
MATHEMATICS
ALGEBRA I
5 Credits
This course is a fundamental study of algebraic principles. Letters representing numbers are combined according to the rules of arithmetic. It is expected that a student who successfully completes this course will have developed mastery and proficiency in solving and graphing linear equations and inequalities, systems of equations and inequalities, functions, exponents, polynomials, and quadratic equations. This course is designed using the NJSLSM. The next course of study will be Geometry. *Academic course level (Adaptive, Essentials, College Prep) will be based on the results of the PV Placement Test, available middle school data, as well as sending district recommendation.
Prerequisite: NoneAPPLICATIONS OF ALGEBRA
5 Credits
The Application of Mathematics curriculum is aligned with the Algebra I curriculum to provide a life application perspective. Real world situations and experiences are brought into the classroom through structured learning experiences. The study of mathematics also leads to the ability to think logically and solve problems. The course develops thought patterns and mental discipline appropriate to life in a technological age. This course is designed to develop skills of mathematics, problem solving strategies, and methods of solutions applicable to real life situations. Deductive reasoning, handson experience, application and communication of mathematics, college preparatory, and technical fieldoriented skills enhance basic math instruction. The students will develop the skill in mathematics necessary to succeed at the college level, in a skilled job area, and pass the NJSLAM exam. Topics include properties of real numbers, solutions of linear equations and inequalities, quadratic equations, polynomials, problem solving, functions, graphing, data analysis, and statistics. *This course is mandated for students placed into Adaptive and Essentials Algebra I for support.
Prerequisite: NoneALGEBRA I HONORS
5 Credits
This course is a study of algebraic principles and applications. Letters representing numbers are combined according to the rules of arithmetic. It is expected that a student who successfully completes this course will have developed mastery and proficiency in variables and expressions, solving and graphing linear and quadratic equations and inequalities, ratios and proportions, functions, systems of equations and inequalities, exponents, polynomials and factoring, radical and rational expressions, simplifying algebraic expressions, use properties of numbers in expressions, solve and graph linear equations and perform operations with polynomials. This course is designed using the NJSLSM. The next course of study will be Geometry Honors.
Prerequisite: Eligibility for honors will be based on the results of the Passaic Valley placement test as well as sending district recommendation; Recommended final average of no less than an A (9396) in current math course and a strong work ethicGEOMETRY
5 Credits
Geometry is a study of geometric figures in the plane with an emphasis on the related threedimensional spatial concept integrated into the structure of the subject. Coordinate Geometry is included to strengthen the mathematical relationships between Algebra and Geometry. It is expected that a student who successfully completes this course will have developed mastery and proficiency in points, lines, and planes, proofs, parallel and perpendicular lines, congruency, triangle relationships, polygons, similarity, right triangle trigonometry, area, surface area and volume, circles, and measurement of arcs and angles. This course is designed using the NJSLSM. The next course of study will be Algebra II. *Academic course level will be based on teacher recommendation.
Prerequisite: Successful completion of Algebra I at the appropriate academic levelGEOMETRY HONORS
5 Credits
Geometry is a study of geometric figures in the plane with an emphasis on the related threedimensional spatial concept integrated into the structure of the subject. Coordinate Geometry is included to strengthen the mathematical relationships between Algebra and Geometry. Furthermore, topics of NonEuclidean Geometry are discussed to demonstrate the practical applications and natural everyday occurrences. Students who successfully complete this course will have developed mastery and proficiency in points, lines, and planes, proofs, parallel and perpendicular lines, congruency, triangle relationships, polygons, similarity, right triangle trigonometry, area, surface area and volume, circles, and measurement of arcs and angles. This course is designed using the NJSLSM. The next course of study will be Algebra II.
Prerequisite: Successful completion of Algebra I with a final average of no less than an A (9092) or Algebra I Honors with no less than a B+ (8789); Instructor Recommendation; Eligibility for incoming freshman will be based on the results of the Passaic Valley placement test as well as sending district recommendationALGEBRA II
5 Credits
This course further develops the study of Algebra I in which letters denote numbers or any one of a certain set of numbers. Arithmetic principles illustrate that numbers are related by laws that hold for any number. It is expected that a student who successfully completes this course will have developed mastery and proficiency in linear algebra, quadratic, rational, polynomial, radical and exponential functions, probability and statistics. The next course of study will be precalculus, probability and statistics, or college math. *Academic course level will be based on teacher recommendation.
Prerequisite: Successful completion of Algebra I and Geometry at the appropriate academic levelALGEBRA II HONORS
5 Credits
The course is a continuation of the concepts taught in Algebra I incorporated with geometry skills and objectives. Reallife applications are given throughout the course as well as reviews to boost retention. The use of calculators and computers help the student explore new ideas. The emphasis is placed on the structure of the real and complex number system. It is expected that a student who successfully completes this course will have developed mastery and proficiency in linear algebra, quadratic, rational, polynomial, radical, exponential and trigonometric functions. The next course of study will be Precalculus Honors.
Prerequisite: Successful completion of Geometry with a final average of no less than an A (9092) or Geometry Honors with no less than a B+ (8789); Final average in Algebra I of no less than an A (9092) or Algebra I Honors, with no less than a B+ (8789); Instructor recommendationPRECALCULUS
5 Credits
Precalculus is a comprehensive study of mathematical theory and applications designed not only to prepare students for Calculus and higher mathematics, but also for the mathematical proficiencies needed to compete in the 21st century. Students who successfully complete this course will have developed a mastery and a proficiency in linear functions, graphs of polynomial, rational and trigonometric functions, inverses and graphs of functions, vectors and parametric equations, conics, and exponential and logarithmic functions. The next course of study will be calculus or probability and statistics.
Prerequisite: Successful completion of Geometry and Algebra II with a final average of no less than a B (8082)PRECALCULUS HONORS
5 Credits
Precalculus is a comprehensive study of mathematical theory and applications designed not only to prepare students for Calculus and higher mathematics, but also for the mathematical proficiencies needed to compete in the 21st century. Student who successfully complete this course will have developed a mastery and a proficiency in linear functions, graphs of polynomial, rational and trigonometric functions, inverses and graphs of functions, vectors and parametric equations, conics, and exponential and logarithmic functions. The next course of study will be calculus or AP calculus.
Prerequisite: Successful completion of Algebra II with a final average of no less than an A (9092) or Algebra II Honors with no less than a B+ (8789); Final average in Geometry of no less than an A (90 92), or Geometry Honors, with no less than a B+ (8789); Instructor recommendationCALCULUS
5 Credits
The three main topics of the course are limits, differentiation, and integration. Calculus is the study of the variation of a function with respect to changes in the independent variable, or variables, as well as the methods of the antiderivative. Students who successfully complete this course will have developed a mastery and a proficiency in maxima and minima, slopes of curves, equations of tangents and normal, approximations, velocity and acceleration, chain rule, areas and volumes, equations of curves, centroids, and the fundamental theorem of calculus.
Prerequisite: Successful completion of Precalculus with a final average of no less than a B (8082) or Precalculus Honors with a C (7376); Instructor recommendationADVANCED PLACEMENT CALCULUS
5 Credits
Grades 1112
The AP Calculus coursework is comparable to calculus courses in colleges and universities. The level of rigor is high, and students complete a curriculum that follows a syllabus from the Educational Testing Service in Princeton. Both differential and the integral calculus are studied in the analysis of all movement and change. It is expected that a student who successfully completes this course will have developed a mastery and proficiency in properties of limits, explicit and implicit differentiation, slope of a curve and sketching, velocity and acceleration, maxima and minima, Rolle’s theorem, mean value theorem, Newton’s method for solving equations, area under a curve, volume, and transcendental functions. Students in this course are expected to take the AP exam in May.
Prerequisite: Successful completion Precalculus Honors with no less than a B+ (8789); Instructor recommendationPROBABILITY AND STATISTICS
5 Credits
Grades 1112
The objective of the course is to provide students with the necessary tools to apply and understand the fundamental concepts that underlie decisions reached by descriptive and/or inferential methods. One will become acquainted with the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is expected that a student who successfully completes this course will have developed a mastery and proficiency in the nature of statistics, sample data, methods of analyzing data, rules of probability, distributions, sampling and estimation, hypothesis testing, linear correlation and regression, chisquare distribution, and variance analysis.
Prerequisite: Successful completion of Algebra II with a final average of no less than a C (7376)AP STATISTICS
5 Credits
Grades 1112
AP Statistics is an introductory collegelevel statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and databased predictions, decisions, and conclusions. Students in this course are expected to take the AP exam in May.
Prerequisite: Successful completion of Algebra II with a final average of no less than an A (9092) or Algebra II Honors with no less than a B+ (8789); Instructor recommendationADVANCED MATHEMATICS
5 Credits
Grade 12
This fourth year of math instruction better prepares students for college entrance exams and college courses. Particular emphasis is placed on diagnostic testing in order to prepare students to successfully take the Accuplacer standardized test required for college/technical school placement in math. It is expected that a student who successfully completes this course will have developed a mastery and proficiency in rational numbers, ratio and proportional relationships, exponents, algebraic expressions, linear equations, linear applications and graphs, probability sets, descriptive statistics and geometry concepts.
Prerequisite: Successful completion of Algebra II at the appropriate academic levelMATH APPLICATIONS
5 Credits
Grades 1112
The objective of this course is to prepare students for life in the 21st century by expanding on the topics that were covered in Financial Literacy. This is achieved by utilizing topics from the Junior Achieve curriculum and applying them to real life applications through business, finance, and computer concepts. It is expected that a student who successfully completes this course will have developed a mastery and proficiency in the following areas: Salaries, Commissions, Deductions, Checking and Savings Accounts, Business Finance, Consumer Credit, Credit Cards, Insurance, Stocks and Bonds, Federal Income Tax, Budgeting, and Living Expenses. *This course is only available to applicable students within our special education program.
Prerequisite: Successful completion of Financial Literacy