Mathematics Department

The program in mathematics offers preparation in the concepts and skills necessary for competence in mathematics, as well as preparation for further study. All courses in mathematics aim to increase understanding of the basic concepts of mathematics and problem solving.

Attention will be given to providing a deeper knowledge of our number system, experience with quantitative reasoning, study of the nature of proof and of the techniques of critical thinking, and knowledge of the contributions mathematics has made and is making to the progress of civilization.

All students should have some experience with technology and should understand the close relationship that exists between technology and mathematics. Three different computer courses are offered.

Graduation Requirements
All students are required to earn at least three credits of high school mathematics in order to graduate. Additionally, students must meet the mathematics requirement by passing the New York State Mathematics A Examination.

Grouping
The mathematics courses are grouped according to ability and interest in mathematics.

The Advanced or Honors levels are for students of high interest and ability, the Regular level is for the average college preparatory student, and the Mastery level is for students who lack either the desire or the mathematical skills to take a course at a higher level.

Unless otherwise stated, in order to proceed in the Honors, Advanced, or Regular level, it is recommended that students achieve at least a C grade. If a lower grade is achieved, then the student is encouraged to elect the lower course for the next school year, repeat the course and improve his/her grade the next school year, or go to summer school and improve his/her grade to proceed on level.

In all cases, teachers make recommendations for student placements. School counselors discuss these recommendations with students and the recommendations are sent home for parental approval. If a parent wishes to question a teacher’s recommendation, the parent should contact the teacher or school counselor immediately.

Calculators
Students in all levels need to have graphing calculators for use on assignments and tests. Graphing calculators are allowed on the NYS Math A Regents Examination and are required on the NYS Math B Regents Examination and all Advanced Placement examinations.

It is recommended that students purchase their own calculators. Students wishing to own a graphing calculator are strongly encouraged to purchase the TI-83 or TI-84 models, as these are the models all teachers will be using for demonstrations in the classroom.

Courses
2010 MATH 1 M
1 year, 1 credit, Grades 9-10
The primary focus of this course is on the skills in elementary algebra. The main topics of this course are working with variables, solving equations, operations with integers, formulas, polynomials, factoring, graphs, two variable equations, squares and square roots, and probability and statistics. A final examination is taken at the completion of this course in June.

2012 MATH 1 R
1 year, 1 credit, Grades 9-10
This course entails a comprehensive study of elementary algebra, linear and quadratic functions, inequalities and absolute value, coordinate geometry, probability and statistics. Additional emphasis is placed on problem solving and algebraic skills. A final examination is taken at the completion of this course in June.

2024 MATH 2 A
1 year, 1 credit, Grades 9-10
This course focuses on the study of geometry. Topics will include plane and solid figures, inductive reasoning, deductive proof, transformations and probability. Since algebra is integrated throughout the course, a high level of proficiency in elementary algebra is expected. The Math A Regents Examination is taken in January. A final examination is taken at the completion of this course in June.
Prerequisite: Math 1 A; A or better recommended

2020 MATH 2 M
1 year, 1 credit, Grades 10-11
This course emphasizes a hands-on approach to learning geometry. The concepts include number patterns, congruent triangles, circles, area, right triangle geometry, similarity, probability and statistics. The use of algebraic skills is stressed throughout the course. The Math A Regents Examination is taken at the completion of this course in June.
Prerequisite: Math 1 M

2022 MATH 2 R
1 year, 1 credit, Grades 9-11
This course entails the study of proof using symbolic logic and Euclidean geometry, circles, trigonometry, triangles, polygons, constructions, quadratic equations, similarity, right triangles, loci, coordinate geometry and probability. The Math A Regents Examination is taken in January. A final examination is taken at the completion of this course in June.
Prerequisite: Math 1 R; C or better recommended

2034 MATH 3 A
1 year, 1 credit, Grades 10-11
This course focuses on the study of advanced algebra and trigonometry. Topics will include the real and complex number systems, functions and their graphs, transformations, conic sections, circular functions, trigonometry, probability and statistics. It is designed for accelerated tenth graders and will include enrichment beyond the normal Math 3 R curriculum. A final examination is taken at the completion of this course in June. The Math B Regents Examination is also offered in June.
Prerequisite: Math 2 A; B or better recommended

2036 MATH 3 H
1 year, 1 credit, Grades 10-11
This course focuses on the study of advanced algebra and trigonometry. Topics will include the real and complex number systems, functions and their graphs, transformations, conic sections, circular functions, trigonometry, probability and statistics. It is designed for accelerated tenth graders who demonstrate exceptional mathematical skills and includes enrichment beyond the normal Math 3 R curriculum. A final examination is taken at the completion of this course in June. The Math B Regents Examination is also offered in June.
Prerequisite: Math 2 A; A or better recommended

2030 MATH 3 M
1 year, 1 credit, Grades 11-12
This course covers the study of intermediate algebra and trigonometry that includes such topics as operations on real numbers and complex numbers, polynomials, graphing linear and quadratic equations and inequalities, solving quadratic equations, solving word problems by using standard algebraic techniques or Cramer's Rule, logarithms and trigonometric functions. A final examination is taken at the completion of this course in June.
Prerequisite: Math 2 M

2032 MATH 3 R
1 year, 1 credit, Grades 11-12
This course focuses on the study of intermediate algebra and trigonometry. Topics will include the real and complex number systems, functions and their graphs, transformations, conic sections, circular functions, trigonometry, probability and statistics. A final examination is taken at the completion of this course in June. The Math B Regents Examination is offered in June.
Prerequisite: Math 2 R; B or better recommended

2044 MATH 4 A
1 year, 1 credit, Grades 10-11
This course covers the study of pre-calculus topics such as two- and three- dimensional analytic geometry, vectors, limits, mathematical induction, polar coordinates, polynomial, rational, exponential, logarithmic, and trigonometric functions; sequences and series; determinants and matrices; complex numbers; DeMoivre’s Theorem; and conic sections. Students planning to take the AP Calculus AB course should elect this course. A final examination is taken at the completion of this course in June.
Prerequisite: Math 3 A; B or better recommended

2046 MATH 4 H
1 year, 1 credit, Grades 10-11
This course covers in-depth the pre-calculus topics of: polynomial, rational exponential, logarithmic and trigonometric functions, polar coordinates, matrices, sequences and series, conics, parametric equations, two-and three-dimensional analytic geometry, mathematical induction and limits. Students planning to take the AP Calculus BC course should elect this course. A final examination is taken at the completion of this course in June.
Prerequisite: Math 3 H; B or better recommended

2040 MATH 4 M
1 year, 1 credit, Grade 12
This course is designed to reinforce those concepts of mathematics taught in previous courses and to extend learning into many new topics. Students who desire to take an advanced algebra or pre-calculus course in college should elect this course. Topics will include: statistics and probability, sequences, matrices, mathematics of finance, maximization and minimization problems, trigonometry and circuit theory.
Prerequisite: Math 3 or Math 4

2042 MATH 4 R
1 year, 1 credit, Grades 11-12
Topics to be studied include polynomial, rational and trigonometric functions, graphing of functions, analytical trigonometry and its applications, complex numbers, systems of equations and inequalities, matrices and determinants, and polar coordinates. This course is a must for students planning to take calculus in college or planning to continue in a mathematics or science-related field. A final examination is taken at the completion of this course in June.
Prerequisite: Math 3 R; C or better recommended

2052 MATH 5 R
1 year, 1 credit, Grade 12
This course covers the study of calculus topics such as functions, limits and continuity, differentiation and integration. It is designed to permit the student to take more advanced courses in college, both in mathematics and subject areas that require background in mathematics. A final examination is taken at the completion of the course in June.
Prerequisite: Math 4 R; C or better recommended

2060 CALCULUS AB
1 year, 1 credit, Grade 12
This is a calculus course that follows the Advanced Placement AB Calculus syllabus. This course is designed to permit the student to take more advanced courses in college, both in mathematics and in subject areas which require an extensive background in mathematics. A final examination is taken at the completion of this course in June. The AB Advanced Placement examination is given at the completion of the course.
Prerequisite: Math 4 A; B or better recommended

2062 CALCULUS BC
1 year, 1 credit, Grade 12
This course completes the topics of the Advanced Placement BC Calculus syllabus started in Math 4 H. It is designed to permit the student to take more advanced courses in college, both in mathematics and in subject areas which require an extensive background in mathematics. A final examination is taken at the completion of this course in June. The BC Advanced Placement examination is given at the completion of the course.
Prerequisite: Math 4 H; B or better recommended

2064 AP STATISTICS
1 year, 1 credit, Grades 11-12
This statistics course follows the Advanced Placement syllabus which introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. This course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics and is heavily dependent on graphing calculator and computer technology. This course will be useful for any student considering study in science, engineering, business, psychology or the social sciences. A final examination is taken at the completion of the course. The Statistics Advanced Placement Examination is given at the completion of the course.
Recommended preparation: A or better in Math 3 R; B or better in Math 3 (A/H)

COMPUTER COURSES
2070 COMPUTER SCIENCE A 1
1 semester, 1/2 credit, Grades 10-12
This course will provide an introduction to computing using a survey of computer languages and mediums culminating in a solid introduction to Java. The course will start with HTML, and will involve basic web page development techniques including tables, frames and style sheets. After the students are comfortable with the concepts, the course moves into the programming of "robots" using Karel the Robot, and Robocode. These languages are a gentle approach to learning the structure and syntax of JAVA. The course will conclude with an introduction to object-oriented programming using JAVA and will include methods and event handlers. This course is a prerequisite to Computer Science A 2, which prepares students for the Computer Science A examination.
Prerequisite: Math 1 R or 1 M

2072 COMPUTER SCIENCE A 2
1 semester, 1/2 credit, Grades 10-12
This advanced course in Java emphasizes programming methods and functional abstraction. It includes a study of algorithms, data structures and data abstraction at a moderate level. At the completion of the course students will be able to fluently program in Java and implement solutions in that language. This course prepares students for the AP Computer Science A examination or acts as the prerequisite to Computer Science AB.
Prerequisite: Computer Science A 1 or exemption test given by the instructor

2074 COMPUTER SCIENCE AB
1 year, 1 credit, Grades 11-12
This is an advanced course in Computer Science that covers the content of the ACM's definition of CS1 and CS2, the first two courses in college computer science. The course is taught using JAVA and therefore a solid understanding of the language is needed. The programming approach is object-oriented with a large case study an integral part of the course. A CD with all the software is supplied to each student. At the culmination of the class the student can sit for the AP exam and receive up to 8 college credits.
Recommended preparation: Computer Science A 1 and Computer Science A 2 or demonstration of a solid understanding of Java to the instructor

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