Home > Academics > Course Catalog > Math
MATHEMATICS
Art
| English | Guidance
| Home Economics | World
Languages | Math | Physical
Education
Religious Studies | Science | Social Studies
ICA requirement: 3 years
CSU/UC requirement: 3 years (4 years recommended)
Algebra 1A 301000/Algebra 1B 302000
Four Semesters 9, 10 UC/CSU
Algebra 1A - Course Syllabus 
Algebra 1B - Course Syllabus
Prerequisite: Teacher recommendation
This course is designed to introduce students to the concepts of algebra. The topics will be the same as Algebra I but will be covered at a slower pace with greater opportunity for practice for those who find math a challenge. This is a two-year course.
Note: A TI83 or higher Graphing Calculator is required for the course.
Algebra I 303000
Two Semesters 9 UC/CSU
Course Syllabus
Prerequisite: Qualifying test scores on entrance examination or teacher recommendation
Algebra I is a college-preparatory course that aims to develop understanding and computational skills using the real number system. A variety of functions are explored with emphasis on linear and quadratic functions. Relevant problems are solved with the use of appropriate technology.
Note: A TI83 or higher Graphing Calculator is required for the course.
Geometry 304000
Two Semesters 10 UC/CSU
Course Syllabus
Prerequisite: Passing grade 2nd Semester in Alg I with teacher recommendation.
Geometry is the study of visual patterns. The course integrates algebra with geometry. It emphasizes reading and problem-solving. In the text, real life situations are used to facilitate understanding of geometric ideas and to provide the setting for the practice of geometric skills. Proof, which requires knowledge of geometry, is developed gradually through the course.
Note: A TI83 or higher Graphing Calculator is required for the course.
Informal Geometry 304500
Two Semesters 11 UC/CSU
Course Syllabus
Prerequisite: Passing grade 2nd Semester in Algebra 1B with teacher recommendation
Informal Geometry develops concepts and provides a foundation in the essentials of plane geometry, as well as a review of basic algebra. The course consists of examples and hands-on activities that will be within the grasp of any interested student. This course will fulfill ICA’s graduation requirement for geometry.
Note: A TI83 or higher Graphing Calculator is required for the course.
Algebra II 306000
Two Semesters 11, 12 UC/CSU
Course Syllabus
Prerequisite: Passing grade 2nd Semester in Geometry with teacher recommendation. Students who took Algebra IA,IB, and/or Informal Geometry, will be required to pass the Algebra Proficiency Exam.
Algebra II extends the content of Algebra I and centers on a study of linear, quadratic, exponential and logarithmic functions. This course includes an in-depth study of linear equations, powers and roots, complex numbers and conic sections together with their equations and graphs.
Note: A TI83 or higher Graphing Calculator is required for the course.
Pre-Calculus 307000
Two Semesters 12 UC/CSU
Course Syllabus
Prerequisite: Passing grade 2nd Semester in Algebra II with teacher recommendation.
Topics from Algebra are looked at from the perspective of functional analysis with an eye toward application to the calculus. Topics include polynomials, rational equations, trigonometric concepts and functions, vectors, complex variables and the exponential and log functions.
Note: A TI83 or higher Graphing Calculator is required for the course.
Honors Pre-Calculus 307500
Two Semesters 11, 12 UC/CSU
Course Syllabus
Prerequisite: B- or better 2nd Semester in Algebra II Honors, or B+ or higher in 2nd Semester Algebra II and teacher recommendation.
This course goes into greater depth, maintains a faster pace and covers more topics than does the regular Pre-Calculus course. Performance evaluations, as well as the student workload, are typically more challenging and demanding.
Note: A TI83 or higher Graphing Calculator is required for the course.
AP Calculus 308500
Two Semesters 12 UC/CSU
Course Syllabus
Prerequisite: B- or better 2nd Semester in Honors Pre-Calculus or B+ or higher in 2nd Semester Pre-Calculus and teacher recommendation.
The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; and Integrals as stated in the Calculus AB Topic Outline in the AP Calculus Course Description. Students are encouraged to investigate concepts and ideas analytically, graphically, and numerically. Topics are taught using teaching methodologies that help develop their mathematical intuition as opposed to a formulaic approach to problem solving. Although computational competence is important, a broader understanding of Calculus applications is emphasized.
Note: A TI83 or higher Graphing Calculator is required for the course.
Problem Solving Strategies 309001
Fall Semester 12 CSU/UC
Course Syllabus
Prerequisite: Passing grade 2nd Semester in Algebra II and teacher recommendation.
Fulfills one semester of the UC "g." requirement
Students who enroll in this course must also enroll in Introduction to Statistics.
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.
Note: A TI83 or higher Graphing Calculator is required for the course.
Introduction to Statistics 707002
Spring Semester 12 UC/CSU
Fulfills one semester of the UC "g." requirement
A basic understanding of statistics and statistical methods is required of most undergraduate majors in the social, natural, and physical sciences. This course paves the way by introducing the student to the basic concepts of data collection and organization, measures of central tendency, probability and prediction. The course materials emphasize examples from everyday life, with case studies showing how statistics are often used to mislead and manipulate. The software Fathom will be used extensively throughout the class.
Note: A TI83 or higher Graphing Calculator is required for the course.
Computer Programming 701000
Two Semesters 12 UC/CSU
Course Syllabus
Prerequisite: Passing grade in Algebra I 2nd Semester and teacher recommendation.
Meets the University of California “g.” requirement as a math elective. Students learn to program in Java creating standard business applications as well as games and special graphics. As students master basic skills, independent, creative projects are encouraged. The main goal of the course is to develop students’ skills and self-confidence in this challenging and demanding discipline so they will consider the career opportunities available to women in the highly compensated software development job market.
