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## Basics- Algebra 2

• Order of operations
• Evaluating expressions
• Simplifying algebraic expressions

## Equations and Inequalities- Algebra 2

• Multi-step equations
• Work word problems
• Distance-rate-time word problems
• Mixture word problems
• Absolute value equations
• Multi-step inequalities
• Compound inequalities
• Absolute value inequalities

## Linear Relations and Functions- Algebra 2

• Review of linear equations
• Graphing absolute value functions
• Graphing linear inequalities

## Systems of Equations and Inequalities- Algebra 2

• Systems of two linear inequalities
• Systems of two equations
• Systems of two equations, word problems
• Points in three dimensions
• Planes
• Systems of three equations, elimination
• Systems of three equations, substitution
• Cramer’s rule:2×2,3×3

## Matrices- Algebra 2

• Basic matrix operations
• Matrix multiplication
• All matrix operations combined
• Determinants:2×2,3×3
• Matrix inverses
• Cramer’s rule:2×2,3×3
• Matrix equations:Easy,Hard
• Geometric transformations with matrices

## Complex Numbers- Algebra 2

• Operations with complex numbers
• Properties of complex numbers
• Rationalizing imaginary denominators

## Quadratic Functions and Inequalities- Algebra 2

• Properties of parabolas
• Vertex form
• Solving quadratic equations w/ square roots
• Solving quadratic equations by factoring
• Completing the square
• Solving equations by completing the square
• Solving equations with the quadratic formula
• The discriminant

## Polynomial Functions- Algebra 2

• Naming and simple operations
• Factoring a sum/difference of cubes
• Factoring by grouping
• Factoring using all techniques
• Factors and Zeros
• The Remainder Theorem
• Irrational and Imaginary Root Theorems
• Descartes’ Rule of Signs
• More on factors, zeros, and dividing
• The Rational Root Theorem
• Polynomial equations
• Basic shape of graphs of polynomials
• Graphing polynomial functions
• The Binomial Theorem

## General Functions- Algebra 2

• Evaluating functions
• Function operations
• Inverse functions

## Conic Sections- Algebra 2

• Graphing & properties of parabolas
• Equations of parabolas
• Graphing & properties of circles
• Equations of circles
• Graphing & properties of ellipses
• Equations of ellipses
• Graphing & properties of hyperbolas
• Equations of hyperbolas
• Classifying conic sections
• Eccentricity

## Radical Functions and Rational Exponents- Algebra 2

• Simplifying rational exponents
• Square root equations
• Rational exponent equations

## Sequences and Series- Algebra 2

• General sequences
• Arithmetic sequences
• Geometric sequences
• Comparing Arithmetic/Geometric Sequences
• General series
• Arithmetic series
• Arithmetic/Geometric Means w/ Sequences
• Finite geometric series
• Infinite geometric series

## Rational Expressions- Algebra 2

• Graphing simple rational functions
• Graphing general rational functions
• Simplifying rational expressions
• Multiplying / dividing rational expressions
• Adding / subtracting rational expressions
• Complex fractions
• Solving rational equations

## Trigonometry- Algebra 2

• Right triangle trig: Evaluating ratios
• Right triangle trig: Missing sides/angles
• Angles and angle measure
• Co-terminal angles and reference angles
• Arc length and sector area
• Trig ratios of general angles
• Exact trig ratios of important angles
• The Law of Sines
• The Law of Cosines
• Graphing trig functions
• Translating trig functions
• Angle Sum/Difference Identities
• Double-/Half-Angle Identities

## Exponential and Logarithmic Functions- Algebra 2

• The meaning of logarithms
• Properties of logarithms
• The change of base formula
• Writing logs in terms of others
• Logarithmic equations
• Inverse functions and logarithms
• Exponential equations not requiring logarithms
• Exponential equations requiring logarithms
• Graphing logarithms
• Graphing exponential functions

## Statistics & Probability- Algebra 2

• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutualy exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations