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 Mathematics
Mathematics

Note: All New Jersey public school students must successfully complete a minimum of three years of mathematics as a graduation requirement: Algebra I, Geometry, either Algebra II or Introduction to Algebra II. Additionally, students may be required to pass a state assessment in mathematics as a graduation requirement. The TI Nspire (nonCAS version) calculator is used in all math classes from Algebra II and above.

Possible Math Sequences
The table below reads from left to right

Math Electives:
 Math Support Lab can only be taken concurrently with Algebra I or Geometry.
 Computer Science Discoveries and Computer Science Principles can be taken at any time.
 Computer Programming I Honors can be taken at any time after completion of Algebra I.
 AP Computer Science A can be taken at any time after completion of Computer Programming I.
 Discrete Math can be taken at any time after completion of Geometry.
 SAT Prep can be taken at any time after completion of Geometry.
 Probability & Statistics, Trigonometry & Statistics or AP Statistics can be taken any time after completion of Algebra II.

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.Math Support Lab
Designed to provide additional support for students enrolled in Algebra 1 or Geometry who are identified as in need of support in Algebra 1 or Geometry. Credits for this course do not satisfy math requirements for graduation. This is a pass/fail course. Must be concurrently enrolled in Algebra 1 or Geometry 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 emphasizes 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 PreCalculus ACC. Students will study trigonometric functions and their applications, descriptive and inferential statistics, and basic probability. Prerequisite: Algebra 2.*PreCalculus HON, ACC
Based on the study of functions. It begins with a review of Algebra 2, continues with trigonometric functions and their applications, and 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 PreCalculus 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: PreCalculus. *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, derivatives, 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.*AP Calculus BC HON
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 vectorvalued functions, functions 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. Prerequisite: AP Calculus AB. *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 techniques, sampling, the difference between a study and an experiment, random variables, probability distributions, 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 problemsolving techniques and logic. Prerequisite: Completion of Algebra 1. 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 problemsolving heuristics, algorithm development using topdown design, and good programming style and techniques through an objectoriented 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 problemsolving 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, prealgebra, 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
Computer Science Discoveries
This is "an introductory computer science course that empowers students to create authentic artifacts and engage with computer science as a medium for creativity, communication, problem solving, and fun." It will be a course for all students with no experience in computer programming or computer sciences. This would be the first course for students to take in the line of Computer Science courses to help students prepare for CS Principles. The content includes Problem Solving and Computing, Animations and Games, and The Design Process and focuses on the logical thinking process.Computer Science Principles
This is an "entrylevel course that introduces high school students to the foundations of modern computing. The course covers a broad range of foundational topics such as programming, algorithms, big data, digital privacy and security, and the societal impacts of computing." It will be a course for students with no experience in computer programming or computer sciences. The content includes Introduction to Programming Concepts and Building Apps and focuses on computer languages.Discrete Mathematics ACC
Designed to examine nontraditional 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 problemsolving skills and techniques. Designed for students with interests in mathematics. Prerequisite: Geometry.SAT Preparation
A onesemester 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 testtaking 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 I and Geometry.