1. WHOLE NUMBERS | |
An Introduction to the Whole Numbers | |
Adding Whole Numbers | |
Subtracting Whole Numbers | |
Multiplying Whole Numbers | |
Dividing Whole Numbers | |
Estimation | |
Prime Factors and Exponents | |
Order of Operations | |
Key Concept: Order of Operations | |
2. THE INTEGERS | |
An Introduction to the Integers | |
Addition of Integers | |
Subtraction of Integers | |
Multiplication of Integers | |
Order of Operations and Estimation | |
Key Concept: Signed Numbers | |
3. FRACTIONS AND MIXED NUMBERS | |
The Fundamental Property of Fractions | |
Multiplying Fractions | |
Dividing Fractions | |
Adding and Subtracting Fractions | |
LCM and GCF | |
Multiplying and Dividing Mixed Numbers | |
Adding and Subtracting Mixed Numbers | |
Order of Operations and Complex Fractions | |
Key Concept: The Fundamental Property of Fractions | |
4. DECIMALS | |
An Introduction to Decimals | |
Addition and Subtraction with Decimals | |
Multiplication with Decimals | |
Division with Decimals | |
Square Roots | |
Key Concept: The Real Numbers | |
5. PERCENT | |
Percents, Decimals, and Fractions | |
Solving Percent Problems | |
Applications of Percents | |
Interest | |
Key Concept: Percent | |
6. RATIO, PROPORTION, AND MEASUREMENT | |
Ratio | |
Proportions | |
American Units of Measurement | |
Metric Units of measurement | |
Converting Between American and Metric Units | |
Key Concept: Proportions | |
7. DESCRIPTIVE STATISTICS | |
Reading Graphs and Tables | |
Mean, Median, and Mode | |
Key Concept: The Mean, Median, and Mode | |
8. AN INTRODUCTION TO ALGEBRA | |
Solving Equations by Addition and Subtraction | |
Solving Equations by Division and Multiplication | |
Algebraic Expressions and Formulas | |
Simplifying Algebraic Expressions and the Distributive Property | |
Combining Like Terms | |
Simplifying Expressions to Solve Equations | |
Exponents | |
Key Concept: Variables | |
9. INTRODUCTION TO GEOMETRY | |
Some Basic Definitions | |
Parallel and Perpendicular Lines | |
Polygons | |
Properties of Triangles | |
Perimeters and Areas of Polygons | |
Circles | |
Surface Area and Volume | |
Key Concept: Formulas | |
APPENDIXES: 1. Polynomials | |
2. Inductive and Deductive Reasoning | |
3. Roots and Powers | |
4. Answers to Selected Exercises |