數(shù)字和運算設(shè)置 A6：一個點許多點

KINDERGARTENSUPPLEMENT

SetA6Number&Operations:OneDot,ManyDotsCalendarPattern

Includes

OctoberCalendarPatternA6.1

Skills&Concepts

★comparesetsofobjectsanddeterminewhethertheyhavethesame,fewer,ormoreobjects

★useandunderstandthewordsone/many,none/some/all,more/less,most/least,equalto/morethan/lessthan

★describenumbersusing5asabenchmark

★describeandextendsimplegrowingandrepeatingpatterns★countandreadnumeralsto31

★identifyordinalpositionsthroughthe31st

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TheMATHLEARNINGCENTER

P201304

BridgesinMathematicsKindergartenSupplement

SetA6Number&Operations:OneDot,ManyDotsCalendarPattern

TheMathLearningCenter,POBox12929,Salem,Oregon97309.Tel.1800575–8130.

?2013byTheMathLearningCenterAllrightsreserved.

PreparedforpublicationonMacintoshDesktopPublishingsystem.PrintedintheUnitedStatesofAmerica.

P201304

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SetA6Number&Operations:OneDot,ManyDotsCalendarPattern

SetA6★OctoberCalendarPattern

dayTucsday\

2

—一

CALENDARGRID

OneDot,ManyDots

Overview

ThissetofCalendarGridmarkersreplacesthestudent-mademarkersinthemonthofOctober,andprovidesopportunitiesforkindergartnerstocountandcomparesetsto31.

Skills&Concepts

★comparesetsofobjectsanddeterminewhethertheyhavethesame,fewer,ormoreobjects

★useandunderstandthewordsone/many,none/some/all,more/less,most/least,equalto/morethan/lessthan

★describenumbersusing5asabenchmark

★describeandextendsimplegrowingandrepeatingpatterns

★countandreadnumeralsto31

You’llneed

★CalendarGridpocketchart

★Day,Month,andYearCalendarGridcards

★OneDot,ManyDotsCalendarMarkers(availableat

/calmarkers

)Print1copyofthe

calendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

★ComparisonWordResourceCards(pagesA6.7–A6.11,seeAdvancePreparation)

★2piecesoflinedchartpaper(seeAdvancePreparation)★redandblueUnifixcubes

★chartpaperorwhiteboardnearcalendardisplay★helperjarcontainingapopsiclestickforeachchild

withhis/hernameonit

AdvancePreparationRun1copyoftheComparison

WordResourceCardsonpaperorcardstock.Cutthe

cardsapartandlaminateifdesired.Postthe10cardsto

theleftofyourcalendargrid,orinapocketchartnear

thegridifyoudon’thaveroomonthewall.Finally,draw4columnsonbothsheetsoflinedchartpaper,asshownbelow.Addatitleandcolumnlabelstothefirstsheet,

andpostthesheetnexttoyourcalendargridpocket

chart.Keepthesecondsheetinreserveuntilthemiddleofthemonth,andthenattachittothefirstsoyoucan

continuetorecordobservationsthroughtheentiremonth.

OneDot,ManyDots

HowManyDots?

Red

Blue

Comparison

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.1

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternOctoberCalendarPattern(cont.)

BackgroundfortheTeacher:GrowingPatternsWhileweoftenintroducepatternsassequencescomposedofcoreunits(e.g.,AB,ABB,ABC,andsoon)thatrepeatoverandover,itisimportantforyounglearnersto

understandthatpatternscanalsobesequencesofshapesornumbersthatgrowinsomepredictableway.OneDot,ManyDotsisasimplegrowingpatternthatadds1dotperdaytoagrowingcollection.However,ifyouexaminethefirstfewmarkersinthesequence,youcanobserveavarietyofotherpatternsaswell.

October

Sunday

Monday

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Saturday

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Youmightnotice,forinstance,thatthereisanequalnumberofredandbluedotsoneveryeven–numbered

marker.Everyfourthmarker,startingwithMarker1,displaysdotsinonlyonecolor,andthecolorsalternate.Marker1showsonereddot.Marker5showsfivebluedots.Marker9showsninereddots,Marker13shows

thirteenbluedots,andsoon.Thenthereisthefactthatthedotsareloopedingroupsof5tomakethemeasiertocount.Asthemonthunfolds,studentsmightnoticethateveryfifthmarker,startingwithMarker5,anotherloopappears.Whilesomeofyourstudentsmaybenefitprimarilyfromthedailyopportuntiestocountand

comparesets,restassuredthatotherswilldiscoversomeofthepatternsmentionedhere,aswellasothers,espe-ciallyifyouarealerttothemanypossibilities.

IntroducingtheOneDot,ManyDotsCalendarGridPattern:Day1

OpenyourfirstNumberCornerlessoninOctoberbydirectingstudents’attentiontothecalendar

grid.ExplainthatyouwillputupanewcalendarmarkeraseachdayofOctoberpasses.Placethefirstmarkerinthecorrectpocket,andaskchildrentopair-shareobservations.Whatdotheynoticeaboutthismarker?Afterafewmoments,pullpopsiclesticksfromyourhelperjartocallonchildrentosharetheirobservationswiththeclass.

StudentsIt’satinylittlecircle.Red—littlereddot.

It’ssolittleIcanhardlyseeit!

Thenaskchildrentopredictwhattheymightseeonthemarkerforthefollowingday.

StudentsMaybeanotherdot!ItcouldbeablueorgreenoneOrmaybeasquarenotacircle.Ithinkitwillbetwodots!

A6.2?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternOctoberCalendarPattern(cont.)

TeacherWhydoyouthinkwemightseetwodotstomorrow,Hannah?

HannahBecausetodayisnumber1andthere’s1dot.Tomorrowwillbe2,somaybetherewillbe

2dots.

IntroducingtheOneDot,ManyDotsCalendarGridPattern:Day2

2

Thenextday,invitechildrentopredictwhatMarker2willshow,andthenplaceitondisplayinthecorrectpocket.Askchildrentopair-shareobservations,andthencallonafewvolunteerstosharewiththegroup.

StudentsItistwodots—Iwasright!

Oneofthemisred.Theotheroneisblue.

First1dot.Now2.Maybetherewillbe3tomorrow.Maybeanothercolor,too,likegreen.

many

some

equal

less

least

Next,drawchildren’sattentiontothewordcardsyouhavepostednearthecalendargrid.Explainthatthesearewordspeopleusewhentheycountandcomparesetsofobjects.Choose2or3ofthecardstoreadtothechildren.Asyoureadeach,challengethestudentstouseittodescribethemarkersyouhavepostedsofar.

one

none

all

more

most

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.3

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternOctoberCalendarPattern(cont.)

TeacherSothereareanequalnumberofredsandbluesonthismarker?JustinYes!Oneofredandoneofblue.

TeacherEqualisononeofourwordcards.Let’ssee—hereitis.

ContinuingthroughOctoberwiththeCalendarGrid

Thenextday,havechildrenpredictwhatMarker3willshow,andthenplaceitondisplayinthecor-rectpocket.Havestudentspair-shareobservations,andthencallonafewvolunteerstosharewiththegroup.Duringthediscussion,introduceacouplemorewordcards,andchallengechildrentoutilize

thesewordsintheirobservations.

3

Students3dotstoday,Iknewit!Therearemorereds.

Someareredandoneisblue.Allofthemareround.

Thendrawstudents’attentiontotherecordingchartyouhaveprepared.Workwithinputfromtheclasstoenterinformationaboutthefirst3markers.

OneDot,ManyDots

HowManyDots?

Red

Blue

Comparison

1

1

0

Thereisonly1reddot

2

1

1

Redandblueareequal.1=1

3

2

1

Therearemoreredsthanblues.2>1

Overthenextfewdays,introducetherestofthewordcardsandencouragechildrentousethemas

theymaketheirpredictionsandobservationsaboutthemarkers.Oncethemarkerforthedayhasbeenposted,havestudentscountthetotalnumberofdotsonthatmarker,andcomparethesetsofredsandbluesthatappear.Workwiththeirinputtorecordacomparisonstatement,alongwiththeotherinfor-mationaboutthedots,onthechart.

NoteStartingonthe4thor5thday,askavolunteertosetout1redorblueUnifixcubeforeachdotontheday’smarker,andthenlinkthecubesintostacksbycolor.Havetheotherstudentscountalongwithyourvolunteer,

andthenplacethestacksondisplayforalltosee.Thiswillmakeiteasierforstudentstoseeandcomparethequantities,andwillbecomeincreasinglyimportantasthenumberofdotsincreasesthroughthemonth.

A6.4?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternOctoberCalendarPattern(cont.)

StudentsIt’s3redsand3bluestoday!They’rethesamenumber.

Thecubescomeuptothesameplace.They’reequal!

Herearesomequestionsandpromptstousethroughoutthemonth:

?Howmanydotsarethereonthemarkertoday?Howmanyarered?Howmanyareblue?

?Aretheremoreblueormorereddots?Howdoyouknow?

?Howmanydotswillweseeontomorrow’smarker?Howdoyouknow?

?Doyouthinktherewillbemorereds,moreblues,oranequalnumberofeachcoloronournextmarker?Why?

?Arethereanymarkerswhereallofthedotsarethesamecolor?Whichones?Doyouthinktherewillbeothermarkerslikethatthismonth?Canyoupointtowhereyouthinkthenextonewillshowup?

Whydoyouthinkitwillbethere?

?Whichmarkerssofarhaveanequalnumberofredandbluedots?Doyouthinkwe’llseeanyothermarkerslikethatthismonth?Whichones?Howdoyouknow?

?Whichmarkersofarhasthemostbluedots?Theleastorfewestbluedots?Themostreddots?Theleastorfewestreddots?

Extensions

?Afterthefifthofthemonth,workwithchildrentocountthequantitiesofdotsby5sand1s,aswellas1by1eachday.

?Inadditiontorecordingacomparisonstatementforthemarkereachday,writeanequationtoreflecttheblues,thereds,andthetotal(e.g.,3+3=6).

?Itwon’tbelongbeforesomestudentsdiscoverthateveryothermarkerinthesequenceiscomposedofanequalnumberofredandbluedots.Whenthiscomesup,taketheopportunitytointroducetheideaofevennumbersasquantitieswhereeachmemberofthesethasapartner.

?EncouragechildrentouseredandblueUnifixcubestobuildtheirpredictionsaboutupcomingmark-ers.Predictiontrainscanbeplacednearthecalendargridandexaminedthefollowingdayasthe

nextmarkerisposted.

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.5

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternOctoberCalendarPattern(cont.)

NOTEBelowisarepresentationoftheOctobercalendargrid.Thefull-sizecalendarmarkersareavailableat

/calmarkers

.

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October

Sunday

Monday

Tuesday

Wednesday

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Saturday

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A6.6?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternBlacklineRun1copyoncardstock.Cutcardsapartandlaminateifdesired.

ComparisonWordResourceCardspage1of5

one

none

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.7

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternBlacklineRun1copyoncardstock.Cutcardsapartandlaminateifdesired.

ComparisonWordResourceCardspage2of5

all

more

A6.8?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternBlacklineRun1copyoncardstock.Cutcardsapartandlaminateifdesired.

ComparisonWordResourceCardspage3of5

most

many

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.9

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternBlacklineRun1copyoncardstock.Cutcardsapartandlaminateifdesired.

ComparisonWordResourceCardspage4of5

some

equal

A6.10?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

SetA6Number&Operations:OneDot,ManyDotsCalendarPatternBlacklineRun1copyoncardstock.Cutcardsapartandlaminateifdesired.

ComparisonWordResourceCardspage5of5

less

least

?TheMathLearningCenterBridgesinMathematicsKindergartenSupplement?A6.11

A6.12?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet1of16

2

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet2of16

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4

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet3of16

5

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet4of16

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SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet5of16

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet6of16

I2

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet7of16

I3

4

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

I5

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet8of16

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

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Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet9of16

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SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

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Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet10of16

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

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2

Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.Cutthecalendarmarkersapartandlaminateifdesired.

OctoberOneDot,ManyDotsCalendarMarkersSheet11of16

SetA6CalendarMarkers?BridgesinMathematicsKindergartenSupplement?TheMathLearningCenter

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Print1copyofthecalendarmarkersheetsincolor,single-sided,onwhitecardstock.