Mathematics


MATHEMATICS OVERVIEW

In high school (grades 9-12) the standards are organized by conceptual categories, the overarching ideas that describe strands of content in high school, domains/clusters, which are groups of standards that describe coherent aspects of the content category, and standards, which define what students should know and be able to do at each grade level.

These standards include skills and knowledge – what students need to know and be able to do, as well as mathematical practices – habits of mind that students should develop to foster mathematical understanding and expertise.

COLLEGE AND CAREER READINESS


The high school standards set a rigorous definition of college and career readiness, not by piling topic upon topic, but by demanding that students develop a depth of understanding and an ability to apply mathematics to novel situations, as college students and employees regularly do. Standards indicated with a (+) are beyond the college and career readiness level but are necessary to take advanced mathematics courses such as calculus, advanced statistics, or discrete mathematics.

The high school standards emphasize mathematical modeling—the use of mathematics and statistics to analyze empirical situations, understand them more fully, and make better decisions. For example, the standards state: “Modeling links classroom mathematics and statistics to everyday life, work, and decision-making. Modeling is the process of choosing and using appropriate mathematics and statistics to analyze empirical situations, to understand them better, and to improve decisions. Quantities and their relationships in physical, economic, public policy, social, and everyday situations can be modeled using mathematical and statistical methods. When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data.”



COURSE OFFERINGS


INTEGRATED MATH SERIES: Math 1A, Math 1B, Math 2, is a sequence of courses that build upon the foundation established in elementary and middle school. These courses develop mathematics across multiple categories and continue to promote diverse mathematical insights, and nurture differing strengths and talents. Sequencing of courses needed for CSU/UC college eligibility are: (Math 1A, Math 1B, Math 2, Math 3 or Math 1, Math 2, Math 3)



 MATH 1A

Grade Level: 9-12 Length: 1 year

UC Requirement Fulfilled: c

Prerequisite: None

Course Description: This course is the first year of a two-year Math 1 sequence, designed for a wide variety of students, to satisfy the state Algebra 1 requirement. It utilizes the California Common Core State Standards with an emphasis on incorporating multi-media technology to support learning. This integrated approach is more “hands-on”, interactive and in-depth, and provides ongoing support of basic mathematics skills. It must be followed by one year of Math 1B to complete the Math 1 California Common Core State Standards.


 MATH 1B

Grade Level: 9-12 Length: 1 year

UC Requirement Fulfilled: c

Prerequisite: Math 1A

Course Description: This course is the second year of a two-year Math 1 sequence, designed for a wide variety of students, to satisfy the state Algebra I requirement. It provides a more "hands on" approach for students to continue studying concepts of algebra, geometry, functions, number and operations, statistics and modeling. Meeting the requirements of this course results in completion of the Math 1 California Common Core State Standards.


MATH 2

Grade Level: 9-12 Length: 1 year

UC Requirement Fulfilled: c

Prerequisite: Successful completion of Math 1 or equivalent, or the alternative sequence of Math 1A, Math 1B

Course Description: This course continues a progression of the standards established in Math 1A and Math 1B. In addition to these standards, it includes a study of polynomials, congruence and similarity of figures, trigonometry with triangles, modeling with geometry, probability, making inferences and justifying conclusions.


MATH 3

Grade Level: 9-12

Length:1 year

UC Requirement Fulfilled: c

Prerequisite: Successful completion of Math 2 or equivalent with a grade  of “B” or better.

Course Description: Math 3 progresses from the standards learned in Math 1 and Math 2 or the alternative sequence of Math 1A, Math 1B, Math 2. In addition to these standards, Math 3 extends to include algebraic concepts such as: the complex number system, inverse functions, trigonometric functions and the unit circle. Math 3 also includes the geometric concepts of conics and circles


ALGEBRA

Grade Level: Entry level Length: 1 year

UC Requirement Fulfilled: none

 Prerequisite: None

Course Description: This course emphasizes expressions, operations, and equations involving the real number system, polynomials, ratios, proportions, radicals, and integral exponents, as well as solutions and graphs of linear equations and inequalities, and linear systems.


GEOMETRY

Grade Level: Entry level  Length: 1 year

UC Requirement Fulfilled: none

Prerequisite: Successful completion of Algebra 1

This course is a review of Algebra 1 skills and explores the principles of formal logic and their application to geometric proofs. It provides students with opportunities to use problem-solving skills in the development of geometric concepts.


ALGEBRA 2

Grade Level: Entry level  Length: 1 year

UC Requirement Fulfilled: none

Prerequisite: Successful completion of Algebra 1 and Geometry

Course Description: This course is a study and continuation of the concepts taught in Algebra 1 and Geometry with an emphasis placed on abstract thinking skills, the function concept, and the algebraic solution of problems.


Comments