Mathematics

Topics in Algebra is designed to develop student conceptual understanding of skills and content reflective of essential learnings from grade 8 and the foundational standards necessary for Algebra I. This course will develop math skills and processes in effort to ensure success in Algebra I during the following academic year. Students enrolled in Topics in Algebra will participate in mid- and end-of-year assessments, but not the Algebra I Regents.

Algebra I is the first Regents mathematics course for high school students and ends with the Algebra Regents exam in June. This course will broaden mathematical knowledge while developing algebraic skills and processes that allow the student to use a variety of techniques to solve problems in a variety of settings. Successful completion of this course will result in one of the three math credits required for graduation.

This course is for students who have earned an algebra course credit but have not yet passed the Algebra I Regents exam. This course is designed to prepare students for successful completion of the Algebra I Regents through focus on connections between major topics such as solving equations and inequalities, systems of equations and inequalities, and an introduction to the family of functions.

This course provides students with broad exposure to the basic concepts of geometry and reinforces algebra skills such as solving equations and working with ratio and proportion. Geometry topics covered are angles and segments, triangles, transformations, quadrilaterals, congruence and similarity, trigonometry, solids and constructions. Upon successful completion of this course, students may continue to Regents-level geometry or an elective math class.

Geometry is the second course of the math Regents sequence for high school students who have passed Algebra and the Algebra I Regents. Topics covered will include congruence, similarity, trigonometry, volume, proofs, coordinate geometry and circles. Students enrolled in Geometry R participate in the Geometry Regents examination administered in June. Following this course, students move to Algebra II and/or a math elective.

Intermediate Algebra is a non-Regents college level course that addresses the principles of algebra and introductory trigonometry. Topics of study include operations with polynomials, first-degree equations, special products, factoring, algebraic fractions, exponents, radicals, quadratic equations, right angle trigonometry and graphing linear equations. Topics in addition to traditional Regents curriculum include matrices and systems of equations with three variables. Intermediate Algebra is a course suitable as a bridge course leading from Geometry to Algebra II. Students may take the course and earn three credits from Hudson Valley Community College.

Algebra II is the third course of the Regents math sequence leading to a Regents examination. The course includes an extension of the study of functions that started in Algebra I. It will include rational expressions, exponential and logarithmic functions, the complex number system, fundamentals of trigonometric functions and a basic study of probability and statistics. Successful completion of this course will count as one of the three math credits required for graduation. Passing the Regents exam is a partial requirement for the Advanced Regents Diploma.

This course is for students who have earned an algebra course credit but have not yet passed the Algebra I Regents exam. This course is designed to prepare students for successful completion of the Algebra I Regents through focus on connections between major topics such as solving equations and inequalities, systems of equations and inequalities, and an introduction to the family of functions.

This course meets the requirement for Mathematics diploma credit.

Business Math prepares students for the financial realities they will face in both personal and professional life. Topics include practical applications of arithmetic and algebra skills, such as budgeting, managing credit and understanding interest rates. Students will also learn how to analyze financial statements and apply mathematical concepts to solve everyday problems. The course emphasizes financial literacy to help students avoid common financial pitfalls. Upon completion, students will be equipped with valuable skills for managing their finances.

Math in Trades is designed to provide students with practical mathematics skills that can be applied to a variety of trade and technical areas. This can include the areas of nursing, construction, automotive, electrical, drafting and several other occupations. The emphasis of this course is to provide real-life problem solving opportunities for students that they can later apply to their occupation upon the completion of high school.

Practical Consumer Math is designed for students to gain practical math competence through real-world examples of situations that arise daily. Students will gain the knowledge to develop a budget, manage their finances and budget their paychecks on a daily basis for the duration of the course. They also will learn how to determine housing costs and monthly expenses; what knowledge is needed to manage a household effectively; how to read and interpret nutrition information on food packages along with using that nutritional information when planning meals; and how to make wise decisions when shopping or eating out. The emphasis of this course is to provide real-life problem solving skills for students that they can use after graduation. 

Forensic Math provides students with an examination of the mathematics of criminal investigation as dramatized in the hit CBS TV series NUMB3RS. Students will explore activities designed to develop data analysis and problem-solving skills and has been underwritten by Texas Instruments and the National Science Foundation. Course work will make extensive use of the graphing calculator and explore topics including models of growth and decay, kinematics, modeling, transformation of quadratic and trig functions, probability and statistics. Students with interest in forensics should be encouraged to enroll in both this course and SCI-00-0102 | Introduction to Forensic Science.

Advanced Business Math builds on fundamental math skills to and algebra skills through factoring trinomials and applies those skills to topics including ratio and proportion, percentages, simple interest, commercial discounts and purchases and present value. The course also covers business-specific concepts like income statement calculations and analysis will include sales, cost of goods sold, markup and operating expenses. Using practical examples and problem-solving exercises, students will gain the tools needed for financial decision-making in business settings. Students may earn college credits through Hudson Valley Community College. Tuition credit fees apply. Fee waiver or reduction may be available.

Accounting I prepares students to keep accurate financial records for a business. The complete accounting cycle is presented, and students learn the basic procedures used to operate a business. Using manual skills, students perform accounting tasks for service businesses organized as proprietorships and for merchandising businesses organized as partnerships. Students will learn how to construct main financial statements and get a foundation on which to continue studying business and accounting at the collegiate level.

Students will broaden and improve their knowledge, understanding and application of accounting principles. Students learn more advanced, complex accounting principles using manual and computer skills. Course includes budgeting, cost concepts and cost allocation, methods of depreciation and information related to operating, investing and financing activities. Students perform accounting tasks for merchandising businesses organized as partnerships and corporations. 

Precalculus is designed for students who will move into advanced levels of mathematics. However, it is not intended as a preparation for AP Calculus. It is expected that advanced Regents students may complete Precalculus as a fourth math credit, and that other college-bound students will elect this course. The course content includes analytic geometry, polar coordinates, advanced algebra, complex numbers and calculus. Students may take the course and earn four credits from Hudson Valley Community College. Tuition credit fees apply. Fee waiver or reduction may be available.

Calculus with Precalculus is designed for students who will move into advanced levels of mathematics including AP Calculus AB or BC. It is expected that accelerated Regents and strong, advanced Regents-level students will complete Calculus with Precalculus. Other college-bound students may elect this course as well. Calculus with Precalculus integrates precalculus topics into the concepts and techniques of Calculus I. This course will prepare students for Math 12 AP or college-level calculus. Students may take the course and earn four credits from Hudson Valley Community College. Tuition credit fees apply. Fee waiver or reduction may be available.

AP Calculus AB is a college-level course in calculus and related analytical geometry, including all topics ordinarily given in a college freshman mathematics course. It is designed to insure that the student will be able to take more advanced courses in mathematics and allied fields in college. Students who successfully complete this course will be prepared to take the Advanced Placement examination in Calculus AB; AP exam fee applies. Fee waiver or reduction may be available.

AP Calculus BC is a college-level course that covers the fundamentals of Calculus AB at a faster pace and includes additional topics such as parametric functions, polar functions, vector functions, and analysis of series. Students who successfully complete this course will be prepared to take the Advanced Placement examination in Calculus BC; AP exam fee applies. Fee waiver or reduction may be available.

IB Mathematics SL 2 is designed as both the second year in the IB Math sequence and as a preparation for AP Calculus AB or BC. The course includes a precalculus curriculum as well as elements of AP Statistics and AP Calculus. Precalculus topics include but are not limited to a mastery-level trigonometry unit, linear algebra, higher order polynomials and curve sketching, finite and infinite sequences. Calculus topics covered kinematics, slopes of tangents and normals, area under a curve and volume of revolution. Probability and statistics topics include binomial and normal distributions and probability theory. This is a very rigorous, inquiry-based course with an emphasis on concept development and connections between the curricular areas rather than procedure. This course leaves a student well-prepared to take an AP Calculus course or college calculus in the following year. Students will take an IB assessment in the spring as well as complete an independent research project. IB registration and exam fee applies; fee waiver or reduction may be available.

AP Statistics is a college-level course that introduces students to the concepts and tools necessary for collecting, analyzing and drawing conclusions from data. This course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics, and is heavily dependent on a graphing calculator and computer technology. This course will be useful for any student considering study in science, engineering, business, psychology or the social sciences. Students who successfully complete this course will earn three credits from Hudson Valley Community College (HVCC) through College in the High School. Tuition credit fees apply. Students may choose to take the AP Statistics exam to receive AP credit, but are responsible for learning AP material not covered in the UHS curriculum. Fee waiver or reduction may be available for the AP exam or HVCC tuition.