MATHEMATICS

SUMMER ASSIGNMENTS ARE REQUIRED FOR ALL MATHEMATICS COURSES.

ALGEBRA I

Credits: 5 (Year)

This course is designed to establish a strong foundation in the language of mathematics. Algebra I serves as a prerequisite for all secondary mathematics courses. A spiral approach will be given to solving equations. Students will solve equations involving fractions, decimals, and irrational numbers. Special emphasis will be placed on real- world applications. Students will thoroughly investigate linear and nonlinear equations, graphs and properties. Emphasis will be placed on practical application involving other disciplines and industry.

In addition, this course introduces the study of polynomials, factoring, and special products. Properties of positive exponents are developed with a brief introduction to negative and rational exponents. Rational expressions are explored and are applied to solving fractional equations. This course concludes with the presentation and application of the quadratic formula. Scientific calculators are recommended but not required.

ALGEBRA II

Credits: 5.0 (Year)

This course extends the skills developed in an introductory algebra course. New topics are often introduced through application. Topics to be studied in-depth include: the quadratic formula, advanced factoring, nth order roots, radical equations, synthetic division, complex numbers, and sequences and series. Graphing calculators are recommended but not required. PREREQUISITE: Algebra 1.

HONORS ALGEBRA II

Credits: 5.0 (Year)

This course covers all the topics of Algebra II with additional enrichment lessons included. Synthetic division, advanced verbal problems, advanced topics in factoring, and applications to science and consumerism are included. Students are challenged with problem sets and enhanced theoretical development of abstract ideas. Students use graphing calculators when appropriate. PREREQUISITE: Algebra 1 with a 92 or better.

GEOMETRY

Credits: 5.0 (Year)

In this course students will develop spatial sense through experiences that enable them to recognize, visualize, categorize, represent, and transform geometric shapes, and to apply their knowledge of geometric properties, relationships, and models to other areas of mathematics and to the physical world. Students will communicate mathematically using a variety of written, oral, symbolic, and visual forms of expression. Calculators, computers, models and geometric tools will be regularly used to enhance mathematical thinking, understanding, and power. Students will develop an understanding of measurement and systems of measurement to describe and analyze quantifiable phenomena. Freshman may only take Geometry if they have taken a full Algebra I course in 8^th Grade.

HONORS GEOMETRY / TRIGONOMETRY

Credits: 5.0 (Year)

In this course, as in Geometry, students will develop spatial sense through experiences that enable them to recognize, visualize, categorize, represent, and transform geometric shapes, and to apply their knowledge of geometric properties, relationships, and models to other areas of mathematics and to the physical world. Inductive and deductive reasoning skills are developed. Students also manipulate trigonometric identities, solve trigonometric equations for single arguments, graph trigonometric functions, and explore the real-world applications of trigonometry. Graphing calculators are an integral component of this course. Freshman may only take Honors Geometry if they have taken a full Algebra I course in 8^th Grade. Freshman must test into Honors Geometry.

Current students must have an 84 in the preceding honors course, or a 92 in the preceding CP course.

COLLEGE MATHEMATICS

Credits: 5.0 (Year)

This course is structured to reinforce Core Curriculum Content Standards in numerical operations, discrete mathematics, probability and statistics, data analysis, geometric reasoning, and algebra in preparation for the Integrated Math NJSLA exam and a basic college-level mathematics survey course. In addition, students focus on solving real-world problems in the areas of finance, science, and human behavior. Scientific calculators are recommended but not required.

STUDENTS WHO HAVE TAKEN ALGEBRA 2, SHOULD NOT TAKE COLLEGE MATH.

TRIGONOMETRY / PRE-CALCULUS

Credits: 5.0 (Year)

Students are introduced to analytic geometry and its applications. Using computer technology and graphing calculators, students study trigonometric functions, solutions to plane triangles, and vectors with physics applications. In addition, special emphasis is placed on the study of exponential and logarithmic functions and their applications. Previously learned algebraic skills are reinforced throughout the course as preparation for Calculus. Graphing calculators are an integral component of this course. PREREQUISITE: Algebra II and Geometry

HONORS MATH ANALYSIS

Credits: 5.0 (Year)

This course is designed for Juniors having completed Algebra II Honors and Geometry/Trigonometry Honors. This is a full-year course that begins with a review of algebraic techniques. Students study polynomial, rational, exponential, and logarithmic functions and graphs. The course also includes applications of trigonometry, systems of nonlinear equations and inequalities and an introduction to analytic geometry. Extensive work is done with graphing calculators and computers, whenever applicable. This course is a prerequisite for Advanced Placement Calculus.

HONORS CALCULUS

Credits: 5.0 (Year)

The first half of this full year course focuses on the introduction to limits, continuity, derivatives by definition, and formal differentiation. Students study applications of maxima-minima theory including curve tracing and related rates. Using an interdisciplinary approach, students learn to solve a wide variety of problems from mathematics, science, economics, and business with the support of computer technology and graphing calculators. The second half of the course is dedicated to the study of anti-differentiation and the Fundamental Theorem of Calculus, and the theory and methods of integrations for the algebraic and transcendental. Graphing calculators are recommended but not required. PREREQUISITE: Trigonometry/Pre-Calculus or Honors Math Analysis

ADVANCED PLACEMENT CALCULUS AB

Credits: 5.0 (Year)

Students study the topics outlined in the College Board’s current syllabus for AB Calculus. This includes limits, derivatives, definite integrals, anti-differentiation, slope fields, areas and volumes using integration, related rates, optimization, and extrema. Students learn to apply graphical, numerical, analytical, and verbal approaches to solving problems. Students also learn to use their graphing calculators to find complete graphs of functions, identify roots of equations, and calculate numerical derivatives and integrals. Students prepare throughout the year for the AP exam by solving open-ended questions and multiple-choice problems from previous exams. Graphing calculators are required. PREREQUISITE: Honors Math Analysis

IB MATHEMATICS STUDIES SL (2 year course)

Credits: 5.0 (Per Year)

In this course, students will be introduced to the basic concepts and techniques associated with the graphing calculator, number sense, algebraic concepts, financial math, geometry, trigonometry, and logic. Students will also be exposed to the elementary methods of probability, statistics, and differential calculus. Both graphing calculators and computers will be used often in the application of these topics. Project is due in March, this is part of the IB grade. Graphing calculators are required. PREREQUISITE: Algebra 2

PROBABILITY AND STATISTICS

Credits: 5.0 (Year)

This Junior/Senior mathematics course will prepare students for college-level Probability and Statistics courses. These college courses are often requirements for many college majors. Special emphasis will be placed on behavioral and political science and business applications. The TI-83+ graphing calculator is used extensively throughout the course.

Upon completion of this course, students will be able to describe events using statistics; organize and summarize data; determine probability of compounded events; analyze and draw appropriate inferences from data; and use listing, counting, and algorithmic methods to solve real-world problems. PREREQUISITE: Algebra II and Geometry

SAT PREP

Credits: 2.5 (Semester)

Success on the SAT requires practice and gaining confidence in test taking. Students who approach this class seriously will benefit by increasing their vocabularies, enhancing their abilities to read for comprehension and for inference, and mastering the formats of the various sections of the SAT. The course will be taught as a combination of online and classroom instruction.