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Intermediate Algebra: Connecting Concepts through Applications,
2nd Edition

Mark Clark, Cynthia Anfinson

ISBN-13: 9781337615587 | ISBN-10: 1337615587

Copyright 2019

| Published 2018

| 976 pages

List Price USD $199.95

Overview

INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition, shows you how to apply traditional mathematical skills in real-world situations. With an emphasis on skill building and applications, concepts are connected to the real world, helping you master the material and enhance your problem-solving skills. The authors have developed several techniques to make the concepts as vivid as possible for you. First, they integrated applications to show you why and how math applies to our lives. Second, the authors use "Concept Investigations" activities to explore patterns and relationships in the concepts studied. Third, they emphasize the tools needed for strong algebra skills with the Equation Solving Toolkit, Expression Simplifying Toolkit, Factoring Toolkit, and Modeling Toolkit. Fourth, the text underscores the importance of graphs and graphing by having you learn graphing by hand, while technology is used to display real-life data problems.

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Meet the Authors

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Mark Clark graduated from California State University, Long Beach, and holds bachelor's and master's degrees in Mathematics. A full-time associate professor at Palomar College, since 1996, Mark is committed to teaching using applications and technology to help students understand mathematics in context and communicate results clearly. Intermediate algebra is one of his favorite courses to teach and he continues to teach several sections of this course each year. He is co-author of BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, and BEGINNING AND INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS published by Cengage. Mark shares his passion for using applications to teach mathematical concepts by delivering workshops and talks to other instructors at local and national conferences.

Cynthia (Cindy) Anfinson graduated from UCSD's Revelle College in 1985, summa cum laude, with a Bachelor of Arts Degree in Mathematics and is a member of Phi Beta Kappa. She went to graduate school at Cornell University under the Army Science and Technology Graduate Fellowship. She graduated from Cornell in 1989 with a Master of Science Degree in Applied Mathematics. She is currently an Associate Professor of Mathematics at Palomar College and has been teaching there since 1995. Cindy Anfinson was a finalist in Palomar College's 2002 Distinguished Faculty Award.

  • There is an increased emphasis on students identifying equation and function types within solving, graphing, and modeling problems. This helps students review previous material and connect it to current topics.
  • Four Toolkits are included with the new edition: the Equation Solving Toolkit, Factoring Toolkit, Expression Simplifying Toolkit, and Modeling Toolkit. Integrated throughout the text with visual icons, just-in-time help connects students to the solving techniques and tools used for different problem types. Each Toolkit emphasizes how these fundamental equations are used throughout the course. A quick reference of all four Toolkits appears at the front of the text to emphasize the importance of using these from the start of the course.
  • DIGITAL CONTENT UPDATE 2020: Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Concept Checks, Learn Its, College Success Modules, an increased number of problems and more.
  • Students are asked to provide reasons for each step they took in selected Solving exercises. This helps students think critically about and explain the Solving process, and it connects with the Toolkits that are integrated throughout the text.
  • Chapter Projects. To enhance critical thinking, end-of-chapter projects can be assigned individually or as group work. Instructors select projects that align to their instructional focus and allow students to demonstrate their mathematical reasoning. Some projects include online research or extension activities that students must perform to analyze data and make conclusions.
  • Integrated "Student" Work. Clearly identifiable examples of "student" work appear throughout the text in Examples and Exercises. These boxes ask students to find and correct common errors in "student" work.
  • Step-by-step with In-Text Practice Problems. This text provides a comprehensive range of examples from basic techniques to realistic applications with manageable data sets to intriguing applications that stimulate critical thinking about phenomena and daily activities. Step-by-step are labeled so students can make the connection between the example and mathematical concepts. The accompanying In-Text Practice Problems help students build deeper understanding and provide additional practice opportunities. In addition, examples of hand-drawn graphs help students visualize what their own work should look like.
  • Innovative Critical-Thinking Feature: Concept Investigations. These directed-discovery activities can be used in many ways: as group work during class, as part of a lecture, or as individual assignments. Inserted at key points within the chapter, activities support student explorations of patterns and relationships represented by graphical and algebraic functions.
  • Appropriate Use of Graphing Technology. Graphing calculators are used in this text to help students understand mathematical concepts and to work with real-world data. Graphing calculators are used to create scatterplots of real data and to verify reasoning related to data models. Linear, quadratic, and exponential models are created by hand, using an eyeball best-fit approach and algebraic techniques. The calculator is also used to check solutions both graphically and numerically and to do some numerical calculations. Students, however, are also required to solve problems, graph, and do other algebraic skills by hand.
  • Appropriate Use of Graphing Technology. Graphing calculators are used in this text to help students understand mathematical concepts and to work with real-world data. Graphing calculators are used to create scatterplots of real data and to verify reasoning related to data models. Linear, quadratic, and exponential models are created by hand, using an eyeball best-fit approach and algebraic techniques. The calculator is also used to check solutions both graphically and numerically and to do some numerical calculations. Students, however, are also required to solve problems, graph, and do other algebraic skills by hand.
  • Exercise Sets. The exercise sets include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level. The exercise sets begin with vocabulary short-answer exercises. Most exercise sets continue with a few warm-up problems before focusing on applications. Exercise sets typically end with additional skill practice to help students master the concepts when needed. A balance of graphical, numerical, and algebraic skill problems is included throughout the book to help students see mathematics from several different views. End-of-book answers are written in full sentences to underscore the emphasis on student communication skills.
  • Extensive End-of-Chapter Material, Chapter Summaries, Review Exercises, Chapter Tests, Chapter Projects, and Cumulative Reviews reinforce student learning and provide review opportunities. Cumulative Reviews appear after every two chapters and group major topics across chapters. A student answer key is provided in the appendix.
  • Exercise Sets. The exercise sets include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level. The exercise sets begin with vocabulary short-answer exercises. Most exercise sets continue with a few warm-up problems before focusing on applications. Exercise sets typically end with additional skill practice to help students master the concepts when needed. A balance of graphical, numerical, and algebraic skill problems is included throughout the book to help students see mathematics from several different views. End-of-book answers are written in full sentences to underscore the emphasis on student communication skills.
  • The Annotated Instructor’s Edition will be replaced with a comprehensive Instructor's Manual. Practical tips and classroom examples are provided on how to approach and pace instruction and integrate features such as Concept Investigations. In addition, for every example in the student text, there is an accompanying classroom example and answer key that can be used for additional in-class practice and/or homework. Pair the Instructor's Manual with the loose-leaf version of the text to create the perfect Instructor's Edition mockup.
  • Practical Help for Instructors. Practical tips and classroom examples are provided in an Instructor's Manual, including recommendations for instructional approach and pacing and integration of features such as the Concept Investigations. In addition, for every student example in the student text, there is a different instructor classroom example in the Instructor's Manual, with accompanying answers that can be used for additional in-class practice and/or homework.
  • An Eyeball Best-Fit Approach. Linear, quadratic, and exponential functions are analyzed through modeling data using an eyeball best-fit approach. These models investigate questions in the context of real-life situations. Creating models by hand can help students analyze the components of each function, reinforcing solving techniques and enhancing connections to real-life data and how they affect a given function's graph. Graphing calculators are used to plot data and check the fit of each model.

Table of Contents

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1. LINEAR FUNCTIONS.
Solving Linear Equations. Fundamentals of Graphing and Slope. Intercepts and Graphing. Finding Equations of Lines. Functions and Function Notation. Using Data to Create Scatterplots. Finding Linear Models.
2. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Systems of Linear Equations. Solving Systems of Equations Using the Substitution Method. Solving Systems of Equations Using the Elimination Method. Solving Linear Inequalities. Absolute Value Equations and Inequalities. Solving Systems of Linear Inequalities.
3. EXPONENTS, POLYNOMIAL AND FUNCTIONS.
Rules for Exponents. Combining Functions. Composing Functions. Factoring Polynomials. Special Factoring Techniques.
4. QUADRATIC FUNCTIONS.
Quadratic Functions and Parabolas. Graphing Quadratic Function from Vertex Form. Finding Quadratic Models. Solving Quadratic Equations by Square Root Property and Completing the Square. Solving Equations by Factoring. Solving Quadratic Equations Using the Quadratic Formula. Graphing Quadratic Functions from Standard Form.
5. EXPONENTIAL FUNCTIONS.
Exponential Functions: Patterns of Growth and Decay. Solving Equations Using Exponent Rules. Graphing Exponential Functions. Finding Exponential Models. Exponential Growth and Decay Rates and Compounding Interest.
6. LOGARITHMIC FUNCTIONS.
Functions and Their Inverses. Logarithmic Functions. Graphing Logarithmic Functions. Properties of Logarithms. Solving Exponential Equations. Solving Logarithmic Equations.
7. RATIONAL FUNCTIONS.
Rational Functions and Variation. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Solving Rational Equations.
8. RADICAL FUNCTIONS.
Radical Functions. Graphing Radical Functions. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Solving Radical Equations. Complex Numbers.
9. CONICS SECTIONS.
Parabolas and Circles. Ellipses and Hyperbolas.
APPENDIX A.
Basic Algebra Review. Review of Number Systems. Operations with Integers. Operations with Rationals. Review of Solving Linear Equations. Scientific Notation. Interval Notation.
APPENDIX B.
Matrices. Solving Systems of Three Equations. Introduction to Matrices. Matrix Row Reduction. Solving Systems with Matrices. Using Systems of Three Equations to Model Quadratics.
APPENDIX C.
Using the Graphing Calculator. Steps for Using the Graphing Calculator. Troubleshooting Error Messages.
APPENDIX D.
Answers to Odd-Numbered Exercises.
APPENDIX E.
Answers to the Example Practice Problems.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Complete Solutions Manual for Clark/Anfinson's Intermediate Algebra: Connecting Concepts through Applications, 2nd

ISBN13:9781337615600
ISBN10:1337615609
A complete answer and solution manual with integrated practical tips and classroom examples. Paces chapters and provides a how-to approach as well as additional opportunities for in-class practice and homework.

Website for Clark/Anfinson's Intermediate Algebra: Connecting Concepts through Applications, 2nd

ISBN13:9781337615624
ISBN10:1337615625
Website

Cengage Testing, powered by Cognero® for Clark/Anfinson's Intermediate Algebra: Connecting Concepts through Applications, Instant Access

ISBN13:9781337615686
ISBN10:1337615684
Create, deliver, and customize tests (both print and online) in minutes with Computerized Testing featuring algorithmic equations. Microsoft PowerPoint lecture slides, figures, calculator practice, and additional new examples from the comprehensive Instructor's Manual are also included.

Student Solutions Manual for Clark/Anfinson's Intermediate Algebra: Connecting Concepts through Applications, 2nd

ISBN13:9781337615617
ISBN10:1337615617
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual. Featuring worked out-solutions to the problems in INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

Cengage Testing, powered by Cognero® for Clark/Anfinson's Intermediate Algebra: Connecting Concepts through Applications

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ISBN10:1337615676
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Intermediate Algebra

  • ISBN-10: 1337615587
  • ISBN-13: 9781337615587

Price USD$ 199.95

eBook: Intermediate Algebra 12Months

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