry and the understanding of functions and will introduce the basic concepts of differential and integral calculus.

Since the Advanced Placement Exam is not a requirement for these students, the pace of this course is more flexible than that of the Advanced Placement Calculus courses. The student of this course may be able to apply to the college of his/her choice for a placement exam which may result in advanced standing and/or credit. A graphing calculator is recommended. *NOTE: Curriculum and assignments will be monitored by the Westchester Community College. The final exam will be designed in conjunction with Westchester Community College. Qualified students wishing to obtain credits from WCC must complete an application and pay tuition to the college.

Advanced Placement (AP) Calculus (AB) – 1 credit

Prerequisite: Math 4 (AB) or teacher recommendation

This course presents the basis of differential and integral calculus. Topics include higher order derivatives, area under a curve, the definite integral as the limit of a sum, the Fundamental Theorem, and continuous functions with geometrical and physical applications. At the conclusion of this course, students are expected to take the Advanced Placement Calculus Exam on the AB level. Based on their score and the policy of the college to which they apply, these students may receive up to one semester of college credit, advanced placement, or both. A graphing calculator is recommended.

Advanced Placement (AP) Calculus (BC) – 1 credit

Prerequisite: Math 4 (BC) or teacher recommendation

This course extends the basis of differential and integral calculus to include several additional topics including infinite series. Basic topics include higher order derivatives, area under a curve, the definite integral as the limit of a sum, the Fundamental Theorem, and continuous functions with geometrical and physical applications. At the conclusion of this course, students are expected to take the Advanced Placement Calculus Exam on the BC level. Based on their score and the policy of the college to which they apply, these students may receive up to two semesters of college credit, advanced placement, or both. A graphing calculator is recommended.

Math electives

AP Statistics

1 credit

Prerequisite: Math 3 or teacher recommendation

This course introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. The syllabus is determined by the College Board and develops around four major themes: 1) Exploring Data 2) Planning Study 3) Anticipating Patterns 4) Statistical Inference. Students are expected to take the AP Statistics Exam and may receive credit and/or advanced placement for a one-semester introductory college statistics course. A graphing calculator is recommended.

APP Design

(NOT offered in the 2024-25 school year)

1 credit

Open to grades 10-12

Prerequisites: computer programming and advanced computer programming or teacher recommendation

This course is designed for students to increase their computer programming skills and create powerful, meaningful, and purposeful apps using different programming techniques. Students will learn how to create mobile and other handheld device applications on both the Android and iOs operating systems.

Civil Engineering & Architecture

1 credit (3 college credits through RIT*)

Open to grades 11-12

Prerequisite: Principles of Engineering

Students learn the fundamentals of building design, site design, and development. They apply math, science, and standard engineering practices to design both residential and commercial projects and document their work using 3D architectural design software.

*NOTE: Curriculum and assignments are designed by Project Lead the Way (PLTW). The end-of-course exam will be designed by PLTW. Qualified students wishing to obtain credits from RIT must complete an application and pay tuition to the college. "

Computer programming

1 credit

Open to Grades 9-12

First semester: Computer Programming utilizes the latest version of Visual Basic. This language is OOP and Event Driven. Students learn basic programming concepts such as construction of GUI’s sequential coding, selective coding, loops, creating functions and using imported functions, use of arrays, timers, and other advanced topics. There is a strong mathematical component integrated into the material and it is recommended that students have a secure foundation in algebra, inductive/deductive reasoning and logic.

Second semester: This course is taught in Java. Java is a very popular high level language that is currently used in most programming occupations. There will be some Graphical Use Interface programs, but most of the programs will run on DOS prompt screens. The majority of colleges teach computer programming in Java. There is a strong mathematical component integrated into the material and it is recommended that students have a secure foundation in algebra, inductive/deductive reasoning and logic.

AP Computer Science A

1 credit

Open to grades 10-12

Prerequisite: computer programming, acceleration in math

This full year course in programming and computer science is similar to a one semester course of college level introductory computer science or computer programming. The course is intended for anyone interested in majoring in computer science, mathematics, science or engineering in college. The course covers the basic constructs of the Java programming language and their application to computer science topics. Java is a large and complex programming language. The AP Computer Science A course will cover a restricted subset of Java which will include Windows programming. Students will be taught to write and document programs in a style and a level that is consistent to those required by college students. In May, the students will take the Advanced Placement Computer Science A exam and, based on their score, may receive college credit, advanced placement or both.

Data science

(NOT offered in the 2024-25 school year)

.5 credit

Open to grades 9-12

co-requisite: Math 1 (algebra)

Data Science is a 1/2 year mathematics elective course which is designed to give students an initial exposure to real-world applications of data and statistics. This course will be focused on project work as opposed to the traditional tests seen in a typical math class. The projects will explore real-world applications of data that students are interested in. Students will learn how to digest and break down real-world data and also how to present their statistical findings to others. The course is suggested for any students who have interests in psychology, law, business, computer science or statistics.

Introduction to Engineering & Design

1 credit (3 college credits through RIT*)

Open to grades 9-12

Prerequisite math 1

Students are introduced to the engineering design process, applying math, science, and engineering standards to identify and design solutions to a variety of real problems. They work both individually and in collaborative teams to develop and document design solutions using engineering notebooks and 3D modeling software.

Principles of Engineering

1 credit (3 college credits through RIT*)

Open to grades 11-12 (grade 9 at teacher discretion)

Prerequisite: Introduction to Engineering & Design

Through problems that engage and challenge, students explore a broad range of engineering topics, including mechanisms, the strength of materials and structures, automation and motion. Students develop skills in problem solving, research, and design while learning strategies for design process documentation, collaboration, and presentation.