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# Infinite Algebra 2

 Infinite Algebra 2 covers all typical Algebra 2 material, beginning with a few major Algebra 1 concepts and going through trigonometry. There are over 125 topics in all, from multi-step equations to trigonometric identities. Suitable for any class with advanced algebra content. Designed for all levels of learners, from remedial to advanced.

View as text in:   Index Order     Suggested Order

Comparison of topics in each program

Common Core alignment

### Beginning Algebra

• Order of operations
• Simplifying algebraic expressions

### Equations and Inequalities

• 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

• Graphing linear equations
• Writing linear equations
• Graphing absolute value equations
• Graphing linear inequalities

### Systems of Equations and Inequalities

• Graphing systems of linear inequalities
• Solving systems by graphing (2 variables)
• Solving systems by elimination (2 variables)
• Solving systems by substitution (2 variables)
• Systems of equations word problems (2 variables)
• Points in three dimensions
• Planes
• Solving systems with three variables

### Matrices

• Operations
• Determinants
• Inverses
• Cramer's Rule
• Equations
• Geometric transformations

### Complex Numbers

• Operations
• Graphing
• Absolute value
• Rationalizing denominators

### Quadratic Functions and Inequalities

• Graphing quadratic functions
• Graphing quadratic inequalities
• Factoring quadratic expressions
• Factoring special case quadratic expressions
• Solving equations by taking square roots
• Solving equations by factoring
• Completing the square
• Solving equations by completing the square
• Solving equations with the Quadratic Formula
• The discriminant

### Polynomial Functions

• Naming
• Adding and subtracting
• Multiplying
• Multiplying special cases
• The Binomial Theorem
• Dividing
• Factoring by grouping
• Factoring a sum/difference of cubes
• Factoring quadratic form
• Factoring, all techniques
• The Remainder Theorem
• Writing functions
• Conjugate roots & factoring
• Conjugate roots & writing functions
• Descartes' Rule of Signs
• Rational Zero/Root Theorem
• Fundamental Theorem of Algebra
• Solving polynomial equations
• End behavior and general graph shape
• Graphing

• Evaluating
• Operations
• Inverses

### Radical Functions and Rational Exponents

• Simplifying radicals
• Adding and subtracting radical expressions
• Multiplying radical expressions
• Dividing radical expressions
• Connecting radical expressions and rational exponents
• Evaluating rational exponent expressions
• The properties of exponents
• Radical equations
• Rational exponent equations
• Graphing radical equations
• Domain and range of radical functions

### Conic Sections

• Parabolas, graphing & properties
• Parabolas, writing equations
• Circles, graphing & properties
• Circles, writing equations
• Ellipses, graphing & properties
• Ellipses, writing equations
• Hyperbolas, graphing & properties
• Hyperbolas, writing equations
• Classifying
• Systems of quadratic equations

### Rational Expressions

• Graphing
• Simplifying
• Multiplying and dividing
• Adding and subtracting
• Complex fractions
• Equations

### Exponential and Logarithmic Expressions

• Graphing exponential functions
• Exponential equations not requiring logarithms
• Exponents and logarithms
• Evaluating logarithms
• Logarithms and exponents as inverses
• Properties of logarithms
• Writing logs in terms of others
• Exponential equations requiring logarithms
• Inverses of
• Logarithmic equations, simple
• Logarithmic equations, hard
• Graphing logarithmic functions

### Sequences and Series

• General sequences
• Arithmetic sequences
• Geometric sequences
• Arithmetic and geometric mean
• General series
• Arithmetic series
• Geometric series

### Trigonometry

• Angles and angle measure
• Radians and degrees
• Degrees and degrees-minutes-seconds
• Coterminal angles
• Arc length and sector area
• Right triangle trig: Finding ratios
• Right triangle trig: Finding angle measures
• Right triangle trig: Finding angles and sides
• Trig functions of any angle
• The Law of Sines
• The Law of Cosines
• Area and Laws of Sines and Cosines
• Graphing trig functions
• Angle sum/difference identities
• Double-angle/half-angle identities
• Equations

### Probability and Statistics

• Sample spaces & Fundamental Counting Principle
• Probability of independent and dependent events
• Independent and dependent events, word problems
• Probability of mutually exclusive events
• Mutually exclusive events, word problems
• Permutations
• Combinations
• Permutations vs combinations
• Probability with permutations and combinations

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Infinite Algebra 2
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