• ## MATHEMATICS

ALGEBRA I
5 Credits
Grade 9
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 NJSLS-M. The next course of study will be Geometry.

*Academic course level (College Prep, Essentials, Adaptive) will be based on teacher recommendation

Prerequisite: None

ALGEBRA I HONORS
5 Credits
Grade 9
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 NJSLS-M. The next course of study will be Geometry Honors.

Prerequisite: Sending district recommendation and a passing score on the Passaic Valley designated placement test for incoming freshman; Recommended final average of no less than an A (93-96) in current math course and a strong work ethic

GEOMETRY
5 Credits
Grades 9-12
Geometry is a study of geometric figures in the plane with an emphasis on the related three-dimensional 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 NJSLS-M. The next course of study will be Algebra II.

*Academic course level (College Prep, Essentials, Adaptive) will be based on teacher recommendation

Prerequisite: Successful completion of Algebra I at the appropriate academic level

GEOMETRY HONORS
5 Credits
Grade 9-10
Geometry is a study of geometric figures in the plane with an emphasis on the related three-dimensional 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 Non-Euclidean 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 NJSLS-M.  The next course of study will be Algebra II.

Prerequisite:  Successful completion of Algebra I; Incoming Freshman must have a passing score on the Passaic Valley designated placement and sending district recommendation; Current PV Students must have Recommended final average of no less than an A- (90-92) in Algebra I or a B+ (87-89) in Algebra I Honors and Instructor recommendation

ALGEBRA II
5 Credits
Grades 10-12
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 (College Prep, Essentials, Adaptive) will be based on teacher recommendation

Prerequisite: Successful completion of Algebra I and Geometry at the appropriate academic level

ALGEBRA II HONORS
5 Credits
Grades 10-12
The course is a continuation of the concepts taught in Algebra I incorporated with Geometry skills and objectives. Real-life 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; Instructor recommendation; Recommended final average of no less than an A- (90-92) in Algebra I or a B+ (87-89) or better in Algebra I Honors and final average of no less than a B+ (87-89) in Geometry Honors or an A- (90-92) in Geometry

PRE-CALCULUS
5 Credits
Grades 11-12
Pre-calculus 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 probability and statistics.

Prerequisite: Successful completion of Algebra II and Geometry with a final average of no less than a C (73-76)

PRE-CALCULUS HONORS
5 Credits
Grades 11-12
Pre-calculus 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; Instructor recommendation; Recommended final average of no less than a B+ (87-89) in Algebra II Honors or an A- (90-92) in Algebra II, and an average of no less than a B+ (87-89) in Geometry Honors or an A- (90-92) in Geometry

CALCULUS
5 Credits
Grade 12
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 anti-derivative. 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 Pre-calculus with a final average of no less than a B- (80-82) or Pre-calculus Honors with a C (73-76)

ADVANCED PLACEMENT CALCULUS
5 Credits
Grade 12
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 Honors Pre-calculus with no less than a B+ (87-89); Instructor recommendation

PROBABILITY AND STATISTICS
5 Credits
Grades 11-12
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, chi-square distribution, and variance analysis.

Prerequisite: Successful completion of Algebra II with a final average of no less than a C (73-76)

COLLEGE MATH
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 placement in math.  It is expected that a student who successfully completes this course will have developed a mastery and proficiency in the real number system, solving and graphing linear equations and inequalities, systems of equations and inequalities, polynomial, rational and exponential functions.

Prerequisite:  Completion of Algebra II at the appropriate academic level

CONSUMER MATH
5 Credits
Grades 11-12
The objective of this course is to provide students with the skills necessary to enter the job market. This is achieved by applying mathematical ideas 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, and 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: None