**CCSS Math 1 Grades 9 -12 (UC, CSU)**

*Prerequisites: None Common Core State Standards (CCSS)*

High School Math 1 is a required course, which is one year in length. The fundamental purpose of the CCSS Math 1 course is to formalize and extend the mathematics that students learned in the middle grades. It is the first course in a three-year college preparatory mathematics sequence. The sequence and content of CCSS Math 1, of CCSS Math 2 and of CCSS Math 3 follow the recommendations of the California State Standards and Framework documents published in 2013, Common Core State Standards Appendix A, and the National Council of Teachers of Mathematics Principles and Standards for School Mathematics. This course satisfies 1 year of the Mathematics requirement in the East Side Union High School District. This course satisfies 1 year of the Mathematics requirement at University of California and California State University.

**CCSS Math 2 Grades 9 -12 (UC, CSU)**

*Prerequisites: D or better in CCSS Math 1 Common Core State Standards (CCSS)*

High School Math 2 is a required course that is one year in length. The focus is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from CCSS Math 1. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Some standards are repeated in multiple higher mathematics courses; therefore instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course. This course satisfies 1 year of the Mathematics requirement in the East Side Union High School District. This course satisfies 1 year of the Mathematics requirement at University of California and California State University.

**CCSS Math 3 Grades 9 -12 (UC, CSU)**

*Prerequisites: C or better in CCSS Math 2 Common Core State Standards (CCSS)*

High School Math 3, a one-year course, is the last of the three-year college-preparatory sequence that prepares students to enter Math Analysis, Advanced Placement (AP) Statistics, Computer Science Principles, and in some cases, AP Calculus. It is in the Common Core State Standards (CCSS) Math 3 course that students integrate and apply the mathematics they have learned from CCSS Math 1 and CCSS Math 2. As with the first two years of Common Core Integrated Math, this third course also includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Some standards are repeated in multiple higher mathematics courses; therefore instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course. Standards that were limited in CCSS Math 1 and CCSS Math 2 no longer have those restrictions in CCSS Math 3. This course satisfies 1 year of the Mathematics requirement in the East Side Union High School District. This course satisfies 1 year of the Mathematics requirement at University of California and California State University.

**Math Analysis Grades 10 -12 (UC, CSU)**

*Prerequisites: C or better in Math 3*

This rigorous and demanding course consists of a study of selected topics of advanced high school mathematics, including trigonometry and pre-calculus. This course is intended to provide the student with sufficient background to pursue college mathematics or a field related to mathematics. It is recommended for all college preparatory students preparing for a career in science, mathematics, and engineering. Page 20 Calculus AP/AB Grades 10-12 (UC, CSU) Prerequisites: C or better in Math Analysis This is another rigorous and demanding course designed to teach college-level curriculum. The student will study from a primarily intuitive, rather than totally abstract approach, the following topics: function relationships, analytic geometry and rectilinear motion, limits and continuity, differentiation of algebraic and trigonometric functions, maximum and minimum values with applications, and the study of areas using integration. Upon successful completion of this course, students are expected to take the AP Calculus AB examination in May.

**Calculus AP/BC Grades 11-12 (UC,CSU)**

*Prerequisites: C or better in Calculus AP/AB or a 3 or higher on the AP Exam for Calculus AB*

This course is a continuation of Calculus AP/AB. Topics to be covered are advanced integration techniques, improper integrals, infinite series and convergence, power series, Taylor polynomials, Taylor and Maclaurin series, conic sections, plane curves, parametric equations, polar coordinates, vectors and the geometry of space, vector valued functions, functions of multiple variables, multiple integrals and vector analysis. Upon successful completion of this course, students are expected to take the AP Calculus BC examination in May.

**Statistics AP Grades 11-12 (UC, CSU)**

*Prerequisites: C or better in Math Analysis and must be at grade level English*

This course introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students will study four broad conceptual themes: Exploratory Data (observing patterns and departures from patterns), Planning a Study (deciding what and how to measure), Anticipating Patterns (producing models using probability and simulation), and Statistical Inference (confirming models). Topics explored in this course include: distributions of univariate data, exploring bivariate data and categorical data, correlation and linearity, methods of data collection, planning and conducting surveys/ experiments, random samples, random variables, mean and standard deviation, probability, sampling distribution, normal distribution, statistical inference, confidence intervals, tests of significance and mathematical modeling. Upon successful completion of this course, students are expected to take the AP Statistics examination in May.

**Computer Science AP Grades 11-12 (UC, CSU)**

*Prerequisites: Completed Math 3 with B or better and must be at grade level in English*

This course is the equivalent of a first semester college course in Computer Science. Because the development of computer programs to solve problems is a skill fundamental to the study of computer science, a large part of the course is built around the development of computer programs or parts of programs that correctly solve a given problem. The course also emphasizes the design issues that make programs understandable, adaptable and when appropriate, reusable. At the same time, the development of useful computer programs and program modules is use as a context for introducing other important concepts in computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, and the study of standard algorithms and typical applications. In addition, an understanding of the basic hardware and software components of computer systems and the responsible use of these systems are integral parts of the course. The programming language used will be Java. Upon successful completion of the course, students are expected to take the AP Computer Science A exam in May. Note: This is not a business course or a computer applications course but is a rigorous introductory course in computer science.

**P-Exploring Computer Science (Grades 9-10) (UC, CSU)**

*Prerequisite: Math 1 with a “B” or higher and strong foundation in writing*

Exploring Computer Science is a two-semester course that is an innovative merger of science, mathematics, and the CTE pathways and standards for students at the secondary level. Exploring Computer Science is designed to introduce students to the breadth of the field of computer science. The goal of this course is to develop in students the computational thinking practices of algorithm development, problem solving and programming within the context of problems that are relevant to the lives of today’s students. The course will explore human-computer interaction, problem solving in computing, web design, programming and animation, robotics, and the creation of programs to manipulate images and sound clips.