Mathematics

• Credits: 20

• Non College Prep Course: AB (1st semester)

• College Prep Course: BC (2nd semester)

This double-blocked Math I course will build on and extend skills learned in middle school while developing mastery and understanding of fundamental algebraic and geometric concepts, properties and skills. Students will explore the content of Math I with double the time of exposure with a focus on conceptual understanding and symbolic reasoning. The Mathematical Practice Standards apply throughout the one-year course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

• Credits: 10

• College Prep Course

The fundamental purpose of the Math I course is to formalize and extend students’ understanding of linear, exponential, and absolute value functions and their applications.  Students will learn how to differentiate between linear and nonlinear functions (most specifically, exponential functions), and will expand these concepts to understand arithmetic and geometric sequences. Math I uses properties and theorems involving congruent figures to deepen and extend geometric knowledge gained in prior grade levels. Additionally, students will learn introductory univariate and bivariate statistics. Throughout the course, student learning will focus on modeling and problem solving in order to promote the application of mathematics in real world settings. 

• Credits: 20

• College Prep Course

This double-blocked Math II course will build on and extend skills learned in Math I while developing mastery and understanding of fundamental algebraic and geometric concepts, properties and skills. Students will explore the content of Math II with double the time of exposure with a focus on conceptual understanding and symbolic reasoning. The Mathematical Practice Standards apply throughout the one year course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

• Credits: 10

• College Prep Course

Math II is the second course in the college preparatory math sequence. Instructional time will focus on five critical areas: extending the laws of exponents to rational exponents; comparing key features of quadratic functions with those of linear, exponential functions, and absolute value functions; creating and solving equations and inequalities involving linear, exponential, absolute value, and quadratic expressions, including those with complex solutions; extending work with probability; and establishing criteria for similarity.  This course is aligned with the Common Core State Standards.

• Recommended Placement: Based on Standardized test scores and teacher recommendation

• Credits: 10

• College Prep Course

Enhanced Math II is the first course in the rigorous accelerated sequence of high school math courses. The seven major focuses are: 1) expanding understanding of functions to include quadratic and absolute value functions, 2) extending the laws of exponents to rational exponents, 3) creating and solving equations and inequalities to include complex solutions, 4) understanding similarity and right triangle trigonometry, 6) extending work with probability and similarity, and 7) expanding geometric reasoning to include the properties of circles.  This course is aligned with the California Common Core State Standards.

• Credits: 10

• College Prep Course

Math III is the third course in the college preparatory math sequence. The four major focuses are: expanding understanding of functions to include polynomial, rational, radical, and logarithmic functions; building on right triangle trigonometry to include general triangles and trigonometric functions and graphs; being able to model and solve real-life situations through the use of appropriate functions and geometry; and applying methods from probability and statistics to draw inferences and conclusions from data.  This course is aligned with the California Common Core State Standards. 

• Credits: 5

• Math Lab is a Non College Prep Course: 5 credits.  Students will earn a grade of P or F only, no letter grades will be issued.

Math Foundations is open to students who earned an F in Math 2A or Math 3A and have not met minimum mastery to move on to Math 2B or Math 3B.  The goal of this course is to remediate gaps in student learning.   Learning will be personalized based on assessment and observation.  The goal is to better prepare students to repeat Math 2 or 3 next school year and be successful.

• Credits: 10

• Transitional Algebra is a Non College Prep Course: 10 credits

Transitional Algebra is open to students who earned an F in Math 1AB Solid and have not met minimum mastery to move on to Math 1CD Solid.  The goal of this course is to remediate gaps in student learning with a specific focus on integers, simplifying, exponents, solving equations, graphing and writing lines. Learning will be personalized based on assessment and observation.  The goal is to better prepare students to repeat Math 1 next school year and be successful. 

The class is non college prep and is worth 10 credits. Students will earn a letter grade.   

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Directed Math 1 is a special education class, consisting of specialized academic instruction, focused on the essential standards of Math 1. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student’s individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team.

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Directed Math 1 AB is a special education class, consisting of specialized academic instruction, focused on the essential standards of Math 1 AB. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student’s individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team.

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Directed Math 1 CD is a special education class, consisting of specialized academic instruction, focused on the essential standards of Math 1 CD. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student’s individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team.

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Directed Math 2 is a special education class, consisting of specialized academic instruction, focused on the essential standards of Math 2. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student’s individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team.

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Practical Mathematics is a special education class, consisting of specialized academic instruction, focused on developing both procedural skills and conceptual understanding leading to the application of mathematical concepts. Course domains may include numbers and operations, algebra and algebraic thinking, measurement and data, and geometry. Students will solve real-life problems using a variety of mathematical operations and tools. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student’s individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team. 

• Recommended Placement: IEP Team Recommendation 

• Credits: 10 

Functional Math is a special education class, consisting of specialized academic instruction, developed based on individual needs and IEP goals, and focused on applied computational math processes in daily living experiences. Discrimination, number concepts, time concepts, vocabulary, vocational arithmetic, banking skills, budgeting, and consumer skills are included. Enrollment in this class is based on an IEP team recommendation, and the curricular focus is based on the student's individual needs (accommodations, modifications, and identified goals) agreed to by the IEP team.

• Credits: 10

• College Prep Course

College Prep Business Finance is a two semester course, and it is an alternative to Math III in the college preparatory math sequence.  Students will learn how to apply mathematical concepts from Math I, II, and III as tools for personal and business finance.  This includes applying polynomial functions to the stock market, rational functions to budgeting, radical functions to the purchasing and maintenance of autos and housing, logarithmic functions to investing money, trigonometric functions to the cyclical behavior of business finance, and probability and statistics to draw inferences and make decisions when modeling a business.  The students will also apply their knowledge from previous courses for banking, credit, salaries and taxes, and money management. This course is aligned with the California Common Core State Standards.

• Credits: 10

• College Prep Course

Explorations in Data Sciences is a two semester Math Elective course that is taken after Business Finance. 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.

• Credits: 10

• College Prep Course

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, 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)

• Advanced Placement Course

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)

• Advanced Placement Course

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.

Note:  Students may not enroll in AP Calculus AB after dropping AP Calculus BC during the same school year.

• Credits: 10 (Weighted Grade)

• Advanced Placement Course

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, numerical 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.

Note:  Students may not enroll in AP Calculus AB after dropping AP Calculus BC during the same school year.

• Credits: 10 (Weighted Grade)

• Advanced Placement Course

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.

This class may be taken concurrently with Enhanced Math III or after completion of Math III or EM3.

• Recommended Placement: Math II or higher with a grade of B or better or Completion of AP Computer Science Principles 

• Credits: 10 (weighted grade)

• Advanced Placement Course

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:

1. Understand the advantages of a compiled language

2. Understand basic program structure, JAVA syntax, and organization

3. Use the classes and methods located in the JAVA library

4. Design programs using object oriented design

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

6. Write programs involving recursion

7. Write programs using advanced sorting and searching techniques