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Intermediate Algebra: Everyday Explorations 5th Edition

Alice Kaseberg, Greg Cripe, Peter Wildman

  • Published
  • Previous Editions 2008, 2004
  • 672 Pages
Starting At 82.00 See pricing and ISBN options

Overview

Kaseberg/Cripe/Wildman's respected INTERMEDIATE ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention.

Alice Kaseberg, Emerita Lane Community College, Eugene, Oregon

Alice Kaseberg combines 30 years of secondary school and community college teaching experience with an avid mathematical curiosity, constantly seeking to answer the commonly asked question, "What is mathematics good for?" Her BA in Business Administration, MA in Mathematics, and MS in Engineering Science reflect her keen interest in academics and mathematics applications. She began her career as a teacher in Australia. Then, as a junior high teacher, she class-tested materials from the Mathematics Resource Project, Lane County Math Project, School Mathematics Project (of Great Britain), and Bob Wirtz's Drill and Practice at the Problem Solving Level. Her mentors were early advocates of the discovery approach, laboratory activities, and membership/involvement in professional organizations. Kaseberg has always reached out to mathematics students in a variety of situations. She was a high school teacher for the hearing impaired, where she taught contrasting classes such as Advanced Placement Calculus and remedial mathematics. Always eager to take on new projects, she organized weekly problem-solving activities for the entire department. As a community college teacher (15 years), she has taught a range of courses from Beginning Algebra through Calculus, as well as Strength of Materials and Statics in Engineering. While on sabbatical from teaching, she worked 15 months for the EQUALS Project, Berkeley, CA, writing Odds-on-You and coauthoring the EQUALS Handbook. In addition to her teaching at the school and community college level, she has developed and presented numerous workshops on mathematics applications, content strategies, problem solving, art and math, and teaching strategies. Group work and intense participation by attendees characterize her workshops and her classroom. Her goal in writing textbooks is to help students succeed in mathematics, learn how to learn, and become actively aware of the mathematics in their daily lives.

Greg Cripe, Spokane Falls Community College, Spokane, Washington

Greg Cripe has been an instructor of mathematics for 10 years at Spokane Falls Community College in Spokane, WA. He has a wide variety of interests and teaching experiences. He has a performance degree in music and a B.S. in mathematics from Indiana University. While there, he also taught music lessons and set painting techniques. He taught high school mathematics while serving as a Peace Corps Volunteer in Swaziland. He then received an M.S. in mathematics from Eastern Washington University. He later went on to receive an M.A. in computer science and a Ph.D. in applied mathematics from the University of Montana. He was a visiting professor at Montana before taking his current position in Spokane.

Peter Wildman, Spokane Falls Community College, Spokane, Washington

Peter Wildman is an instructor of mathematics at Spokane Falls Community College in Spokane, WA. Prior to teaching at Spokane Falls, he taught at Casper College in Casper, WY for 16 years. He has been actively involved with mathematics at a national level. He is an active member of AMATYC, where he has served as Central Region Vice-President and as editor of the AMATYC journal MATHAMATYC EDUCATOR. He has also been active in a number of mathematics reform initiatives at a regional and national level. Wildman has a great interest in finding and adopting authentic applications of mathematics to the classroom. He has worked as an author for a number of projects that focus on generating real-life applications, such as the Wyoming Real Life Mathematics Project, NASA--AMATYC--NSF Year I and II, and the math works project. Wildman has been fortunate to win a number of local and national teaching awards including the Phi Theta Kappa Teacher of the Year, The Rosenthal Outstanding Educator Award at Casper College, the AMATYC Teaching Excellence Award, and the NISOD Excellence Award. In his spare time Wildman writes and performs math songs and plays that are usually centered on mathematical history. Some of his recent plays include C.F. GAUSS EXPLAINS IT ALL TO YOU, Leonhard Euler--mathematical idol, and SIMONE POISSON'S EXCELLENT MATHEMATICAL DAY.
  • In order to preserve alignment of the content with the AMATYC standards but also to reflect the evolution of these standards over the years, content has been rethought and rearranged to focus on quadratic, exponential, and other functions.
  • Chapter 6, "Exponential and Logarithmic Functions," is formerly Chapter 8.
  • Chapter 7, "Systems of Linear and Non-Linear Equations and Inequalities," is formerly Chapter 9 and now includes a section on Sequences and Series to wrap up the thread of sequences carried throughout the book.
  • Online Chapter 8, "Probability," is formerly Chapter 10 and has been extensively rewritten and reorganized. The chapter now starts with probability.
  • The topic of solving systems of equations in three variables has been added.
  • Practice problems have been added throughout the text, usually following key Examples, giving students an opportunity to practice the concept demonstrated in the preceding Example. Clear explanations and accompanying practice problems are integrated throughout and serve to reinforce concept comprehension. Answers to the Practice problems appear in the Answer Boxes at the end of the section.
  • Reading Questions, which appear after the Answer Boxes, encourage students to examine the nuances of the vocabulary and to recognize that the language of algebra and its vocabulary is an essential part of comprehension. As a result, students are encouraged to discuss their results with classmates when they return to the next class. Answers to the Reading Questions can be found in the Annotated Instructor's Edition only. Activities, located at the end of each section, provide opportunities for students to do meaningful and interactive mathematics during class. The activities are paired or group exercises meant for exploration, summation or extension of basic ideas. In many sections, the Activity reflects how the mathematics applies to things of interest to the student.
  • Projects, located at the end of the Exercises, can serve as another opportunity for in-class activities or can be assigned as homework. All have been thoroughly evaluated, some revised, and others added as brand new.
  • The number of word problems and applications has been increased to replace some of the skill problems.
  • Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional mathematics content that you know and love with the most powerful online homework solution, WebAssign®. Enhanced WebAssign® engages students with immediate feedback, rich tutorial content, and interactive eBooks helping students to develop a deeper conceptual understanding of their subject matter. Online assignments can be built by selecting from thousands of text-specific problems or supplemented with problems from any Cengage Learning textbook.
  • A Review chapter, Chapter 0, has been added. The seven sections in new Chapter 0 have been formed from sections in the first three chapters of the fourth edition: Number Sense (1.2), Solving Equations with symbols (1.7) and with tables and graphs (1.6), Inequalities (2.1), Systems of Equations (3.1 and 3.2), Verbal Representations (1.4 and 3.3), and Mathematical Thinking: Problem Solving (1.1).
  • Chapter 1, "Linear Functions and Inequalities," was formerly Chapter 2 with the addition of Section 3.5.
  • Sections 2.5 and 2.6 have been pared down to Section 1.4 by moving introduction to absolute value equations into the following section on Linear Inequalities (formerly Section 3.5).
  • The fourth edition Chapter 3 has been eliminated by reviewing systems of two equations and quantity and rate equations in Chapter 0, introducing linear inequalities and absolute value inequalities in Chapter 1, and moving systems of three equations to Chapter 7.
  • Chapter 2, "Quadratic and Polynomial Functions," is formerly Chapter 4.
  • Chapter 3, "Square Roots; Quadratic Equations and Inequalities," is formerly Chapter 5.
  • Chapter 4, "Ratios, Variation, and Rational Functions," is formerly Chapter 6.
  • Chapter 5, "Exponents and Radicals," is formerly Chapter 7. The topic of Significant Digits has been dropped from Scientific Notation. Finding Inverse Functions has been moved to Chapter 6 and blended with an introduction to the logarithmic function.
  • A list of Objectives is included at the beginning of the section. They serve as a summary for both students and instructors and coordinate with the titles of the Examples.
  • The Warm-Up at the beginning of each section is designed to serve as a class opener, reviewing important concepts, beginning exploration, and linking prior and upcoming topics. Warm-Ups tend to be skill-oriented; they generally connect to the algebra needed to solve text examples. The answers to the Warm-Up appear in the Answer Box at the end of the section.
  • Each Example begins with a title, which states the purpose of the Example. Usually these titles relate back to the objectives for the section. Several Examples link with others elsewhere in the book.
  • Included throughout the text, Explorations are another type of Example that is intended to be used in class for individual or group exploration.
  • Answers to the Warm-Up and some Examples, as well as the Practice questions, are placed in the Answer Box at the end of each section. By providing answers as feedback, the Answer Box permits the text to be used in class or as a laboratory manual for group work or independent study.
  • Exercises include questions on problem solving and Projects that relate to topics from prior chapters.
  • Instructor Extras are available in the Annotated Instructor's Edition in the margin next to examples. These additional examples can be written on the board for student groups, presented in class, or used as quiz or test questions.
  • A graphing calculator continues to be incorporated where appropriate, including the addition of more screenshots, and an appendix has been crafted to further support the natural integration of the calculator in the text.
  • Chapter Projects, included in the Chapter Review Exercises at the end of each chapter, synthesize multiple concepts and teach problem-solving skills.
  • Every chapter ends with a Chapter Summary, Review Exercises, and a Chapter Test in order to review the Objectives presented in each chapter.
0. REVIEW.
Number Sense. Coordinate Systems. Solving Linear Equations and Inequalities. Inequalities, Line graphs and Intervals. Solving Systems of Equations. Quantity Rate Tables. Problem Solving.
1. LINEAR FUNCTIONS AND INEQUALITIES.
Functions. Functions Represented in Four Ways. Linear Functions. Modeling Linear Functions and Inequalities. Modeling Special Linear Functions and Inequalities. Solving Linear and Absolute Value Inequalities.
2. QUADRATIC AND POLYNOMIAL FUNCTIONS.
Quadratic Functions. Modeling Quadratic Functions. Polynomial Functions and Operations. Special Products and Completing the Square. Solving Quadratic Equations with Tables, Graphs, and Factors. The Roles of a, b, c, and Binomial Squares in Graphing Quadratic Functions.
3. SQUARE ROOTS; QUADRATIC EQUATIONS AND INEQUALITIES.
The Square Root Function and the Pythagorean Theorem. Solving Quadratic Equations with Square Roots. Solving Quadratic Equations with the Quadratic Formula. Solving Minimum and Maximum Problems. Complex Numbers and Solving Polynomial Equations. Shifts, Vertex Form, and Applications of Quadratic Functions. Solving Quadratic Inequalities.
4. VARIATION AND RATIONAL FUNCTIONS.
Ratios, Units of Measure, and Proportions. Direct Variation. Inverse Variation and Related Graphs. Simplification, Multiplication, and Division of Rational Expressions. Division of Polynomials and Related Graphs. Addition and Subtraction of Rational Expression. Solving Rational Equations.
5. EXPONENTS AND RADICALS.
Exponents and Their Properties. Scientific Notation. Rational Exponents. Roots and Rational Exponents. More Operations with Radicals. Solving Root and Power Equations.
6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Exponential Equations and Graphs. Finding Inverse Functions (from 7.6). Solving Exponential Equations: Logarithms. Applications of Exponential and Logarithmic Functions. Properties of Logarithms and the Logarithmic Scale. The Natural Number e in Exponential and Logarithmic Functions.
7. SYSTEMS OF THREE EQUATIONS AND NONLINEAR SYSTEMS.
Solving Systems of Three or More Equations. Conic Sections. Solving Systems of Nonlinear Equations. Solving Systems of Inequalities. Series and Sequences.
8. COUNTING AND PROBABILITY.
Introduction to Probability. The Addition and Multiplication Principles. More on the Addition and Multiplication Principles. Permutations and Combinations.
Final Exam Review.
WebAssign
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Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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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.

FOR INSTRUCTORS

Instructor's Resource Manual

ISBN: 9781133363835
This manual contains complete solutions to all the problems in the text.

Student Solutions Manual

ISBN: 9781133363972
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

Student Workbook

ISBN: 9781133365198
The Student Workbook contains all of the assessments, activities, and worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.

FOR STUDENTS

Student Solutions Manual

ISBN: 9781133363972

Student Workbook

ISBN: 9781133365198