Mathematics

To graduate and earn a Regents Diploma: Students entering grade 9 must earn three math units of credit and a grade of 65 percent or better on the Common Core Algebra 1 Regents exam.

To graduate and earn a Regents Diploma with Advanced Designation: Students must have a grade of 65 percent or better on the Common Core Algebra 1 Regents exam AND the Common Core Geometry Regents exam AND the Common Core Algebra 2 Regents exam.

Colleges prefer students to have taken 4 years of math in high school.
New York State asserts that for students to be college and career ready they should take 4 years of math in high school.

College Bound Athletes: Students planning to attend an NCAA school must choose from an approved list of courses. Please see your guidance counselor for more information.
 
We use calculators every day in most of our math courses.  The best calculator to invest in would be a TI-84. 

ALGEBRA

CC ALGEBRA – ACADEMIC INTERVENTION SERVICES (AIS)

No Credit
Algebra AIS is offered for the student who has not achieved a score of proficiency on the Common Core Algebra 1 Regents exam. This math class is non-credit pass/fail where students meet on either A or B days. The purpose of the class is to give concentrated and individualized targeted instruction directed towards the Common Core Algebra 1 Regents exam. Students MUST pass the Common Core Algebra Regents exam in order to earn a NYS Regents diploma.

COMMON CORE ALGEBRA R

1 Unit of Credit
This is a one year course preparing students for the Common Core Algebra Regents exam. The topics include quantities and reasoning with equations and their graphs, descriptive statistics, linear and exponential functions, polynomial and quadratic expressions, equations and functions, and a synthesis of modeling with equations and functions. The Common Core Algebra Regents Exam will be given at the end of the year. Students MUST pass this course to move on to Common Core Geometry or Common Core Geometry R. Students must take the Common Core Algebra Regents exam in June. Students must pass the Common Core Algebra Regents exam to earn a NYS Regents diploma.

COMMON CORE ALGEBRA L

1 Unit of Credit
This is the first year of a two year program preparing students for the Common Core Algebra Regents exam. This course will meet for two periods per day and is designed to give students extra time to strengthen their overall mathematical background as required by academic intervention services. The topics include relationships between quantities and reasoning with equations and their graphs, descriptive statistics, and linear and exponential functions. Students MUST pass this course to move on to Common Core Algebra LR.

COMMON CORE ALGEBRA L-R

1 Unit of Credit
This is the second year of a two year program preparing students for the Common Core Algebra Regents exam. The topics include linear and exponential functions, polynomial and quadratic expressions, equations and functions, and a synthesis of modeling with equations and functions. The Common Core Algebra Regents exam will be given at the end of the year. Students MUST pass this course to move on to Financial Algebra or Common Core Geometry or Common Core Geometry R. Prerequisite: Credit in Common Core Algebra L. Extenuating circumstances must be approved by the department chair.

FINANCIAL ALGEBRA

1 Unit of Credit
This is a one year course designed for students as an option for a third unit of mathematics credit. The course employs algebra, pre-calculus, probability and statistics, calculus and geometry to solve financial problems that occur in everyday life. Real-world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting and planning for retirement are solved by applying the relevant mathematics. Field projects, computer spreadsheets, and graphing calculators are key components of the course.
Prerequisite: Credits in Common Core Algebra L and Common Core Algebra LR. A student who has taken any level of Geometry will NOT be allowed to take this course to fulfill their math credit requirement but may take it as an elective credit. Extenuating circumstances must be approved by the department chair.

COMMON CORE ALGEBRA 2

1 Unit of Credit
This is a one year course for the student who has passed Common Core Geometry. The topics include rational expressions, rational, irrational and complex numbers, quadratic equations and functions, sequences and series, relations and functions, exponents and exponential functions, logarithms, an introduction to trigonometry, and trigonometric graphs. A cumulative local final exam will be given at the end of the year.
Prerequisite: Credits in Common Core Algebra and Common Core Geometry and a passing score on an Algebra Regents exam. Extenuating circumstances must be approved by the department chair.

COMMON CORE ALGEBRA 2 R

1 Unit of Credit
This is a one year course preparing students who have passed Common Core Geometry R for the Common Core Algebra 2 Regents exam. The topics include polynomial, rational, and radical relationships, trigonometric functions, functions, and inferences and conclusions from data. The Common Core Algebra 2 Regents exam and will be given at the end of the year. Students MUST pass this course to move on to Pre-Calculus.
Prerequisite: Credits in Common Core Algebra and Common Core Geometry and passing scores on the Common Core Algebra and Common Core Geometry Regents exams. Extenuating circumstances must be approved by the department chair.

COMMON CORE ALGEBRA 2 AD

1 Unit of Credit
This is a one year course preparing students for the Common Core Algebra 2 Regents exam. The topics include polynomial, rational, and radical relationships, trigonometric functions, functions, and inferences and conclusions from data. The topics will be more extensively covered and the degree of difficulty of the problems increases from Common Core Algebra 2 R. The Common Core Algebra 2 Regents exam will be given at the end of the year. Students MUST pass this course with a grade of 88 or better to move on to College Algebra & Trig and must meet the requirements of SUNY Orange, including a minimum grade on the Regents exam, to qualify to take College Algebra and Trig for SUNY Orange college credit.
Prerequisite: Grade of 88 in Common Core Geometry AD and passing scores on the Algebra Regents exam and the Geometry Regents exam. Extenuating circumstances must be approved by the department chair.

GEOMETRY

COMMON CORE GEOMETRY

1 Unit of Credit
This is a one year course for the student who has passed the Algebra Regents. The topics include fundamentals of congruence, analytic proof and constructions, connecting Algebra and Geometry through coordinates, and circles with and without coordinates. A local final exam will be given at the end of the year. Students MUST pass this course to move on to Common Core Algebra 2 or Common Core Geometry R.
Prerequisite: Credit in Common Core Algebra R OR Credits in Common Core Algebra L and Common Core Algebra LR. Extenuating circumstances must be approved by the department chair.

COMMON CORE GEOMETRY R

1 Unit of Credit
This is a one year course preparing students for the Common Core Geometry Regents exam. The topics include congruence, proof and constructions, similarity, proof and trigonometry, connecting Algebra and Geometry through coordinates and circles with and without coordinates. The Common Core Geometry Regents will be given at the end of the year. Students MUST pass this course to move on to Common Core Algebra 2 or Common Core Algebra 2 R.
Prerequisite: Credit in Common Core Algebra R, a passing score on the Common Core Algebra Regents exam, and teacher recommendation. Extenuating circumstances must be approved by
the department chair.

COMMON CORE GEOMETRY AD

1 Unit of Credit
This is a one year course preparing students for the Common Core Geometry Regents exam. The topics include congruence, proof and constructions, similarity, proof and trigonometry, connecting Algebra and Geometry through coordinates and circles with and without coordinates. The topics will be more extensively covered and the degree of difficulty of the problems increases from Common Core Geometry R. The Common Core Geometry Regents will be given at the end of the year.
Students MUST pass this course with an 88 to move on to Common Core Algebra 2 AD.
Prerequisite: Grade of 90 in Algebra AD and a passing score on the Common Core Algebra Regents exam. Extenuating circumstances must be approved by the department chair.

ELECTIVES and ADVANCED CLASSES

PROBABILITY and STATISTICS

1 Unit of Credit
This course is designed to provide the student with an understanding of the persuasiveness of probability and statistics in today’s society and the means to use the concepts and formulas to problem solve. Topics included are data collection techniques, calculating probabilities, data distributions, hypothesis testing, regression and analysis, expected values, conditional probability, binomial and normal distribution, data analysis (random sampling and sampling distribution), and measures of association. Examples may come from analysis of random events, games of chance, and economic cycles. These fundamental concepts of statistical theory with an applied approach is designed to create savvy “statistical consumers”, able to understand, evaluate, and analyze quantitative evidence presented in the media on issues relevant to citizens in our society today. A local final exam will be given at the end of the year. This course is an elective and will not count towards the 3 required credits in mathematics for graduation.
Prerequisite: Credit in Geometry R OR Algebra 2 (any level). Extenuating circumstances may be approved by the department chair.

INTRODUCTION TO COMPUTER TECHNOLOGY

.5 Unit of Credit
This is a one semester course and is the first course students take in preparation for taking future computer programming or additional technology courses. Topics include computer fundamentals, applications, and communications. Students will use the internet for research, Alice program for 3-D animation, word processing, spreadsheet database, and presentation software. There is a local final exam given at the end of this course.

AP COMPUTER SCIENCE PRINCIPLES

1 Unit of Credit
The AP Computer Science Principles course is designed to be equivalent to a first-semester introductory college computing course. In this course, students will develop computational thinking skills vital for success across all disciplines, such as using computational tools to analyze and study data and working with large data sets to analyze, visualize, and draw conclusions from trends. The course engages students in the creative aspects of the field by allowing them to develop computational artifacts based on their interests. Students will also develop effective communication and collaboration skills by working individually and collaboratively to solve problems, and will discuss and write about the impacts these solutions could have on their community, society, and the world.
Prerequisite: Credit in Algebra (Algebra R OR Algebra L and Algebra LR). A sophomore taking this course must have completed Intro to Computer Technology. Extenuating circumstances may be approved by the department chair.

COLLEGE PREP MATH

1 Unit of Credit
This is a full year course designed for the student who has successfully completed CC Algebra 2 and is not enrolled in Pre-Calculus or Calculus, but who desires instruction which will help prepare the student for college entrance exams in mathematics. The topics include trigonometry and college algebra topics including radicals, solving and graphing systems of equations, quadratics, algebraic fractions, logarithms, and functions. A local final exam will be given at the end of the year.
Prerequisite: Credit in Common Core Algebra 2. Extenuating circumstances must be approved by the department chair.

COLLEGE ALGEBRA and TRIGONOMETRY

1 Unit of Credit
This is a full year pre-calculus course. The topics include extensive work with functions, transformation of graphs, rational roots of polynomials, finite sequences and series, trigonometry, analytic geometry, factoring methods, conic sections, polar coordinates, and complex numbers. The topics will be covered more extensively, to a greater degree of difficulty, and at a faster pace than in Pre-Calculus. A SUNY Orange final exam will be given at the end of each semester and a local cumulative final exam will be given at the end of the year. Students MUST pass this course to move on to AP Calculus (AB). To qualify to enroll in College Algebra and College Trig through SUNY Orange students must meet the requirements of SUNY Orange, including a minimum score on the CC Algebra 2 Regents exam. Those students will receive 3 college credits for EACH course upon successful completion (possible 6 credits).
Prerequisite: Credit in Algebra 2 AD and passing scores on the Common Core Algebra, Geometry and Algebra 2 Regents exams. Students who took Pre-Calculus in their junior year may also enroll in this course in their senior year. Extenuating circumstances must be approved by the department chair.

PRE-CALCULUS

1 Unit of Credit
This is a full year pre-calculus course. The topics include complex numbers and transformations, vectors and matrices, rational and exponential functions, trigonometry, and probability and statistics. A local final exam will be given at the end of the year.
Prerequisite: Credit in Common Core Algebra 2 R. Extenuating circumstances must be approved by the department chair.

ADVANCED PLACEMENT CALCULUS (AB)

1 Unit of Credit
This is a full year calculus course. It is equivalent to at least one semester of college calculus. The theoretical and practical topics include limits, continuity, applications of derivatives, such as, related rates, max-min problems and rectilinear motion, and integrals and their applications, such as, area under a curve and volume of revolution. Other topics include slope fields, exponential, logarithmic, and trigonometric functions. A lo