**Algebra I Regents**

**Grades 8 and 9 Credit: 1****
**This one-year Regents Level Common Core Course follows the standards set forth by the New York State Education Department. The curriculum focuses on algebraic problem solving, understanding linear, quadratic, exponential, and rational functions, and statistics. Algebra I satisfies one of the three year Mathematics requirements for a Regents Diploma and prepares students for the Algebra I Common Core Regents exam, which is taken in June.

*Prerequisite: Eighth grade students may take Algebra I (Regents) if they have at least a teacher recommendation and at least an 85% average in our CBA Math 7/8H or a 90% in an 8th grade math class.*

**Math 10**

**Grade 10 Credit: 1****
**This is a one year course that provides students with an additional one semester of instruction in Algebra and the opportunity to take the NYS Algebra 1 Common Core Regents in January. The second semester of the course is an introduction to selected concepts in Geometry.

*Prerequisite: Successful completion of Integrated Algebra course.*

**Geometry Honors or Geometry Regents**

**Grades 10-12 Credit: 1****
**This course is a one-year Regents Level Course that follows the standards set forth by the New York State Education Department. The curriculum includes topics such as geometric relationships, constructions, rigid motions, proofs and coordinate geometry. The New York State Geometry Common Core Regents exam is taken at the end of the course. Geometry satisfies year two of the three year Mathematics requirement for a Regents Diploma.

The Honors Course includes more complex problem solving and a geometry project each quarter.

*Prerequisite: Successful completion of Algebra 1 course and a passing grade on the Common Core Regents exam and teacher recommendation. An additional prerequisite for Geometry Honors is a class average of 85 or higher in Algebra 1 (cc) and a grade of 85 or higher on the Algebra 1 Common Core Regents exam.*

**Algebra II Honors**

**Grades 10-12 Credit: 1****
**Students in this course will study advanced algebra topics and study the essential topics of trigonometry from the perspective of both the right triangle and the unit circle. Topics include: absolute value, relations and functions, transformations, exponential functions, logarithmic functions, regression, mathematical sequences, probability and statistics, trigonometric functions, trigonometric graphs, trigonometric applications and trigonometric identities and equations. Upon completion of this course, students are expected to take the New York State Regents Exam which leads to an Advanced Regents Diploma. A graphing calculator is required for the course. The recommended model is the TI-84+.

*Prerequisites: Successful completion of Algebra 1 Common Core Regents and Geometry Honors or Regents, a passing score on both Regents exams and a teacher recommendation.*

**Algebra II**

**Grades 10-12 Credit: 1****
**Students in this course will study advanced algebra topics at a deeper level. Topics include: factoring, rational and irrational expressions and equations, complex numbers, quadratic equations, functions, laws of exponents, statistics and regression equations. Upon completion of this course, students are expected to take a school exam. A graphing calculator is required for the course. The recommended model is the TI-84+.

*Prerequisites: Successful completion of Algebra 1 (cc) and Geometry.*

**Pre-Calculus (UHS) **

**Grades 11-12 Credit: 1****
**Pre-Calculus is designed to prepare the students for a college level calculus course. The course will have a strong emphasis on the analysis of functions, the applications of trigonometry and solving real-life word problems. The final semester of Pre-Calculus will focus on the fundamentals of introductory calculus including limits, definition of derivative, derivative rules and curve sketching. Upon completion of this course, students are expected to take a school final exam approved by the University at Albany. A graphing calculator is required for this course. The recommended model is the TI 84+.

*Prerequisite: Successful completion of Algebra II Honors or Regents and a passing score on the Algebra II Regents.*

**Advanced Algebra and Topics**

**Grades 11-12 Credit: 1****
**This course includes a review of algebra and trigonometry concepts. Topics include factoring, rational expressions, solving linear and quadratic equations, functions, lines, exponential equations, matrices, mathematical sequences, logarithms, trigonometry, topics in number theory and introduction to derivatives. A graphing calculator is required for the course. The recommended model is the TI 84+. This course is part of the College in the High School program and may be taken for credit from Hudson Valley Community College

*Prerequisite: Successful completion of Integrated Algebra, Geometry, and Algebra II*

**Advanced Algebra**

**Grades 11-12 Credit: 1****
**The CBA Course, Advanced Algebra, is a combination of two Hudson VAlley Community College College in the High School courses: College Algebra With Trigonometry in the first semester and Elementary Statistics in the second.

College Algebra With Trigonometry includes a review of algebra and numerical trigonometry. Topics include factoring, rational expressions, solving linear and quadratic equations, solving simultaneous linear equations, functions, lines, exponentials, logarithms, numerical trigonometry and solving triangles.

Elementary Statistics serves as an introduction to the concepts of data analysis and statistics. Applications will come from a variety of areas. Topics include, but are not limited to, data analysis and summary for both one and two variables, sampling techniques and design of experiments, basic probability concepts, discrete and continuous probability distributions, the central limit theorem, sampling distributions, confidence intervals and hypothesis tests.

**College Algebra with Trigonometry**

The course includes a review of algebra and numerical trigonometry. Topics include factoring, rational expressions, solving linear and quadratic equations, solving simultaneous linear equations, functions, lines, exponentials, logarithms, numerical trigonometry and solving triangles. A graphing calculator is required for the course. The recommended model is the TI 84+. The course may be followed by Precalculus.

**Elementary Statistics**

This course serves as an introduction to the concepts of data analysis and statistics. Applications will come from a variety of areas. Topics include, but are not limited to, data analysis and summary for both one and two variables, sampling techniques and design of experiments, basic probability concepts, discrete and continuous probability distributions, the central limit theorem, sampling distributions, confidence intervals and hypothesis tests. This course is project driven and will include significant use of technology for computations and analysis.

Students have the opportunity to earn eight (8) college credits (four each semester) from this course.

**AP Calculus AB**

**Grades 11-12 Credit: 1****
**AP Calculus AB is a college level course in differential and integral calculus, the equivalent of the first semester at most universities. This course is designed to prepare students for the AP Calculus AB exam in May and provide them with a well-rounded foundation to aide them with subsequent math courses. Particular emphasis will be placed on key concepts and core calculus techniques and the real-life implementation of these ideas and methods. This course is also approved for UHS credit. A graphing calculator is required for the course. The recommended model is the TI 84+.

*Prerequisite: Successful completion of Pre-Calculus or another approved PreCalculus*

*college or high school course and having attained a grade of at least 85.*

**AP Statistics**

**Grades 11-12 Credit: 1****
**AP Statistics acquaints students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will frequently work on projects involving the hands-on gathering and analysis of real world data. Ideas and computations presented in this course have immediate links and connections with actual events. Computers and calculators will allow students to focus deeply on the concepts involved in statistics. This course prepares students for the Advanced Placement examination in Statistics.

*Prerequisite: Successful completion of Pre-Calculus or another approved Pre-Calculus college or high school course.*