# Math Courses

## Math Department

**RHHS Mathematics Courses**

*Algebra I: *

This is the first course in the New York State Mathematics sequence. This course will assist students in developing skills and processes to be applied using a variety of techniques to successfully solve problems in a variety of settings. Problem situations may result in all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Students will solve problems that require right triangle trigonometry. . The graphing calculator will be used as a tool to enhance instruction. The New York State Algebra I Regents exam will be administered in June.

Prerequisite(s): Math 8 Grade(s): 9

Credit: 1

Meets: 5 periods weekly

*Geometry: *

This is the second course in the New York State Mathematics sequence. Students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. Congruence and similarity of triangles will be established using appropriate theorems. Transformations including rotations, reflections, translations, and dilations and coordinate geometry will be used to establish and verify geometric relationships. A major emphasis of this course is to allow students to investigate geometric situations. It is intended that students will use the traditional tools of compass and straightedge as well as dynamic geometry software that models these tools. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics and something that sets it apart from the other sciences. The New York State Geometry Regents exam will be administered in June.

Prerequisite: Algebra 1 Grade(s): 9, 10

Credit: 1

Meets: 5 periods weekly

*Algebra II: *

This is the third course in the New York State Mathematics sequence. Students will build on their work with linear, quadratic, and exponential functions, and extend their repertoire of functions to include polynomial, rational and radical functions. Students will hone their abilities to model situations and solve equations, including quadratic equations, exponential equations and logarithmic equations. The Algebra 2 Regents exam will be administered in June. Prerequisite(s): Geometry Grade(s): 10, 11 , 12

Credit: 1

Meets: 5 periods weekly

*Business Math:*

This course is intended to extend on the foundation of the Algebra 1 course, and uses concepts from Algebra 2 and Geometry to Solve real world problems and use mathematics to describe financial situations. Thus, in addition to learning new mathematics, students will investigate how mathematics is actually used and found in the world around us, and explore potential careers that use the mathematics studied in this course. Students will discover that many careers in finance, banking and the corporate industry require a working knowledge of functions, modeling, and data analysis and that individuals who have this knowledge have an advantage over those who don't when it comes to career opportunities.

Prerequisite(s): Geometry Grade(s): 12

Credit: 1

Meets: 5 periods weekly

*Mathematical Finance:*

This course is intended to extend on the foundation of the Algebra 1 course and use concepts in Algebra 2 and Geometry to solve real world problems by using mathematics to plan for financial security. Thus, in addition to learning new mathematics, Students will investigate how mathematics is actually used for employment decisions, income taxes, budgeting and planning for retirement. Students will discover that many careers in finance, banking and the corporate industry require a working knowledge functions and data analysis and that individuals who have this knowledge have an advantage over those who don't when it comes to career opportunities.

Prerequisite(s): Geometry Grade(s): 12

Credit: 1

Meets: 5 periods weekly

*AP Calculus AB and BC:*

This course is taught with a heavy emphasis on inquiry with guided questioning, providing opportunities to understand definitions using examples and counterexamples, connecting real world applications by collaborating with other members of the class using algebraic, graphical and numerical techniques supported by the use of technology such as a graphing calculator or the internet, and working knowledge of the relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus. Instruction will be given using primarily the TI-84 and the SMART Board. A graphing calculator will be used daily in the class and all chapter tests are divided into two halves: one without the use of any calculator and the other half requiring the use of a graphing calculator. The graphing calculator allows students to display work graphically and experiment and make conjectures regarding the behavior of functions and limits among other topics; thus allowing students to view problems in a variety of ways. The calculator helps students develop a visual understanding of the material. The most basic skills on the calculator students should master: graphing a function with an appropriate window, finding roots and points of intersection, finding numerical derivatives and approximating definite integrals, are mastered by all students.

Prerequisite(s): Algebra 1, Geometry & Algebra 2 Regents Grade(s): 9, 10, 11

Credit: 1

Meets: 5 periods weekly

*SUNY Farmingdale - Pre-Calculus:*

This is a pre-calculus course with applications from various disciplines including technology, science, and business. Topics include families of functions, mechanics of functions, exponential and logarithmic functions, trigonometric functions and complex numbers. The emphasis is on applications and problem solving. A graphing calculator is required. The main goal of this course is to provide the student with the basic concepts of functions and the mathematical maturity needed for learning calculus. Students will learn the concepts of functions and use them as tools to model and solve practical problems.

Prerequisite(s): Algebra 1, Geometry & Algebra 2 Courses Grade(s): 9, 10, 11

Credit: 1

Meets: 5 periods weekly