High School Academics / Curriculum : Math

Algebra I
Algebra I is a logical and systematic extension of generalized arithmetic. Algebra I covers writing, solving, and graphing linear and quadratic equations, including systems of two linear equations in two unknowns. The student will also study monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion. The average student spends from one-half to one hour on homework daily. This course may be used to meet the UC “C” requirement or the CSU math requirement.
Course Length: 1 year
Prerequisites: C or better in middle school Algebra Readiness


Geometry
Geometry teaches deductive reasoning and organized thinking. Students study postulates, definitions, and theorems for use in formal proofs and algebraic problems. Students also study plane geometry, solid geometry, straight edge and compass constructions, and transformations. The average student spends from one-half to one hour on homework daily. This course may be used to meet the UC “C” requirement or the CSU math requirement.
Course Length: 1 year
Prerequisites C or better in Algebra I


Algebra II
Algebra II deepens the student’s understanding and knowledge of algebra and functions by exploring advanced topics in algebra. The average student spends from one-half to one hour on homework daily. This course may be used to meet the UC “C” requirement or the CSU math requirement.
Course Length: 1 year
Prerequisites: C or better in Geometry


College Algebra
Description
This course is an advanced algebra course designed to prepare students for any introductory level college math course. This course includes the following topics: linear relations and functions, systems of equations, polynomial and rational functions, the nature of graphs, exponential and logarithmic functions, trigonometric functions and their graphs, and basic trigonometric identities. Students will leave this course prepared to take the Entry Level Mathematics exam administered by colleges.
Course Length: 1 year
Prerequisites: C or better in Algebra II


Precalculus
Precalculus deepens the student’s understanding and knowledge of algebra, trigonometry, and functional analysis. Students will be introduced to the study of polynomials including synthetic division, graphing theory, limits, and derivatives. The average student spends from one-half to one hour on homework daily. This course may be used to meet the UC “C” requirement or the CSU math requirement.
Course Length: 1 year
Prerequisites: C or better in Algebra II


AP Calculus AB

This course is equivalent to a typical first semester college Calculus course. Topics covered will include limits, derivatives and their applications, and integrals and their applications. Students will become fluent in the language of Calculus. Students will be able to use multiple forms to represent ideas, make arguments, and interpret results. Students will use calculators and other forms of technology to enhance learning and discover new ideas. Students will be prepared to be successful on the AP Calculus AB exam.
Course Length: 1 year
Prerequisites: C or better in Precalculus, Teacher recommendation

AP Statistics
Advanced Placement Statistics is designed to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Topics introduced include the exploratory analysis of data and numerical techniques to study patterns, methods of valid data collection, probability as the tool for anticipating what distributions of data should look like, and confirming models through statistical inference. This course specifically prepares students to take the Advanced Placement Exam for Statistics. Students who successfully complete the course and examination may receive credit and/or advanced placement for a one-semester college statistics course. This course may be used to meet the UC "C" or "F" requirement.
Course Length: 1 year
Prerequisites: C or better in College Algebra or Precalculus

Textbook Information

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