Intermediate Algebra: Connecting Concepts through Applications, 2nd Edition

Mark Clark, Cynthia Anfinson

Copyright 2019
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Intermediate Algebra: Connecting Concepts through Applications 2nd Edition by Mark Clark/Cynthia Anfinson

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Overview
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Overview

Show students how to apply traditional mathematical skills in real-world contexts with INTERMEDIATE ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition. Concepts become real and vivid as authors Clark and Anfinson draw from real data to show students why and how to apply math. Through conceptual explorations, skill building, and applications, this approach helps students master concepts and develop problem solving and communication skills. The authors integrate algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. An emphasis on building strong algebra skills supports applications while completing models by hand helps students focus on the characteristics of each function type. Accompanied by WebAssign, your students will be able to continue their learning experience while building confidence in their skills.

Meet the Authors

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Mark Clark

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 Anfinson

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.

Features

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JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).
LEARN IT MODULES address your students’ knowledge gaps with just-in-time instruction that meets their diverse learning styles. Available as an additional resource within questions, Learn Its provide targeted instruction and practice on that topic using narrative, videos and tutorials—all in one place. If the topic is still too challenging, students can choose to continue learning through associated prerequisite Learn Its until they feel confident in their knowledge and preparedness.
RESPONSIVE QUESTIONS personalize the learning experience for your students by asking them to use their own real data, which provides the variables they will use to answer each question part.
CONCEPT CHECK questions provide students with short, multi-step videos reviewing key math concepts. Students are required to answer a question after each video to ensure their understanding of each concept.
EXPANDED PROBLEMS include intermediary steps to guide students to the final answer.
MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.
COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.
CLASS INSIGHTS provide understanding of student knowledge gaps.
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.
INCREASED EMPHASIS on identifying equation and function types within solving, graphing, and modeling problems. This helps students review previous material and connect it to the current topics.
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 begin 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.
FOUR TOOLKITS are included with this 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.
CHAPTER PROJECTS enhance critical thinking, and can be assigned either individually or as group work. Instructors can choose which projects best suit the focus of their class and allow students to demonstrate their mathematical reasoning. Some of these projects include online research or activities that students must perform to analyze data and make conclusions.
CRITICAL THINKING FEATURE: Concept Investigations. These directed-discovery activities are ideal as group work during class, incorporated as part of a lecture, or as individual assignments to investigate concepts further. Inserted at key points within the chapter, each Concept Investigation supports student explorations of patterns and relationships represented by graphical and algebraic functions.

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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.