Goshen High School contact information

Robert McKiernan
Principal, grades 9-12

222 Scotchtown Ave.
Goshen, NY 10924
(845) 615-6100

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Central School District

Mathematics Courses

Algebra I

Grade 9 - Full year - One credit

This is the first course of the New York State high school mathematics curriculum. The core of this course is a solid introduction to the principles and techniques of Algebra. Some topics covered include problem solving, solving and graphing linear equations and inequalities, solving and graphing quadratics, factoring, operations with polynomials, and statistics. Students will take the Algebra Regents exam at the conclusion of the course. Graphing calculator use will be introduced throughout the year.

Geometry

Grade 10 - Full year - One credit

This is the second course of the New York State mathematics curriculum. A solid foundation of geometric concepts will be developed through coordinate, Euclidian, analytical and transformational geometry. Other topics covered include proofs, parallel lines, congruent triangles and properties of circles. This course completes the topics covered on the NYS Geometry Regents exam. Graphing calculator use will be introduced throughout the year.

Geometry-A

Grades 10-11 - Full year - One credit

This course is the first year of a two year program which is designed for students who need to build a foundation for Geometry. Students will cover approximately half of the Geometry topics this year and then the remaining topics in Geometry B. Graphing calculator use will be introduced throughout the year.

Geometry-B

Grades 11-12 - Full year - One credit

This course is designed for students who have completed Geometry A. Students will review material from Geometry A as well as learn the rest of the Geometry topics. This course completes the topics covered on the NYS Geometry Regents exam. Graphing calculator use will be introduced throughout the year.

Geometry Honors

Grade 11/12 - Full year - One credit

This course is designed for the accelerated mathematics student. All the topics in the Geometry curriculum are covered in greater depth, as well as additional enrichment topics. Graphing calculator use will be introduced throughout the year. All students requesting an Honors level class will need to meet the criteria determined by the math department. 

Algebra 2

Grade 11 - Full year - One credit

This is the third course of the New York State mathematics curriculum. Mathematical concepts are extended in the areas of rational expressions, radical expressions, transformations, geometry, probability, and statistics. Also provided is the study of complex numbers, relations and functions including composition, inverse, exponential functions, logarithmic functions, and the trigonometric functions. Graphing calculators will be used throughout the year. Students will take the NYS Algebra 2 Regents exam upon completion of this course.

Algebra 2 & Trig Topics

Grades 11-12 - Full year - One credit

This course is designed for the student who needs a foundation in Algebra 2 & Trig. Key concepts from the NYS curriculum will be taught in depth throughout the year. Topics include advanced algebra, simplifying rational expressions and radicals, solving rational equations, trigonometry, logarithmic functions and exponential functions. Graphing calculators will be used throughout the year. 

Algebra 2 Honors

Grade 10 - Full year - One credit

This course is the second year of the high school accelerated math program. The topics covered include those of Algebra 2 but in greater depth. Concepts are extended and advanced topics are presented. Graphing calculators will be used throughout the year. All students requesting an honors level class will need to meet the criteria determined by the math department.

Pre-Calculus

Grade 12 - Full year - One credit

This course is designed to prepare students for college level math courses. Topics include: functions and their graphs, graphing complex numbers, trigonometry with applications, and limit theory. Emphasis is placed on graphing rational and trigonometric functions. Matrix operations and the use of matrices to solve systems of equations will also be studied. Graphing calculators will be used as an enrichment tool throughout the year.

Pre-Calculus Honors

Grade 11 - Full year - One credit

This course is designed to prepare students for a course in Calculus. It is the third year of the accelerated math program. Topics covered are those of Pre-calculus; however, concepts are extended and studied in greater depth. Conic sections and polar graphing will also be studied. Graphing calculators will be used as an enrichment tool throughout the year. All students requesting an honors level class will need to meet the criteria determined by the math department.

Pre-Calculus Topics

Grade 12 - Full year - One credit

This course is designed for students who need a foundation in pre-calculus. Select topics will be taught throughout the year, including advanced trigonometry, solving and graphing polynomial and rational functions and limit theory. Graphing calculators will be used as an enrichment tool throughout the year.

Calculus AP

Grade 12 - Full year - One credit

This course is a college level course in Calculus of a single variable. Topics covered will include functions, limit theory, differential Calculus, integral Calculus and applications. In May, students will take the Advanced Placement Calculus AB examination. After the AP examination and before the conclusion of the school year, students will continue learning assorted Calculus 2 topics and will be responsible for a teacher-prepared final examination. Graphing calculators will be used as an enrichment tool throughout the year. All students requesting the AP Calculus course will need to meet the criteria determined by the math department.

Calculus

Grade 12 - Full year - One credit

This course is designed for students who wish to study Calculus but not at the pace of the Advanced Placement course. Topics include elementary functions, and limits, differential calculus, and integral calculus. Graphing calculators will be used as an enrichment tool throughout the year.

Statistics (SUNY Orange)

Grade 12 - One Semester1/2 credit

This course examines the general elements and principles of statistics. The course is broken into two parts; descriptive statistics and inferential statistics. Topics include: methods of summarizing and presenting data; measures of center, spread, and position; probability; binomial probability distribution; normal probability distribution; t-test; chi-square test; confidence intervals, hypothesis testing; and linear regression. Students taking this course must meet the criteria set up by SUNY Orange.