Developmental Mathematics, 4th edition

  • Elayn Martin-Gay


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Table of contents

1. The Whole Numbers

1.1Study Skills Tips for Success in Mathematics
1.2Place Value, Names, and Reading Tables
1.3Adding Whole Numbers and Perimeter
1.4Subtracting Whole Numbers
1.5Rounding and Estimating
1.6Multiplying Whole Numbers and Area
1.7Dividing Whole Numbers
        Integrated Review-Operations on Whole Numbers
1.8An Introduction to Problem Solving
1.9Exponents, Square Roots, and Order of Operations

2. Multiplying and Dividing Fractions

2.1 Introduction to Fractions and Mixed Numbers 
2.2Factors and Prime Factorization
2.3 Simplest Form of a Fraction
        Integrated Review-Summary on Fractions, Mixed Numbers, and Factors
2.4Multiplying Fractions and Mixed Numbers
2.5 Dividing Fractions and Mixed Numbers

    3. Adding and Subtracting Fractions

    3.1Adding and Subtracting Like Fractions 
    3.2Least Common Multiple 
    3.3Adding and Subtracting Unlike Fractions
            Integrated Review-Operations on Fractions and Mixed Numbers
    3.4Adding and Subtracting Mixed Numbers 
    3.5 Order, Exponents, and the Order of Operations 
    3.6Fractions and Problem Solving

    4. Decimals

    4.1Introduction to Decimals 
    4.2Order and Rounding 
    4.3 Adding and Subtracting Decimals
    4.4 Multiplying Decimals and Circumference of a Circle
            Integrated Review-Operations on Decimals 
    4.5Dividing Decimals and Order of Operations
    4.6Fractions and Decimals

    5. Ratio, Proportion, and Percent

    5.1Ratio and Proportion 
    5.2 Introduction to Percent 
    5.3 Percents and Fractions 
    5.4 Solving Percent Problems Using Equations 
    5.5Solving Percent Problems Using Proportions
            Integrated Review-Ratio, Proportion, and Percent
    5.6Applications of Percent
    5.7Percent and Problem Solving: Sales Tax, Commission, and Discount  
    5.8Percent and Problem Solving: Interest

    6. Geometry

    6.1Lines and Angles 
    6.2Plane Figures and Solid
            Integrated Review - Geometry Concepts
    6.6Square roots and the Pythagorean Theorem
    6.7Congruent and Similar Triangles

    7. Reading Graphs and Introductions to Statistics and Probability

    7.1Pictographs, Bar Graphs, Histograms, and Line Graphs 
    7.2Circle Graphs
            Integrated Review- Reading Graphs
    7.3Mean, Median, Mode, and Range
    7.4Counting and Introduction to Probability

    8. Real Numbers and Introductions to Algebra

    8.1Symbols and Sets of Numbers 
    8.2 Exponents, Order of Operations, and Variable Expressions 
    8.3Adding Real Numbers 
    8.4Subtracting Real Numbers
            Integrated Review-Operations on Real Numbers
    8.5Multiplying and Dividing Real Numbers
    8.6Properties of Real Numbers 
    8.7Simplifying Expressions

    9. Equations, Inequalities, and Problem Solving

    9.1 The Addition Property of Equality 

    9.2 The Multiplication Property of Equality  

    9.3Further Solving Linear Equations

            Integrated Review - Solving Linear Equations   
    9.4 Further Problem Solving

    9.5 Formulas and Problem Solving

    9.6 Percent and Mixture Problem Solving

    9.7 Linear Inequalities and Problem Solving

    10. Graphing Equations and Inequalities 

    10.1 The Rectangular Coordinate System 

    10.2 Graphing Linear Equations

    10.3 Intercepts

    10.4 Slope and Rate of Change 

    10.5 Equations of Lines

            Integrated Review-Summary on Linear Equations

    10.6 Introduction to Functions

    10.7 Graphing Linear Inequalities in Two Variables

    10.8 Direct and Inverse Variation

    11. Systems of Equations

    11.1 Solving Systems of Linear Equations by Graphing

    11.2 Solving Systems of Linear Equations by Substitution 

    11.3 Solving Systems of Linear Equations by Addition

            Integrated Review-Summary on Solving Systems of Equations

    11.4 Systems of Linear Equations and Problem Solving

    12. Exponents and Polynomials 

    12.1 Exponents

    12.2 Negative Exponents and Scientific Notation 

    12.3 Introduction to Polynomials  

    12.4 Adding and Subtracting Polynomials

    12.5 Multiplying Polynomials

    12.6 Special Products

            Integrated Review- Exponents and Operations on Polynomials

    12.7 Dividing Polynomials

    13. Factoring Polynomials

    13.1 The Greatest Common Factor and Factoring by Grouping 

    13.2 Factoring Trinomials of the Form x2+ bx +

    13.3 Factoring Trinomials of the Form ax2 + bx + c  

    13.4 Factoring Trinomials of the Form ax2 + bx + c  by Grouping

    13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

            Integrated Review-Choosing a Factoring Strategy

    13.6 Solving Quadratic Equations by Factoring

    13.7 Quadratic Equations and Problem Solving

    14. Rational Expressions

    14.1 Simplifying Rational Expressions 

    14.2 Multiplying and Dividing Rational Expressions 

    14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 

    14.4 Adding and Subtracting Rational Expressions with Different Denominators 

    14.5 Solving Equations Containing Rational Expressions

            Integrated Review-Summary on Rational Expressions

    14.6 Rational Equations and Problem Solving

    14.7 Simplifying Complex Fractions

    15. Roots and Radicals

    15.1 Introduction to Radicals 

    15.2 Simplifying Radicals 

    15.3 Adding and Subtracting Radicals 

    15.4 Multiplying and Dividing Radicals

            Integrated Review-Simplifying Radicals

    15.5 Solving Equations Containing Radicals

    15.6 Radical Equations and Problem Solving

    16. Quadratic Equations and Nonlinear Graphs

    16.1 Solving Quadratic Equations by the Square Root Property 

    16.2 Solving Quadratic Equations by Completing the Square  

    16.3 Solving Quadratic Equations by the Quadratic Formula

            Integrated Review-Summary on Solving Quadratic Equations

    16.4 Graphing Quadratic Equations in Two Variables

    16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions



    Appendix A: Further Algebra Topics

    Appendix B: Tables

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    Published by Pearson (January 2nd 2019) - Copyright © 2020