# Mathematics

## Calculus AB (Advanced Placement)

### Grades 11, 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in Math Analysis (B is recommended)

AP Calculus AB is a one-year course covering the topics prescribed by the College Entrance Examination Board for Advanced Placement in Calculus AB. It is designed to be equivalent to the first semester of college-level calculus.

## Calculus BC (Advanced Placement)

### Grades 11, 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in Calculus AB (B is recommended)

AP Calculus BC is a one-year course covering the topics prescribed by the College Entrance Examination Board for Advanced Placement in Calculus BC. It is designed to be equivalent to the second semester of college-level calculus.

## CCSS 1 (Common Core State Standards Math-Level 1)

### Grades 9 – 12 (year): G, CSU, UC (C)

Prerequisites: None

Common Core State Standards (CCSS) High School Math 1 is a required course. 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. Instruction time, infused with the eight Standards for Mathematical Practice, should 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. 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 2 (Common Core State Standards Math-Level 2)

### Grades 9 – 12 (year): G, CSU, UC (C)

Prerequisites: Successful completion of CCSS 1 (C- or better)

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. For CCSS Math 2, Instruction time, infused with the eight Standards for Mathematical Practice, should 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. 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 3 (Common Core State Standards Math-Level 3)

### Grades 9 – 12 (year): G, CSU, UC (C)

Prerequisites: Successful completion of CCSS 2 (C- or better)

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. For the CCSS Math 3 course, instructional time should 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. 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.

## Computer Science (Advanced Placement)

### Grades 11, 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in Introduction to Computer Science

This year-long course covers the first semester of a traditional college-level Computer Science course. Topics covered are prescribed by the College Entrance Examination Board and will include items such as Program & Class Design, Object-Oriented Methodology, Programming Constructs, Data Structures, and Standard Algorithms. Students who successfully complete this course will be ready to take the national Advanced Placement Exam in May. The difficulty level of this course is equivalent to a college course. The use of a computer at home is required for this course. Students may choose to repeat this course to take the Computer Science AB exam which tests mastery of the second semester of a traditional college-level course. All students in an AP course are expected to take the exam in May.

## Exploring Computer Science

### Grades 10 - 12 (year): G, CSU, UC (C)

An introduction to the breadth of computer science. This course will explore human-computer interaction, problem-solving in computing, Web design, programming and animation using the Alice environment, Lego Mindstorm robotics, and the creation of programs to manipulate images and sound clips.

## Math Analysis

### Grades 9 – 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in CCSS 3 (B is recommended)

Math Analysis is the fourth course in the four-year college preparatory mathematics sequence. The course is designed as a capstone course for the previous three years, as well as a pre-calculus course. The course will emphasize the analyses of the algebraic and trigonometric functions with attention given to their graphs. In addition, vectors, matrices, and derivatives will be some of the topics covered.

## MRWC

### Grade 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in Integrated Math III / Algebra 2.

The MRWC course is designed as a 4th year mathematics course that will prepare students for college-level mathematics, including pre-calculus, calculus, and other quantitative reasoning courses. The MRWC curriculum includes standards listed in the Precalculus Chapter of the Mathematics Framework and combines concepts of trigonometry, geometry, and algebra that lead to the study of calculus in a way that is substantively different from the traditional curriculum. The MRWC curriculum has been developed by a consortium of mathematics professors and math educators from CSU, UC, and CCC higher education systems, together with mathematics specialists from County Offices of Education and local school districts. It has been specifically designed to address the need for stronger mathematics preparation for transitioning from high school to college and career pathways.

## Principles of Computer Science

## (Advanced Placement)

### Grades 11, 12 (year): G, CSU, UC (C)

AP Computer Science Principles introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. With a unique focus on creative problem solving and real-world applications, AP Computer Science Principles prepares students for college and career. Whether it’s 3-D animation, engineering, music, app development, medicine, visual design, robotics, or political analysis, computer science is the engine that powers the technology, productivity, and innovation that drive the world. Computer science experience has become an imperative for today’s students and the workforce of tomorrow. The AP Program designed AP Computer Science Principles with the goal of creating leaders in computer science fields and attracting and engaging those who are traditionally underrepresented with essential computing tools and multidisciplinary opportunities.

## Statistics (Advanced Placement)

### Grades 10 - 12 (year): G, CSU, UC (C)

Prerequisites: C- or better in CCSS 3 (C or better is recommended in Math Analysis)

Advanced Placement Statistics is a one-year course covering the topics prescribed by the College Entrance Examination Board for Advanced Placement in Statistics. It is designed to be equivalent to a beginning college-level statistics class. Graphing calculators with statistical capabilities will be used extensively. Topics covered will include such things as standard deviation, regression, confidence intervals, and tests of hypothesis, among others.