# Mathematics Courses

**Graduation Requirement:** Students must pass two years or 20 credits in Mathematics courses for graduation.

**College Requirement:** Students must pass three years or 30 credits of year-long mathematics courses with grades of "C" or higher.

For highly competitive colleges, 4 years of mathematics coursework is recommended.

Mathematics courses receive credit in the C area for the University of California (UC) and California State University (CSU) systems.

The Common Core State Standards (CCSS) are changing the way students learn mathematics, what students are expected to be able to do with mathematics, and what mathematical concepts are taught at each grade level. The rigor expected at each grade level has increased, which requires the typical high school mathematics programs to change. These standards emphasize learning mathematics in the context of real-world situations, to solve real problems while developing the mental habits that come from using mathematics skillfully and understanding math’s conceptual framework. The CCSS require all high school students to develop an integrated understanding of algebra, geometry, statistics, functions, and number and quantity. At each level, students will study a variety of integrated topics with increasing complexity in each successive year. This content shift in each course is significantly different from how math has been taught for the past two decades.

The levels of the CCSS Math program offered at EVHS are listed below. Click on the "Mathematics Pathways" link above to see how a student might progress through the math curriculum.

**P - CCSS 1 (Common Core State Standards Mathematics - Level 1)**

Grades 9/10/11/12

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. 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.

**P - CCSS 2 (Common Core State Standards Mathematics - Level 2)**

Grades 9/10/11/12

Prerequisite: None

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.

**P - CCSS Math 1 - Semester 2 **

Grades 10/11/12

Prerequisite: Sophomore standing, previous enrollment in CCSS Math 1

This semester-long course is given to allow students to progress in the Common Core curriculum while making up a semester of the course in which they have received a non-recommending grade to UC or CSU.

**CCSS 3 (Common Core State Standards Mathematics - Level 3 (Implemented in 2016 - 2017)**

Grades 10/11/12

Prerequisites: Grades of C or higher in CCSS 2

Course sequence and content will be published prior to the 2016-2017 school year. Course will deepen and extend the content of the previous CCSS 1 and CCSS 2 courses.

**P - Geometry (2015 - 2016 is the final year for this course)**

Grades 9/10/11/12Prerequisites: C- or better in Algebra 1 or teacher recommendation

This is the second year of a four year sequence of college preparatory (UC system accepted) math. Geometry is the core of the class, while concepts from Algebra 1 are revisited at a higher level.

**P - Algebra 2 (2015 - 2016 is the final year of this course)**

Grades 9/10/11/12Prerequisites: C- or better in both Algebra 1 and Geometry

Algebra 2 is the third course in the four-year college preparatory mathematics sequence. The material covered is an extension of Algebra 1 with emphasis on quadratic functions, properties of numbers system, structure, the system of complex number, matrices, determinates, progressions, series, logarithms, and graphing.

**P - Math Analysis (Pre-Calculus & Trigonometry)**

Grades9/10/11/12

Prerequisites: C or better in Algebra 2 or CCSS 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.

**P - Calculus AB AP**

Grades 10/11/12

Prerequisites: C or better in Math Analysis

This rigorous and demanding course is designed to teach college-level curriculum equivalent to the first semester college-level Calculus course. 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.

**P - Calculus BC AP**

Grades 11/12

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.

**P - Statistics AP**

Grades 11/12

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

Math Electives: (receives college prep credit in the ELECTIVE or "G" Area for university)

**P - Introduction to Computer Science**

Grades 9/10/11/12

Prerequisites: Algebra 1 - No prior knowledge of computers required

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.

**P - Computer Science AP**

Grades 11/12

Prerequisites: Completion of “Introduction to Computer Science” with “B” or better or passing two semesters of Algebra 2 with “B” or better.

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 traditional college level course. All students in an AP course are expected to take the exam in May.

Principles of Computer Science (AP level starting in 2016-2017 school year)

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.