Mathematics
The Mathematics Department aims to actively involve each student in acquiring skills of analysis and logical reasoning, along with proficiency in computation. The Department strives to maintain an atmosphere in which students experience the freedom and confidence to question and gain confidence as they master Mathematical skills.
All students are required to have a TI-83 or TI-84 Plus Graphing Calculator.
Placement of Incoming Freshmen
The majority of entering Freshmen take Math 9 [Course 516-Integrated Algebra] as their first course in High School mathematics. Any Freshman who wishes to be considered for an accelerated Math course should submit the appropriate application form. At the discretion of the Math Department, she may be placed in one of the courses listed below:
This course will cover all the topics in the New York State curriculum for Integrated Algebra, as well as enrichment topics. The course will move at a faster pace than the Integrated Algebra course. Students will take the Integrated Algebra Regents Examination in June 2009.
Each of the following courses earns one credit
B. Math
518 [Math 10-Geometry]
This course will cover all the topics in the New York State curriculum for Geometry. Students will take the Geometry Regents Examination in June 2009. Incoming Freshmen applying for this course will be expected to achieve a minimum grade of 85 on the Integrated Algebra or Math A Regents Examination.
C. Math
519 [Math 10-Honors Geometry]
This course will cover all the topics in the New York State curriculum for Geometry, as well as enrichment topics. Additionally, this course will move at an accelerated pace and will include some topics from the new 3rd year New York State Advanced Algebra curriculum. Students will take the Geometry Regents Examination in June 2009. Incoming Freshmen applying for this course will be expected to achieve a minimum grade of 85 on the Integrated Algebra or Math A Regents Examination.
Supplementary Program
Summer Refresher Course
Based on standardized test scores, some students will be invited to attend a 2-week refresher course of basic skills. The benefits of attending this course include strengthening basic skills and increasing mathematical competence.
COURSE DESCRIPTIONS FOR REGENTS PROGRAM- Math 516, 518, 535
Math 516
Integrated Algebra Math 9
This course will cover all the topics in the New York State curriculum for Integrated Algebra. Students will take the Integrated Algebra Regents Examination in June 2008.
Math 518
Math 10-Geometry
This course will cover all the topics in the New York State curriculum for Geometry. Students will take the Geometry Regents Examination in June 2009.
Math 535
Math 11
The students in this course will cover the second and third semesters of preparation for the Math B Regents. Topics include: models; functions and permutations; linear relationships; functions and systems; matrices; quadratic functions; polynomial functions; exponential and logarithmic functions; rational functions; trigonometry; probability and statistics; sequences and series. Students will take the Math B Regents in June 2009.
Introductory Analysis 540
Introductory Analysis
This course is intended for Seniors who have completed the Math A and Math B curriculum, and who meet the prerequisites listed below. The topics covered in this course are: Vectors, Real and Complex Numbers including polar form of complex numbers and DeMoivre’s Theorem: Coordinate Geometry including conics; polynomial functions including Remainder Theorem and Factor Theorem; Limits, Continuity and Mathematical Induction.
PREREQUISITE: 1. Successful completion of the Math B Regents
2. Teacher Recommendation
COURSE DESCRIPTIONS FOR HONORS/ACCELERATED PROGRAM
These courses cover the same topics as those listed in the Regents Program. There is, however, a stronger emphasis on theoretical development.
Math 517 Math 9-H
Math 519 Math 10-H
Math 528
Math B-III/Pre-Calc-H
This course is a continuation of course 527. It includes the third semester of the Math B program followed by pre-calculus. The students will take the Math B Regents Examination in January 2009.
Math 534
Math 11-H
The students in this course will cover the second and third semesters of preparation for the Math B Regents. The Regents will be taken in June 2009.
It is recommended that students applying for this course have an 85 average
in previous math courses. Placement is based on teacher recommendation.
Math 532
Honors Pre-Calculus
This course is intended for Juniors who have completed Math A and Math B, and who meet the prerequisites listed below. The topics covered in this course are: Sequences and Series; Polar Coordinates and Complex Numbers; Exponential and Logarithmic Functions; Mathematical Induction; Limits and Continuity.
It is recommended that students applying for this course have an 85 average
in previous math courses. Placement is based on teacher recommendation.
Honors Analysis
541 Honors Analysis
Semester I: This course covers selected topics in Introductory Analysis including Mathematical Induction, Sequences and Series, Binomial Theorem, Plane Analytical Geometry, Functions, Factor Theorem, Remainder Theorem, Bounds for Real Roots, Descartes’ Rule, Relationships among Roots and Coefficients, Conic Sections, Matrices and Vectors, Polar Graphs and Equations, Trigonometric Functions and their applications, Graphs and Inverses of Trigonometric Functions.
Semester II: Calculus - - The topics covered include: Analytic Geometry; Functions; Limits; Differentiations and Integration of algebraic functions.
It is recommended that students applying for this course have an 85 average
in previous math courses. Placement is based on teacher recommendation.
This course may be taken for college credit through College Advantage Program.
AP Calculus 542
AP Calculus
The topics covered are Analytic Geometry, Functions; Limits; Differentiation of algebraic and transcendental functions; Integration; Applications. Students enrolled in this course are required to take the AP Calculus AB Examination in May. (The cost of this examination is assumed by the student.)
It is recommended that students applying for this course have an 85 average in previous math courses. Placement is based on teacher recommendation.
AP Statistics 546
AP Statistics
The purpose of the AP course in Statistics is to 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: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses. Students taking the course are required to take the AP Examination. (The cost of the examination is assumed by the student.)
It is recommended that students applying for this course have an 85 average in previous math courses. Placement is based on teacher recommendation.
A. Math
517 [Math 9-Honors]