Investigating Basic College Mathematics (with CD-ROM, BCA Tutorial, and InfoTrac)

by Bracken, Laura; McKenna, Hazel

• ISBN13: 9780030344947
• ISBN10: 0030344948
• Edition: 1st
• Format: Paperback
• Copyright: 2002-07-26
• Publisher: Cengage Learning

Summary

INVESTIGATING BASIC COLLEGE MATHEMATICS is a flexible worktext that supports a variety of teaching methods. The book engages students in active learning, allowing them to discover knowledge and describe their understandings. Through a blend of lecture-type Discussions and Investigations, this book provides a comprehensive foundation in basic mathematical concepts. While the table of contents for this text is similar to others on the market, the presentation is unique. Carefully designed INVESTIGATIONS lead students to discover key concepts, while DISCUSSIONS offer a more traditional explanation. The INVESTIGATIONS can be completed as a class led by the instructor, in cooperative groups, or by the student alone. Instead of passively listening to an explanation of the concept, the student participates in its development, followed immediately by practice and application of the concept. This method helps developmental students understand and retain concepts. Selected for their high interest, the application problems are drawn from the media and everyday situations. Students find the problems relevant and easy to visualize; a variety of applications provides substantial practice. The authors also provide an organizer (the five step method) to help students learn to get started and finish problems successfully. Because students are constantly asked to apply their skills in application problems, systems of measurement are introduced early. This also prepares students for success in related classes in the natural sciences, social sciences, and technology.

Table of Contents

Whole Numbers	1	(186)
Introduction to the Chapter
Introduction to Whole Numbers	2	(15)
Numbers, Tables, and Bar Graphs	17	(18)
Addition and Subtraction	35	(22)
Problem Solving	57	(20)
Multiplication of Whole Numbers	77	(22)
Exponents	99	(8)
Using the SI (Metric) System of Measurement	107	(18)
Division of Whole Numbers	125	(20)
The Order of Operations	145	(42)
Read, Reflect, and Respond: Effective Studying	161	(4)
Glossary and Procedures	165	(2)
Review Exercises	167	(14)
Test	181	(6)
Integers	187	(94)
Introduction to the Chapter
Introduction to Integers	188	(11)
Addition of Integers	199	(12)
Subtraction of Integers	211	(10)
Multiplication and Division of Integers	221	(8)
Order of Operations	229	(12)
Introduction to Formulas	241	(12)
Line Graphs	253	(28)
Read, Reflect, and Respond: Negative Numbers	265	(2)
Glossary and Procedures	267	(2)
Review Exercises	269	(8)
Test	277	(4)
Fractions	281	(136)
Introduction to the Chapter
Multiples and Factors	282	(11)
Introduction to Fractions	293	(18)
Multiplication of Fractions	311	(20)
Division of Fractions	331	(16)
Addition and Subtraction of Fractions	347	(16)
Mixed Numbers	363	(18)
Arithmetic with Mixed Numbers	381	(36)
Read, Reflect, and Respond: The Value of Mathematics in Daily Life	401	(2)
Glossary and Procedures	403	(2)
Review Exercises	405	(8)
Test	413	(4)
Decimals	417	(124)
Introduction to the Chapter
Introduction to Decimal Numbers	418	(17)
Multiplication of Decimal Numbers	435	(14)
Division of Decimal Numbers	449	(16)
Powers of Ten and Scientific Notation	465	(10)
Unit Analysis	475	(12)
Pi	487	(20)
Square Roots	507	(34)
Read, Reflect, and Respond: Precision and Accuracy	521	(2)
Glossary and Procedures	523	(2)
Review Exercises	525	(10)
Test	535	(6)
Expressions and Equations	541	(84)
Introduction to the Chapter
Evaluating Algebraic Expressions	542	(11)
Simplifying Algebraic Expressions	553	(14)
The Properties of Equality	567	(12)
Equations with More Than One Operation	579	(18)
Applications and Problem Solving	597	(28)
Read, Reflect, and Respond: Problem Solving in Practice	611	(2)
Glossary and Procedures	613	(2)
Review Exercises	615	(6)
Test	621	(4)
Rates, Ratios, and Percents	625
Introduction to the Chapter
Introduction to Ratios and Rates	626	(13)
Proportions	639	(16)
Introduction to Percents	655	(16)
Applications of Percents	671	(32)
Circle Graphs	703	(22)
Read, Reflect, and Respond: The Value of Mathematics for Citizenship	725	(2)
Glossary and Procedures	727	(2)
Review Exercises	729	(12)
Test	741
Appendix 1: Geometry
Introduction to the Appendix
A1.1 Essential Terms and Definitions	3	(8)
A1.2 Perimeter and Circumference	11	(6)
A1.3 Area	17	(8)
A1.4 Volume	25	(10)
A1.5 Similar Polygons	35	(10)
Appendix 2: Using Technology
Introduction to the Appendix
A2.1 Adding, Subtracting, Multiplying, and Dividing Whole Numbers with a Calculator	45	(8)
A2.2 Adding, Subtracting, Multiplying, and Dividing Integers with a Calculator	53	(6)
A2.3 Fraction Arithmetic with a Calculator	59	(6)
A2.4 Decimal Arithmetic with a Calculator	65	(6)
Answers to Odd-Numbered Exercises	71
Index	1