 Mathematics
The
Mathematics Department aims to involve each student actively
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 515] 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:
A. Math
513 [Math A-Honors]
The
students in this course will cover all the material which is
tested on the Math A Regents. Students in this course will take
the Math A Regents in June 2007. Placement in this course is
determined by:
a. Standardized test scores
b. 8th Grade teacher
recommendation
B. Math 527 [Math B-Honors]
The
students in this course will cover the first two semesters of
the Math B curriculum, topics include: tools of geometry;
geometric figures; transformations; triangle relationships;
measuring in the plane and space; parallel lines; congruent
triangles; quadrilaterals; similarity; trigonometry; chords;
secants; tangents; models; polynomial functions. Placement in
this course is determined by:
a. Passing the Math A Regents
Examination with a score of 80% or above
b. Teacher Recommendation
C. Math
525 [Math 10]
The
students in this course will cover the third semester of
preparation for the Math A Regents, as well as the first
semester of the Math B Curriculum. Topics include: tools of
geometry; geometric figures; transformations; triangle
relationships; measuring in the plane and in the space; parallel
lines; congruent triangles; quadrilaterals; similarity;
trigonometry; chords, secants and tangents; open and closed
sentences; cumulative frequency and percentiles; probability
distributions; percent error. Students in this course will take
the Math A Regents in January 2007. Placement in this course
will be determined by:
a. Having completed the 1st and 2nd
Semesters of the Math A Curriculum
b. Standardized Test Scores
c. Teacher Recommendation
Supplementary Program
Summer Refresher Course
Course
Descriptions For Regents Program - Courses 515, 525, 535
Math
515 Math
9 1
Credit
The
students in this course will cover the first two semesters of
preparation for the Math A Regents. This examination will be
administered in January of their sophomore year. Topics include
function and their graphs; equations and inequalities; graphing
and writing linear equations; systems of equations and
inequalities; quadratic equations and functions; exponents and
exponential functions; right triangles; radical expressions;
polynomials; rational expressions and functions.
Math
525 Math
10 1 Credit
The
students in this course will cover the third semester of
preparation for the Math A Regents, as well as the first
semester of the Math B Curriculum. Topics include: tools of
geometry; geometric figures; transformations; triangle
relationships; measuring in the plane and in the space; parallel
lines; congruent triangles; quadrilaterals; similarity;
trigonometry; chords, secants and tangents; open and closed
sentences; cumulative frequency and percentiles; probability
distributions; percent error. Students in this course will take
the Math A Regents in January 2007.
Math
535 Math
11 1 Credit
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. The Math B Regents will be
taken in June 2007.
Introductory Analysis 540
Introductory Analysis 1 Credit
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
Honors
Analysis 541 Honors
Analysis 1 Credit
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. Placement in this course is
determined by:
1. 85% average in Math 9, 10
and 11
2. 85% average in Regents
for Math A & B
3. Teacher Recommendation
This course
may be taken for college credit through Operation Step-Up.
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
513
Math A-H 1 Credit
See description on page 17
Math
526
Math A/B-H 1 Credit
The
students in this course will cover all the materials in the
third semester of Math A and the first semester of Math B. They
will take the Math A Regents in January 2007. Placement in this
course is determined by:
a. A grade of at least 85% in Math 9
b. Teacher Recommendation
Math
527
Math B -H 1 Credit
See description on page 17
Math
528
Math B-III/Pre-Calc-H 1 Credit
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 2007.
Math
534
Math 11-H 1 Credit
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 2007. Placement in this course is
determined by:
a. A Score of at least 85% on the
Math A Regents
b. An Average of at least 85% in Math 9
and Math 10 courses
c. Teacher Recommendation
Math
532 532
Honors Pre-Calculus 1 Credit
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. Placement in
this course is determined by:
1. 85% in Math 9, 10 and 11
2. A minimum of 85%
on the Math A and Math B Regents
3. Teacher
Recommendation
AP
Calculus 542
AP Calculus 1 Credit
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.)
Placement in this course is determined by:
1. 85% average in previous
Math courses
2. 85% average in Math
Regents Examinations
3. Teacher Recommendation
AP
Statistics
546 AP Statistics 1 Credit
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.)
Placement in this course is
determined by:
1. 85% average in previous
Math courses
2. 85% average in Math
Regents Examinations
3. Teacher Recommendation
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