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##### Algebra II

As an extension of Algebra I, the Algebra II Course is designed to build a mathematical foundation for students who are preparing for college entrance exams and/or will take Precalculus next. Topics to be covered include equations and inequalities, quadratic functions and factoring, polynomials and polynomial functions, rational functions, exponential and logarithmic functions, radical functions, complex numbers, sequences and series, probability, and statistics. Students will develop more concepts beyond basic algebra and enrich problem-solving skills, for which an emphasis on applications and use of graphing calculators will be integrated throughout the course.

#### Geometry

The Geometry Course is designed primarily for the 9th grades to develop critical thinking and problem-solving skills by connecting concepts to practical applications. Topics to be covered include parallel and perpendicular lines, angles, congruent and similar triangles, right triangles, the Pythagorean Theorem and trigonometry, quadrilaterals, polygons, transformations, circles and arc, area, surface area and volume of 3-dimensional solids. Students will acquire and demonstrate knowledge of concepts, properties, and applications of the topics listed above as well as develop the computational skills and strategies as needed to solve problems.

#### Pre-calculus

The Precalculus Course is designed to build a rigorous foundation for students who will be going on to Calculus and/or other advanced math courses. With emphasis on both analytic and graphical analysis along with the use of graphing calculators, the course will lead students through an advanced study of trigonometric functions, exponential and logarithmic functions, conic sections, matrices, vectors, polar coordinates and functions, sequences and series, and will conclude with an introduction to the concept of limits and the difference quotient. Students will deepen their understanding of all the concepts and properties and focus on the mastery of problem-solving skills as required for success in subsequent math courses.

#### AP Calculus AB

This course is designed to cover the concepts, applications, and problem-solving techniques of calculus so that students can develop creative problem-solving skills as needed to take the AP Calculus AB Exam administered by The College Board. Topics include limits and their properties, definition and fundamental properties of differentiation, applications of differentiation, Riemann integrals and fundamental theorems of calculus, applications of integration, calculus of transcendental functions, and differential equations.

#### AP Calculus BC

AP Calculus BC is an extension of AP Calculus BC designed to cover further concepts, applications, and problem-solving techniques of calculus so that students can develop creative problem-solving skills as needed to take the AP Calculus BC Exam administered by The College Board. Topics include further integration techniques [e.g., integration by parts, improper integral, etc.], calculus of parametric equations and polar coordinates, infinite series, and series representation of functions.

#### Discrete Mathematics

Discrete Mathematics is designed to develop the ability to think abstractly. Topics include the logics of compound and quantified statements, number theory and methods of proof, sequences and mathematical induction, set theory, relations and functions, counting and probability. Students will discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. They will also develop a solid foundation for computer science and advanced level math courses.

#### Linear Algebra (2021-2022 School Year)

Linear Algebra is designed to study systems of linear equations and properties of matrices, of which concepts and applications in other disciplines, like physics and engineering, are extremely useful. Students will develop a good understanding of the following topics and their applications: systems of linear equations and their matrix representation, matrix operations including inverses, determinants and their properties, vector spaces, eigenvalues and eigenvectors, linear transformations, and least-square problems.