03-Algebra II

Overview

Algebra II develops higher-level symbolic reasoning and prepares students for precalculus, calculus, statistics, computer science, economics, engineering, and the physical sciences. Students explore increasingly complex algebraic structures, multiple function families, and mathematical modeling techniques used throughout modern quantitative disciplines.

Table of Contents

1. Chapter 1: Algebra II Readiness and Function Review — MGU Mathematics Series
2. Chapter 2: Linear Systems, Matrices, and Modeling
3. Chapter 3: Quadratic Functions in Depth
4. Chapter 4: Complex Numbers
5. Chapter 5: Polynomial Functions
6. Chapter 6: Polynomial Equations and Theorems
7. Chapter 7: Rational Expressions and Functions
8. Chapter 8: Radical Functions and Rational Exponents
9. Chapter 9: Exponential Functions
10. Chapter 10: Logarithmic Functions
11. Chapter 11: Sequences and Series
12. Chapter 12: Conic Sections
13. Chapter 13: Trigonometric Foundations
14. Chapter 14: Probability, Statistics, and Algebraic Decision-Making

Learning Outcomes

• Analyze and manipulate polynomial, rational, radical, exponential, and logarithmic expressions.
• Solve advanced algebraic equations and systems of equations.
• Interpret and graph a wide variety of functions.
• Model real-world phenomena using algebraic functions and equations.
• Apply algebraic reasoning to scientific, engineering, and quantitative problems.
• Develop readiness for precalculus and calculus.