 East Brunswick Public Schools
 Section III: Course Catalog
 Mathematics
 Mathematics Courses
Course Guide
 Course Guide Introduction 20212022
 Section I: Churchill Junior High School

Section II: Program of Studies for Grades 912
 Four Year Academic Planner
 Graduation Requirements
 Attendance Requirements
 Grading
 Course Levels
 Course Selection Procedures and Guidelines
 East Brunswick High School Electives
 State Assessment of Proficiency Graduation Requirements
 High School Preparation for College
 College Planning and Selection
 College Readiness Assessments
 NCAA (National Collegiate Athletic Association)
 Important Dates
 Section III: Course Catalog
 Alternative Programs

Mathematics Courses
East Brunswick Public Schools Course Catalog  20212022Key: ◘ DualCredit Option [D] ◘ Meets NCAA Course Requirements [N]
Churchill Junior High School Courses
In grade 8, students who were placed in Algebra I in grade 7 will move into Geometry with Trigonometry H. Students who were enrolled in Prealgebra in grade 7 will take either Algebra I or Algebra I H. Math Placement into grade 8 will be done based on data from HMS.
In general, a grade of at least C is required to stay on a given track, while a grade of at least A is required to move into a new track sequence. Students are expected to purchase a TI84 graphing calculator at the beginning of Algebra I as preparation for state standardized tests as well as for future math courses at both Churchill Junior High School and East Brunswick High School.
High School Preparatory Courses
◘ 2166  Pre Algebra ◘
Credits: 5  Placement by Mathematics Department
The mission of the Pre Algebra curriculum is for students to communicate, make connections, reason and represent the world quantitatively in order to pose and solve problems. At grade seven, students will begin a more formal study of the skills necessary for success in Algebra and higher level mathematics courses. Students will develop an understanding of and apply proportional relationships. Also, they will further their understanding of operations with rational numbers and work with expressions and linear equations. Students will solve problems involving scale drawings and informal geometric constructions of two dimensional and three dimensional figures. Students will build upon their understanding of statistics to draw inferences about populations based on samples.◘ 2172  Geometry with Trigonometry (1159 at EBHS) ◘
Credits: 5  Prerequisite: Algebra I or Algebra I Honors
This course develops an understanding of geometry using basic properties, postulates and theorems in the study of triangles, quadrilaterals, and congruence. Other topics include similarity, circles, area, volume, coordinate geometry, transformational geometry, and an introduction to the trigonometric functions and their applications in the right triangle. Students enrolled in this course must take the Geometry NJSLA Assessment. This course is also offered at East Brunswick High School. [N]◘ 2176  Algebra I (1155 at EBHS) ◘
Credits: 5  Grade 8: Math Placement into grade 8 will be done based on data from HMS; Grade 9: Placement by Mathematics Department Chairperson
This is a first course in elementary algebra, which uses inductive approaches to develop the basic algebraic operations. Topics studied include integers and operations, solving linear equations and inequalities, polynomials, graphing linear and nonlinear functions, factoring, fractional equations, irrational numbers, data analysis and verbal/word problems. Problem solving will also be a major component of this course as will the infusion of graphing calculator lessons and activities. Students enrolled in this course must take the Algebra I NJSLA Assessment. Showing proficiency on the Algebra I NJSLA Assessment is currently a state graduation requirement. [N]
Accelerated Level Courses
◘ 2180  Algebra II ACC (1160 at EBHS) ◘
Credits: 5  Grade 9: For students that score below a C  in Geometry w/Trigonometry H in grade 8
This course is a continuation and extension of the concepts studies in Algebra I and Geometry with Trigonometry. Topics include; extending linear and quadratic functions, polynomial functions, analysis of nonlinear functions, statistics and sequences and series. In addition, this course will include advanced factoring applications, operations with rational expressions, and conic sections. Students enrolled in this course will be expected to purchase either a TI83+ or TI84 graphing calculator. These learning tools will be used throughout the course as a means of problem solving and investigation. Students enrolled in this course must take the Algebra II NJSLA Assessment. [N]Honors Level Courses
◘ 2170  Algebra I H ◘
Credits: 5  Math Placement into grade 8 will be done based on data from HMS.
This course, intended for the academically talented student in mathematics, uses inductive approaches to develop the basic algebraic operations. In addition to the topics covered in Algebra I, students will be expected to demonstrate independent thinking as they explore and solve in depth problems related to the applications of the covered topics. Problem solving will also be a major component of this course as will the infusion of graphing calculator lessons and activities. Students enrolled in this course must take the Algebra I NJSLA Assessment. Showing proficiency on the Algebra I NJSLA Assessment is currently a state graduation requirement. This course is only offered at Churchill Junior HS. [N]◘ 2171  Algebra II H (1162 at EBHS) ◘
Credits: 5 Prerequisite: a minimum course grade of A in BOTH Algebra I AND Geometry W/Trigonometry OR a minimum course grade of C in Geometry W/Trigonometry H
This course is intended for the academically talented student in mathematics. In addition to the topics covered in Algebra II, students will be expected to demonstrate independent thinking as they explore and solve in depth problems related to the applications of the covered topics. Students enrolled in this course will be expected to purchase either a TI83+ or TI84 graphing calculator. These learning tools will be used throughout the course as a means of problem solving and investigation. Students enrolled in this course must take the Algebra II NJSLA Assessment. This course is also offered at EBHS. [N]◘ 2173  Geometry with Trigonometry H ◘
Credits: 5  Grade 8 & Grade 9: A final grade of C or better in Algebra I H
This course, designed for the mathematically talented student, develops an understanding of more advanced geometric concepts, theorems and topics. In addition to the topics covered in Geometry with Trigonometry, students will be expected to demonstrate independent thinking as they explore and solve in depth problems related to the applications of the covered topics. Students enrolled in this course must take the Geometry NJSLA Assessment. This course is only offered at Churchill Junior HS. [N]
East Brunswick High School Courses
College Preparatory Courses
◘ 1155  Algebra I (2176 at CJHS) ◘
Credits: 5  Placement by Mathematics Department Chairperson
This is a first course in elementary algebra, which uses inductive approaches to develop the basic algebraic operations. Topics studied include integers and operations, solving linear equations and inequalities, polynomials, graphing linear and nonlinear functions, factoring, fractional equations, irrational numbers, data analysis and verbal/word problems. Problem solving will also be a major component of this course as will the infusion of graphing calculator lessons and activities. Students enrolled in this course must take the Algebra I NJSLA Assessment. Showing proficiency on the Algebra I NJSLA Assessment is currently a state graduation requirement. [N]◘ 1159  Geometry with Trigonometry (2172 at CJHS) ◘
Credits: 5  Prerequisite: Algebra I
This course develops an understanding of geometry using basic properties, postulates and theorems in the study of triangles, quadrilaterals, and congruence. Other topics include similarity, circles, area, volume, coordinate geometry, transformational geometry, and an introduction to the trigonometric functions and their applications in the right triangle. Students enrolled in this course must take the Geometry NJSLA Assessment. This course is also offered at CJHS. [N]◘ 1160  Algebra II ACC (2180 at CJHS) ◘
Credits: 5  Prerequisite: a minimum course grade of C in BOTH Algebra I AND Geometry W/Trigonometry
This course is a continuation and extension of the concepts studies in Algebra I and Geometry with Trigonometry. Topics include; extending linear and quadratic functions, polynomial functions, analysis of nonlinear functions, statistics and sequences and series. In addition, this course will include advanced factoring applications, operations with rational expressions, and conic sections. Students enrolled in this course will be expected to purchase either a TI83+ or TI84 graphing calculator. These learning tools will be used throughout the course as a means of problem solving and investigation. Students enrolled in this course must take the Algebra II NJSLA Assessment. [N]◘ 1162  Algebra II H (2171 at CJHS) ◘
Credits: 5  Prerequisite: a minimum course grade of A in BOTH Algebra I AND Geometry W/Trigonometry OR a minimum course grade of C in Geometry W/Trigonometry H
This course is intended for the academically talented student in mathematics. In addition to the topics covered in Algebra II, students will be expected to demonstrate independent thinking as they explore and solve in depth problems related to the applications of the covered topics. Students enrolled in this course will be expected to purchase either a TI83+ or TI84 graphing calculator. These learning tools will be used throughout the course as a means of problem solving and investigation. Students enrolled in this course must take the Algebra II NJSLA Assessment. This course is also offered at CJHS. [N]◘ 1167  Algebra II ◘
Credits: 5  Prerequisite:For students that score below a C  in Geometry w/Trigonometry OR Algebra I
This course is a continuation and extension of the concepts studies in Algebra I and Geometry with Trigonometry. Topics include; extending linear and quadratic functions, polynomial functions, analysis of nonlinear functions, statistics and sequences and series. Students enrolled in this course will be expected to purchase either a TI83+ or TI84 graphing calculator. These learning tools will be used throughout the course as a means of problem solving and investigation. Students enrolled in this course must take the Algebra II NJSLA Assessment. [N]
Advanced Courses
◘ 1158  Advanced Algebra with Trigonometry ◘
Credits: 5  Prerequisite: Algebra II OR a final course grade below C in Algebra II ACC
This course includes a review of essential skills from Algebra, introduces polynomial, rational, exponential and logarithmic functions, and gives the student an indepth study of trigonometric functions and their applications. Problem solving and investigation through the use of the graphing calculator is an integral part of this course. [N]◘ 1161  PreCalculus ◘
Credits: 5  Prerequisite: a minimum course grade of A in Algebra II OR a minimum course grade of C in Algebra II ACC
This course gives the student the necessary background for the study of calculus by providing an extensive study of functions and their graphs. Polynomial, rational, exponential and logarithmic functions are addressed along with the trigonometric functions, trigonometric identities, trigonometric equations, and polar coordinates. Problem solving and investigation through the use of the graphing calculator is an integral part of this course. Note: This course is not available to students who have completed Advanced Algebra and Trigonometry. [N]◘ 1163  PreCalculus w/Limits H ◘
Credits: 5  Prerequisite: a minimum course grade of C in Algebra II H OR a minimum course grade of A in Algebra II ACC
This course is intended for the academically talented student and includes the study of polynomial, rational, exponential, logarithmic and trigonometric functions. In addition, topics from calculus (such as limits, continuity, and an introduction to the derivative) will also be introduced in this course as a precursor for Advanced Placement level Calculus. Problem solving and investigation through the use of the graphing calculator is an integral part of this course. [N]◘ 1169  Fundamentals of College Mathematics ◘
Credits: 5  Placement by Mathematics Department Chairperson
This course is designed to provide the student with a strong command of the skills and concepts needed for success in entrylevel college mathematics courses. The course presents the algebra of functions and trigonometry of the right angle. In addition, one of the primary goals of this course is to prepare the students for the expectations of a college placement test such as the Accuplacer. [N]
College Pathways Dual Enrollment Program Courses
◘ 1168  Calculus H ◘◘
Credits: 5  Prerequisite: Student must have met one of the graduation requirements and have successfully completed PreCalculus (1161) with a minimum grade of B
This is a full year study of the Calculus of algebraic, trigonometric, exponential, and logarithmic functions. Topics include limits, differentiation and its applications, integration and the applications of the definite integral. This course also affords students the opportunity to gain experience with college level material and expectations while still enrolled in high school. Please note that while credit is given for this course at the honors level, previous enrollment in honors level math courses is not a prerequisite for this course. [D/N]◘ 1180  Statistics H ◘◘
Credits: 5  Prerequisite: Student must have met one of the graduation requirements and have successfully completed Advanced Algebra and Trigonometry (1158) with a minimum grade of B OR have successfully completed PreCalculus (1161) with a minimum grade of C
This course will familiarize students with mathematical models that occur in more advanced courses and in professions through the use of exploratory data analysis and statistical methods. Topics include descriptive statistics, probability, regression, confidence intervals and an introduction to hypothesis testing. This course also affords students the opportunity to gain experience with college level material and expectations while still enrolled in high school. Please note that while credit is given for this course at the honors level, previous enrollment in honors level math courses is not a prerequisite for this course. [D/N]◘ 1182  Calculus III H ◘◘
Credits: 5  Prerequisite: AP Calculus BC
Honors Calculus III will be offered in partnership with Middlesex County College as part of the College Pathways Dual Enrollment program and its rigor will be consistent with a third semester of college calculus. This course will specifically address advanced topics in calculus. Students will explore the use of multivariable calculus to represent phenomena in threedimensional space and to analyze functions of more than one variable. [D/N]◘ 1183  Calculus II H ◘◘
Credits: 5  Prerequisite: Calculus H (1168) or AP Calculus AB (1164)
Honors Calculus II will be offered in partnership with Middlesex County College as part of the College Pathways Dual Enrollment program and its rigor will be consistent with a second semester of college calculus. Honors Calculus II includes the study of transcendental and hyperbolic functions, applications of integration, more sophisticated techniques of integration, simple differential equations, parametric curves and vectors, indeterminate forms, Taylor’s formula, infinite series as well as topics in analytic geometry. Please note that while credit is given for this course at the honors level, previous enrollment in honors level math courses is not a prerequisite for this course. [D/N]
Advanced Placement Courses
◘ 1164  AP Calculus AB ◘
Credits: 5  Prerequisite: a minimum course grade of C in PreCalculus H OR a minimum course grade of A in PreCalculus
This collegelevel course stresses elementary functions and analytic geometry as well as the concepts and applications of differential and integral calculus via the use of analytic methods and technology. It prepares students for the AB Advanced Placement Examination as well as more advanced mathematical study at the college level. The use of technology is an integral part of this course as are advanced problemsolving strategies and methods. [N]◘ 1165  AP Calculus BC ◘
Credits: 5  Prerequisite: a minimum course grade of B in PreCalculus H
This is a collegelevel course, which is considerably more extensive and rigorous than the Calculus AB course. It prepares the student to take the BC Advanced Placement Examination as well as more advanced mathematical and scientific study at the college level. All the topics of the Calculus AB course are included, along with additional topics such as differential equations and sequences and series. The use of technology is an integral part of this course as are advanced problemsolving strategies and methods. [N]◘ 1166  AP Statistics ◘
Credits: 5  Prerequisite: a minimum course grade of C in PreCalculus H OR a minimum course grade of A in PreCalculusThis course is equivalent to a onesemester, introductory, noncalculusbased college course in statistics. The purpose of the course is to introduce the 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. Exploration and investigation are fostered via the use of technology tools and applications. [N]
Supplementary Math Courses
These courses are taken in addition to the appropriate level math course and are required for those students who do not score at the proficient level on state standardized tests.
◘ 1157  Algebra II LAB (Full Year)
Credits: 5  Placement by Mathematics Department Chairperson
This course is intended for students who require additional support in mathematics and is taken in conjunction with Algebra II. Students whose Algebra I and Geometry NJSLA scores were in the partially proficient ranges and/or who earned a final course grade of C or below in Algebra I and/or Geometry w/Trig are strongly encouraged to participate in this course. In addition to supporting the student’s Algebra II experience, this course will also address problem solving and test taking strategies that are consistent with the expectations of state standardized tests.◘ 1190 – Senior Math Lab (Semester Course)
Credits: 2.5  Placement based on graduation requirementsThis Course is a required course for seniors that have not met graduation requirements through the standardized testing or alternate assessments. In this course the students will work on Portfolio assessments to meet their math graduation requirement in addition to taking Accuplacer and other alternate assessments that might help them meet their graduation requirement.
Mathematics Electives
◘ 1042  SAT Preparation
Credits: 2.5  Hybrid CourseThis semester elective course is designed to help students better prepare for both the verbal and math portions of the SAT exam. Students will utilize a combination of inperson and electronic approaches, to experience the format, requirements, and scoring of the exam. They will also learn various testtaking strategies for success on the SAT. The verbal portion of the course will focus on evidencebased reading and writing tasks, as well as the optional essay component. The math portion of this course is designed to teach students how to approach each type of problem. The semester will be divided in half where students will focus on either verbal or math for the first quarter and then switch to the other content for the second quarter. Ideal candidates for this course are motivated, self directed learners who can independently complete and submit tasks.
◘ 1171 – Sheltered Mathematics
Credits: 5  Placement by Mathematics Department Chairperson
Sheltered Math course reinforces and expand students' foundational math skills, such as arithmetic operations using rational numbers; area, perimeter, and volume of geometric figures, congruence and similarity, angle relationships, the Pythagorean theorem, the rectangular coordinate system, sets and logic, ratio and proportion, estimation, formulas, solving and graphing simple equations and inequalities.