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.
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
Relations and
Introduction to Functions
Discrete relations
Continuous relations
Evaluating and graphing functions
Linear
Relations and Functions
Graphing linear equations
Writing linear equations
Graphing absolute value equations
Graphing linear inequalities
Direct and Inverse Variation
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
General
Functions
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
Discrete exponential growth and decay word problems
Continuous exponential growth and decay word problems
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 and the Fundamental Counting Principle
Probability of independent and dependent events, word problems
Probability of independent and dependent events
Probability of mutually exclusive events, word problems
Probability of mutually exclusive events
Permutations
Combinations
Permutations vs combinations
Probability with permutations and combinations