Mathematics

Course Code: 210210, 210220, 210230
Open to:  9, 10, 11, 12
Prerequisite: Math 8 or Math 8 ACC
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Instruction will focus on four critical areas: (1) deepen and extend understanding of linear and exponential relationships; (2) contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; (3) extend the laws of exponents to square and cube roots; (4) apply linear models to data that exhibit a linear trend.

Course Code: 210910, 210920, 210930
Open to:  9, 10, 11, 12
Prerequisite: 60% or better in Algebra I C or Math 8 ACC
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Geometry is the second course in a five-year sequence of college preparatory mathematics courses that starts with Algebra I and continues through Calculus. Geometry aims to formalize and extend the geometry that students have learned in previous courses. It does this by focusing on establishing triangle congruence criteria using rigid motions and formal constructions, building a formal understanding of similarity based on dilations and proportional reasoning, developing the concepts of formal proof, exploring the properties of two and three dimensional objects, working within the rectangular coordinate system to verify geometric relationships, proving basic theorems about circles, and using the language of set theory to compute and interpret probabilities for compound events

Course Code: 210510, 210520, 210530
Open to:  9, 10, 11, 12
Prerequisite: 80% or better in Algebra I C
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Geometry H is the second course in a rigorous sequence of college preparatory mathematics courses that start with Algebra I. The fundamental objective is to formalize and extend the geometry that students have learned in previous courses. Students will deepen their understanding of geometric relationships and explore geometric situations using formal mathematical arguments. Topics covered include: congruence, similarity, right triangle trigonometry, transformations, circles, geometric measurement and dimensions, solids, modeling with geometry, coordinate geometry, geometric constructions, formal geometric proofs and using the language of set theory to compute and interpret probabilities of compound events. Formal direct and indirect proofs are used to develop a deep understanding of both Euclidean and transformational Geometry. Concepts are explored at a deeper level than in Geometry P.

Course Code: 210410, 210420, 210430
Open to:  9, 10, 11, 12
Prerequisite: 60% or better in Geometry (P or H)
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Algebra II is the third course in a five-year sequence of rigorous college preparatory mathematics courses that starts with Algebra I and continues through Calculus. Algebra II aims to apply and extend what students have learned in previous courses by focusing on finding connections between multiple representations of functions, transformations of different function families, finding zeros of polynomials and connecting them to graphs and equations of polynomials, modeling periodic phenomena with trigonometry, and understanding the role of randomness and the normal distribution in making statistical conclusions

Course Code: 210810, 210820, 210830
Open to:  9, 10, 11, 12
Prerequisite: 80% or better in Geometry P or H, trimester C
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Algebra II H is the third course in a sequence of rigorous college preparatory mathematics courses that start with Algebra I. The fundamental objective is to formalize and extend the mathematics that students have learned in Algebra I and lay the foundation for future advanced mathematics courses. Students will learn the structure and the properties of the complex number system and its operations and develop the algebraic skills needed for the modeling and solving of quantitative problems that arise in real life, science and business using polynomial, rational, radical, logarithmic, and trigonometric functions. Topics include: finding connections between multiple representations of functions, transformations of different function families, finding zeros of polynomials and connecting them to graphs and equations of polynomials, further investigation of conic sections, modeling periodic phenomena using trigonometry to include trigonometric identities and equations, and understanding the role of randomness and the normal distribution in making statistical conclusions. Concepts are explored at a deeper level than Algebra II P.

Course Code: 210710, 210720
Open to:  9, 10, 11, 12
Prerequisite: 70% or better in trimester C in either Algebra II P or H
Length of Course: Two  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

This course develops the concepts and properties of the periodic trigonometric functions and their inverses with a more advanced, in-depth analysis: circular functions, periodicity and the graphing of the sine function and its variants, radian and degree measurement of angles, polar and rectangular coordinate systems, trigonometric identities, the graphing of polar and parametric functions, the conic sections of hyperbola, ellipse and parabola, the Law of Sines and the Law of Cosines, the complex number system in rectangular and polar form and the graphical analysis of rational polynomial functions

Course Code: 21810, 210820
Open to:  11, 12
Prerequisite: 80% or better in Algebra II P or H, trimester C
Length of Course: Two  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement; UC?CSU approved for weighted grade credit

This course develops the concepts and properties of the periodic trigonometric functions and their inverses with a more advanced, in-depth analysis: circular functions, periodicity and the graphing of the sine function and its variants, radian and degree measurement of angles, polar and rectangular coordinate systems, trigonometric identities, the graphing of polar and parametric functions, the conic sections of hyperbola, ellipse and parabola, the Law of Sines and the Law of Cosines, the complex number system in rectangular and polar form and the graphical analysis of rational polynomial functions.

Course Code: 212210, 212220
Open to:  10, 11, 12
Prerequisite:  80% or better in Pre-Calculus P or better in Pre-Calculus H
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

This is a course designed for students who plan to major in mathematics, science, or engineering at a college or university.  The course will provide each student with a thorough understanding of differential and integral calculus as outlined by the College Board for Calculus AP.  This course will weave together arithmetic, algebra, geometry, trigonometry, and problem solving as they apply to the study of calculus.

Course Code: 212110, 212120
Open to:  11, 12
Prerequisite: 90% or better in Calculus AB OR a 3 or higher on AP Calculus AB exam
Length of Course: Three  trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.

Course Code: 212310, 212320
Open to:  11, 12
Prerequisite: 80% or better in Algebra II P or 70% or better in Algebra II H, Pre-Calculus, Pre-Calculus H
Length of Course: Twotrimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Statistics AP is a project-centered course that acquaints students with the major concepts and tools for collecting, organizing, and analyzing data.  Students will then draw conclusions from their analyses. In this course, students will be calculating probabilities, summarizing distributions of univariate data, studying random variables and sampling distributions.  They will be comparing distributions of data, utilizing confidence intervals, calculating standard deviation and variance, utilizing the Normal distribution and Chebyshev’s Theorem, creating data analyses.  Students will be designing experiments, testing hypotheses, comparing two means in two sample statistics, utilizing least squares regression in simple linear regression models, and reporting their findings. Students will frequently work on projects involving the hands-on gathering and analysis of real world data.  Computers and calculators will allow students to focus in-depth, applying their knowledge of concepts involved in their statistical studies.  This course prepares students for the Advanced Placement Examination in Statistics.  Students will be prepared with all content knowledge prior to the examination.  Time remaining after the exam will be dedicated to a large culminating project including references, data collection, and good sampling techniques.  Their projects will contain an appropriate, thorough statistical analysis.  Students present their projects to the class as part of their project grade

Course Code: 214110, 214120
Open to:  11, 12
Prerequisite: Completed Algebra II
Length of Course: Two trimesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Applied Mathematics is designed for students who are planning to enter the workforce or to attend a trade school after graduation from high school.  This course focuses on refinement of mathematical skills in job-related areas such as: general agriculture and agribusiness, business and marketing, health occupations, home economics, and industrial technology.  There is also a unit on consumerism in which students practice managing money in checking accounts, investment accounts, and credit cards, as well as calculating their income taxes.

Course Code: 212230
Open to:  10, 11, 12
Prerequisite: Must have been enrolled in AP Calculus AB, trimester A and B
Length of Course: One trimester

This is a course designed for students who plan to take the AP test and would like to learn additional calculus topics not covered in the standard AP-AB course.  The additional material will better prepare students for more advanced topics found in a University calculus course.

Course Code: 212130
Open to:  11, 12
Prerequisite: Must have been enrolled in AP Calculus BC A and B
Length of Course: One  trimester

This is a course designed for students who plan to take the AP test and would like to learn additional calculus topics not covered in the standard AP-BC course.  The additional material will better prepare students for more advanced topics found in a University calculus course.

Course Code: 212330
Open to:  11, 12
Prerequisite: Must have been enrolled in AP Statistics A and B
Length of Course: One trimester

This course is designed to prepare students for the AP Statistics Exam.  Topics covered include: exploring data, planning a study, anticipating patterns, and statistical inference.