# Mathematics

**Course ****Description****:**

**Integrated Math 1**

9th Grade

Mathematics I course offers to formalize and extend the mathematics standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. The scope of Mathematics I is limited to linear and exponential expressions and functions as well as some work with absolute value, step, and functions that are piecewise-defined.

Mathematics I course, instructional time 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.

*Prerequisite: None*

Meets University Entrance Requirements: CSU, UC (“c”)

**Integrated Math 2 **

10th Grade

Mathematics II course focuses on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I. 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. The Mathematics II course, instructional time 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.

*Prerequisite: Integrated Math 1*

Meets University Entrance Requirements: CSU, UC (“c”)

**Integrated Mathematics 3**

11th Grade

In this course students expand their knowledge of first year algebra concepts. Students also learn to: solve absolute value equations and inequalities, calculate and solve with complex numbers, use sequences and series, calculate binomial probability, identify and graph conic sections, and solve exponential and logarithmic functions. Students continue to develop advanced skills in critical thinking and problem solving. This course covers all California state standards for Algebra II.

*Prerequisite: Integrated Math 1 & Integrated Math 2*

Meets University Entrance Requirements: CSU, UC (“c”)

**Pre Calculus **

11th – 12th Grade

In this course, the student uses previously learned math concepts to analyze and solve real-world problems. Topics included are polynomial functions, theory of equations, trigonometric functions, sequences and series, exponential and logarithmic functions, parametric equations, vectors and polar coordinates. Special focus is placed on using computers and graphing calculators as problem- solving tools.

*Prerequisite: Algebra II *

Recommended: Algebra II with a grade of “C”

Meets University Entrance Requirements: CSU, UC (“c”,”g”)

**AP Calculus AB **

12th Grade

In this course students cover one semester of college Calculus. The College Board determines topics covered. Students who take and pass the Advanced Placement Calculus AB exam may earn college credit. A graphing calculator is required.

*Prerequisite: Algebra II *

*Recommended: Pre Calculus “C” or better
*

Meets University Entrance Requirements: CSU, UC (“c”,”g”)

**Introduction to Computer Science **

**10th** **– 12****th ****Grades Elective **

This course will provide students with foundational knowledge of computer science. Students will explore topics of human computer interaction, problem solving, web design, computer programming, data modeling, and robotics. Throughout the course, students will understand the algorithmic underpinnings of computer applications and gain technical expertise using computational tools.

*Prerequisite: Concurrent enrollment in Mathematics course.*

Meets University Entrance Requirements: CSU, UC (“g”)