MATHEMATICS

Math Sequence Options

Course Title:  Introduction to Algebra

Course Length:  Full Year / Credits:  5

Prerequisite:  Pre-Algebra 8

This course reinforces arithmetic skills, developing the pre-algebra concepts of variable recognition, signed numbers, formulas, and single variable and linear equations. Students will be introduced to algebraic symbolism, simplifying expressions, solution to equations, and the graphic representations associated with variables. 


Course Title:  CP Intermediate Algebra

Course Length:  Full Year / Credit:  5

Prerequisite:  CP Algebra 8 (SMS) with an average below 80%

In this course, topics include: the real number system, operations with polynomials, solving first and second degree equations and inequalities in one and two variables, solving systems of equations and inequalities, factoring and solving quadratic equations, rational expressions, graphing in one and two dimensions, word problems, operations with radicals, laws of exponents, and functions and relations. Problem solving techniques are emphasized throughout the course as well as basic arithmetic skills, abstract reasoning, and working with symbols. Successful completion of this course will satisfy the prerequisite for enrollment in CP Geometry.


Course Title:  Algebra 1

Course Length:  Full Year / Credits 5

Prerequisite:  Completion of Pre-Algebra 8 with an average lower than 80% or Intro to Algebra (SHS)

This course is designed for students who require a slower pace than the traditional CP Algebra 1 course. This course covers the same concepts, but is designed to focus more on computational skills with less-intensive problems and a focus on more practice. The students study expressions and equations involving fractions, decimals, and percents as well as functions, linear equations and inequalities, systems, exponents, radicals and polynomial expressions, and quadratic equations.


Course Title:  CP Algebra 1

Course Length:  Full Year / Credits:  5

Prerequisite:  Completion of Pre-Algebra 8 with an average between 80% to 95%

This course includes the study of various number systems, variables, functions, polynomials, radicals, linear and quadratic equations and inequalities. This course requires a TI-84 Plus graphing calculator.


Course Title:  Honors Algebra 1

Course Length:  Full Year / Credits:  5

Prerequisite:  Completion of Pre-Algebra 8 with an average of 95% or higher and/or teacher recommendation

In this course, students will extend their knowledge of equations and functions to manipulate equations using properties of operations and model and solve real-world problems. Students will build on their understanding of linear functions and systems of equations by developing an understanding of quadratic and exponential equations. Students will extend this thinking to include systems of equations and inequalities.


Course Title:  Geometry

Course Length:  Full Year / Credits:  5

Prerequisite:  Algebra 1

This course focuses on the essential geometric concepts. The topics include points, lines, planes, congruent triangles, quadrilaterals, similar polygons, the right triangle, measurement, area, volume and circles, constructions, and transformations.


Course Title:  CP Geometry

Course Length:  Full Year / Credits 5

Prerequisite:  CP Algebra 1 or CP Algebra 8 (SMS) with an average of between 80% - 95%

This course is primarily offered to students who have met with success in CP Algebra 1. This course is developed as a mathematical system utilizing an axiomatic approach. Deduction and other methods of proof are applied to develop theorems which are used to derive more information regarding points, lines, planes, angles, polygons, and circles. 


Course Title:  Honors Geometry

Course Length:  Full Year / Credits:  5

Prerequisites:  93% in Honors Algebra 8 (SMS) or 96% in CP Algebra 8 (SMS) and teacher recommendation

Although covering the same content as CP Geometry, this course takes a more in-depth look at important geometric concepts and relies more on algebraic computations and deductive proof. Assignments are more extensive and algebra intensive and greater responsibility is placed on the student. 


Course Title:  Math Applications

Course Length: Full Year / Credits:  5

Prerequisites: Completion of Geometry and teacher recommendation

Math Applications is a project-based learning course.  Students will build off of their Algebra and Geometry skills and apply them to various constructions. By connecting math to real-world applications, this course will prepare students for authentic real-life situations. Students will learn problem-solving strategies, scaled models, collaboration skills, and job-related deadlines. Students will need to work well with others, work independently, have good attendance, and be able to apply their basic math skills. This is typically an 11th and 12th-grade course.


Course Title:  Algebra 2

Course Length:  Full Year / Credits: 5

Prerequisite:  Geometry

This course focuses on more advanced topics in algebra. The topics include operations on numbers and expressions, equations and inequalities, polynomial and rational functions, exponential functions, and function operations and inverses. This course requires a TI-84 Plus graphing calculator.


Course Title:  CP Algebra 2

Course Length:  Full Year / Credits 5

Prerequisite:  CP Geometry

This course continues the study of radical and quadratic equations as well as the study of linear, quadratic, and polynomial functions. Graphs and applications of these functions are also examined. This course requires a TI-84 Plus graphing calculator.


Course Title:  Honors Algebra 2

Course Length:  Full Year / Credits:  5

Prerequisites:  90 in Honors Geometry (SMS); 73 in Honors Geometry (SHS); or 93 in first 3 marking periods in CP Geometry and 93 in CP Algebra 1 and teacher recommendation

The student extends the skills and concepts started in Algebra 1 but at a higher level of difficulty and with greater emphasis on derivation and proof. Major topics included in the course are the field properties of the real numbers; techniques of solving first and second degree equations and inequalities in one and two variables; techniques of simplifying and operating on polynomial, rational, and irrational expressions; linear and quadratic relations and functions; complex numbers; exponential functions; and logarithms. This enriched course includes graphing equations. This course requires a TI-84 Plus graphing calculator.


Course Title:  SAT Prep Math

Course Length:  Half Year / Credits 2.5

Prerequisite:  Algebra 1

The SAT Prep course is designed to help students prepare for the rigors of taking the SAT tests offered by the College Board. Our primary goal is to identify and implement test-taking strategies using prerequisite knowledge to increase student performance. Students in this course should have passed Geometry or are taking it concurrently. The course will be graded Pass/Fail. 


Course Title:  CP Introduction to Data Science

Course Length:  Full Year / Credit:  5

Prerequisite:  CP Algebra 2


This curriculum will introduce students to working with data.  The course covers concepts such as, what is data, how do you collect data, how do you work with data to ask questions and tell stories using the data.  Students will learn to be data explorers in project-based units, through which they will develop their understanding of collecting, analyzing, visualizing, and interpreting data.  Students will be able to make and evaluate data-based arguments, understand the power of data in society, and more.  This course is intended for college-bound students who want to strengthen their statistical understanding of a Humanities track. 


Course Title:  CP College Mathematics

Course Length:  Full Year / Credit:  5

Prerequisite:  3 years of high school math courses with a strong foundation in Algebra 1

CP College Math will be broken into semesters.  The first semester will focus on financial literacy.  The second semester will consist of probability and statistical topics.  Real-world applications will be applied to units throughout the course.  Students will be required to work with a TI-84 graphing calculator.  Starting in 2022-2023, this course will satisfy the financial literacy graduation requirement prescribed by the State of New Jersey. 


Course Title:  CP Pre-calculus

Course Length:  Full Year / Credits:  5

Prerequisite:  73 or higher in CP Algebra 2

This is a course that will be a more in-depth study of functional analysis and an extension of the investigation of trigonometric concepts. This course focuses on topics in analytical geometry and provides an introduction to limits and other calculus topics.


Course Title:  Honors Pre-calculus

Course Length:  Full Year / Credits:  5 

Prerequisites: 73 in Honors Algebra 2 or 93 in the first 3 marking periods in CP Algebra 2 and teacher recommendation

The Honors Pre-calculus course covers all the fundamental topics that prepare students for Honors or AP Calculus. Emphasis is on problem- solving and the study of relations, functions, equation solving, and graphing. This course focuses on in-depth functional analysis. The functions studied include polynomial, rational, exponential, logarithmic, trigonometric, and inverse functions. 

This course is eligible for Concurrent Enrollment.


Course Title:  CP Calculus

Course Length:  Full Year / Credits: 5

Prerequisite:  73 or higher in CP Pre-calculus or Honors Pre-calculus

This course is designed for students who require a slower pace than the Honors Calculus course. This course covers the same concepts, but is designed to focus on more practice. CP Calculus covers limits, derivatives, and applications of both algebraic and transcendental functions as well as methods and applications of integration. The approach used is that of combining the essentials of the theory with practical applications. This course requires a T1-84 Plus graphing calculator. 


Course Title:  Honors Calculus

Course Length:  Full Year / Credits: 5

Prerequisites:  73 in Honors Pre-calculus or 93 in first 3 marking periods in CP Pre-calculus and teacher recommendation

Honors Calculus covers limits, derivatives, and applications of both algebraic and transcendental functions as well as methods and applications of integration. The approach used is that of combining the essentials of the theory with practical applications. This course requires a T1-84 Plus graphing calculator. 


Course Title:  AP Calculus AB

Course Length:  Full Year / Credits: 5

Prerequisite:  Honors Pre-calculus and teacher recommendation

This course is essentially Calculus Advanced Placement AB as described in the course outline published by the College Entrance Examination Board. It covers limits, derivatives, and applications of both algebraic and transcendental functions as well as methods and applications of integration. The approach used is that of combining the essentials of the theory with practical applications. Students enrolled in AP classes are expected to take the AP exam. This course requires a TI-84 Plus graphing calculator.


Course Title:  AP Calculus BC 

Course Length:  Full Year / Credits: 5

Prerequisites:  Honors Calculus, AP Calculus AB or Honors Pre-calculus and teacher recommendation

As a continuation of Calculus AB, this course covers additional techniques of integration, polar coordinates, series, complex variables, and differential equations. The emphasis is on theory and problem-solving techniques rather than applications. The analytic geometry, functions and limit topics from Calculus Advanced Placement AB are assumed as prerequisites for this course. Students enrolled in AP classes are expected to take the AP exam. This course requires a TI-84 Plus graphing calculator. 


Course Title:  Honors Multivariable Calculus and Advanced Topics

Course Length:  Full Year / Credit: 5

Prerequisite:  AP Calculus BC and teacher recommendation

Honors Multivariable Calculus is a third year of calculus. Its topics include vectors in a plane and space, partial differentiation, multiple integration and vector calculus. Advanced Topics builds on the concepts of multivariable calculus, and challenges students to apply the calculus of higher dimensions and principles of linear algebra to a variety of problems in science and business. Students will use computer software to discover and demonstrate relevant theory and concepts, and will engage in problem-based learning activities. Students will also have the opportunity to do independent research in other areas of advanced mathematical study, such as computer animation, chaos, fractals, electronic privacy, telecommunications, code encryption and cracking, computer simulations, and market analysis.


Course Title:  AP Statistics

Course Length:  Full Year / Credits:  5

Prerequisite:  83 or higher in Honors Algebra 2 or completion of CP Pre-calculus and teacher recommendation 

Statistics is an Advanced Placement course, which is equivalent to a one-semester introductory, non-calculus based college course in statistics. It 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 Inferences. Students enrolled in AP classes are expected to take the AP exam. This course requires a TI-84 Plus graphing calculator.