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Algebra 1

Course No: 2100
Subject: Mathematics
Grade Level: 9
Course Length: Year
Course Type: Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: None
Criteria for Enrollment: Algebra Placement Examination, Entrance Examination
Fulfillments: Required for graduation

Important Mathematics Department Information

Algebra 1 is a traditional course in elementary algebra with an emphasis on solving problems.  The course falls into four basic parts: 1) the four operations on real numbers and their use in the solution of simple equations and related problems; 2) polynomials, factoring, and fractions, leading to the solution of more complicated problems; 3) inequalities, functions and relations, and systems of open sentences; and 4) irrational numbers and quadratic functions and equations.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Algebra 1 Accelerated

Course No: 2104
Subject: Mathematics
Grade Level: 9
Course Length: Year
Course Type: Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: Some experience with Algebra concepts in 8th grade
Criteria for Enrollment: Approval of Department Chair; entrance examination recommending performance on departmental placement exam in April, prior to enrollment
Fulfillments: Required for graduation

Important Mathematics Department Information

The course follows the general goals and objectives of the regular Algebra 1 course.  In addition, advanced topics of algebra are introduced: absolute value equations and inequalities, linear programming, polynomial functions and their graphs, analytic techniques to explore various curves, and an introduction to topics of geometry and trigonometry. Finally, students will be given challenging problems appropriate for an accelerated course.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Algebra 2

Course No: 2300
Subject: Mathematics
Grade Level: 11
Course Length: Year
Course Type: Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: Algebra 1, Geometry
Criteria for Enrollment: None
Fulfillments: Required for graduation

Important Mathematics Department Information

The first part of the course reviews basic terminology, notation, concepts, skills, and application of elementary algebra by examination of the real number system.  This part includes real number concepts and skills involving operations with positive and negative numbers and zero, solution of linear equations and inequalities, one and two variable equations, solving verbal problems, properties of polynomials and rational expressions.   Ideas such as set, variable, number line, open sentence, ordered pair, equivalent sentences, and Cartesian coordinate system are studied and the student is required to demonstrate ability to solve problems involving these concepts.

The course also includes the concepts of function and relation and emphasizes linear and quadratic relations and functions.  The text chapters discussing this material employ symbols, concepts, and methods presented in the earlier chapters.  Thus, the course continually grows and builds on learned material.  The course also includes discussions on exponential functions and logarithms, and a short look at trigonometry.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Algebra 2 Honors

Course No: 2110
Subject: Mathematics
Grade Level: 9
Course Length: Year
Course Type: AP/Honors, Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: Algebra 1 or equivalent in 8th grade
Criteria for Enrollment: Approval of Department Chair; entrance examination recommending performance on departmental placement exam in April, prior to enrollment
Fulfillments: Required for graduation

Important Mathematics Department Information

This course is offered to entering freshmen who have demonstrated mastery of Algebra 1 content.  The course includes in-depth analysis of higher degree polynomials; analysis, interpretation and graphing of rational functions, including asymptotic behavior; an in-depth consideration of the conic sections, including transformations.  Students who successfully complete Algebra 2 Honors typically enroll in Precalculus Honors after the completion of their Geometry course. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*Class receives honors weighting in SI weighted GPA

AP Calculus AB

Course No: 2413
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendations and satisfactory national test scores, minimum Math Dept. weighted GPA of 3.5 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s). Students are required to take the Advanced Placement exam in May.

Important Mathematics Department Information

This course is designed for the student who is interested in pursuing a college major with a strong emphasis in mathematics. The course will cover three main topics of Calculus:  limits, derivatives, and integrals. The course will emphasize a multi-representational approach to calculus with concepts and solutions expressed graphically, numerically, and analytically. The course emphasizes conceptual understanding of derivatives, integrals, and limits, as well as applications of these concepts. In order to develop these concepts, functions and graphs are a fundamental part of this course.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations

AP Calculus BC

Course No: 2423
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendations and satisfactory national test scores, minimum Math Dept. weighted GPA of 3.65 – with accelerated courses counting as +0.5 to the GPA for the accelerated course(s), and honors courses counting as +1.0 to the GPA for the honors course(s). Students are required to take the Advanced Placement exam in May.

Important Mathematics Department Information

AP Calculus BC is an extension of AP Calculus AB rather than an  enhancement.  This course includes all topics covered in the AP Calculus AB course, with similar emphases and similar depth of understanding required.  The course also presents intensive study of parametric, polar, and vector functions; sequences and series; and elementary differential equations.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations

AP Computer Science A – Java

Course No: 9210
Subject: Mathematics, Technology & Engineering
Grade Level: 10, 11, 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 1 and Geometry (or be concurrenly enrolled). Prior computer programming experience is not required, but strongly encouraged.
Criteria for Enrollment: Math and Science GPA 3.3 or higher and strong interest in computer programming

Important Mathematics Department Information

AP Computer Science A (AP CS-A) is equivalent to a one-semester, introductory college-level computer programming course.  AP CS-A introduces students to computer science through programming.  Fundamental topics in this course include the design of solutions to problems, the use of data structures to organize large sets of data, the development and implementation of algorithms to process data and discover new information, the analysis of potential solutions, and the ethical and social implications of computing systems.  The course emphasizes object-oriented programming and design using the Java programming language.

*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations.

**Students are required to take the AP Computer Science exam administered in May.

AP Statistics

Course No: 2470
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 2, Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Grade of B+ or better in Algebra 2, Approval of Department Chair, teacher recommendation. Students are required to take the Advanced Placement exam in May.

Important Mathematics Department Information

This course is designed to give students a foundation for further studies in math while emphasizing preparation for majors in psychology, sociology, and other non-calculus fields. The course is intended for students wishing to complete the equivalent of a one-semester non-calculus based college course in statistics and will introduce them to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations

Calculus

Course No: 2410
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Precalculus Accelerated or Precalculus Honors
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendation, satisfactory national test scores, past performance in Math, especially Precalculus

Important Mathematics Department Information

This course is designed for the student who is interested in pursuing a college major with a strong emphasis in mathematics.  In the first part of the course, the elementary properties of functions and their inverses are reviewed, as well as specific types of functions (exponential, logarithmic, trigonometric).  Subsequently, the student is introduced to the concepts of limits and continuity; differentiation and its applications to problems of extrema and related rates of change; anti-differentiation  and its application to the solution of differential equations; definite integrals and their application to finding areas, volumes, and length of curves.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Geometry

Course No: 2201
Subject: Mathematics
Grade Level: 10
Course Length: Year
Course Type: Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: Algebra 1 or Higher
Criteria for Enrollment: Sophomore standing
Fulfillments: Required for graduation

Important Mathematics Department Information

The course reviews the basic concepts, terminology, and notation involved in geometry, and is designed for the student who successfully completed Algebra 1 as a freshman, though any student may apply.  Both abstract and practical aspects are covered.  Conditional statements, conjectures, theorems, and written justifications are systematically brought into the course, along with the subjects to which they pertain, in the context of problem solving as well as in the context of the preparation of formal proofs.  Students construct an understanding by spending some of their class time working in collaborative learning groups.  Review of algebraic and geometric concepts is employed throughout the course.  In this way, algebra skills are maintained and the students are better prepared to enter into the geometric aspects of advanced algebra, math analysis, precalculus, and calculus courses. A Texas Instruments TI-83 or TI-84 series graphing calculator is required.