Basic College Mathematics With Early Integers

An award-winning instructor and best-selling author, 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 developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most “teachable moment!”

Elayn’s experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the videos useful for review.

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

Vocabulary Check

Highlights

Review

Test

2. Integers and Introduction to Variables

2.1 Introduction to Variables and Algebraic Expressions

2.2 Introduction to Integers

2.3 Adding Integers

2.4 Subtracting Integers

Integrated Review-Integers

2.5 Multiplying and Dividing Integers

2.6 Order of Operations

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

3. Fractions

3.1 Introduction to Fractions and Mixed Numbers

3.2 Factors and Simplest Form

3.3 Multiplying and Dividing Fractions

3.4 Adding and Subtracting Like Fractions and Least Common Denominator

Integrated Review-Summary on Fractions and Operations on Fractions

3.5 Adding and Subtracting Unlike Fractions

3.6 complex Fractions, Order of Operations, and Mixed Numbers

3.7 Operations on Mixed Numbers

Group Activity

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

4. Decimals

4.1 Introduction to Decimals

4.2 Adding and Subtracting Decimals

4.3 Multiplying Decimals and Circumference of a Circle

4.4 Dividing Decimals

Integrated Review-Operations on Decimals

4.5 Fractions, Decimals, and Order of Operations

4.6 Square Roots and the Pythagorean Theorem

Group Activity

Vocabulary Check

Chapter Review

Chapter Test

Cumulative Review

5. Ratio, Proportion, and Measurement

5.1 Ratios

5.2 Proportions

5.3 Proportions and Problem Solving

Integrated Review-Ratio and Proportion

5.4 Length: U.S. and Metric Systems

5.5 Weight and Mass: U.S. and Metric Systems

5.6 Capacity: U.S. and Metric Systems

5.7 Conversions Between the U.S. and Metric Systems

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

6. Percent

6.1 Percents, Decimals, and Fractions

6.2 Solving Percent Problems Using Equations

6.3 solving Percent Problems Using Proportions

Integrated Review-Percent and Percent Problems

6.4 Applications of Percent

6.5 Percent and Problem solving: Sales tax, Commission, and Discount

6.6 Percent and Problem Solving: Interest

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

7. Statistics and Probability

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

7.2 Reading Circle Graphs

Integrated Review-Reading Graphs

7.3 Mean, Median, and Mode

7.4 Counting and Introduction to Probability

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

8. Introduction to Algebra

8.1 Variable Expressions

8.2 Solving Equations: The Addition Property

8.3 Solving Equations: The Multiplication Property

Integrated Review-Expressions and Equations

8.4 Solving Equations Using Addition and Multiplication Properties

8.5 Equations and Problem Solving

Group Activity

Vocabulary Check

Highlights

Review

Test

Cumulative Review

9. Geometry

9.1 Lines and Angles

9.2 Plane Figures and Solids

9.3 Perimeter

9.4 Area

9.5 Volume

Integrated Review-Geometry Concepts

9.6 Congruent and Similar Triangles

Group Activity

Vocabulary Check

Highlights

Review

Test Cumulative Review

Appendices

Appendix A: Tables

Appendix B: Exponents and Polynomials

Appendix C: Inductive and Deductive Reasoning

Student Resources

Study Skills Builders

Bigger Picture-Study Guide Outline

Practice Final Exam

Answers to Selected Exercises

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