Basic College Mathematics

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.   Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”—as they prepare for a test—along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.   Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

1. The Whole Numbers

1.1 Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding Whole Numbers and Perimeter

1.4 Subtracting Whole Numbers

1.5 Rounding and Estimating

1.6 Multiplying Whole Numbers and Area

1.7 Dividing Whole Numbers

            Integrated Review–Operations on Whole Numbers

1.8 An Introduction to Problem Solving

1.9 Exponents, Square Roots, and Order of operations

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

 

2. Multiplying and Dividing Fractions

2.1 Introduction to Fractions and Mixed Numbers

2.2 Factors and Prime Factorization

2.3 Simplest Form of a Fraction

            Integrated Review–Summary on Fractions, Mixed Numbers, and Factors

2.4 Multiplying Fractions and Mixed Numbers

2.5 Dividing Fractions and Mixed Numbers

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiple

3.3 Adding and Subtracting Unlike Fractions

Integrated Review–Operations on Fractions and Mixed Numbers

3.4 Adding and Subtracting Mixed Numbers

3.5 Order, Exponents, and the Order of Operations

3.6 Fractions and Problem Solving

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

4. Decimals

4.1 Introduction to Decimals

4.2 Order and Rounding

4.3 Adding and Subtracting Decimals

4.4 Multiplying Decimals and Circumference of a Circle

            Integrated Review–Operations on Decimals

4.5 Dividing Decimals and Order of Operations

4.6 Fractions and Decimals

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

5. Ratio and Proportion

5.1 Ratios

5.2 Rates

            Integrated Review–Ratio and Rate

5.3 Proportions

5.4 Proportions and Problem Solving

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

6. Percent

6.1 Introduction to Percent

6.2 Percents and Fractions

6.3 Solving Percent Problems Using Equations

6.4 Solving Percent Problems Using Proportions

            Integrated Review–Percent and Percent Problems

6.5 Applications of Percent

6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.7 Percent and Problem Solving: Interest

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

7. Measurement

7.1 Length: U.S. and Metric Systems of Measurement

7.2 Weight and Mass: U.S. and Metric Systems of Measurement

7.3 Capacity: U.S. and Metric Systems of Measurement

            Integrated Review–Length, Weight and Capacity

7.4 Conversions Between the U.S. and Metric Systems

7.5 Temperature: U.S. and Metric Systems of Measurement

7.6 Energy: U.S. and Metric Systems of Measurement

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

8. Geometry

8.1 Lines and Angles

8.2 Plane Figures and Solids

8.3 Perimeter

8.4 Area

8.5 Volume

            Integrated Review–Geometry Concepts

8.6 Square Roots and the Pythagorean Theorem

8.7 Congruent and Similar Triangles

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

9. Statistics and Probability

9.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

9.2 Reading Circle Graphs

            Integrated Review–Reading Graphs

9.3 Mean, Median and Mode

9.4 Counting and Introduction to Probability

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

10. Signed Numbers

10.1 Signed Numbers

10.2 Adding Signed Numbers

10.3 Subtracting Signed Numbers

            Integrated Review–Signed Numbers

10.4 Multiplying and Dividing Signed Numbers

10.5 Order of Operations

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

11. Introduction to Algebra

11.1 Introduction to Variables

11.2 Solving Equations: The Addition Property

11.3 Solving Equations: The Multiplication Property

            Integrated Review–Expressions and Equations

11.4 Solving Equations Using Addition and Multiplication Properties

11.5 Equations and Problem Solving

            Group Activity

            Vocab Check

            Highlights

            Review

            Test

            Cumulative Review

 

Appendices

Appendix A: Tables

Appendix B: Unit Analysis

 

Student Resources

            Study Skills Builders

            Bigger Picture–Study Guide Outline

            Practice Final Exam

            Answers to Selected Exercises

            Solutions to Selected Exercises