Mathematics

  • This course is currently under revision. Upon Board approval the description of the course will be modified to align with the revised curriculum and current New Jersey Common Core Standards. Note: All New Jersey public school students must successfully complete a minimum of three years of mathematics as a graduation requirement. Algebra I, Geometry and either Algebra II or Introduction to Algebra II are required. Many four-year colleges recommend four years of mathematics for college. Additionally, students may be required to pass a state assessment in mathematics as a graduation requirement. The TiNspire (Non-CAS Version) calculator is used in all math classes. The flowchart below is intended to assist students and parents in planning for a high school mathematics course sequence.
Math Dept. Flow Chart shows the different class offerings and the suggested or in which students take the classes.
Levels of Instruction
  • Algebra 1                                                          HON, ACC, CP, PR
    Lays the groundwork for all mathematics study by establishing the concepts of set theory, axioms, and properties of the real number system. Equations and inequalities are studied with emphasis on transforming verbal statements into mathematical symbols. Polynomials, rational algebraic expressions, graphing, linear/quadratic equations and radicals are also examined. PR level is available through the Child Study Team.

    Algebra 1 Support Lab
    Designed to provide additional support for students enrolled in Algebra 1 who are identified as in need of support in Algebra 1. Credits for this course do not satisfy math requirements for graduation.  This is a pass/fail course.   Must be concurrently enrolled in Algebra 1 to take this course.

    Algebra 2                                                          HON, ACC, CP
    Builds on the algebraic foundation of Algebra 1. Involves the study of functions and their graphs – including quadratic, polynomial, rational, radical, exponential, logarithmic and trigonometric and probability.  Prerequisite:  Algebra 1 and completion of or concurrently taking Geometry.

    Geometry                                                          HON, ACC, CP, PR
    Based on Euclid's elements of deductive reasoning which emphasized the geometry of the plane surface. Area, volume, congruent triangles, polygons, and constructions are studied. Algebraic applications of geometric concepts are frequent. Prerequisite: Algebra 1. PR level is available through the Child Study Team.

    Introduction to Algebra 2                                 CP, PR
    This course builds on foundations of Algebra 1 and Geometry to study systems of linear equations, functions, polynomials, quadratic equations, complex numbers, and discrete mathematics. Prerequisite: Algebra 1 and Geometry. PR level is available through the Child Study Team.

    Trigonometry & Statistics                                CP
    Designed for students who have completed Algebra 2 as a transition to Pre-Calculus ACC. Students will study trigonometric functions and their applications, descriptive and inferential statistics, and basic probability. Prerequisite:  Algebra 2.

    *Pre-Calculus                                                   HON, ACC
    Based on the study of functions. It begins with a review of Algebra 2, continues with trigonometric functions and their applications, then concludes with several topics in advanced algebra. Prerequisite: Algebra 2. *Offered as RCBC CAP Course.       

    *Calculus                                                          ACC
    Designed for students with mathematical aptitude who have an understanding of Pre-Calculus and the desire to study Calculus in college. The year begins with a review of elementary functions followed by a study of limits, differential calculus and beginning integral calculus. Prerequisite: Pre-Calculus. *Offered as RCBC CAP Course.      

    *AP Calculus AB                                               HON
    This course will explore the key concepts, methods and applications of single variable calculus including graph analysis, limits, continuity, derivatuves, antiderivatives, integrals and The Fundamental Theorem of Calculus.  Students taking this course will be able to take the College Board Placement Test in AB Calculus and could receive college credit or advanced standing depending upon their score and the policy of the college. Prerequisite: Pre-Calculus. *Offered as RCBC CAP Course.  NOTE: Seneca students may select either Calculus AB or BC, but not concurrently.

    *AP Calculus BC                                               HON (Seneca only)
    This course will explore the key concepts, methods and applications of single variable calculus including graph analysis, limits, continuity, derivatives, antiderivatives, integrals, The Fundamental Theorem of Calculus, polynomial approximations, series, Taylor Series, parametric equations, polar coordinates and vectors. The course is faster paced and broader in-depth than Calculus AB and covers two full semesters of college calculus. Students taking this course will be able to take the College Board Advanced Placement Test in BC Calculus and could receive college credit or advanced standing depending on their scores and the policy of the college. Prerequisite:  Pre-Calculus. *Offered as RCBC CAP Course. NOTE: A student may select either Calculus AB or BC, but not concurrently.

    *AP Calculus BC                                               HON(Lenape, Shawnee and Cherokee only)
    This course expands on the key concepts, methods and applications of single variable calculus learned in AP Calculus AB.  Additional methods of antidifferentiation are presented as well as polynomial approximations, series, Taylor Series, parametric equations, polar coordinates and vectors.  Additional topics may include vector-valued functions, funchons of several variables and multiple integration. Students taking this course will be able to take the College Board Placement Test in BC Calculus and could receive college credit or advanced standing depending upon their score and the policy of the college. This course is designed for advanced mathematics students who have completed one year of Calculus. *Offered as RCBC CAP Course.

    *Probability and Statistics                                ACC
    Divided into three categories: descriptive statistics, probability, and inferential statistics. The course includes application for college bound students for all academic areas. Prerequisite: Algebra 2. *Offered as RCBC CAP Course.

    *AP Statistics                                                    HON
    The four major themes of this course are exploratory analysis, planning and conducting a study, probability and statistical inference.  Specific topics include analysis of univariate and bivariate data, data collection techniqes, sampling, the difference between a study and an experiment, random variables, probability distructions, the normal distribution, point estimation and tests of significance. Students taking this course will be able to take the College Board Advanced Placement Test in Statistics and could receive college credit or advanced standing depending upon their score and the policy of the college. Prerequisite: Algebra 2. *Offered as RCBC CAP Course.

    Computer Programming 1                                  HON
    Designed to be an introductory programming course. The concepts taught will include input/output operations, arithmetic operations, accumulating and displaying totals, comparing, array processing, searching and sorting, string processing, file processing, and report generation. Emphasis will be on problem-solving techniques and logic. Prerequisite: Completion of or concurrently taking Geometry. Credits for this course do not satisfy math requirements for graduation.

    *AP Computer Science A                                    HON
    Designed as a second year programming course to teach problem-solving heuristics, algorithm development using top-down design, and good programming style and techniques through an object-oriented approach to be extended to future programming languages that may be studied. Students will enhance their knowledge of input/output operations, arithmetic operations, accumulating and displaying totals, comparing, array processing, searching and sorting, string processing, file processing, and report generation. Emphasis on problem-solving techniques and logic. Prerequisite: Computer Programming 1. Credits for this course do not satisfy math   requirements for graduation. *Offered as RCBC CAP Course.

    Consumer Math                                                 CP, PR
    Designed to prepare students to deal with situations in their daily lives that require knowledge of comparing and reconciling savings accounts and checking accounts, renting apartments, purchasing housing, determining real estate taxes, buying cars, investigating insurance options, etc. This course satisfies the personal financial literacy graduation requirement. This course does not satisfy math requirements for graduation. PR level is available through the Child Study Team.

    Mathematics 1, 2                                               PR
    Emphasis is on mastery and application of basic math operations. Additional topics include measurement, number theory, pre-algebra, basic geometry, and problem solving. Available through the Child Study Team.

    Mathematics 3, 4                                               PR
    Emphasis is on consumer math skills and personal financial literacy. Units include budgeting, career preparation and earnings, banking//saving//investing, buying//renting a home, travel, transportation. This course will meet the state’s personal financial literacy requirement. Available through the Child Study Team. 

     

    SEMESTERIZED MATH COURSES

    Discrete Mathematics                                         ACC
    Designed to examine non-traditional topics in mathematics with a focus on problem solving. Enables students to examine unique historical and modern topics including graph theory, logic, election theory, apportionment, game theory, cryptography and set theory. All of these topics will assist students with applying mathematics to real world contexts while enhancing problem-solving skills and techniques.  Designed for students with interests in mathematics.  Prerequisite: Geometry HON or ACC.

    SAT Preparation 
    A one-semester elective which prepares students for the verbal and math sections of the SAT. Nine weeks will be spent on verbal and nine weeks on math. Critical reading, writing, vocabulary and logical reasoning skills needed on the SAT will be addressed. Specific test-taking strategies for the SAT will also be presented. Completing this course is in no way a guarantee of desired results on the SAT. Credits for this course do not satisfy math or English graduation requirements.  This is a pass/fail course.  Open to second semester sophomores, all juniors, and first semester seniors who have completed both Algebra 1 and Geometry.