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Topics Covered by 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.

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Comparison of topics in each program

Common Core alignment

The Basics
The order of operations
Evaluating expressions
Simplifying algebraic expressions
Equations and Inequalities
Solving multi-step equations
Work word problems
Distance-rate-time word problems
Mixture word problems
Solving absolute value equations
Solving multi-step inequalities
Solving compound inequalities
Solving 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 two linear inequalities
Solving systems of two linear equations by graphing
Solving systems of two linear equations by elimination
Solving systems of two linear equations by substitution
Systems of two equations word problems
Points in three dimensions
Solving systems of three linear equations by elimination
Solving systems of three linear equations by substitution
Basic matrix operations
Matrix multiplication
Matrix inverses
Cramer's Rule
Matrix equations
Geometric transformations with matrices
Complex Numbers
Adding / subtracting / multiplying / absolute value of complex numbers
Graphing complex numbers
Rationalizing imaginary denominators
Quadratic Functions and Inequalities
Graphing quadratic functions
Solving quadratic equations by graphing
Factoring quadratic trinomials
Factoring special case trinomials
Solving quadratic equations by taking square roots
Solving quadratic equations by factoring
Completing the square
Solving quadratic equations by completing the square
Solving quadratic equations using the Quadratic Formula
The discriminant
Graphing quadratic inequalities
Polynomial Functions
Naming polynomials
Adding / subtracting / multiplying polynomials
The Binomial Theorem
Dividing polynomials
Factoring by grouping
Factoring sum/difference of cubes
Factoring quadratic form
Synthetic division and synthetic substitution
The Remainder Theorem and The Factor Theorem
Imaginary Root Theorem and Irrational Root Theorem
Polynomials, factors, and roots
Writing polynomial functions
The Rational Root Theorem
Descartes' Rule of Signs
The Fundamental Theorem of Algebra
Solving polynomial equations, all methods
End behavior of polynomial functions
Sketching the general shape of polynomial functions
Graphing polynomial functions, including minima/maxima
Solving polynomial functions by graphing
General Functions
Evaluating functions
Function operations
Inverse functions
Radical Functions and Rational Exponents
Simplifying radical expressions
Operations with radical expressions
Dividing radical expressions
Relating rational exponents and radical expressions
Evaluating rational exponent expressions
The laws of exponents
Solving radical equations
Solving rational exponent equations
Graphing radical functions
Domain and range of radical functions
Conic Sections
Properties of parabolas
Writing equations of parabolas
Properties of circles
Writing equations of circles
Properties of ellipses
Writing equations of ellipses
Properties of hyperbolas
Writing equations of hyperbolas
General conic sections
Systems of quadratic relations
Rational Expressions
Graphing simple rational expressions
Graphing general rational expressions
Simplifying rational expressions
Multiplying / dividing rational expressions
Adding / subtracting rational expressions
Complex fractions
Solving rational equations
Exponential and Logarithmic Functions
Graphing exponential functions
Solving exponential equations not requiring logarithms
Rewriting logarithms
Evaluating logarithms
Logarithms and exponential functions as inverses
Properties of logarithms
Common logarithms
Natural logarithms
Solving exponential equations requiring logarithms
Solving logarithmic equations
Graphing logarithmic functions
Sequences and Series
General sequences
Arithmetic sequences
Geometric sequences
Arithmetic and geometric mean
General series
Arithmetic series
Geometric series
Infinite geometric series
Angles and angle measure
Radians and degrees
Coterminal angles
Arc length and sector area
Right triangle trig.
Trig. functions of general angles
The Law of Sines
The Law of Cosines
Heron's Formula
Graphing trig. functions
Translations of trig. functions
Angle sum and angle difference identities
Half-angle and double-angle identities
Trig. equations, neither factoring nor identities required
Statistics and Probability
The Fundamental Counting Principle
Independent and dependent events
Independent and dependent events word problems
Mutually exclusive events
Mutually exclusive events word problems
Combinations vs permutations
Probability using combinations and permutations
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