# Mathematics

The Mathematics Department is committed to expanding students’ understanding and appreciation of mathematics through a comprehensive, content-based plan that acknowledges and addresses differences in motivation, goals, ability, and learning styles. All students must complete three years of Mathematics and pass a Regents examination.

Course Offerings

Integrated Algebra - This is the first mathematics course in high school. The completion of this course -- 1 to 2 years -- depends on the entry level of the student.  Algebra provides tools and develops ways of thinking that are necessary for solving problems in a wide variety of disciplines such as science, business, and fine arts. Linear equations, quadratic functions, absolute value, and exponential functions are studied. Coordinate geometry is integrated into this course as well as data analysis, including measures of central tendency and lines of best fit. Elementary probability, right triangle trigonometry, and set theory complete the course. Students will take the Integrated Algebra Regents examination at the conclusion of this course.

Geometry - This is the second course in mathematics for high school students. In this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways that their conclusion follows logically from their hypothesis. Congruence and similarity of triangles will be established using appropriate theorems. Transformations including rotations, reflections, translations, and dilations will be taught. Properties of triangles, quadrilaterals and circles will be examined. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics. Students will take the Geometry Regents examination at the conclusion of this course.

Algebra 2 and Trigonometry - This is the third of the three courses in high school mathematics. In this course, the number system will be extended to include imaginary and complex numbers. Students will learn about polynomial, absolute value, radical, trigonometric, exponential, and logarithmic functions. Problem situations involving direct and indirect variation will be solved. Data analysis will be extended to include measures of dispersion and the analysis of regression models. Arithmetic and geometric sequences will be evaluated. Binomial expressions will provide the basis for the study of probability theory, and the normal probability distribution will be analyzed. Right triangle trigonometry will be expanded to include the investigation of circular functions. The course will conclude with problems requiring the use of trigonometric equations and identities. Students will take the Algebra 2 and Trigonometry Regents examination at the conclusion of this course.

AP Calculus AB - This is a full-year course in college-level calculus that culminates in the Advanced Placement (AB) examination.  Included is the study of functions, graphs, and limits, derivatives, applications of derivatives, integrals, applications of integrals, the fundamental theorem of calculus, anti-differentiation, applications of the anti-derivative, and slope fields.

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