Algebra 2

0A: Linear Functions

• Recursive Sequences

• Applications of Arithmetic Sequences

• Sum of an Arithmetic Sequence

• Linear Relationships and Slope-Intercept Form

• Standard Form and Point-Slope Form

• Solving Equations and Inequalities

• Solving Absolute Value Equations and Inequalities

0B: Systems and Scatter Plots

• Solving Systems of Equations by Graphing

• Solving Systems of Equations by Substitution

• Solving Systems of Equations by Elimination

• Solving Systems of Equations with Matrices

• Modeling Data Using Scatterplots and Correlation

• Graphing Linear Inequalities

• Linear Programming

1: Quadratic Functions and Factoring

• Graph Quadratic Functions in Standard Form

• Analyze Graphs of Quadratic Functions

• Graph Quadratic Functions in Vertex (Intercept) Form

• Solve Quadratic Equations (x^2+bx+c=0) by Factoring

• Solve Quadratic Equations (ax^2+bx+c=0) by Factoring

• Solve Quadratic Equations by Finding Square Roots

• Perform Operations with Complex Numbers

• Completing the Square

• Use the Quadratic Formula and the Discriminant

2: Polynomials and Polynomial Functions

• Use Properties of Exponents

• Evaluate and Graph Polynomial Functions

• Add, Subtract, and Multiply Polynomials

• Factor and Solve Polynomial Equations

• Divide (Factor) Polynomials (Apply Remainder and Factor Theorems)

• Find Rational Zeros

• Apply the Fundamental Theorem of Algebra

3: Rational Exponents and Radical Functions

• Evaluate nth Roots and Use Rational Exponents

• Apply Properties of Rational Exponents

• Perform Function Operations and Composition

• Use Inverse Functions

• Graph Square Root and Cube Root Functions

• Solve Radical Equations

4: Exponential & Logarithmic Functions

• Graph Exponential Growth Functions

• Graph Exponential Decay Functions

• Use Functions Involving e

• Evaluate Logarithms and Graph Logarithmic Functions

• Apply Properties of Logarithms

• Solve Exponential and Logarithmic Equations

5: Rational Functions

• Model Inverse and Joint Variation

• Graph Simple Rational Functions

• Multiply and Divide Rational Expressions

• Add and Subtract  Rational Expressions

• Solve Rational Equations

9: Trigonometric Ratios and Functions

• Use Trigonometry with Right Triangles

• Define General Angles and Use Radian Measure

• Evaluate Trigonometric Functions of Any Angle 

• Evaluate Inverse Trigonometric Functions

• Apply the Law of Sines

• Apply the Law of Cosines

10: Trigonometric Functions and Graphs

• Graph Sine, Cosine, and Tangent Functions

• Graph Basic Reciprocal Functions