Length: Year Credits: 5

Grade level: 9

This
course is designed to introduce students to the fundamental concepts
and applications of Algebra in a real-world context. Topics include:
algebraic expressions, proportional reasoning, and percents, linear
equations and inequalities, graphing linear functions, order of
operations, polynomials and factoring. Students will use graphing
calculators and hands-on activities to gain an understanding of
fundamental algebraic concepts and the knowledge required for Algebra I.

** **

Length: Year Credits: 5

Grade level: 10

**Pre-requisite: Introduction to Algebra OR its equivale**nt

Students
in this course will explore algebra through its relationship with
geometry, the physical and social sciences, and real world situations.
Topics such as data and measurement, probability, ratio and proportion,
equations and inequalities, functions and graphs, and open-ended
questions will be explored. This course is designed to develop students’
technological and problem-solving abilities. High school proficiency
skills will be embedded within the course.

** **

Length: Year Credits: 5

Grade Level: 9

This
course is the foundation for all subsequent academic mathematics
courses. It is designed for students who have a solid foundation in
basic arithmetic and an understanding of the real number system. Topics
include: the order of operations, factoring, solving and graphing linear
equations and inequalities, operations with polynomials and exponents,
systems of equations and the solution of word problems using variables
and mathematical relationships. There is an introduction to domain and
range, and an exploration of linear and quadratic equations as functions
and their inverses.

** **

Length: Year Credits: 5

Grade Level: 9

**Pre-requisites: Prior academic achievement AND teacher recommendation **

The
same topics will be taught in Honors Algebra I as in the Algebra I
course. However, there is a much greater level of rigor and challenge.
The expectation is that students in an Honors course are more
mathematically astute and mature, and are capable of maintaining an
appropriate level of academic independence. This course is designed to
prepare students to pursue additional advanced-level mathematics
courses.

** **

Length: Year Credits: 5

Grade Level: 10, 11, 12

**Pre-requisite: Algebra I OR teacher recommendation **

This
course will emphasize and focus on in-depth problem solving skills as
well as an understanding of important geometry concepts through their
connection to real world applications. Topics include: properties of
triangles, polygons and circles, inductive and deductive reasoning
leading to the development of formal proofs, and geometric
probabilities. High School proficiency skills will be embedded into the
course curriculum.

** **

Length: Year Credits: 5

Grade Level: 9, 10, 11, 12

**Pre-requisites: Advanced Algebra I OR prior academic achievement in Algebra I AND teacher recommendation **

The
course begins with an array of terms, notations and illustrations to
describe and represent geometric relationships among points, lines,
planes, angles and figures, such as bisection, parallelism,
perpendicularity, congruence and similarity. Students will be using and
justifying mathematical reasoning by developing informal and formal
proofs. Students will develop approaches to finding areas of plane
figures (related to polygons and circles), and surface area and volume
of three-dimensional figures.

** **

Length: Year Credits: 5

Grade Level: 9, 10, 11

**Pre-requisites: Honors Algebra I OR prior academic achievement in Algebra I AND teacher recommendation **

The
same topics will be covered in Honors Geometry as in Advanced Geometry;
however, more difficult problems and more rigorous proofs will be
selected throughout the course. The expectation is that students in an
Honors course are more mathematically astute and mature, and are capable
of maintaining an appropriate level of academic independence. Compass
and straight-edge constructions will be required of the students.

** **

Length: Year Credits: 5

Grade Level: 9, 10, 11, 12

**Pre-requisites:
Advanced Algebra I and Advanced Geometry OR prior academic achievement
in Algebra I, Geometry, AND teacher recommendation **

Algebra
II is designed to reinforce and extend the content primarily studied in
Algebra I, including: systems of equations and inequalities, matrices,
and quadratic functions. Real world situations are modeled using graphs,
tables and algebraic descriptions, and provide further development of
students’ logic and reasoning in problem-solving.

** **

Length: Year Credits: 5

Grade Level: 9, 10, 11, 12

**Pre-requisites: Honors Algebra I or Honors Geometry OR prior academic achievement AND teacher recommendation **

The
same topics will be covered in Honors Algebra II as in the Algebra II
course but with greater rigor and more challenging problems. The
expectation is that students in an Honors course are more mathematically
astute and mature, and are capable of maintaining an appropriate level
of academic independence. This course is designed for the self-motivated
student of mathematics who plans to pursue additional advanced
mathematics courses, including Calculus. A graphing calculator (TI-84)
is recommended for this course, and all subsequent Honors courses.

** **

Length: Year Credits: 5

Grade Level: 10, 11, 12

**Pre-requisites: Advanced Geometry and Advanced Algebra II, OR teacher recommendation **

This
course is designed for the mathematics student with a solid foundation
in both Algebra II and Geometry. Students continue developing their
mathematical reasoning through problem solving and the applications of
algebraic and trigonometric functions. Emphasis is placed on independent
student discovery learning and logical development of concepts. Topics
covered include relations and functions, inverses, exponential and
logarithmic functions, polynomial division, the rational root theorem,
the unit circle, the laws of sines and the law of cosines, trigonometric
equations. A graphing calculator (TI-84) is used regularly in this
course.

** **

Length: Year Credits: 5

Grade Level: 10, 11, 12

**Pre-requisites:
Honors Algebra II and Honors Geometry OR prior academic achievement in
Advanced Algebra II and Advanced Geometry, AND teacher recommendation **

This
challenging course will prepare students for success in Calculus.
Students will participate in a rigorous approach to the following
topics: relations and functions, the conic sections, systems of
equations, polynomial division and the rational root theorem, polynomial
inequalities, as well as trigonometric functions, proofs, graphs, and
equations. The expectation is that students in this course are
mathematically sophisticated, and capable of maintaining a high level of
academic independence. Students will be expected to maintain a brisk
pace with a challenging curriculum. The problems used emphasize logical
reasoning and the applications of the mathematical content. A graphing
calculator (TI-84) is used extensively in this course.

** **

Length: Year Credits: 5

Grade Level: 11, 12

**Pre-requisites: Honors Pre-Calculus OR prior academic achievement in Pre-Calculus AND teacher recommendation **

Calculus
is offered to college-bound students who displayed mathematical
capability and success in Geometry and Pre-Calculus. Topics to be
covered include slope of a curve, continuity and limits, rate of change,
the derivative and its application, and the integral and its
application. Although a variety of criteria will be used to evaluate
achievement, grades earned will primarily be based on tests and quizzes.
The purpose for using this method is to prepare students for the
reality of college level assessment. A graphing calculator (TI-84) is
used regularly in this course.

** **

*Advanced Placement Calculus AB *
Length: Year Credits: 5

Grade Level: 11, 12

**Pre-requisites: Honors Pre-Calculus AND teacher recommendation **

Advanced
Placement Calculus AB is designed for the serious and motivated
mathematics student who has demonstrated consistently outstanding
performances in his/her high school mathematics courses. The student who
enrolls in Advanced Placement Calculus AB will be expected to work at a
college level, with significant study and preparation outside the
classroom. Students are encouraged to take the Advanced Placement
Calculus Exam. Successful performance on this exam may result in
students earning credit, advanced placement, or both when they enter
college. A graphing calculator (TI-84) is recommended for this course.

** **

*Advanced Placement Calculus BC *
Length: Year Credits: 5

Grade Level: 12

**Pre-requisites: ****AP ****Calculus ****AB AND recommended ****score of 3 or better on the AP exam **

In
addition to a review of Calculus AB material, students will study
integration by parts and partial fractions, improper integrals, Euler’s
method, logistic differential equations, L’Hopital’s Rule, polynomial
approximations and series, and the analysis of planar curves given in
polar parametric and vector form. Students are encouraged to take the
Advanced Placement Calculus Exam. Successful performance on this exam
may result in students earning credit, advanced placement, or both when
they enter college. A graphing calculator (TI-84) is recommended for
this course.

** **

*Foundations of College Mathematics *
Length: Year Credits: 5

Grade Level: 12

This
course is designed for senior students planning to attend a local
community college. Students will take the equivalent to the Accuplacer
exam and the results will guide instruction for this program. The
curriculum is directly aligned with Gloucester County College’s
developmental courses, and will prepare students to have success on the
Accuplacer exam in the spring. The topics of study include: basic
operations with fractions, ratios and proportions, equations,
inequalities, and polynomials. Students who pass the equivalent
placement exams will progress beyond the community colleges
developmental courses, avoiding the additional cost associated with
non-credit developmental college courses.

** **

Length: Year Credits: 5

Grade Level: 11, 12

**Prerequisite: Advanced Algebra II OR teacher recommendation **

Look
at the world through a statistician’s eyes, and you’ll be amazed at
what you see. Statistics is an upper level, elective mathematics class.
This course was designed for juniors and seniors, to provide a detailed
introduction of college-level statistics, with an emphasis on conceptual
understanding of material. Students will work with probability, data
collection, descriptive statistics, probability, and technological tools
to analyze statistics. The main foci of the course will be exploring
univariate and bivariate data, planning a study, producing models using
probability theory, and making statistical summaries and conclusions.
Students will work with typical values and spread to describe a data
set, methods of data collection, methods of determining probability, and
various probability distributions. Students will use multiple
representations to present data including written descriptions,
numerical statistics, formulas, and graphs. The course concludes with a
large-scale probability project.

** **

*Advanced Placement Statistics *
Length: Year Credits: 5

Grade Level: 11, 12

**Pre-requisites: Honors Pre-Calculus, OR prior academic achievement in Pre-Calculus AND teacher recommendation **

This
rigorous college-level course provides an in-depth study of statistics
for highly motivated students. Students are introduced to the major
concepts and tools used for collecting, analyzing, and drawing
conclusions from data. This course is recommended for students with an
interest in pursuing a career that utilizes the analysis of data.
Students are encouraged to take the Advanced Placement Exam in May,
giving them the opportunity to earn college credit. A graphing
calculator (TI-84) is used regularly in this course.

** **

Length: Year Credits: 5

Grade Levels: 9, 10, 11, 12

**This course ***DOES NOT **count towards students’ three-year mathematics graduation requirement.

The
Math Lab provides students with additional academic support in
Mathematics. Students are placed into a Math Lab course based on their
developmental needs as indicated by their academic achievement and
performance on state and standardized tests, as well as by teacher
recommendations. Students are assigned to a Lab class that is
coordinated with the math course they are currently taking---Algebra I,
Geometry or Algebra II. The concepts are learned and/or reinforced
through in-class and computer-based activities.