High School Mathematics Courses

In  this course,  students  transition  from the concrete to the abstract in working with geometric shapes. Through manipulating physical models and computer-constructed figures, they discover geometric relationships. Students increase their skill in mathematical thinking as they work cooperatively in a stimulating, problem solving environment that requires them to make, support, and prove conjectures. In accomplishing the course objectives, they learn to utilize logical  thinking  skills,  geometric  relationships  in  the  real world, and the mathematical concepts needed for more advanced math classes.

Prerequisites: Successful completion of Pre-Algebra. 

In  this course,  students  transition  from the concrete to the abstract in working with geometric shapes with a strong algebraic bent. Through manipulating physical models and computer-constructed figures, they discover geometric relationships. Students increase their skill in mathematical thinking as they work cooperatively in a stimulating, problem solving environment that requires them to make, support, and prove conjectures. In accomplishing the course objectives, they learn to utilize logical  thinking  skills,  geometric  relationships  in  the  real world, and the mathematical concepts needed for more advanced math classes. 

Prerequisite: 80 or better in 8th Grade Algebra I with teacher recommendation. 

(First semester class taken on both A and B days. Must be followed by Part II during second semester)

Students study topics from algebra, geometry, probability, statistics, discrete math, and the connections among them.  In addition to using variables and the order of operations to solve for unknown quantities in equations and inequalities, students explore  functions,  analyze  data  using  scatter  plots, illustrate mathematical relationships graphically, and make connections that involve probability and simulations.

(Second semester class taken on both A and B days following Part I in first semester)

Students work with quadratic and exponential functions, their graphs, factoring, probability, and data analysis in the second half of the two-part sequence.  As in the first half, technology  and  manipulates  are  incorporated throughout the program.

Prerequisite:  Algebra 1 Lab - Part I

Students are introduced to the use of variables in solving for unknown quantities. Included are the laws of operations and their role in solving equations and inequalities. Students then work with linear  functions,  graphs,  and systems of equations,  quadratic and exponential functions, their graphs, factoring, probability, and data analysis. Technology  and  manipulates  are  incorporated throughout the program.

Prerequisite: Successful completion of Geometry

In this accelerated course, students are introduced to the use of variables in solving for unknown quantities. Included are the laws of operations and their role in solving equations and inequalities. Students then work with linear  functions,  graphs,  and systems of equations,  quadratic and exponential functions, their graphs, factoring, probability, and data analysis. Technology  and  manipulates  are  incorporated throughout the program. Additional topics and in-depth, challenging problems enhance the core curriculum.

Prerequisite: 90+ in Pre-Algebra, 90+ in Geometry, and teacher recommendation

This  course  develops  an  understanding  of  more  abstract algebraic concepts and intricate applications. The study of linear,  quadratic,  and  polynomial  equations;  the  number system, including complex numbers, systems of linear equations, exponential and logarithmic functions, and introduction  to  trigonometry  is  emphasized.  The  study  of conic sections through the use of coordinate geometry is included. Elements of statistics are integrated throughout the curriculum; also, topics from sequences and series are studied. A focus will be placed on SAT preparation in all units of this course. Students who choose this course intend on taking Pre-Calculus Honors and/or studying a STEM-related subject after high school. 

Prerequisite:  80+ in Geometry Honors

This  course  is  designed  for  students  who  have  a  special aptitude in mathematics as an alternative to “doubling up” in Geometry  Honors  and  Algebra  II  Honors  in  grade  10. Students study the algebraic and graphic approach to radical, quadratic,  polynomial,  rational,  trigonometric,  exponential, and logarithmic functions and their applications.  In addition, they  learn  applications  to  linear  and  non-linear  systems, conics, sequences and series, and limits.  This course prepares students for Advanced Placement Calculus AB in junior or senior year.

Prerequisites: 90 or better in Algebra I and 80  or  better  in  Geometry  Honors.

This  course  develops  an  understanding  of  more  abstract algebraic concepts and intricate applications. The study of linear,  quadratic,  and  polynomial  equations;  the  number system, including complex numbers, systems of linear equations, exponential and logarithmic functions, and introduction  to  trigonometry  is  emphasized.  The  study  of conic sections through the use of coordinate geometry is included. Elements of statistics are integrated throughout the curriculum; also, topics from sequences and series are studied. A focus will be placed on SAT preparation in all units of this course. Students who choose this course intend on taking Pre-Calculus and/or studying a STEM-related subject after high school.

Prerequisite: Successful completion of Algebra 1 and Geometry AND interest in pursuing Pre-Calculus.

This  course  develops  an  understanding  of  more  abstract algebraic concepts and intricate applications through a data-based, contextual approach. The study of linear,  quadratic,  and  polynomial  equations is brought to life by data sets and regression models using technology. The  number system, including complex numbers, systems of linear equations, exponential and logarithmic functions, and matrices, will be emphasized.  The  study  of circles and nonlinear systems through the use of coordinate geometry is included. Elements of statistics are integrated throughout the curriculum.  A focus will be placed on SAT preparation in all units of this course. Students who choose this course intend on taking a data-focused course, statistics,  and/or studying liberal arts after high school. Students who plan on taking Pre-Calculus should take Algebra 2 STEM; students who elect to take Pre-Calculus out of this course will need to complete a short summer assignment. 

Prerequisite: Successful completion of Algebra 1 and Geometry. 

In this course, students solve problems in a variety of important areas, including banking, investing, credit, employment and income taxes, automobile ownership, independent living, retirement planning, and household budgeting.  These topics are taught in an applications-rich, algebra-based, technology-oriented program that incorporates mathematical skills from Algebra 1, Geometry, and Algebra 2.  Students will also gain experience building Google Sheets and utilizing spreadsheet formulas to aid in working through financial applications. The primary purposes of the course are to allow students to experience the interrelatedness of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations.  This course has a strong algebraic component that simultaneously prepares students for college entrance examinations. 

Prerequisite: Completion of Algebra 2.

This course prepares students to take Calculus and further expands their knowledge and understanding of quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions.   Students learn to solve applications of these functions as well as non-linear systems, probability, polar coordinates, vectors, and limits while working both independently  and  together  in  problem-based  learning activities while utilizing technology as appropriate to solve problems both graphically and algebraically.

Prerequisite: 75 or better in Algebra II  STEM; students coming from Algebra II DATA will need to complete a summer assignment before entering.

AP Precalculus centers on functions modeling dynamic phenomena. This research-based exploration of functions is designed to better prepare students for college-level calculus and provide grounding for other mathematics and science courses. In this course, students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, business, social science, and data science. Furthermore, as AP Precalculus may be the last mathematics course of a student’s secondary education, the course is structured to provide a coherent capstone experience rather than exclusively focusing on preparation for future courses. Throughout this course, students develop and hone symbolic manipulation skills, including solving equations and manipulating expressions, for the many function types throughout the course. Students also learn that functions and their compositions, inverses, and transformations are understood through graphical, numerical, analytical, and verbal representations, which reveal different attributes of the functions and are useful for solving problems in mathematical and applied contexts. In turn, the skills learned in this course are widely applicable to situations that involve quantitative reasoning.

Prerequisite:  Successful completion of Algebra II. 

Students in this course study the theories and techniques of differential and integral calculus, as well as its applications in business, economics, and life/social sciences. Topics include  limits,  differentiation of  functions,   and function integration.  Using appropriate technology, students solve real-life problems  involving  motion,  business  analysis  and optimization, area or volume of curves and shapes, etc.

Prerequisite:  70 or  better  in  Pre-Calculus 

This course involves the fundamental concepts of mathematics, as well as the development and application of a different mathematical system used in college math programs. It covers inequalities, relations, functions, graphs, limits and continuity, differentiation of algebraic functions, trigonometric and exponential functions and integration.

Prerequisite: 80 or better in Pre-Calculus Honors or Algebra II/ Pre- Calculus Honors and teacher recommendation

This course is the second level calculus in the Honors track. Successful completion of all Honors math courses is required. In addition to the continuation of the topics covered in the    AP Calculus AB course, the students complete an array of advanced concepts prescribed by the College Board, including sequences and series, polar calculus, parametric equations, differential equations, and advanced study of area, volume, and arc length. 

Prerequisite: 80 or better in AP Calculus AB (Grade 11 into 12) or successful completion of the Khan Academy summer AB course (Grade 10 into 11) 

This is the third course in our Calculus sequence is equivalent to university-level Calculus III.  This class primarily deals with functions of several variables and reviews the basic concepts of calculus in that context. The primary goal is to learn how to draw, differentiate, and integrate functions with two or three variables.  Students who take this course are eligible for Seton Hall credit through Project Acceleration. 

Prerequisite: Successful completion of AP Calculus BC.

This class is for students who plan to enter fields such as economics, business, education, psychology, sociology, biology, medicine and any other profession that requires an understanding of statistics.  The course covers data collection techniques, calculating probabilities, data distributions, hypothesis testing and regression and analysis.   Successful completion of this course prepares students for college courses that require statistical knowledge.

Prerequisites: 70 or better in Algebra II

This course introduces major concepts for collecting, analyzing and drawing conclusions from data. There are four broad conceptual  themes  students  are  exposed to: exploring data, planning and conducting a study, exploring random phenomena using simulation and probability, and statistical inference.

Prerequisites: 85 or better in Algebra II or 80 or better Algebra II Honors

Students will learn to be data explorers in project-based units, through which they will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more! At the end of the course students will have a portfolio of their data science work to showcase their newly developed abilities.

Prerequisite: 75 or better in Geometry

Students explore the conceptual foundations of engineering design by means of a hands-on project based approach.  Projects include the building and programming of a robot and the building of structures. Through these projects, students are exposed to concepts in electronics, computer programming, mechanical design, and structural engineering.  Through group and individual work, students are introduced to the basic principles of product design, research and development, modeling, optimizing systems, and ergonomics.  Through these explorations, students gain an understanding of opportunities that are available via careers in engineering.   While completing the course projects, students develop their problem analysis and solving, teamwork, and communication skills.

Prerequisite: 80 or better in Algebra I

The math component of this course reviews the following topics as they appear on the SAT: linear equations and systems, problem solving and data analysis, manipulation of complex equations, and additional topics including the geometry and trigonometry most relevant to college and career readiness.  Students will receive personalized instruction through the Khan Academy platform, in addition to small-group lessons by the instructor.  By doing practice exams, students learn important test-taking skills appropriate to the SAT.  This course includes an SAT Prep verbal component.