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Mathematics Courses Click here for "What course should I take next?" Algebra I 5 credits Grade 9 This first-year course in algebra will begin to convey all of the dimensions of the understanding of algebra, its skills, its properties, its uses, and its representations. In additional to the content of most of traditional algebra, the course integrates geometry, statistics and probability into the algebra. Reading and problem solving are emphasized throughout the program. Real-life situations motivate algebraic ideas and provide settings for practice of algebra skills. Students will make use of current technology including graphing calculators. Content topics include the algebra of linear equations and inequalities, variable expressions, graphing, curvilinear functions, systems of equations, and polynomials. Prerequisite: Students need a 70 average or above in Algebra I in order to continue with Geometry as a next course.
Geometry 5 credits Grades 9, 10 Algebra is integrated with geometry throughout this course. Coordinates and transformations are also used throughout the course. In addition to traditional geometry topics such as similarity and congruence, students will also study trigonometry and vectors. Students may also explore geometric properties using computer software. Prerequisite: Minimum 70 average in Algebra I for students entering grades 10. Minimum 75 average in Algebra I for students entering grade 9.
Applied Algebra and Geometry I 5 credits Grades 9, 10, 11, 12 This course is intended for students whose mathematical background indicates a need for a moderately paced approach to algebra and geometry. The course will cover two-thirds of college-preparatory Algebra I. Students will make use of current technology including graphing calculators. Students who successfully complete this course may continue with Applied Algebra and Geometry II.
Applied Algebra and Geometry II 5 credits Grades 10, 11, 12 This course is intended for students whose mathematical background indicates a need for a moderately paced approach to Algebra and Geometry. This course will cover the remaining one-third of the standard academic algebra and one-third of standard academic geometry. Students will make use of current technology including graphing calculators. Upon satisfactory completion of this course, students will select Applied Algebra and Geometry III. Prerequisite: Passing grade in Applied Algebra and Geometry I.
Applied Algebra and Geometry III 5 credits Grades 11 & 12 This course completes the last two-thirds of academic geometry. There is extensive integration of algebra and geometric applications throughout the course. Completion of Applied Algebra and Geometry I, II, and III counts as three years of high school math, but two years of college preparatory math. Prerequisite: Passing grade in Applied Algebra and Geometry II.
Elements of Mathematics I 5 credits Grade 9 This course is a transitional course for students who plan to study algebra or to otherwise develop their mathematical skills. The three content themes are applied arithmetic, pre-algebra, and pre-geometry. These themes are interwoven in a development that emphasizes how operations of arithmetic are used in mathematics and in the real world. Scientific calculators will be used. Reading and problem solving are emphasized throughout the course.
Elements of Mathematics II 5 credits Grade 10 This is a full-year course designed for students not pursuing a college preparatory sequence or needing an additional year of pre-algebra preparation. Emphasis will be on problem solving and practical applications of mathematics. Topics which will be covered include consumer math, geometry and measurement, algebra and interpreting data. Students will make extensive use of calculators.
Elements of Mathematics III 5 credits Grade 11 Problem solving through numerical operations and applications; patterns and functions and algebra; data analysis, probability and statistics, and discrete mathematics; spatial sense and geometry are the prime foci of this course. Students will have opportunities for practical applications, spatial visualization, communication and problem solving. Calculators will be fully integrated into the course. This course is designed for students who are preparing for the New Jersey High School Proficiency Assessment and will fulfill the third year mathematics graduation requirement.
Advanced Algebra 5 credits Grades 9, 10, 11, 12 Facility with algebraic expressions and forms, especially linear and quadratic forms, powers and roots, and functions based on these concepts are emphasized in this course. Students study logarithmic, polynomial, and other special functions as tools for modeling real-world situations. This course applies geometric ideas learned in previous years, including transformations and measurement formulas. Graphing calculators are essential tools in studying many of these concepts. This course is highly recommended for all students considering college. Prerequisite: Minimum 70 average in Algebra I and Geometry for students entering grades 10, 11, 12 or90 in Applied Algebra and Geometry III. Minimum of an 80 average is needed in Geometry for students entering grade 9.
Advanced Algebra Honors 5 credits Grades 9, 10, 11, 12 Students in this course should be motivated, have a keen interest in mathematics, and be willing to work independently. This course emphasizes the development of facility with algebraic forms, linear and quadratic expressions, powers and roots, and functions based on these topics. Logarithmic, trigonometric, polynomial and other special functions are also studied. The use of these forms and functions to model real world situations is a major theme. Extensive connections to graphing calculators will be made in the course. Prerequisites: Minimum 85 in Geometry for students entering grade 9; a minimum 90 in Algebra I and Geometry for students entering grade 10.
Fundamentals of Intermediate Algebra 5 credits Grades 11 & 12 This course is a further study of algebra including a deeper concentration of topics already developed in Algebra I. It is less rigorous than Advanced Algebra and includes the following topics: algebraic forms, linear and quadratic expressions, powers and roots and functions based on these topics. Logarithmic, trigonometric, polynomial and other special functions are also studied. The use of these forms and functions to model real world situations is a major theme. Extensive connections to graphing calculators will be made in the course in this program. These students will have the opportunity to gain mathematical skills important for college work and in a variety of subjects. Prerequisite: Minimum 70 average in Applied Algebra/Geometry III. Departmental approval is necessary for students who have not followed the Applied Algebra/Geometry I, II, and III sequence. This course is not an option to students in grade 10.
Math Lab 2.5 credits Grade 12 This course is designed for students who do not achieve the minimum level of proficiency on the mathematics portion of the New Jersey High School Proficiency Assessment. It is mandatory for these students who are not otherwise enrolled in a basic skills mathematics class. Students will receive 2.5 credits per semester of enrollment. This course does not replace a regular math class. Instruction will focus on a student’s individual needs. During the period between the fall administration of HSPA and the end of the semester, students will work on their mathematics portfolio to demonstrate their proficiency in mathematics.
Introduction to Statistics and Discrete Mathematics 5 credits Grades 11 & 12 Further work in quantitative analysis and exploration of topics in discrete mathematics are the foci of this course. Both of these themes are studied in many collegiate mathematics classes. Both have strong relevance to fields outside of mathematics and science. This course may be taken as an elective for interested students or as a third or fourth year of mathematics in high school. Students planning to major in education, mathematics, science, business, computer science or a related field should take Functions, Statistics, and Trigonometry or Pre-calculus and Discrete Mathematics. Prerequisite: Passing grade in Advanced Algebra.
Functions, Statistics, and Trigonometry 5 credits Grades 10, 11, 12 This course integrates statistical, trigonometric and algebraic concepts. Students will display, describe, transform, and interpret numerical information represented as data, graphs, or equations. The use of polynomial, exponential, and trigonometric functions to model real-world situations with exact or statistical approximations are the major theme. Graphing calculators are used as tools periodically in the course. Students will also be expected to investigate topics in greater depth through projects. Prerequisites: Minimum grade of 70 in Advanced Algebra
Functions, Statistics, and Trigonometry Honors 5 credits Grades 10, 11, 12 This course integrates statistical, trigonometric and algebraic concepts. Students will display, describe, transform, and interpret numerical information represented as data, graphs or equations. The uses of polynomial, exponential, trigonometric functions to model real-world situations with exact or statistical approximations are major themes. Graphing calculators are used as tools periodically in the course. Students will also be expected to investigate topics in greater depth through projects. Prerequisites: Minimum grade of 85 in Advanced Algebra Honors or 90 in Advanced Algebra and recommendation of the department.
Pre-Calculus Honors 5 credits Grade 11 This course will use two texts from the University of Chicago School Mathematics Project, Functions, Statistics, and Trigonometry and Pre-calculus and Discrete Mathematics with the major focus on functions, trigonometry and pre-calculus topics. These topics include analysis of functions: polynomial, exponential, power, logarithmic and trigonometric; notions of limit: analytic geometry; and the conceptual underpinnings of the derivative and the definite integral. Graphing calculators are used as tools throughout the course. Students will also be expected to investigate topics in greater depth through projects. Prerequisites: Minimum grade of 90 in Advanced Algebra or 85 in Advanced Algebra Honors and recommendation of the department. This course is not an option for 10th grade students.
Pre-Calculus and Discrete Mathematics 5 credits Grades 11 & 12 There are two major themes to the course: pre-calculus and discrete mathematics. Pre-calculus topics emphasize the background theory on functions and analytic geometry. Discrete mathematics topics include formal logic, properties of natural numbers, mathematics induction, sequences, combinatorics, and graph theory. There is also a careful development of mathematical reasoning and proof. Students will make extensive use of graphing calculators. Prerequisite: Minimum grade of 70 in Functions, Statistics and Trigonometry
Pre-Calculus and Discrete Mathematics Honors 5 credits Grades 11 & 12 There are two major themes to the course: pre -calculus and discrete mathematics. Pre-calculus topics emphasize the background theory on functions, notions of limit, analytic geometry, and the conceptual underpinning of the derivative and the definite integral. Discrete mathematics topics include formal logic, properties of natural numbers, mathematical induction, sequences and combinatorics. There is also careful development of mathematical reasoning and proof. Students will make extensive use of graphing calculators. The last marking period will be devoted to starting the study of Calculus. Prerequisites: Minimum grade of 85 in Functions, Statistics, and Trigonometry Honors or 90 in FST and recommendation of the department.
Applications of Calculus 2.5 credits Grade 12 This one semester course involves the study of algebraic, trigonometric, exponential and logarithmic functions and elementary differential integral calculus, and focuses on the practical applications of these concepts. Graphing calculators will be utilized extensively. This course is for the student interested in being exposed to Calculus topics related to their field of interest. Prerequisite: Minimum grade of 75 in Functions, Statistics, and Trigonometry or Pre-Calculus and Discrete Mathematics or minimum of 70 in FST Honors, PDM Honors, or Pre-Calculus Honors and department recommendation.
Advanced Placement Statistics 5 credits Grades 11 & 12 This is a college-level introductory, non-calculus based course in statistics. It will introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will make extensive use of statistical graphing calculators and statistics software. All topics in the syllabus for the Advanced Placement Statistics test are included in the curriculum. Satisfactory performance on this test may qualify the student for college credit for one or more semesters of statistics. As a college-level course, considerable nightly preparation is required. Prerequisite: Minimum grade of 85 in Pre-Calculus Honors, FST Honors, or PDM Honors; or a minimum grade of 90 in FST or PDM and departmental recommendation.
Advanced Placement Calculus AB 5 credits Grade 12 This course involves in-depth study of algebraic, trigonometric, exponential and logarithmic functions and elementary differential integral calculus. All topics in the syllabus for the Advanced Placement Mathematics Test, Calculus AB, are included in the curriculum. Satisfactory performance on this test may qualify the student for college credit for one or more semesters of calculus. As a college-level course considerable nightly preparation is required. Prerequisites: Minimum grade of 85 in Pre-Calculus Honors or PDM Honors, or 90 in PDM and departmental recommendation.
Advanced Placement Calculus BC 5 credits Grade 12 This course involves in-depth study of elementary differential and integral calculus, vector, polar, and parametrically defined functions, and infinite series (including Taylor Series). All topics in the syllabus for the Advanced Placement Mathematics Test, Calculus BC, are included in the curriculum. Satisfactory performance on this test may qualify the student for college credit for two or more semesters of calculus. Prerequisites: Minimum grade of 95 in Pre-Calculus and Discrete Mathematics Honors and recommendation of the department.
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