ALGEBRA 1 | GRADES 9-11 | 5 CREDITS

Algebra 1 is a traditional beginning course of advanced high school mathematics. Concepts included in Algebra 1 are: the study of algebraic functions including linear, quadratic and exponential, solving linear equations and inequalities, absolute value and quadratic equations, number systems, properties of real numbers, systems of equations and inequalities, probability, measures of central tendency and data analysis. Incorporation of graphing calculator technology is utilized as a tool for exploration and to promote student understanding. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education. Students enrolled in this course will be required to take the Algebra 1 EOC assessment.

Pre-requisite: Teacher recommendation based on student learning style.

INTERACTIVE MATHEMATICS PROGRAM 1 | GRADE 9-10 | 5 CREDITS

IMP 1 is the first year of a three-year integrated mathematics program that exposes students to the concepts of Algebra 1, Probability and Statistics, Geometry, Algebra 2, Data Analysis and beginning Trigonometry through a context rich, problem-solving approach. Each year of the program, the curriculum delves into each of these areas more deeply. The IMP 1 curriculum challenges students to actively explore open-ended situations, in a way that closely resembles the inquiry method used by mathematicians and scientists in their work. IMP students are introduced to the study of patterns, linear functions, probability concepts such as expected value, statistical analysis of data and normal distributions, properties of real numbers, polygons and angle relationships, including triangle properties, similarity and solving using trigonometry. Incorporation of graphing calculator technology is emphasized as a tool for exploration and to promote student understanding. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Pre-requisite: Teacher recommendation based on student learning style.

INTERACTIVE MATHEMATICS PROGRAM 2 | GRADE 10-11 | 5 CREDITS

IMP 2 is the second year of a three-year integrated mathematics program that exposes students to the concepts of Algebra 1, Probability and Statistics, Geometry, Algebra 2, Data Analysis and beginning Trigonometry through a context rich, problem-solving approach. Each year of the program, the curriculum delves into each of these areas more deeply. The IMP 2 curriculum challenges students to actively explore open-ended situations, in a way that closely resembles the inquiry method used by mathematicians and scientists in their work. IMP 2 students are introduced to powerful mathematical ideas, including the Pythagorean Theorem, linear programming, the study of quadratic, exponential and logarithmic functions, the geometric concepts of area and volume, and extending previous studies of trigonometry while learning a variety of approaches to solve equations. Problem contexts include: the geometric efficiency of the honeycomb, and maximization of profits from a business, and an engaging study of exponential and logarithmic functions through the classic tale of Alice in Wonderland. Extensive graphing calculator technology is emphasized as a tool for exploration and to promote student understanding. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education. Students enrolled in this course will be required to take the Algebra 1 EOC assessment.

Prerequisite: Successful completion of IMP Year 1.

ALGEBRAIC PROBLEM SOLVING | GRADES 10-12 | 5 CREDITS

Algebraic Problem Solving is an extension of the study of mathematics begun in Algebra 1 and the first two IMP courses. Algebraic Problem Solving is specifically designed for students who have demonstrated partial proficiency on the Algebra 1 EOC. Through data analysis and student discourse, this course will focus on algebraic modeling and problem solving. Students will take an investigative approach to learning through frequent use of graphing technology and real-world application.
Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Algebra 1 or IMP2 and non-proficient score on the Algebra 1 EOC

GEOMETRY | GRADE 9-12 | 5 CREDITS

Geometry is a college preparatory math course offered to students who have passed Algebra 1 and scored “Proficient” or “Advanced Proficient” on the Algebra 1 EOC assessment. Emphasis is placed on deductive proofs, applications, understanding and writing of acquired geometrical knowledge, processes of thinking by use of projects and hands-on activities connecting with real-world phenomena, non-Euclidean ideas and 3-D figures. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Algebra 1, or Algebra Geometry Concepts.

HONORS GEOMETRY | GRADE 9-12 | 5 CREDITS

Honors Geometry is the Honors college preparatory course offered to students who have shown superior mathematical abilities in Algebra 1. Emphasis is placed on deductive proofs, applications, and different methods of proof, understanding and writing of knowledge connections with the real world, inequalities, non-Euclidean ideas, transformations, coordinate proofs, and 3-D figures. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Algebra 1 and score of “Advanced Proficient” on Algebra 1 EOC or “Proficient” score with teacher recommendation.

INTERACTIVE MATHEMATICS PROGRAM 3 | GRADE 11 | 5 CREDITS

The third year of the Interactive Mathematics Program continues to re-define mathematics for students in this context-rich curriculum. IMP’s problem-centered approach helps students learn to think creatively and critically, and teaches them to draw simultaneously from many areas of mathematics to solve real-life problems. Students work with powerful mathematical ideas, including the binomial theorem, combinatorial coefficients, permutation, the Pythagorean theorem, and learn a variety of approaches to solving equations. Problem contexts include the geometry of the circular lot with geometric proofs, expanding on Year 2 unit Cookies linear programming while incorporating matrices with linear equations in three variables They will continue to develop the concept of slope, discover exponential and logarithmic functions, and determine when a diver should be released from the Ferris wheel in order or land in a moving tub of water. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Successful completion of IMP Year 2 and score of Proficient or Basic on Algebra 1 EOC.

ALGEBRA 2 | GRADES 9-12 | 5 CREDITS

Algebra 2 is an extension of the study of mathematics begun in Algebra 1. It satisfies the three year math requirement for students pursuing a four-year post high school education. The course covers operations with real and complex numbers, linear and quadratic systems, polynomials, logarithms, conic sections, and the concept of function. Strong emphasis is placed on graphing and mathematics modeling of real world situations. Graphing calculators will be used with appropriate lessons. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Algebra 1, Geometry or Honors Geometry.

HONORS ALGEBRA 2 | GRADES 9-11 | 5 CREDITS

Honors Algebra 2 is a college preparatory course designed for those students who have demonstrated superior math ability in Algebra 1 and Geometry. The course includes a review of the material covered in Algebra 1 with emphasis on linear and quadratic equations and inequalities, the use of powers, exponents and radicals along with rational functions. Topics to be introduced include exponential, logarithmic, and polynomial functions as well as conic sections. A basic introduction to trigonometric functions and identities is also included. Considerable emphasis is placed on graphing and mathematics modeling of real world situations incorporating extensive use of graphing calculator technology as a tool for exploration. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Algebra 1, Geometry with teacher recommendation or Honors Geometry

STATISTICS | GRADE 10-12 | 5 CREDITS

This course will introduce general statistical principles, which will be useful to students pursuing a college degree in psychology, business, science (especially medicine), social studies, mathematics, education, and many other areas. Statistics will provide students with the tools to read data critically and with comprehension, to produce data that provide clear answers to important questions, to create data displays in order to identify the overall pattern of a distribution, and to draw trustworthy conclusions based on data.

Prerequisite: Algebra 2 or IMP3.

TRIGONOMETRY | GRADE 11-12 | 5 CREDITS

This course is designed for students who have demonstrated strong mathematical understanding in previous mathematics courses. Students planning to pursue a liberal arts program or military sciences, engineering, landscape design, industrial technology, aviation, electronics, aerospace, physics of sports or advanced firefighting will find the course material relevant. It allows the student to discover the relationships between the parts of a triangle, trigonometric functions, and practical problems relating to these functions. The study of formulas, ratios, functions, identities, graphs, radian measurements, tables, vectors, coordinates, inverse functions and the theory of equations are included. Many of these topics will include hands-on performance assessment activities to broaden the students understanding. Successful completion of this course will count towards student fulfillment of the three years of mathematics required for students pursuing a four-year post high school education.

Prerequisite: Successful completion of Algebra 2 or IMP3.

PRACTICAL APPLICATIONS IN MATHEMATICS | GRADE 12 | 5 CREDITS

This course will focus on mastering the objectives of the New Jersey Core Curriculum Content Standards, problem solving, communicating mathematically, reasoning mathematically, and applying mathematics to real-world situations. Students will explore the use of mathematics in coding, probability, game theory, fair decision making, financial aspects of math including growth of money through debt and savings, and business efficiency through the study of networks and process scheduling. This course is designed for those seniors who need to complete a 3rd year math requirement.

Prerequisite: Seniors enrolled in this class must be slated to graduate in June of the year they take the class and have passed the HSPA

MATH LAB 4 | GRADE 12 | 5 CREDITS

Math Lab 4 is designed for seniors who have not met proficiency on the HSPA. Students will receive intensive instruction and review of the concepts presented on the HSPA. Students will also be involved in and complete the AHSA process developed by the State of New Jersey. Students who have not met proficiency on the mathematics section of the HSPA must be scheduled for this course.

PRE-CALCULUS | GRADE 10-12 | 5 CREDITS

Pre-Calculus is an advanced mathematics course offered to those students who have demonstrated excellent math skills in Algebra 2, IMP3 or Honors Algebra 2 and wish to pursue a college study in mathematics. Emphasis is placed upon refining mathematical and analytical reasoning, development of fundamental concepts, and the mechanics of an algebraic process and the nature of a function. Considerable time is spent on developing linear, quadratic, polynomial, exponential, and logarithmic and trigonometric functions, with the development of graphic techniques. This course is designed for students pursuing a post-secondary study in medicine, science, engineering, architecture of research related fields.

Prerequisite: Algebra 2, Honors Algebra 2 or IMP3 with teacher recommendation.

HONORS PRE-CALCULUS | GRADE 10-12 | 5 CREDITS

Honors Pre-Calculus is an advanced mathematics course offered to pupils who have demonstrated superior mathematical skills in Honors Algebra 2. Emphasis is placed on refining and developing skills mastered in previous math classes with a concentration on linear, quadratic, polynomial, rational, log and exponential functions. Students will study trigonometry and polar coordinates as well as an introduction to limits and derivatives. Considerable time will be spent on graphing techniques and the use of the graphing calculator. This course is designed for students pursuing post-secondary study in medicine, science, engineering, architecture or research related fields.

Prerequisite: Honors Algebra 2 or Algebra 2 with teacher recommendation.

CALCULUS 1 | GRADES 11-12 | 5 CREDITS

Calculus 1 is designed for those students who have demonstrated superior math skills in Pre-Calculus. Emphasis is placed on the development of limits, as well as methods and applications of differentiation and integration. Considerable time is spent on graphing, areas, volume, logarithmic functions, exponential functions, and trigonometric functions. The course is intended to prepare students for college math regardless of major.

Prerequisite: Pre-Calculus, Honors Pre-Calculus.

AP CALCULUS AB | GRADES 11-12 | 5 CREDITS

The Advanced Placement Calculus curriculum to be covered is similar to a college-level, first semester Calculus course and some schools may accept successful completion of this course (as demonstrated by a score of 3 or higher on the AP Calculus AB exam) for credit and/or placement. This course is open to junior and senior students who have successfully mastered the content of four college-prepartory mathematics courses including Algebra, Geometry, Algebra II and PreCalculus. The focus of this course is divided into two branches: differential and integral calculus. The course will investigate four major ideas of these branches during the year: limits, derivatives, indefinite integrals, and definite integrals, in preparation for the Advanced Placement Exam. The integration of technology is fundamental to this course and concepts are investigated and solved analytically, graphically, numerically and verbally. Students are expected to participate in the AP Calculus AB Exam offered by the College Board. This course is designed for the student pursuing a mathematically enriched post-secondary major.

Prerequisite: Honors Pre-Calculus or Calculus

AP CALCULUS BC | GRADE 12 | 5 CREDITS

AP Calculus BC is a course for the student who has successfully completed AP Calculus AB. The course covers all topics in the Calculus BC topic outline as it appears in the AP Calculus Course Description from the College Board. The objective of this course is to give students the understanding of calculus concepts, related mathematical skills, and appropriate technology necessary for success on the Advanced Placemant exam and in subsequent college math courses. The “Rule of Four”, which states that all topics should be presented from a graphical, numerical, analytical and verbal standpoint, is stressed throughout all topics covered in the course. Topics covered include: sequences, series, conic sections, vectors, three-dimensional graphing, and functions of several variables, differential equations, and advanced methods of differentiation and integration. The course is intended to prepare students to enter college mathematics at the Calculus 3 level or higher. Students will be expected to take the Advanced Placement Test offered by Educational Testing Services. This course is designed for the student pursuing a mathematically enriched post-secondary major.

Prerequisite: AP Calculus AB