MATHEMATICS COURSES

Co-enrollment of mathematics courses: Due to the sequential nature of mathematics, the following are the only courses that may be taken concurrently: Math PLUS classes, HSPA Math, AP Statistics, Intro to Statistics and Discrete Mathematics. Computer Science courses (Python Programming, Intro to Computer Science Using Java, Object Oriented Programming Using Java, AP Computer Science in Java) can be taken concurrently with mathematics courses but must be taken sequentially with other Computer Science courses. Geometry and Algebra II may also be taken concurrently in grades 10 through 12 with the department supervisor approval and an A in PHS Algebra I.


ALGEBRA I: H24010

Grades: 9-12
5.0 Credits
Year
Prerequisites: Successful completion of a prealgebra course.

Recommended for students not demonstrating mastery in essential Algebra I concepts as outlined through the NJ Student Learning Standards. This is a standard course in Algebra I. It makes the transition from the specifics of arithmetic to the generalizations of higher math. Topics include problem-solving, patterns and functions, data analysis, equations and inequalities, as well as other key concepts outlined in the NJ Student Learning Standards.


ALGEBRA I PLUS: H24011

Grades: 9-10
5.0 Credits
Year
Prerequisites: Students taking Algebra I who have been identified needing additional support through a criteria matrix.

The purpose of the PLUS class is to enable students to achieve their potential by providing academic support in identified areas of need. These areas will be assessed and progress will be monitored to show the growth that supports their success in Algebra I.


GEOMETRY I: H24021

Grades: 9-12
5.0 Credits
Year
Prerequisites: Successful completion of Algebra I.
Student with a C- or below in Algebra I must be enrolled in Geometry Plus.

The study of geometry includes triangles and their congruence, circles, spheres, quadrilaterals, similarity of polygons, characterizations of sets and construction, transformational geometry, and plane coordinate geometry.


GEOMETRY I ACCELERATED: H24022

Grades: 9-12
5.0 Credits
Year
Prerequisites: An A in middle school Algebra I or high school Algebra I and Benchmark Assessments, or B or above in Grade 8 Accelerated Algebra II.

Geometry I Accelerated is a rigorous course which covers most of the topics of plane geometry, with additional emphasis on the more complex theorems of solid geometry. The nature of geometric proofs is emphasized. A student who chooses this course should be aware of the following: the range of topics is greater and in more depth than a nonaccelerated course, and the pace is faster.


GEOMETRY I PLUS: H24020

Grades: 9-12
5.0 Credits
Year
Prerequisites: Students taking Geometry I who have been identified needing additional support through a criteria matrix.

The purpose of the PLUS class is to enable students to achieve their potential by providing academic support in identified areas of need. These areas will be assessed and progress will be monitored to show the growth that supports their success in Geometry I.


ALGEBRA II ELEMENTS: H24030 

Grades: 9-12
5.0 Credits
Year
Prerequisites: Successful completion of Geometry Elements or below C- in Geometry I.

Algebra II Elements will review many of the topics learned in Algebra I. Students will also study linear and quadratic functions, direct variations, radicals, and other related subjects. Concepts may be developed using the graphing calculator.


ALGEBRA II: H24031

Grades: 9-12
5.0 Credits
Year
Prerequisites: C- or above in Geometry, or B- or below in Geometry Accelerated.

In Algebra II, students will cover traditional material on inequalities, graphing, functions, rational exponents, factoring, systems of equations, rational expressions, solutions of equations, quadratic relations, exponential function and logarithms.


ALGEBRA II ACCELERATED: H24033

Grades: 9-12
5.0 Credits
Year
Prerequisites: A in both Algebra I and Geometry, or B or above in Geometry Accelerated.

Algebra II Accelerated is a rigorous course, which covers all the topics of standard Algebra II. Additional emphasis is placed on the concepts of functions, analysis, conics, logarithmic and exponential functions, and matrices. A student who chooses this course should be aware of the following: the range of topics is greater and in more depth than a non-accelerated course, and the pace is faster. Additional topics covered: conic sections, counting methods, probability, data analysis, statistics, sequences and series.


ALGEBRA II PLUS: H24032

Grades: 9-12
5.0 Credits
Year
Prerequisites: Students taking Algebra II who have been identified needing additional support through a criteria matrix.

The purpose of the PLUS class is to enable students to achieve their potential by providing academic support in identified areas of need. These areas will be assessed and progress will be monitored to show the growth that supports their success in Algebra II. 


APPLICATIONS OF ADVANCED ALGEBRA: H24040

Grade: 9-12
5.0 Credits
Year
Prerequisites: Successful completion of Algebra II or Algebra II Elements.

Algebra for students wishing to further explore patterns and relationships which occur through real world applications. Curriculum topics will include, but not be limited to, mathematical reasoning, solving problems using Venn Diagrams, math in retail sales, uses for radicals and exponents, solving formulas in electronics and other concepts relevant to the 21st century.


FOUNDATIONS OF PRE-CALCULUS: H24050

Grades: 9-12
5.0 Credits
Year
Prerequisites: C or below in Algebra II and completion of Geometry or an A in Algebra II Elements.

Foundations of Pre-Calculus will review many topics from Algebra II. It will also include a full study of functions (linear, polynomial, rational, exponential and logarithmic) and their graphs, as well as an introduction to trigonometry.


PRE-CALCULUS: H24051

Grades: 9-12
5.0 Credits
Year
Prerequisites: C- or above in Geometry, or B- or below in Geometry Accelerated AND C+ or above in Algebra II, or B- or below in Algebra II Accelerated.

Pre-Calculus emphasizes the study of elementary functions and the sketching of their graphs. Functions are covered intensively. Trigonometry and applications are fully developed in this course. Other topics include logarithmic, exponential and inverse functions.


PRE-CALCULUS ACCELERATED: H24052

Grades: 9-12
5.0 Credits
Year
Prerequisites: B or above in Algebra II Accelerated, or A in Algebra II and B or above in Geometry Accelerated, or A in Geometry Pre-Calculus

Accelerated is a rigorous course, which includes the topics developed in pre-calculus. It also includes selected topics in analytic geometry, probability, sequences and series, vectors, polar coordinates, parametric equations, limits, and an introduction to calculus. A student who chooses this course should be aware of the following: the range of topics is greater and in more depth than a non-accelerated course, and the pace is faster.


CALCULUS: H24060

Grade: 9-12
5.0 Credits
Year
Prerequisites: Successful completion of PreCalculus, or C or above in Foundations of PreCalculus.

Calculus is designed to introduce concepts of differential and integral calculus, with the emphasis on a gradual, thorough approach. Use of a graphing calculator is integrated throughout the course.


AP CALCULUS AB: H24061

Grades: 9-12
5.0 Credits
Year
Prerequisite: A in Pre-Calculus, or C+ or above in Pre-Calculus Accelerated.

This course covers the rate of change of a function, differentiation of algebraic and transcendental functions, plane analytical geometry, and integrals. Use of a graphing calculator is integrated throughout the course. This course is designed to prepare students to take the CEEB AP Calculus AB examination. Success on this exam could mean advanced placement for up to two semesters of college calculus.


AP CALCULUS BC: H24062

Grades: 9-12
5.0 Credits
Year
Prerequisite: B+ or above in Pre-Calculus Accelerated.

In addition to the topics of Calculus AB, students in this course will study differential equations, sequences, series, polar coordinates, and parametric equations. Use of a graphing calculator is integrated throughout the course. This is a rigorous course designed to prepare the student to take the CEEB AP Calculus BC examination. Success on this exam could mean advanced placement for up to three semesters of college calculus. 


MULTIVARIABLE CALCULUS AND LINEAR ALGEBRA: H24063

Grades: 9-12
5.0 Credits
Year
Prerequisite: AP Calculus BC with a B or better

The course covers the typical topics in a course in three dimensional, multivariable calculus, including but not limited to vector valued functions, multivariant functions and their derivatives, multiple integrals, techniques and theorems for the integration of vector fields. Topics from Linear Algebra will include linear transformations, Subspaces of R, linear spaces, orthogonality, determinants, Eigenvalues and Eigenvectors, and linear differential operators.


INTRODUCTION TO STATISTICS, DATA ANALYSIS AND PROBABILITY: H22070

Grade: 11-12
2.5 credits
Sem
Prerequisite: C or above in Algebra II. Foundations of Precalculus or Precalculus may be taken concurrently.

This course would serve as a non-rigorous first course in statistics, data analysis and probability with a strong emphasis on applications and the thinking behind data gathering and interpretation, rather that on theory and computation. (This course is not intended to prepare students for the AP exam in Statistics.) Students will learn about statistics and data by working with data. The use of graphing calculators will be incorporated throughout the course. This approach reflects the way real-life statisticians contribute to our understanding of the world. It will also help students be more discerning consumers of statistics, teaching them to look closely at what the numbers from surveys, election polls, and medical studies are really saying.


AP STATISTICS: H24072

Grades: 11-12
5.0 Credits
Year
Prerequisites: B or above in Algebra II. Pre-Calculus may be taken concurrently.

This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It is a collegelevel course and will follow the syllabus recommended by the College Entrance Examination Board. This course is designed to prepare students to take the CEEB AP Statistics examination.


DISCRETE MATHEMATICS: H22071

Grade: 11-12
2.5 Credits
Sem
Prerequisites: C or above in Algebra II.

Foundations of PreCalculus or PreCalculus may be taken concurrently. Discrete mathematics is the study of mathematical topics which deal with things that can be counted using whole numbers, rather than continuous sets of numbers (like those covered in Algebra, 21 Trigonometry and Calculus). The focus of this course will be on practical applications of discrete mathematics, particularly to issues of social choice and decision-making. Students will explore the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical