Advanced Placement Calculus AB                        1 unit (W.F. 1.04)

Prerequisite: successful completion of a Precalculus course 
AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. You’ll learn how to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and how to make connections amongst these representations. You will learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.  Those students who complete this course may obtain college credit provided they score well on the Advanced Placement Exam offered by the College Entrance Examination Board in May, which is the final examination for this course. 

Advanced Placement Computer Science A                     1 unit (W.F. 1.04)

Prerequisite:  successful completion of the Algebra I and English 9 courses
AP Computer Science A is equivalent to a first-semester, college-level course in computer science. The course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions, and the ethical and social implications of computing. The course emphasizes both object-oriented and imperative problem solving and design using Java language. These techniques represent proven approaches for developing solutions that can scale up from small, simple problems to large, complex problems.  Those students who complete this course may obtain college credit provided they score well on the Advanced Placement Exam offered by the College Entrance Examination Board in May, which is the final examination for this course.

Advanced Placement Computer Science Principles                    1 unit (W.F. 1.04)

Prerequisite:  successful completion of the Algebra I  course
AP Computer Science Principles is equivalent to a first-semester, introductory college college course in computing. The course introduces students to the principles that underlie the science of computing and develops the thinking skills that computer scientists use.  The course emphasizes making connections between concepts in computing, designing a program to solve a problem, applying abstraction in computation, analyzing computational work, communicating ideas about technology and working collaboratively to solve problems.  Those students who complete this course may obtain college credit provided they score well on the Advanced Placement Exam offered by the College Entrance Examination Board in May, which is the final examination for this course.

Algebra I                                    1 unit (W.F. 1.02)

This is the first high school course in the traditional pathway outlined by CCSS and adopted by New York State.  Topics taught include linear functions, linear algebra, linear systems, quadratic and exponential functions, quadratic algebra, rational algebra, statistics, sets, counting theory, and probability.  Students take the Algebra I Regents at the completion of this course.

Algebra IA                                    1 unit (W.F. 1.02)

This course will cover the first half of the topics outlined by the CCSS in Algebra I.  Students enrolled in this course have an additional year of study to master the skills and content knowledge to be successful on the Algebra I Regents examination.  Upon successful completion of this course, students will be enrolled in Algebra IB.  

Algebra IB                                    1 unit (W.F. 1.02)

 This course will cover the second half of the topics outlined by the CCSS in Algebra I.  At the conclusion of this course students take the Algebra I Regents examination. 

Algebra I AIS                                 no credit

The content of this course focuses on skills that will enable students to be successful in their Algebra I course and the Algebra I Regents examination.

Algebra II Honors                                1 unit (W.F.  1.03)

This is an enriched course, which includes all the topics in the Common Core Algebra II Regents course.  However, the pace is faster allowing time for additional topics and the testing is more rigorous.  Students take the Common Core Algebra II Regents at the completion of this course.  Successful completion of the Common Core Algebra II Regents examination is required for an Advanced Regents diploma.  

Algebra II                                     1 unit (W.F. 1.02)

This is the third high school course in the traditional pathway outlined by CCSS and adopted by New York State.  Topics taught in this course include operations with rational numbers, radicals, relations and functions, quadratic functions, complex numbers, sequences and series, exponential functions, logarithmic functions, trigonometric functions and graphs, trigonometric identities, trigonometric equations and applications, statistics and probability.  Students take the Common Core Algebra II at the completion of this course.  Successful completion of the Common Core Algebra II Regents examination is required for an Advanced Regents diploma.  

DCC Precalculus                                                               1 unit (W.F. 1.04)

Prerequisite:  successful completion of the Algebra II course with 70+ final average
This is the fourth high school course in the traditional pathway outlined by the New York State Next Generation Learning Standards.  This course includes an extension of complex numbers to points in the complex plane.  Matrices are studied as tools for performing rotations and reflections of the coordinate plane, as well as for solving systems of linear equations. Inverse functions are explored as students study the relationship between exponential and logarithmic functions.  Students also model with probability and statistics. This course is highly recommended for students who are planning post-secondary study.  Precalculus is a prerequisite for AP Calculus AB.  Students will have the opportunity to earn 4 college credits through Dutchess Community College. 

Financial Algebra                                1 unit (W.F. 1.01)

Financial Algebra teaches students how to apply algebraic and graphical approaches to understand business and personal finance situations.  The students develop their algebraic thinking patterns and explore functions in a financial context as they become actively involved in applying mathematical ideas to everyday lives.

Geometry                                    1 unit    (W.F.  1.02)

This is the second high school course in the traditional pathway outlined by CCSS and adopted by New York State.  Topics include informal and formal proofs, geometric relationships, three-dimensional figures, properties of triangles, polygons, circles, locus and constructions, coordinate geometry, and transformations.  Students take the Geometry Regents examination at the completion of this course.  Successful completion of the Geometry Regents examination is required for an Advanced Regents diploma.

Geometry Honors                                1 unit   (W.F. 1.03)

This is an enriched course, which includes all the topics in Geometry. However, the pace is faster allowing time for additional topics and the testing is more rigorous.  Students take the Geometry Regents examination at the completion of this course.  Successful completion of the Geometry Regents examination is required for an Advanced Regents diploma.

M.A.S.T I                                    0.5 units (W.F.  1.01)

This course is designed for 9th-12th grade students who are interested in studying Mathematics, Applied Science and Technology.  The course will be an introduction to construction, advanced manufacturing, electricity and robotics.  Students will learn important strategies for collaboration and problem solving.  

M.A.S.T II                                    0.5 units (W.F.  1.01)

This course will include an advanced study of the concepts presented in M.A.S.T I.   Topics include construction, advanced manufacturing, electricity and robotics.  This course is recommended for students who are planning a post-secondary study in a STEM field.

Programming I                                0.5 units (W.F.  1.01)

This course is designed for 9th-12th grade students who are interested in learning how to write code and program computers.  The course will be an introduction to programming using the visual programming language, Scratch. Scratch is a free web based language and teaches students to code creatively in two dimensions. Students will learn important strategies for problem solving, designing projects and communicating ideas.  Topics will include procedures, variables, logic, debugging, loops, string processing and lists.

Programming II                                0.5 units (W.F.  1.01)

This course will build upon the principles introduced in Programming I.  This course is designed to extend the foundations of computer science and basic programming, with an emphasis on helping students develop logical thinking and problem solving skills.  Once students successfully complete Programming II, they will have learned material equivalent to a semester college introductory course in Computer Science and be able to program in JavaScript.  Students who successfully complete this course may be recommended for AP Computer Science A.