Algebra 2

Real Numbers, Algebraic Properties, Exponents, and Square Roots.

:** Equations with One Variable, Solving Common Formulas.

Solving and Graphing Linear Inequalities, Compound Inequalities (And/Or).

Solving and Graphing Absolute Value Equations and Inequalities.

Coordinate Plane.

Introduction to relations and Functions

Evaluating functions and function notation

Operation with functions

Composition functions

Inverse Relations and Inverse Functions

Graphs of parent Function

Translations

Stretching/Compressing and Reflections of Functions

Slope, Graphing Linear Functions

Writing equations in various forms (slope intercept, point-slope, Standard)

Parallel and Perpendicular Lines

Graphing linear inequalities in two variables

Piecewise functions

Solving two variable systems by graphing, substitution and elimination methods

Solving linear inequalities by graphing

Linear Programming

Applications

Solving a linear equation with three variables

Introduction to matrices

Scalar Multiplication

Addition, Subtraction and multiplication of matrices

The Identity of matrices

Determinant of 2x2 and 3x3 matrices

Cramers Rule

Finding inverse of 2x2 Matrix

Using Inverse of Matrices to solve Systems

Using Row Operations and Augmented Matrices

Graphing quadratic function in vertex, Standard and Intercept Forms

Greatest Common Factor, Grouping, Factoring Quadratic expressions, Difference of two perfect squares, Perfect square Trinomials

Completing the square to change quadratic forms

Graphing and Solving quadratic inequalities

Complex Numbers

Complex and Imaginary Numbers

Conjugate Pairs

Power of 'i'

Operations with Complex Numbers

Solving Quadratic equations by Factoring

Taking Square roots

Completing the Square 

Quadratic Formula

Analyzing the Discriminant

Solving Quadratic Inequalities Algebraically

Classifying Polynomials, Evaluating Functions

Adding Subtracting and Multiplying Polynomials

Binomial Expansion

Long Division

Synthetic Division

Remainder theorem

Factor Theorem

Factoring (Grouping, Sum, Difference of two cube)

Fundamental Theorem of Algebra,

Rational root Theorem

Writing Polynomials Given Roots(Complex/traditional) 

End Behavior  of polynomials

Introduction to nth Roots

Radical form

Simplifying nth Roots

Rationalizing the Denominator

Properties of Rational Exponents

Graphing Radical Functions and Inequalities

Solving Equations with Radicals

Extraneous Solutions

Simplifying Rational Expressions

Multiplying, Dividing, Adding and Subtracting Rational Expressions 

Simplifying Complex Expression

Graphing Rational Functions

Asymptotes

Holes

Solving and Variation

Solving Rational Equations

Direct, Inverse, Joint and Combined Variation

Exponential Growth and decay

Compound Interest

Graphing Exponential Equations

Introduction to Logarithms

Logarithmic Form vs Exponential Form

Evaluating Logarithms

Change of base Forms

Properties of Logarithms

Expanding and Condensing Logarithmic Expressions

Graphing Logarithmic Functions

Graphing Logarithmic Functions

Solving Exponential and Logarithmic Equations.

Graphing Parabolas (Vertex at (0,0) and (h,k)).

Graphing Circles (Center at (0,0) and (h,k))

Graphing Ellipses (Center at (0,0) and (h,k)).

Graphing Hyperbolas (Center at (0,0) and (h,k)).

Classifying Conic Sections, Putting Conic Equations in Standard Form.