Mathematics
The Mathematics program in grades 9 through 12 is designed to provide a strong foundation in mathematics for all students. Students are given the opportunity to develop skills required in college mathematics, and those with advanced mathematical ability and foundations, may take an accelerated program leading to advanced placement courses.
Courses provide opportunities for success that encourage all students to develop a positive attitude about mathematics by engaging them in exploring and solving interesting mathematical problems, using mathematics in meaningful ways, by focusing on concepts and understanding, as well as on procedures, and by consistently expecting students to go beyond repetition and memorization of content standards to problem solving and understanding.
College Preparatory Algebra I
Credits: 5
Course Length: Full Year
Grade Level: 9
College Preparatory Algebra I focuses on development of sufficient computational, procedural, and problem solving skills needed to provide a solid foundation for further study of mathematics. The course uses an inductive approach to study equations, the rectangular coordinate system and elementary functions. This course is fully aligned to the New Jersey Student Learning Standards.
Pre AP Algebra I
Credits: 5
Course Length: Full Year
Grade Level: 9
In Pre-AP Algebra 1, students develop a deep understanding of linear relationships emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide powerful conceptual tools that students can use to make sense of their world through mathematics.
College Preparatory Geometry
Credits: 5
Course Length: Full Year
Grade Level: 10
Prerequisite: College Preparatory Algebra I or Pre AP Algebra I
College Preparatory Geometry focuses on the key topics that provide a strong foundation in geometry. Properties and relationships of geometric figures are studied through inductive reasoning. Geometric concepts are applied to real world applications. While proof is not emphasized, students are introduced to both inductive and deductive reasoning to demonstrate theorems. This course is fully aligned to the New Jersey Student Learning Standards.
Pre-AP Geometry with Statistics
Credits: 5
Course Length: Full Year
Grade Level: 9 - 10
Prerequisite: Pre AP Algebra I
Pre-AP Geometry with Statistics provides students with a conceptual bridge between algebra and geometry that deepens their understanding of mathematics. The course includes a unit of statistics and probability to support students’ understanding of concepts essential to quantitative literacy. Throughout the course, students solve problems across the domains of algebra, geometry, and statistics.
College Preparatory Algebra II
Credits: 5
Course Length: Full Year
Grade Level: 10 - 11
Prerequisite: Algebra I and Geometry
Algebra II is an extension of the work done in both College Preparatory Algebra I and College Preparatory Geometry. Equation solving techniques and graphing techniques are studied in greater depth and applied to real world situations. Greater emphasis is placed on how to use acquired algebraic and geometric skills in problem solving. Also included is a review of the content of the state mandated PARCC. This course is fully aligned to the New Jersey Student Learning Standards.
Pre AP Algebra II
Credits: 5
Course Length: Full Year
Grade Level: 10 - 11
Prerequisite: Pre AP Algebra I , Pre AP Geometry, Algebra I, Geometry
In Pre-AP Algebra 2, students solidify and extend the understanding of functions and data analysis developed in prior courses. Students build upon linear, quadratic, and exponential functions as they work to define logarithmic, polynomial, rational, square root, cube root, and trigonometric functions. Quantitative literacy is developed by weaving data sets, contextual scenarios, and mathematical modeling throughout the course.
College Preparatory Pre-Calculus
Credits: 5
Course Length: Full Year
Grade Level: 11 - 12
Prerequisite: College Preparatory Algebra II
Pre-Calculus begins with the enhancement and further development of several topics introduced in intermediate algebra and trigonometry. Topics include trigonometry, and exponential, logarithmic, and polynomial functions. Students explore more advanced topics of conic sections, sequences, series, and limits. This course provides foundation work for Calculus. Honors Pre-Calculus Credits: 5 Course Length: Full Year Grade Level: 10 - 11 Prerequisite: Honors Algebra II Pre-Calculus Honors is a comprehensive college prep course constructed to extend the student’s knowledge and understanding of algebra and applications of trigonometric functions to real life problems. Students will apply their critical thinking skills in conjunction with their math skills throughout the course. This course focuses on (1) furthering the understanding of algebraic function with real-life applications; (2) studying the properties and applications of exponential and logarithmic functions; (3) developing understanding of conic sections (4) The study of relationships within triangles; (5) trigonometric functions. The graphing calculator is frequently used as part of instruction. The course will cover a strong foundation of Precalculus concepts and will prepare the students for a course in calculus.
College Preparatory Calculus
Credits: 5
Course Length: Full Year
Grade Level: 10 - 11
Prerequisite: College Preparatory Pre-Calculus
Students will study the concepts of limit and continuity. The basic concepts of the derivative with applications to velocity, acceleration, curve sketching, related rates, and max-min problems will be given. Topics will be developed from a heuristic or non-theoretical approach. The definite and indefinite integral will be introduced. Techniques of differentiation and integration of the logarithmic function, natural logarithmic function, exponential function, and inverse trigonometric functions will be studied. Integration will be applied to find area and volume.
College Preparatory College Algebra and Trigonometry
Credits: 5
Course Length: Full Year
Grade Level: 11-12
Prerequisite: Algebra II
This course reflects the New Jersey learning standards at the high school level and is designed to enable students to solve real world problems. Students will explore writing, solving and graphing linear equations, system of linear functions, and inequalities, polynomial functions, rational functions, exponential and logarithmic functions, sequences, series, and probability. The first unit in this curriculum is an extension and review of learning in the Algebra II curriculum. Teachers will formatively assess students throughout the academic year. The graphing calculator will be used as a tool to enhance instruction.
Statistics
Credits: 5
Course Length: Full Year
Grade Level: 11-12
Advanced Placement Precalculus
Credits: 5
Course Length: Full Year
Grade Level: 11-12
AP Precalculus centers on functions modeling dynamic phenomena. This research-based exploration of functions is designed to better prepare students for college-level calculus and provide grounding for other mathematics and science courses. In this course, students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, social science, and data science. Furthermore, as AP Precalculus may be the last mathematics course of a student's secondary education, the course is structured to provide a coherent capstone experience and is not exclusively focused on preparation for future courses. The AP Precalculus course is strongly recommended for students planning to take AP Calculus.
Advanced Placement Calculus AB
Credits: 5
Course Length: Full Year
Grade Level: 11 - 12
Prerequisite: Honors Pre-Calculus
Advanced Placement Calculus AB is roughly equivalent to a college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the fundamental theorem of calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
Advanced Placement Calculus BC
Credits: 5
Course Length: Virtual Course; Full Year
Grade Level: 11-12
AP Calculus BC is roughly equivalent to both first and second semester college calculus courses. It extends the content learned in AB to different types of equations (polar, parametric, vector-valued) and new topics (such as Euler's method, integration by parts, partial fraction decomposition, and improper integrals), and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the fundamental theorem of calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
Advanced Placement Statistics
Credits: 5
Course Length: Full Year
Grade Level: 11 - 12
Prerequisite: Honors Algebra II
Advanced Placement Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.
Advanced Placement Computer Science A
Credits: 5
Course Length: Full Year
Grade Level: 11-12 AP Computer Science A is equivalent to a first-semester, college-level course in computer science. The course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions, and the ethical and social implications of computing. The course emphasizes both object oriented and imperative problem solving and design using Java language. These techniques represent proven approaches for developing solutions that can scale up from small, simple problems to large, complex problems. The AP Computer Science A course curriculum is compatible with many CS1 courses in colleges and universities.
Engineering Graphics and Introduction to CAD
Credits: 5
Course Length: Full Year
Grade Level: 10-12
A first course in Computer Aided Design (CAD), includes lab work using AutoCAD software. Topics include fundamentals of engineering graphics, AutoCAD command structure, setting units and limits, drafting primitives, layering, use of editing tools; grid, snap, and axis commands. Upon successful completion of this course, students should be able to effectively produce two-dimensional drawings using the AutoCAD software program.
Roadmap to Computing
Credits: 5
Course Length: Full Year
Grade Level: 10-12
An introduction to programming and problem solving skills using Python or other very high level language. Topics include basic strategies for problem solving, constructs that control the flow of execution of a program and the use of high level data types such as lists, strings and dictionaries in problem representation. The course also presents an overview of selected topics in computing, such as networking and databases. IT 101.
Introduction to Information Technology
Credits: 5
Course Length: Full Year
Grade Level: 10-12
The foundations of information technology (IT), including basic computer architecture, various kinds of computer hardware, and networking technology, are introduced. Various data representation schemes, such as the binary number systems, are covered. Different levels of software are examined, including aspects of the operating systems from the perspective of the IT professional. The software development process is discussed. Database management software and SQL are dealt with, as are applications and languages developed around the internet and Web infrastructure. Overall, fundamental knowledge required of today’s IT professional is obtained along with an appreciation of IT’s impact on business and society. Hands-on experience with some important elements of the IT field is gained through various laboratory assignments.
Fundamentals of Engineering Design
Credits: 5 Course Length: Full Year
Grade Level: 11-12
Teams of students work on open-ended engineering projects. Sections are offered to represent an introduction to real-world engineering design problems in a specific engineering discipline. Topics covered include introduction to basic engineering design elements, processes, measurements, product and project design and development, with hands-on experiments in a specific major area. Students also learn to use engineering tools for computeraided design and simulation. Technical writing and oral presentation along with project management skills are emphasized. Students are required to take an FED section corresponding to their declared major. Undecided students will be placed in FED sections which best correspond to their interests according to space availability.
Math Skills
Credits: 5
Course Length: Full Year
Grade Level: 9 - 12
Math Skills is designed to study the practical math skills that are essential for the students to be successful in the community. The flexibility of this curriculum provides the teacher the ability to adapt the curriculum to the level of a particular student or class by emphasizing mastery of basic skills. The curriculum will provide students with an opportunity to acquire independent living skills at a pace appropriate to the students’ abilities and needs. The units can be taught separately or in conjunction with the other units. The students will develop functional skills that will enable them to meet the challenges of daily living with confidence.