MATHEMATICS PROGRAM

NEW YORK STATE STANDARDS FOR MATHEMATICS, SCIENCE AND TECHNOLOGY

Standard 1: Analysis, Inquiry, and Design - Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions.

Standard 2: Information Systems - Students will access, generate, process, and transfer information using appropriate technologies.

Standard 3: Mathematics - Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.

Standard 4: Science - Students will understand and apply scientific concepts, principles, and theories pertaining to the physical setting and living environment and recognize the historical development of ideas in science.

Standard 5: Technology - Students will apply technological knowledge and skills to design, construct, use and evaluate products and systems to satisfy human and environmental needs.

Standard 6: Interconnectedness: Common Themes - Students will understand the relationships and common themes that connect mathematics, science, and technology and apply the themes to these and other areas of learning.

Standard 7: Interdisciplinary Problem Solving - Students will apply the knowledge and thinking skills of mathematics, science, and technology to address real-life problems and make informed decisions.

40 WEEKS - 1 CREDIT (School Exam)

Grades: 9, 10, 11

Prerequisite: Math 8

A one-year course that includes logic, algebraic operations at a fundamental level, problem-solving, geometry, coordinate geometry, equation solving, probability, and statistics.  The graphing calculator is used both to visualize and solve concepts.  This course covers two-thirds of the Math A curriculum. The pace is geared for completion of the Math A curriculum in three semesters.

40 WEEKS - 1 CREDIT (State MATH A exam in January & School Exam in June)

Grades: 10, 11, 12

Prerequisite: Math A3.1/A3.2

This course extends the topics begun in Math A3.1/A3.2 with emphasis on mathematical systems, Euclidean geometry, analytic geometry, solutions of quadratic equations, probability, permutations, combinations, logic, and transformations.  The MATH A exam is offered in January and repeated again in June.  This is the last third of the Math A curriculum and the first third of the Math B curriculum. The pace is geared for completion of the Math B curriculum in three semesters.

40 WEEKS - 1 CREDIT (State MATH B exam in June)

Grades: 10, 11, 12

Prerequisite: Math A3.3/B3.1

The third step of the advanced regents sequence in mathematics.  It builds on the concepts developed in Math A3.1/A3.2 and Math A3.3/B3.1.  Reviewing algebra and real numbers, the program includes complex numbers.  Relations and functions are studied leading to an understanding of circular functions, the geometry of the circle, and trigonometry.  The statistics and probability of Math A3.3/B3.1 is expanded in theory and application, including binomial probability distribution.  This is the last two-thirds of the Math B curriculum.

40 WEEKS - 1 CREDIT (School Exam)

Grades: 9, 10, 11

Prerequisite: Math 8

A one-year course that moves at a slower pace than the Math A3.1/A3.2 course.  The first year of the 2 year sequence of the Math A curriculum, it includes logic, algebraic operations at a fundamental level, problem-solving, geometry, coordinate geometry, equation solving, probability, and statistics.  The graphing calculator is used both to visualize and solve concepts.  This course covers half of the Math A curriculum. The pace is geared for completion of the Math A curriculum in four semesters.

40 WEEKS -1 CREDIT (State MATH A exam in June)

Grades: 9, 10, 11

Prerequisite: Math A4.1/A4.2

A one-year course that completes the Math A curriculum and culminates in the Math A exam in June.  It includes logic, algebraic operations, problem-solving, geometry, coordinate geometry, equation solving, probability, and statistics at an intermediate level.  The graphing calculator is used both to visualize and solve concepts.  This course covers the last half of the Math A curriculum. The pace is geared for completion of the Math A curriculum in four semesters.

40 WEEKS - 1 CREDIT (School Exam)

Grades: 11,12

Prerequisite: Passing Math A

A one-year course that moves at a slower pace than the Math B course.   This is the first year of a 2 year sequence of the Math B curriculum It includes reviewing algebra and real numbers, the program includes complex numbers.  Relations and functions are studied leading to an understanding of circular functions, the geometry of the circle, and trigonometry.  Statistics and probability is expanded in theory and application, including binomial probability distribution.  The graphing calculator is used both to visualize and solve concepts.  This course covers 1/2 of the Math B curriculum. The pace is geared for completion of the Math B curriculum in 4 semesters.

40 WEEKS - 1 CREDIT (State Math B Exam in June)

Grades: 11 or 12

Prerequisite: Math  B4.1/B4.2

A one-year course that completes the Math B curriculum and culminates in the Math B exam in June.  It includes complex numbers, relations and functions and their connection to circular functions, the geometry of the circle.  Statistics and probability is extended in theory and application, including binomial probability distribution.  There is heavy emphasis on trigonometry with much memorization of formulas and facts.  The graphing calculator is an integral part of this course.  This course covers the last 2 of the Math B curriculum.

20 WEEKS - NON-CREDIT BEARING COURSE (Math A exam in January)

Grades:  11, 12

Prerequisites:  unsuccessful in Math A regents exam

This course prepares the students for the Math A regents exam in January.  Math A Prep reviews the content of the Math A syllabus in one semester with added emphasis on old Math A exams.  The Math A exam is a requirement for graduation.

40 WEEKS - 1 credit (Computer labs, projects, & school exam)

Grades:  11 & 12

Prerequisites:  Math A3.1/A3.2 and A 3.3/B3.1

Students will collect, organize, analyze, represent, and interpret numerical information from data.  The course will consist of class lectures and hands-on computer lab presentations.  Both statistical calculators and data analysis computer programs using Excel will be interwoven into the curriculum.  Topics will include Mean, Median, Mode, Standard Deviation, Normal curve, Z-scores, t-scores, Hypothesis Testing, linear regression, and Chi-square tests to name a few.

40 WEEKS - 1credit (School exam)

Grades:  11, 12

Prerequisite:  Math B3.2/B3.3

This course is designed to prepare the student for College Mathematics.  Content reflects current Computer Age thinking on the need for Discrete Math while at the same time retaining the conceptual completeness of mathematics, which leads to Calculus.  In depth problem solving is provided throughout the year with a class-lab feature.  There is much emphasis on the use of the graphing calculator.  Topics include: real and complex number analysis, elementary, polynomial, rational, exponential, logarithmic, and transcendental functions, matrices, determinants, derivatives & limits.

40 WEEKS - 1 credit (final exam / AP Exam)

Grade:12 only

Prerequisite: Recommendation and Pre-Calculus

This course offers students a comprehensive study in calculus through investigation into topics such as analytic geometry, derivatives, limits, and integrals.  Much emphasis is placed on memorization of formulas and keen graphing calculator skills.  Students are encouraged to form study groups to further simulate the college experience.   College credit may be obtained with the successful completion of the Advanced Placement Exam in May.

40 WEEKS - 1 credit ( school exam in June)

Grades: 11 & 12

Prerequisite: Students must have successfully completed two years of math AND passed the Regents Math A exam.

This class is designed to extend the knowledge learned in the Math A curriculum while incorporating technology, manipulatives, and real-world applications.  It is designed to answer the question, "When in my life am I ever going to use this?"  Students will be graded by projects and labs.  The final assessment will be a teacher-generated final project.

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