## Learning Outcomes 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 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