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Study Guides > Prealgebra

Learning Outcomes

Yellow graphic of a magnifying glass over a document. The textbook content, assignments and assessments for Pre-Algebra are aligned to the following learning outcomes. Click here to see the full list of

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