MyLab Math Notebook for Elementary Algebra

Description

1. Introduction to Modeling
   • 1.1 Variables and Constants
   • 1.2 Scatterplots
   • 1.3 Exact Linear Relationships
   • 1.4 Approximate Linear Relationships
     • Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice
2. Operations and Expressions
   • 2.1 Expressions
   • 2.2 Operations with Fractions
   • 2.3 Absolute Value and Adding Real Numbers
   • 2.4 Change in a Quantity and Subtracting Real Numbers
   • 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
   • 2.6 Exponents and Order of Operations
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab
3. Using Slope To Graph Linear Equations
   • 3.1 Graphing Equations of the Forms y = mx + b and x = a
   • 3.2 Graphing Linear Models; Unit Analysis
   • 3.3 Slope of a Line
   • 3.4 Using Slope to Graph Linear Equations
   • 3.5 Rate of Change
     • Taking It to the Lab: Climate Change Lab
4. Simplifying Expressions and Solving Equations
   • 4.1 Simplifying Expressions
   • 4.2 Simplifying More Expressions
   • 4.3 Solving Linear Equations in One Variable
   • 4.4 Solving More Linear Equations in One Variable
   • 4.5 Comparing Expressions and Equations
   • 4.6 Formulas
5. Linear Equations in Two Variables and Linear Inequalities in One Variable
   • 5.1 Graphing Linear Equations in Two Variables
   • 5.2 Finding Equations of Lines
   • 5.3 Finding Equations of Linear Models
   • 5.4 Using Equations of Linear Models to Make Estimates and Predictions
   • 5.5 Solving Linear Inequalities in One Variable
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice
6. Systems of Linear Equations and Systems of Linear Inequalities
   • 6.1 Using Graphs and Tables to Solve Systems
   • 6.2 Using Substitution to Solve Systems
   • 6.3 Using Elimination to Solve Systems
   • 6.4 Using Systems to Model Data
   • 6.5 Perimeter, Value, Interest, and Mixture Problems
   • 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 5)
7. Polynomials and Properties of Exponents
   • 7.1 Graphing Quadratic Equations
   • 7.2 Quadratic Models
   • 7.3 Adding and Subtracting Polynomials
   • 7.4 Multiplying Polynomials
   • 7.5 Powers of Polynomials; Product of Binomial Conjugates
   • 7.6 Properties of Exponents
   • 7.7 Negative-Integer Exponents
   • 7.8 Dividing Polynomials
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab
8. Factoring Polynomials and Solving Polynomial Equations
   • 8.1 Factoring Trinomials of the Form x² + bx + c and Differences of Two Squares
   • 8.2 Factoring Out the GCF; Factoring by Grouping
   • 8.3 Factoring Trinomials of the Form ax² + bx + c
   • 8.4 Sums and Differences of Cubes; A Factoring Strategy
   • 8.5 Using Factoring to Solve Polynomial Equations
   • 8.6 Using Factoring to Make Predictions with Quadratic Models
9. Solving Quadratic Equations
   • 9.1 Simplifying Radical Expressions
   • 9.2 Simplifying More Radical Expressions
   • 9.3 Solving Quadratic Equations by the Square Root Property; The Pythagorean Theorem
   • 9.4 Solving Quadratic Equations by Completing the Square
   • 9.5 Solving Quadratic Equations by the Quadratic Formula
   • 9.6 More Quadratic Models
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7)
10. Rational Expressions and Equations
    • 10.1 Simplifying Rational Expressions
    • 10.2 Multiplying and Dividing Rational Expressions; Converting Units
    • 10.3 Adding Rational Expressions
    • 10.4 Subtracting Rational Expressions
    • 10.5 Solving Rational Equations
    • 10.6 Proportions; Similar Triangles
    • 10.7 Variation
    • 10.8 Simplifying Complex Rational Expressions
      • Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Estimating π Lab
11. More Radical Expressions and Equations
    • 11.1 Adding and Subtracting Radical Expressions
    • 11.2 Multiplying Radical Expressions
    • 11.3 Solving Square Root Equations

APPENDICES

• A. Using A TI-83 or TI-84 Graphing Calculator
• B. Using StatCrunch

The Lehmann series uses authentic data to model concepts and teach the math

• The curve-fitting approach, the central theme of this text, guides students through a four-step modeling process to analyze data. Students are asked to examine data, find an equation, verify that the model fits the scenario, and use the model to make estimates and predictions. 
• Hundreds of data sets in the text and MyLab — collected from scientific experiments, the Internet, the news, and the census — teach students to find equations of functions to model the data. Data sets have been updated and improved in several ways in the revision. 
• UPDATED! Data sets are updated to be as current and relevant as possible; 162 data sets in examples and exercises have been augmented to include recent years, and 212 data sets have been replaced with more compelling and timely topics such as immigration, national health care, and trust in the mass media.
• NEW! Large Data Set exercises encompass up to thousands of rows and tens of columns of data, and get students comfortable with analyzing “big data.”
• NEW! Downloadable data sets consist of 16 or more data values support the appropriate use of technology when completing exercises and labs. These can be downloaded as Excel^® files or opened in StatCrunch^® for analysis. 
• REVISED! Select exercises with authentic data have been carefully revised to retain their authenticity in MyLab Math, even when regenerating algorithmically. The author has taken special care to ensure that many exercises’ algorithmically regenerated versions still ask the student to work with actual data pulled from real-world situations. 

Opportunities to explore the math concepts and get hands-on with data encourage students to think critically

• Explorations promote active, collaborative learning. Most sections include at least one Group Exploration, which are designed to have students apply concepts they have learned in the section in new ways.
• UPDATED! Taking It To the Lab activities get students hands-on with making their own data and using the scientific method. All eight Climate Change Labs have been updated to address the latest data and political events concerning this incredibly relevant global issue.
  
• NEW! StatCrunch is available in MyLab Math with this course for the first time. StatCrunch is a web-based statistical software through which students can analyze and share data.
• NEW! Concepts and Explorations Notebook: Working with Authentic Data gives students opportunities to dig into data and solve problems using pencil and paper. This workbook is available to download in MyLab Math or printed, and includes explorations, modeling exercises, expanded graphing exercises, projects, and more. 
  

Extensive, well-rounded opportunities for practice and reinforcement ensure that students build a strong foundation of understanding

• End-of-section exercise sets include Modeling exercises, “Related Review” exercises, “Expressions, Equations, Functions, and Graphs” exercises, and more – ensuring that students are exposed to a variety of ways to reinforce concepts. 
• UPDATED! The number of skill, modeling, and conceptual exercises in MyLab Math has been increased to fully capture the spirit of the print textbook. For the first time, Related Review exercises will be assignable in MyLab Math.

Also available with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. MyLab Math provides abundant opportunities to explore concepts, analyze data, and practice skills. Learn more about MyLab Math.

Reach every student with MyLab

• Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. That’s why we partner with highly respected authors to develop interactive content and course-specific resources that you can trust—and that keep your students engaged. 
• Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need—when and where they need it—to be successful.
• Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab gives you the flexibility to easily create your course to fit your needs.
• Improve student results: When you teach with MyLab, student performance often improves. That’s why instructors have chosen MyLab for over 15 years, touching the lives of over 50 million students.

Jay Lehmann has taught for the past 25 years at College of San Mateo, where he received the “shiny apple award” for excellence in teaching. He has presented at over 80 conferences including AMATYC and ICTCM over the past 16 years. Jay is currently the newsletter editor for California Mathematics Council, Community Colleges (CMC3). Still young at heart, he plays in a rock band appropriately named the Procrastinistas. Jay has authored several algebra textbooks published by Pearson and is has also recently completed a Prestatistics textbook.

In the words of the author:

Before writing my algebra series, it was painfully apparent that my students couldn’t relate to the applications in the course. I was plagued with the question, “What is this good for?” To try to bridge that gap, I wrote some labs, which facilitated my students in collecting data, finding models via curve fitting, and using the models to make estimates and predictions. My students really loved working with the current, compelling, and authentic data and experiencing how mathematics truly is useful.

My students’ response was so strong that I decided to write an algebra series. Little did I know that to realize this goal, I would need to embark on a 15-year challenging journey, but the rewards of hearing such excitement from students and faculty across the country have made it all worthwhile! I’m proud to have played even a small role in raising people’s respect and enthusiasm for mathematics.

I have tried to honor my inspiration: by working with authentic data, students can experience the power of mathematics. A random-sample study at my college suggests that I am achieving this goal. The study concludes that students who used my series were more likely to feel that mathematics would be useful in their lives (P-value 0.0061) as well as their careers (P-value 0.024).

The series is excellent preparation for subsequent courses; in particular, because of the curve fitting and emphasis on interpreting the contextual meaning of parameters, it is an ideal primer for statistics. In addition to curve fitting, my approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, and of course, a large bank of skill problems. The curve-fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the course.