Mathematics

PRE-ALGEBRA                                                                                                 500

Full year, 1 credit

Grade 9,10

Prerequisite: Teacher Recommendation

This course is for students who require additional study to prepare for Algebra I. Students will build a foundation for the further study of geometry as well.

FUNDAMENTAL MATH                                                                                                       501

Full year, 1 Credit

Grade 9,10

Prerequisite: Teacher Recommendation

This course is for students who need continued work with fundamental concepts and arithmetic operations.

ALGEBRA IA                                                                                                                      511                                                                            

Full year, 1 credit

Grade 9

Prerequisite: Math 8

This is the first year of a two year sequence in NYS Next Generation Standards. Topics include equations and inequalities, absolute value, linear functions (in one and two variables), systems of equations, bivariate data analysis and exponential functions. The development and reinforcement of organizational and study skills are emphasized. 

ALGEBRA 1B                                                                                                                      512                                                                                         

Full year, 1 credit

Grade 10

Prerequisite: Algebra 1A

This course continues the study of Algebra I began in Algebra 1A. Students complete the Algebra I Next Generation Standards Regents syllabus. Algebraic topics include polynomials and factoring, quadratics, radicals, and one-variable statistics.  Students will take the NYS Algebra I Next Generation Standards Regents exam as their final exam. 

ALGEBRA  I                                                                                                                       520                                                                                                            

Full year, 1 credit

Grade 9

Prerequisite: Math 8 with a minimum grade of B-

This course follows the NYS Algebra I Next Generation Standards syllabus.  Topics include equations and inequalities, absolute value, linear functions, bivariate data analysis, systems of equations, polynomials and factoring, quadratics,  radicals, exponential functions,  linear functions in one and two variables and one-variable statistics.  Students will take the NYS Algebra I Next Generation Standards Regents as their final exam. 

GEOMETRY                                                                                                                 519                                                                           

Full year, 1 credit

Grade 9, 10 

Prerequisite: ALGEBRA 1 or ALGEBRA 1B , and Passing grade on NYS Algebra Regents 

This course provides the student with a solid foundation in geometric concepts. A combination of formal and informal approaches is used to study the properties of triangles, quadrilaterals, polygons and circles. Trigonometric relationships within right triangles are studied. Algebraic problem solving skills are reinforced throughout the year. 

GEOMETRY (Honors)                                                                                                  517  

Full year, 1 credit

Grade 9, 10

Prerequisite: ALGEBRA I (grade 8) with minimum grade of B- and recommendation of the middle school Math department

Topics include an intuitive and analytical approach to the mathematics of shapes and space. The properties of triangles, quadrilaterals, polygons and circles are studied through the use of coordinate, and deductive methods. Students will write formal proofs. Trigonometric properties of triangles are studied as well.  Algebraic problem solving skills are reinforced throughout the year.

GEOMETRY AND TRIGONOMETRY (Accelerated)                                                      516                                                     

Full year, 1 credit

Grade 9

Prerequisite: ALGEBRA I (Honors) with a minimum grade of A- and recommendation of the middle school Math Department

Geometric concepts are explored in a more abstract form at a fast pace through the development of logical reasoning skills. The properties of triangles, quadrilaterals, polygons and circles are studied with the use of coordinate, and deductive methods. Students will write formal proofs. The study of the trigonometric properties of triangles is extended to a consideration of trigonometric functions. This is an accelerated course. 

ALGEBRA II                                                                                                                     528

Full year, 1 credit

Grade 11, 12

Prerequisite: GEOMETRY

Algebra 2  builds upon the study of functions begun in Algebra 1.  Topics include quadratic, square root, exponential and logarithmic functions, operations with rational and polynomial expressions, complex numbers.   

ALGEBRA II AND TRIGONOMETRY (Honors) 527 

Full year, 1 credit

Grade 10, 11

Prerequisite: GEOMETRY (H) with minimum grade B-

ALGEBRA II and TRIGONOMETRY (H) builds upon the study of functions begun in ALGEBRA I. The course includes more advanced function topics such as composite and inverse functions, linear combinations, graphical transformations, and a greater emphasis on function analysis. Polynomial, radical, exponential, logarithmic and trigonometric functions are studied in detail. Other topics include operations with rational expressions, complex numbers, probability, statistics, and finite series. Real world applications are emphasized. This is a demanding course. 

ALGEBRA II  with TOPICS in PRECALCULUS (Accelerated)                                    526

Full year, 1 credit

Grade 10

Prerequisite: GEOMETRY AND TRIGONOMETRY (Acc) with minimum grade B-

This course is a more rigorous presentation of the topics in ALGEBRA II and TRIGONOMETRY (H). The study of trigonometric functions begun in GEOMETRY and TRIGONOMETRY (Acc) continues with the derivation of trigonometric identities and solution techniques for trigonometric equations. Among the additional topics not covered in ALGEBRA II and TRIGONOMETRY (H) are quadratic relations, parametric equations and matrix operations. Students are expected to solve non-routine problems. This course prepares students for DIFFERENTIAL CALCULUS (Acc). 

PRECALCULUS                                                                                                                        542

Full year, 1 credit

Grade 11, 12

Prerequisite: GEOMETRY and ALGEBRA II

PRECALCULUS includes the study of linear, quadratic, exponential, logarithmic, rational, trigonometric functions and limits.  The course emphasizes skills and concepts needed for success in Calculus as well as problem solving and everyday applications. 

PRECALCULUS (Honors)                                                                                                        549

Full year, 1 credit

Grade 11, 12

Prerequisite: GEOMETRY (H) and ALGEBRA II AND TRIGONOMETRY (H) with a minimum grade of B- 

Students study the standard topics of precalculus with special emphasis on the elementary functions. The polynomial and rational functions as well as exponential and logarithmic functions are studied in greater detail in addition to the matrix approach in linear systems and Cramer’s Rule. The study of trigonometric functions begun in ALGEBRA II and TRIGONOMETRY (H) continues with the derivation of trigonometric identities, solution techniques for trigonometric equations and the definition of inverse trigonometric functions.  Further work with sequences and series and an introduction to limits and continuity are additional topics. This course is a prerequisite for enrollment in AP CALCULUS (AB). 

DIFFERENTIAL CALCULUS (Accelerated)                                                                            536

Full year, 1 credit

Grade 11

Prerequisite: GEOMETRY AND TRIGONOMETRY (Acc) and  ALGEBRA II WITH TOPICS IN PRECALCULUS (Acc) with a minimum grade of B- 

Precalculus topics include plane and solid analytic geometry, parametric, polar and vector representations, sequences and series and mathematical induction. Differential calculus topics include limits, the definition of the derivative, techniques of differentiation, and curve sketching. The techniques of differential calculus are introduced early and utilized throughout the course. This course is a prerequisite for enrollment in AP CALCULUS (BC). 

CALCULUS (Honors)                                                                                                     549

Full year, 1 credit

Grade 12

Prerequisite: PRECALCULUS

This is a course in differential and integral calculus and their applications.  It  covers topics from the AP Calculus AB syllabus without a focus on AP exam preparation.  Computational proficiency, conceptual understanding and applications are emphasized.  Students explore calculus concepts using the TI-Nspire computer algebra system as well as internet based calculus applets using laptop computers.  Students learn how to apply calculus in related fields such as business, economics, physics and other sciences. 

AP CALCULUS (AB)                                                                                               545

Full year, 1 credit

Grade 12

Prerequisites: PRECALCULUS (H) with a minimum grade of B+ and recommendation of department

This first year college-level course focuses on calculus and analytic geometry. Topics of study include introductory differential and integral calculus; and elementary differential equations with applications. Students take the AP Calculus (AB) Exam. 

AP CALCULUS (BC)                                                                                            546

Full year, 1 credit

Grade 12

Prerequisites: DIFFERENTIAL CALCULUS (Acc) with a minimum grade of B and recommendation of department

Building on the study of differential calculus begun the previous year in Differential Calculus, integral calculus and elementary differential calculus are studied, as well as sequences and series, and applications involving polar coordinates, parametric equations and vectors. Students take the AP Calculus (BC) AP Exam.  

AP STATISTICS                                                                                                          565

Full year, 1 credit

Grade 11, 12

Corequisite: PRECALCULUS (H)

Prerequisite:  PRECALCULUS (H)Precalculus H with a minimum grade of B+ or ALGEBRA II WITH TOPICS IN PRECALCULUS (Acc) AND recommendation of department.

The first semester of AP Statistics Course provides an overview and introduction to Descriptive Statistics and will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The second half of the course covers the methods of Inferential Statistics and will introduce students to hypothesis testing and confidence intervals. Students will frequently work on projects involving the hands-on gathering and analysis of real world data. Ideas and computations presented in this course have immediate links and connections with actual events. Computers and calculators will allow students to focus deeply on the concepts involved in statistics. Students will learn to produce convincing oral and written statistical arguments, using appropriate terminology in a variety of applied settings. This course prepares students for the Advanced Placement examination in Statistics.