Mathematics

Term: Full Year

 

Grades: 9-12

 

Algebra 1 is the first course of the 3-year NYS mathematics curriculum. Students will explore topics in algebra, relationships between quantities and reasoning with equations and their graphs, descriptive statistics, linear & exponential functions, polynomial & quadratic expressions, equations & functions, a synthesis of modeling with equations and functions. The Algebra 1 Regents examination, a graduation requirement, will be completed in June.

 

Term: Full Year

 

Grades: 9-12

 

This course covers the same topics listed above and meets every day in the 6-day cycle. The Algebra 1 Regents examination, a graduation requirement, will be completed in June.

 

Term: Full Year

 

Grades: 9-12

 

Prerequisite: Algebra 1 and recommendation of department

 

This is the second course in the 3-year high school mathematics sequence.  This course will cover congruence, constructions, similarity, proofs, trigonometry, circles, and extend applications to three dimensions, connecting algebra & geometry concepts through coordinates.  This will be done while maintaining, strengthening, and expanding algebraic and problem-solving skills.

 

Term: Full Year

 

Grades: 10-12

 

Prerequisite: Algebra 1 Plus or Algebra 1 and recommendation of the department.

 

This course covers the same material as Geometry described above. This class will meet every day in the six-day cycle. The Geometry Regents examination will be taken in June.

 

Term: Full Year (9th)

 

Prerequisite: An “A” or higher average in Eighth Grade Accelerated Mathematics, mastery on the Algebra 1 Regents examination, & teacher recommendation.

 

This is an intensive and accelerated paced course for those students who have demonstrated exemplary performance in the Eighth Grade Accelerated Mathematics course. The student must have excellent work habits; excellent insight into the higher-level mathematics topics discussed in class and must possess a strong desire to learn and be intrinsically motivated to succeed. This honors class covers the Geometry curriculum in much greater depth, detail, extension components of the NY State Learning Standards, and, in addition, explores enriched topics in Algebra 1 & Algebra 2, sophisticated factoring techniques, and complex numbers. Students must complete the Geometry Regents examination and at the discretion of the mathematics department a final examination.

 

Term: Full Year

 

Grades: 11-12

 

Prerequisite: Geometry or Geometry Plus and recommendation of department.

 

This course covers selected topics from the Algebra 2 curriculum and qualifies as a third math unit required for high school graduation. This course is designed as an introduction and foundation to Algebra 2.  Students in this course will not take the Regents Exam in Algebra 2 at the end of this course. Topics will include quadratic equations, complex numbers, rational expressions, radical functions, matrices, exponential and logarithmic functions, trigonometry, regression, and statistics.

 

Term: Full Year

 

Grades: 10-12

 

Prerequisite: Geometry and recommendation of departments.

 

This is the third course of the 3-year NYS mathematics curriculum. The topics in this course include the following: Polynomial, rational, and radical functions, trigonometric functions, exponential and logarithmic functions, probability and statistics, data analysis, sequences and series.  The Algebra 2 Regents examination must be taken in June.

 

Term: Full Year

 

Grades: 10-12

 

Prerequisite: Geometry and recommendation of departments.

 

This is the third course of the 3-year NYS mathematics curriculum. It covers the same topics listed above and meets every day in the 6-day cycle. The Algebra 2 Regents examination will be completed in June.

 

Term: Full Year

 

Grade: 10

 

Prerequisite: Math 9 Honors and recommendation of department.

 

This course exceeds the topics covered in Algebra 2 in both depth and breadth. Topics will include relations and functions, trigonometry, absolute value, greatest integer functions, higher degree polynomials, rational functions, logarithmic and exponential functions, probability, and statistics. At the discretion of the mathematics department a final examination will be given in addition to the Algebra 2 Regents Examination. In preparation for Advanced Placement Calculus, students are expected to master concepts with and without a graphing calculator.

 

Term: Full Year

 

Grade: 11

 

Prerequisite: Math 10 Honors and recommendation of department.

 

This is a course in elementary mathematical analysis. Topics studied include the following: parametric equations, analytic geometry, matrices, partial fraction decomposition, proof by induction, applications of trigonometry, advanced topics of rational functions, conic sections, curve tracing, polar coordinates, and differential calculus including: basic limit theorems, definition of the derivative, derivation of formulae for derivatives, fundamental theorem of the differential calculus, and applications of the derivative.

Term: Full Year

 

Grade: 12

 

Prerequisite: Senior Status, successful completion of Algebra 1 & Geometry.

 

Financial Algebra is an algebra-based, applications-oriented, technology dependent course that requires Algebra 1 and Geometry as a prerequisite. The course addresses college preparatory mathematics topics from Advanced Algebra, Statistics, Probability, Pre-calculus, and Calculus under seven financial umbrellas: Banking, Investing and Modeling a Business, Employment and Income Taxes, Automobile Ownership, Independent Living, Retirement Planning, and Household Budgeting. Students use a variety of problem-solving skills and strategies in real-world contexts. The mathematics topics contained in this course are introduced, developed, and applied in an as-needed format in the financial settings covered. This course qualifies as the third math unit required for graduation.

Term: Full Year

 

Grade: 12

 

Prerequisite: Senior Status, successful completion of Algebra 1 & Geometry.

 

This course covers the same material as Financial Algebra described above. This course is part of the Senior Experience program and will include some or all of the following: have individual/group projects, internship(s), guest speakers, field related experiences, and a community service connection component.

 

Students will be responsible for finding a site mentor in an area of interest for their internship component. The internship specifically is an experience based upon student interests within the financial field and should be directed towards a career or provides an enrichment of the student’s education. Interns cannot be paid for their work; hence present employment is not acceptable. Additionally, the intern may not be supervised by a family member.

 

Students will be evaluated by their school mentor and the coordinators of the program during meetings throughout the year. Participants are expected to keep a reflective journal about their Senior Experience.  Each participant is expected to complete a project as part of the program.  Examples include a research paper, performance, exhibition of work, video or portfolio.

Term: Full Year

 

Grade: 12

 

Prerequisite: Senior Status, Passing Grade in Algebra 2 and teacher recommendation.

 

 

The student will focus on problem solving and exploration, while building a deeper understanding of algebraic techniques. Topics will include polynomial functions, rational functions, logarithmic and exponential functions, matrices, data analysis, proof by induction, polar graphs, conics, trigonometric functions, limits, and an introduction into calculus.

Term: Full Year

 

Grades: 11-12

 

Prerequisite: Junior status or recommendation of department, Exemplary Performance in Algebra 2 or Math 10 Honors. Note: This course is not open to students who have completed PreCalculus.

 

This course covers the traditional topics in the Pre-Calculus course listed above and in addition focuses a more rigorous and expanded emphasis on specific topics needed for differential calculus. Topics include complex numbers, matrices, polynomial & rational functions, trigonometric functions, polar and parametric coordinates, limits and continuity, the derivative of a function, applications of the derivative, and optimization. This foundation will prepare students for the study of advanced placement and college level calculus.

Term: Three Years (1 credit per year)

 

Corequisite: Math research students must be enrolled in a mathematics course in addition to their math research course. In addition, students enrolled in Math Research 10 are also required to be concurrently enrolled in AP Computer Science Principles.

 

Prerequisite: Students qualify for these courses based on the following criteria: course grades/GPA, teacher recommendations, a qualifying examination during midterm week in Grade 9, an interview, and results of a standardized assessment. Upon acceptance, students and parents must agree in writing to a 3-year commitment to the research program. It is recommended that students take either AP Computer Science A, or AP Statistics in their junior year to further support their research project.

 

These courses comprise a 3-year program which will introduce students to mathematical research and problem-solving. Students will use databases, college libraries, Science Direct, and other resources to research and write papers in pure and/or applied mathematics. Computer programming will be used to enhance problem-solving capabilities and expand research opportunities.

 

In Math Research 10, students will study multiple platforms of computer programming, coding & language will be introduced to investigate and solve common real-world problems.  Students will also explore problem solving, and pure/applied mathematics.

 

In Math Research 11, students will continue their research experiences and begin to conduct their final research project. Students are required to complete a 6-8-week summer research internship with a qualified mentor, approved by the mathematics department between junior and senior year.

 

In Math Research 12, students will continue their studies in research.  Students may have the opportunity to participate in competitions such as the Long Island Math Fair, the Long Island Science and Engineering Fair (LISEF), the New York State Science & Engineering Fair (NYSSEF), the Junior Science High School Symposium, and Regeneron Science Talent Search.  In addition, students must compete in several competitions such as; American Mathematics Competitions, and the MC3 MathWorks Math Modeling Challenge. Specific competitions may vary each year depending on official dates of competition and student interest.

Term: Full Year 2x6 (12th)

 

Prerequisite: AP CALCULUS BC or departmental approval.

 

This course enables outstanding students to study at a level that is intellectually engaging, interesting, and challenging. This is a first course in multivariable calculus. The focus will be on functions of two and three variables, using calculus to analyze the geometry of curves and surfaces in three-dimensional space. The course begins with a review of differential and integral calculus, parametric equations and polar coordinates. Topics of study include; vectors in 2- and 3-dimensional Euclidean spaces, dot product, and cross products, vector-valued functions, motion in space, partial derivatives, double and iterated integrals over general regions, area by double integration, volume by double integration, double integration in polar coordinates, triple integrals over general regions in rectangular coordinates, triple integrals in cylindrical and/or spherical coordinates, vector fields, Theorems of Green, Gauss, and Stokes, and differential equations.

Term: Full Year Grade: 12

 

Prerequisite: See below.

 

Students may take this course at the conclusion of a departmentally approved sequence of mathematics courses and teacher recommendation.   All students are required to complete the A.P. Calculus AB examination in May. The course begins with a brief review of precalculus concepts with emphasis on logarithmic relationships, trigonometric identities and understanding how different functions model change. A formal study of both differential calculus and integral calculus will be the focus of this course. Differential calculus applications include the study of related rates and maximum and minimum word problems. Applications of the integral calculus include: area, volumes, and average value of function. The course concludes with a study of differential equations including slope fields.

Term: Full Year

 

Grade: 12

 

Prerequisite:  Senior status, teacher recommendation, strong work ethic, and exemplary performance in Algebra 2. All students are required to complete the AP Calculus exam in May. Note: This course is not open to students who have completed Math 11H, Pre-Calculus or Topics in Differential Calculus.

 

This course begins with an in-depth study of pre-calculus concepts with emphasis on logarithmic relationships, trigonometric identities and understanding how different functions model change. A formal study of both differential calculus and integral calculus will be the focus of this course. Differential calculus applications include the study of related rates and maximum and minimum word problems. Applications of the integral calculus include: area, volumes, and average value of function. The course concludes with a study of differential equations including slope fields. This class meets every day in the six-day cycle. All students are required to complete the AP Calculus exam in May.

Term: Full Year Grade: 12

 

Prerequisite: See below.

 

NOTE: This course is not open to students who complete AP Calculus AB or Topics in Pre-Calculus/Differential Calculus. Students may take this course at the conclusion of a departmentally approved sequence of mathematics courses. Admittance will be based on the following criteria: teacher recommendation and successful completion of Math 11 Honors or departmental approval.

 

All students are required to complete the AP Calculus BC examination in May.

 

This course enables outstanding students to study at a level that is intellectually engaging, interesting, and challenging. The course begins with a review of differential calculus. Topics included are: integration as an antiderivative, fundamental theorem of the integral calculus, applications of the integral calculus, methods of integration, transcendental functions, infinite series and differential equations, vectors, parametric and polar equations.

Term: Full Year (10-12th)

 

Prerequisite: Strong Performance in Algebra 1, Teacher recommendation and an outstanding record of achievement in mathematics with a genuine interest in computer science.

 

This course is an in-depth, rigorous, exploration of object-oriented programming techniques using the JAVA programming language. The emphasis will be on JAVA objects and their methods. Students will benefit from extensive computer laboratory experience, team projects, and lectures. All students are required to complete a minimum of 20 hours of hands-on lab experiences and take the Advanced Placement Examination in Computer Science.

Term:  Full Year (10-12th)

 

Prerequisite: Successful completion of Algebra 1, strong performance in mathematics and a genuine interest in computer science.

 

The AP Computer Science Principles course offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity concerns, and computing impacts. AP Computer Science Principles will give students the opportunity to use technology to address real-world problems and build relevant solutions. Together, these aspects of the course make up a rigorous and rich curriculum that aims to broaden participation in computer science. All students are required by the College Board to complete a coding project, a minimum requirement of lab hours experience, and take the Advanced Placement Examination in Computer Science Principles.

Term: Full Year (11-12th)

 

Prerequisite: Algebra 2 or Math 10 Honors or departmental approval.

 

NOTE:  Admittance will be based on the following criteria: teacher recommendation and strong performance in Algebra 2 or Math 10 Honors.  All students are required to complete the AP Statistics examination in May.

 

This course introduces the concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will have an opportunity to explore data to see patterns, produce mathematical models using probability and simulation, and complete the procedures for confirming the validity of the models. The graphing calculator will be used as a tool for analysis.

 

Term: Full Year

 

Grade: 9 Only

 

Co-Requisite: Students who are part of Introduction to STEM must take the appropriate corresponding science, mathematics, and social studies level courses.

 

This course provides students with an introduction to materials and methods for independent study. Topics include an overview of physical and life science techniques; application of technological tools, programs and resources; prototype design and modeling; and analysis of collected data from direct measurement and surveys. This includes developing a project plan, supporting evidence through the use of college libraries, completing statistical analysis, and writing research papers. Students will be required to submit technical essays to online competitions. This class is a 2 x 6 course.