(Note: Each chapter concludes with Group Activity, Vocabulary Check, Chapter Highlights, Chapter Review, Getting Ready for the Test, and Chapter Test. Chapters 2-10 include Cumulative Review.)
1. The Whole Numbers
- 1.1 Study Skill Tips for Success in Mathematics
- 1.2 Place Value, Names for Numbers, and Reading Tables
- 1.3 Adding and Subtracting Whole Numbers, and Perimeter
- 1.4 Rounding and Estimating
- 1.5 Multiplying Whole Numbers and Area
- 1.6 Dividing Whole Numbers
- Mid-Chapter Review: Operations on Whole Numbers
- 1.7 Exponents and Order of Operations
- 1.8 Introduction to Variables, Algebraic Expressions, and Equations
2. Integers and Introduction to Solving Equations
- 2.1 Introduction to Integers
- 2.2 Adding Integers
- 2.3 Subtracting Integers
- 2.4 Multiplying and Dividing Integers
- Mid-Chapter Review: Integers
- 2.5 Order of Operations
- 2.6 Solving Equations: The Addition and Multiplication Properties
3. Solving Equations and Problem Solving
- 3.1 Simplifying Algebraic Expressions
- 3.2 Solving Equations: Review of the Addition and Multiplication Properties
- Mid-Chapter Review: Expressions and Equations
- 3.3 Solving Linear Equations in One Variable
- 3.4 Linear Equations in One Variable and Problem Solving
4. Fractions and Mixed Numbers
- 4.1 Introduction to Fractions and Mixed Numbers
- 4.2 Factors and Simplest Form
- 4.3 Multiplying and Dividing Fractions
- 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
- 4.5 Adding and Subtracting Unlike Fractions
- Mid-Chapter Review: Summary on Fractions and Operations on Fractions
- 4.6 Complex Fractions and Review of Order of Operations
- 4.7 Operations on Mixed Numbers
- 4.8 Solving Equations Containing Fractions
5. Decimals
- 5.1 Introduction to Decimals
- 5.2 Adding and Subtracting Decimals
- 5.3 Multiplying Decimals and Circumference of a Circle
- 5.4 Dividing Decimals
- Mid-Chapter Review: Operations on Decimals
- 5.5 Fractions, Decimals, and Order of Operations
- 5.6 Solving Equations Containing Decimals
- 5.7 Decimal Applications: Mean, Median, and Mode
6. Ratio, Proportion, and Triangle Applications
- 6.1 Ratios and Rates
- 6.2 Proportions
- Mid-Chapter Review: Ratio, Rate, and Proportion
- 6.3 Proportions and Problem Solving
- 6.4 Square Roots and the Pythagorean Theorem
- 6.5 Congruent and Similar Triangles
7. Percent
- 7.1 Percents, Decimals, and Fractions
- 7.2 Solving Percent Problems with Equations
- 7.3 Solving Percent Problems with Proportions
- Mid-Chapter Review: Percent and Percent Problems
- 7.4 Applications of Percent
- 7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount
- 7.6 Percent and Problem Solving: Interest
8. Graphing and Introduction to Statistics and Probability
- 8.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
- 8.2 Circle Graphs
- 8.3 The Rectangular Coordinate System and Paired Data
- Mid-Chapter Review: Reading Graphs
- 8.4 Graphing Linear Equations in Two Variables
- 8.5 Counting and Introduction to Probability
9. Geometry and Measurement
- 9.1 Lines and Angles
- 9.2 Perimeter
- 9.3 Area, Volume, and Surface Area
- Mid-Chapter Review: Geometry Concepts
- 9.4 Linear Measurement
- 9.5 Weight and Mass
- 9.6 Capacity
- 9.7 Temperature and Conversions Between the U.S. and Metric Systems
10. Exponents and Polynomials
- 10.1 Adding and Subtracting Polynomials
- 10.2 Multiplication Properties of Exponents
- Mid-Chapter Review: Operations on Polynomials
- 10.3 Multiplying Polynomials
- 10.4 Introduction to Factoring Polynomials
Appendix A: Tables
- A.1 Tables of Geometric Figures
- A.2 Table of Percents, Decimals, and Fraction Equivalents
- A.3 Table on Finding Common Percents of a Number
- A.4 Table of Squares and Square Roots
Appendix B: Quotient Rule and Negative Exponents
Appendix C: Scientific Notation
Appendix D: Geometric Formulas
Student Resources:
- Study Skills Builders
- Bigger Picture–Study Guide Outline
- Practice Final Exam
- Answers to Selected Exercises
- Solutions to Selected Exercises
- Video Answer Section
