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“Do the Math” Video Notebook for Elementary Algebra
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Description
About the Book
Extra Sullivan-level Student Support
- Quick Response (QR) codes now appear at each section opener, at section-¿level exercises, and as part of the Chapter Tests. They link students to the videos and applets that are available for that section, giving them resources at their fingertips.
Also available with MyLab Math.
MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.
- Video Program gives students just-in-time help at home, in the lab, or to go through a wealth of video resources in the MyLab Math course. Video resources include:
- Author-in-Action videos feature author Mike Sullivan delivering in-class lectures and interacting with a live student audience. Students have access to a master teacher regardless of where and when they are studying.
- Example-level solution clips
- Chapter Test Prep videos help students during their most teachable moment–when they are preparing for a test with step-by-step solutions for the exercises found in each Chapter Test.
- How To exercises ask students to test their knowledge and are truly assignable in MyLab Math. These Guided Exercises walk students through each step of the problem-solving process, giving them a guided, step-by-step learning experience. These exercises were written and developed by Jessica Bernards and Wendy Fresh who are contributors to the author team. Students are required to respond to questions as the steps to solving problems are developed. This is similar to the Help Me Solve This feature in MyLab Math. They keep students engaged while developing their conceptual understanding.
- GeoGebra applets have been developed by Jessica Bernards and Wendy Fresh along with discovery activities to allow students to develop understanding of mathematical concepts through experiential learning. These enable students to explore and manipulate math in a visual and tangible way. The Geogebra applets may be found in MyLab Math or directly at www.pearsonhighered.com/SullivanApplets.
- Quick Response (QR) codes now appear at each section opener, at section-¿level exercises, and as part of the Chapter Tests. Each code links students to the videos and applets that are available for that section, giving them resources at their fingertips.
- Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
The Video Notebook is an unbound, three-hole-punched workbook/note-taking guide that students use in conjunction with the Sullivan/Struve/Mazzarella “Author in Action” videos. The notebook helps them develop organized notes as they work along with the videos.
- A Video Guide for each section is organized by learning objective. Typically, there is one Author in Action video per objective, and students are asked to write down important definitions and procedures and work through key examples as they watch the video.
- The clean layout and ample space let students write out full definitions and show all work for the examples.
- The unbound, loose-leaf format allows students to insert additional notes from class and/or homework–so they can build a course notebook and good study skills for future classes!
Preface
1. Operations on Real Numbers and Algebraic Expressions
1.1. Success in Mathematics
1.2. Fractions, Decimals, and Percents
1.3. The Number Systems and the Real Number Line
1.4. Adding, Subtracting, Multiplying, and Dividing Integers
1.5. Adding, Subtracting, Multiplying, and Dividing Rational Numbers
Putting the Concepts Together (Sections 1.2–1.5)
1.6. Properties of Real Numbers
1.7. Exponents and the Order of Operations
1.8. Simplifying Algebraic Expressions
Chapter 1 Activity: The Math Game
Chapter 1 Review
Chapter 1 Test
2. Equations and Inequalities in One Variable
2.1. Linear Equations: The Addition and Multiplication Properties of Equality
2.2. Linear Equations: Using the Properties Together
2.3. Solving Linear Equations Involving Fractions and Decimals; Classifying Equations
2.4. Evaluating Formulas and Solving Formulas for a Variable
Putting the Concepts Together (Sections 2.1–2.4)
2.5. Problem Solving: Direct Translation
2.6. Problem Solving: Problems Involving Percent
2.7. Problem Solving: Geometry and Uniform Motion
2.8. Solving Linear Inequalities in One Variable
Chapter 2 Activity: Pass to the Right
Chapter 2 Review
Chapter 2 Test
3. Introduction to Graphing and Equations of Lines
3.1. The Rectangular Coordinate System and Equations in Two Variables
3.2. Graphing Equations in Two Variables
3.3. Slope
3.4. Slope-Intercept Form of a Line
3.5. Point-Slope Form of a Line
3.6. Parallel and Perpendicular Lines
Putting the Concepts Together (Sections 3.1–3.6)
3.7. Linear Inequalities in Two Variables
Chapter 3 Activity: Graphing Practice
Chapter 3 Review
Chapter 3 Test
Cumulative Review Chapters 1–3
4. Systems of Linear Equations and Inequalities in Two Variables
4.1. Solving Systems of Linear Equations by Graphing
4.2. Solving Systems of Linear Equations Using Substitution
4.3. Solving Systems of Linear Equations Using Elimination
Putting the Concepts Together (Sections 4.1–4.3)
4.4. Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations
4.5. Solving Mixture Problems Using Systems of Linear Equations
4.6. Systems of Linear Inequalities
Chapter 4 Activity: Find the Numbers
Chapter 4 Review
Chapter 4 Test
5. Exponents and Polynomials
5.1. Adding and Subtracting Polynomials
5.2. Multiplying Monomials: The Product and Power Rules
5.3. Multiplying Polynomials
5.4. Dividing Monomials: The Quotient Rule and Integer Exponents
Putting the Concepts Together (Sections 5.1–5.4)
5.5. Dividing Polynomials
5.6. Applying the Exponent Rules: Scientific Notation
Chapter 5 Activity: What Is the Question?
Chapter 5 Review
Chapter 5 Test
Cumulative Review Chapters 1–5
6. Factoring Polynomials
6.1. Greatest Common Factor and Factoring by Grouping
6.2. Factoring Trinomials of the Form x^2 + bx + c
6.3. Factoring Trinomials of the Form ax^2 + bx + c, a ≠ 1
6.4. Factoring Special Products
6.5. Summary of Factoring Techniques
Putting the Concepts Together (Sections 6.1–6.5)
6.6. Solving Polynomial Equations by Factoring
6.7. Modeling and Solving Problems with Quadratic Equations
Chapter 6 Activity: Which One Does Not Belong?
Chapter 6 Review
Chapter 6 Test
7. Rational Expressions and Equations
7.1. Simplifying Rational Expressions
7.2. Multiplying and Dividing Rational Expressions
7.3. Adding and Subtracting Rational Expressions with a Common Denominator
7.4. Finding the Least Common Denominator and Forming Equivalent Rational Expressions
7.5. Adding and Subtracting Rational Expressions with Unlike Denominators
7.6. Complex Rational Expressions
Putting the Concepts Together (Sections 7.1–7.6)
7.7. Rational Equations
7.8. Models Involving Rational Equations
7.9. Variation
Chapter 7 Activity: Correct the Quiz
Chapter 7 Review
Chapter 7 Test
Cumulative Review Chapters 1–7
8. Roots and Radicals
8.1. Introduction to Square Roots
8.2. Simplifying Square Roots
8.3. Adding and Subtracting Square Roots
8.4. Multiplying Expressions with Square Roots
8.5. Dividing Expressions with Square Roots
Putting the Concepts Together (Sections 8.1–8.5)
8.6. Solving Equations Containing Square Roots
8.7. Higher Roots and Rational Exponents
Chapter 8 Activity: Working Together with Radicals
Chapter 8 Review
Chapter 8 Test
9. Quadratic Equations
9.1. Solving Quadratic Equations Using the Square Root Property
9.2. Solving Quadratic Equations by Completing the Square
9.3. Solving Quadratic Equations Using the Quadratic Formula
Putting the Concepts Together (Sections 9.1–9.3)
9.4. Problem Solving Using Quadratic Equations
9.5. The Complex Number System
Chapter 9 Activity: The Math Game
Chapter 9 Review
Chapter 9 Test
Cumulative Review Chapters 1–9
10. Graphs of Quadratic Equations in Two Variables and an Introduction to Functions
10.1. Quadratic Equations in Two Variables
10.2. Relations
Putting the Concepts Together (Sections 10.1 and 10.2)
10.3. An Introduction to Functions
Chapter 10 Activity: Discovering Shifting
Chapter 10 Review
Chapter 10 Test
Appendix A: Table of Square Roots
Appendix B: Geometry Review
Photo Credits
Answers to Selected Exercises
Graphing Answer Section
Applications Index
Subject Index
With training in mathematics, statistics, and economics, Michael Sullivan III has a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series, which he writes with his father, Michael Sullivan.
Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series.When not in the classroom or writing, Michael enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf. Now that his two sons are getting older, he has the opportunity to do both at the same time!
Kathy Struve has been a classroom teacher for nearly 35 years, first at the high school level and, for the past 27 years, at Columbus State Community College. Kathy embraces classroom diversity: diversity of students’ age, learning styles, and previous learning success. She is aware of the challenges of teaching mathematics at a large, urban community college, where students have varied mathematics backgrounds and may enter college with a high level of mathematics anxiety.
Kathy served as Lead Instructor of the Developmental Algebra sequence at Columbus State, where she developed curriculum, conducted workshops, and provided leadership to adjunct faculty in the mathematics department. She embraces the use of technology in instruction, and has taught web and hybrid classes in addition to traditional face-to-face emporium-style classes. She is always looking for ways to more fully involve students in the learning process. In her spare time Kathy enjoys spending time with her two adult daughters, her four granddaughters, and biking, hiking, and traveling with her husband.
Born and raised in San Diego county, Janet Mazzarella spent her career teaching in culturally and economically diverse high schools before taking a position at Southwestern College 25 years ago. Janet has taught a wide range of mathematics courses from arithmetic through calculus for math/science/engineering majors and has training in mathematics, education, engineering, and accounting.
Janet has worked to incorporate technology into the curriculum by participating in the development of Interactive Math and Math Pro. At Southwestern College, she helped develop the self-paced developmental mathematics program. In addition, Janet was the Dean of the School of Mathematics, Science, and Engineering, the Chair of the Mathematics Department, the faculty union president, and the faculty coordinator for Intermediate Algebra. In the past, free time consisted of racing motorcycles off-road in the Baja 500 and rock climbing, but recently she has given up the adrenaline rush of these activities for the thrill of traveling in Europe.
Jessica Bernards and Wendy Fresh of Portland Community College have worked extensively with the author team to create the How to exercises, new Geogebra applet exercises, and have made the assignments for the New MyMathLab courses.
About the Book
Unique Sullivan examples and exercise sets distinguish the text
- Sullivan Examples are presented in a two-column, annotated format that explains what the authors are about to do in each step, just as a professor would. These examples read left to right, so that students understand what each step is accomplishing as they read through. (Often examples have annotations or pointers after each step, rather than before.)
- Showcase Examples take the explanations one step further with a three column format that breaks the problem solving process down for students. The left column describes a step, the middle column provides a brief annotation, as needed, to explain the step, and the right column presents the algebra.
- The Sullivan/Struve/Mazzarella Algebra program is designed to motivate students to “do the math”–at home or in the lab–through a full suite of resources that support a variety of learning environments.
- Variety of exercise types throughout each section
- Building Skills exercises develop students’ understanding of the procedures and skills in working with the methods presented in the section.
- Mixed Practice exercises offer comprehensive skill assessment by asking students to relate multiple concepts or objectives.
- Quick Check exercises exercises follow the examples, allowing students to apply what they have just learned. These are numbered as the first problems in each section’s exercise set, making them assignable as homework, and giving an easy way refer back to the relevant examples for extra help. Quick Checks include fill-in-the-blank and True/False questions to assess students’ understanding of vocabulary and formulas.
Extra Sullivan-level Student Support
- NEW! Quick Response (QR) codes now appear at each section opener, at section-level exercises, and as part of the Chapter Tests. They link students to the videos and applets that are available for that section, giving them resources at their fingertips.
- “Are You Prepared for this Section” problems test students’ grasp of the prerequisite material for each new section.
- Explaining the Concepts problems ask students to explain concepts in their own words.
- Various exercises to assist students’ understanding
- Applying the Concepts exercises ask students to apply the mathematical concepts to real-world situations.
- Extending the Concepts exercises go beyond the basics, using a variety of problems to sharpen students’ critical-thinking skills.
- Synthesis Review exercises help students grasp the “big picture” of algebra–once they have a sufficient conceptual foundation to build upon from their work in Chapters R through 4. Synthesis Review exercises ask students to perform a single operation (adding, solving, and so on) on several objects (polynomials, rational expressions, and so on). The student is then asked to discuss the similarities and differences in performing the same operation on the different objects.
- Technology exercises are included at the close of a section’s exercise set, allow for the use of graphing technology, such as graphing calculators, GeoGebra, or Demos to solve problems. These exercises are entirely optional.
- Problem Icons flag selected problems to denote that:
The Video Notebook is an unbound, three-hole-punched workbook/note-taking guide that students use in conjunction with the Sullivan/Struve/Mazzarella “Author in Action” videos. The notebook helps them develop organized notes as they work along with the videos.
- A Video Guide for each section is organized by learning objective. Typically, there is one Author in Action video per objective, and students are asked to write down important definitions and procedures and work through key examples as they watch the video.
- The clean layout and ample space let students write out full definitions and show all work for the examples.
- The unbound, loose-leaf format allows students to insert additional notes from class and/or homework–so they can build a course notebook and good study skills for future classes!
Additional information
| Dimensions | 0.80 × 8.40 × 10.80 in |
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| Subjects | mathematics, higher education, Developmental Math, Elementary Algebra |