Learning Outcomes | Prealgebra

Course Contents

Learning Outcomes

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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