# Mathematics Department

## Course Offerings

**ALGEBRA 1 Full Year**

The concepts needed for the
further study of math are covered with the emphasis on problem solving.
The student will develop the understanding of the real number system and
perform the four basic operations on polynomial, rational and radical
expressions. The concepts of simplifying and evaluating mathematical
expressions, determining the solutions to equations and inequalities and
the development of graphing are all used in the context of applications
to real world situations. There will be constant emphasis on arithmetic
skills and their applications.

**ALGEBRA 1 HONORS Full Year**

The
student will develop an understanding of the real number system and be
able to apply the four basic operations on polynomial, rational and
radical expressions. The steps leading to solutions of linear and
quadratic equations and of inequalities are geared to problem solving.
Graphing on the coordinate system will aid in the basic understanding of
functions. There will be an emphasis on the solution of real world
problems.

**ALGEBRA 1A / ALGEBRA 1B Full Year***

The
concepts needed for the further study of math are covered with the
emphasis on problem solving. The student will develop the understanding
of the real number system and perform the four basic operations on
polynomial, rational and radical expressions. The concepts of
simplifying and evaluating mathematical expressions, determining the
solutions to equations and inequalities and the development of graphing
are all used in the context of applications to real world situations.
There will be emphasis on reviewing basic arithmetic skills and the
practical applications of algebra and arithmetic in everyday life. In
the second semester, the course will concentrate on factoring,
simplifying rational expressions, graphing in the coordinate plane,
solving systems of equations and identifying functions.

*Enrollment
in this course represents two courses for scheduling purposes.
Placement in this class is based upon the math score on the Entrance
Exam and math grades in the 7th and 8th grades. Recommendation from the
8th grade math teacher may be considered as well.

**DESCRIPTIVE GEOMETRY Full Year**

Using
definitions, basic postulates and theorems, students will learn to
solve problems involving triangles, other polygons, circles and solids.
Other elements consist of areas of plane figures, areas and volumes of
solids and the applications of coordinate geometry and basic
trigonometry. The course includes a constant review of arithmetic and
algebraic skills.

**GEOMETRY Full Year**

Students
will be presented units that develop an understanding of applications of
the basic theorems, postulates and definitions of geometry. Using these
basic concepts will enable the student to study congruent and similar
figures, discover the properties of geometric figures (especially
triangles and rectangles), perform geometric constructions, use the
basic elements of coordinate geometry and trigonometry, develop the
properties of measurement and learn the principles of logical inference
and proof.

**GEOMETRY HONORS Full Year**

Geometry
is the study of figures and their properties. There is an emphasis on
the study of congruent and similar figures, the properties of various
figures (especially triangles and rectangles), the use of coordinate
geometry, the methods of measurement, three-dimensional geometry and an
introduction to trigonometry.

**INTERMEDIATE ALGEBRA Full Year**

Much
of the work in this course will be a review of the material covered in
first year algebra and geometry courses. The last part of the course
will include the study of radicals, quadratic equations and relations,
conic sections and a study of exponential and logarithmic functions. The
emphasis is on understanding the concepts, problem solving techniques
and applications on various models.

**ALGEBRA 2 Full Year**

In
addition to both reinforcement and a more advanced study of the
concepts studied in Algebra I, this course develops the concepts of
radicals, complex numbers, functions, including quadratic, exponential,
logarithmic and trigonometric and the real-life applications of
trigonometry.

**ADVANCED ALGEBRA/TRIGONOMETRY HONORS Full Year**

This
course is a continuation of the material studied in Algebra I. There is
a review and further development of the structure of the real number
system, the solving of equations and inequalities, the manipulation of
polynomial and fractional expressions and graphing. This is followed by
the study of radicals, complex numbers, quadratics, functions, analytic
geometry, exponents, logarithms and sequences. The last quarter of the
year is devoted to the study of trigonometry from the point of view of
circular functions.

**5402 STATISTICS Full Year**

This
course will introduce general statistical principles, which will be
useful to all students regardless of their field of specialization.
Fundamentals of data collection, graphing, probability and measures of
central tendency will be the primary focus of the course work. Studies
involving student collected data outside of the classroom and computer
assisted instruction will be an integral part of the course.
Spreadsheets, graphical analysis and simulations will be used to
investigate topics of student interest. This course provides an
excellent framework for future study in statistics.

**TRIGONOMETRY/ANALYTIC GEOMETRY Full Year**

Trigonometry
is presented as the study of properties and applications of circular
functions. There will be an emphasis on graphing trigonometric
functions, discovering identities for right triangles, solving
trigonometric equations and solving problems involving the sides and
angles of triangles and their applications to real life situations.
Analytic Geometry is primarily the in-depth study of the properties and
graphs of lines, conic sections as well as quadratic and other functions
with an emphasis on the equation of each figure.

**PRECALCULUS Full Year**

This
course includes the study of functions and graphs, polynomial and
rational functions, exponents and logarithms, a review of trigonometry
and its applications, polar coordinates, conics and inequalities.

**PRECALCULUS HONORS Full Year**

This
course includes the study of probability, statistics, analytic geometry
in two and three dimensions, the theory of equations, graphing,
progressions, exponential and logarithmic functions, a review of
trigonometry and an introduction to calculus.

**CALCULUS Full Year**

This
course offers students the opportunity to explore the fundamental
principles of Calculus at a pace that provides students time to
understand, appreciate and apply these concepts ultimately preparing
students for a first-year college Calculus course. Topics include
limits, some techniques of differentiation and integration and
applications.

**ADVANCED PLACEMENT STATISTICS Full Year**

This
course is an introduction to the major concepts and tools for
collecting, analyzing and drawing conclusions from data. Students will
explore data, plan a study, anticipate patterns and use statistical
inference.

**ADVANCED PLACEMENT CALCULUS AB Full Year**

This
course of study follows that of the Advanced Placement Program.
Beginning with an introduction to probability, the course consists of
the study of differentiation and integration of polynomial, rational,
irrational, logarithmic, exponential and trigonometric functions and
their numerous applications. Students who progress satisfactorily in the
course can take the Advanced Placement Calculus AB Examination in early
May. Most colleges will award college credit for a calculus course to
students who pass this examination.

**ADVANCED PLACEMENT CALCULUS BC Full Year**

Intended
as a continuation of Calculus AB, material consists primarily of the
study of graphs, differentiation and integration of vector, polar and
parametric equations. Students will study more advanced forms of
integration and the applications of the derivative and integral. The
course will conclude with the study of sequences and series. Students
who progress satisfactorily in this course can take the Advanced
Placement Calculus BC Exam offered in May. Passage of this test can
enable the student to receive a full year of college calculus credit.

**BEGINNING COMPUTER PROGRAMMING Full Year**

This
course examines the fundamentals of computer science. Topics include
fundamentals of programming, basic problem-solving techniques, simple
graphical user interfaces and algorithms and general object-oriented
software engineering using the Java programming language. This course
guides students in exploring the fascinating world of computer
programming through working on a variety of individual and team
projects. This course fulfills the first year provision of a two-year
preparation for the College Board's Advanced Placement Computer Science
exam.

**ADVANCED PLACEMENT COMPUTER PROGRAMMING Full Year**

This
course continues to explore the fundamentals of program design and data
structures in computer science. Topics include algorithm analysis,
abstract data structures, algorithm complexity, binary trees and other
advanced software development and problem-solving techniques. This is
the second year course of the two-year program preparing students for
the College Board’s Advanced Placement Computer Science AB test, which
is given in May.