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DOCUMENT RESUMESE 062 482ED 430 781TITLEMATHCOUNTS School Handbook: Math Is Not a Spectator Sport,98- 99INSTITUTIONPUB DATENOTEAVAILABLE FROMPUB TYPEEDRS PRICEDESCRIPTORSMATHCOUNTS Foundation, Alexandria, VA.1998-00-00133p.MATHCOUNTS Foundation, 1420 King Street, Alexandria, VA22314-2794; Tel: 703-684-2828; e-mail: mathcounts@nspe.org;Web site: http://mathcounts.orgClassroom - Teacher (052)GuidesMF01/PC06 Plus Postage.Competition; *Creative Thinking; *Investigations; JuniorHigh Schools; *Mathematics Activities; *MathematicsEducationABSTRACTMATHCOUNTS is a national coaching and competition programdesigned to stimulate 7th- and 8th-grade students' interest and achievementin mathematics. Teachers and volunteers coach students beginning each falland continuing throughout the year. Participating schools can selectindividuals or four-person teams to compete in on-site competitions. Studentsincompete in local meets in February, winners progress to state contestscoachatthestatecompetitionMarch, and the top four scorers and toprepresent their state at the national finals in May. Each year the MATHCOUNTSquestion writing committee selects and announces a special topic designed tostimulate student interest in mathematics. The special topic for the 1998-99MATHCOUNTS program is Investigation and Exploration. This book providesdetailed information about the competition, activities, and suggestedworkouts that can be completed in the coaching program. Contains 21references. ***********************************Reproductions supplied by EDRS are the best that can be madefrom the original ***************************************

IaAtIL0IO I II1S.-PERMISSION TO REPRODUCE ANDDISSEMINATE THIS MATERIAL HASBEEN GRANTED BY14TO THE EDUCATIONAL RESOURCESINFORMATION CENTER (ERIC)1U S DEPARTMENT OF EDUCATIONOffice of Educational Research and ImprovementEDUCATIONAL RESOURCES INFORMATIONmu: mi 11.Ism\61ThCENTER (ERIC)is document has been reproduced asreceived from the person or organizationoriginating aCI Minor changes have been made toimprove reproduction qualityINAPoints of view or opinions stated in thisdocument do not necessarily representofficial OERI position or policy1mi %NIMIir.I-1IO.S.aII'IISsIISII11O b.BESI.I- I2VAILABLE

1998-1999MATHCOUNTSSCHOOLHANDBOOKIn order to developa technically literate populationand to improve quality of life,the national MATHCOUNTScoaching and competition programpromotes math interest and achievementamong intermediate school students. 1998 MATHCOUNTS Foundation, Alexandria, VAUnauthorized reproduction of the contents of this publication is a violation of applicable laws.3

MATHCOUNTS Critical Dates0 IMMEDIATELYFor easy reference, write your chapter coordinator's address and phonenumber here. If you do not know who your chapter coordinator is, contactyour state coordinator (see page 4).CI SEPTEMBERIf you are ordering coaching and/or novelty items, send the correct formwith payment or purchase order to the address below. Please allow3-4 weeks for delivery.Sports Awards4351 N. Milwaukee AvenueChicago, IL 60641Questions? Call toll-free 800-621-5830 or 773-282-8060 within Illinois.0 OCTOBER 30Have you sent your school's registration invoice along with check, moneyorder or purchase order? Don't delay! Deadline is in two weeks! Send to:MATHCOUNTS RegistrationP.O. Box 441Annapolis Junction, MD 20701Questions? Call 301-498-6141 or e-mail: math@pmds.comOr confirm your registration on-line at http://mathcounts.org0REGISTRATION DEADLINE:NOVEMBER 13Your school competition will be mailed in early December, if yourregistration form is received by November 13.0JANUARY 8LATE REGISTRATION:Your school competition will be mailed in late January, if your registrationform is received between November 14 and January 8.0AFTERJANUARY 8RESTRICTED LOCAL REGISTRATION:Local registration is at the discretion of chapter coordinators. Contact yourchapter coordinator or state coordinator (see pg. 4) as soon as possible todetermine local registration policy. Registration forms received afterJanuary 8 will be returned.0MID-JANUARYIf you have not been contacted by your chapter coordinator withcompetition details, call your chapter or state coordinator!Call the MATHCOUNTS Registration Office (301-498-6141) withquestions regarding the school competition.000FEBRUARY 6-28Chapter CompetitionsMARCH 6-28State CompetitionsMAY 13-16National Competition in Washington, DC4BEST COPY AVAILABLE

MT"COUNTSCa.-uuMc NI AT EMIA IgooleAraul/s/5-Year MATHCOUNTSCompetition Set:1994 through 19985-Year Competition Solution Sets5-Year Competition SetsHelp for teaching the more complex MATHCOUNTSproblems! These specially-priced five-year sets includecomplete solutions to target and team round problems fromchapter, state and national MATHCOUNTS competitions.Provided in a MATHCOUNTS binder. (Statements of problemsnot included.)Ideal for coaching sessions or as supplemental material inthe classroom. These specially-priced five-year sets includecomplete instructions, problems and answer keys to MATHCOUNTS chapter, state and national competitions. Three-holepunched in a MATHCOUNTS binder for easy storage.MCS89-93 5-year set covering years 1989-93 - 59795- 49.95MCS84-88 5-year set covering years 1984-88 34.95(while supplies last)5-year set covering 1994-985-year set covering 1989-935-year set covering 1984-88 59.95 44.95 29.951997-98 Competition SetIndividual Year Solution SetComplete instructions, problems and answer keys to last year'sMATHCOUNTS chapter, state and national competitions.Conveniently three-hole punched.Solutions to target and team round problems from chapter,state and national MATHCOUNTS competitions. Convenientlythree-hole punched. (Statements of problems not included.)MCS93 1992-93 Individual Solution SetMC94-98MC89-93MC84-88MCC-981997-98 Competition Set 18.95 9.95Warm-ups and WorkoutsSOILUTIONSDon't tear apart your School Handbook! Get the latestSchool Handbook problems specially formatted for student use.Saves time at the copier and gives mathletes an opportunity towork at their own pace. Also a great way to fill your MATHCOUNTS library if you're missing past years' handbooks.Answers to all problems included in a separate section that canbe easily removed. Three-hole punched.MCWW98-99 1998-99 Warm-ups and Workouts 7.50MCWW97-981997-98 Warm-ups and Workouts 7.00MCWW96-97 1996-97 Warm-ups and Workouts 6.50MCWW95-96 1995-96 Warm-ups and Workouts 6.00MCWW94-95 1994-95 Warm-ups and Workouts 5.50MCWW93-94 1993-94 Warm-ups and Workouts 5.00MCWW94-98 5-year set (1994-1998) in binder 24.95School Handbook SolutionsProblem of the WeekA real time-saver for any busy coach! Complete solutions toapproximately 200 of the most complex and intriguing problemsfrom the past three year's MATHCOUNTS School Handbook.Problem statements are included with each solution.BIG savings when you purchase multiple years!MCS98MCS97MCS961997-98 School Handbook Solutions1996-97 School Handbook Solutions1995-96 School Handbook SolutionsMCS98AMCS98B 24.95Solutions: 1997-98 and 1996-97Solutions: 1997-98, 1996-97, 1995-96 34.95Lyle Fisher and William Medigovich, grades 7-12.90 reproducible problem worksheets to develop skills in probability,logical reasoning, combinatorics, number theory and more.MCCR Problem of the Week 18.50Super Problems 15.95 13.95 11.95Lyle Fisher, grades 7-9.Provocative problems designed especially for junior high students.Includes primes, triangular numbers and more.MCBR Super Problems5 15.50BEST COPY AVAILABLE

Texas Instruments MATHCOUNTS VideoCalculatorsFeature slide-on hard shell with MATHCOUNTS logo and quick reference card.Math Explorer PlusThe first calculator to combine powerfulfraction capability with a full range of scientific functions. It offersbuilt-in fraction algorithm and integer division.MCTIE Explorer Plus Calculator 19.95Hear coaches and mathletes describethe benefits of MATHCOUNTS in thisfast-paced video. Includes scenes fromcoaching sessions and the NationalCompetition. A great overview ofMATHCOUNTS to show at coachingsessions, PTA meetings, open houses and teacher gatherings.13 minutes.MCAMATHCOUNTS Video 24.95Volunteer for the Future Video11-34 - A calculator to grow on! For junior and senior high use,the TI-34 performs one-variable statistics and allows students tocheck intermediate steps in statistical computations.Motivate parents, frierlds and professionals to join in theMATHCOUNTS funl Individuals and organizations explain whyand how they are involved in the program. Ideal for recruitingvolunteers to strengthen school coaching programs. 9 minutes.MCTI34 TI-34 CalculatorMCB 19.95 19.95Volunteer VideoAAPLEASE PRINT OR TYPEPrices are good through July 1999.SCHOOLSend completed order form along with purchaseorder, check or money order to:TEACHER'S NAMESPORTS AWARDS COIVIPANY4351 N. MILWAUKEE AVE.CHICAGO, IL 60641ADDRESSCITYSTATETELEPHONE (In Illinois: 773-282-8060FAX 773-282-3019Outside Illinois call:ZIP11-sca-521-5essFAX (Item #DescriptionEachMC94-985-yr Competition Set (1994-98) 59.95TotalQty.SHIPPING CHARGESPlease add the following charges for freight, handling andinsurance, for UPS ground service within the continental U.S.:MC89-935-yr Competition Set (1989-93) 44.95MC84-885-yr Competition Set (1984-88) 29.95MCC981997-98 Competition Set 18.95MCS89-935-yr Solution Set (1989-93) 49.95MCS84-885-yr Solution Set (1984-88) 34.95MCS931992-93 Individual Solution Set 9.95MCWW98-991998-99 Warm-ups and Workouts 7.50MCWW97-981997-98 Warm-ups and Workouts 7.00MCWW96-971996-97 Warm-ups and Workouts 6.50FORMS OF PAYMENTMCWW95-961995-96 Warm-ups and Workouts 6.000 Check made payable to Sports Awards Company.MCWW94-951994-95 Warm-ups and Workouts 5.50ID Money order payable to Sports Awards Company.MCWW93-941993-94 Warm-Ups and Workouts 5.00MCWW94-985-yr Warm-ups and Workouts set (1984-98) 29.95MCS981997-98 School Handbook Solutions 15.950 VISA 0 MasterCardMCS971996-97 School Handbook Solutions 13.95Card #MCS961995-96 School Handbook Solutions 11.95Expiration DateMCS98ASolutions: 1997-98 and 1996-97 24.95Card Owner's Signature requiredMCS98BSolutions: 1997-98, 1996-97, 1995-96 34.95MCCRProblem of the Week 18.50MCBRSuper Problems 15.50Order TotalMCTIETexas Instruments Math Explorer Plus 19.95Shipping & Handling MCTI-34Texas Instruments@ TI-34 Calculator 19.95MCAMATHCOUNTS Video 24.95MCBVolunteer for the Future Video 19.950 To avoid duplicating your order, check here if you are faxing and mailinBEST COPY AVMLABLEORDER TOTALFREIGHT CHARGE 00.00 99.99 100.00 199.99 200.00 349.99 350.00 - 999.99 1000.00 & up 6.10 9.00 12.00Add 6% of total orderFreight charges will be addedat time of shipmentAlaska, Hawaii, APO, FPO, and all foreign order freightcharges will be determined and billed at time of shipment.Air freight service available on request at higher rates.0 School purchase order #include p.o. with order0 Credit Card ( 25 minimum order, please):GRAND TOTALII IPur order form.

TABLE OF CONTENTSAcknowledgements2MATHCOUNTS MissionPrefaceMATHCOUNTS InformationBuilding a MATHCOUNTS ProgramMATHCOUNTS Competition RulesRegistrationParticipantsCompetition Levels33457778School CompetitionChapter CompetitionState CompetitionNational CompetitionCompetition Components10Countdown Round ProceduresAdditional RulesForms of AnswersScoringAwardsCompetition Questions1212141414Special Topic: Investigation & ExplorationProblem SolvingReferencesTeacher's SyllabusVocabulary and FormulasExtended ActivitiesActivity 1: Eat Right!Activity 2: Leavin' on a Jet PlaneStretchesWarm-Ups and WorkoutsSolutionsProblem Index161930313234353840451011287

AcknowledgementsMATHCOUNTS QUESTION WRITING COMMITTEEThanks to the writers for creating the 1998-99 MATHCOUNTS coaching materials and competitions:Judith A. White, Parker Middle School, Chelmsford, MA, ChairRon Elgin, Red River High School, Grand Forks, NDCarol Findell, Boston University, Boston, MAJulie Fisher, The Ann Arbor Hands-On Museum, Ann Arbor, MIWilliam D. Leschensky, formerly of College of DuPage, Custer, SDHoward Selbst, Horizon Middle School, Aurora, CORachel Newman-Turner, Baltimore School for the Arts, Baltimore, MDMATHCOUNTS NATIONAL JUDGESThanks to the judges for reviewing competition materials and for developing Masters Round questions:Monica M. Neagoy, Georgetown University, Washington, DC, Head JudgeLinda Agreen, Queen Anne High School, Centreville, MDRichard P. Case, Computer Consultant, Greenwich, CTFlavia Colonna, George Mason University, Fairfax, VAKlaus Fischer, George Mason University, Fairfax, VAJohn C. Kim, TRW Corporation, Fairfax, VACarter Lyons, James Madison University, Harrisonburg, VAREVIEWERSThanks to the following individuals for their review of competition and handbook materials:Adam Rasmussen, Arlington, VAKatherine Avila, Tewksbury, MAMichael Ripski, Hendersonville, TNMady Bauer, Bethel Park, PANoah Rosenberg, Chicago, ILDaniel Cory (NAT84,85), Redmond, WAHelga Schaffrin (STE91), Notre Dame, INNeil Crowell (STE94), York, PADave Sundin (STE84), San Carlos, CAThomas DeMartini (NAT93), Reno, NVJean Taylor, Wilmington, NCEliot Drake (STE93, NAT94), Reno, NVBen Tu (NAT90), Cambridge, MAEdward Early (STE92),Craig Volden (NAT84), Chicago, ILNancy English, Glendale, MORob Volden, Lakewood, COBarry Friedman (NAT86), London, EnglandTom Volden, Arden Hills, MNMaya Gupta (NAT90), Houston, TXDeborah Wells, State College, PABonnie Hayman, St. Louis, MORebecca Weiss (STE90,91), Cambridge, MAJane Lataille, Hartford, CTYiming Yao (STE96), Renton, WAArtie McDonald (STE88), Orlando, FLJimmy Yu,Vermillion, SDDharmesh Mehta (NAT92), Parkland, FLSammy Yu (STE93), Vermillion, SDDavid Nations (NAT84), Gainesville, FLAdditional AcknowledgementsThanks to the F.L.I.P. authors whose problems were chosen for inclusion in the School Handbook (seepage 45 for details on the F.L.I.P. contest): Debbie Berg (STE98), Perry, GA; Stanley Levinson,Lynchburg, VA; David Presberry, Rockford, IL; David Reid, Tea, SD; Chris Smallwood (STE97),Leavenworth, WA; Diane Spresser, Arlington, VA; and Todd Stohs (NAT96), Lincoln, NE.Special thanks to NASA for providing the Leavin' on a Jet Plane activity and to the Department ofTransportation for contributing to the Making Connections sections.Thanks to the six graduate students from Boston University who authored the solutions: Debra Bieler,Christopher Butler, Heather Enos, Kelly Hagan, Dagmar Lebron, Leah Tortola and Gisele Zangari.Typesetting: Typesetting software for this handbook provided by EducAide Software, Vallejo, CAEditor: G. Patrick Vennebush, Alexandria, VA2

This handbook was designed for use by participating schools, teams and coaches. It is also intendedfor use by chapter and state coordinators since some information contained in this handbook is notduplicated in the Chapter & State Coordinators Handbook.Coaches and coordinators should pay special attention to the following new information andprogram changes described in this handbook:Competition registration deadlines, page 7School registration fee, page 7Chapter and State competition dates, page 9Extended activities, pages 34-39Stretches, pages 40-44Warm-Ups and Workouts, pages 45-99Solutions, pages 101-126Problem Index, page 128MATHCOUNTS MissionThe mission of MATHCOUNTS is to increase interest and involvement in mathematics among allintermediate school students in order to assist in developing a technically literate population essential toUS global competitiveness and the quality of life.PrefaceMATHCOUNTS is a national coaching and competition program designed to stimulate 7th- and8th-grade students' interest and achievement in mathematics. Teachers and volunteers coach studentmathletes beginning each fall and continuing through the year. Participating schools can select fourstudents to compete as teams and individuals in on-site competitions. Students compete in local meets inFebruary. Winners progress to state contests in March. The top four scorers and top coach at the statecompetition represent their state at the national finals in May.At the national level, MATHCOUNTS is sponsored by:CNANational Society of Professional Engineers (NSPE)General Motors Foundation (GM)Phillips Petroleum CompanyThe Dow Chemical Company FoundationTexas Instruments Incorporated (TI)3M FoundationNational Council of Teachers of Mathematics (NCTM)National Aeronautics and Space Administration (NASA)The national MATHCOUNTS program also receives contributions from the following corporations:Ford Motor Company FundAlcoa FoundationGEICOAlliedSignal Inc.GTE FoundationAmerican Association of UniversityWomen Educational FoundationLockheed MartinANR PipelineMobilChampion International CorporationNorthrop Grumman CorporationExxon Educational FoundationRockwellFluor DanielTRW FoundationThe National Association of Secondary School Principals has placed this program on the NASSPAdvisory List of National Contests and Activities for 1998-99.3

MATHCOUNTS InformationQuestions concerning competition registration? Contact your chapter coordinator, state coordinator (listed below) orthe MATHCOUNTS Registration Office at:MATHCOUNTS RegistrationP.O. Box 441Annapolis Junction, MD 20701Phone: (301) 498-6141E-mail: math@pmds.comTo confirm your school's registration, check MATHCOUNTS's on-line registration information athttp://mathcounts.org/registration/schools. Other questions regarding the MATHCOUNTS program should beaddressed to:MATHCOUNTS Foundation1420 King StreetAlexandria, VA 22314Phone: (703) 684-2828E-mail: mathcounts@nspe.orgOr, reference the MATHCOUNTS homepage on the World Wide Web at http://mathcounts.org/.1998-99 State Coordinators(*Note: DD Defense Department; MP Northem Mariana Islands; SS State KYLAMAMDMEMP*MIMNMOJ.C. VanceClark MilneWinchester FableJohn Svechovsky, P.E.Scott VorheesJennifer Vrynios, P.E.Paul BradyKay NissenRodney AlexanderPhilip Brach, P.E.Win BoltonTammy Banks, P.E.Elizabeth Gayle, P.E.Rowena BlaisdellWayne AlbrightChuck StockusEarl Allison, P.E.Jo Ann RankinBenjamin Jackson, P.E.Connie DavisBrenda GajanDaniel O'Brien, P.E.Joel Oppenheimer, P.E.Douglas Riley, P.E.Paul Baron, P.E.Robert CurtisJohn Helmers, P.E.Beth 7814313-592-5316507-533-9348314-821-9016Eric Brockman, P.E.Paul DruyvesteinMark Worth, P.E.Terry Ragan, P.E.James Bartunek, P.E.Lee Carroll, P.E.Patricia BrewerPat ConleyDonald Aulenbach, Ph.D., P.E.Gus Cederberg, P.E.Tina Sutermeister, P.E.Noel LongRoger Kuhlrnan, P.E.Gary Kraft, P.E.Efrain Echandi, P.E.Paul BannonJames McKinney. P.E.Michelle Burke, E.I.T.Richard IselinPete DicksonVictoria CorcoranBruce Hutchinson, P.E.Susan Shaw, P.E.Prof. Jean-Guy Beliveau, P.E.Doug ComyersNorm Arendt, P.E.Shannon SmithDr. Sally Steadman, or your coordinator's e-mail address, reference the back of the competition registration form, or visit the Programarea of the MATHCOUNTS web site at http://mathcounts.org/Program/coord.html.4o

Building a MATHCOUNTS ProgramRECRUITING MATHLETESIdeally the materials in this handbook will be incorporated into the regular classroom curriculum sothat all students are exposed to problem-solving techniques and develop critical think

Help for teaching the more complex MATHCOUNTS problems! These specially-priced five-year sets include complete solutions to target and team round problems from chapter, state and national MATHCOUNTS competitions. Provided in a MATHCOUNTS binder. (Statements of problems not included.) MCS89-93 5-year set covering years 1989-93 - 59795- 49.95

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