MATHEMATICS

MATHEMATICS
ICA requirement: 40 credits   UC/CSU requirement: 30 credits

Algebra I  
Two Semesters  UC/CSU
This course is a formal development of the algebraic skills, concepts, laws and language necessary for students who will take geometry and other advanced college preparatory courses. Application of algebraic skills to problem solving is integral to the course.

Geometry 
Two Semesters  UC/CSU
A complete course in the major concepts of geometry designed to establish a thorough understanding of Euclidean plane geometry and solid geometry. The application excercises apply the ideas of geometry to real-world situations. The idea of proof, building a logical chain in which each step requires justification, is fully explored. Both direct and indirect proofs, inductive and deductive reasoning are studied.

Algebra II  
Two Semesters  UC/CSU
This course expands on the mathematical content of Algebra I. Review of concepts from these courses is integrated throughout the course. Greater emphasis is placed on abstract thinking, the function concept and algebraic solution of word problems. Included in the course beyond expansion of Algebra I content is the study of systems of quadratic equations and exponential functions. Applications of algebraic skills to problem solving are integral in the course..

Informal Geometry 
Two Semesters  UC/CSU 
This course develops concepts in geometry intuitively, through exploration and activities. Students learn to analyze figures and shapes and use informal deduction to establish the interrelationships of properties of figures. Algebraic skills are introduced or reviewed and connections made to geometry throughout the course. Its purpose is to expose students to geometry without the rigor of a formal geometry course.

Algebra II Honors      
Two Semesters  UC/CSU
Prerequisite: Grade of C or higher in Geometry and teacher recommendation
Honors Algebra II is an accelerated course designed for students who have demonstrated exceptional ability and motivation in mathematics and is intended to prepare students for Pre-Calculus and advanced mathematics courses. As an honors course, the treatment and development of the algebra goes into greater depth, maintains a faster pace, and covers more topics than the regular Algebra II course. New concepts and techniques are introduced and emphasis is on abstract thinking skills, the function concept, and the algebraic solution of problems in various content areas. This course contemplates and combines the trigonometry, geometric, and algebraic techniques. Functional viewpoint is emphasized.

Pre-Calculus 
Two Semesters  UC/CSU 
Prerequisite: Teacher recommendations with a B- or higher in Algebra II or C or higher in Algebra II Honors
This course is designed to prepare the student for Calculus and other college-level mathematics and science courses. It is a full year course that focuses on all of the concepts and skills that must be mastered prior to enrolling in a college-level calculus course. Previously studied algebraic concepts are analyzed and integrated through a functional approach.

Calculus
Two Semesters  UC/CSU 
The Calculus AB course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; and Integrals as delineated in the Calculus AB Topic Outline in the AP Calculus Course Description.  Students are encouraged to think through concepts and applications, step­ by ­step, to really achieve mastery.  Algebraic, numerical, graphical, and verbal representations are emphasized throughout the course, and the connections among these representations are emphasized.

Problem Solving Strategies 
One Semester  12 UC/CSU 
This course teaches the student thinking strategies people use in the real world to solve problems. Using stories, puzzles, allegories and situations from the worlds of work and play, we learn how to think logically about a problem, how to organize what is known, how to recognize patterns, how to eliminate improbable solutions, and how to arrive at solutions by multiple methods.

Advanced Financial Applications
One Semester  12 UC/CSU
Advanced Algebra with Financial Applications is a college-preparatory course that will use sophisticated mathematics to give students the tools to become a financially responsible young adult. The course employs algebra, precalculus, probability and statistics, calculus and geometry to solve financial problems that occur in everyday life. Real-world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting and planning for retirement are solved by applying the relevant mathematics. Field projects, computer spreadsheets, and graphing calculators are key components of the course.