# Math & Computer Science

# Math and Computer Science

**Algebra I**

*Grade Level: ■ 9 ■ 10 □ 11 □ 12*

*One Year: 10 credits*

*Prerequisite: EHS Math Placement Criteria*

*UC/CSU: “c” *

In Algebra 1, students focus on linear functions and equations, which provide the mathematical tools necessary for consolidating and representing what they learned in elementary and middle school about ratios and proportional reasoning. Students also master symbolic reasoning and calculations of symbols when solving problems. Students will learn to solve and graph linear equations and inequalities. They will also solve and graph quadratic equations and inequalities. Additionally, students will cover number properties, exponents, factoring, absolute value, systems of equations, and rational expressions. Throughout the course, students learn to use these and other algebraic tools to represent problem situations and solve important classical problems. Algebra 1 students will have a conceptual understanding of functions and their multiple representations. The concepts learned in this Algebra 1 course is an essential foundation for higher mathematics and guides students’ understanding of the world. Any student in grade 9 receiving a grade of D or lower in either semester of the course shall repeat the course and will have the opportunity to earn up to 10 additional credits.

**Geometry**

*Grade Level: ■ 9 ■ 10 ■ 11 □ 12*

*One Year: 10 credits*

*Prerequisite: C or higher in Integrated Math I and EHS Math Placement criteria*

*UC/CSU: “c” *

A logical system of thought and the nature of proofs are developed in this class. Geometry begins with a few basic premises (Line, point, and plane); and from these, other statements are developed and proven. Using angles, triangles, parallel lines and other plane figures, a working knowledge of geometry as a mathematical tool is developed.

**Algebra II**

*Grade Level □ 9 ■ 10 ■ 11 ■ 12*

*One Year: 10 Credits*

*Prerequisite: C or higher in Integrated Math II and EHS Math Placement Criteria*

*UC/CSU: “c” *

Algebra 2 provides a review and extension of the concepts taught in Algebra 1. Topics covered will include equations and inequalities, coordinates and graphs, general functions, polynomial and rational functions, exponential and logarithmic function, trigonometric functions of angles and of real numbers, analytic trigonometry, systems of equations and inequalities, sequences and series. Graphing calculator skills will be taught and use extensively in this course. Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and real world application taught in direct relationship to the California Standards.

**Pre-Calculus**

*Grade Level □ 9 ■ 10 ■ 11 ■ 12*

*One Year: 10 Credits*

*Prerequisite: B or higher in Integrated Math III and EHS Math Placement Criteria*

*UC/CSU: “c”*

This course is designed to extend previous algebra and analytic geometry concepts into readiness for mathematics at the college level. Students focus on the use of technology, modeling, and problem solving involving data analysis, trigonometric and circular functions, their inverses, polar coordinates, complex numbers, conic sections, and quadratic relations. Selected discrete mathematics topics include normal probability distributions, mathematical induction, the Binomial Theorem, and sequences and series. Experience with graphing calculators is incorporated.

**AP Statistics**

*Grade Level □ 9 □ 10 ■ 11 ■ 12*

*One Year: 10 Credits*

*Prerequisite: C or higher in FST or Pre-Calculus and EHS Math Placement Criteria*

*UC/CSU: “c”*

AP Statistics will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Emphasis is on four broad conceptual themes: Exploring Data: describing patterns and departures from patterns; Sampling and Experimentation: planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses. The material covered in this course represents college level mathematics for which most colleges’ award advanced placement and/or college credit. It is expected that students will take the AP Exam and seek college credit, college placement, or both from institutions of higher education.

**AP Calculus AB**

*Grade Level □ 9 □ 10 ■ 11 ■ 12*

*One Year: 10 Credits*

*Prerequisite: C or higher in FST or Pre-Calculus and EHS Math Placement Criteria*

*UC/CSU: “c”*

**AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. **The material covered in this course represents college level mathematics for which most colleges’ award advanced placement and/or college credit. It is expected that students will take the AP Exam and seek college credit, college placement, or both from institutions of higher education.

**AP Computer Science Principles**

*Grade Level □ 9 ■ 10 ■ 11 ■ 12*

*One Year: 10 Credits*

*Prerequisite: Integrated Math I and instructor approval.*

*UC/CSU: “g” *

The course introduces students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity, and how computing impacts our world. Students will develop the computational thinking skills needed to fully exploit the power of digital technology and help build a strong foundation in core programming and problem-solving. Using project-based lessons and materials throughout, students will work to address real-world problems and design solutions to put computational thinking into practice. These culminate in a capstone Performance Task project where students can demonstrate what they've learned - to become creators, instead of merely consumers, of the technology all around them. It is expected that students will take the AP Exam and seek college credit, college placement, or both from institutions of higher education.