Content Comparison
The same topic may be treated differently in different products.
Infinite PreAlgebra  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


Onestep equations, word problems

✓  
Twostep equations

✓  ✓  
Twostep equations word problems

✓  
Multistep equations

✓  ✓  ✓  ✓  
Onestep equations

✓  ✓  
Absolute value equations

✓  ✓  
Mixture word problems

✓  ✓  
Distance, rate, time word problems

✓  ✓  
Work word problems

✓  ✓  
Literal equations

✓  
Inequalities


Graphing singlevariable inequalities

✓  ✓  
Onestep inequalities

✓  ✓  
Twostep inequalities

✓  ✓  
Multistep 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

✓  ✓  ✓  
Multistep Pythagorean Theorem problems

✓  
Special right triangles

✓  
Multistep 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

✓  ✓  ✓  ✓  
Multistep trig. problems

✓  
Rhombuses and kites with right triangles

✓  
Trigonometry and area

✓  ✓  ✓  
Angles and angle measure

✓  ✓  
Radians and degrees

✓  ✓  
Degrees and degreesminutesseconds

✓  
Coterminal angles

✓  
Trig functions of any angle

✓  ✓  
The Law of Sines

✓  ✓  
The Law of Cosines

✓  ✓  
Graphing trig functions

✓  ✓  
Angle sum/difference identities

✓  
Doubleangle/halfangle identities

✓  
Equations

✓  ✓  
Inverse trig functions

✓  
Fundamental identities

✓  
Equations with factoring and fundamental identities

✓  
Sum and Difference Identities

✓  
MultipleAngle Identities

✓  
ProducttoSum Identities

✓  
Equations and MultipleAngle 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

✓  
ThreeDimensional 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

✓ 