## The Mathematics Department

## Course Offerings

**Name of Course:**Pre-Algebra

**Length of Course:**40 Weeks

**Prerequisite:**Successful completion of 8th grade math

**Credits:**1

**Description:**Pre-Algebra is a course designed for 9th graders who need to learn many of the basic topics that are necessary for success in Algebra I. The three main components of this course consist of: 1) reviewing elementary and middle school topics, such as place value and exponents; 2) previewing Algebra I topics, such as proportions and the Pythagorean Theorem; 3) practicing each topic throroughly.

**Name of Course:**Algebra

**Length of Course:**40 Weeks

**Prerequisite:**Successful completion of 8th grade mathematics (Pre-Algebra)

**Credits: 1**

**Description:**Topics studied are algebra, probability and statistics. Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, algebra, data analysis, and probability. The Integrated Algebra regents is the final exam in this course.

**Name of Course:**Algebra 1

**Length of Course:**40 Weeks

**Prerequisite:**Successful completion of 8th grade mathematics (Pre-Algebra)

**Credits:**1

**Description:**Algebra I is designed for students who need additional time to master the skills and objectives of Algebra I. The basic algebra skills are covered and reinforced. The first 9 chapters of the algebra book are covered. It is the first year of the two year program.

**Name of Course:**Algebra 2

**Length of Course:**40 Weeks

**Prerequisite:**Successful Completion of Algebra I

**Credits:**1

**Description:**This course is a continuation of Algebra I. All necessary skills and objectives are studied by the conclusion of this course. The Integrated Algebra Regents exam is the final exam for this course. This is the 2nd year of the two year Algebra program. The algebra topics are completed and probability and statistics are taught. An intensive review follows chapter 16. The Integrated Algebra regents is the final exam in this course.

**Name of Course:**Geometry

**Length of Course:**40 Weeks

**Prerequisite:**Successful Completion of Algebra or Algebra 1 and 2

**Credits:**1

**Description:**Geometry is the study of reasoning beginning with definitions, postulates and the laws of reasoning. The students will learn to apply the laws of logic to traditional deductive proofs in geometry, both direct and indirect. Traditional synthetic geometry, coordinate geometry transformations, concurrence theorems, solid geometry and algebraic skills. The Geometry regents is the final exam in this course.

**Name of Course:**Elements of Geometry

**Length of Course:**40 Weeks

**Prerequisite:**Successful Completion of Algebra

**Credits:**1

**Description:**Geometry is the study of reasoning beginning with definitions, postulates and the laws of reasoning. The students will learn to apply the laws of reasoning in Algebraic and practical situations. Traditional, synthetic geometry, coordinate geometry and transformational geometry is integrated throughout the text. Specific topics studied are coordinate geometry, transformations, concurrent theorems, solid geometry and algebraic skills. Proofs will not be studied in this course. There is a final exam in this course but not regents.

**Name of Course:**Geometry Honors

**Length of Course:**40 Weeks

**Prerequisite:**Successful Completion of Algebra 2S in 8th grade with at least an 85 average.

**Credits:**1

**Description:**Geometry is the study of reasoning beginning with definitions, postulates and the laws of reasoning. The students will learn to apply the laws of logic to traditional deductive proofs in geometry, both direct and indirect. Traditional synthetic geometry, coordinate geometry transformations, concurrence theorems, solid geometry and algebraic skills. The Geometry regents is the final exam in this course.

**Name of Course:**Trigonometry

**Length of Course:**40 Weeks

**Prerequisite:**Geometry A

**Credits:**1

**Description:**This is an integrated approach which builds and connects each concept. The primary emphasis is on operations, variables and expressions, equations and inequalities, trigonometric functions, patterns, functions and relations, coordinate geometry measurement, probability and statistics. Problem solving is emphasized throughout the course. The graphing calculator is used as a routine mathematical tool. The Trigonometry regents is the final exam in this course.

**Name of Course:**Elements of Trigonometry

**Length of Course:**40 Weeks

**Prerequisite:**Geometry or Elements of Geometry

**Credits:**1

**Description:**The topics will be similar to Trigonometry but at a slower pace, stressing the practicality of Algebra and trigonometry. A preparatory course for students going to college but weak in math.

**Name of Course:**Trigonometry Honors

**Length of Course:**40 Weeks

**Prerequisite:**Passing Geometry A with at least an 85 average.

**Credits:**1

**Description:**This is an integrated approach which builds and connects each concept. The primary emphasis is on operations, variables and expressions, equations and inequalities, trigonometric functions, patterns, functions and relations, coordinate geometry measurement, probability and statistics. A graphing calculator is required for this course.

**Name of Course:**Pre-Calculus Mathematics

**Length of Course:**40 Weeks

**Prerequisite:**Trigonometry (A passing grade on the Trigonometry regents)

**Credits:**1

**Description:**This course covers topics in advanced mathematics which will prepare a student for calculus. Topics covered include analytic geometry of lines, circles, and conics. A major emphasis is the area of elementary functions including quadratics, polynomials, inverses, exponentials, logarithms, circular, and trigonometric. A graphing calculator is needed for this course.

**Name of Course:**Pre-Calculus Honors

**Length of Course:**40 Weeks

**Prerequisite:**(A passing grade on the Trigonometry regents)

**Credits:**1

**Description:**This is an in depth curriculum with the purpose of preparing students for a course in AP or College Calculus. Topics covered include analytic geometry of lines, circles, and conics. A major emphasis is the area of elementary functions including quadratics, polynomials, inverses, exponentials, logarithms, circular, and trigonometric. A graphing calculator is needed for this course.

**Name of Course:**Statistics

**Length of Course:**40 Weeks

**Prerequisite:**Trigonometry

**Credits:**1

**Description:**Statistics is a course that deals with the collection, classification, analysis interpretation of information or data, drawing conclusions, and making predictions based on the data. It is appropriate for students pursuing majors in a wide variety of disciplines ranging from social sciences of psychology and sociology to areas such as education, the allied health fields, business, economics, engineering, the humanities, the physical sciences, journalism, communications, and liberal arts.

**Name of the Course:**Calculus (College Credit Paul Smiths)

**Length of Course:**40 Weeks

**Prerequisite:**Pre-Calculus or permission of Instructor

**Credits:**3 College Credits

**Description:**Calculus is a course in which mathematical relationships between variable quantities are explored. It is a tool of fundamental significance in all areas of science, engineering and applied mathematics. Included are basic concepts and transcendental functions of limits and continuity, differentiation of algebraic functions, implicit differentiation of algebraic functions, application of derivatives to curve sketching, related rates and maximum/ minimum problems, Riemann sums (indefinite integral) and the definite integral, and applications of integration to areas. This course allows for the use of a graphing calculator.