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Curriculum
Mathematics
Graduation Requirements:
Algebra I, Geometry, Algebra II.
Algebra I consists of Algebra I
A and Algebra I B. Algebra I A
is the
ALGEBRA I (B)
(one year)
Algebra I (B) is designed to
reinforce basic algebra skills
while
developing logical thinking.
Problem-solving techniques are
used
extensively with solving
equations, polynomials,
factoring, algebraic
fractions, systems of linear
equations, functions, rational
and irrational numbers.
Prerequisite: Algebra I A.
A required course for Upper
School students.
GEOMETRY
(one year)
Geometry stresses inductive and
deductive reasoning and higher
level thinking skills. Through
the use of theorems, postulates,
and definitions, students use
their reasoning skills to prove
theorems
about basic geometric shapes,
e.g., triangles, quadrilaterals,
and circles. Throughout the
year, both plane and solid
geometric
applications are stressed.
Skills previously introduced in
algebra
are maintained through the
solution of various types of
geometry
problems.
Prerequisite: Algebra I.
A required course for Upper
School students.
GEOMETRY HONORS
(one year)
Honors Geometry stresses the
principles of logical reasoning,
utilizing deductive and
inductive reasoning skills.
Euclidean and
non-Euclidean geometries will be
explored, including
transformational, coordinate,
and three-dimensional geometries
throughout. An accelerated pace,
emphasis on independent
learning, use of computer
technology, and multi-faceted
problems will be central to this
challenging course. Students are
selected based upon
their aptitude and performance
in Algebra 1. The student must
maintain a “B” average to remain
in the course.
Prerequisite: Algebra I and
Departmental approval.
An elective course for Upper
School students.
ALGEBRA II
(one year)
Algebra II is an extension of
Algebra I both in depth of
topics
covered as well as new topics
introduced. Students become more
adept at solving equations and
inequalities, graphing, data
analysis,
and operations with matrices.
Programmable graphing
calculators
and computer graphics software
are utilized throughout
the course, placing the emphasis
on problem solving techniques
and real life applications.
Prerequisite: Algebra I and
Geometry.
A required course for Upper
School students.
ALGEBRA II HONORS
(one year)
This course covers the same
material as Algebra II with
additional emphasis on the
derivations and theory behind
each
topic. Students will be selected
for this course based on their
aptitude and performance in
Algebra I and Geometry or
Geometry Honors. The student
must maintain a “B” average to
continue in the course.
Prerequisite: Algebra I,
Geometry and departmental
approval.
ALGEBRA III
(one year)
Topics include: polynomial,
exponential, and logarithmic
functions, polynomial equations,
matrices, determinants, and
systems of linear equations,
sequences, series, mathematical
induction, permutations,
combinations, the binomial
theorem,
and conic sections.
Prerequisite: Algebra II.
An elective course for Upper
School students.
PRE-CALCULUS
(one year)
Pre-calculus is an extension of
Algebra II, with a particular
emphasis on trigonometry,
rational functions, logarithmic
functions, and analytic
geometry. A successful student
in Pre-
Calculus may apply to take AP
Calculus through the
AP/honors application process.
Prerequisite: Algebra II, with a
grade of B or higher.
An elective course for Upper
School students.
PRE-CALCULUS HONORS/CALCULUS A
(one year)
Pre-calculus Honors is a
rigorous, fast paced course
designed
to prepare students who have
demonstrated proficiency in
previous mathematics courses for
the AP Calculus courses.
Topics include trigonometric
functions, composite and inverse
functions, vectors, complex
numbers, limits, derivative of
polynomials, use of derivatives
in curve sketching, solving
maximum problems, graphs of
rational functions, and method
of exhaustion. Students will be
introduced to the concepts of
Calculus which will allow
well-prepared students to be
considered for placement into BC
Calculus with department
approval. Students are selected
based upon their aptitude and
performance in Algebra II or
Algebra II Honors. Students must
maintain a “B” average to remain
in the course.
Prerequisite: Algebra II and
departmental approval.
An elective course for Upper
School students.
ADVANCED MATH
(one year)
This course introduces the
elementary concepts of calculus
combined with a review of
algebraic skills. After an
initialstudy of functions and
limits, students investigate the
differentiation
and integration of algebraic and
exponential functions
and the practical applications
of these functions. In addition
an introduction to probability
and statistics is presented.
Prerequisite: Pre-Calculus.
An elective course for Upper
School students.
ADVANCED PLACEMENT STATISTICS
(one year)
Advanced Placement Statistics is
a rigorous college-level course
intended to prepare students for
the AP Statistics exam. Topics
include methods for collecting,
analyzing and interpreting data,
as well as statistical inference
analysis techniques.
Prerequisite: Pre-Calculus and
departmental approval
through an AP/honors
application.
An elective course for Upper
School students.
ADVANCED PLACEMENT CALCULUS AB
(one year)
Advanced Placement Calculus is a
rigorous college-level
course intended to prepare
students for the AP Calculus AB
exam. Topics include elementary
functions, differential and
integral calculus, sequences and
series, and elementary
differential equations.
Prerequisite: Pre-calculus or
Pre-Calculus Honors and
departmental approval.
An elective course for Upper
School students.
ADVANCED PLACEMENT CALCULUS BC
(one year)
This course contains all of the
topics listed in Calculus AB. In
addition, the course covers
techniques of integration,
L’Hopital’s
rule, parametric equations,
infinite series, and vector
analysis.
Prerequisite: AP Calculus AB
with a score of 3 or higher on
the exam and departmental
approval , or completion of Pre-
Calculus Honors and departmental
approval.
An elective course for Upper
School students
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