Content Comparison
The same topic may be treated differently in different products.
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
|
✓ | ✓ | ||||
Continuous 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
|
✓ | |||||
Relations and Introduction to Functions
|
||||||
Discrete relations
|
✓ | ✓ | ||||
Continuous relations
|
✓ | ✓ | ||||
Evaluating and graphing functions
|
✓ | ✓ | ||||
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
|
✓ | ✓ | ||||
Direct and inverse variation
|
✓ | ✓ | ||||
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
|
✓ | |||||
Rhombuses
|
✓ | |||||
Kites
|
✓ | |||||
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
|
✓ | |||||
Rhombuses and kites with right triangles
|
✓ | |||||
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
|
✓ | ✓ | ||||
Discrete exponential growth and decay word problems
|
✓ | ✓ | ||||
Continuous exponential growth and decay word problems
|
✓ | |||||
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
|
✓ |