MATHEMATICS OVERVIEWIn 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.
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. |