Basic Mathematics

Description

Features

• The highly interactive approach combines concise instruction with a clean,innovative design to ensure that students are actively engaged in the material.
  • Guided Practice exercises are designed to sit alongside the examples in the text. Students navigate through finding a solution to a problem similar to the example they are shown.
  • Interactive Definitions accompany Examples and Guided Practice as appropriate to help students develop an understanding of a critical or difficult mathematical term.
  • “Do you Understand?” questions follow the Interactive Definitions, ensuring that students have absorbed the material. Students are then asked to determine if they've “Got it” or need to “Get Help.”
  • The clean design includes a subtle yellow background on all pages to make reading easier on the eyes.
  • Topic-specific Flow Charts appear as appropriate throughout the book to walk students through the thought process needed to solve a particular type of problem.
  • Study tips are designed to reach today's students. Twitter® is used throughout the text, with the authors also providing a tweet for every exercise set of every section, giving students timely hints and suggestions to also help with specific exercises.
• Vocabulary is heavily integrated in the exposition to reinforce comprehension.
  • Vocabulary Preview appears at the very beginning of each section. This familiarizes students with the key vocabulary for the section before they encounter it in context.
  • The second time the vocabulary is introduced is through Interactive Definitions; these appear with Examples and Guided Practice when students need to develop an understanding of a critical or difficult mathematical term. At the end of the feature, students see an additional “Do You Understand” question, followed by “Got It” or “Get Help.”
  • Vocabulary Review appears at the start of every end-of section exercise set.
• Students are given many opportunities to practice skills and reinforce concepts at every level of the text.
  • Objective Level:
    • Concept Check exercises are assignable and precede the Objective Practice problems.
    • Objective Practice exercises appear after the examples, Guided Practice, and Concept Checks. Exercises are numbered, so they can easily be used as in-class work or assigned for homework.
  • End-of-Section Level:
    • Self Assessments appear at the end of the exercise set of the first section of every chapter after Chapter 1. Students are asked to evaluate how they did on their last test and how well they felt they had prepared for it.
    • Question Logs appear after the exercise set in each section. Students are provided an organized space to write down questions for their instructor.
    • Section Exercises are two-fold: they review all basic skills just learned and then incorporate those skills with higher-level thinking questions that include applications, analysis, and synthesis.
  • End-of-Chapter Level:
    • The Chapter Organizer appears at the end of the chapter. It serves as an additional review of key concepts, vocabulary, and procedures. Students are able to use this as a study aid for each chapter.
    • Chapter Review exercises follow the Chapter Organizer. Exercises are organized by section so students can refer back through the text for help.
    • Chapter Test follows every Chapter Review and covers the key topics within each chapter.

• This text is available through the Pearson Custom Library. If your course does not cover all the chapters in this text, we encourage you to build a version that more closely matches your syllabus. Visit the Pearson Custom Library for more information.
  

Table of Contents

1. Whole Numbers

1.1 Understanding Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Exponents, Groupings, and the Order of Operations

1.7 Properties of Whole Numbers

1.8 The Greatest Common Factor and Least Common Multiple

1.9 Applications with Whole Numbers

Chapter 1 Chapter Organizer

Chapter 1 Review Exercises

Chapter 1 Practice Test

2. Fractions

2.1 Visualizing Fractions

2.2 Multiplying Fractions

2.3 Dividing Fractions

2.4 Adding and Subtracting Fractions

2.5 Fractions and the Order of Operations

2.6 Mixed Numbers

Chapter 2 Chapter Organizer

Chapter 2 Review Exercises

Chapter 2 Practice Test

3. Decimals

3.1 Understanding Decimal Numbers

3.2 Adding and Subtracting Decimal Numbers

3.3 Multiplying Decimal Numbers

3.4 Dividing Decimal Numbers

Chapter 3 Chapter Organizer

Chapter 3 Review Exercises

Chapter 3 Practice Test

4. Ratios, Rates, and Proportions

4.1 Ratios and Rates

4.2 Writing and Solving Proportions

4.3 Applications of Ratios, Rates and Proportions

Chapter 4 Chapter Organizer

Chapter 4 Review Exercises

Chapter 4 Practice Test

5. Percents

5.1 Percents, Fractions, and Decimals

5.2 Use Proportions to Solve Percent Exercises

5.3 Use Equations to Solve Percent Exercises

Chapter 5 Chapter Organizer

Chapter 5 Review Exercises

Chapter 5 Practice Test

6. Units of Measure

6.1 U.S. System Units of Measure

6.2 Metric System Units of Measure

6.3 Converting Between the U.S. System and the Metric System

Chapter 6 Chapter Organizer

Chapter 6 Review Exercises

Chapter 6 Practice Test

7. Geometry

7.1 Angles

7.2 Polygons

7.3 Perimeter and Area

7.4 Circles

7.5 Volume

7.6 Square Roots and the Pythagorean Theorem

7.7 Similarity

Chapter 7 Chapter Organizer

Chapter 7 Review Exercises

Chapter 7 Practice Test

8. Statistics

8.1 Reading Graphs

8.2 Mean, Median and Mode

Chapter 8 Chapter Organizer

Chapter 8 Review Exercises

Chapter 8 Practice Test

9. Signed Numbers

9.1 Understanding Signed Numbers

9.2 Adding and Subtracting Signed Numbers

9.3 Multiplying and Dividing Signed Numbers

9.4 The Order of Operations and Signed Numbers

Chapter 9 Chapter Organizer

Chapter 9 Review Exercises

Chapter 9 Practice Test

10. Introduction to Algebra

10.1 Introduction to Variables

10.2 Operations with Variable Expressions

10.3 Solving One-Step Equations

10.4 Solving Multi-Step Equations

Chapter 10 Chapter Organizer

Chapter 10 Review Exercises

Chapter 10 Practice Test

Appendices

A. Additional Practice and Review

            Section 1.2 Extra Practice, Addition Facts

            Section 1.3 Extra Practice, Subtraction Facts

            Section 1.4 Extra Practice, Multiplication Facts

            Mid Chapter Review, Chapter 1

            Mid Chapter Review, Chapter 2

            Mid Chapter Review, Chapter 9

B. Tables

            Basic Facts for Addition

            Basic Facts for Multiplication

            Square Roots

Author

Brian Goetz has helped students of all levels achieve success in mathematics for sixteen years. As a curriculum specialist for the Grand Rapids Area Precollege Engineering Program, he created numerous materials to motivate and inspire underserved populations. Brian also ran a math learning center at Bay de Noc Community College, where he helped students exceed their expectations of success. Brian has been teaching at Kellogg Community College for eight years. A common thread throughout all his teaching experiences is that an active and supportive environment is needed for students to succeed. With this belief close to his heart, Brian finds working with the other authors to be one of the most rewarding experiences of his career. When he isn't working, Brian spends quality time with his family and friends, mountain bikes, and kayaks. He dreams of spending a summer kayaking around Lake Superior.

Graham Smith has spent his life immersed in education. He was raised in a family of six teachers, where dinner conversations often centered on public education. Since then, Graham has gained sixteen years of classroom experience, and spent the last 9 years teaching full-time at Kellogg Community College (KCC). The majority of Graham's professional life has been focused on the education and success of the under-prepared student, which he continues through this work as the Developmental Mathematics Coordinator at KCC. Graham's substantial training and experience in mathematics and education, as well as his training and certification in developmental education through the Kellogg Institute at Appalachian State University and the National Center for Developmental Education, provide a comprehensive understanding of developmental mathematics. This background and experience provide the author team with a well-developed perspective. In his spare time, Graham enjoys spending time with his wife Amy, catching big fish, playing the guitar, and tinkering with his car that runs on recycled vegetable oil.

Dr. John Tobey currently teaches mathematics at North Shore Community College in Danvers, MA where he has taught for thirty-nine years. Previously Dr. Tobey taught calculus at the United States Military Academy at West Point. He has a doctorate from Boston University and a Master's degree from Harvard. He served as the mathematics department chair for his college for five years. He has authored and co-authored eight college mathematics textbooks with Pearson. He is a past president of New England Mathematics Association of Two Year Colleges (NEMATYC) and is an active member of the American Mathematics Association of Two Year Colleges (AMATYC). In 1993 Dr. Tobey received the NISOD award for excellence in teaching.