


Course Descriptions
PreAlgebra
Level 3
PreAlgebra is designed to prepare students to enter Algebra I. The
concepts taught include numerical computations, evaluating and writing algebraic
expressions, solving equations, inequalities, factoring, graphs, patterns and
basic statistics and probability. The development and use of problem solving
strategies and logical thinking is a longterm goal.
Algebra
Levels 1 & 2
Algebra I, Level 2 lays the groundwork for all mathematics study by
establishing the concepts of set theory, axioms, and properties of the real
number system. Equations and inequalities are studied with emphasis on
transforming verbal statements into mathematical symbols. Polynomials, rational
algebraic expressions, graphing, linear equations and radicals are also
examined. Level 1 is offered by invitation only to those students with special
ability in mathematics.
Algebra
Levels 3
Algebra I, Level 3 will reflect many of the same concepts as Algebra I,
Level 2, such as, equations and inequalities, polynomials, rational algebraic
expressions, graphing linear equations, and radicals. As a modified academic
course, it will include fewer complex problems and be taught at a slower pace.
This course is recommended for students who have completed PreAlgebra at the
high school level.
Algebra II
Levels 1 & 2
Algebra II continues to build on the algebraic foundation of Algebra I.
The course involves the study of number systems, linear, quadratic and
simultaneous equations and their graphs, conic sections, polynomials, functions,
and logarithms. Level 1 is offered by invitation only to those students with
special ability in mathematics.
Algebra II
Levels 3
Algebra II, Level 3 has the same content as described in Levels 1 and 2,
but is less rigorous, and places greater emphasis on practical applications.
This course is only offered to seniors.
Geometry
Levels 1 & 2
Geometry is based on Euclid’s elements of deductive reasoning which
emphasized the geometry of the plane surface. Area, volume, congruent triangles,
polygons, and constructions are studied. Twocolumn proofs of theorems are
developed. Algebraic applications of geometric concepts are frequent. Level 1 is
offered by invitation only to those students with a special ability in
mathematics. Successful completion of Algebra I is required.
Geometry
Levels 3
Geometry Level 3 has the same content as described in Levels 1 and 2, but
is less rigorous, and places greater emphasis on practical application.
Introduction to Algebra II
Level 3
This course provides an integrated review of Algebra and Geometry for
those students who have had difficulty with those subjects and are not yet ready
for Algebra II. This course then builds on these foundations to study systems of
linear equations, functions, polynomials, quadratic equations, complex numbers,
and discrete mathematics. Successful completion of Algebra I and Geometry is
required.
Introduction to PreCalculus
Level 3
This course is designed for students who have completed Algebra II and
are not yet ready for PreCalculus, Level 2. The course will review concepts
from Algebra II, introduce new topics in advanced Algebra and study
trigonometric functions and their applications. Successful completion of Algebra
II is required.
PreCalculus
Levels 1 & 2
This is a course based on the study of functions. It begins with a review
of Algebra II, continues with trigonometric functions and their applications,
then concludes with several topics in advanced algebra. Level 1 is offered by
invitation only to those students with a special ability in mathematics.
Successful completion of Algebra II is required.
Calulus
Levels 2
This course was designed for students with mathematical aptitude who have
an understanding of PreCalculus and the desire to study Calculus in college.
The year begins with a review of elementary functions followed by a study of
limits, differential calculus and beginning integral calculus. Successful
completion of PreCalculus is required.
Calculus AB
Levels 1  Advanced Placement
This course is offered to those students who display special ability in
mathematics. This course will be equivalent to a first semester college calculus
course. Students taking this course will be able to take the College Board
Placement Test in AB Calculus and could receive college credit or advanced
standing depending upon their score and the policy of the college. Level 1 is
offered by invitation only. Successful completion of PreCalculus is required.
Probability and Statistics
Levels 2
This course is divided into three categories: descriptive statistics,
probability, and inferential statistics. The course includes application for
college bound students for all academic areas. Successful completion of Algebra
II is required
Computer Programming I
Levels 2
This course is designed to be an introductory programming course. The
concepts taught will include, input/output operations, arithmetic operations,
accumulating and displaying totals, comparing, array processing, searching and
sorting, string processing, file processing, and report generation. Emphasis
will be on problemsolving techniques and logic. Successful completion of
Geometry Level 2 is required. Credits for this course do not satisfy Math
requirements for graduation.
HSPA Prep I, II, III
Levels 3 & 4  Not an elective
These courses are for students who have been officially identified as
needing remediation in the mathematics skills required by the State for high
school graduation. They reinforce the math clusters outlined in the New Jersey
Core Curriculum Content Standards. The students will receive intensive
preparation for the HSPA which is administered in the Spring of their junior
year. Placement in Level 3 or Level 4 depends on standardized test scores.
HSPA Prep IV
Level 4  Not an elective
Students who do not achieve a proficient score on the HSPA are required
to take this class. This course will prepare students for the October
administration of the HSPA, administer the Special Review Assessment (SRA), and
provide remediation.
Math I
Level 5
Available for students in need of individualized or small group
instruction, with Child Study Team approval. Emphasis is on mastery of basic
math operations, including addition, subtraction, multiplication, and division
of whole numbers, fractions and decimals. Additional topics include measurement,
percentage, number theory, graphs, charts and problem solving.
Math II
Level 5
Available for students in need of individualized or small group
instruction, with Child Study Team approval. This course is designed for
students who need reinforcement with basic math skills. Additional topics
covered are prealgebra and geometry.
Math III
Level 5
Available for students in need of individualized or small group
instruction, with Child Study team approval. This course is designed for
students in need of reinforcement with basic math operations within the context
of practical situations familiar to most adults.
Math IV
Level 5
Available for students in need of individualized or small group
instruction, with Child Study Team approval. The course provides students with
the necessary information and skill development to make wise and informed
consumer decisions.
SEMESTER COURSES
Enriched Topics in Mathematics
Level 2
This course is a onesemester elective designed to make connections
between the various branches of mathematics that students learn in high school.
It will contain topics outside the standard Algebra I and Geometry curricula.
This course will enable students to examine unique historical and modern topics,
such as different bases, nontraditional ways of performing the four basic
operations, and palindromes. These topics will assist students in becoming
better problemsolvers, developing a greater level of logical reasoning skills
and obtaining a higher affective appreciation for mathematics. Successful
completion of Geometry, Level 1 or Level 2 is required.
SAT Preperation
Level 2
The SAT Preparation Course is a onesemester elective which prepares
students for the verbal and math sections of the SAT. Nine weeks will be spent
on verbal and nine weeks on math. Critical reading, writing, vocabulary and
logical reasoning skills needed on the SAT will be addressed. Specific
testtaking strategies for the SAT will also be presented. Completing this
course is in no way a guarantee of desired results on the SAT. Successful
completion of Geometry, Level 1 or Level 2 is required. This class is open to
second semester sophomores, all juniors, and first semester seniors. Credits for
this course do not satisfy Math or English graduation requirements.
Seneca High School
110 Caranza Road
Tabernacle, New Jersey 08088
(609)2684600