Mathematics
The Mathematics Program offers a wide variety of courses which allow students to improve skills and achieve to their ability level. It ensures every student covers the New Jersey Student Learning Standards within a four-year College and Career Readiness program. For advanced students, Advanced Placement courses offer an opportunity to pursue college-level work. Computer Science is available at introductory and advanced levels.
It is recommended that each student obtain a TI- 84 Plus Graphing Calculator since they are used on a regular basis and in some courses on a daily basis. For advanced level courses, a graphing calculator is required. Please check the course descriptions for details.
Honors/AP Challenge
Any student in a college prep course may request entry into the Honors Program through the Honors/AP Challenge; however, because it is a very difficult and challenging program, it is strongly recommended that the student achieve a final grade of “A” or better in the non-Honors course and obtain teacher recommendation.
Reminder – All Honors Mathematics courses require completion of a summer assignment with deadlines as indicated on the assignment letter for the specific Honors course.
Students in an honors class who do not achieve a final major assessment average of 80% or better are required to re-apply by participating in the Honors/AP Challenge. Otherwise, you will be scheduled for the next college prep course in your sequence.
Honors Algebra 1 (2664)
Honors Algebra I is a rigorous high school honors course intended for students interested in pursuing advanced levels of mathematics at the high school. This honors course encompasses functions and their graphs, algebraic concepts, solving and graphing linear and quadratic equations, inequalities, systems of equations and inequalities, and factoring quadratics, exponents and exponential equations. Content will be integrated with advanced computer applications and contextual problem solving tasks. A TI-84 plus graphing calculator is highly recommended. Students must complete a summer assignment.
CREDIT: 5
TYPE: Honors
GRADE: 9
PREREQUISITE: NBTHS Math Supervisor's Recommendation
CP ALGEBRA I (2125/2126)
CP Algebra I is a rigorous college-preparatory course encompassing functions and their graphs, algebraic concepts, solving and graphing linear and quadratic equations, inequalities, systems of equations and inequalities, factoring quadratics, exponents and exponential equations. Problem solving, calculator applications and applications of abstract concepts will provide students with a strong base to continue the study of higher level mathematics. A TI-84 plus graphing calculator is highly recommended.
CREDIT: 5
TYPE: College Prep
GRADE: 9
PREREQUISITE: Completion of Concepts of Algebra or Below 65% in CP Algebra 1
ALGEBRA I COMMON CORE SUPPORT (2173) (Not running)
Students in Algebra I Common Core Support will be involved in both group and individual activities that will help them improve their number senses, problem-solving and algebra skills. Emphasis is placed on remediating those skills, as indicated by their results on the most recent District Standardized Math Assessment as well as their grades in their previous mathematics course. Teachers will provide both support and alternative strategies for previously learned mathematical concepts and concepts currently being taught in CP Algebra I.
COURSE NOTE: Required of students who are partially proficient on the most recent District Standardized assessment. This course does not satisfy the High School mathematics core requirement.
CREDIT: 5
TYPE: Foundations and General
GRADE: 9-10
OTHER REQUIREMENTS: Administrator approval only. CO-REQUISITES: If you take this course, you must also take CP Algebra 1(2125/2126)
HONORS GEOMETRY (2135)
Honors Geometry has a threefold approach using deductive reasoning, transformations and coordinate geometry to apply postulates, definitions and theorems. Students will explore the properties of triangles and quadrilaterals. Other units include circles, polygons, area and volume, trigonometry and probability. A TI-84 Plus graphing calculator is highly recommended. Students must complete a summer assignment.
CREDIT: 5
TYPE: Honors
GRADE: 9-10
PREREQUISITE: NBTHS Math Supervisor's Recommendation
CP GEOMETRY (2225/2226)
Geometry is a college-preparatory course covering Euclidean geometry, quadrilaterals, symmetry, transformations, coordinate geometry, trigonometry probability. Principles of logical reasoning, both deductive and inductive, will be stressed. A TI-84 Plus graphing calculator is highly recommended.
CREDIT: 5
TYPE: College Prep
GRADE: 9-10
PREREQUISITE: Completion of CP Algebra I
CP GEOMETRY IN CONSTRUCTION (6501)
Geometry in Construction is an alternative approach to learning Geometry that is available as
an option for students taking Geometry this year at NBTHS. A math teacher and a
construction teacher will partner together to teach the Geometry objectives infused into
Construction and Design. The course is taught in a double period every day, and you will earn
5 credits of Geometry and 5 credits of Construction and Design. The math content you learn
will be the same as in a regular CP Geometry course, but the topic order and focus will be
different. The course will be based on the naturally occurring steps in designing and building
of a home. Students will see the mathematics in context. Upon completion of the course,
students will be able to continue into Algebra 2 as normal since they still learn all of the
rigorous geometry.
CREDIT: 10 (5 Mathematics Credits for Geometry Graduation Requirement and 5 Industrial Arts Elective Credits)
TYPE: College Prep
GRADE: 9-10
PREREQUISITE: Completion of CP Algebra I
HONORS ALGEBRA II (2665)
Honors Algebra II is a continuation of the honors program. The study of functions is extended to include higher degree polynomials, exponential, logarithmic, circular, and quadratic functions. The real number system is expanded to include the complex numbers. Use of a graphing calculator is an important part of this course; therefore, the purchase of TI-84+ or better graphing calculator is necessary for success. Students must complete a summer assignment.
CREDIT: 5
TYPE: Honors
GRADE:10-11
PREREQUISITE: Major Assessment Average of 80% or better in Honors Geometry
CP ALGEBRA II (2325/2326)
CP Algebra II is a second year of algebra that requires a solid foundation in CP Algebra I. Topics covered include: graphs of equations with emphasis on quadratic, absolute value, polynomial, exponential, trigonometric equations; factoring (extended to cubics); functions and composition of functions; and introduction to logarithms. Use of a graphing calculator is an important part of this course; therefore, the purchase of a TI-84 Plus Graphing Calculator is highly recommended.
CREDIT: 5
TYPE: College Prep
GRADE:10-12
PREREQUISITE: Completion of CP Algebra I and CP Geometry
A Survey of Mathematics (2740)
This course is for students interested in learning about the practical applications of mathematics to the liberal arts. Topics include problem solving and data analysis, mathematical modeling, the use of Venn diagrams, graph theory, voting theory, geometric analysis, set theory and inductive reasoning. As this course builds on the concepts of CP Algebra 1 and CP Geometry is can be used to fulfill the third year of High School Mathematics requirements.
CREDIT: 5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: A student enrolled in this course must be in Grade 11 or Grade 12 and have completed both CP Algebra I and CP Geometry
CP TRIGONOMETRY (2313) (Not Running)
CP Trigonometry is a semester course designed for college-preparatory students as an alternative to Precalculus. This course includes a review of CP Algebra II and CP Geometry topics as they relate to Trigonometry. Topics include circular functions and their graphs, trigonometric identities, properties of circular functions, inverse functions and the solution of triangles. A TI-84+ or better graphing calculator is necessary for success.
CREDIT: 2.5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: Final grade of 70% or better in CP Algebra II
CO-REQUISITES: If you take this course, you must also take 2323 - PROBABILITY & STATISTICS
CP PROBABILITY & STATISTICS (2323)(Not Running)
CP Probability and Statistics serves a twofold purpose: 1) to provide an alternative path of study for the average college-bound mathematics student who wishes to refine their mathematical skills as applied to a more practical orientation; 2) to provide the student who has an inclination toward the applied humanities (psychology, sociology, political science, etc.) with a means of relating social inquiry with mathematical precision. Students will be introduced to the statistical applications of the graphing calculator and computer. A TI-84+ or better graphing calculator is necessary for success.
CREDIT: 2.5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: Final grade of 70% or better in CP Algebra II
CO-REQUISITES: If you take this course, you must also take 2313 - CP TRIGONOMETRY
CP ADVANCED ALGEBRA AND FUNCTIONS (2327)
CP Advanced Algebra is intended to deepen students' understanding of algebraic concepts and as preparation for the study of advanced mathematics including Precalculus. Units of study include advanced functions(exponential, logarithmic and rational), sequences and series, matrices, introductory probability and introductory trigonometry. Use of a graphing calculator is important to this course; therefore, the purchase of a TI-84 Plus Graphing Calculator is highly recommended.
CREDIT: 5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: Completion of CP Algebra 2
CP ELEMENTARY STATISTICS (2354)
This course familiarizes students with mathematical models that occur in more advanced courses and in the areas of business, science and the social sciences using exploratory data analysis and statistical methods. Topics include descriptive statistics, linear regression, probability and probability distribution, confidence intervals, and an introduction to hypothesis testing. Use of a graphing calculator is important to this course; therefore, the purchase of a TI-84 Plus Graphing Calculator is highly recommended.
CREDIT: 5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: Major Assessment Average 70% or better in CP Algebra II
CP PRECALCULUS (2405)
CP Precalculus is intended to provide a solid foundation for the study of calculus. The development of the real number system is stressed as well as the analysis of functions, both algebraically and graphically. A complete course in trigonometry is included. Among the other topics studied are: functions and their inverses; complex numbers; limits; continuity; circular functions and their application; conics; exponential and logarithmic functions; and matrices. A TI-84+ or better graphing calculator is necessary for success.
Course Note: A strong foundation in Algebra II is essential. Students should expect more advanced topics, an accelerated pace and a heavier weight on assessments.
CREDIT: 5
TYPE: College Prep
GRADE:11-12
PREREQUISITE: Major Assessment Average of 87% or better in CP Algebra II or Major Assessment Average of 80% or better in CP Advanced Algebra
ADVANCED PLACEMENT PRECALCULUS (2345) (Formerly Honors Math Analysis)
In Advanced Placement Precalculus students will continue their study of rational and exponential functions, sequences and series, conic sections, logarithms, circular functions, curve fitting, matrices, parametric equations and polar coordinates. Emphasis is placed on the use of a graphing calculator to develop deep understanding of the relationship between functions and their graphs, interpretation of graphs and applications in “real world” situations. The course syllabus is AP Audit approved meeting all requirements of the College Board. It is expected that each student will take the the Advanced Placement Precalculus Exam. The Advanced Placement Calculus curriculum will be introduced during the fourth quarter. A TI-84+ or better graphing calculator is necessary for success. The student must complete a summer assignment.
CREDIT: 5
TYPE: Honors
GRADE:10-12
PREREQUISITE: Major Assessment Average of 80% or better in Honors Algebra II.
HONORS CALCULUS (2415)
This introduction to the study of calculus emphasizes the concepts of limits, derivatives as slopes, and anti-derivatives. Students should consider electing this course if they have attained a major assessment average of at least a 70% in CP Precalculus. A TI-84+ or better graphing calculator is necessary for success.
CREDIT: 5
TYPE: College Prep
GRADE: 11-12
PREREQUISITE: Major Assessment Average of 70% or better in CP Precalculus
ADVANCED PLACEMENT CALCULUS AB (2425)
Advanced Placement Calculus AB is a study of calculus at the college level. Emphasis will be placed on the core curriculum provided by the College Entrance Examination Board (CEEB). The course syllabus is AP Audit approved meeting all requirements of the College Board. It is expected that each student will take the AB level of the Advanced Placement Calculus Exam. A TI-84+ or better graphing calculator is necessary for success. Students must complete a summer assignment.
CREDIT: 5
TYPE: Advanced Placement
GRADE:11-12
PREREQUISITE: Major Assessment Average of 87% or better in CP Precalculus or Major Assessment Average of 80% or better in Advanced Placement Precalculus
ADVANCED PLACEMENT CALCULUS BC (2505)
Advanced Placement Calculus BC is a study of calculus at the college level. Emphasis will be placed on the core curriculum provided by the College Entrance Examination Board (CEEB). The course syllabus is AP Audit approved meeting all requirements of the College Board. It is expected that each student will take the BC level of the Advanced Placement Calculus Exam. A TI-84+ or better graphing calculator is necessary for success. Students must complete a summer assignment.
CREDIT: 5
TYPE: Advanced Placement
GRADE:11-12
PREREQUISITE: 87% or better in Honors Math Analysis
OTHER REQUIREMENTS: Admin Approval Only
Analytical Geometry and Multivariable Calculus (2730)
Analytical Geometry and Multivariable Calculus is an advanced college level course intended for students who have completed an Advanced Placement course in Calculus. The rigor and pacing will be consistent with an advanced level college Calculus class. Content emphasis will placed on analytical geometry and multivariable calculus. Topics include solid analytic geometry, partial derivatives, multiple integrals and vector analysis.
CREDIT: 5
TYPE: Advanced Placement
GRADE:11-12
PREREQUISITE: Completion of AP Calculus BC or 93% or better in AP Calculus AB
ADVANCED PLACEMENT STATISTICS (2355)
The Advanced Placement Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. The AP Statistics course is an excellent option for any student who has good problem-solving skills as well as solid language arts skills that are needed to interpret and write analyses of statistical word problems. The course syllabus is AP Audit approved meeting all requirements of the College Board. A TI-84+ or better graphing calculator is necessary for success. Students must complete a summer assignment.
CREDIT: 5
TYPE: Advanced Placement
GRADE:11-12
PREREQUISITE: Major Assessment Average of 87% or better in Algebra II or Major Assessment Average of 80% or better in Honors Algebra II or Completion of CP Statistics
Computer Science Essentials - Project Lead the Way (2533)
With an emphasis on computational thinking and collaboration, this year long course provides students with an entry to the study of computer science. Students will use visual, blocked based programs and transition to text-based programming to create apps and develop websites. This course provides a strong foundation for AP Computer Science A and AP Computer Science Principles.
COURSE NOTE: Fulfills computer requirement
CREDIT: 5.0
TYPE: College Prep
GRADE:9-12
PREREQUISITE: CP Algebra I with a Major Assessment Average of 80% or better.
ADVANCED PLACEMENT COMPUTER SCIENCE A(2525) - Project Lead the Way
The major emphasis in AP Computer Science A is on programming methodology, algorithms and data structures, and object-oriented programming. After completion of this course, the qualified student will be able to: design and implement computer-based solutions to problems in application areas, apply knowledge of well-known algorithms and data structures, identify major hardware and software components of the computer system, know the roles they play and their inter-relationships, recognize social and ethical implications of computer use. Due to the nature and increasing complexity of the course work, candidates for this program must have successfully completed Algebra II. The course syllabus is AP Audit approved meeting all requirements of the College Board. A summer assignment is given.
COURSE NOTE: Fulfills computer requirement.
CREDIT: 5
TYPE: Advanced Placement
GRADE:10-12
PREREQUISITE: Completion Computer Science Essentials AND CP Algebra 2 or Honors Algebra 2
Data Structures
This course teaches different techniques of storing, accessing and processing data as utilized in the development of programs and algorithms. Topics include linked lists, stacks, queues, trees, recursion and graphs. Algorithms for applications such as sorting, searching and merging will be analyzed and implemented. Solutions are designed using object-oriented techniques and implemented in the Java programming language.
CREDIT: 5
TYPE: Advanced Placement
GRADE:11-12
PREREQUISITE: Completion Advanced Placement Computer Science A
Cybersecurity - Project Lead the Way
Cybersecurity introduces the tools and concepts of cybersecurity and encourages students to create solutions that allow to people to share computer resources while protecting privacy. This course raises students' knowledge of and commitment to ethical computing behavior.
COURSE NOTE: Supervisor approval required – must have completed Computer Science Essentials and Algebra II. Fulfills computer requirement.
CREDIT: 5
TYPE: College Prep
GRADE:10-12
PREREQUISITE: Completion of Computer Science Essentials AND Honors Algebra II or CP Algebra II
MATH LAB IV - FALL (2195)/Spring (2196)
Math Lab IV is a senior course strictly for those students who have not fulfilled their High School Graduation Assessment requirement as mandated by the NJDOE. Students will review specific content, take practice examinations, and identify their strengths and weaknesses based on individual test results. Students will also be exposed to test taking strategies, general study skills and a review of basic skills. As needed, students will also remain in this course to complete the portfolio appeal process. This is an alternative assessment which will enable the student to receive a diploma. A scientific calculator is required. A TI-84+ or better graphing calculator is necessary for success.
COURSE NOTE: This course does not satisfy the High School mathematics core requirement. This course is mandatory for students who have not passed a graduation assessment as mandated by the NJDOE and plan to graduate by the end of the current academic year.
CREDIT: 2.5
TYPE: Foundations and General
GRADE: 12
OTHER REQUIREMENTS: Admin Approval Only
Math for ELL - Fall (2127)/ Spring (2128)
Mathematics for ELL provides individualized instruction. Students will be pre-tested within the classroom for concepts in need of instruction and/or remediation. Instruction will focus on those concepts but will not be limited to those concepts, especially where mathematical concepts promote language skills in mathematics. To help students connect content to language, instruction will incorporate concrete representations, modeling, writing and discussions of real life uses of mathematics.
COURSE NOTE: This course does not satisfy the High School mathematics core requirement. If may be taken as a stand alone elective or in conjunction with a college prep mathematics course.
CREDIT: 2.5
TYPE: Foundations and General
GRADE: 9 - 10
OTHER REQUIREMENTS: Admin Approval Only
