MATHEMATICS ELECTIVES

Credits:10

College Prep Course Alternate to MATH 3

UC / CSU approved

Business Finance is a two semester course. Students will learn how to apply mathematical concepts as a tool in their personal and business lives. Upon completion, students will understand terminology relating to personal and business mathematics applications.  Topics include budgeting, banking, credit, investing money, purchasing of autos and housing, life and health insurance, salaries and taxes, money management, and business careers. They will use common mathematical formulas and skills like whole numbers, decimals, fractions, ratios and percent as they relate to these topics. 

Credits:10

College Prep Elective Math Course

UC / CSU approved

Explorations in Data Science looks at data to gain meaningful insights to business and society. It is a multidisciplinary approach that combines principles and practices from the fields of mathematics, statistics, artificial intelligence, and computer engineering to analyze data.  This course will introduce students to the main ideas in data science through free tools such as Google Sheets, Python, Data Commons and Tableau. Students will learn to be data explorers in project-based units, through which they will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more. This class is follows the pathway sequence after Business Finance.

Credits:10

College Prep Course

UC / CSU approved

Math IV is the final class in the college prep integrated math sequence.  It is designed for the student who has successfully completed Math III. Topics previously studied in the Integrated Math I, Integrated Math II, and Integrated Math III courses are examined more closely.  New topics include polar coordinates, average rate of change vs. instantaneous rate of change, limits and continuity. This course prepares students for AP Calculus AB.

Irvine Valley College Dual Enrollment Course

Transfers: 5 units CSU, UC Transferable

Prerequisite: Counselor approval and successful completion of AP Calculus BC with a "B" grade or higher.  This course will be offered as a zero period class (7-8:25AM) Tuesday/Thursday on Irvine High's campus during the Fall Semester.

Studies vectors and parametric equations, partial differentiation, functions of two or more variables, gradients, higher-order derivatives, multiple integrals, cylindrical and spherical coordinates, vector functions and their derivatives, vector fields, surface and line integrals, the theorems of Green and Stokes, and the Divergence Theorem. 

Irvine Valley College Dual Enrollment Course

Transfers: 4 units CSU, UC Transferable

Prerequisite: Counselor approval and successful completion of AP Calculus BC with a ‘B’ or better.

This course will be offered as a zero period class (7-8:25AM) Tuesday/Thursday on Irvine High's campus during the Spring Semester.

This course introduces the concepts of linear algebra. Studies include vectors; vector spaces and subspaces; matrices; systems of linear equations; dimension; determinants; eigenvalues and eigenvectors; and linear transformations and their applications. 

Irvine Valley College Dual Enrollment Course

Transfers: 4 units CSU, UC Transferable

Prerequisite: Counselor approval and successful completion of AP Calculus BC with a ‘B’ or better.

Evening Class at Irvine Valley College

Includes the study of first-order differential equations, second- and higher-order linear differential equations, equations with constant coefficients, Laplace transforms, and systems of equations. May be taken concurrently with MATH 26 or MATH 4A. Credit in either MATH 24 or 24H, but not both. 

Credits: 10      (Weighted Grade)   

College Prep Course

UC / CSU approved

This course is designed to foster the development of a deep conceptual understanding of functions. The formal study of a function type through multiple representations (e.g., graphical, numerical, verbal, analytical), coupled with the application of the function type to a variety of contexts, provides students with a rich study of Precalculus. Building upon previous work, students will learn about polynomial, rational, radical, exponential, logarithmic, trigonometric, and polar functions. Additional topics (not included on AP Exam) such as parametric functions, conic sections, vectors, and matrices are included in AP Precalculus curriculum. The topics covered in this course will prepare students for AP Calculus BC or first year college Calculus. 

Credits: 10      (Weighted Grade)   

College Prep Course

UC / CSU approved

AP Calculus AB is a course for students who have completed Math IV or Enhanced Math III successfully.  Students will study major topics of mathematics outlined by the College Board including: limits and continuity, derivatives, applications of derivatives, integrals, and differential equations. 

Credits: 10 (weighted Grade)

College Prep Course

UC / CSU approved

This class is designed to provide students with a clear understanding of the ideas of calculus as a solid foundation for subsequent courses in mathematics and other disciplines. Students will develop their calculus skills through graphical, numeric and algebraic methods. This college level course covers topics as outlined by the College Board including limits and continuity, derivatives, integrals, differential equations, Taylor series, parametric/polar/vector functions, and applications.

Credits: 10    (Weighed Grade)            

College Prep Courses

UC / CSU approved

AP Statistics is intended for students planning to major in mathematics or science in college.  The class incorporates the use of a graphing calculator. Topics included are probability, random variables, measures of central tendency, inference, designing experiments and simulations, and displaying data.

Credits: 10 (Weighted Grade)

College Prep Course

UC / CSU approved

The curriculum is aligned to the CA CTE Model Curriculum Standards and Career Ready Standards for the Sector Information and Communication Technologies and Software & Systems career pathway.  AP Computer Science is a college level course that covers the design, development, testing, and debugging of computer programs using JAVA programming language. The course is designed to serve as a first course in computer science for students with no prior computing experience. Emphasis will be placed on the study of JAVA syntax, object-oriented programming, problem solving, and algorithmic development. This course will prepare students for the College Board’s Advanced Placement Computer Science A examination.

Upon completion of the course, students will be able to:

• Understand the advantages of a compiled language

• Understand basic program structure, JAVA syntax, and organization

• Use the classes and methods located in the JAVA library

• Design programs using object oriented design

• Write JAVA programs using arrays, array lists, two dimensional arrays, classes and objects

• Write programs involving recursion

• Write programs using advanced sorting and searching techniques