The Mathematics program in grades 9 through 12 is designed to provide a strong foundation in mathematics for all students. Students are given the opportunity to develop skills required in college mathematics, and those with advanced mathematical ability and foundations, may take an accelerated program leading to advanced placement courses.

Courses provide opportunities for success that encourage all students to develop a positive attitude about mathematics by engaging them in exploring and solving interesting mathematical problems, using mathematics in meaningful ways, by focusing on concepts and understanding, as well as on procedures, and by consistently expecting students to go beyond repetition and memorization of content standards to problem solving and understanding.

The Mathematics Department provides students with assistance on homework assignments and with help for work missed because of an absence. These services are available after school from teachers in their assigned rooms.

Algebra I CP (3134MT)

Full-Year Course; Level - College Prep; Grade 9

Credit Value: 5.0

Prerequisite: Pre-Algebra; Teacher Recommendation

This course is offered to give students the opportunity to understand the basic structures of algebra and to communicate mathematical ideas, using mathematical vocabulary, notation, and structure to represent ideas, describe relationships, and model situations. Students will be expected to use the language of mathematics with precision. In addition, they will acquire facility in applying algebraic concepts and skills through multiple representations (i.e. graphical, numerical, and analytical). Graphing calculators and real-life applications are used throughout the course. The course is based on the conviction that a student learns mathematics by doing mathematics. This course prepares students for Geometry or Geometry CP (based upon teacher recommendation).

Algebra I (3124GN)

Full-Year Course; Level - College Prep; Grade 9

Credit Value: 5.0

Prerequisite: Teacher Recommendation

This course is offered to give students the opportunity to understand the basic structures of algebra. Students will be introduced to, and become comfortable with communicating mathematical ideas using mathematical vocabulary, notion notation, and structure to represent ideas, describe relationships, and model situations. Students will be introduced to the language of mathematics. Students will be able to apply basic algebraic concepts and skills. Graphing calculators and real-life applications are used throughout the course. The course is based on the conviction that a student learns mathematics by doing mathematics. This course prepares students for Geometry CP or Geometry (based upon teacher recommendation).

Math Enrichment (3101MT)

Semester Course; Level - College Prep; Grade 9

Credit Value: 2.5

Prerequisite: Teacher Recommendation

This course will be an additional opportunity for students in Algebra I to receive assistance by a certified math teacher.

Algebra II CP (3334MT)

Full-Year Course; Level - College Prep; Grades 10-12

Credit Value: 5.0

Prerequisite: Algebra I CP & Geometry CP; Teacher Recommendation

This course is offered to students who have successfully completed Algebra I and Geometry. A higher level of maturity is required in extending work done in Algebra I. Graphing calculators are used for analysis, visual study and interpretation. Algebraic techniques are emphasized together with applications, transformations and analysis. The number system is extended to include irrational and complex numbers. Equation solving techniques are extended to include systems of equations, and quadratic equations with irrational and complex roots. Radical, logarithmic, polynomial and exponential functions are also graphed and analyzed. Students learn both algebraic and calculator methods for solving problems. Students formalize the approach to Arithmetic and geometric series and sequences. An introduction to Trigonometry and Statistics is provided. This course prepares students for Precalculus I.

Algebra II (3334GN)

Full-Year Course; Level - College Prep; Grades 11-12

Credit Value: 5.0

Prerequisite: Algebra I & Geometry; Teacher Recommendation

This course is offered for new credit to students who have successfully completed Algebra I and Geometry. In addition to extending work done in Algebra I, manipulation and graphing calculator skills are emphasized. Students are encouraged to consider structure, applications, and visual representations. Students are introduced to function notation. Equation solving techniques are extended to include systems of equations and quadratic equations with irrational and complex roots. Radical functions are solved. Graphing techniques are extended to the two dimensional plane to include non-linear relations and the number system is extended to include irrational and complex numbers. Successful completion of this course will be based on multiple indicators. This course prepares students for Advanced Math Applications.

Algebra II E (3333MT)

Full-Year Course; Level - College Prep; Grades 9-10

Credit Value: 5.0

Prerequisite: Geometry CP or Geometry H; Teacher Recommendation

This is an intermediate algebra course offered to students who have demonstrated advanced ability in Geometry and Algebra I. Topics studied in the regular Algebra II curriculum will be extended and explored in greater depth, including graphing functions, solving equations (complex number solutions, polynomial, exponential/logarithmic, radical, and rational), and an introduction to trigonometry and statistics. Students will use the recommended graphing calculator throughout this course for investigating these concepts, both graphically and algebraically. Successful completion of this course will be based on multiple indicators. This course prepares students for Precalculus E.

Math Reasoning (3132MT)

Full-Year Course; Level - Honors; Grade 9

Credit Value: 5.0

Prerequisite: Geometry; Teacher Recommendation

This course is for students who have completed Geometry in 8^th grade. This course will reinforce and expand on the following list of topics: Rational Expressions, Exponents, Functions, Literal Equations, Quadratics, System of Linear Equations, and Trigonometry. The extensive use of a CAS graphing calculator by the students will be a requirement for this course. This course will prepare these students for Algebra II Honors.

Algebra II Honors (3302MT)

Full-Year Course; Level - Honors; Grades 9-10

Credit Value: 5.0

Prerequisite: Algebra I & Geometry H; Teacher Recommendation

This is an intermediate algebra course offered to students who have demonstrated superior ability in Geometry Honors and Algebra I. Topics studied in the regular Algebra II curriculum will be extended and explored in greater depth. In addition, the following topics are introduced: rational and logistic growth functions, probability and basic combinatorics. This course prepares students for Math Analysis.

Pre-Calculus I (3536MT)

Elective Full-Year Course; Level - College Prep; Grade 11

Credit Value: 5.0

Prerequisite: Algebra II CP; Teacher Recommendation

This course will serve as a precursor for Precalculus II with Statistics. The topics will include applying and graphing functions, trigonometry, limits, and sequences and series.

Calculus Honors (3622MT)

Elective Full-Year Course; Level - Honors; Grades 11-12

Credit Value: 5.0

Prerequisite: Precalculus E; Teacher Recommendation

This course will apply derivatives and indefinite and definite integrals that are investigated with an emphasis on science and business applications. The four major concepts to be mastered in this course are limits, derivatives, definite integrals and indefinite integrals. Students will use algebraic methods for differentiation and integration, numerical and graphical procedures will be investigated on functions they have encountered in the course preceding calculus. Use of a graphing calculator is expected.

Calculus AB AP (3620MT)

Elective Full-Year Course; Level - Advanced Placement; Grades 11-12

Credit Value: 5.0

Prerequisite: Math Analysis; Teacher Recommendation

This course is offered to students who have demonstrated a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry and analytic geometry (rectangular and polar coordinates, equations and graphs, lines and conics). The properties of algebraic, trigonometric, exponential, logarithmic and piecewise-defined functions are studied. These functions plus limits and continuity are studied and applied to the differential and integral calculus. Applications of the derivative plus the indefinite and definite integrals are investigated numerically, algebraically and graphically. Use of a graphing calculator is expected. This course prepares students for Calculus CD.

Calculus CD (3630MT)

Elective Full-Year Course; Level - Advanced Placement; Grade 12

Credit Value: 5.0

Prerequisite: Calculus AB; Teacher Recommendation

This is an honors course with AP weighting offered to those students who have successfully completed Calculus AB AP. The topics in AB will be studied in greater depth. Integration techniques, parametrically defined functions, polar curves, and sequences and series will be analyzed. Elementary differential equations will be investigated using Slope Fields, Euler’s Method, and solutions to differential equations. Other topics studied include: vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals, alternate coordinate systems, and an introduction to vector calculus, including Green's Theorem, and line integrals. Students who successfully complete Calculus CD will be prepared for the Calculus BC AP exam.

Geometry CP (3234MT)

Full-Year Course; Level - College Prep: Grades 9-10

Credit Value: 5.0

Prerequisite: Algebra I CP; Teacher Recommendation

This course is offered to students who have successfully completed Algebra I. The formal study of the principles of logic forms the basis for the deductive development of geometry as a mathematical system. Plane and spatial relationships, intuitively studied in earlier grades, are developed as part of a mathematical system. This is accomplished by the application of logic and deductive reasoning to undefined terms, defined terms, postulates and previously proven theorems. The basic rules of logic for conditional statements are also studied. The core of the geometry program is the traditional Euclidean plane geometry enriched by the addition of space geometry, transformational geometry, and coordinate geometry. Algebraic skills are further developed by the application of geometric principles to the solution of numerical exercises. Problem solving is emphasized. Exploratory hands-on activities are often used, including exposure to explorations of geometric concepts using the computer.

Geometry (3234GN)

Full-Year Course; Level - College Prep; Grades 10-11

Credit Value: 5.0

Prerequisite: Algebra I; Teacher Recommendation

Students master the concepts of traditional Euclidean plane geometry enriched by space geometry. Arithmetic and algebraic skills are further developed by the application of geometric principles to the solution of numerical exercises. Methods of coordinate geometry are used to demonstrate geometric applications. While proof is not emphasized, different methods are used to demonstrate theorems. Students are also acquainted with both deductive and inductive reasoning. Prerequisite: Algebra I and teacher recommendation. (Full year course) This course prepares students for Algebra II CP or Algebra II based on teacher recommendation.

Geometry Honors (3202MT)

Full-Year Course; Level - Honors; Grades 9-12

Credit Value: 5.0

Prerequisite: Algebra I CP; Teacher Recommendation

This course is offered to students who have demonstrated superior ability in mastering the concepts of Algebra I. The core of the Geometry Honors course is traditional Euclidean plane geometry enriched by the addition of space geometry. Plane and spatial relationships studied in earlier grades are further developed as part of a mathematical system, including polygons and circles. This is accomplished through the application of inductive and deductive reasoning to undefined terms, postulates and previously proven theorems. Two column proofs are emphasized throughout each concept explored. Algebraic skills are further developed by their application within the context of geometry. This course prepares students for Algebra II Honors.

Math Analysis (3422MT)

Full-Year Course; Level - Honors; Grades 10-11

Credit Value: 5.0

Prerequisite: Algebra II H; Geometry H; Teacher Recommendation

This course is offered to students who have demonstrated superior ability in mastering the concepts of Geometry Honors, and Algebra II Honors. The purpose of the course is to review, extend and summarize the important concepts to provide the essential background for the study of calculus. Math Analysis provides a rigorous development of trigonometry, vectors, complex numbers, conics, parametrics, 3D and limits. Students are also introduced to the differential calculus of polynomial functions. Advanced use of recommended CAS graphing calculators is expected.

Precalculus E (3534MT)

Elective Full-Year Course; Level - College Prep; Grades 11

Credit Value: 5.0

Prerequisite: Algebra IIE; Teacher Recommendation

This course will serve as a precursor for Honors Calculus. The topics will include applying and graphing functions, trigonometry, limits, and sequences and series.

Probability & Statistics – Project Based (3634MT)

Elective Full-Year Course; Level - College Prep; Grade 12

Credit Value: 5.0

Prerequisite: Precalculus I; Teacher Recommendation

The content of this course includes probability concepts, emphasizing the probability theory needed for statistical analysis, and understanding probability distributions. The statistics content includes the full scope of statistics: producing data, analyzing data, and making inferences. Additionally, by applying statistical methods to clearly defined project problems, students will work in groups to implement changes and measure improvements using statistical methods.

In addition to addressing the statistics and probability NJCCC standards, students will develop leadership, teamwork, and citizenship skills through the project-based approach.

Precalculus II with Statistics (3538MT)

Elective Full-Year Course; Level - College Prep; Grade 12

Credit Value: 5.0

Prerequisite: Precalculus I; Teacher Recommendation

This course will serve as a second in a two-year sequence following Precalculus I. The topics will build upon those covered in Precalculus I and also include a strong introduction to applied statistics.

Statistics AP (3530MT)

Elective Full-Year Course; Level - Advanced Placement; Grades 11-12

Credit Value: 5.0

Prerequisite: Algebra II H or Higher; Concurrently Enrolled in English H; Teacher Recommendation

This course is offered to mathematically able students who have completed the prerequisites listed below. The purpose of the course is to introduce students to major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploratory analysis, planning a study, anticipating patterns in advance, and statistical inference. Extensive reading and writing are required in this course.

Advanced Mathematics Applications (3474MT)

Elective Full-Year Course; Level - College Prep; Grade 12

Credit Value: 5.0

Prerequisite: Algebra I; Algebra II; Geometry; Teacher Recommendation

This course is intended for seniors who are looking for an interesting and practical fourth year high school math course but for whom the current college prep course is not available.

The course would comprise a series of units of discrete math and practical math applications. Topics include combinatorics, conditional probability, linear programming, inferential statistics and triangular trigonometry. The objective for the course is to introduce students to additional interesting and practical math topics, promote clear and precise thinking, and better prepare the student for the future through math content and technology.

Consumer Math (9309SL)

Full-Year Course; Level - CPS; Grade 11

Credit Value: 5.0

Prerequisite: Mathematics Teacher Recommendation or Child Study Team Recommendation

This course will emphasize the concepts of mathematics used in the real-world, and students will be introduced to the skills necessary for them to become informed consumers. Students will explore and apply mathematical concepts of earning money, spending money, creating household budgets, and be introduced to reading maps and transportation schedules. Students in this course will plan and write an itinerary for the annual PREP transportation field trip by researching real NJ Transit trains and transfers. In addition, students will practice important math skills that are seen in cooking and measurement that are used in daily life.

Personal Finance (9312SL)

Full-Year Course; Level - CPS; Grade 12

Credit Value: 5.0

Prerequisite: Mathematics Teacher Recommendation or Child Study Team Recommendation

In continuation from Consumer Math, this course will engage students in content and activities that will assist them in becoming effective and knowledgeable consumers. Students will practice the job application process, complete with a job interview, and create a monthly budget that reflect student’s interests. In this project-based course, students will buy a car, find shelter, and plan a vacation; all within their monthly budgets. Students will explore and practice stock trades as well as insurances that are needed in daily life. A strong emphasis of this course is the practice of filling out necessary paperwork that adults fill out in daily life.

Computer Science

The vast majority of careers in the 21^st century will require an understanding of computer science. Many jobs that today’s students will have in 10 to 20 years haven’t been invented yet. Professionals in every discipline – from art and entertainment, to communications and health care, to factory workers, small business owners and retail store staff – need to understand computing to be globally competitive in their fields.

Ridgewood High School’s computer science courses are offered to students in all grade levels.

In addition to teaching the programming concepts, computer science courses provide a great opportunity to develop logic and analytical skills. Critical thinking strategies will be developed as students apply these concepts to solve thought-provoking real world problems in the fields of business, science and mathematics. All courses are taught in a computer laboratory. Students will spend a significant amount of time using a school or home computer to work on required assignments for these courses.

Advanced Topics in Computer Science (3801MT)

Elective Full-Year Course; Level - Honors; Grades 11-12

Credit Value: 5.0

Prerequisite: Computer Science AP or Principles of Computer Science AP; Teacher Recommendation

This course will cover a broad array of research topics in computer systems and to engage students in systems research. The topics selected for the program will be reviewed and updated on an annual basis to stay relevant with changing technologies. At the end of the course, students will be able to explain and develop computer applications using languages and technologies aligned with topics explored such as: Data Structures, Database Design and Development, Programming in C++, and Building Graphical User Interfaces (GUIS). Other topics will include: CyberSecurity, Robotics, Python and Scripting Languages (i.e. Perl). Project based assessments will be used. The projects may take the form of research papers, presentations, and/or working computer applications or databases.

Computer Science AP (3800MT)

Elective Full-Year Course; Level - Advanced Placement; Grades 10-12

Credit Value: 5.0

Prerequisite: Computer Programming Honors or Principles of Computer Science AP; Teacher Recommendation

This course emphasizes object-oriented programming methodology with a concentration on problem solving and algorithm development. Students will design and implement adaptable, and when appropriate, reusable, computer-based solutions to problems in a variety of application areas in Java. Students will implement and develop commonly used algorithms and data structures to solve problems.

The goals of the AP Computer Science course are comparable to those in the introductory courses for computer science majors offered in college Computer Science departments. It is not expected however, that all students in an AP Computer Science course will major in computer science when attending college.

Principles of Computer Science AP (3810MT)

Elective Full-Year Course; Level - Advanced Placement; Grades 11 & 12

Credit Value: 5.0

Prerequisite: Geometry CP; Teacher Recommendation

This course introduces students to the foundation concepts of computer science and challenges them to explore how computing and technology can impact the world. With a unique focus on creative problem solving and real-world applications, AP Computer Science Principles prepares students for college and careers. The goals of the Principles of Computer Science course are comparable to those in the introductory courses for NON-computer science majors offered in colleges. The course is aligned to the seven AP CSP Big Ideas: Creativity, Abstraction, Data and Information, Algorithms, Programming, The Internet, and Global Impact.

Computer Applications (3860MT)

Elective Full-Year Course; Level - College Prep; Grades 9-10

Credit Value: 5.0

Prerequisite: Algebra I; Teacher Recommendation

This course would target topics like developing and maintaining web pages, creating mobile apps that can be used by students, and solving real world problems using modern day technologies.

Computer Programming Honors (3870MT)

Elective Full-Year Course; Level - Honors; Grades 9-10

Credit Value: 5.0

Prerequisite: Geometry; Teacher Recommendation

This course would target languages like Java, which is the primary language used in AP Computer Science and Python, which is one of the languages currently being used in the business world. The use of Python would be focused on the problem solving ability of this particular language.