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The Mathematics Department
General Studies |
Mrs. Susan Brodsky - Chairperson The Mathematics department follows and extends the new New York State Regents curricula, taking into consideration each student’s background, interest and aptitude. Based upon their performance on standardized examinations and their eighth grade course of study, students are placed in the appropriate level of Algebra or Geometry, both of which culminate with a New York State Regents examination. Once students have successfully completed Geometry they will be placed in the appropriate level of Advanced Algebra/Trigonometry, the third and final course in the New York State Regents sequence. As we encourage our students to complete four years of Math, we offer several advanced math classes. Upon completion of Advanced Algebra/Trigonometry, students may choose to study Pre-Calculus or Advanced Placement Statistics, followed by Advanced Placement Calculus. Enrollment in Advanced Placement courses is with instructors’ approval. Algebra This course follows the New York State Regents curriculum, encompassing the following topics: operations on real numbers, number line, algebraic expressions, formulae, problem solving, logic, simple equations, polynomials, inequalities, graphing, ration and proportion, and measures of central tendency. Introductory concepts on probability and statistics are also covered. Solving systems of equations both algebraically and geometrically is mastered. Factoring and solving quadratic equations are also taught. There is a strong emphasis on problem solving and critical thinking. The use of graphing calculators is integrated within the course work. This course culminates in a New York State Regents examination. Geometry This course follows the New York State Regents curriculum, connecting the physical and visual world with the students’ knowledge of algebra. The major themes of this course are organized around Euclidean geometry. Students explore relationships among lengths, angles and measures such as area and volume, in figures of all kinds, especially polygons, circles and solids. Attention is given to geometric formulas, coordinate geometry, and the use of transformations to explore congruence, similarity and symmetry. Emphasis is placed on formal logic and its application to traditional deductive proof, both direct and indirect. This course culminates in a New York State Regents examination. Advanced Algebra/Trigonometry This course follows the new New York State Regents curriculum, beginning with a review and further study of the fundamental algebraic concepts, including properties of real numbers, solving linear and quadratic equations and inequalities, and the notion of functions. Students extend their knowledge of functions to include absolute value, exponential, logarithmic, radical, and rational functions. They are taught to represent functions in multiple ways (as verbal descriptions, equations, tables and graphs) and to understand how transformations affect their behavior. The concept of inverse functions, composition of functions and complex numbers are covered. In addition to these algebraic concepts, students will continue their study of probability and statistics/data analysis and will be introduced to sequences and series as well as the Binomial Theorem. This course culminates in a New York State Regents examination. Pre-Calculus This course offers preparation for college level mathematics. After a review of the major topics of algebra, it launches into a thorough coverage of graphical techniques, algebraic and geometric transcendental functions, as well as analytic geometry. Advanced Placement Statistics This honors course is an elective for students that have demonstrated an outstanding ability in mathematics through Advanced Algebra/Trigonometry. It is equivalent to a one semester introductory, non-calculus-based college course in statistics, and closely follows the Advanced Placement curriculum requirements. Many students taking Advanced Placement Statistics will also take college courses in business, engineering, education, or courses in physical, biological, behavioral, environmental and social sciences. This course is an excellent foundation for research and subsequent college work. Advanced Placement Calculus AB This honors course is an elective course for students who have demonstrated an outstanding ability in Mathematics. Calculus AB consists of a full year of work in differential and integral calculus and related topics. At the completion of the course in May, students take the Advanced Placement examination for credit and placement offered by most universities.
brodsky@yuhsg.org
Open to Juniors and Seniors
Open to Juniors and Seniors
