MATHEMATICS

Mrs. Roberta Grieco, 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 (7A)

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: 90+ in Math 7A
Credit: 1
Weight = 1.04
Final examination: NYS Integrated Algebra 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.

MATHEMATICS – High School

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 Integrated Algebra 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

Prerequisite: 90 + in Algebra 1 H-8/H
Credit: 1
Weight = 1.08
Final examination: department-developed exam AND NYS Geometry exam in June

The content of this course is the same as Math 321. Since this is an honors level course, the scope and depth of the work is considerably more difficult.

321 - GEOMETRY/R

Prerequisite: Successful completion of Algebra 1
Credit: 1
Weight = 1.00
Final examination: Department-developed exam AND NYS Geometry exam in June

Students in this course will expand their algebraic base and study the essential topics of geometry. Topics include: logic, introduction to proofs, similar and congruent triangles, parallel and perpendicular lines, coordinate geometry, quadrilaterals, polygons, three-dimensional geometry, geometry of the circle, locus and constructions.

324 - TRIGONOMETRY/H (ALGEBRA 2 with TRIGONOMETRY/H)

Prerequisite: 90 + in Course 314
Credit: 1
Weight = 1.08
Final examination: Department-developed exam AND NYS Trigonometry 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 Geometry/R
Credit: 1
Weight = 1.00
Final examination: Department-developed exam AND NYS Trigonometry 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: 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.

341 - (High School) CALCULUS

Prerequisite: 80+ in Math 331
Credit: 0.5
Weight = 1.00
Final examination: teacher-developed exam in May

Students in this course will be covering topics involving limits, continuity, differentiation, and applications of differentiation.

345 - Math 12

Prerequisite: Pass the course in Math 331
Credit: 1
Weight = 1.00
Final examination: teacher-developed exam in May

Students in this course will study a variety of mathematical topics and concepts. Topics include: working with whole numbers, decimals and fractions; integrated algebra; probability and statistics.

346 - AP CALCULUS (AB) {AP exam required}

Prerequisite: 90+ in Math 341 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 Math 341 or 331w/teacher recommendation
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.

350 - HVCC Precalculus

Prerequisite: Successful completion of Math 324 /331
Credit: 0.5
Weight =1.12
Final examination: HVCC department exam in May

Students in this course will study topics of HVCC Precalculus. Topics include analyzing functions, polynomial and rational functions, exponential and logarithmic functions, trigonometry, analytic trigonometry, systems of equations and inequalities, matrices, sequences, and analytic geometry.

716 - HVCC Calculus 1

Prerequisite: 90+ in Math 331 and teacher approval Weight: 1.12
Credit: 0.5

Final examimation: HVCC department exam in May Students in this course will study topics of HVCC Calculus 1. Topics include limits, continuity, differentiation, applications of differentiation, integration of elementary functions, simple differential equations, and applications of integration.

733 - Statistics

Prerequisite: Successful completion of Math 331 Weight: 1.00
Credit: 1
Final Examination: teacher developed exam in June

Students in this course will receive a thorough introduction in statistics that emphasizes statistical thinking. Students will be exposed to four basic themes of statistics: analyzing data, producing data, chance, and inferences. Topics that will be covered will include: describing and modeling distributions of data, describing relationships, sampling and surveys, designing experiments, probability, and statistical inference.