Subject: Mathematics

Algebra 2

Master advanced algebraic concepts in this 11th-grade Algebra 2 course, covering functions, equations, trigonometry, probability, and statistics through interactive lessons and real-world applications.

Course Type: Standard High School

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Credits: 1.0

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Course Description

Algebra 2 builds on the skills learned in Algebra 1 and Geometry to prepare students for higher-level math and a wide range of STEM pathways. Designed for most students in the 11th grade, this course deepens understanding of algebraic concepts while introducing new topics essential for college and career readiness. Students explore polynomial, rational, exponential, logarithmic, radical, and trigonometric functions, as well as sequences, series, probability, and statistics.

Through nine comprehensive modules, learners develop strong problem-solving abilities and mathematical reasoning skills by engaging with interactive readings, video tutorials, practice problems, and assessments. Real-world scenarios and STEM-focused applications connect abstract concepts to everyday problem-solving. Graphing technology is integrated throughout the course to help students analyze and interpret functions, data, and models.

By the end of Algebra 2, students will be able to identify and analyze multiple types of functions, solve complex equations, apply trigonometric identities, interpret data using statistical methods, and model real-world situations mathematically. This course provides a solid foundation for advanced math courses such as Precalculus and serves as a critical stepping stone toward success in college-level mathematics and science courses.

Course Objectives

Identify and analyze various types of functions and their characteristics.

Solve linear, quadratic, polynomial, exponential, logarithmic, rational, and radical equations.

Apply mathematical models to real-world problems.

Use graphing technology to represent and interpret functions and data.

Demonstrate understanding of sequences, series, and trigonometric identities.

Apply statistical methods and probability concepts to interpret data.

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Course Contents

Module TitleModule Topic(s)
Functions and Equations

Learn how to analyze functions by identifying domain, range, transformations, and solving quadratic and systems of equations.

Polynomial Functions and Equations

Explore how to graph, factor, and solve polynomial equations while applying polynomial models to real-world situations.

Rational Exponents and Radical Functions

Work with rational exponents, simplify radical expressions, and investigate radical functions in mathematical and real-life contexts.

Exponential and Logarithmic Functions and Equations

Study exponential growth and decay, logarithms, and inverse relationships to solve equations and model real-world problems.

Rational Functions and Equations

Examine rational functions by graphing, identifying asymptotes, and solving rational equations.

Sequences and Series

Discover arithmetic and geometric sequences, series, and sigma notation to describe and analyze numerical patterns.

Trigonometric Functions and Identities

Learn to use the unit circle, graph trigonometric functions, and simplify trigonometric identities.

Understanding and Applying Probability

Apply probability concepts to simple and compound events, experiments, and decision-making models.

Statistics

Analyze data distributions, explore normal and binomial models, and use inference and confidence intervals.

Recommended Prerequisites

Algebra 1

Credits: 1.0

Course Type: Standard High School

Course Subject: Mathematics

Carnegie Credits Explained: Our Approach vs. Trimester Credits

Carnegie Credit System
Excel High School follows the Carnegie Credit system, a widely recognized method of measuring student progress based on instructional hours. A single Carnegie credit reflects approximately 120 hours of coursework, typically completed over a full academic year.

Carnegie Credit vs. Trimester Credit
While Carnegie credits are awarded based on total hours over a year, trimester credits divide the school year into three terms. In a trimester system, students complete courses in shorter, intensive sessions, often earning partial credits (e.g., 0.33 or 0.5 per term). In contrast, Excel’s use of Carnegie credits ensures students have ample time to engage deeply with the material and develop a well-rounded understanding at a consistent pace.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.