## Mathematics

**MATHEMATICS DEPARTMENT**

__Algebra I__** **

This two semester course is aimed toward giving a foundation in basic algebraic principles which will prepare the student for advanced courses in mathematics. The course includes the following topics: linear, quadratic and exponential functions, solving equations and inequalities, domain, range and function notation, factoring, systems of equations and inequalities, sequences, and modeling two variable data.

This course meets the UC/CSU “c” mathematics requirement.

__Strategic Algebra Support __

Strategic Algebra Support is to be taken concurrently with Algebra I for 9^{th} grade students only. It is designed to develop the skills students need to be successful in the Algebra I course. Students will be assessed on a regular basis to determine how well they are meeting the Algebra I standards. Prerequisite: CAASPP Math and SMI performance scores at below basic or lower and teacher recommendation.

This course is for elective credit only.

__Geometry __** **

**Prerequisite: Algebra I with a grade of D or better.**

This two semester course will prepare students for more advanced courses in mathematics. Topics covered include shapes and transformations, angles and measurement, similarity, trigonometry, congruence, properties of triangles, quadrilaterals, polygons, circles and solids, constructions, proof and probability. Emphasis is placed on making conjectures from observations and justification of reasoning.

This course meets the UC/CSU “c” mathematics requirement.

__Geometry Support__

Strategic Geometry Support (SGS) is a standards-aligned course designed to give students the skills and support they need to meet the California Geometry Standards and be successful in Geometry class. The class will support mastery of the standards for geometry using materials that are appropriate to the students’ abilities and experience. The course will follow the pacing guide for Geometry.

This course is for elective credit only.

__Integrated Mathematics II__

**Prerequisite: Algebra 1 and Geometry with a grade of D or better.**

This class is designed to provide a balance of problem solving, skill development, and conceptual understanding. The course is based on strengthening algebraic skills while reinforcing geometric skills in preparation for Algebra II.

This course meets the UC/CSU “c” mathematics requirement.

__Algebra II__

**Prerequisite: Algebra 1 with a grade of C or better. Geometry with C or better or concurrently enrolled.**

This two semester course is designed to prepare students for upper level mathematics courses. Topics include: solving equations and inequalities, graphing higher order equations, transformations of functions, logarithmic and exponential functions, inverses, rational expressions, probability and statistics, sequences and series. Fundamental ideas are developed through activities explorations and the use of a graphing calculator. The TI84 (or TI83 plus) calculator is highly recommended. Students are required to have a graphing calculator as it is used daily to complete both class work and homework assignments. Applications and problem solving are highly emphasized to develop the higher order thinking skills necessary to succeed in more complex high-level mathematics.

This course meets the UC/CSU “c” mathematics requirement.

__Finite Mathematics and Statistics__

**Prerequisite: Algebra I, Geometry with a grade of C or better, Algebra II with a grade of D- or better.**

This course provides an elective college preparatory mathematics course. Topics in this course include reviewing and extending Algebra II and Geometry skills, exploring and investigating practical uses of mathematics in coding information, statistics, management science, social choices and decision making.

This course meets the UC/CSU “c” mathematics requirement.

__Math 190 (Path to Statistics)__

**Grade Level: 12 **

**Prerequisite: Algebra 1 and Geometry.**

Math 190 is a 'non-transferable' California Community College Course that prepares students to succeed in college statistics. This course covers core concepts from elementary algebra, intermediate algebra, and descriptive statistics. Topics include number sense, designing studies, graphing, measures of center, probability, bi-variate data, rate of change, solving equations, exponential and linear functions, Normal Distributions and statistics software. This course is designed for students who do not want to major in fields such as math, science, medical sciences, computer science, and business.

This course does not meet UC/CSU A-G requirements.

__AP Statistics__

**Prerequisite: Algebra I, Geometry, Algebra II, with a grade of C or better.**

This course is designed to prepare the student for the Advanced Placement Examination in Statistics. With successful performance on this test, the student may place out of a Statistics course at some colleges and universities. This course presents the basic concepts underlying statistical methods and covers descriptive statistics, probability, distributions, hypotheses testing, estimate and sample sizes, correlation and regression chi-square tests, analysis of variance and nonparametric statistics. Computer analysis of statistical data integrated into the course. Applications of statistics to business, life sciences and other areas are included.

This course meets the UC/CSU “c” mathematics requirement.

__Pre-Calculus __

**Prerequisite: Algebra 1, Geometry, Algebra II with a grade of C or better. Grade of B recommended.**

This is a two semester rigorous course designed to develop the skills necessary to advance to Calculus. The course includes the following topics: relations and functions, circular functions, trigonometry, periodic functions, limits, logarithmic and exponential functions, vectors, matrices, parametric and polar equations and conic sections. This course extensively utilizes the graphing calculator to further supplement the understanding of these advanced skills.

This course meets the UC/CSU “c” mathematics requirement.

__AP Calculus AB __

**Prerequisite: Algebra I, Geometry, Algebra II, and PreCalculus with a grade of C or better.**

The Advanced Placement two semester course in calculus consist of a full academic year of work in calculus comparable to coursework in a semester of calculus in colleges and universities. It is expected that students who take an AP course in calculus will seek credit or placement, or both, from institutions of higher learning. AP Calculus (AB) covers the following topics: functions, graphs, limits, derivatives, and integrals.

This course meets the UC/CSU “c” mathematics requirement.

__AP Calculus BC __

**Prerequisite: Algebra I, Geometry, Algebra II, and PreCalculus with a grade of B or better.**

The two semester AP course in calculus consists of a full academic year of work in calculus comparable to courses in colleges and universities. It is expected that students who take an AP course in calculus will seek credit or placement, or both, from institutions of higher learning. Although individual colleges and universities determine appropriate credit and placement according to their local policies, the content of Calculus BC is designed to qualify students for placement and credit one course beyond that granted for Calculus AB. AP Calculus (BC) covers the following topics: functions (including parametric, polar and vector), graphs, limits, derivatives, integrals, polynomial approximations and series.

This course meets the UC/CSU “c” mathematics requirement.

__AP Computer Science__

**Prerequisite: Algebra I, Geometry, Algebra II with a grade of C or better.**

This is a two semester computer programming course emphasis is on programming methodology, algorithms, and data structures. The programming language used is JAVA. Applications of computing provide the context in which these subjects are treated. Applications are used to develop student awareness of the need for particular algorithms and data structures, and to provide topics for programming assignments to which students can apply their knowledge. Treatments of computer systems and the social implications of computing are integrated into the course. This course is designed to be a fourth year math course, and the equivalent of an introductory, one semester, non-calculus based, college level statistics course. The course requires a working knowledge of Algebra II and quantitative reasoning.

This course meets the UC/CSU “c” mathematics requirement.

This course meets the CTE district graduation requirement.