Math
MAST Math program: Courses Offered:
Math Lab Schedule:
Course Descriptions: Algebra I Algebra is the language of patterns and relationships, through which most of mathematics is communicated. It is a tool which people use to model real situations and answer questions about them. It is also a way of operating with concepts at an abstract level and then applying them, often leading to the development of generalizations and insights beyond the original context. This course is designed to examine the basic structure of real numbers, and to study linear and quadratic functions, as well as to introduce students to data analysis. Mathematical modeling and problem solving are major themes of this course. Students will continue their study of patterns and relationships, formalizing their knowledge, learning to use symbolic notation, and connecting their understandings to the real world. Algebra II/Trigonometry The content of this course is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, rational, and trigonometric functions. As students study each family of functions, they will learn to represent them in multiple ways, such as verbal descriptions, equations, tables, and graphs. Students will also learn to model realworld situations, using functions, in order to solve problems arising from those situations. This course is designed to extend the students’ previous knowledge of algebraic concepts and to examine more functions. Students will continue to develop their analytical and problem solving skills, as well as enjoy an introduction to probability. Geometry This course is designed to incorporate all of the conceptual aspects of geometry: visualization, analysis, informal reasoning, formal reasoning and deduction. This study of geometry will include components of Euclidean geometry and coordinate geometry. The primary objective of this course is to assist students with the development, verification and application of geometric concepts. Technology will be implemented into several aspects of this course, which will allow students to formulate and test geometric conjectures and patterns, and further investigate mathematical ideas. Precalculus This course is designed to extend the students’ previous knowledge of algebraic concepts and trigonometric functions, to help students truly understand the fundamental concepts of algebra, trigonometry and analytic geometry, to build an intuitive foundation for calculus, and to show how algebra and trigonometry can be used to model real – life problems. A principle feature is the balance among the algebraic, numerical and verbal methods of representing problems. In addition, the students will continue to develop their analytical and problem solving skills. Discrete Math This course introduces the students to a series of modernday mathematical constructs and principles that are not typically covered in the usual college preparatory Math course sequence. Among the topics to be addressed in the course are many listed in Chapter 14 of the New Jersey Mathematics Curriculum Framework as they relate to the New Jersey Core Curriculum Content Standards. These topics will include combinatorial and algorithmic problems, critical path analysis, strategies of optimization, problems of voting, apportionment, and fair allocation of resources, networks, and the application of discrete methods to solve realworld problems. Calculus I Initial instruction involves a comprehensive treatment of derivatives of function in one variable, and continues to the development of the definition, formulas, and applications. The next facet of the course centers on integration with applications. Advanced Placement Calculus AB Calculus AB targets students who successfully complete courses in Algebra I, Algebra II, Geometry, Pre calculus and Trigonometry, and are recommended by the mathematics department. The course is divided into two main categories: differential and integral calculus. The focus of the course will be on graphical analysis of functions, and solving practical applications. Emphasis is placed on using calculus to analyze functions and their graphs, using higher level thinking skills, therefore, superior skills in algebra and trigonometry are essential for success in calculus. The course will be geared to the Advanced Placement Calculus AB Exam, which will be administered in May. Students are awarded college credit based on course proficiency. Advanced Placement Calculus BC Calculus BC targets students who successfully complete courses in Algebra I, Algebra II, Geometry, Pre calculus, Trigonometry, and Calculus AB, and are recommended by the mathematics department. This course is divided into three main categories: differentiation, integration, and sequences and series. An intensive review of Calculus AB allows students to apply their mathematics knowledge to problems involving parametric equations, polar equations, and vectors. Superior skills in algebra and trigonometry are essential for success in Calculus BC. The course will be geared to the Advanced Placement Calculus BC Exam, which will be administered in May. Students are awarded college credit based on course proficiency.
