Basic College Mathematics
Table of Contents

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Program Details

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