 |
COURSE OFFERINGS |
||
 |
|||
|
Mathematics Courses
Fundamentals of Algebra This course is designed to help the student learn algebra and apply it to the real world. The student will be challenged to make connections from concrete examples to abstract concepts. There is a reality orientation towards both the selection of content and the approaches allowed the student in working out problems. The student will also have plenty of opportunities to review and use arithmetic and geometry concepts as they study algebra. Reading and problem solving are emphasized throughout the course. Students will be expected to use current technology. New Jersey Core Curriculum standards are addressed and preparation for standardized testing is incorporated throughout the course.
Fundamentals of Geometry This course is designed to help the student discover, learn, and apply geometry. The student will be challenged to make connections from concrete examples to abstract concepts. There is a reality orientation towards both the selection of content and the approaches allowed the student in working out problems. The student will also have plenty of opportunities to review and use algebra concepts as they study geometry. Reading and problem solving are emphasized throughout the course. Students will be expected to use current technology. Core and course standards are addressed throughout. Students are prepared for standardized testing including but not limited to the HSPA exam.
Mathematical Investigations The goal of the Mathematical Investigations course is to continue the progression of the non-college bound mathematics student who has completed Fundamentals of Algebra and Geometry. It also accommodates those students who have not obtained the skills necessary to advance to Algebra II. It is a junior level course. A major emphasis of this course will be on problem solving strategies needed to successfully master higher order thinking multiple choice and open-ended questions. An ongoing review of algebra and geometry skills will be stressed. Advanced algebra topics will be introduced. The course will incorporate the skills identified by the Core Curriculum Standards. Skills utilized on the HSPA, PSAT, and SAT are addressed throughout.
Applications of Mathematics The Applications of Mathematics course is designed to meet the needs of the non-college bound student. The purpose of the course is to provide students the opportunity to acquire the mathematical knowledge and skills needed for daily life and for occupations that do not require formal study after high school graduation. The course provides a sound mathematical basis for students who will spend their adult lives in a society increasingly dominated by technology and quantitative methods. Students will be expected to use current technology including scientific calculators, graphing calculators, and computers. The course will incorporate the skills identified by the Core Curriculum Standards. Skills utilized on the HSPA, PSAT, and SAT are addressed throughout.
Mathematics CP Courses
Algebra I This course is designed for the first year academic algebra student. The use of variables is explored in application and theory. Students will develop and apply strategies for solving variable sentences. Students will also take into consideration applications of algebra in real world situations. Concepts to be studied will include: properties of real numbers, linear equations, exponents, inequalities and polynomials. Core course standards and technology are addressed and infused throughout the course. Students will be continually prepared for HSPA and SAT success
Geometry The goal of this course is to develop the ability to think clearly, logically, and critically. Students will acquire an understanding of the logical structure of geometry through definitions, postulates, theorems, and reasoning skills. Students will apply geometric concepts to mathematical and non-mathematical situations. The course will enable the student to apply and integrate arithmetic and algebraic skills with geometric concepts. Core and course standards are addressed throughout. Students are prepared for HSPA, PSAT, and SAT. The skills acquired through this course are essential preliminaries to the study of higher mathematics.
Algebra II This course has been developed to reinforce and build upon the mathematical skills and concepts begun in Algebra I. Four major points of understanding will be emphasized: skills for carrying out algorithms; developing and using mathematical properties and relationships; applying mathematics in real world situations; and illustrating mathematical concepts by graphs or other representations. Reading and interpreting mathematical information will be integrated throughout the course. Technology will be used to enhance students’ understanding of mathematics. Core course standards, HSPA, and SAT preparation will be addressed throughout the course.
Trigonometry/Advanced Algebra The goal of the Trigonometry/Advanced Algebra course is for students to experience the understanding of higher mathematics. Concepts are reinforced with examples and enhanced with meaningful applications to non-mathematical disciplines, such as science, social studies, and business. Students will graph in the coordinate plane using traditional methods and the graphing calculator. They will have the opportunity to explore problem solving techniques. They will check for understanding, practice the concepts, and apply the mathematics in order to reinforce previously learned concepts. The NCTM standards will be adhered to in the program, as well as NJCCS standards. HSPA and SAT preparation will be addressed throughout the course.
Mathematics Honors Courses
Geometry Honors Honors Geometry is designed to teach students geometry and logical thinking. The ability to apply known information to novel problems in a valid way is as important as the geometrical concepts covered. Students will also develop an appreciation for the connections between geometry and other disciplines such as art and architecture. Calculators, graphing calculators, Geometer’s Sketchpad software, and other appropriate technology tools will be used to assist in teaching and learning.
Algebra II Honors The Algebra II Honors course is designed to meet the needs of the advanced second year algebra student, to provide a foundation of higher-level mathematical ideas and to explore real life applications of these ideas. Students will build on prior knowledge and will be encouraged to become independent learners. Students will continuously be exposed to more varied and sophisticated problem solving techniques while developing a deeper understanding of fundamental mathematical concepts. Functions of many types will be studied, with a focus on understanding the properties they share. Technology will be used throughout the course to facilitate learning and understanding. Core course standards, HSPA, and SAT preparation are addressed throughout the course.
Pre-Calculus Honors Pre-Calculus blends the concepts and skills that must be mastered before enrollment in a college-level calculus course. The course includes the study of relations and functions, exponential and logarithmic functions, trigonometry in triangles, trigonometric functions, trigonometric identities and equations, limits of functions and derivatives. Students will investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use graphing calculators to build understanding, make connections between representations, and provide support in solving problems. Students are expected to perform at a high level.
Calculus Honors Advanced Mathematics is designed to meet the needs of advanced math students who wish to gain a basis of calculus prior to college. Major emphasis is placed upon understanding and using the concepts of derivative, integral and definite integral. Students will be encouraged throughout to become independent learners, building on previous knowledge and extending that knowledge to the concepts covered in calculus. Technology will be used throughout the course to facilitate learning and understanding. Core course standards, HSPA, and SAT preparation are addressed throughout the course.
Mathematics AP Courses
Advanced Placement Calculus The Advanced Placement Mathematics program, consisting of Introduction to Advanced Placement Calculus and Advanced Placement Calculus is designed for the exceptionally talented mathematics student. Students will become efficient and creative problem solvers. Students are encouraged to choose the most appropriate method: analytic, algebraic, numerical, graphical and verbal for solving a particular problem. It prepares the student for the Advanced Placement Calculus AB Test administered at the completion of the Advanced Placement Mathematics 2 AP course. The importance of technology is highlighted by selectively using the graphing calculator throughout the course. Real life applications are emphasized. Core and course standards are addressed throughout. Students are prepared for HSPA, PSAT and SAT.
Advanced Placement Statistics The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data (Describing patterns and departures from patterns), Sampling and Experimentation (Planning and conducting a study), Anticipating Patterns (Exploring random phenomena using probability and simulation), and Statistical Inference (Estimating population parameters and testing hypotheses). Students who successfully complete the course and exam may receive credit, advanced placement, or both for a one-semester introductory college statistics course.
Electives
Statistics The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is organized around themes rather than separated by subject area. Students are taught to use mathematics as a tool to investigate phenomena, explore new concepts and make generalizations. Emphasis is given to topics relevant to students’ present and future needs while still covering the core curriculum standards. Students will be expected to use current technology and graphing calculators as an integrated part of the curriculum.
|
|||