Math

Meets graduation requirements: M  

Math Foundations is designed for students who are not yet ready for Integrated Math 1. This is a non-college prep course designed to build the concepts and skills necessary for high school mathematics. Instructional time will focus on the following topics from the Common Core State Standards for Mathematics: ratios and proportional reasoning, operations with rational numbers, linear expressions and equations, linear systems, functions, and the Pythagorean Theorem. Students are automatically enrolled in Integrated Math 1 for Term 2. 

Meets graduation requirements: M 

Meets UC/CSU a-g requirement: c

Math 1 is an integrated math course designed to formalize and extend the mathematics that students learned in the middle grades. The standards are based on the Common Core State Standards for Mathematics and include topics from the conceptual categories: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.  Instructional time will focus on six critical areas:  (1) extend 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. 

Meets graduation requirements: M 

This is a non-college preparatory course designed for students who have passed Integrated Math 1, but may not be ready for the rigor of Integrated Math 2. The course is structured around problems and investigations that build spatial visualization skills, conceptual understanding of geometry topics, and an awareness of connections between different ideas. Students are encouraged to investigate and conjecture to develop their reasoning skills. Lessons are structured for students to collaborate actively by working collaboratively with peers. The course will focus on the foundational geometry standards that students will learn in Integrated Math 2, without engaging in formal proofs. The big ideas of the course are presented in an integrated algebra/geometry context. (www.cpm.org) 

Meets graduation requirements: M/G 

Meets UC/CSU a-g requirement: c

Integrated Math 2 is designed to extend the mathematics that students learned in Integrated Math 1 to the family of quadratic expressions, equations, and functions. The standards are based on the Common Core State Standards for Mathematics and include topics from the conceptual categories: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. 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 of 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. 

Meets graduation requirement: M

Meets UC/CSU a-g requirement: c

Integrated Math 3 is designed to extend and apply the mathematics learned in previous math courses. The standards are based on the Common Core State Standards for Mathematics and include topics from the conceptual categories: Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.  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. 

Meets graduation requirement: M

Meets UC/CSU a-g requirement: c

In this course, students will learn to understand, ask questions, and represent data through project-based units. The units will give students opportunities to be data explorers through active engagement, developing their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, modeling with data, making and evaluating data-based arguments, and the importance of data in society. At the end of the course, students will have a portfolio of their data science work to showcase their newly developed knowledge and understanding.  This course is designed for students who are interested in non STEM careers who do not intend to eventually take precal or calculus.

Meets graduation requirements: M/EL

Meets UC/CSU a-g requirement: c

Advanced Algebra with Financial Applications is a mathematical modeling course that is algebra-based, applications-oriented, and technology-dependent. The course addresses college preparatory mathematics topics from Advanced Algebra, Statistics, Probability, Geometry, and Pre-Calculus under seven financial umbrellas: Banking, Investing, Credit, Employment and Income Taxes, Automobile Ownership, Independent Living, and Retirement Planning and Household Budgeting. The course allows students to experience the interrelatedness of mathematical topics, find patterns, make conjectures, and extrapolate from known situations to unknown situations. Students are encouraged to use a variety of problem solving skills and strategies in real-world contexts, and to question outcomes using mathematical analysis and data to support their findings. The course offers students multiple opportunities to use, construct, question, model, and interpret financial situations through symbolic algebraic representations, graphical representations, geometric representations, and verbal representations. It provides students a motivating, young-adult centered financial context for understanding and applying the mathematics they are guaranteed to use in the future, and is thusly aligned with the recommendations of the Common Core State Standards. 

Meets graduation requirements: M/EL

Meets UC/CSU a-g requirement: c

Pre-calculus covers many of the same topics as previous courses such as solving and graphing polynomial, rational, radical, exponential, and logarithmic functions, but in greater depth. It also expands upon the basic trigonometry and includes graphing trig functions, proving identities as well as applying trigonometry with the Law of Sines, Law of Cosines, and finding the area of a triangle. Topics such as matrices, polar coordinates, graphs of polar equations, parametric equations, and basic ideas regarding limits are studied in this course. 

Meets graduation requirements: M/EL

Meets graduation requirements: M/EL

Meets UC/CSU a-g requirement: c

This course earns students a weighted grade

AP Calculus is a course in differential and integral calculus, equivalent to one semester of calculus at most universities. Topics include:  functions, limits and continuity, derivatives, integrals, anti-derivatives, the Fundamental Theorem of Calculus, and an introduction to differential equations using slope fields. There is an emphasis on the application of these concepts as well as working with functions represented graphically, numerically, analytically, and verbally. The TI-89 graphing calculator is used extensively throughout the course. The Advanced Placement Calculus AB exam is expected of all students in this course. 

Recommended:  B in AP Calculus A/B 

Meets graduation requirements: M/EL

Meets UC/CSU a-g requirement: c

This course earns students a weighted grade

This course is a continuation of the Advanced Placement (AP) Calculus course, and is comparable to a second semester Calculus course in colleges and universities. The course will include: techniques of integration, improper integrals, indeterminate forms, multiple integration, applications of integration, infinite series, parametric equations, polar integration, differential equations, and applications of hyperbolic functions. The Advanced Placement Calculus BC exam is expected of all students in this course. 

Meets graduation requirements: M/EL

Meets UC/CSU a-g requirement: c

This course earns students a weighted grade

The topics of AP Statistics are divided into four major themes: exploratory analysis, planning and conducting a study, probability, and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departure from patterns. Probability is the tool used for anticipating what the

distribution of data should look like under a given model. Statistical inference techniques include confidence intervals and a variety of hypothesis test techniques. 

Meets graduation requirements: M/EL 

Meets UC/CSU a-g requirement: g 

This course is intended to provide students an overview of the basics of personal and business finances. The focus on the course is application of basic math skills in real life financial scenarios.