MATHEMATICS
Mr. Joseph Slichko, Chair
361 - MATHEMATICS 6
Prerequisite: none
Weight = 1.00
Final examination: none
Students in this course will focus on problem-solving strategies for lifelong learning. Whole numbers, fractions, and decimals will be presented throughout this course. These topics will be integrated into the topics of early algebra and geometry. The use of technology and manipulatives will also be an integral part of this course.
371 - MATHEMATICS 7
Prerequisite: successful completion of Math 6
Weight = 1.00
Final examination: departmental exam
Students in this course will develop a further understanding of basic algebra. Topics include: operations with whole numbers, using variables, the decimal system, geometric figures, number theory, fractions, solving equations, percent, areas and volumes, integers and graphs, and statistics and probability.
374 – PREALGEBRA
Prerequisite: placement exam mathematics 90th +% AND 90’s + in 6th grade math.
Weight = 1.04
Final examination: teacher-developed exam
This is an advanced mathematics course designed for students who have both the facility to master upper level math and the drive to complete the program with AP Calculus in the senior year. Students in this course will study all of the topics of a first year algebra course plus additional topics. Topics include: connections to algebra, properties of real numbers, solving linear equations, graphing linear equations and functions, writing linear equations, solving and graphing linear inequalities, systems of linear equations and inequalities, exponents and exponential functions, quadratic equations and factoring, polynomials and factoring, rational equations and factoring, radicals, and connections to geometry. Emphasis will be placed on algebraic applications.
381 - MATHEMATICS 8
Prerequisite: successful completion of math 7
Weight = 1.00
Final examination: departmental exam
Students in this course will focus on expanding the concepts of algebra. Topics include: types of numbers, operations, ratios and proportions, algebra, introduction to geometry, measurement and construction, polygons and circles, perimeter, area and volume, graphs and coordinates, symmetry and transformations, data and statistics, probability, and logic and Venn diagrams.
384 – ALGEBRA 1/H
Prerequisite: 85 + in Math 7A
Credit: 1
Weight = 1.04
Final examination: NYS Mathematics A exam in June.
This is an advanced mathematics course. Students in this course will study all of the topics of a second year algebra course. Topics include: reviewing equations and inequalities, analyzing linear equations and functions, solving systems of linear equations and inequalities, using matrices and determinants, exploring quadratic functions, using polynomials and polynomial functions, using powers, roots and radicals, exploring exponential and logarithmic functions, using rational equations and functions, exploring quadratic relations and conic sections, using sequences and series, probability and statistics, exploring trigonometric ratios and functions, and exploring trigonometric graphs, identities and equations. Emphasis will be placed on algebraic applications. Students will use manipulatives and technology throughout the course.
NOTE: students are required to take any regents exams appropriate to the course being taken.
311 – ALGEBRA 1
Prerequisite: successful completion of Math 8
Credit: 1
Weight = 1.00
Final examination: department-developed exam AND NYS Math A exam in June).
Students in this course focus on seven key categories developed in the NYS Standards for Education: mathematical reasoning, number and numeration, operations, modeling/multiple representation, measurement, uncertainty, and patterns/functions.
314 – “GEOMETRY / H” (INTERMEDIATE ALGEBRA with GEOMETRY/H)
Prerequisite: 85 + in Math A-8/H
Credit: 1
Weight = 1.08
Final examination: department-developed exam
Students in this course will expand their algebraic base and study the essential topics of geometry. Topics include: algebra, the real number system, complex numbers and quadratics, introduction to proofs, congruent triangles, parallel and perpendicular lines, quadrilaterals, similar triangles, and coordinate geometry.
321 – “GEOMETRY/R” (INTERMEDIATE ALGEBRA with GEOMETRY/R)
Prerequisite: Successful completion of Algebra 1
Credit: 1
Weight = 1.00
Final examination: department-developed exam
Students in this course will expand their algebraic base and study the essential topics of geometry. Topics include: algebra, the real number system, complex numbers and quadratics, introduction to proofs, congruent triangles, parallel and perpendicular lines, quadrilaterals, similar triangles, and coordinate geometry.
324 – “TRIGONOMETRY/H” (ALGEBRA 2 with TRIGONOMETRY/H)
Prerequisite: 85 + in Course 314
Credit: 1
Weight = 1.08
Final examination: NYS Mathematics B exam in June.
The content of this course is the same as course # 331. However, since it is an honors level course, the scope and depth of the work is considerably more difficult.
331 – “TRIGONOMETRY/R” (ALGEBRA 2 with TRIGONOMETRY)
Prerequisite: pass the course in Math B-1
Weight = 1.00
Final examination: NYS Mathematics B exam in June.
Students in this course will study advanced algebraic topics, expand their geometric base, and study the essential topics of trigonometry. Topics include: the geometry of the circle, absolute value, relations and functions, transformations, exponential functions, logarithmic functions, regressions, trigonometric functions, trigonometric graphs, trigonometric applications, trigonometric identities and equations, binomial theorem and probability, and statistics. Upon completion of this course, students are expected to take the New York State Mathematics B Regents Exam which leads to an Advanced Regents Diploma.
333 - INTERMEDIATE ALGEBRA
Prerequisite: none
Credit: 1
Weight = 1.00
Final examination: teacher-developed exam
This course does not fulfill the math requirement for the NYS advanced designation diploma
Students in this course will further expand and develop the fundamental concepts and operations of elementary algebra. Topics include: concepts of elementary algebra, introduction to graphs and functions, linear functions, equations and inequalities, systems of linear equations and inequalities, radicals and complex numbers, quadratic functions, equations, and inequalities, rational expressions and functions, conic sections, exponential and logarithmic functions and equations, and sequences, series and the binomial theorem.
334 - (High School) CALCULUS / H
Prerequisite: 85+ average in course 324
Credit: 1
Weight = 1.08
Final examination: teacher-developed exam in June
Students in this course will spend the first half of the course reviewing the essentials of Mathematics A and Mathematics B. Topics include: review algebra, linear equations and functions, simultaneous linear equations, logarithms, exponential functions, quadratic functions in one variable, trigonometry, and solutions of the triangle. The second half of the course includes analytic geometry and basic calculus.
341 – (High School) CALCULUS
Prerequisite: 80+ in Math 331
Credit: 1
Weight = 1.00
Final examination: teacher-developed exam in May
Students in this course will spend the first half of the course reviewing the essentials from Mathematics A and Mathematics B. Topics include: review algebra, linear equations and functions, simultaneous linear equations, logarithms, exponential functions, quadratic functions in one variable, trigonometry, and solutions of the triangle. The second half of the course includes analytic geometry and basic calculus. Topics include: the conic sections and analysis and applications of differential and integral calculus to algebraic and selected transcendental functions.
343 – PRECALCULUS /S
Prerequisite: none
Weight = 1.00
Final examination: teacher-developed exam in May
Designed to bring students entering college, who need to strengthen their background in basic mathematics, up to a common level of proficiency in preparation for further work in mathematics, as well as for work in areas involving applications of basic mathematics such as business, statistics, or computer science. Topics will give the student practice in problem solving and include: concepts of intermediate algebra, functions and their graphs, intercepts, zeros and solutions, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, matrices and determinants, sequences, series and probability, conics and parametric equations.
344 – College-level CALCULUS
[Prerequisite: Successful completion of 341 (high school Calculus) or teacher recommendation.]
This standard course in Calculus is intended to complete the 5 year sequence in Mathematics. While it is taught at a college level, it is intended for those who, for one reason or another, would not be compatible with the intensity Calculus taught at the AP level. School credit is awarded. This course does not prepare students for the Advanced Placement exam. A school exam is given at the end of each semester.
346 - AP CALCULUS (AB) {AP exam required}
Prerequisite: 85+ in Precalculus/H and teacher approval
Weight = 1.12
Final examination: AP Calculus AB exam in May
Students in this course will study topics in differential and integral calculus. After a review of the essentials of calculus, the concept of limit is introduced leading to a study of continuity and differentiation. Applications of the derivative in optimization, related rates, and curve sketching for algebraic, trigonometric, exponential, and logarithmic functions will be followed by an introduction to integration and simple applications.
348 – AP STATISTICS {AP exam required}
Prerequisite: Successful completion of Precalculus
Weight = 1.12
Final examination: AP Statistics exam in May
Students in this course will receive a comprehensive introduction to probability models and statistical methods for analyzing data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. Topics include: probability, random variables (discrete and continuous), probability distributions, joint probability and random samples, hypothesis testing, interval estimation, linear regression, and correlation.
