Algebra+2+Course+Outline

__1. Tools of Algebra__
• Properties of Real Numbers • Algebraic Expressions • Solving Equations • Solving Inequalities • Absolute Value Equations and Inequalities • Probability

__2. Functions, Equations, and Graphs__
• Relations and Functions • Linear Equations • Direct Variation • Using Linear Models • Absolute Value Functions and Graphs • Families of Functions • Two-Variable Inequalities

__3. Linear Systems__
• Graphing Systems of Equations • Solving Systems Algebraically • Systems of Inequalities • Linear Programming • Graphs in Three Dimensions • Systems with Three Variables

__4. Matrices__
• Organizing Data Into Matrices • Adding and Subtracting Matrices • Matrix Multiplication • 2x2 Matrices, Determinants, and Inverses • 3x3 Matrices and Determinants • Inverse Matrices and Systems • Augmented Matrices and Cramer’s Rule

__5. Quadratic Equations and Functions__
• Modeling Data with Quadratic Functions • Properties of Parabolas • Transforming Parabolas and Vertex Form • Factoring Quadratic Expressions • Quadratic Equations • Complex Numbers • Completing the Square • The Quadratic Formula

__6. Quadratic Relations and Conic Sections__
• Exploring Conic Sections • Parabolas • Circles • Ellipses • Hyperbolas • Translating Conic Sections

__7. Polynomials and Polynomial Functions__
• Polynomial Functions • Polynomials and Linear Factors • Dividing Polynomials • Solving Polynomial Equations • Fundamental Theorem of Algebra • Permutations and Combinations • Binomial Theorem

__8. Radical Functions and Rational Exponents__
• Roots and Radical Expressions • Multiplying and Dividing Radical Expressions • Binomial Radical Expressions • Rational Exponents • Solving Square Root and Other Radical Equations • Function Operations • Inverse Relations and Functions • Graphing Square Root and Other Radical Functions

__9. Exponential and Logarithmic Functions__
• Exploring Exponential Models • Properties of Exponential Functions • Logarithmic Functions as Inverses • Properties of Logarithms • Exponential and Logarithmic Equations • Natural Logarithms

__10. Rational Functions__
• Inverse Variation • Rational Functions and Their Graphs • Rational Expressions • Adding and Subtracting Rational Expressions • Solving Rational Equations

__11. Probability and Statistics__
• Probability Distributions • Conditional Probability • Analyzing Data • Standard Deviation • Working With Samples • Binomial Distributions • Normal Distributions