Developmental Mathematics

<ol> <li><strong>The Whole Numbers</strong> <ul> <li>1.1 Study Skills Tips for Success in Mathematics</li> <li>1.2 Place Value, Names, and Reading Tables</li> <li>1.3 Adding Whole Numbers and Perimeter</li> <li>1.4 Subtracting Whole Numbers</li> <li>1.5 Rounding and Estimating</li> <li>1.6 Multiplying Whole Numbers and Area</li> <li>1.7 Dividing Whole Numbers <ul> <li>Integrated Review-Operations on Whole Numbers</li> </ul></li> <li>1.8 An Introduction to Problem Solving</li> <li>1.9 Exponents, Square Roots, and Order of Operations</li> </ul></li> <li><strong>Multiplying and Dividing Fractions</strong> <ul> <li>2.1 Introduction to Fractions and Mixed Numbers</li> <li>2.2 Factors and Prime Factorization</li> <li>2.3 Simplest Form of a Fraction <ul> <li>Integrated Review-Summary on Fractions, Mixed Numbers, and Factors</li> </ul></li> <li>2.4 Multiplying Fractions and Mixed Numbers</li> <li>2.5 Dividing Fractions and Mixed Numbers</li> </ul></li> <li><strong>Adding and Subtracting Fractions</strong> <ul> <li>3.1 Adding and Subtracting Like Fractions</li> <li>3.2 Least Common Multiple</li> <li>3.3 Adding and Subtracting Unlike Fractions <ul> <li>Integrated Review-Operations on Fractions and Mixed Numbers</li> </ul></li> <li>3.4 Adding and Subtracting Mixed Numbers</li> <li>3.5 Order, Exponents, and the Order of Operations</li> <li>3.6 Fractions and Problem Solving</li> </ul></li> <li><strong>Decimals</strong> <ul> <li>4.1 Introduction to Decimals</li> <li>4.2 Order and Rounding</li> <li>4.3 Adding and Subtracting Decimals</li> <li>4.4 Multiplying Decimals and Circumference of a Circle <ul> <li>Integrated Review-Operations on Decimals</li> </ul></li> <li>4.5 Dividing Decimals and Order of Operations</li> <li>4.6 Fractions and Decimals</li> </ul></li> <li><strong>Ratio, Proportion, and Percent</strong> <ul> <li>5.1 Ratio and Proportion</li> <li>5.2 Introduction to Percent</li> <li>5.3 Percents and Fractions</li> <li>5.4 Solving Percent Problems Using Equations</li> <li>5.5 Solving Percent Problems Using Proportions <ul> <li>Integrated Review-Ratio, Proportion, and Percent</li> </ul></li> <li>5.6 Applications of Percent</li> <li>5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount</li> <li>5.8 Percent and Problem Solving: Interest</li> </ul></li> <li><strong>Geometry</strong> <ul> <li>6.1 Lines and Angles</li> <li>6.2 Plane Figures and Solid</li> <li>6.3 Perimeter</li> <li>6.4 Area</li> <li>6.5 Volume</li> <li>6.6 Square roots and the Pythagorean Theorem</li> <li>6.7 Congruent and Similar Triangles</li> </ul></li> <li><strong>Reading Graphs and Introductions to Statistics and Probability</strong> <ul> <li>7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs</li> <li>7.2 Circle Graphs <ul> <li>Integrated Review- Reading Graphs</li> </ul></li> <li>7.3 Mean, Median, Mode, and Range</li> <li>7.4 Counting and Introduction to Probability</li> </ul></li> <li><strong>Real Numbers and Introductions to Algebra</strong> <ul> <li>8.1 Symbols and Sets of Numbers</li> <li>8.2 Exponents, Order of Operations, and Variable Expressions</li> <li>8.3 Adding Real Numbers</li> <li>8.4 Subtracting Real Numbers <ul> <li>Integrated Review-Operations on Real Numbers</li> </ul></li> <li>8.5 Multiplying and Dividing Real Numbers</li> <li>8.6 Properties of Real Numbers</li> <li>8.7 Simplifying Expressions</li> </ul></li> <li><strong>Equations, Inequalities, and Problem Solving</strong> <ul> <li>9.1 The Addition Property of Equality</li> <li>9.2 The Multiplication Property of Equality</li> <li>9.3 Further Solving Linear Equations <ul> <li>Integrated Review-Solving Linear Equations</li> </ul></li> <li>9.4 Further Problem Solving</li> <li>9.5 Formulas and Problem Solving</li> <li>9.6 Percent and Mixture Problem Solving</li> <li>9.7 Linear Inequalities and Problem Solving</li> </ul></li> <li><strong>Graphing Equations and Inequalities</strong> <ul> <li>10.1 The Rectangular Coordinate System</li> <li>10.2 Graphing Linear Equations</li> <li>10.4 Slope and Rate of Change</li> <li>10.5 Equations of Lines <ul> <li>Integrated Review-Summary on Linear Equations</li> </ul></li> <li>10.6 Introduction to Functions</li> <li>10.7 Graphing Linear Inequalities in Two Variables</li> <li>10.8 Direct and Inverse Variation</li> </ul></li> <li><strong>Systems of Equations</strong> <ul> <li>11.1 Solving Systems of Linear Equations by Graphing</li> <li>11.2 Solving Systems of Linear Equations by Substitution</li> <li>11.3 Solving Systems of Linear Equations by Addition <ul> <li>Integrated Review-Summary on Solving Systems of Equations</li> </ul></li> <li>11.4 Systems of Linear Equations and Problem Solving</li> </ul></li> <li><strong>Exponents and Polynomials</strong> <ul> <li>12.1 Exponents</li> <li>12.2 Negative Exponents and Scientific Notation</li> <li>12.3 Introduction to Polynomials</li> <li>12.4 Adding and Subtracting Polynomials</li> <li>12.5 Multiplying Polynomials</li> <li>12.6 Special Products <ul> <li>Integrated Review- Exponents and Operations on Polynomials</li> </ul></li> <li>12.7 Dividing Polynomials</li> </ul></li> <li><strong>Factoring Polynomials</strong> <ul> <li>13.1 The Greatest Common Factor and Factoring by Grouping</li> <li>13.2 Factoring Trinomials of the Form x² + bx + c</li> <li>13.3 Factoring Trinomials of the Form ax² +bx + c</li> <li>13.4 Factoring Trinomials of the Form ax² + bx + c by Grouping</li> <li>13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares <ul> <li>Integrated Review-Choosing a Factoring Strategy</li> </ul></li> <li>13.6 Solving Quadratic Equations by Factoring</li> <li>13.7 Quadratic Equations and Problem Solving</li> </ul></li> <li><strong>Rational Expressions</strong> <ul> <li>14.1 Simplifying Rational Expressions</li> <li>14.2 Multiplying and Dividing Rational Expressions</li> <li>14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator</li> <li>14.4 Adding and Subtracting Rational Expressions with Different Denominators</li> <li>14.5 Solving Equations Containing Rational Expressions <ul> <li>Integrated Review-Summary on Rational Expressions</li> </ul></li> <li>14.6 Rational Equations and Problem Solving</li> <li>14.7 Simplifying Complex Fractions</li> </ul></li> <li><strong>Roots and Radicals</strong> <ul> <li>15.1 Introduction to Radicals</li> <li>15.2 Simplifying Radicals</li> <li>15.3 Adding and Subtracting Radicals</li> <li>15.4 Multiplying and Dividing Radicals <ul> <li>Integrated Review-Simplifying Radicals</li> </ul></li> <li>15.5 Solving Equations Containing Radicals</li> <li>15.6 Radical Equations and Problem Solving</li> </ul></li> <li><strong>Quadratic Equations and Nonlinear Graphs</strong> <ul> <li>16.1 Solving Quadratic Equations by the Square Root Property</li> <li>16.2 Solving Quadratic Equations by Completing the Square</li> <li>16.3 Solving Quadratic Equations by the Quadratic Formula <ul> <li>Integrated Review-Summary on Solving Quadratic Equations</li> </ul></li> <li>16.4 Graphing Quadratic Equations in Two Variables</li> <li>16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions</li> </ul></li> </ol> <h3>Appendices</h3> <ul> <li>A. Further Algebra Topics</li> <li>B. Tables</li> </ul>