MATHEMATICS
ICA/UC/CSU requirement: 3 years
Algebra I
Two Semesters 9 UC/CSU
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
Two Semesters 10 UC/CSU
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
Two Semesters 11 UC/CSU
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
Two Semesters 11 UC/CSU
Prerequisite: Passing grade 2nd Semester in Geometry with teacher recommendation.
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.
Algebra II
Two Semesters 12 UC/CSU
Prerequisite: Passing grade 2nd Semester in Geometry with teacher recommendation.
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
Two Semesters 12 UC/CSU
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.
Problem Solving Strategies/Introduction to Statistics
Two Semesters 12 UC/CSU
Prerequisite: Passing grade 2nd Semester in Algebra II & teacher approval
Fulfills two semesters of the UC "g.or c." requirement
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.
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.
