# MATHEMATICS COURSES

Co-enrollment of mathematics courses:
Due to the sequential nature of mathematics,
the following are the only courses that may be
taken concurrently: Math PLUS classes, HSPA
Math, AP Statistics, Intro to Statistics and
Discrete Mathematics. Computer Science courses
(Python Programming, Intro to Computer
Science Using Java, Object Oriented
Programming Using Java, AP Computer Science
in Java) can be taken concurrently with
mathematics courses but must be taken
sequentially with other Computer Science
courses. Geometry and Algebra II may also be
taken concurrently in grades 10 through 12
with the department supervisor approval
and an A in PHS Algebra I.

## ALGEBRA I: H24010

Grades: 9-12

5.0 Credits

Year

Prerequisites: Successful completion of a prealgebra
course.

Recommended for students not
demonstrating mastery in essential Algebra I
concepts as outlined through the NJ Student
Learning Standards.
This is a standard course in Algebra I. It makes
the transition from the specifics of arithmetic to
the generalizations of higher math. Topics include
problem-solving, patterns and functions,
data analysis, equations and inequalities, as well
as other key concepts outlined in the NJ Student
Learning Standards.

## ALGEBRA I PLUS: H24011

Grades: 9-10

5.0 Credits

Year

Prerequisites: Students taking Algebra I who
have been identified needing additional support
through a criteria matrix.

The purpose of the PLUS class is to enable
students to achieve their potential by providing
academic support in identified areas of need.
These areas will be assessed and progress will
be monitored to show the growth that supports
their success in Algebra I.

## GEOMETRY I: H24021

Grades: 9-12

5.0 Credits

Year

Prerequisites: Successful completion of Algebra
I.

Student with a C- or below in Algebra I must
be enrolled in Geometry Plus.

The study of geometry includes triangles and
their congruence, circles, spheres, quadrilaterals,
similarity of polygons, characterizations of sets
and construction, transformational geometry,
and plane coordinate geometry.

## GEOMETRY I ACCELERATED: H24022

Grades: 9-12

5.0 Credits

Year

Prerequisites: An A in middle school Algebra I or
high school Algebra I and Benchmark
Assessments, or B or above in Grade 8
Accelerated Algebra II.

Geometry I Accelerated is a rigorous course
which covers most of the topics of plane
geometry, with additional emphasis on the more
complex theorems of solid geometry. The
nature of geometric proofs is emphasized. A
student who chooses this course should be
aware of the following: the range of topics is
greater and in more depth than a nonaccelerated
course, and the pace is faster.

## GEOMETRY I PLUS: H24020

Grades: 9-12

5.0 Credits

Year

Prerequisites: Students taking Geometry I who
have been identified needing additional support
through a criteria matrix.

The purpose of the PLUS class is to enable
students to achieve their potential by providing
academic support in identified areas of need.
These areas will be assessed and progress will
be monitored to show the growth that supports
their success in Geometry I.

## ALGEBRA II ELEMENTS: H24030

Grades: 9-12

5.0 Credits

Year

Prerequisites: Successful completion of
Geometry Elements or below C- in Geometry I.

Algebra II Elements will review many of the
topics learned in Algebra I. Students will also
study linear and quadratic functions, direct
variations, radicals, and other related subjects.
Concepts may be developed using the graphing
calculator.

## ALGEBRA II: H24031

Grades: 9-12

5.0 Credits

Year

Prerequisites: C- or above in Geometry, or B- or
below in Geometry Accelerated.

In Algebra II, students will cover traditional
material on inequalities, graphing, functions,
rational exponents, factoring, systems of
equations, rational expressions, solutions of
equations, quadratic relations, exponential
function and logarithms.

## ALGEBRA II ACCELERATED: H24033

Grades: 9-12

5.0 Credits

Year

Prerequisites: A in both Algebra I and
Geometry, or B or above in Geometry
Accelerated.

Algebra II Accelerated is a rigorous course,
which covers all the topics of standard Algebra
II. Additional emphasis is placed on the concepts
of functions, analysis, conics, logarithmic and
exponential functions, and matrices. A student
who chooses this course should be aware of the
following: the range of topics is greater and in
more depth than a non-accelerated course, and
the pace is faster. Additional topics covered:
conic sections, counting methods, probability,
data analysis, statistics, sequences and series.

## ALGEBRA II PLUS: H24032

Grades: 9-12

5.0 Credits

Year

Prerequisites: Students taking Algebra II who
have been identified needing additional support
through a criteria matrix.

The purpose of the PLUS class is to enable
students to achieve their potential by providing
academic support in identified areas of need.
These areas will be assessed and progress will
be monitored to show the growth that supports
their success in Algebra II.

## APPLICATIONS OF ADVANCED ALGEBRA: H24040

Grade: 9-12

5.0 Credits

Year

Prerequisites: Successful completion of Algebra
II or Algebra II Elements.

Algebra for students wishing to further explore
patterns and relationships which occur through
real world applications. Curriculum topics will
include, but not be limited to, mathematical
reasoning, solving problems using Venn
Diagrams, math in retail sales, uses for radicals
and exponents, solving formulas in electronics
and other concepts relevant to the 21st century.

## FOUNDATIONS OF PRE-CALCULUS: H24050

Grades: 9-12

5.0 Credits

Year

Prerequisites: C or below in Algebra II and
completion of Geometry or an A in Algebra II
Elements.

Foundations of Pre-Calculus will review many
topics from Algebra II. It will also include a full
study of functions (linear, polynomial, rational,
exponential and logarithmic) and their graphs,
as well as an introduction to trigonometry.

## PRE-CALCULUS: H24051

Grades: 9-12

5.0 Credits

Year

Prerequisites: C- or above in Geometry, or B- or
below in Geometry Accelerated AND C+ or
above in Algebra II, or B- or below in Algebra II
Accelerated.

Pre-Calculus emphasizes the study of elementary
functions and the sketching of their graphs.
Functions are covered intensively.
Trigonometry and applications are fully
developed in this course. Other topics include
logarithmic, exponential and inverse functions.

## PRE-CALCULUS ACCELERATED: H24052

Grades: 9-12

5.0 Credits

Year

Prerequisites: B or above in Algebra II
Accelerated, or A in Algebra II and B or above in
Geometry Accelerated, or A in Geometry
Pre-Calculus

Accelerated is a rigorous course,
which includes the topics developed in pre-calculus.
It also includes selected topics in analytic
geometry, probability, sequences and series, vectors, polar coordinates, parametric equations,
limits, and an introduction to calculus. A student
who chooses this course should be aware of the
following: the range of topics is greater and in
more depth than a non-accelerated course, and
the pace is faster.

## CALCULUS: H24060

Grade: 9-12

5.0 Credits

Year

Prerequisites: Successful completion of PreCalculus,
or C or above in Foundations of PreCalculus.

Calculus is designed to introduce concepts of
differential and integral calculus, with the emphasis
on a gradual, thorough approach. Use of
a graphing calculator is integrated throughout
the course.

## AP CALCULUS AB: H24061

Grades: 9-12

5.0 Credits

Year

Prerequisite: A in Pre-Calculus, or C+ or above
in Pre-Calculus Accelerated.

This course covers the rate of change of a function,
differentiation of algebraic and transcendental
functions, plane analytical geometry, and
integrals. Use of a graphing calculator is
integrated throughout the course. This course is
designed to prepare students to take the CEEB
AP Calculus AB examination. Success on this
exam could mean advanced placement for up to
two semesters of college calculus.

## AP CALCULUS BC: H24062

Grades: 9-12

5.0 Credits

Year

Prerequisite: B+ or above in Pre-Calculus
Accelerated.

In addition to the topics of Calculus AB, students
in this course will study differential equations,
sequences, series, polar coordinates, and
parametric equations. Use of a graphing calculator
is integrated throughout the course. This
is a rigorous course designed to prepare the
student to take the CEEB AP Calculus BC examination.
Success on this exam could mean
advanced placement for up to three semesters
of college calculus.

## MULTIVARIABLE CALCULUS AND LINEAR
ALGEBRA: H24063

Grades: 9-12

5.0 Credits

Year

Prerequisite: AP Calculus BC with a B or better

The course covers the typical topics in a course
in three dimensional, multivariable calculus,
including but not limited to vector valued
functions, multivariant functions and their
derivatives, multiple integrals, techniques and
theorems for the integration of vector fields.
Topics from Linear Algebra will include linear
transformations, Subspaces of R, linear spaces,
orthogonality, determinants, Eigenvalues and
Eigenvectors, and linear differential operators.

## INTRODUCTION TO STATISTICS, DATA
ANALYSIS AND PROBABILITY: H22070

Grade: 11-12

2.5 credits

Sem

Prerequisite: C or above in Algebra II.
Foundations of Precalculus or Precalculus may
be taken concurrently.

This course would serve
as a non-rigorous first course in statistics, data
analysis and probability with a strong emphasis
on applications and the thinking behind data
gathering and interpretation, rather that on
theory and computation. (This course is not
intended to prepare students for the AP exam in
Statistics.) Students will learn about statistics
and data by working with data. The use of
graphing calculators will be incorporated
throughout the course. This approach reflects
the way real-life statisticians contribute to our
understanding of the world. It will also help
students be more discerning consumers of
statistics, teaching them to look closely at what
the numbers from surveys, election polls, and
medical studies are really saying.

## AP STATISTICS: H24072

Grades: 11-12

5.0 Credits

Year

Prerequisites: B or above in Algebra II.
Pre-Calculus may be taken concurrently.

This
course introduces students to the major
concepts and tools for collecting, analyzing, and
drawing conclusions from data. It is a collegelevel
course and will follow the syllabus
recommended by the College Entrance
Examination Board. This course is designed to
prepare students to take the CEEB AP Statistics
examination.

## DISCRETE MATHEMATICS: H22071

Grade: 11-12

2.5 Credits

Sem

Prerequisites: C or above in Algebra II.

Foundations of PreCalculus or PreCalculus may
be taken concurrently. Discrete mathematics is
the study of mathematical topics which deal with
things that can be counted using whole
numbers, rather than continuous sets of
numbers (like those covered in Algebra,
21
Trigonometry and Calculus). The focus of this
course will be on practical applications of
discrete mathematics, particularly to issues of
social choice and decision-making. Students
will explore the connections among
mathematical topics and real-life events and
situations, while sharpening their problem
solving, mathematical