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Mathematics
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The high
school mathematics program is designed to develop
students' knowledge and skills within contexts of
realistic and relevant problems. Tasks and
activities are chosen to provide students with
appropriate supports and challenges. There are
several options in courses and levels that students
may select in order to be prepared to use and study
mathematics after high school. Students should use
departmental recommendations and consult with their
current math teacher and their counselor 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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This course is designed for students
who need additional reinforcement of basic
Pre-Algebra skills and algebraic thinking
for success in high school mathematics. A
wide variety of manipulatives, hands-on
modeling, and technology resources are
incorporated to help students make sense
of algebraic symbols and procedures.
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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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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 and
topics from geometry, probability, and
discrete math. There is an emphasis on
solving-problems using mathematics.
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#291 - Math
9
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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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In
this course, students use geometric
representations as a unifying theme to
complete their study of Algebra 1 content
begun in middle school and continue the
study of geometry, statistics, and
discrete mathematics. The course provides
an enriched and accelerated environment
where problem-solving situations motivate
logical thinking, the use of multiple
representations, making connections, and
formal proof. 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 mathematics.
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#292 - Math
9
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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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In
this course, students use geometric
representations as a unifying theme to
complete their study of Algebra 1 content
begun in middle school and continue the
study of geometry, statistics, and
discrete mathematics. The course provides
an enriched environment where
problem-solving situations motivate
logical thinking, the use of multiple
representations, making connections, and
deductive reasoning. Students develop
their skill at choosing efficient
problem-solving methods and prepare for
advanced high school courses by developing
their ability to apply algebraic
techniques in and out of context.
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#293 - Math
9
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Grades:
9-12
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Level:
Standard
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Year:
5X
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Credits:
5
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In
this course, students complete their study
of Algebra 1 content begun in middle
school, and continue to connect
mathematical concepts from geometry,
probability and discrete mathematics to
make sense of mathematical symbols and
procedures. Students study geometric
contexts that provide an enriched and
stimulating environment for
problem-solving. Students use deductive
reasoning, inductive reasoning, and
multiple representations to develop their
skill at choosing efficient
problem-solving methods. Students prepare
for the further study of high school
mathematics and college entry requirements
by developing their ability to apply
algebraic techniques.
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#221 -
Geometry
#222 - Geometry
#223 - Geometry
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Grades: 10-12
Grades: 10-12
Grades: 10-12
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Level:
Accelerated
Level: Academic
Level: Standard
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Year: 5X
Year: 5X
Year: 5X
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Credits: 5
Credits: 5
Credits: 5
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See
descriptions for the corresponding levels
of Math 9 above.
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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 is designed to provide an
enriched environment for the study of the
algebraic representations needed for
advanced high school courses. Students
study properties of real and complex
numbers 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. Students develop
their ability to use algebraic
representations to model and solve
problems from other high school subjects
and real life situations.
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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 is designed to provide an
enriched environment for studying
algebraic reasoning and logical thinking
in problem-solving situations from real
life. Students extend their ability to
connect mathematical concepts from
geometry, probability and discrete math to
make sense of mathematical symbols and
procedures. Mathematical topics include:
sets, inequalities, factoring, simple
polynomials, functions, and relations.
Second order functions and relations are
emphasized; the complex number system is
introduced.
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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,
self-motivation, and a desire to study AP
Calculus and/or AP Statistics. 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
students' 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
This course focuses on the kinds of
mathematical reasoning used in calculus
and/or college-level statistics and is
designed for the student interested in
advanced study in such courses. Students
develop their ability to use mathematical
symbols meaningfully and apply procedures
fluently. Students use algebraic reasoning
to model situations and solve problems in
the real world. The course provides
students with the further study of
algebraic representations, with extensions
into the analytic geometry of lines,
circles, and conic sections. Students
develop facility with the 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, &
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 is the first in a two-year
sequence of courses designed to provide
students with a thorough and complete
background in advanced topics as a
preparation for college mathematics,
including Calculus. Great emphasis is
placed on developing mathematical
reasoning skills and fluency with
mathematical symbols and procedures.
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 & 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 develop
improved skills in applying algebraic
properties, and in using algebraic
reasoning to model situations and solve
problems in the real world. Topics in
discrete mathematics, probability and
statistics, and the underpinnings of
calculus are developed.
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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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#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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#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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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,
how it can be manipulated, 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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