DOCUMENT RESUME ED 356 432 CE 063 552 AUTHOR Leidig, Julie; And Others TITLE The Competitive Edge: Sharpening Your Skills in the Workplace. Mathematics. Student Edition. INSTITUTION Texas Univ., Austin. Extension Instruction and Materials Center. SPONS AGENCY Office of Vocational and Adult Education (ED), Washington, DC. National Workplace Literacy Program. REPORT NO SN-150-S PUB DATE 93 NOTE 271p.; For related documents, see CE 063 548-551. AVAILABLE FROM Extension Instruction and Materials Center, P.O. Box 7218, University of Texas, Austin, TX 78713-7218 ,stock no. SN-150-S: $12; set of five, $52; 100 or more, 10% discount). PUB TYPE Guides Classroom Use Instructional Materials (For Learner) (051) EDRS PRICE MF01/PC11 Plus Postage. DESCRIPTORS Adult Basic Education; Basic Skills; Course Content; *Education Work Relationship; Learning Activities; Learning Modules; Lesson Plans; *Mathematics Instruction; *Remedial Mathematics; Teaching Methods IDENTIFIERS *Workplace Literacy A3STRACT This student edition of learning modules in refresher mathematics is one of the five books developed during a 21-month cooperative project to develop instructional materials that enhance skills in a workplace context. Partners in the project inclded the University of Texas at Austin, consultants, the Austin/Travis County Private Industry Council, Hart Graphics, IBM, and Texas Instruments. The guide contains two modules that cover the following topics for a suggested 20-week course in refresher mathematics: decimals, fractions, word problems, estimating and averages, ratios and proportions, percents, standard measurement, signed numbers, algebraic equations and inequalities, solving for unknowns, working with formulas, and graphing ordered pairs. The modules are divided into a total of 23 lesscns that use a functional workplace context, discovered through observing how workers use skills, conducting job task analyses, and interviewing workers, supervisors, and training managers. Lessons in this student edition contain some or all the following elements of a lesson plan: learning objective; introduction; vocabulary; practice problems; developing understanding; skill building problems, activities, and exercises; self-check; reviews; and answer keys. (KC) *********************************************************************** Reproductions supplied by EDRS are the best that can be made from the rriginal document. *********************************************************************** ,,,----- U.S. DEPARTMENT Of EDUCATION Office of Educational Research and improvement EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) ma document his been /produced received from the as person or organizaIlon originating a 0 Minor changes nay* been made to improye reproduction quality Points of view or Op mons stated in this mint do not necemanly doc u- represent othc.st OERI position or policy STUDENT EDITION g -.0 0 14_ \J T MT PiltiV WM ML 41 Edge: The Competitive Skills Sharpening Your in the Workplace MATHEMATICS Student Edition DI Julie Leidig Sally McCarty Holly O'Rear Mary Hartzell Coordinated by Elaine Shelton Published by The University of Texas at Austin Educational Resources Center Extension Instruction and Materials Division of Continuing Education 1993 i © 1993 by The University of Texas at Austin All rights reserved. Published 1993 Printed in the United States of America Brand names, company names, trademarks, or other identifying symbols appearing in the illustrations arid/or text are used to clarify and identify and do not constitute a recommendation or endorsement by the authors or the publisher. The contents of this book were developed under a grant from the Department of Education. However, those contents do not necessarily represent the policy of the Department of Education, and you should not assume endorsement by the Federal Government. Editor / Barbara Sutherland Artists / Elinor Gamache and Debra Dionisio Publishing Technician / Kathryn N. Roberts Production Assistant / Debbie Haiji Production Coordinator / Barbara Sutherland Additional copies may be ordered from: THE UNIVERSITY OF TEXAS AT AUSTIN Educational Resources Extension Instruction and Materials Center P.O. Box 7218 Austin, TX 78713-7218 512-471-7716 or 1-800-252-3461 (within Texas) FAX 512-471-7853 Stock Number SN 150 S Contents v Acknowledgments MODULE 1: Refresher Math (Part 1) Decimals Lesson 1.1: Adding and Subtracting 1 9 Lesson 1.2: Multiplying Decimals 15 Lesson 1.3: Dividing with Decimals Subtracting, and Reducing Lesson 1.4: Using Fractions: Adding, 21 to Lowest Terms 29 Lesson 1.5: Finding Common Denominators 39 Lr.ssoik 1.6: Multiplying and Dividing Fractions 47 Lesson 1.7: Fractions and Decimals MODULE 2: Refresher Math (Part 2) 53 Lesson 2.1: Solving Word Problems 65 Lesson 2.2: Estimating and Averaging 75 Lesson 2.3: Working with Ratios 87 Lesson 2.4: Working with Proportions 97 Percents Lesson 2.5: Converting Fractions and Decimals into 105 Lesson 2.6: Solving Percent Problems 113 REVIEW # I 119 Lesson 2.7: Standard Measurement (Part 1) 133 Lesson 2.8: Standard Measurement (Part 2) 143 Lesson 2.9: Metric Measurement 155 Lesson 2.10: Adding and Subtracting Signed Numbers 165 Lesson 2.11: Multiplying and Dividing Signed Numbers 171 REVIEW #2 iii Lesson 2.12: Algebraic Equations and Inequalities 177 Lesson 2.13: Addition and Subtraction, Solving for an Unknown 193 Lesson 2.14: Multiplication and Division. Solving for an Unknown 201 Lesson 2.15: Working with Formulas 213 Lesson 2.16: Graphing Ordered Pairs 223 REVIEW #3 239 Answer Key 243 iv 10 6 Acknowledgments Workplace is the final Sharpening Your Skills in the The Competitive Edge: the U.S. Workplace Education grant from product of a 21-month National Center at Extension Instruction and Materials Department of Education to the the cooperation with its business partner, The University of Texas at Austin, in The project, titled Skills Industry Council. Austin/Travis County Private first was to develop main objectives. The Building for Tomorrow, had two The second skills in a workplace context. instructional materials that enhance yearlong materials while providing a objective was to field-test these IBM, and in Austin: Hart Graphics, instructional program at three companies worked with the 21 months of this project, we Texas Instruments. During the valuable gratefully acknowledge for their following individuals whom we endeavor. contributions to the success of this Materials Austin, Extension Instruction and The University of Texas at Project Skills Building for Tomorrow Center, Educational Resources, Center Extension Instruction and Materials Dr. Kathryn Allen, Director, Educational Resources Dr. Barbara Selke-Kern, Director, Building for Tomorrow Project (SBT) Elaine Shelton, Director, Skills Coordinator/Curriculum Developer/Assistant Julie Leidig, SBT Instructor Editor Developer Sally McCarty, SBT Instructor/Curriculum Developer Holly O'Rear, SBT Instructor/Curiculum Developer Mary Hartzell, SBT Instructor/Curriculum Customer Service Cathy Crandall, Coordinator of Consultants Consultant Sue Lagerquist, Instructional Consultant Kurt von Quintus, Technical Council Austin/Travis County Private Industry Bill Demestihas, Executive Director Olivia Machuca Kevin Duffy Hart Graphics Larry Maynard Charles Ferraro Mary Astor Emilio Mendez Sandra Fisher Lola Barkley Jamie Millard Gregory Galloway Cheryl Bingham Albird Mindieta Jim Gipson Orlando Boleda Rosie Molina Donna Harris David Camp T. J. Morris David Hart Donald Castilleja Edwin Muniz Joe Hernandez Daniel Castillo Paul Noel Everett Holbrook Domisco Castillo Brian Oetzel Robert Kirby Peggy Coker Dan Pogue Robert Luna Shakir Doctor Patrick Randolph Dario Solis Daniel Walker Dois Ripley Sue Syphers Dennis Weisser Tom Savage Scott Thomas Sandra Washington David Schoen James Waddington IBM Margaret Guerrero Larry Charles Ockletree, Melinda Acevedo Ray Gutierrez Sr. Bertha 0. Alvarez Davis Hallmark Rollie L. Olson Jesse Ancira Deon Hector Rance F. Parrott Joyce Arnold Aaron A. Hendricks Susan Patnaude A. C. Berry Lydia G. Hinojosa Barbara Perez Bill Black Pete Holmes Yolanda Perez Sandy Boccio Vera Houston Betty Perry Karl Borman Lynda Howard Pat Ramirez Bob Borron Tommy Iv arra, Jr. Virginia Reyes Linda E. Brooks Shirley M. !Jackson Josie R. Rodriguez Ronnie D. Cain David Johnson Virginia Ross Patrick J. Camacho Helena Jones Andrea Michelle Ryan Ted Carillo David LaFuente Greg Sharp Mack Carmona Patsy E. Lewis Tony Skubiata Rosa Castro Alex Lopez, Jr. Michael K. Steedley Sandra Clark Delores Martinez Gayland Thorn Robert R. Cornejo Victor Martinez Joe G. Valdez Robert Ebert Wendell McBride Alfred Vasquez M. Louise Felps Judy McCaffery Mack Wilson Dennis Ferguson Irene Mendez Wanda Wood Joe Fiol Ralph Mendoza Wally Young Jennifer Garcia Jerry Miller Sam Zigrossi Tommy Green Texas Instruments Mike Cuellar Frank Gonzales Tim Andrews Glen Davis Gloria Grant Linda Anguiano Mel Day Diana Griffith Gaye Arnold Cheri Deba Bob Halper Juanita Becker Frank De La Rosa Marty Herrin Don Block Gwen Delaune George Hendrix Barbara Bloom Thereatha Donnell Albert Hernandez Berneice Bonnet VirgLiia Dujka Willie Ingle Jake Boyd Mike Duncan Gerald Johnson Greg Briceno Kelly Eastham Nora Johnson Bill Caley Leland Eaves Nancy Jokovich Fran Carpenter Maria Estrada Nancy Jones Tony Collins Carolyn Erwin Dee Karunasena Roberta Cook Carolyn Ewing Don Karunasena Angie Cosier Teresa Fenrich Eddie Lebriton Gilbert Costilla Paul Fonseca Elvia Lopez Gary Costons Linda Geesling Jesse Lozoria Joe Salazar Geraldine Pool Fran Martin Somboun Siriboury Jackie Pool Andy Martinez Howard Swathwood Matt Priestley Rick Masse link Rungston Titapas Erma Pruneda Steve Melchor Warida Trejo Jo Redding Brad Mertz Pat Watson Alice Reemsnyder Gloria Moon Freddie West Sharon Ricker Dave Morris Bob Wright Debbie Rivers Isabel Murrieta Sook Yoo Minnie Rodriguez Alwin Neidig Howard Rogers Lucy Nixon 7) (Port -44101:411 NOP 4 b`k '41 1