Course Code: 211210, 211220
Grade Level: 9, 10, 11, 12
Prerequisite: Math 8 or Math 8 ACC
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 211310, 211320
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I P
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 211410, 211420
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I P (Recommended Grade of B- or better in Algebra)
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 211510, 211520
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I and Geometry (P or H)
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 211610, 211620
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra I and completion of or concurrent enrollment in Geometry (P or H). (Recommended Grade of B- or better in both Algebra I and Geometry (P or H) )
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 211710, 211720
Grade Level: 9, 10, 11, 12
Prerequisite: Algebra II P or Algebra II H
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 212210, 212220
Grade Level: 10, 11, 12
Prerequisite: Pre-Calculus P or Pre-Calculus H with a grade of "A" or "B" or teacher recommendation
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirement

Description: 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.

• Mathematics

Course Code: 212310, 212320
Grade Level: 11, 12
Prerequisite: Algebra II P or Algebra II H
Length: Two semesters
College Entrance: Meets one year of UC/CSU (c) Mathematics requirements

Description: 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.

• Mathematics