Mathematics Department

ALGEBRA I - CP

Prerequisite: None

Credits: 5

Algebra I is a one-year course designed to provide students with the necessary knowledge and skills to be prepared for further studies in mathematics. It is intended to increase mathematical fluency in problem solving, logic, reasoning, and effective communication in the study of patterns, functions, and algebra. This course builds on the concepts in math learned in the middle grades and extends understanding of rational and irrational numbers, data analysis, linear equations, spatial relationships, patterns, and algebraic concepts. Students are introduced to nonlinear functions and their place in higher-level mathematics as well. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course fulfills the algebra credits required for graduation. 

ALGEBRA I - HONORS

Prerequisite: Prerequisite: Completion of Grade 7 Math with no less than an A or Grade 8 Math with no less than a B+; Teacher Recommendation; Passing Score of Meets Expectations (Level 4) Or Exceeds Expectations (Level 5) on the Math NJSLA

Credits: 5

This one-year advanced course is designed to provide students with the necessary knowledge and skills to be prepared for further studies in mathematics. Students in this accelerated course will focus on deeper connections and problem solving. It is intended to increase mathematical fluency in problem solving, logic, reasoning, and effective communication in the study of patterns, functions, and algebra. This course builds on the concepts in math learned in the middle grades and extends understanding of rational and irrational numbers, data analysis, linear equations, spatial relationships, patterns, and algebraic concepts. Students are introduced to nonlinear functions and their place in higher-level mathematics as well. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course fulfills the algebra credits required for graduation. 

ADVANCED ALGEBRA with FINANCIAL APPLICATIONS

Prerequisite: Algebra 1 and Geometry

Credits: 5

Advanced Algebra with Financial Applications is a one-year course designed to provide students with the opportunity to view the word of finance through a mathematical lens.  The course will cover topics from Algebra 2, statistics, probability, geometry, graphing, trigonometry and precalculus as they are used in Discretionary Expenses, Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Household Budgeting.  This course will help to strengthen skill and self-confidence with applications of math connected to real world examples.  This course is an Individualized Education Plan drive course designed to be an alternative third year option. 

GEOMETRY - CP

Prerequisite: Successful completion of Algebra I

Credits: 5

This one-year course provides a study of Euclidean Geometry and the logical development of the inductive and deductive systems of reasoning. Emphasis is on developing visualization abilities, analytical skills, and logical reasoning. Continual development and review of algebraic skills are integral parts of this course. An introduction to trigonometry through right triangle ratios is also explored. Various instructional techniques are utilized through activity-based methods. Students will extend their ability to make mathematical connections through problem solving and the use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software. This course will fulfill one of the mathematics credits required for graduation.

GEOMETRY - HONORS

Prerequisite: Completion of Algebra I with no less than an 83% (Honors) or 93% (CP); or a score of exceeded expectations (score of 5) on the NJSLA 

Credits: 5

This one-year advanced course provides a study of Euclidean Geometry and the logical development of the inductive and deductive systems of reasoning. Emphasis is on developing visualization abilities, analytical skills, and logical reasoning. Continual development and review of algebraic skills are integral parts of this course. An introduction to trigonometry through right triangle ratios is also explored. Various instructional techniques are utilized through activity-based methods. Students will extend their ability to make mathematical connections through problem solving and the use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software. This course meets the graduation requirement for geometry. 

ALGEBRA II - CP

Prerequisite: Successful completion of Algebra I and Geometry

Credits: 5

This one-year course in Algebra II continues and expands on the concepts and procedures learned in Algebra I. Its primary goal is to develop competence in using variables and functions to model numerical patterns and quantitative relations. Emphasis is on the study of polynomial, rational, exponential, and logarithmic functions, systems of equations and inequalities, and series. Connections to other areas of mathematics and applications to other disciplines are integrated into the course, including physics, engineering, and architecture. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course is aligned with the New Jersey State Learning Standards and will fulfill the math credits required for graduation. 

ALGEBRA II - HONORS

Prerequisite: Teacher Recommendation, Completion of Algebra I with no less than a B+ (87%), Score of "met expectations" (Level 4) or "exceeded expectations" (Level 5)” on the Algebra I NJSLA, and completion of Geometry with no less than a B (83%, Honors) or A (93%, CP) 

Credits: 5

This one-year advanced course in Algebra II continues and expands on the concepts and procedures learned in Algebra I. Its primary goal is to develop competence in using variables and functions to model numerical patterns and quantitative relations. Emphasis is on the study of polynomial, rational, exponential, and logarithmic functions, systems of equations and inequalities, and series. Connections to other areas of mathematics and applications to other disciplines are integrated into the course, including physics, engineering, and architecture. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course will fulfill the math credits required for graduation. 

INTRODUCTION TO MATHEMATIC MODELING - CP

Prerequisite: Algebra II with a grade of C or better

NCAA-5.0 Mathematics Credits

This course will improve reasoning and problem-solving skills through hands-on and group activities. Topics covered include social choice, fair division, graph theory, matrices, and probability. Many current applications to real-world scenarios are explored. A review for the Accuplacer test is also incorporated. This class will fulfill the math credits required for graduation once Algebra II is completed. 

PRE-CALCULUS - CP

Prerequisite: Successful completion of Algebra II with a grade of C (73%) or better

Credits: 5

This is a one-year course designed for students to explore advanced mathematical topics of functions and development of the trigonometric functions through the concept of circular functions. Emphasis is on the study of trigonometry with units on graphical characteristics of trigonometric functions, including translations, amplitude, change of period, domain, and range. Sums and differences of functions, inverse trigonometric functions, trigonometric identities, including addition and double-angle and half-angle formulas, use of degree and radian measures, and solutions of trigonometric equations, are also discussed in detail. In addition, matrices and determinants, logarithmic functions, rational functions, translations and rotations of the axes, and curve sketching are all studied as well. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course will fulfill the math credits required for graduation. Pre-Calculus is recommended for all students planning to attend a 2-year or 4-year college. 

PRE-CALCULUS - HONORS

Prerequisite:  Algebra II with no less than a B (Honors) or A (CP); Teacher Recommendation

Credits: 5

This is a one-year advanced course designed for students to explore advanced mathematical topics of functions and the development of trigonometric functions through the concept of circular functions. Emphasis is on the study of trigonometry with units on graphical characteristics of trigonometric functions, including translations, amplitude, change of period, domain, and range. Sums and differences of functions, inverse trigonometric functions, trigonometric identities, including addition and double-angle and half-angle formulas, use of degree and radian measures, and solutions of trigonometric equations, are also discussed in detail. In addition, matrices and determinants, logarithmic functions, rational functions, translations and rotations of the axes, and curve sketching are all studied as well. The use of manipulatives, mathematical tools, and technology, including graphing calculators and computer software, is an integral part of this course. This course will fulfill the math credits required for graduation. 

CALCULUS - HONORS

Prerequisite: Teacher Recommendation and successful completion of Pre-Calculus

Credits: 5

Honors Calculus is a rigorous course with in-depth instruction in the basic concepts of calculus. Calculus can be described as the “mathematics of change”—how fast things change, how to predict change, and how to use information about change to understand different systems themselves. Some of the topics discussed include limits, derivatives, integrals, and differential equations. The use of technology, especially graphing calculators, is an integral part of this course. 

CALCULUS - AP (AB COURSE)

Prerequisite: Teacher Recommendation, and successful completion of Pre-Calculus with no less than a B+ (87%; in Honors) or an A (93%; in CP)

Credits: 5

This rigorous and fast-paced course provides knowledge of and experience with the concepts, methods, and applications of Calculus. AP Calculus can be described as the “mathematics of change”—how fast things change, how to predict change, and how to use information about change to understand different systems themselves. Some of the topics discussed include limits, derivatives, integrals, and differential equations. The use of technology, especially graphing calculators, is an integral part of this course. The course is designed for those students planning to take the AP Examination in May. Students must take the AP Calculus exam in May to earn weighted GPA credits. 

STATISTICS - AP

Prerequisite: Teacher Recommendation, and successful completion of Algebra II with no less than a B (83%, Honors) or A (93%, CP) 

Credits: 5

This is a rigorous and fast-paced introductory course in Statistics in which students will learn how to collect, organize, analyze, and interpret data. AP Statistics is designed to cover four major themes: experimental design, exploration of data, producing models using probability and simulation, and statistical inference. It is suggested that students taking this class not only be comfortable with mathematics but with writing as well. The use of technology, especially graphing calculators, is an integral part of this course. The course is designed for those students planning to take the AP Examination in May. Students must take the AP Statistics exam in May to earn weighted GPA credits. 

BUSINESS MATH 

Prerequisite: Algebra II

NCAA-5.0 Career Readiness Credits
This one-year, upper-level course provides a broad-based study within the field of mathematics and is designed so that students can apply math-based concepts to a variety of consumer-driven and 

occupational-specific problems.  Exploration into various career fields will also be addressed -- as students apply math-based concepts to the area of business, finance, entrepreneurship, trading, accounting, taxes, as well as certain vocational fields.  The course will enable students to synthesize the math-based concepts encountered during their traditional courses by utilizing them in “real-world” life / occupational situations.  Through inquiry-based & application-specific learning, students will develop their overall critical thinking and 

reasoning skills, which will serve them well throughout their lives.  The use of the web-based tools, scientific / business calculators, spreadsheet applications, and other computer-based software, form an integral part of the course.  The course is designed for students who desire to take a 4th-year level mathematics course -- but would prefer a course where application of mathematics -- over theory -- is employed.