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Chapter 1 Whole Numbers

1-1 Introducing Whole Numbers
1-2 Naming Numbers
1-3 Rounding Whole Numbers
1-4 Adding Whole Numbers
1-5 Subtracting Whole Numbers
1-6 Multiplying Whole Numbers
1-7 Dividing Whole Numbers
1-8 Comparing Whole-Number Values
1-9 Ordering Operations with Whole Numbers.
1-10 Factoring

Chapter 2 Integers

2-1 Introducing Integers
2-2 Comparing Integer Values
2-3 Introducing Absolute Values
2-4 Adding Signed Integers
2-5 Subtracting Signed Integers
2-6 Combining Integer Addition and Subtraction
2-7 Multiplying Signed Integers
2-8 Dividing Signed Integers
2-9 Combining Integer Multiplication and Division
2-10 Order of Operations for Integers

Chapter 3 Fractions

3-1 Introducing Fractions
3-2 Converting Fractions to Higher Terms
3-3 Reducing Fractions
3-4 Converting Between Improper Fractions and Mixed Numbers
3-5 Multiplying Fractions and Mixed Numbers
3-6 Dividing Fractions and Mixed Numbers
3-7 Finding Common Denominators
3-8 Adding Fractions and Mixed Numbers
3-9 Subtracting Fractions and Mixed Numbers
3-10 Comparing Fractions

Chapter 4 Decimals

4-1 Naming Decimals
4-2 Rounding Decimals
4-3 Adding Decimals
4-4 Subtracting Decimals
4-5 Multiplying Decimals
4-6 Dividing Decimals
4-7 Converting Between Fractions and Decimals

Chapter 5 Powers, Exponents, and Roots

5-1 Powers and Exponents
5-2 Square Roots and Cube Roots
5-3 Working with Exponents
5-4 Powers of Ten
5-5 Working with Scientific Notation
5-6 Engineering Notation
5-7 Working with Engineering Notataion

Chapter 6 Expressions and Equations

6-1 Introducing Expressions and Equations
6-2 Evaluating Algebraic Expressions
6-3 Combining Like Terms
6-4 Using the Distributive Property
6-5 Removing Parentheses
6-6 Working With Formulas
6-7 Solving Equations
6-8 Ratio and Proportion

Chapter 7 Percents

7-1 Introducing Percents
7-2 Converting Between Percents, Decimals, and Fractions
7-3 Solving Percent Problems
7-4 Solving Percent Word Problems

Chapter 8 Measurements

8-1 The U.S. Customary System
8-2 The Metric System
8-3 Converting Between the U.S. Standard and Metric Systems
8-4 Significant Digits

Chapter 9 Basic Geometry

9-1 Introducing Geometric Figures
9-2 Finding Perimiters and Circumferences
9-3 Finding Areas
9-4 Finding Volumes
9-5 Working With Right Triangles

Chapter 10 Probability and Statistics

10-1 Probability
10-2 Statistics

Chapter 11 Tables, Charts, and Graphs

11-1 Tables of Data
11-2 Interpreting Pictographs
11-3 Using Bar and Pie Charts
11-4 Reading and Creating Line Graphs

Chapter 12 Graphing

12-1 Using the Rectangular Coordinate Plane
12-2 Plotting Points on the Coordinate Plane
12-3 Plotting Lines on the Coordinate Plane
12-4 Graphing Linear Equations
12-5 Defining Horizontal and Vertical Lines
12-6 Finding Intercepts
12-7 Finding the Slopes of Lines
12-8 Solving Systems of Linear Equations

About this E-Book

This pre-algebra course is intended to ease the transition between the relatively simple mechanics of integer arithmetic to the relatively abstract principles of algebra and beyond.

The teaching approach is straightforward: Begin with the familiar and then remix it from a more general, abstract point of view. For example, few people need to strain at the familiar concept of

1 + 1 = 2

Okay, then consider

x + x = 2x

This means that adding two identical values is the same as doubling the value of one of them. It's the 1 + 1 concept made more general and far more useful ... the purpose of this course.

David L. Heiserman, Editor

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All Rights Reserved

Revised: February 01, 2011