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Advanced Math Topics Honors

Course No: 2477
Subject: Mathematics
Grade Level: 11, 12
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Completion of or concurrent enrollment in Calculus, AP Calculus AB, or AP Calculus BC
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendation, and previous performance in any level of precalculus.

Important Mathematics Department Information

This course will explore material that is typically reserved for college math majors. Students will be asked to go beyond the realm of algebraic manipulations and conventional symbols. They will learn to engage with new structures and formal logic. Topics include (but are not limited to) introductions to Set and Number Theory, Abstract and Linear Algebra, Cryptography, and Multivariable Calculus. This course is intended for students with an interest in mathematics beyond Calculus and provides an introduction to a variety of college courses.

*UC/CSU Subject C Approval Pending

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.

Precalculus Accelerated

Course No: 2304
Subject: Mathematics
Grade Level: 11
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Grades of B or better in both semesters of Algebra 1 Accelerated (or B- or below in Algebra 1 Accelerated/successful completion of Algebra 1 and a successful petition to department chair given suitable grade and recommendation from Geometry Accelerated or Honors), Geometry, Geometry Honors, or Geometry Accelerated. At least one accelerated or honors mathematics course must be completed as a freshman or sophomore.
Criteria for Enrollment: Approval of Department Chair, based on: teacher recommendation; satisfactory national test scores; past performance in Math, especially Algebra 1, Algebra 1 Accelerated, or Algebra 2 Honors
Fulfillments: Elective for juniors fulfilling six-semester graduation requirement in lieu of Algebra 2

Important Mathematics Department Information

Precalculus mathematics is a course designed for the student who intends to continue the study of mathematics in the direction of the natural or physical sciences and is a preparation for Calculus.  Traditional analytic trigonometry is taught at the beginning of the course which includes an intense study of right triangle trigonometry, its applications to vectors, circular functions, and trigonometric identities, and solving trigonometric equations.  The rest of the course is an analysis of families of functions and relations – polynomials, rational functions, radical functions, trigonometric functions, logarithmic functions, and exponential functions — and their graphs both algebraically and through the graphing calculator, including an introduction to the fundamental aspects of Calculus.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Precalculus Honors

Course No: 2313
Subject: Mathematics
Grade Level: 11
Course Length: Year
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: Grades of B or better in both semesters of Algebra 2H (or B- or below in Algebra 2H/successful completion of Algebra 1 Accelerated and a successful petition to department chair given suitable grade and recommendation from Geometry, Geometry Honors, or Geometry Accelerated.
Criteria for Enrollment: Approval of Department Chair, based on: teacher recommendation; satisfactory national test scores; past performance in Math, especially Algebra 2H
Fulfillments: Elective for juniors fulfilling six-semester graduation requirement

Important Mathematics Department Information

Precalculus mathematics is a course designed for the student who intends to continue the study of mathematics in the direction of the natural or physical sciences and is an intensive preparation for Calculus.  Most of the course is an analysis of families of functions and relations – polynomials; rational function; radical functions; trigonometric functions, including an intense study of right triangle trigonometry, its applications to vectors, circular functions, and trigonometric identities; logarithmic functions; and exponential functions — and their graphs both algebraically and through the graphing calculator, including an introduction to the fundamental aspects of Calculus. Significant independent work is considered a requirement for this course – students will be asked to perform independent study tasks, including (but not limited to) viewing and taking notes from screencasts, taking online quizzes, and collaborative learning. 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