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 Flowchart  
 
Algebra I                                                        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. HON is offered by invitation only to those students with a special ability in mathematics.

Algebra I Support Lab

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

Algebra II                                                       HON, ACC, CP

Builds on the algebraic foundation of Algebra I. Involves the study of functions and their graphs – including quadratic, polynomial, rational, radical, exponential, logarithmic and trigonometric and probability. HON is offered by invitation only to those students with a special ability in mathematics. CP is available only to seniors. Prerequisite: Algebra I 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. HON is offered by invitation only to those students with a special ability in mathematics. Prerequisite: Algebra I.

Introduction to Algebra II                            CP, PR

This course builds on foundations of Algebra I and Geometry to study systems of linear equations, functions, polynomials, quadratic equations, complex numbers, and discrete mathematics. Prerequisite: Algebra I and Geometry.

Trigonometry & Statistics                            CP

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

*Pre-Calculus                                                HON, ACC

Based on the study of functions. It begins with a review of Algebra II, continues with trigonometric functions and their applications, then concludes with several topics in advanced algebra. HON is offered by invitation only to those students with a special ability in mathematics. Prerequisite: Algebra II. *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

Equivalent to a first semester college calculus course. 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. HON is offered by invitation only to those students with a special ability in mathematics. 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

Offered to those students who display special ability in mathematics. 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. HON is offered by invitation only. Prerequisite: Pre-Calculus. *Offered as RCBC CAP Course. NOTE: A student may select either Calculus AB or BC, but not concurrently.


*AP Calculus BC and Calculus II              HON

Expands the depth of study of some Calculus AB topics, prepares students to take the Advanced Placement Test in Calculus BC, and include additional topics beyond the BC Calculus curriculum. Students could receive college credit or advanced standing depending on their scores 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 II. *Offered as RCBC CAP Course.

*AP Statistics                                               HON

Equivalent to a college statistics course. 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. This course is offered by invitation only. Prerequisite: Algebra II. *Offered as RCBC CAP Course.

Computer Programming I                          ACC
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.

*Computer Programming II (Java)           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 I. Credits for this course do not satisfy math requirements for graduation. *Offered as RCBC CAP Course. Upon Board approval the description of the course will be modified to align with the revised curriculum and current New Jersey Common Core Standards. 

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.

Math I, II                                                        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.

Math III/IV                                                    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

Enriched Topics in 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, such as the history of math, 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                                          ACC

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 I and Geometry. Upon Board approval the description of the course will be modified to align with the revised curriculum and current New Jersey Common Core Standards.
 
Last Modified on January 28, 2016
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