## Mathematics

30 Units Required

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30 Units Required

This course is designed as a first year study of elementary algebra. This course involves the solving of linear and quadratic equations and inequalities, factoring polynomials, graphing and rational and irrational numbers. Emphasis is placed on the problem solving techniques.

Geometry is an analysis of mathematical logic and the relationship among points, lines and planes in two and three-dimensional space. Students will explore definitions and theorems and learn to logically think through mathematical problems. The application of this knowledge and skill to circles, polygons and triangles follows.

Topics found in Standard Geometry are covered more in-depth with emphasis placed on problem solving, writing skills (especially in writing of proofs), and algebraic applications. Additional enrichment objectives are covered as time permits. Successful completion of this course prepares a student for further work in algebra, usually Honors Algebra II.

**Prerequisite: **Students must have a “B” or higher in Algebra I or Honors Algebra I

This course continues and expands algebraic concepts and skills begun in Algebra I. Topics covered in the course include linear, quadratic, exponential, logarithmic, polynomial, and trigonometric functions. Graphical, numerical, and symbolic representations of real-life applications build a conceptual understanding of the functions studied in this course.

This course continues and expands algebraic concepts and skills begun in Algebra I. Topics covered in the course include linear, quadratic, exponential, logarithmic, polynomial, and trigonometric functions. Graphical, numerical, and symbolic representations of real-life applications build a conceptual understanding of the functions studied in this course. Students working at an honors level will be expected to take the topics covered to a deeper and more abstract level of computation.

**Prerequisite:** Students must have a “B” or higher in Geometry or Honors Geometry.

This course is designed to increase the student’s knowledge of mathematics beyond Algebra II. It provides the background needed to succeed in calculus. This course emphasizes the fundamentals of functions through the study of polynomial, rational, power, exponential, logarithmic, trigonometric, and circular functions. Students thoroughly explore composition, inverses, and transformations of functions.

This course is designed to increase the student’s knowledge of mathematics beyond Algebra II. It provides the background needed to succeed in calculus. This course emphasizes the fundamentals of functions through the study of polynomial, rational, power, exponential, logarithmic, trigonometric, and circular functions. Students thoroughly explore composition, inverses, and transformations of functions. Students working at an honors level will be expected to take the topics covered to a deeper and more abstract level of computation.

This study of calculus, the mathematics of motion and change, is divided into two major topics: differential and integral calculus. This course is designed to provide students with a learning experience equivalent to that of a college course in single variable calculus. This is accomplished by developing student understanding of the concepts of calculus and providing experience with its methods and applications. The main objective in teaching AP Calculus is to prepare students for success in future math courses, to help them to develop analytical reasoning skills, and help them to develop an appreciation of calculus as a coherent body of knowledge. Students are expected but not required to take the AP exam in the spring to determine college credit.

This course is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations. It introduces the topic of sequences and series and covers differential and integral calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically and verbally, and to make connections amongst these representations. Students are expected but not required to take the AP exam in the spring to determine college credit.