Subject: Mathematics

Algebra 2

Northgate Academy’s Algebra 2 course deepens students’ understanding of advanced algebraic concepts, building on the foundation laid in Algebra I. This course explores the manipulation and application of matrices to determine data relationships, diving into various function types including polynomial, logarithmic, quadratic, exponential, rational, and periodic functions.

Credits: 1.0

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Course Description

Providing further insight into advanced algebraic concepts, this two-semester course serves as an extension of Algebra I. Algebra II develops students’ ability to manipulate and use matrices in various formats to determine data relationships and also delve into function types such as polynomial, logarithmic, quadratic, exponential, and rational and periodic. High school level students will have the skills needed for state standardized tests and national exit exams upon completion of the course.

Textbook: Algebra II Techbook – Discovery Education

Course Objectives

Identify similarities between the real and complex number system.

Recognize all functions as mappings between domain and range sets.

Understand that linear and quadratic functions are a subset of polynomial functions.

Model real-world problems using polynomial and transcendental functions.

Apply advance probabilistic methods to make decisions, and perform statistical analysis.

Incorporate technology in modeling and solving problems.

Starting is Easy

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Course Contents

Modules
Recursive, Explicit, and Inverse Functions
Exponents and Logarithms
Real and Complex Solutions
Conic Sections
Multivariate Equations and Inequalities
Polynomial Expressions and Equations
Rational Expressions and Equations
Rational Functions
Trigonometry
Probability
Data Modeling

Recommended Prerequisites

Carnegie Credits Explained: Our Approach vs. Trimester Credits

Carnegie Credit System
Northgate Academy 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, Northgate’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.