MATHEMATICS

MATH I year 9-12 UC/CSU

The fundamental purpose of the Math I course is to formalize and extend the mathematics that students learned in the middle grades. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions and Geometry. The scope of Math I is limited to linear and exponential expressions and functions as well as some work with absolute value, step, and functions that are piecewise-defined.

For the Math I course, instructional time will focus on six critical areas: (1) extend the understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.

Completion of Math I or a higher-level course in the sequence is required to meet the State of California requirements for a full-year mathematics course equivalent to Algebra I or higher.

MATH II year 9-12 UC/CSU

The focus of the Math II course is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Math II. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability, The scope of Math II is limited to quadratic expressions and functions, and some work with absolute value, step and functions that are piecewise-defined.

For the Math II course, instructional time will focus on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

Completing the first semester of Math II with a "C-" or higher will validate a lower grade from Math I for UCs/CSUs.

MATH III year 10-12 UC/CSU

It is in the Math III course that students integrate and apply the mathematics they have learned from their earlier courses. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Standards that were limited in Math I and Math II no longer have those restrictions in Math III.

For the Math III course, instructional time will focus on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.

Completing the first semester of Math III with a "C-" or higher will validate a lower grade from Math I and Math II for UCs/CSUs.

STATISTICS year 11-12 UC/CSU

Prerequisite: A grade of "C" or better in Math III or tandem enrollment with Math III and a grade of “C” or better in Math II 

This course covers the basic principles of descriptive statistics, exploratory data analysis, design of experiments, sampling distributions and estimation, and fitting models to data. Other topics include probability distributions, binomial distributions, sampling techniques, and experimental design. Measuring the probability of an event, interpreting probability, and using probability in decision making are the central themes to this course. This Statistics course is taught as an activity-based course in which students actively construct understanding of the concepts and techniques of statistics. Students will gain proficiency in accuracy and communication of statistical concepts throughout the course to include effectively communicating how methods, results and interpretations of data for any given experiment are valid. Students learn that writing complete responses using appropriate justification is a critical aspect of gaining statistical proficiency.

AP CALCULUS AB year 11-12 UC/CSU-H

Prerequisite: A grade of "C" or better in Math III 

This course is designed to introduce students to the power and usefulness of calculus without getting “bogged” down in rigorous proofs and abstract conceptualizations. Throughout the year, the course will focus on how calculus is utilized in real life applications and how it applies to many other disciplines (economics, social science, life and physical science).

The class also serves as an introduction to the subject for those planning to continue their study of higher level mathematics at the university level. In this course, students will learn how to derive and integrate functions and how to analyze these functions at a given point. One high school year of this course is comparable to a semester's worth of Calculus 1 at the university level and is thus primarily offered to students who plan to take Mathematics, Engineering, Science and Technology and other related fields in college or university where Calculus is a basic course in Mathematics.

MATH I ESSENTIALS year 9

The objective of the Math I essentials course is to refresh incoming freshmen on the skills and concepts covered in K-8 as preparation for the concepts covered in the integrated mathematics sequence which begins with Math I. The class will focus primarily upon the concepts covered in the first semester of Math I.

CONSUMER MATH year 10-12

This course provides a comprehensive coverage of personal and business related mathematics. The lessons are designed to make students understand and manage their personal finances as well as grasp the fundamentals of business finances. Topics include budgeting and buying, borrowing money records and saving and investments. Real-life applications make the course materials meaningful and relevant. The course hopes to prepare students to be smart shoppers, informed taxpayers and valued employees.