The mathematics curriculum is designed to attain five general goals for all students:
- students learn to value mathematics
- students become confident in their own ability to do mathematics
- students become mathematical problem solvers
- students learn to communicate mathematically
- students learn to reason mathematically
This curriculum attempts to give all students the opportunity to appreciate the full power and beauty of mathematics and acquire mathematical knowledge and intellectual tools required to use it in their lives.
Note: All students must earn at least three (3) credits of mathematics. Students must also pass a Mathematics Regents exam.
Courses
Algebra Applied
Course Number: 3022
Length: 1 semester
Credit: 1 credit
This course meets everyday during the first semester to benefit students who may need additional instruction and support to achieve success in Algebra. Topics covered in this course include the understanding and application of: real numbers, general functions, linear equations, linear inequalities and quadratic functions.
Algebra Regents (2nd Semester)
Course Number: 3020
Length: 1 semester
Credit: 1 credit
Major Assessment: Algebra 1 Regents Examination in June
This course meets every day for the second semester to benefit students who may need additional support to achieve success in algebra. Topics covered in this course include exponential functions, systems of equations, systems of inequalities, sequences and statistical analysis.
Note: Students enrolled in this course will take the Algebra 1 Regents examination in June.
Algebra Regents
Course Number: 3021
Length: 1 year
Credit: 1 credit
Major Assessment: Algebra 1 Regents Examination in June
The general goals for this course include the understanding and application of: real numbers, general functions, linear equations and inequalities, quadratic functions, exponential functions, systems of equations and inequalities, sequences, and statistical analysis.
Algebra Lab
Course Number: 3942
Length: 1 year
Credit: 0 credit
This course is designed to provide academic intervention services for students who have been identified as at-risk of not passing the Common Core Algebra I Regents Examination. Algebra Lab will meet one period every four days and is designed to give additional hands-on exposure to the topics covered in the Common Core Algebra 1 Regents course. Though this course carries no credit, grades achieved will be reflected in the Common Core Algebra 1 Regents course mark.
Geometry Regents
Course Number: 3121
Length: 1 year
Credit: 1 credit
Major Assessment: Geometry Regents Exam in June
Students who have successfully completed Algebra Regents may enroll in this class. The general goals for this course include further study of the axiomatic system of Euclidean geometry (with transformations) to prove geometric concepts; an introduction to special right triangles and right triangle trigonometry; using rigid motion to prove triangle congruence; the use of the fundamental ideas of logic in developing thinking skills and utilizing the skills of collecting, organizing and interpreting data developing problem-solving skills, and exploring volume and surface area of three-dimensional objects.
Geometry Lab
Course Number: 3943
Length: 1 year
Credit: 0 credit
This course is designed to provide academic support for students who have been identified as at-risk of not passing the Geometry Regents Examination. Geometry Lab will meet one period every four days and is structured to give additional exposure and reinforcement to the topics covered in the Geometry Regents course. Though this is a non-credit bearing class, grades achieved in Geometry Lab will be reflected in the Regents Geometry course mark.
Applied Geometry
Course Number: 3124
Length: 1 year
Credit: 1 credit
Major Assessment: Department Final Exam
Students enrolling in this non-Regents class should have passed an Algebra course. Course content includes (but is not limited to): essentials of Geometry such as basic terms, definitions, theorems, and postulates; angle relationships; parallel & perpendicular lines; triangles, quadrilaterals, and polygons. Real-world applications will be included throughout the course. Additionally, throughout the course, students will review essential Algebra skills needed to be successful in Algebra II General.
Note: Applied Geometry students will not take the Common Core Geometry Regents Examination. Instead, students will take a departmental final exam.
Geometry Honors
Course Number: 3011
Length: 1 year
Credit: 1 credit
Major Assessment: Common Core Geometry Regents Exam
Prerequisite: Algebra Honors & Teacher Recommendation or 2 of the following 3: Teacher Recommendation, 93 or higher course average through first semester of Algebra Regents, 90 or higher on Departmental Placement Examination.
This is the second course in a three-year sequence aligned with the Common Core State Standards. Students who have successfully completed Algebra Common Core may enroll in this class. The general goals for this course include further study of the axiomatic system of Euclidean geometry (with transformations) to prove geometric concepts; an introduction to special right triangles and right triangle trigonometry; using rigid motion to prove triangle congruence; the use of the fundamental ideas of logic in developing thinking skills and utilizing the skills of collecting, organizing and interpreting data and developing problem-solving skills and additional enrichment topics. This class will investigate the additional state standards not required for the regents course.
Algebra 2 Regents
Course Number: 3221
Length: 1 year
Credit: 1 credit
Major Assessment: Department Final in June (See Note Below*)
This is a rigorous course aligned to the Common Core Learning Standards where the level of abstraction is much higher than previous math courses. Course content includes linear functions, quadratic functions, complex numbers, polynomial functions, radical functions, exponential and logarithmic functions, rational functions, and sequences and series.
Note: *Students taking this course take a departmental final in June. In addition, students who enroll in Pre-Calculus with Trigonometry the following year will take the Common Core Regents Examination in Algebra 2 and Trigonometry in January of that school year.
Algebra 2 Lab
Course Number: 3941
Length: 1 year
Credit: 0 credit
This course is designed to provide academic support for students who have been identified as at-risk of not passing the Algebra 2 / Trigonometry Regents Examination. Algebra 2 Lab will meet one period every four days and is structured to give additional exposure and reinforcement to the topics covered in the Algebra 2 Regents course. Though this is a non-credit bearing class, grades achieved in Algebra 2 Lab will be reflected in the Regents Algebra 2 course mark.
Algebra 2 General
Course Number: 3231
Length: 1 year
Credit: 1 credit
Major Assessment: Department Final in June
Students enrolling in this non-Regents course should have passed an Algebra course and a Geometry course. Course content includes topics in modeling using linear, quadratic, polynomial, exponential, rational and trigonometric functions. Other topics include the mathematics of personal finance, modeling with systems of equations, and statistics.
Algebra 2 Honors / Trigonometry
Course Number: 3111
Length: 1 year
Credit: 1 credit
Major Assessment: Common Core Regents Exam in June
Prerequisite: 2 of the following 3: Teacher Recommendation, Final Course Grade of 95 or higher in Algebra, 85 or higher on the Algebra Common Core Regents Examination.
This is a fast-paced, rigorous course aligned to the Common Core Learning Standards where the level of abstraction is much higher than previous math courses. Topics include linear functions, quadratic functions, complex numbers, polynomial functions, radical functions, exponential and logarithmic functions, rational functions, sequences and series, trigonometric functions, probability, data analysis and statistics, and additional enrichment topics.
Pre-Calculus Honors
Course Number: 3211
Length: 1 year
Credit: 1 credit
Major Assessment: Department Mid-Year Exam in January and Department Final Exam in June
Students who have successfully completed Algebra 2 and Trigonometry may enroll in this course. This level is designed for students planning to take AP or college level calculus. Content of the course will focus on the study of linear, quadratic, higher order, logarithmic, exponential, and trigonometric functions, limits and an introduction to calculus.
Pre-Calculus with Trigonometry
Course Number: 3314
Length: 1 year
Credit: 1 credit
Major Assessment: CC Algebra 2 / Trigonometry Regents Exam in January and Department Final in June
Prerequisite: Passing grade in Algebra 2 Regents
This course covers the remaining topics necessary for the Common Core Algebra 2 / Trigonometry Exam. It will introduce material for students who wish to develop the additional background recommended for a Calculus course. Topics include in depth study of trigonometric functions, data analysis and statistics, complex numbers and transformations, linearity, rational functions, complex roots of polynomial functions, polar equations, rates of change and limits.
Statistics
Course Number: 3325
Length: 1 year
Credit: 1 credit
Major Assessment: Department Mid-Year Exam in January and Departmental Final in June
This course teaches students how to use the four-step statistical process: ask questions, collect data, analyze data, and make conclusions. Each chapter will begin with a real-life statistical question and then students will learn how to collect appropriate data, analyze the data, and make reasonable conclusions. The primary focus of the class will be to teach students the basic principles of statistical reasoning. Major statistical topics include: analyzing distributions of data, both categorical and numerical, using graphs and summary statistics; using simulations to estimate probability distributions; theoretical probability distributions, including normal distributions; rules of probability, including conditional probability and expected value; the logic of hypothesis testing, including stating hypotheses, calculating and interpreting p-values, drawing conclusions, and Type 1 & 2 errors; using confidence intervals to estimate parameters; and proper methods of data collection, including sampling and experimentation. Use of technology, including online applets and the graphing calculator will be prominent in the course. Throughout the course, students will complete investigations that require students to complete the four-step statistical process using real-life applications.
Advanced Placement (AP) Statistics
Course Number: 3322
Length: 1 year
Credit: 1 credit
Major Assessment: AP Exam in May*
Prerequisite: To enroll in the course, students must have completed Algebra 2 Regents / Honors successfully.
This course focuses on the exploration of statistical concepts and problems that are at the core of the Advanced Placement Statistics curriculum (exploring data, sampling and experimentation, anticipating patterns, statistical inference). Throughout the course, students will take part in hands-on investigations of statistical data and models. Students will also receive instruction in the statistical applications of various forms of technology including, but not limited to, graphing calculators and applets. To be successful in this course, students must have a solid mathematical background along with strong writing, reading, and analytical skills.
Note: *All students will take the Advanced Placement Examination in May, for which there is a fee. Students may earn up to three (3) college credits, depending upon their performance on the AP Exam and the policies of the colleges in which they enroll.
Advanced Placement (AP) Calculus (AB)
Course Number: 3312
Length: 1 year
Credit: 1 credit
Major Assessment: Department Mid-Term in January and AP Exam in May*
Prerequisite: Students must have completed Pre-Calculus to enroll.
This is an introductory course in college-level differential and integral Calculus with emphasis on the theoretical foundations of calculus. Content will include limits, continuity, derivatives and their applications, definite and indefinite integrals and their applications, slope fields, and separable differential equations.
Note: *All students will take the Advanced Placement Examination in May, for which there is a fee. Students may earn up to three (3) hours of college credit, depending on their performance on the AP Exam and the policies of the college where they enroll.
Calculus
Course Number: 3313
Length: 1 year
Credit: 1 credit
Major Assessment: Department Mid-Term in January and Departmental Final Exam in June
This is an introductory course in differential and integral calculus with emphasis on mechanics and applications. Content will include the study of functions, limits, continuity, techniques of finding derivatives, applications of derivatives, and techniques of integration.