The overarching goal of the Mathematics department is to strengthen the problem solving and logical thinking skills needed to build a successful future in the 21st century. Throughout their educational experience, students sequentially explore mathematical content, while developing skills that support future endeavors.
Over the course of their K-12 experience, students work with others and share their mathematical reasoning with peers. While collaborating, students cultivate evidence by considering tools and models that efficiently and effectively support their logic and demonstrate their understanding. To explore the unknown, students utilize structure and patterns to work through unfamiliar problems and situations. Students learn to contemplate the reasonableness of their solutions and outcomes, reflecting on their work and processes.
The Ramsey mathematics department works to strengthen the critical thinking skills of all learners. Students build the capacity to reason mathematically and gain the essential skills needed to explore situations numerically, graphically, and algebraically. Throughout their mathematical experience, students strengthen the communication skills needed to share their thinking effectively in the future.
Although the AP examinations at the end of AP courses are optional, we recommend that students take the exam
Students study the laws governing signed numbers, polynomials, and rational expressions, and the use of these in the solution of linear equations, quadratic equations, and inequalities. Additional topics include verbal problems and the graphing functions.
(Honors) Prerequisite: 9th Grade: Algebra I in 8th grade. Multiple criteria will be used to establish a recommendation including standardized and diagnostic assessments , 8th grade marking period grades, and teacher recommendation.
(CP) Prerequisite: 9th Grade: Algebra I in 8th grade. Multiple criteria will be used to establish a recommendation including standardized and diagnostic assessments 8th grade marking period grades, and teacher recommendation
(CP) Prerequisite: 10th Grade: Algebra I CP
This course provides a development of plane geometry with emphasis on logical structure and inductive and deductive reasoning applied to formal proofs, construction and numerical problems. Some topics from coordinate and solid geometry are included.
(Honors) Prerequisite: 9th Grade -Algebra I in 7th grade and Geometry in 8th grade, “B” average or recommendation of Department Supervisor
10th Grade- Algebra I in 8th grade and Geometry Honors in 9th, “B” average
(CP) Prerequisite: 10th Grade- Algebra I in 8th Grade and Geometry CP, “C” average
11th Grade-Algebra I CP and Geometry CP, “C” average
This course offers a more detailed treatment of real numbers and an introduction to the complex number system through axioms for number systems, linear sentences in one, two and three variables, polynomials and factoring, rational expressions, irrational expressions, relations and functions, complex numbers, quadratic equations and systems, conic sections, exponential and logarithmic functions, and problem solving.
This course offers an introduction to the Java, Python, and Scratch programming languages. Students will learn the syntax of Java and an introduction to object-oriented programming. Specific topics include control structures, functions, and arrays. This course will prepare students to take AP Computer Science. In addition, this semester course offers an “honors option” which allows students to earn honors credit if additional projects are completed by the student, including weekly research to be done outside of the class.
This course continues students’ studies in Java learned in Computer Programming I. Students will expand their familiarity with the syntax of Java, Python, and Scratch and gain a more in-depth understanding of object oriented programming through the study of graphics. Specific topics include classes, inheritance, applets, jframes, and jpanels. This course will prepare students to take AP Computer Science. In addition, this semester course offers an honors option which allows students to earn honors credit if additional projects are completed by the student, including weekly research to be done outside of the class.
Mobile App Development introduces students to the development and coding of mobile computer applications on several different platforms, including Apple’s mobile operating system, iOS. Though primarily a coding course, this course also compares and contrasts programming for mobile applications to previous programming experiences, explores special considerations when programming for a mobile device, and discusses the social implications related to mobile applications.
The goal of AP Computer Science Principles is to focus students’ attention on the innovative aspects of computing and to demonstrate the relevance of computing to multiples areas of their everyday lives. The curriculum of AP Computer Science Principles is built around the fundamentals of computing, including problem solving, working with data, understanding the internet, cybersecurity, and programming. The course has a wide appeal to the high school student body because while there are technical aspects to the course, a major focus of the course is fitting computer science into a broad array of real-world applications.
The AP Computer Science course presents a rigorous approach to programming methodology, algorithms, and data structures. Applications of computing provide the context in which these subjects are treated. Applications are used to develop student awareness of the need for particular algorithms and data structures, as well as to provide topics for programming assignments to which students can apply their knowledge. The Java Programming language constitutes the vehicle for implementing computer-based solutions to particular problems. This college level programming course requires a strong background in intermediate algebra (Algebra II). In addition, the student must have a working knowledge of Java Programming.
(Honors) Prerequisite: 10th Grade: Algebra II Honors “C” average, Geometry 8th grade, Algebra I 7th Grade
11th Grade: Algebra II Honors and Geometry Honors “C” average, Algebra I 8th grade
(CP) Prerequisite: 11th: Algebra II CPE and Geometry CPE “C” average and Algebra I 8th Grade
12th Grade: Algebra II CPE, Geometry CPE, and Algebra I CP “C” average
This course provides the necessary background for the study of calculus. Topics included are: trigonometry, polar coordinates, analytic geometry, complex numbers, remainder and factor theorems, sequences, series, limit theory, and finding derivatives of algebraic functions.
This course provides students the opportunity to analyze real world data using foundational concepts in statistics, data analysis, and computer science. Analyzing data sets is an important skill needed to explore important real world problems and inquiries. Data is everywhere. Learn to infer, examine, and analyze to form your own conclusions.
This course is intended for students who have a thorough knowledge of college preparatory mathematics. The topics in this course include functions, limits and continuity, derivatives of algebraic functions and applications, integration and application of the definite integral, transcendental functions, and methods of integration.
The content of this course is determined primarily by the syllabus of the program in Advanced Placement mathematics as published by the College Entrance Examination Board. The topics include functions, limits and continuity, derivatives of algebraic functions and applications, integration and applications of the definite integral, transcendental functions, and methods of integration.
The content of this course is determined primarily by the syllabus of the program in Advanced Placement mathematics as published by the College Entrance Examination Board. The topics include all those topics found on the AB Calculus exam such as: functions, limits and continuity, derivatives of algebraic functions and applications, integration and applications of the definite integral, transcendental function, and methods of integration. Additionally it includes topics found on the BC Calculus exam: parametric, polar and vector functions, L’Hospital’s Rule, techniques of integration such as integration by parts, partial fractions, and improper integrals. Also included is solving logistical differential equations and the study of Taylor Series and Maclaurin series.
The content of this course is determined by the syllabus of the program in Advanced Placement Statistics as published by the College Entrance Examination Board. The students are exposed to four broad conceptual themes: Exploring Data, Sampling and Experimentation, Anticipating Patterns, and Statistical Inference.
AP Economics is a combination of Macroeconomics and Microeconomics. Macroeconomics focuses on the principles that apply to an economic system as a whole. Microeconomics focuses on the principles of economics that apply to the functions of individual economic decision-makers. The course also develops students’ familiarity with the operation of product and factor markets, distributions of income, market failure and the role of government in promoting greater efficiency and equity in the economy. Students learn to use graphs, charts, and data to analyze, describe and explain economic concepts.
The Finance course is sponsored by and based upon curriculum designed by the College of Financial Planning. A Certified Financial Planner may be called upon to assist the classroom teacher. Sample topics include insurance, planning for college tuition, and overall money management. Students will also be involved in various projects including budgeting and the tracking of their own stock portfolio using the Stock Market Game administered by Kean University. Business Management is a good class to have as a prerequisite although it is not mandatory.
*Profile Pathway Course
This is a senior profile course where students have the opportunity to deeply engage with a topic of interest related to statistics and the human experience. Students have the opportunity to explore their passions while integrating probability, data exploration, sampling, experimentation, statistical inference, procedures of estimation, confident intervals and hypothesis testing. A major goal of this course is to provide students with opportunities to apply descriptive and inferential statistics to a variety of fields of interests, including, but not limited to: business, psychology, sociology, science, and everyday life. Students are provided time to complete Profile Project components which include a proposal, research summary, portfolio work, and defense.