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Geometry Accelerated

Course No: 2202
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: Approval of Department Chair, based on teacher recommendation; past performance in English, Foreign Language, and Math; standardized test scores (math, language, reading)
Fulfillments: Required for graduation

Important Mathematics Department Information

This course follows generally the description of the traditional geometry course but also includes more proof (direct and indirect; in two-column, flow, and paragraph form). This course is designed for the student who successfully completed Algebra 1Acc as a freshman, but any student may apply.  Within the context of Geometry, the Accelerated course includes more challenging algebraic applications, such as solving quadratic equations.  It also includes an introduction to analytic geometry and trigonometry, helping to prepare students for Precalculus.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

Geometry Honors

Course No: 2203
Subject: Mathematics
Grade Level: 10
Course Length: Year
Course Type: AP/Honors, Core Lower-Division
UC/CSU Subject Approval: C
Prerequisite: Algebra 1 or Higher
Criteria for Enrollment: Approval of Department Chair, based on teacher recommendation; past performance in English, Foreign Language, and Math; standardized test scores (math, language, reading)
Fulfillments: Required for graduation

Important Mathematics Department Information

This course follows generally the description of the traditional geometry course but provides extensive experience from early stages with the devising, presentation, and defense of student proofs and the theoretical consideration of the nature of proof (direct and indirect; in two-column, flow, and analytical paragraph form).  The Honors course includes a more extensive coverage of solid geometry, an introduction to analytic geometry and trigonometry, and opportunities for curricular enrichment in problem-solving.  Additional topics include vectors, trigonometric identities, conic sections, and the study of trigonometric and circular functions. Within the context of Geometry, the Honors course includes more challenging algebraic applications, such as solving quadratic, rational, irrational, logarithmic, and exponential equations. This course is designed for the student who successfully completed Algebra 2H as a freshman, but any student may apply.  A Texas Instruments TI-83 or TI-84 series graphing calculator is required.

*Class receives honors weighting in SI weighted GPA

Honors Linear Algebra Multivariable Calculus

Course No: 2430
Subject: Mathematics
Grade Level: 12
Course Length: Semester
Course Type: AP/Honors, Elective
UC/CSU Subject Approval: C
Prerequisite: AP Calculus BC or AP Calculus AB and the approval of the Department Chair
Criteria for Enrollment: Approval of Department Chair, teacher recommendations and satisfactory national test scores, minimum weighted Math Dept. 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).

Important Mathematics Department Information

This course covers differential, integral, and vector calculus for functions or more than one variable.  These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.  The course opens with a unit on vectors, which introduces students to this critical component of advanced calculus and will culminate in Green’s Stokes’ and Gauss’ Theorems.  We will study partial derivatives, double and triple integrals, and vector calculus in both two and three dimensions.  Students are expected to develop fluency with vector and matrix operations.  Understanding of parametric curves as a trajectory described by a position vector is an essential concept, and this allows us to break free from one-dimensional calculus and investigate paths, velocities, and other applications of science that exist in three-dimensional space.  We study derivatives in multiple dimensions, we use the ideas of the gradient and partial derivatives to explore optimization problems with multiple variables, and we consider constrained optimization problems using Lagrangians.  After our study of differentials in multiple dimensions, we move to integral calculus.  We use line and surface integrals to calculate physical quantities especially relevant to mechanics and electricity and magnetism, such as work and flux, and we employ volume integrals for calculations of mass and moments of inertia.

The study of systems of linear equations, the algebra of matrices, determinants, vector spaces, linear transformations, the algebra of linear transformations with an introduction to dual spaces, eigenvalues and eigenvectors, and the applications of vectors and matrices to linear equations and linear transformations.

*Class receives honors weighting in SI weighted GPA and UC/CSU GPA calculations (UC/CSU Subject C Approval Pending)

Introduction to Finance

Course No: 2474
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: 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.

Important Mathematics Department Information

Students taking this elective will develop the skills needed to make sound financial decisions. Topics will include planning your career, payroll and taxes, banking, credit, budgeting, purchasing, basic economics, an introduction to stats and business ethics.  All of these topics will be taught through a lens of fiscal and ethical responsibility. This course also extends beyond personal finance to some topics more relevant to college level business and finance courses.  Therefore, it can provide a stronger foundation for students considering that path of study in college.

Math Analysis

Course No: 2460
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 1, Geometry, Algebra 2
Criteria for Enrollment: Approval of Department Chair

Important Mathematics Department Information

This course is designed to give each student thorough preparation in basic Trigonometry and Statistics.  THIS COURSE IS NOT MEANT TO BE A PREPARATION FOR CALCULUS. Topics include the Trigonometric and Circular functions and their applications, Identities, Oblique Triangle Trig, and Vectors (in two dimensions) in rectangular and polar form.  The course also includes an introduction 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.

Mathematics Teaching Assistant

Subject: Mathematics
Grade Level: 12
Course Length: Semester, Year
Course Type: Elective
Prerequisite: None
Criteria for Enrollment: Application Supervising Teacher Supervision, approval of Department Chair. Enrollment is via roster submitted by instructor. Students should not list this course on their Schedule Request Forms.

Important Mathematics Department Information

Math Teaching Assistants provide support for the math department (1 hour/week) either before school, after school, or during resource period in one or more of the following ways:

    1. Assist students taking courses in which the Teaching Assistant has demonstrated mastery.
    2. Assist with grading assignments that require no teacher interpretation.

Students interested in being a Teaching Assistant are required to fill out a short application available from their teacher or the math department chair. Teaching Assistants are typically supervised by an individual teacher, whose signature is required at the time of application. Students will be selected based on department needs and student qualifications. In some cases, students taking AP math courses will have priority in being a Teaching Assistant due to their qualifications in offering peer assistance.

Precalculus

Course No: 2405
Subject: Mathematics
Grade Level: 12
Course Length: Year
Course Type: Elective
UC/CSU Subject Approval: C
Prerequisite: Algebra 1, Geometry, Grade of B or better in Algebra 2
Criteria for Enrollment: Minimum Math GPA of 3.0; Approval of Department Chair

Important Mathematics Department Information

This course is designed to give a thorough preparation for college Calculus.  The course content is the same as Precalculus Honors, but is presented at a slower rate and with additional algebra review.  Most of the course is an analysis of families of functions and relations – polynomials; rational functions; 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 and an introduction to limits, derivatives, and general curve sketching.  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. Students who take Algebra 1 Accelerated and are moving into the Honors level cannot do so via the summer Geometry course. If a student takes Algebra 1 Accelerated and the summer Geometry course, then they must take Precalculus Accelerated as a sophomore.
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