The textbook content, assignments, and assessments for Prealgebra are aligned to the following learning outcomes. See here for the complete list of Detailed Learning Outcomes.

## Module 1: Whole Numbers

- Introduction to Whole Number Basics
- Introduction to Adding Whole Numbers
- Introduction to Subtracting Whole Numbers
- Introduction to Multiplying Whole Numbers
- Introduction to Dividing Whole Numbers

## Module 2: The Language of Algebra

- Introduction to Using the Language of Algebra
- Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions
- Introduction to Solving One-Step Equations Using Whole Numbers
- Introduction to Finding Multiples and Factors
- Introduction to Prime Factorization and the Least Common Multiple

## Module 3: Integers

- Introduction to Identifying and Writing Integers
- Introduction to Adding Integers
- Introduction to Subtracting Integers
- Introduction to Multiplying and Dividing Integers
- Introduction to Solving One-Step Equations Using Integers

## Module 4: Fractions

- Introduction to Representing Parts of a Whole as Fractions
- Introduction to Multiplying and Dividing Fractions
- Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions
- Introductions to Adding and Subtracting Fractions With Common Denominators
- Introduction to Adding and Subtracting Fractions with Different Denominators
- Introduction to Adding and Subtracting Mixed Numbers
- Introduction to Solving Equations That Contain Fractions

## Module 5: Decimals

- Introduction to Writing and Identifying Characteristics of Decimals
- Introduction to Operations on Decimals
- Introduction to Exploring the Relationship Between Decimals and Fractions
- Introduction to Solving Equations with Decimals

## Module 6: Applications With Decimals

- Introduction to Finding Averages and Basic Probabilities
- Introduction to Writing Ratios and Calculating Rates
- Introduction to Simplifying and Using Square Roots

## Module 7: Percents

- Introduction to Writing Percents Using Words, Ratios, and Fractions
- Introduction to Solving General Applications of Percent
- Introduction to Solving Sales Tax, Commission, and Discount Applications
- Introduction to Solving Simple Interest Applications
- Introduction to Solving Proportions and their Applications

## Module 8: Real Numbers

- Introduction to Classes of Real Numbers
- Introduction to Using the Commutative and Associative Properties
- Introduction to Using the Distributive Property
- Introduction to Properties of Identity, Inverses, and Zero

## Module 9: Multi-Step Linear Equations

- Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality
- Introduction to Solving Equations Using the Division and Multiplication Properties of Equality
- Introduction to Using a Problem Solving Strategy
- Introduction to Solving Word Problems That Have Decimals
- Introduction to Using Formulas to Solve Word Problems

## Module 10: Polynomials

- Introduction to Adding and Subtracting Polynomials
- Introduction to Simplifying Expressions With Exponents
- Introduction to Multiplying Polynomials
- Introduction to Dividing Monomials
- Introduction to Simplifying Expressions With Negative Exponents
- Introduction to Factoring Polynomials

## Module 11: Geometry

- Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem
- Introduction to Using Properties of Rectangles, Triangles, and Trapezoids
- Introduction to Solving Problems With Circles and Irregular Figures
- Introduction to Solving Problems Using Volume and Surface Area
- Introduction to Systems of Measurement

## Module 12: Graphs

- Introduction to Plotting Points on the Rectangular Coordinate System
- Introduction to Plotting Lines on the Rectangular Coordinate System
- Introduction to Identifying and Using Slope