The course follows the general goals and objectives of the regular Algebra 1 course. In addition, advanced topics of algebra are introduced: absolute value equations and inequalities, linear programming, polynomial functions and their graphs, analytic techniques to explore various curves, and an introduction to topics of geometry and trigonometry. Finally, students will be given challenging problems appropriate for an accelerated course. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
Geometry Accelerated
This course follows generally the description of the traditional geometry course but also includes more proof (direct and indirect; in two-column, flow, and paragraph form). This course is designed for the student who successfully completed Algebra 1Acc as a freshman, but any student may apply. Within the context of Geometry, the Accelerated course includes more challenging algebraic applications, such as solving quadratic equations. It also includes an introduction to analytic geometry and trigonometry, helping to prepare students for Precalculus. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
Precalculus Accelerated
Precalculus mathematics is a course designed for the student who intends to continue the study of mathematics in the direction of the natural or physical sciences and is a preparation for Calculus. Traditional analytic trigonometry is taught at the beginning of the course which includes an intense study of right triangle trigonometry, its applications to vectors, circular functions, and trigonometric identities, and solving trigonometric equations. The rest of the course is an analysis of families of functions and relations – polynomials, rational functions, radical functions, trigonometric functions, logarithmic functions, and exponential functions — and their graphs both algebraically and through the graphing calculator, including an introduction to the fundamental aspects of Calculus. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
AP Calculus AB
This course is designed for the student who is interested in pursuing a college major with a strong emphasis in mathematics. The course will cover three main topics of Calculus: limits, derivatives, and integrals. The course will emphasize a multi-representational approach to calculus with concepts and solutions expressed graphically, numerically, and analytically. The course emphasizes conceptual understanding of derivatives, integrals, and limits, as well as applications of these concepts. In order to develop these concepts, functions and graphs are a fundamental part of this course. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations
AP Calculus BC
AP Calculus BC is an extension of AP Calculus AB rather than an enhancement. This course includes all topics covered in the AP Calculus AB course, with similar emphases and similar depth of understanding required. The course also presents intensive study of parametric, polar, and vector functions; sequences and series; and elementary differential equations. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.
*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations