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Mathematics
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The
mathematics program in our high school is designed
to provide students with the knowledge and skills
required to apply mathematics to realistic and
relevant problems. The contact of math courses is
planned to allow a developmental sequence of
learning experiences. There are several options in
courses and levels of academic challenge that
students may select among in order to be prepared
to use and study mathematics after high school.
Students should use departmental recommendations
and consultation with their current math teacher
and their counselor in order to plan the most
challenging and appropriate sequence of
courses.
Three
years of mathematics are required for
graduation. Students must achieve a final
grade of "C" or better in order to continue in
the "accelerated" levels.
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#203 -
Foundations of Algebra
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Grades:
9-12
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Level:
Basic
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Year:
5X
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Credits:
5
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For those students who need additional
reinforcement of basic Algebra and
Pre-Algebra skills. A wide variety of
manipulatives, hands-on modeling, and
technology resources are incorporated to
expose students to all possible ways in
which to learn the necessary skills in
Algebra.
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#212 - Algebra
I
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Grades:
9-12
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Level:
Academic
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Year:
5X
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Credits:
5
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At this level, the focus of Algebra I
is the properties and use of linear
equations including graphs and related
inequalities. Algebraic symbolism is used
to study and explore properties of the
real numbers, operations on real numbers,
polynomials, factoring, and systems of
equations. Related concepts such as
quadratic expressions and geometric
applications are introduced. There is an
emphasis on solving problems using
mathematics.
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#221 -
Geometry
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Grades:
9-12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite:
Algebra I
This course is designed for the
academically talented student to provide
an enriched, stimulating and accelerated
environment for the study of geometry. In
this course the use of algebra is
integrated into the study of geometry.
Coordinate and transformational geometry
in two and three dimensions provides the
organizing set of concepts for the course.
Formal proof within a deductive system is
emphasized. Problem solving situations are
incorporated throughout with real life
situations providing motivation and
opportunities to practice geometry skills.
Students are recommended for this course
on the basis of district criteria that
include standardized test results, course
grades, and teacher recommendations. Those
electing this accelerated academic level
should have met success as evidenced by a
"B" average or better in eighth grade
Algebra I.
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#222 -
Geometry
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Grades:
9-12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: Algebra I
This course is designed to help students
understand the fundamentals of geometry
and the importance of deductive reasoning.
The course covers the analysis of points,
lines and planes and the concepts of
distance, congruence, similarity,
perpendicularity, parallelism, area, and
volume. Topics from coordinate geometry as
well as algebra are included. Applications
of geometric concepts encountered in every
day life are utilized.
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#223 -
Geometry
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Grades:
10-12
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Level:
Standard
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Year:
5X
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Credits:
5
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Prerequisite: Algebra I
This course includes deductive and
inductive systems of logical thinking. The
properties of sets of points, lines, and
planes are studied. Concepts of distance,
congruence, similarity, perpendicularity,
parallelism, area and volume are
developed. Students solve real-world
problems that involve geometric concepts.
Problem solving often involves the use of
algebra.
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#231 - Algebra
II
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Grades:
10-12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: Geometry
This course is designed for academically
talented students providing an enriched,
stimulating environment. The accelerated
pace maximizes the breadth and depth of
study in algebra. There is extensive
application and extension of
transformational geometry in this level of
Algebra II. In addition to a rigorous
study of real and complex numbers, the
course includes extended applications of
mathematics to real life situations. The
logic of mathematics and the relevance of
mathematical topics that utilize algebraic
manipulation will be emphasized.
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#232 - Algebra
II
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Grades:
10-12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: Geometry
This course extends student understanding
of algebra. Real and complex number
properties are studied using the symbolic
system of algebra. Moving beyond linear
equations and functions, students study
and apply polynomial, logarithmic, and
exponential functions. Applications of
algebra in geometry, statistics,
probability, and logic are developed.
Significant uses of mathematics to solve
real world problems are developed.
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#233 - Algebra
II
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Grades:
10-12
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Level:
Standard
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Year:
5X
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Credits:
5
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Prerequisite: Geometry
This course emphasizes the study of the
properties and operations that apply to
the real number system. Mathematical
topics include: sets, inequalities,
factoring, simple polynomials, functions,
and relations. Second order functions and
relations are emphasized; the complex
number system is introduced. Solving
problems related to real world
applications of mathematics is an ongoing
and important activity in this course.
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#241 - Math
Analysis
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Grades:
11-12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: Algebra II
This course is designed for the
academically talented student with a
strong mathematics background and
self-motivation and a desire to study AP
Calculus. Topics include the study of
algebraic, exponential, logarithmic, and
circular functions, inverses of functions
and operations on functions. The general
properties of functions, graphs of
functions, and limits are major themes.
Also included are an exploration of
analytic geometry, math induction, the
binomial theorem, sequences and series,
matrices, and determinants. Applications,
such as those in probability and
statistics, are often used to develop
student problem solving abilities.
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#242 - Math
Analysis
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Grades:
11-12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: Algebra II
The purpose of this course is to help
prepare students for a calculus course, to
develop clarity of thought and expression,
and to develop problem-solving skills. The
course is developed to provide a review of
algebra and an extension of learning
regarding the analytic geometry of lines,
circles, and conic sections. Students work
on properties of quadratic, polynomial,
and circular functions. Other topics
include complex numbers in polar form,
vectors, sequences and series,
probability, statistics, and matrices.
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#252 -
Functions, Statistics, and
Trigonometry
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Grades:
11-12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: Algebra II
This course, in conjunction with
Pre-Calculus and Discrete Mathematics, is
designed to provide students over two
years with a thorough and complete
background in advanced topics as a
preparation for college mathematics,
including Calculus. Great emphasis is
placed on developing mathematically.
Topics include functions, conic sections,
complex numbers in polar form, vectors,
sequences and series, probability,
statistics, and matrices.
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#260 - AP
Statistics
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Grades:
11-12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: "B" or better in
Algebra II and English
The purpose of this course is to introduce
major concepts and tools for collecting,
analyzing, and drawing conclusions from
data. Four broad conceptual themes are
covered: Exploring Data, Planning a Study,
Anticipating Patterns, and Statistical
Inference. Students who are successful on
the Advanced Placement test may receive
college credit and/or advanced placement
for a one-semester introductory college
statistics course.
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#262 -
Pre-Calculus and Discrete
Mathematics
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Grade:
12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: FST
This course is designed to provide
students with a thorough and complete
background in advanced topics as a
preparation for college mathematics,
including Calculus. Students study a
variety of functions and, especially,
applications for them. They develop
improved skills for applying algebraic
properties. Topics in discrete
mathematics, probability and statistics,
and the underpinnings of calculus are
developed.
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#270 - AP
Calculus AB
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Grade:
12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: Math Analysis
Accelerated
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#272 -
Calculus
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Grade:
12
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Level:
Academic
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Year:
5X
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Credits:
5
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Prerequisite: Math Analysis
The purpose of this course is to provide
an understanding of differential calculus
and an introduction to integral calculus
as a firm basis for success in college
calculus. Analytic geometry and
trigonometry are reviewed and used in the
solutions of problems. Concepts about
limits are used extensively and a wide
variety of applications are explored to
demonstrate the power of the calculus.
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#280 - AP
Calculus BC
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Grade:
12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: Minimum "A-"
average in Math Analysis Accelerated and
minimum score of 700 on mathematics SAT.
Students electing these courses will
have a summer review assignment.
These courses are designed for
students who intend to take the Advanced
Placement Test in Calculus, either AB or
BC. These programs are primarily concerned
with providing an understanding of the
concepts of calculus and experience with
its methods and applications. Students who
enroll in this program must have a
thorough knowledge of college preparatory
mathematics, including algebra, geometry,
trigonometry, and analytic geometry.
Topics included in the AP Calculus AB and
BC Level courses are: 1) Functions -
analysis of graphs, limits of functions,
asymptotic and unbounded behavior,
continuity as a property of functions and
BC: parametric, polar and vector
functions; 2) Differential Calculus -
concept of the derivative, derivative at a
point and as a function, second
derivative, applications of derivatives,
and computation of derivatives; 3)
Integral Calculus - Riemann Sums,
interpretations and properties of definite
integrals, applications of integrals, the
Fundamental Theorem of Calculus,
techniques of anti-differentiation,
applications of anti-differentiation, and
numerical approximations to definite
integrals; and BC 4) Polynomial
Approximations and Series - concept of
series, series of constants and Taylor
series.
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#281 -
Mathematics for the
PSAT/SAT
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Grades:
10-12
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Level:
0
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Sem:
5X
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Credits:
2.5
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Prerequisite: Geometry
This semester elective is geared towards
students who are planning to take the
Scholastic Aptitude Test during the school
year. Its focus is not on strategies to
"beat" the test, but rather on building
students' confidence in using the inherent
mathematical concepts and applications
that are fundamental to a successful
outcome. Time management strategies are
incorporated and put to practice over the
course of the semester.
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Computer
Programming Courses
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#284 -
Computer Programming
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Grades: 9-12
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Level: Accelerated
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Year: 5X
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Credits: 5
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This course serves as a prerequisite to
Advanced Placement Computer Science. In
this course, students learn how to use a
high level, structured programming
language to solve problems drawn from
business, mathematics, science, and other
pertinent fields. In addition, students
will be introduced to programming
structures used to acquire, organize, and
manage data sets. Students will become
sufficiently familiar so that they can
continue to explore and develop their
skill in using the language to solve
problems independently. A placement test
will be administered to students as a
guide to course expectation and level of
student skills.
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#290 - AP
Computer Science
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Grades:
11-12
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Level:
Accelerated
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Year:
5X
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Credits:
5
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Prerequisite: Intro to Data
Structures ("C" or better in Computer
Programming)
This course introduces students to
computer science as the area of study
through which computer software is
developed. The course begins with an
exploration of structured programming
techniques to control devices external to
the computer. Students will learn how
information is organized in a computer,
and how it can be utilized. Students will
be prepared for and expected to take the
Advanced Placement Test in Computer
Science.
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