mathematics

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. ~John Louis von Neumann |

## Algebra I
-Prerequisites: None
-Length: One Year -Meets requirement for one year of mathematics 02052A000B, S, E, R |
Algebra I includes the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations. |

## Algebra II
-Prerequisites: Algebra I and Geometry
or concurrent enrollment in Geometry-Length: One Year -Elective Course: (may be taken in Grade 10 with instructor’s approval) 02106A000 B, S, E, R |
Algebra II combines trigonometry and advanced algebra topics, and are usually intended for students who have attained Algebra I and Geometry objectives. Topics typically include right trigonometric and circular functions, inverses, and graphs; trigonometric identities and equations; solutions of right and oblique triangles; complex numbers; numerical tables; field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; and properties of higher degree equations. |

## algebra III
-Prerequisites: Algebra II
-Length: One Year -Elective Course 02057A000B, R |
Algebra III is designed for students who have successfully completed Algebra II. This course will enhance the higher level thinking skills developed in Algebra II through a more in-depth study of those concepts and exploration of some pre-calculus concepts. Students in Algebra III will be challenged to increase their understanding of algebraic, graphical and numerical methods to analyze, translate and solve quadratic, polynomial, rational, exponential and logarithmic functions. Modeling real world situations is an important part of this course. Sequences and series will be used to represent and analyze real world problems and mathematical situations. Algebra III will also include a study of trigonometric functions, right triangles, and oblique triangles. Teachers are responsible for integrating appropriate technology for Algebra III. |

## AP calculus AB
-Prerequisites: Algebra II and Pre-calculus
-Length: One Year -Elective Course 02124A000 |
AP® Calculus AB follows the College Board’s suggested curriculum designed to parallel college-level calculus courses. AP Calculus AB provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications. These courses introduce calculus and include the following topics: elementary functions; properties of functions and their graphs; limits and continuity; differential calculus (including definition of the derivative, derivative formulas, theorems about derivatives, geometric applications, optimization problems, and rate-of-change problems); and integral calculus (including antiderivatives and the definite integral). |

## foundation math
-Prerequisites: None
-Length: One Year -Meets requirement for one year of electives (not for mathematics credit) -Required elective course for students falling below the predetermined MAP Math RIT score 02002A000B |
Foundation Math builds, reinforces, and expands students’ foundational math skills. This course extends these skills to include some pre-algebra and algebra topics, number sense, measurement, basic geometry, and basic statistics. |

## geometry
-Prerequisites: Algebra I or equivalent
-Length: One Year -Required Course 02072A000B, S, E, R |
Geometry is a course emphasizing an abstract, formal approach to the study of geometry, and typically includes topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles. |

## pre-calcuslus
-Prerequisites: Geometry (E)
or Algebra II -Length: One Year -Elective Course 02110A000S, E, DC |
Pre-calculus is a course in which students study the number system, negative and fractional exponents, systems of equations, matrices, operations with polynomials, functions, imaginary and complex numbers, quadratic equations, conic sections, trigonometric functions, and radian measurement. Students will also study a combination of algebra and geometry in the study of analytical geometry. Advanced topics such as vectors, polar graphs, logarithms, fractal geometry, probability, statistics, and graph theory are included as time permits.Pre-Calculus may be taken as ICC dual credit courses—MATH 115 and 120ICC requires a student to meet or exceed the qualifying score on the math COMPASS test. |

## probability and statistics/ap
-Prerequisites: Algebra II
-Length: One Year -Elective Course 02203A000 |
Probability and Statistics/AP® is a course that follows the College Board’s suggested curriculum designed to parallel college-level statistics courses. AP® Statistics courses introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Earning AP® credit is optional. |