# Content Comparison

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Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus
Integers, Decimals, and Fractions
Naming decimal places and rounding
Writing numbers with words
Adding and subtracting
Multiplying
Dividing
Factoring
Greatest common factor
Least common multiple
Simplifying fractions
Converting fractions and decimals
Beginning Algebra
Verbal expressions
Order of operations
The Distributive Property
Sets of numbers
Equations
One-step equations, word problems
Two-step equations
Two-step equations word problems
Multi-step equations
One-step equations
Absolute value equations
Mixture word problems
Distance, rate, time word problems
Work word problems
Literal equations
Inequalities
Graphing single-variable inequalities
One-step inequalities
Two-step inequalities
Multi-step inequalities
Compound inequalities
Absolute value inequalities
Factors and Exponents
Divisibility
Properties of exponents
Writing scientific notation
Operations and scientific notation
Addition and subtraction with scientific notation
Graphing exponential functions
Discrete exponential growth and decay
Proportions and Similarity
Checking for a proportion
Solving proportions
Proportions word problems
Similar figures
Similar figures word problems
Similarity
Similar polygons
Similar triangles
Similar right triangles
Proportional parts in triangles and parallel lines
Percents
Fractions, decimals, and percents
Percents
Percent of change
Markup, discount, and tax
Simple and compound interest
Linear Equations and Inequalities
Plotting points
The Midpoint Formula
Slope
Graphing linear equations
Writing linear equations
Graphing linear inequalities
More on slope
Graphing absolute value equations
Basics of Geometry
Line segments and their measures
Segment Addition Postulate
Angles and their measures
Classifying angles
Basic angle terminology
Angle Addition Postulate
Angle relationships
Geometric diagrams and notation
Plane Figures
Drawing and measuring angles
Angle relationships
Triangles
Quadrilaterals
Area of triangles and quadrilaterals
Circles
Transformations: Translations, rotations, and reflections
Parallel Lines and the Coordinate Plane
Parallel lines and transversals
Points of the coordinate plane
The Midpoint Formula
The Distance Formula
Slope and lines
Congruent Triangles
Classifying triangles
Triangle angle sum
Exterior Angle Theorem
Triangles and congruence
Proving triangles congruent
Isosceles and equilateral triangles
Properties of Triangles
Midsegment
Angle bisectors
Medians
Centroid
Triangle Inequality Theorem
Inequalities in one triangle
Quadrilaterals and Polygons
Classifying
Angles
Parallelograms
Trapezoids
Area of triangles and quadrilaterals
Polygon basics
Area of regular polygons
Right Triangles
Squares and square roots
The Pythagorean Theorem
The Distance Formula
Multi-step Pythagorean Theorem problems
Special right triangles
Multi-step special right triangle problems
Surface Area and Volume
Solid figures: identifying, volume, and area
Nets of solids
Similar solids
Circles
Naming arcs and central angles
Measures of arcs and central angles
Arcs and chords
Circumference and area
Arc length and sector area
Inscribed angles
Tangents
Secant and tangent angles
Segment measures
Using equations of circles
Writing equations of circles
Constructions
Line segments
Perpendicular segments
Angles
Triangles
Medians of a triangle
Altitudes of a triangle
Angle bisectors
Circles
Systems of Equations and Inequalities
Graphing systems of linear inequalities
Solving systems by graphing
Solving systems by elimination
Solving systems by substitution
Systems of equations word problems
Points in three dimensions
Planes
Solving systems with three variables
Matrices
Operations
Determinants
Inverses
Cramer's Rule
Equations
Geometric transformations
Multivariable linear systems and row operations
Partial fraction decomposition
Complex Numbers
Operations
Graphing
Absolute value
Rationalizing denominators
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
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
Polynomial inequalities
Functions
Evaluating
Operations
Inverses
Continuity
Extrema, intervals of increase and decrease
Power functions
Average rates of change
Transformations of graphs
Piecewise functions
Factoring
Common factor only
Quadratic expressions
Special cases
By grouping
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
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
Rational Expressions
Graphing
Simplifying
Multiplying and dividing
Adding and subtracting
Complex fractions
Rational inequalities
Equations
Trigonometry
Right triangle trig: Finding ratios
Right triangle trig: Finding angle measures
Right triangle trig: Finding angles and sides
Multi-step trig. problems
Trigonometry and area
Angles and angle measure
Radians and degrees
Degrees and degrees-minutes-seconds
Coterminal angles
Trig functions of any angle
The Law of Sines
The Law of Cosines
Graphing trig functions
Angle sum/difference identities
Double-angle/half-angle identities
Equations
Inverse trig functions
Fundamental identities
Equations with factoring and fundamental identities
Sum and Difference Identities
Multiple-Angle Identities
Product-to-Sum Identities
Equations and Multiple-Angle Identities
Probability and Statistics
Visualizing data
Center and spread
Scatter plots
Using statistical models
Sample spaces and the Fundamental Counting Principle
Independent and dependent events, word problems
Independent and dependent events
Mutually exclusive events, word problems
Mutually exclusive events
Permutations
Combinations
Permutations vs combinations
Probability with permutations and combinations
Conic Sections
Classifying
Systems of quadratic equations
Parabolas, graphing & properties
Parabolas, writing equations
Circles, graphing & properties
Circles, writing equations
Ellipses, graphing & properties
Ellipses, writing equations
Hyperbolas, graphing & properties
Hyperbolas, writing equations
Rotations of conic sections
Exponential and Logarithmic Expressions
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
Compound interest
Sequences and Series
General sequences
Arithmetic sequences
Geometric sequences
Arithmetic and geometric mean
General series
Arithmetic series
Geometric series
Power series
Parametric Equations
Parametric equations
Projectile motion
Polar Coordinates
Polar coordinates
Graphs of polar equations
Polar and rectangular forms of equations
Polar forms of conic section
Complex numbers in polar form
Vectors
Basics
Diagrams
Operations
Dot products
Three-Dimensional Vectors
Points in three dimensions
Basics
Operations
Cross products
Discrete Mathematics
Sample spaces and The Fundamental Counting Principle
Permutations
Combinations
Permutations vs combinations
The Binomial Theorem
Mathematical induction
Limits
By direct evaluation
At jump discontinuities and kinks
At removable discontinuities
At essential discontinuities
At infinity
Differentiation
Average rates of change
Definition of the derivative
Instantaneous rates of change
Power Rule
Higher order derivatives
Product Rule
Quotient Rule
Chain Rule
Rules, using tables
Trigonometric
Inverse trigonometric
Natural logarithms and exponentials
Other base logarithms and exponentials
Logarithmic
Implicit
Inverse functions
Applications of Differentiation
Slope, tangent, and normal lines
Rolle's Theorem
Mean Value Theorem
Intervals of increase and decrease
Intervals of concavity
Relative extrema
Absolute extrema
Optimization
Curve sketching
Graphical comparison of f, f', and f''
Motion along a line
Related rates
Differentials
Newton's Method
Limits in form of definition of derivative
L'Hopital's Rule
Indefinite Integration
Power Rule
Logarithmic Rule and Exponentials
Trigonometric
Inverse trigonometric
Power rule with substitution
Logarithmic rule and exponentials with subs.
Trigonometric with substitution
Inverse trigonometric with substitution
Integration by parts
Definite Integration
Approximating area under a curve
Area under a curve by limit of sums
Riemann sum tables
First Fundamental Theorem of Calculus
Substitution with change of variables
Mean Value Theorem
Second Fundamental Theorem of Calculus
Applications of Integration
Area under a curve
Area between curves
Volume by slicing, disks and washers
Volume by cylinders
Volume of solids with known cross sections
Motion along a line revisited
Differential Equations
Slope fields
Introduction
Separable
Exponential growth and decay