Basic College Mathematics

<ol> <li><strong>The Whole Numbers</strong> <ul> <li>1.1 Study Skill Tips for Success in Mathematics</li> <li>1.2 Place Value, Names for Numbers, 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 and Proportion</strong> <ul> <li>5.1 Ratios</li> <li>5.2 Rates <ul> <li>Integrated Review— Ratio and Rate</li> </ul></li> <li>5.3 Proportions</li> <li>5.4 Proportions and Problem Solving</li> </ul></li> <li><strong>Percent</strong> <ul> <li>6.1 Introduction to Percent</li> <li>6.2 Percents and Fractions</li> <li>6.3 Solving Percent Problems Using Equations</li> <li>6.4 Solving Percent Problems Using Proportions <ul> <li>Integrated Review—Percent and Percent Problems</li> </ul></li> <li>6.5 Applications of Percent</li> <li>6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount</li> <li>6.7 Percent and Problem Solving: Interest</li> </ul></li> <li><strong>Measurement</strong> <ul> <li>7.1 Length: U.S. and Metric Systems of Measurement</li> <li>7.2 Weight and Mass: U.S. and Metric Systems of Measurement</li> <li>7.3 Capacity: U.S. and Metric Systems of Measurement <ul> <li>Integrated Review—Length, Weight, and Capacity</li> </ul></li> <li>7.4 Conversions Between the U.S. and Metric Systems</li> <li>7.5 Temperature: U.S. and Metric Systems of Measurement</li> <li>7.6 Energy: U.S. and Metric Systems of Measurement</li> </ul></li> <li><strong>Geometry</strong> <ul> <li>8.1 Lines and Angles</li> <li>8.2 Plane Figures and Solids</li> <li>8.3 Perimeter</li> <li>8.4 Area</li> <li>8.5 Volume <ul> <li>Integrated Review—Geometry Concepts</li> </ul></li> <li>8.6 Square Roots and the Pythagorean Theorem</li> <li>8.7 Congruent and Similar Triangles</li> </ul></li> <li><strong>Reading Graphs and Introduction to Statistics and Probability</strong> <ul> <li>9.1 Pictographs, Bar Graphs, Histograms, and Line Graphs</li> <li>9.2 Circle Graphs <ul> <li>Integrated Review—Reading Graphs</li> </ul></li> <li>9.3 Mean, Median, Mode, and Range</li> <li>9.4 Counting and Introduction to Probability</li> </ul></li> <li><strong>Signed Numbers</strong> <ul> <li>10.1 Signed Numbers</li> <li>10.2 Adding Signed Numbers</li> <li>10.3 Subtracting Signed Numbers <ul> <li>Integrated Review—Signed Numbers</li> </ul></li> <li>10.4 Multiplying and Dividing Signed Numbers</li> <li>10.5 Order of Operations</li> </ul></li> <li><strong>Introduction to Algebra</strong> <ul> <li>11.1 Introduction to Variables</li> <li>11.2 Solving Equations: The Addition Property</li> <li>11.3 Solving Equations: The Multiplication Property <ul> <li>Integrated Review—Expressions and Equations</li> </ul></li> <li>11.4 Solving Equations Using Addition and Multiplication Properties</li> <li>11.5 Equations and Problem Solving</li> </ul></li> </ol> <h3>Appendix A: Tables</h3> <ul> <li>A.1 Addition Table and One Hundred Addition Facts</li> <li>A.2 Multiplication Table and One Hundred Multiplication Facts</li> <li>A.3 Table of Geometric Figures</li> <li>A.4 Table of Percents, Decimals, and Fraction Equivalents</li> <li>A.5 Table on Finding Common Percents of a Number</li> <li>A.6 Table of Squares and Square Roots</li> <li>A.7 Compound Interest Table</li> </ul> <h3>Appendix B: Unit Analysis</h3> <h4>Student Resources</h4> <ul> <li>Study Skills Builders</li> <li>Bigger Picture—Study Guide Outline</li> <li>Practice Final Exam</li> </ul>