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Courses
Introduction to Algebra
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.
 
Algebra I
Length: Year Credits: 5
Grade level: 10
Pre-requisite: Introduction to Algebra OR its equivalent
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.
 
Advanced Algebra I
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.
 
Honors Algebra I
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.
 
Geometry
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.
 
Advanced Geometry
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.
 
Honors Geometry
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.
 
Advanced Algebra II
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.
 
Honors Algebra II
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.
 
Pre-Calculus
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.
 
Honors Pre-Calculus
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.
 
Honors Calculus
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.
 
Statistics
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.
 
Math Lab
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.