# Basic College Mathematics, 3rd Edition

## 1 Whole Numbers

1.1 Introduction to Whole Numbers

1.2 Addition of Whole Numbers and Perimeter

1.3 Subtraction of Whole Numbers

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

PRE: Operations on Whole Numbers

1.7 Exponents, Square Roots, and the Order of
Operations

1.8 Problem Solving Strategies

Group Activity: Becoming a Successful Student

## 2 Fractions and Mixed Numbers: Multiplication and Division

2.1 Introduction to Fractions and Mixed Numbers

2.2 Prime Numbers and Factorisations

2.3 Simplifying Fractions to Lowest Terms

2.4 Multiplication of Fractions and Applications

2.5 Division of Fractions and Applications

PRE: Multiplication and Division of Fractions

2.6 Multiplication and Division of Mixed Numbers

Group Activity: Cooking for Company

## 3 Fractions and Mixed Numbers: Addition and Subtraction

3.1 Addition and Subtraction of Like Fractions

3.2 Least Common Multiple

3.3 Addition and Subtraction of Unlike Fractions

3.4 Addition and Subtractions of Mixed Numbers

PRE: Operations on Fractions and Mixed Numbers

3.5 Order of Operations and Applications of Fractions and Mixed Numbers

Group Activity: Card Games with Fractions

## 4 Decimals

4.1 Decimal Notation and Rounding

4.2 Addition and Subtraction of Decimals

4.3 Multiplication of Decimals

4.4 Division of Decimals

PRE: Operations on Decimals

4.5 Fractions as Decimals

4.6 Order of Operations and Applications of Decimals
Group Activity: Purchasing from a Catalog

## 5 Ratio and Proportion

5.1 Ratios

5.2 Rates and Unit Cost

5.3 Proportions

PRE: Operations on Fractions versus Solving Proportions

5.4 Applications of Proportions and Similar Figures

Group Activity: Investigating Probability

## 6 Percents

6.1 Percents and Their Fraction and Decimal Forms

6.2 Fractions and Decimals and Their Percent Forms

6.3 Percent Proportions and Applications

6.4 Percent Equations and Applications

PRE: Percents

6.5 Applications Involving Sales Tax, Commission, Discount, and Markup

6.6 Percent Increase and Decrease

6.7 Simple and Compound Interest

Group Activity: Credit Card Investment

## 7 Measurement

7.1 Converting US Customary Units of Length

7.2 Converting US Customary Units of Time, Weight, and Capacity

7.3 Metric Units of Length

7.4 Metric Units of Mass and Capactiy and Medical Applications

PRE: US Customary and Metric Conversions

7.5 Converting Between US Customary and Metric Units

Group Activity: Remodeling the Classroom

## 8 Geometry

8.1 Lines and Angles

8.2 Triangles and the Pythagorean Theorem

8.3 Quadrilaterals, Perimeter, and Area

8.4 Circles, Circumference, and Area

PRE: Area, Perimeter, and Circumference

8.5 Volume

Group Activity: Constructing a Golden Rectangle

## 9 Introduction to Statistics

9.1 Tables, Bar Graphs, Pictographs, and Lines Graphs

9.2 Frequency Distributions and Histograms

9.3 Circle Graphs

9.4 Mean, Median, and Mode

9.5 Introduction to Probability

Group Activity: Creating a Statistical Report

## 10 Real Numbers

10.1 Real Numbers and the Real Number Line

10.2 Addition of Real Numbers

10.3 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

10.4 Multiplication and Division of Real Numbers

PRE: Operations on Real Numbers

10.5 Order of Operations

Group Activity: Checking Weather Predictions

## 11 Solving Equations

11.1 Properties of Real Numbers

11.2 Simplifying Expressions

11.3 Addition and Subtraction Properties of Equality

11.4 Multiplication and Division Properties of Equality

11.5 Solving Equations with Multiple Steps

PRE: Equations versus Expressions

11.6 Applications and Problem Solving

Group Activity: Deciphering a Coded Message

## Additional Topics Appendix

A.1 Energy and Power

A.2 Scientific Notation

A.3 Rectangular Coordinate System