Course Descriptions from the YCSD Program of Studies
This course is a study of the algebraic concepts needed to solve algebraic equations. Students use algebra as a tool for representing and solving a variety of practical problems. Tables and graphs are used to interpret algebraic expressions, equations, and inequalities and to analyze functions. Matrices are used to organize and manipulate data. Students make connections and build relationships among algebra and arithmetic, geometry, and probability and statistics.
This course is a study of applied basic algebraic concepts needed to solve algebraic equations. It is intended to provide algebra reinforcement at a modified pace.
This course is a continuation of the applied basic algebraic concepts presented in Algebra I, Part 1. Students who study the two-part Algebra I sequence will take the Algebra I SOL Test at the completion of Algebra I, Part 2.
The content of this course offers a study of plane, three-dimensional, and coordinate geometry. Methods of justification of theorems include: paragraph proofs, flow charts, two-column proofs, indirect proofs, coordinate proofs, and verbal arguments. The course emphasizes two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems.
The content of this course provides a thorough treatment of advanced algebraic concepts through the study of functions, polynomials, rational expressions, complex numbers, matrices, and sequences and series. Emphasis is placed on practical applications and modeling. The course also includes a transformational approach to graphing functions.
ALGEBRA II & TRIGONOMETRY (3137)
This course combines the content of Algebra II and Trigonometry and is taught at an accelerated pace. It provides the foundation for students to pursue a sequence of advanced mathematical studies from Mathematical Analysis to Advanced Placement Calculus.
This course explores Algebra topics that are not covered in the Algebra II curriculum. Topics studied include: analytic geometry, functions, sequences and series, and probability. Successful completion of this course prepares students for Mathematical Analysis or college-level calculus courses. Concepts covered in this course are found on college entrance and Math League exams.
The course provides a thorough treatment of trigonometry through the study of trigonometric definitions, applications, graphing, and solving trigonometric equations and inequalities. Emphasis is placed on using connections between right triangle ratios, trigonometric functions, circular functions, the language of mathematics, logic of procedure, and interpretations of results. Applications and modeling are included.
This course extends students’ knowledge of function characteristics and introduces them to another mode of mathematical reasoning. Students enrolled in Mathematical Analysis are assumed to have mastered Algebra II concepts and have some exposure to trigonometry. The content of this course serves as an appropriate preparation for a calculus course. Graphing calculators or computer graphing simulators are used.
This course provides a thorough treatment of calculus through the study of elementary functions, limits, and integral and differential calculus. Topics include: techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus.
ADVANCED PLACEMENT CALCULUS AB (31771)
This course is designed to prepare students for the Advanced Placement Calculus AB exam. Content is centered on properties of elementary functions, limits, and integral and differential calculus. A rigorous treatment of calculus theory and application is presented. Summer assignments are required. Students taking this course are required to take the Advanced Placement Exam. Students who do not take the Advanced Placement Exam will not receive credit for the course. This course may not be taken concurrently with Advanced Placement Calculus BC.
ADVANCED PLACEMENT CALCULUS BC (31772)
This course is designed to prepare students for the Advanced Placement Calculus BC exam. Content includes topics in AP Calculus AB and explores in-depth additional calculus applications, including: analysis of derivatives, L'Hôpital's Rule, applications of integrals, techiniques of antidifferentiation, and polynomical approximatiosn and series. Summer assignments are required. Students taking this course are required to take the Advanced Placement Exam. Students who do not take the Advanced Placement Exam will not receive credit for the course. This course may not be taken concurrently with Advanced Placement Calculus AB.
ADVANCED PLACEMENT STATISTICS (3192)
This course is designed to prepare students for the Advanced Placement Statistics exam. In the course, students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics include: exploring data, planning a study, anticipating patterns, and utilizing statistical inference. Summer assignments are required. Students taking this course are required to take the Advanced Placement Exam. Students who do not take the Advanced Placement Exam will not receive credit for the course.
In this course that typically precedes Algebra 1, Part 1, students strengthen math skills and explore the basic concepts of mathematics, algebra, and personal finance. Components of this course include: skills and applications in problem solving and mathematical concepts, with emphasis on patterns, functions, and algebra; geometry; probability and statistics; and personal and financial planning. NOTE: This course may serve as an elective but does not fulfill a math diploma requirement except for the Modified Standard Diploma.
This course provides opportunities to explore mathematical problem solving through computer programming that utilizes the graphing calculator. Students apply programming techniques and skills to solve practical mathematics problems in areas that may include: business, personal finance, leisure activities, sports, and probability and statistics. Problems focus on analysis of data in charts, graphs, and tables and the use of knowledge of equations, formulas, and functions to solve problems.
This course provides an introduction to contemporary mathematics with an emphasis on applications centered around the topics of probability, management science, social sciences, and measurement theory.
PROBABILITY AND STATISTICS (31901)
This course provides a general introduction to probability and statistics. Topics include: descriptive statistics, probability, and a study of the methods used to analyze data and make predictions. A variety of application exercises and statistical software are utilized.
ADVANCED PLACEMENT COMPUTER SCIENCE A (3185)
This course is designed to prepare students for the Advanced Placement Computer Science exam. Content offers a further exploration of computer skills and applications using Java programming language. Summer assignments are required. Students taking this course are required to take the Advanced Placement Exam. Students who do not take the Advanced Placement Exam will not receive credit for the course.
