Algebra 2

Expanding on Algebra I Concepts: Quadratics, Polynomials, Rational Functions, Etc

Introduction to Complex Numbers, Exponentials, and Logarithms

Developing Advanced Problem-Solving and Mathematical Thinking Skills

Applications of Algebra in Real-Life Situations and Higher-Level Math

Review of Functions: Linear, Quadratic, Absolute Value, and Piecewise

Operations with Functions: Addition, Subtraction, Multiplication, Division

Inverse Functions: Finding and Graphing Inverses

Transformations of Functions: Shifting, Stretching, Reflecting

Graphing and Solving Rational Functions: Domain and Asymptotes

Factoring Higher-Degree Polynomials

Solving Polynomial Equations Using the Factor Theorem and Rational Root Theorem

Operations with Rational Expressions

Solving Rational Equations

Real-World Applications of Rational Expressions

Introduction to Imaginary and Complex Numbers

Operations with Complex Numbers: Addition, Subtraction, Multiplication, Division

The Complex Plane and Polar Form of Complex Numbers

Solving Quadratic Equations with Complex Solutions

Exponential Functions and Growth/Decay Models

The Natural Exponential Function and the Number e

Logarithmic Functions: Definition, Graphing, and Properties

Solving Exponential and Logarithmic Equations

The Relationship Between Exponentials and Logarithms

Applications in Finance (Compound Interest, Population Growth)

Solving Systems of Nonlinear Equations (Quadratic, Exponential, etc.)

Solving Systems of Equations Using Substitution, Elimination, and Graphing

Systems of Inequalities: Graphing and Solutions

Linear Programming and Real-World Applications

Arithmetic Sequences: Explicit and Recursive Formulas

Geometric Sequences: Finding Terms, Sum of a Geometric Series

Recursive Functions and Applications of Sequences and Series

Using Sequences in Real-Life Applications

Introduction to Matrices: Operations (Addition, Subtraction, Multiplication)

Determinants and Inverses of Matrices

Using Matrices to Solve Systems of Equations

Applications of Matrices in Real-Life Problems (Economics, Engineering)

Solving Quadratic Equations Using the Quadratic Formula and Completing the Square

Graphing Parabolas and Identifying Key Features (Vertex, Axis of Symmetry)

Introduction to Conic Sections: Circles, Ellipses, Hyperbolas, Parabolas

Solving and Graphing Equations of Conic Sections

Advanced Probability: Permutations, Combinations, and Probability Distributions

Expected Value and Real-World Applications of Probability

Descriptive Statistics: Standard Deviation, Variance, and Z-Scores

Normal Distribution and the Empirical Rule

Using Probability in Real-Life Applications: Games, Predictions

Quizzes, Tests, and Final Exam

Project-Based Assessments and Problem Solving

Group Work and Collaborative Learning Activities

Homework and Practice Problems

Reviewing Key Topics for Pre-Calculus: Exponentials, Logarithms, Complex Numbers

Building Mathematical Thinking for Advanced Topics in Calculus and Beyond