MATH
Foundations Algebra I
Grade: 9
Credit: 5
Prerequisite: Teacher or Child Study Team recommendation
In this Foundations of Algebra I course, students will be exposed to the same topics as Algebra I but with less attention to theory and more attention to concepts. These topics include: variables, solving equations using addition, subtraction, multiplication and division, linear functions, slopes, exponents, quadratic equations, linear systems and factoring. The course is designed to have projects that pertain to algebraic concepts with real-life applications in a career focused setting. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
College Prep Algebra I
Grade: 9
Credit: 5
Prerequisite: None
In this course, students will learn foundational Algebra topics and properties including including variables, solving equations using addition, subtraction, multiplication and division, linear functions, slopes, exponents, quadratic equations, linear systems, radical equations, rational equations, and factoring,in a career focus setting. Application of these topics will lead to a better understanding of various functions including their properties and behaviors. These functions are not limited to linear functions, exponential functions, quadratic functions, piecewise functions, as well as radical and absolute value functions. The course is designed to have problem based learning activities that pertain to algebraic concepts with real-life applications in a career focused setting. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
Honors Algebra I
Grade: 9
Credit: 5
Prerequisite: Students scoring either in Level IV or V of the NJSLA assessment
In the Honors Algebra I course, students will expand beyond traditional Algebra topics including variables, solving equations using addition, subtraction, multiplication and division, linear functions, slopes, exponents, quadratic equations, linear systems, radical equations, rational equations, and factoring, in a career focus setting. Application of these topics will lead to a better understanding of various functions including their properties and behaviors. These functions are not limited to linear functions, exponential functions, quadratic functions, piecewise functions, as well as radical and absolute value functions. The course is designed to give the advanced student the opportunity to study the topics of Algebra I in greater depth, independently and at a faster rate. This course is designed to use methods of reasoning to solve problems and have problem based learning activities that pertain to algebraic concepts with real-life applications. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
GEOMETRY COURSE OFFERINGS
Foundations Geometry
Grade: 10
Credit: 5
Prerequisite: Foundations of Algebra I and teacher or Child Study Team recommendation
In this Foundations of Geometry course, students will be exposed to the same topics as Geometry but with less attention to theory and more attention to concepts. Students will apply geometric properties to algebra problems and real-life word problems. Students will learn about polygons, angles, transformations, area, perimeter, surface area, volume, triangles, and circles. The course is designed to have projects that apply the geometric concepts learned. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
College Prep Geometry
Grades: 9 or 10
Credit: 5
Prerequisite: Algebra I, teacher recommendation
In the College Prep Geometry course, students will be introduced to the use of Geometry as a problem solving and quantitative tool. Students will apply geometric properties to algebra problems and real life word problems. Students will learn about polygons, angles, transformations, area, perimeter, surface area, volume, triangles, similarity, and circles. The course is designed to have problem based learning activities to apply geometric concepts. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
Honors Geometry
Grades: 9 or 10
Credit: 5
Prerequisite: Honors Algebra I (requires B average and teacher recommendation). For grade 9 students, students must have taken Algebra I with a passing score and scored at least 750 on the Algebra I NJSLA assessment.
In the Honors Geometry course, students will expand beyond polygons, angles, transformations, area, perimeter, surface area, volume, triangles, similarity, and circles. The course is designed to give the advanced student the opportunity to study the topics of geometry at more depth and at a faster rate. This course is designed to use methods of reasoning to solve problems and have problem based learning activities that pertain to algebraic concepts with real-life applications. Students will be able to apply their algebra skills to the geometric properties. The course will prepare the students for the standardized math tests such as the SAT & NJSLA-Math.
ALGEBRA II COURSE OFFERINGS
Foundations Algebra II
Grade: 11
Credit: 5
Prerequisite: Foundations of Geometry and teacher or Child Study Team recommendation
In this Foundations of Algebra II course, students will be exposed to the same topics College Prep Algebra II but with less attention to theory and more attention to concepts. Students will continue to develop important mathematical ideas introduced in Algebra I and Geometry. In this course, students will explore topics in greater detail, while exploring and studying newer topics. Emphasis will be placed on functions, solving equations, quadratic functions, polynomial expressions, exponential functions as well as exposure to word problems and project based math assessments. In addition, SAT and NJSLA-Math problems will be integrated into the curriculum.
College Prep Algebra II
Grades: 10 or 11
Credit: 5
Prerequisite: Geometry, teacher recommendation
The College Prep Algebra II course builds on the concepts and skills of Algebra and Geometry while preparing students for college and 21st century careers. The course continues to explore concepts such as linear functions, quadratics, polynomials, modeling with geometry, and more. This course is designed to use methods of reasoning to solve problems, and to implement problem-based learning activities that pertain to algebraic concepts with real-life applications. In addition, SAT and NJGPA-Math problems will be integrated into the curriculum.
College Prep Algebra II/Trigonometry
Grades: 10 or 11
Credit: 5
Prerequisite: Geometry, teacher recommendation
The College Prep Algebra II / Trigonometry course is a continuation of the skills mastered in Algebra I and builds a foundation of mathematics for those students going onto Pre-Calculus. This course develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, as well as trigonometric functions. The course is designed to use methods of reasoning to solve problems, and to implement problem-based learning activities that pertain to algebraic concepts with real-life applications. In addition, SAT and NJGPA-Math problems will be integrated into the curriculum.
Honors Algebra II/Trigonometry
Grades: 10 or 11
Credit: 5
Prerequisite: Algebra I and Geometry. Honors level requires teacher recommendation and a B in Honors Geometry
The Honors Algebra II/Trigonometry course expands beyond traditional Algebra II topics in a career focus setting. The course is designed to give the advanced student the opportunity to study the topics of Algebra II in greater depth, independently and at a faster rate. Development of such advanced algebra skills may include systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, trigonometric functions and statistics. This course is designed to use methods of reasoning to solve problems and, to implement problem based learning activities that pertain to algebraic concepts with real-life applications. In addition, SAT and NJGPA-Math problems will be integrated into the curriculum. Students must complete a summer packet prior to September.
CALCULUS COURSE OFFERINGS
College Prep Pre-Calculus
Grades: 11 or 12
Credit: 5
Prerequisite: Geometry and Algebra II, teacher recommendation
Pre-Calculus is a continuation of the more advanced concepts of Algebra and Geometry integrated with the study of analytic and triangle trigonometry; it is a segue to Calculus. The course is designed for students with a strong background in mathematics. Skills in analysis, reasoning and making connections are stressed throughout the course. Various mathematical functions are explored in great detail including polynomial, rational, logarithmic, trigonometric and inverse trigonometric functions. Students can then focus on understanding the relationship and behavior of the function, in preparation for the advanced study of calculus. This course is a traditional fourth course pathway for the New Jersey State Learning Standards, and all standards covered are at a reinforcement level and advanced level, as mastery was expected in the prerequisite courses.
Dual Enrollment/Honors Pre-Calculus (DE)
Grade(s): 11-12
Credit: 5
Prerequisite: Honors and Dual Enrollment level requires at least a B average in Honors Algebra II and teacher recommendation
In the Dual Enrollment Advanced Placement Pre-Calculus course students will expand beyond advanced concepts of Algebra and Geometry integrated with the study of analytic and triangle trigonometry. This course moves with a quick pace while going in depth and focusing on the application of topics. This course will focus intense study of Algebraic functions (polynomial, rational, radical) and transcendental functions (exponential, logarithmic). Students will be required to solve problems graphically, analytically, and numerically.
Advanced Placement Pre-Calculus (AP)
Grades: 11 or 12
Credit: 5
Prerequisite : Advanced Placement and Dual Enrollment level requires at least a B average in Honors Algebra II, completion of summer assignment(s), teacher recommendation, and strong computational thinking skills
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, business, 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 rather than exclusively focusing on preparation for future courses. Students are not required, but strongly encouraged, to take the end of course exam in May. Students enrolled in this course have the option to also be enrolled in a dual enrollment program available through Stockton University and/or at Rowan College at Burlington County.
College Prep Calculus
Grade: 12
Credit: 5
Prerequisite: Pre-Calculus, teacher recommendation
This course presents a comprehensive treatment of derivatives of functions of one variable. Topics include development and application of functions, differentiation, limit concepts, integration and its applications, transcendental functions, and plane analytic Geometry. Techniques of integration are also introduced and the course introduces students to the concepts of single variable Calculus and their applications.
Advanced Placement Calculus AB (AP/ DE)
Grades: 11 or 12
Credit: 5
Prerequisite: 86 or better in Advanced Placement Pre-Calculus, completion of summer assignment(s), teacher recommendation, and strong computational thinking skills
Advanced Placement Calculus AB is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement or both from institutions of higher learning. The course teaches all topics associated with Functions, Graphs and Limits; Derivatives; and Integrals. The course provides students with the opportunity to work with functions represented in a variety of ways (graphically, numerically, analytically, and verbally) and emphasizes the connections among these representations. Students are not required, but strongly encouraged, to take the end of course exam in May. Students enrolled in this course have the option to also be enrolled in a dual enrollment program available through Stockton University and/or at Rowan College at Burlington County.
Advanced Placement Calculus BC (AP)
Grades: 11 or 12
Credit: 5
Prerequisite: 86 or above average in AP Calculus AB, completion of summer assignment(s), teacher recommendation, and strong computational thinking skills.
Advanced Placement Calculus BC is comparable to Calculus courses in colleges and universities. It is expected that students who take an AP course in Calculus will seek college credit, college placement or both from institutions of higher learning. The topic outline for Calculus BC includes all Calculus AB topics as well as additional topics. Those additional topics include topics such as Newton’s method, Simpson’s rule, integration by trigonometric substitution, topic of sequences and series and volume of cylindrical shells. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students are not required, but strongly encouraged, to take the end of course exam in May. Students enrolled in this course have the option to also be enrolled in a dual enrollment program available through Rowan College at Burlington County.
ELECTIVE COURSE OFFERINGS
College Prep Statistics
Grades: 11 or 12
Credit: 5
Prerequisite: Algebra II & English II, signed teacher recommendation
This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Data is everywhere in the real world. It is important that students are able to think critically, become informed consumers, and draw correct conclusions from the data they see. Four broad conceptual themes outline this course which include Exploring Data, Probability, Sampling and Experimentation, and Statistical Inference. Within these four units, students will describe patterns, conduct a proper study, explore probability and simulation as well as estimate population parameters and test hypotheses within a study. Statistics is a course that is mandatory for most college majors and being exposed to statistics in high school will benefit college-bound students.
Advanced Placement Statistics (AP)
Grades: 11 or 12
Prerequisite: B above in Honors Algebra II, a B or above in English II or III, signed recommendation from Math & English teachers, completion of summer assignment, strong background in Critical Reading & Writing
AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is expected that students who take this course will seek college credit, college placement, or both from institutions of higher learning. There are four themes evident in the content, skills, and assessment in the AP Statistics course: Exploring Data, Sampling and Experimentation, Probability and Simulation, and Statistical Inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. Students are not required, but strongly encouraged, to take the end of course exam in May. Students enrolled in this course have the option to also be enrolled in a dual enrollment program available through Rowan College at Burlington County.
Puzzle Solving (Elective)
Grades: 11 or 12
Credit: 5
Prerequisite: None
Do you understand the Math behind solving a Rubik’s cube? This course was designed to allow students to take an intuitive approach to solving hands-on abstract problems. Students will analyze 3-dimensional puzzles with intuition, inductive & deductive reasoning, mathematics, and computer science. Students will develop skills that help with pattern recognition, decision making, muscle memory, and abstract thinking with the aid of 3-dimensional puzzles (for example, Rubik’s Cube). Students will participate in hands-on learning daily with a flexible schedule where growth is more important than proficiency.
Dual Enrollment Discrete Mathematics
Grades: 11 or 12
Credit: 5
Prerequisite: Algebra I, Algebra II, & Pre Calculus
The Dual Enrollment Discrete Mathematics course will provide an overview of discrete mathematics including Boolean algebra, mathematical proofs, sets, functions, sequences, matrices, number theory, mathematical induction, introductory combinatorics, and discrete probability. It is an advanced course that reflects the New Jersey Student Learning Standards and expands on topics explored in Algebra.
Students enrolled in this course have the option to also be enrolled in a dual enrollment program available through Stockton University