Mathematics

ALGEBRA 1

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: None

This is the first year of a four year sequence of college preparatory (UC system accepted) math which presents the core of the traditional Algebra 1 curriculum, while integrating concepts from Geometry, Statistics, Probability, Trigonometry, and Discrete Mathematics.

ALGEBRA 2

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: C- or better in both Algebra 1 and Geometry (B is recommended)

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.

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 MATHEMATICS - 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 MATHEMATICS - LEVEL 2)

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: Successful completion of CCSS 1 or Algebra 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 MATHEMATICS - LEVEL 3)

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: Successful completion of CCSS 2 or Geometry (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 StateStandards (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.

EXPLORING COMPUTER SCIENCE

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

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.

GEOMETRY

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: 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.

MATH ANALYSIS

Grades 9 – 12 (year): G, CSU, UC (c)

Prerequisites: C- or better in Algebra 2 (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.

STATISTICS (ADVANCED PLACEMENT)

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

Prerequisites: C- or better in Algebra 2 (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.