©TheEducationalCompanyofIreland
Mia JayLexiDaraMonty Mia JayLexiDaraMonty©TheEducationalCompanyofIreland
Firstpublished2024
TheEducationalCompanyofIreland
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www.edco.ie
AmemberoftheSmurfit KappaGroupplc
©TheEducationalCompanyofIreland
©ClaireCorroon,2024
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ISBN978-1-80230-129-8
Designandlayout:DesignImage
Illustrations:AdriennSchönberg,JudyBrown
Editor:DonnaGarvin
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Introduction
The MathsandMePupil’sBook consolidateslearning by bringingthePrimaryMathsCurriculum(2023) tolifethroughengaging,playfulandinteractiveactivities.Itlinksmathstodailylifethrough real-life pictures,problemsandtasks,sochildrenwillappreciatethe relevanceandsignificanceofmathsintheir everydayexperiences.
The relatable MathsandMe characters,Lexi,Dara,Mia,JayandMontytheDoghelpchildrento understandthat we areallmathematicians,andmodelapositivedispositiontomaths.
Pupil’sBookFeatures
Colourcoding – Pagesarecolour-codedso youcanseewhatthemainstrandisataglance:
–Number
–Measures
©TheEducationalCompanyofIreland
Let’splay!
Red
–Shapeandspace
Let’stalk!
Let’sinvestigate!
Mathseyes
Trythis!
PCM 1
–Dataandchance
–Algebra
Let’splay! –Incorporatesplayfulnessintomathsthroughengaginggamesand interactiveactivities,makingmathsafunandenjoyableadventure forchildren.
Let’stalk! –Providesopportunities forchildrentosharetheirstrategies andideas,helpingthemto reflectontheircurrentknowledgeandidentify emergingconcepts.
Let’sinvestigate! –Encourageschildrentodevelopcreativestrategies throughactiveparticipationandexploration.
Mathseyes –Encourageschildrentolookaroundthemand recognisemaths inthe real world.
Trythis! –Providesoptional,cognitivelychallengingtasksthatofferan enrichinglearningopportunity forchildren.
Self-assessment –Giveschildrenanopportunityto reflectontheir workand colourinuptothreestarsattheendofeachpage,dependingonhowthey felttheyperformedonacertaintask.
Additionalresourceicons –Indicatesifaphotocopiableisneededto completeanactivity.
Digitalresources –Allowseasyaccess forteachersusingtheebooktothe extensivemenuofinteractive resourcesprovided foreachunit.
Clearsignposting –Allowseasynavigationacrosstheprogrammethrough directcorrelationoftheLessonTitleandthe footerinformationtothe Teacher’s PlanningBookandthedigital resources.
Let’sinvestigate!
Howmany?
Choosearesourcetocount.
Drawoneof what youarecounting.
Makeanestimate thatistoobig.
Makeanestimate thatistoosmall.
Ma
Trythis!
Completethetable.
Eachrowusesthesamewayto showdifferentnumbers.
Completethetable.Eachrowusesthesameway.
1. sixty-four 2. forty-one 3. eighteen 4. seventy
Matchtheplacevaluearrowcards.
Matchthepicturesandwords.
Howmany?
ComparingandOrderingNumbers
Ringthegreaterineachsetif possible.Put<,>or=inthecircle.
1. < 2.
3. 4.
5. 6.
Ringthegreaterineachsetif possible.Put<,>or=inthecircle. 1.
Doyouneed toadd?
5. 60+14 64 6. 43+12 55
Fillinanumbertomakethesetrue.
1. 6isgreaterthan . 2. 9islessthan .
3. isgreaterthan59. 4. islessthan80.
Trythis!
1. Usetwodigitseachtimetomake:
(a) thegreatestnumber
(b) thesmallestnumber
(c) twoothernumbers
2. Orderyournumbers. smallest greatest
3. Pickfourotherdigitsandwritethemonyourmini-whiteboard. Repeattheactivityabovewiththenewdigits.
EstimatingNumbers
Writethetenthatisbeforeand afterthesenumbers.Ringtheten towhichthenumberrounds (usuallythenearestten).
Howdoweusually roundanumberinthe middleoftwotens?
Trythis! WhatnumbermightIbe?
1. Ihave6tens.Iroundto70.
Ithinkthere ismorethan onecorrect answerto someofthese.
NumberHunts
Mathseyes Schoolnumberhunt
1. Walk aroundtheschool.Findtwo-digitnumbers. Writethemandshowthemasasketch.
(a) (b) (c)
0100 ©TheEducationalCompanyofIreland
(d) (e) (f)
2. Showwhereeachnumbersitsonthenumberline.
3. Roundeachof thenumberstothenearestten.
(a) ➜ (b) ➜ (c) ➜
(d) ➜ (e) ➜ (f) ➜
Lookforacar!
1. Writethereg.platenumber:
2. Usetwoof thedigitseachtimetomake…
(a) thegreatestnumber
(b) thesmallestnumber
(c) twoothernumbers
3. Orderthe fournumbersabove. smallest greatest
Let’stalk!
Look atDara. Whatdoyouthink?
Explainwhy.
Trythis!
Ithinkmorenumber sentencescanbewritten inthefactfamilyin question3.
Ithinkyoucanwrite 17=6+11, and6=17–11
TurnaroundandInverse
1. Writetwoadditionturnaround facts foreachof these.
(a) (b) (c)
2. Now,writetheopposite(inverse)subtractionsentences. (a) (b) (c)
Let’sinvestigate!
Inpairs,usea and .Trytomodelthesenumbersentences towork outif theyarecorrectornot. 3 or ✗ eachbox.
1. 8+ 4 = 4 +8
3. 9+2=2+9
10.
Trythis! Inthisbarmodel,thewholenumberis greaterthan11,butlessthan17.
Whole=?
4 Part=?
1. Whatmightthewholenumberbe?Listthepossiblenumbers.
2. Whatmightthemissingpartbe?Listthepossiblenumbers.
3. Look atthe sizeof thebars.Whatarethemostlikelymissingnumbers?
©TheEducationalCompanyofIreland
Doubles,NearDoublesandIn-betweenDoubles
1. Drawaringaroundthedoubles.Solvethem.
(a) (b) (c) (d) (e) (f)
2. Draw a rectanglearoundtheneardoubles.Solvethem.
3. Underlinethein-betweendoubles.Solvethem.
Let’stalk!
Whatdoyounoticeaboutalltheanswersto
(a) thedoubles, (b) theneardoublesand (c) in-betweendoublesin ?
Solvetheseusingtheopposite(inverse)of thedoubles.
Trythis!
1.
2.
Friendly Facts
Shadetheeasiest factgroupsgreen.Montyhasstartedthis foryou.Shadethenexteasiest factgroupsyellow.
Ithink+ 0 isoneofthe easiest,so I haveshaded itgreen!
Use and .
Move fromoneparttotheothertochangetheseinto friendly facts. Solvethem.
CheckingCalculations
3 if itlooksreasonable. ✗ if itlookstoobigortoosmall.
4. 7+8=15
Whichonesbelowequalthisbarmodel?
3 or ✗ eachbox.
3. Thereare6redapples and7greenapples.
Howmanymoregreenapples?
4.
5. 6.
Colourthecorrectonesgreenandtheincorrectonesred.
D Let’stalk!
Look atMonty.Doyouagree?
Explainwhy.
Youshouldalwayscheck yourcalculationsusing a differentway,andperhapsin morethanonedifferentway.
AddingThreeOne-digitNumbers
Draweachof theseasjumpsonthenumberline. Whatdoyounotice?Whyisthis? 1.
3.
Ringthenumbersyouwilladd first.Thensolve.
1.
4
7.
10.
Let’stalk!
Howcanyoucheck thatyouranswersin arecorrect? Comparewithyourpartner.Didyoudothemthesameway?Explainwhy.
D Let’sinvestigate!
IsMiacorrect?Inpairs,investigatebytryingtomodeleachof thenumber sentenceswithmaterialsorsketches.
Ineachgroup,theanswers willallbethesame.
Useconcretematerialstohelpyousolvethese.
Let’stal
Howcanyoucheck thatyoucalculatedyour answersin correctly?
Wholeand Parts
Spliteachsandwichinto2equalparts.Showdifferentways.
Let’stalk!
Whatisthewholeamountineachpicture?Whataretheparts?
Write‘whole’or‘parts’.
andtheslicesarethe
Theclock isthe andthehandsarethe .
Thecountiesarethe andIrelandisthe .
Trythis!
1. Howmightthewholesandwichbesplitinto 4 equalparts? Showdifferentwaysinyourcopy.
2. Split12countersintoequalparts. Howmanydifferentwayscanitbedone?
HalvesandQuarters
What fractiondoeseachof theseshow?
1. 2. 3. 4.
Colourin 1 2 of eachshape.Useadifferentwayeachtime.
Colourin 1 4 of eachshape.
1. 2. 3.
Trythis!
.
1. Thistangrampieceishalf theareaof another tangrampiece,butwhichone?
2. Findapatternblock thatishalf theareaof anotherpatternblock.
3. Tracearoundasquareinyourcopy.If thissquareis 1 4 of alargershape, drawthewholeshape.
Same Value,DifferentAppearance
Colourandwrite.
1. Colour1whole.
2. Colour1half. 1whole= halves= 2 1half = quarters= 4
Colourthe fraction.Writethenumberof quarters.
1. Colourthenumberof quarters
2. Colourthenumberof quarters equalto 1 2 . equalto 2 2 . quarters= 4 quarters= 4
3. Colourthenumberof quarters
4. Colouranumberof quarters lessthan 1 2 morethan 1 2 quarter= 4 quarters= 4
Completethese.
D Let’stalk!
Look atMiaandJay.Whatdoyouthink?
Explainwhy.
Thisisnot a fairshare!
Yesitis. We both have2quarters.
ComparingandOrdering
Let’stalk!
MiaandJayeachboughtthesamegranolabar.When theygothome,Miahadeaten 1 2 andJayhadeaten 1 4 Whohadeatenmore?Explainwhy.
Colourthegivenamount.Ringthegreater fractionif possible.
Putthe fractionsinthecorrectplaceonthenumberline.
D Let’stalk!
Onthenumberlineabove,istheremorethanone fractionwritteninthe sameplace?Explainwhy.
Look atthemilk cartonsbelow.AreDara andLexibothcorrect?Explainwhy.
HalvesandQuartersof Sets
Sharethestrawberries!
1. If DaraandJayshare12strawberries, howmanywilltheyeachget?
2. If wedivide12strawberriesamong 4 people, howmanywilleachpersonget? 3.
Usingupto20 or ,givethreeexamples of amountsthat…
1. canbehalved: , and
2. cannotbehalved: , and
3. canbequartered: , and
4. cannotbequartered: , and
Use or tohelpyousolvethese.
Whatdoyounotice abouttheanswers ineachgroup?
Trythis! Onlyhalf of the crackersareleftonthisplate. Howmanywerethereinthebeginning?
Buildit!Sketchit!Writeit!
Howdidyou findtheanswer?
CountinginHalvesandQuarters
Writetrueor false foreachstatement.
1. Eachsliceis1half
2. Thereare3slicesintotal.
3. Thereare10quarters.
4. Thereare2wholepizzasand1half pizza.
5. Tomake3wholepizzas,only1morequarterisneeded.
Completethesebonds.Sketchimagestomatchonyour mini-whiteboard.
.
Countinhalvesabovethenumberlineandinquartersbelowthe numberline.
Trythis!
1. Inactivity ,if therewere 4 wholepizzasat thebeginning,howmanypizzaswereeaten?
2. Daraeats 1 4 pizzaeveryday.After9days, howmanypizzas(wholesandparts)has heeaten? wholepizzasand
Jay:oddsMia:evens Unit4 Digital Resources
Oddsand Evens
Let’splay! OddsandEvens
● Playinpairs.Youwillneeda or a .
● Turntopage118 fortherulesof thegame.
● Chooseawaytorecordthescoresduringthegame.
Doyouthinkit’s bettertobeoddsor evens?Explainwhy.
Let’splay!
OddsandEvensTotals
● Playinpairs.Youwillneed ,oryoucanspinthe twice.
● Turntopage118 fortherulesof thegame.
● Chooseawaytorecordthescoresduringthegame.
Trythis! TheseareJayandMia’sscores fromOdds andEvensTotals:
1. Estimatethetotalnumberof goestheyeachhad.
Unit4: Data1. Day 1, Lesson 1
Pictograms
Agroupof childrenwereaskedtheir favourite fruit.Theiranswerswere:
Completethistallychart.Mark off each fruitaboveasyoutally.
Fruit: grapesapplebananastrawberryorange
Tally:
Total:
Completethispictogram.
Title:
Favourite fruit
1
grapesapplebananastrawberryorange
Trythis! Fillintheblanks.
Twice asmanychose aschose
Half asmanychose aschose .
.
4. fewerchose thanchose .
Multiple Values
Completethistallychart.
Our favouritehealthysnacksTally Total apple ricecake yoghurt popcorn
Usethetallycharttocompletethispictogram. Answerthequestions.
Leteachsymbolstand for2children.
Title: apple ricecake yoghurt popcorn 2
Key: symbol=2children
1. Whatwasthemostpopularsnack?
2. Whatwastheleastpopularsnack?
3. Howmanychildrenintotalchosericecakesorpopcorn?
4. Howmany fewerchildrenpreferredapplestopopcorn?
Trythis! Usethepictogramtocompletethesesentences.
1. 10chose .
2. 9chose and .
3. 4 morechose than .
©TheEducationalCompanyofIreland
Whomightbe interestedinthis information?
4. 30isthenumberof children .
DataInvestigation
Let’sinvestigate!
Whatdrinksshouldtheprincipalbuy fortheschool’sHalloweenparty?
1. Ithink thatthemostpopulardrink willbe _________________ .
2. Ithink thattheleastpopulardrink willbe .
Drink:
Tally:
Total:
©TheEducationalCompanyofIreland
Title:
Key: symbol= ____ children
Mostpopular= Leastpopular=
Let’stalk!
Tellyourpartnerwhatyoulearnedandwhatyouthink theprincipal shoulddo.
Food Fun
Mathseyes
Completethebondandwritethematching fact family.
Showhowyoucouldmovesomeeggseachtimetochangetheseinto friendly f
Trythis! Thenumberof eggscollected onSaturday,whenroundedto thenearestten,was60.
1. Whatistheleastpossiblenumber?
2. Whatisthegreatestpossiblenumber?
Let’splay! Pizzaparty
● Youwillneedapencilandapaperclip.
©TheEducationalCompanyofIreland
● Playinpairs.Theplayerwhosebirthdayisnextcango first.
● Eachplayerhasthreepizzas.
● Eachplayershouldtakeaturntospinthespinnerand‘eat’that fractionof oneof theirpizzas.Youcancrossitout orcoveritup.
● Thewinneristheplayerwho‘eats’allof their threepizzas first.
Let’sinvestigate! Foodsurvey
Chooseaquestiontoinvestigate,usingthedatainvestigationcycle. Examples:Whatisyour favourite fruit/icecream/breakfast/ lunch/dinner?Shareyour findingswiththeclass.
Writethecorrectnumbers.
minutesinanhour secondsinaminute
seasonsinayear hoursinaday
monthsinaseason monthsinayear
daysinaweek
Match.Howlongdoesittake…
fullweeksinamonth
1. towalkfromtheclassroomtotheyard?
2. foraseedtogrow?
3. tobrushyourteeth?
4. togo fromyourschooltoyourhome?
5. forababytogrowinsideitsmother?
6. towashyourhandscorrectly?
7. towriteyour fullname?
months minutes seconds
weeks
Let’stalk!
Look at .
Couldanyquestionshavemorethanoneanswer?
Explainwhy.
Readandanswerthequestionsagain,startingwith ‘Howlongdoesittake…’.
Ithinkwecould investigatethe questionsinB.
If youdon’t knowhowlongittakes,howcouldyou findout?
MeasuringTime
Let’sinvestigate!
1. Estimateandthenmeasurehowlongittakesto…(chooseandringone) thread12 beads throwa 6turnovera deck of 52cards stick40cubes together
2. Colouryourchoices.
Whichonecouldbeusedtomeasuredays/seconds/minutes/months/ hours/weeks? ©TheEducationalCompanyofIreland
Iwillmeasurehowlongittakesin: minutesdayssecondshours
Iwillmeasureusinga: timerstopwatchclock
3. Completethetable. 1stgo 2ndgo 3rdgo
Estimatedtime:
Actualtime:
Comparedtothe estimate,theactual timewas…(3)
Let’stalk!
faster slower
faster slower
faster slower
Look atthepictures.Wherehaveyouseeneachof these?
Whatiseachonecalled?
Aretheybetter formeasuringshorterorlongeramountsof time?
Calendars
Look atthelabels.Whatdotheymean?Whyaretheyshortened?
©TheEducationalCompanyofIreland
Usethecalendarabovetoanswerthese.
1. Colourthedatesthatareweekends orange.
2. If thelastdayof amonthis31,ringitin red If itis30,ringitin blue
3. Mia’sbirthdayisthelastdayof February. Whatdayanddateisthat?
4
. Nameamonthwith5Saturdays.
5. Nameamonthwith 4 complete(full)weeks.
6. Mark 3datesthatareimportanttoyou.
7. Usethiscolourcodetocolourthenamesof themonths:
wintermonthsspringmonthssummermonthsautumnmonths
Trythis! If aWednesday fallsonthe5thof amonth,whatdaywould thesedatesbe?
(a) The10th:
(b) The1st:
Writethecorrecttimeoneachdigitalclock.
Drawhandsoneachclock toshowthecorrecttime.
Thisis half2.
Thisis eightthirty.
Quarter Past
Trythis! Foreachof theclocksin ,say(orwriteorshow)thetime thatwouldbe:
anhourlater
Let’stalk!
Lexi’s firstraceisat10:15.Atwhattime,doyouthink, shouldLexileaveherhouseif shelivesaboutahalf an houraway fromthetrack?
Atwhattimeshouldshewakeup?
Quarter To
Drawhandsoneachclock toshowthecorrecttime. Writethetimeinwords.
quarterto 9two forty-fiveto11
Let’stalk!
Explainwhy.
Foreachof thetimesin and ,canyou sayif itisinthemorning,afternoon,eveningornight?
D Mathseyes
Notallclocksorwatcheslook thesame.Whattimedoeseachof theseshow?
Propertiesof 2-DShapes
Usethecolourcodetocolourtheshapes.
trianglesquarerectanglecircle oval
Ashapewith 6 straightsidesis a hexagon hexagon.
Ifallthesides andanglesarethe samemeasure,it isa regular regularshape. ©TheEducationalCompanyofIreland
Labeltheshapesabove.
1. WriteHinthehexagons.
2. WritePintheparallelograms.
3. WriteRintheregularshapes.
Let’stalk!
Arethereanyshapesthatyoudidnotcolour?Why?
Whatnamescouldbegiventothoseshapes?
DoyouagreewithMonty?Whyorwhynot?
A4-sidedshape,where theoppositesidesare equalinlength,is a parallelogram parallelogram.
Ithinkyou couldhave alsocoloured thesquares blue!
2-DShapes:Sidesand Vertices(Corners)
Drawtheshapesandcompletethetable.
2-DshapeDrawtheshape
Square Triangle
Rectangle
Circle
Oval
Semi-circle
Hexagon
Parallelogram
Let’stalk!
Howmany straight sides?
Howmany curved sides?
Howmany vertices?
Apolygonhas onlystraight sides. ©TheEducationalCompanyofIreland
Whichof theshapesabovearepolygons?
Always,sometimesornevertrue:apolygonhas moresidesthanvertices?
Nameapolygonwithanoddnumberof sides.
Nameapolygonwithanevennumberof sides.
Trythis! Miaused13sticks tomake3shapes. Whatshapescouldshehavemade?
Classifying2-DShapes
Matcheachshapetothecorrectlabel.
straight sidesonly
©TheEducationalCompanyofIreland
notall straightsides
Drawoneshapeineachspacebelow.
regular polygons
MAM-2-06-014
Thesideson a regularpolygon areallthesame length.
3 verticesorless morethan3 vertices
notregular polygons
Trythis! Writeadifferent label foreachbox.
ShapesinShapes
Usearulertodrawstraightlinestodivideeachshapeinto smallershapes.
Let’stalk!
Withyourpartner,comparehowyoudividedtheshapesin : Didyoudoitindifferentways?
Canyounametheshapesthatyoumade?
Usetangrampiecestomakenewshapes.
4. 6pieces? 5. 7pieces? ©TheEducationalCompanyofIreland
1. Usethetwosmallesttrianglestomakeanewshape. 3 theshape.
● mediumtriangle
● square ● parallelogram
2. Usethetwosmallesttrianglesandoneotherpiece. Onyourmini-whiteboard,drawtheshapeyoucouldmake.
Trythis! 3or ✗.Usingthetangrampieces,isitpossibletomake asquarewith...
1. 3pieces? 2. 4 pieces? 3. 5pieces?
Classifying3-DShapes
Mathseyes
Labeleach3-Dshape.
Mathseyes
Whatcanthese3-Dshapesdo? 3whateach3-Dshapecando.
cube
cuboid cylinder sphere cone pyramid
©TheEducationalCompanyofIreland
Roll Stack Slide
3-DShapes: Faces,Edgesand Vertices
Matcheach3-Dshapetooneormore suitablelabels.
flat facesonly
flat facesanda curvedsurface
acurvedsurfaceonly
straightedgesonly noedges
curvededgesonly novertices
lessthan6vertices
morethan6vertices
Thesemighthave morethanone correctanswer!
Trythis! Guesstheshape.Theyeachhaveadifferent shape.
Ihaveashape withequalfaces.
Ihaveashape with1curvededge. Ihaveashape withcircularfaces.
Ihaveashapewithan evennumberofvertices.
ConstructingandDeconstructing3-DShapes
Matcheach3-Dshapewiththecorrectsetof 2-Dshapes.
Tomakea…Ineed…
cube pyramid
cuboid
Let’stalk!
Which3-Dshapescouldnotbemade fromthepiecesabove?Why?
What3-DshapesisLexitryingtomake?
1.
2.
D Let’stalk!
Always,sometimesornever?‘A3-Dshapealwayshasmoreedgesthan vertices,andmoreverticesthan faces.’Explainyouranswer.
Trythis!
1. MiaandDaraaremaking3-Dshapes.
(a) Miamakesapyramid.Ringthe piecessheuses.
(b) WhatcouldDaramake from whatisleft?
2. (a) Jaymadethisshape from sticks and piecesof playdough.
(b) Jayhas8sticksleft. Whatelsecouldhemake?
©TheEducationalCompanyofIreland
CountingGroups
Let’sinvestigate!
Howmany?
Choosearesourcetocount.
Inacontainer,putanamountthatyouthink isbetween100and200.
Donotcount!
Drawoneof what youarecounting.
Makeanestimate thatistoobig.
Makeanestimate thatistoosmall.
Makeareasonable estimate.
Nowcount.
Totalamount=
Trythis! Howmanymoretomake150or200?(whicheveriscloser)
Completethenumberpaths.
1.
2.
160170180190 4
Howmanymore? ©TheEducationalCompanyofIreland
105110115120
1.
Eachrowusesthesamewaytoshowdifferentnumbers.
3.
Hundreds, TensandOnes
Completethetable.
1. onehundredand fifty-two
2. onehundredand twenty
3. onehundredand nineteen hundred, tensand ones hundred, tensand ones hundred, tenand ones Matchtheplacevaluearrowcards.
ComparingandOrderingNumbers
Ringthegreaterineachsetif possible. Put<,>or=inthecircle.
1. 2.
2. 4.
©TheEducationalCompanyofIreland
Ringthegreaterineachsetif possible. Put<,>or=inthecircle.
1. 98 102
3. onehundredandsix 160
5. 197 180+17
Fillin anumbertomakethesetrue.
1. 123isgreaterthan
134
4 +3
. 181 118
6. 160+14 18tens
2. 109islessthan
3. isgreaterthan119 4. islessthan170
Trythis! Usethedigitcardstoanswerthequestions.
1. Usingonly two of thedigits…
(a) makethegreatestnumber.
(b) makethesmallestnumber.
2. Usingonly three of thedigits…
(a) makethegreatestnumberlessthan200.
(b) makethesmallestnumbermorethan100.
3. Ordertheanswers fromsmallesttogreatest.
4. Choose fourotherdigitsandwritethemonyourmini-whiteboard. Repeattheactivitiesabovewiththenewdigits.
Roundthesenumbers.Youcandrawnumberlineson yourmini-whiteboard.
Trythis! Whatmightthenumbersbe?
Theyaregreaterthan100andlessthan200.
1. Ihave3ones.Iroundto140.
2. Iamlessthan126.Iroundto130.
3. Mytensdigitandonesdigitarethesame.Iroundto180.
Hint: Youcould writedownall ofthenumbers thatroundto eachnumber.
NumberHunts
Mathseyes Schoolnumberhunt
1. Findnumbersbetween100and200inyourclassroomorschool. Writethemandshowthemasasketch.
(a) (b) (c)
©TheEducationalCompanyofIreland
(d) (e) (f)
2. Showwhereeachnumbersitsonthenumberline.
100
200
3. Roundeachof thenumberstothenearestten.
(a) ➜ (b) ➜ (c) ➜
(d) ➜ (e) ➜ (f) ➜
Lookforacar!
1. Writethereg.number:
2. Usetwoof thedigitseachtimetomake…
(a) thegreatestnumber
(b) thesmallestnumber
3. Usethreeof thedigitseachtimetomake…
(a) thegreatestnumberlessthan200
(b) thesmallestnumbermorethan100
4
. Ordertheanswers fromsmallesttogreatest.
The ToyShop
Mathseyes
Matcheachtoytoalabelthatsuits.
Let’stalk!
Whatotherlabelscouldbeused forsomeof thetoysin ?
Aretheretoysorgamesinyourclassroomthatmatchanyof theselabels?
Trythis!
Rule:Youcanonlyusethesamedigitonceinanynumberthatyoumake.
1. Whatisthelargestthree-digitoddnumberyoucanmakethatis closestto200?
2. Whatisthelargestthree-digitevennumberyoucanmakethatis closestto200?
Let’screate!
Fillinthemissingdatesonthetoyshopcalendar. Decemberopeningtimesatthetoyshop
©TheEducationalCompanyofIreland
D Let’stalk!
Ask yourpartnerquestionsbasedonthecalendarabove. Example:OnhowmanyFridaysisthetoyshopopen?
Trythis!
1. Whichdayof theweek hasthelongestopeninghours?
2. Forhowmuchlongerisitopenthanon24 December? hours
Let’splay! Eightspinsto200
● Youwillneedplacevaluecountersorbasetenblocksanda .
● Inpairsorgroups,takeitinturnstospinthespinner.
● Choosewhethertocollectthatnumberof tensorones.Example:If the spinnerlandson5,youcanchoosetocollect5or50.
● Eachplayermustspineighttimes.
● Thewinneristheplayerwiththeamountclosestto200attheend. Youcangoaboveorbelow200.
Iusedquick cubes.
TO TO
TO TO
TO TO
TO TO TO
Iusedthe numberline onmyminiwhiteboard.
Let’stalk!
Inwhatotherwayscould and besolved?
Trythis! Solvethesenumbersentencesinyourownway.
AddingandSubtracting Two Two-digitNumbers
Drawquick cubestosolvethese.
1.
Usenumberlinestosolvethese.
1. 43+14 = 2. 72+23=
.
Usethecolumnmethodtosolvethese.
Trythis!
1. Writeanumbersentence,using fourof the digits1,2,3, 4 or5onceonly. + Addthenumbers.Whatisthetotal?
2. Whatisthegreatesttotalthatcanbemade fromthedigitsabove?
Whatstrategiescouldbe usedtoaddthenumbers? ©TheEducationalCompanyofIreland
3. Whatistheleasttotalthatcanbemade fromthedigitsabove?
TO TO TO TO
Trythis!
1.
2. Whatisthegreatesttotalthatcanbemade?
3. Whatistheleasttotalthatcanbemade?
Whatstrategies couldbeused?
AddingwithRenamingOnesas Tens
Use tomodelthese.Usebranchingtoshowwhatyoudid. 1.
Use tomodelthese.Usethecolumnmethodtoshowwhat youdid.
Let’stalk!
Howcouldyoucheck theanswersto and ?
Trythis!
1. HowmuchmoneydoesJayhave?€
2. Howmuchmoneydobothchildren havealtogether?€
Mia€28
€? Jay ?
©TheEducationalCompanyofIreland
€19
Ihave€28. Ihave€19more thanyou.
AddingwithRenaming TensasHundreds
Use tomodelthese.Usebranchingtoshowwhatyoudid.
Use andthecolumnmethodtosolvethese.
Trythis!
1. Use fourdifferentdigitstomaketwonumbers thatmakeathree-digittotalwhenadded. Addthenumbers.Whatisthetotal?
2. Whatisthegreatestthree-digittotalthat canbemade?
3. Whatistheleastthree-digittotalthatcanbemade?
Checkyouranswers, usingadifferent strategy.Whichone?
AddingThreeNumbers
Let’stalk!
For and below,estimatewhethertheanswerswillbelessthan(<) orgreaterthan(>)100.Writethesymbolbesideeachtoshowyour estimate.Explainwhy.
Usethecolumnmethodtosolvethese.
Chooseawaytosolvethese.Useresourcesasneeded.
Ringthedigits youaddedfirst ineachcolumn.
D Let’stalk!
Wereyourestimates for and correct?Explainwhy. Howcouldyoumakeaquick,reasonableestimateeachtime?
Let’splay!
● Inpairsorgroups,taketurnsthrowingtwodice. Recordthebiggestnumberthatcanbemade.
● Forexample,if youthrow3and 4,make 43.
● Playuntileveryplayerhasmadethreenumbers.
● Thewinneristheplayerwiththegreatesttotal fromtheirthreenumbers.
Trythis! Canyouwork outthe correctsymbol(<,>or=)without addingthenumbers?
Different Views
Whichaerial-viewobjectshaveamatchingstreetview?Matchthem.
Whichonesabovehadnomatch?Drawthecorrect aerialview fortheseinyourcopy.
Let’stalk!
What3-Dshapescouldthesebe?
Imaginethatyouarefloatingabovetheclassroom, lookingdown.Drawthedoorsandwindowsfirst.Draw thebigthingslikedesksnext,andthenthesmallthings. ©TheEducationalCompanyofIreland
Ithinktherecouldbemorethanone correctanswertosomeofthese.
Look atMia.Whatdoyouthink?Explainwhy.
Trythis! Inyourcopy,drawanaerialviewof yourclassroom. Use PCM2(1cmSquareGrid)tohelpyou.
Turns
Mathseyes
Ringthecorrectinstructions.Whatisneeded…
1. 2. 3. toturnto60?
fullturn
half turn
quarterturn
clockwise anti-clockwise
toturnto30?
fullturn
half turn
quarterturn
clockwise anti-clockwise
fortheorangehandto turnto9?
fullturn
half turn
quarterturn
clockwise anti-clockwise
forthegreenhand toturnto3?
fullturn
half turn
quarterturn
clockwise
anti-clockwise
forredtobe pointingright?
fullturn
half turn quarterturn
©TheEducationalCompanyofIreland
clockwise anti-clockwise
foryellowtobe pointingleft?
fullturn half turn quarterturn
Match.Whatisneededtohavethestick pointing…
Let’stalk!
clockwise anti-clockwise
left?
half turn,anti-clockwise right?
fullturn,clockwise up? quarterturn,anti-clockwise down? quarterturn,clockwise
Inwhatdirection,andbyhowmuch,mightIhaveturnedeach shape,ifitlooksthesameattheendasitlookedatthestart?
StartEndStartEndStartEnd
Look atthegridabove.ThebotalwaysstartsatA1.If Daraenters thedirectionsbelow,wheredoesthebotendup?
Directions:
Endsupat:
RightAngles
Dotheseshapeshaverightangles?
Drawa inanycornerthatisarightangle.
Drawan ✗ if itisnotarightangle.The firstonehasbeendone foryou.
.
Mathseyes
1. Drawa inanycornerthatisrightangle.
2. Find fiveitemswithrightanglesinyourclassroom.Drawthemin yourcopy.
Trythis!
1. Howmanyright-angleturnsmustthebotdotomake…
(a) aquarterturn?
(c) a fullturn?
(b) ahalf turn?
(d) threequarterturns?
2. Jaydrewthishouse. Howmanyrightanglesarethere?
3. Inyourcopy,drawyourownpicturewith morethan20rightangles.
©TheEducationalCompanyofIreland
Reflections
Completetheseshapes.Useyourmirrortocheck. 1. 2. 3. 4.
D
Let’stalk!
Nametheshapesyoumadeabove,if youcan. Ineachshape,drawa toshowanyrightangles. Whichshapehasthemostrightangles?
Completetheanimal faces.Useyourmirrortocheck. 1. 2. 3. 4.
Completethese.
Mathseyes
Findthingsthathavelinesof symmetryinyourclassroom. Drawtheminyourcopyoronyourmini-whiteboard.
WhatMove?
Howwaseachpentominomoved?Writethecorrectletter foreach.
S=SlideT=TurnF=Flip
©TheEducationalCompanyofIreland
Let’stalk!
Canyoudescribeeachmovein inmoredetail?
Usesomeof thesewordsif youcan:
clockwiseanti-clockwiseup down
Arethereanyshapesthatcouldhavebeenmovedinmorethanoneway?
Tessellations
Dotheseshapestessellate? 3or ✗.
Doyouthink theseshapestessellate? 3or ✗.Builditorsketchit toproveyouranswer.
1. square
3. rectangle
2. semi-circle
4. parallelogram Completethesetessellations.
D Howmanyrightanglesarethereinsideeachpentominopiece?
1. Drawa toshoweachrightangle.
2. Writethetotalnumberof right anglesineachpiece.
3. Write‘M’inthepiecewiththe mostrightangles.
4. Write‘L’inthepiecewiththe leastrightangles.
6
Trythis! Coveracopyusingtheleastnumberof patternblocks.
1. Whatshape(s)didyouuse?
2. Howmanydidyouuse?
MeasuringLength
Let’sinvestigate!
Whohasthelongestlunchbox?
Iwillmeasureusing Estimate first,thenmeasure.Fillinthetable. Whoselunchbox?
©TheEducationalCompanyofIreland
Howlongiseach?
Metres
Estimate firstandthenmeasure. Iseachof thesegreaterthan(>),lessthan(<)orabout(=)1metre? Putthecorrectsymbolineachanswerbox.
Yourheight
Trythis! Make ametrestrip fromanA4 sheetof paper. Howmightyoudothis?Whatdoyouneed? ©TheEducationalCompanyofIreland
Mathseyes
Useyourmetrestrip.Findanddrawthingsthathavealengthof…
Estimateandthenmeasure.
Centimetres
Mathseyes
Findanddrawthingsthathavealengthof… about1centimetreabout5centimetresabout10centimetres
Estimate(E)thelengthandthenmeasure(M)witharuler.
Trythis! Usearulertodrawalineof eachlength below.
Let’stalk!
Thecoreofpattern1has3elements:big, small,small.ThiscouldbelabelledABB.
Whatisthecoreof eachpatternabove?
Howmanyelementsarethereinthecore?
Howmightyoulabeleachpattern,usingletters?
Whatwouldbethe12thtermineachpattern?
Trythis!
1. If youcontinuethebeadpattern…
(a) the18thbeadwillbecoloured .
(b) the30thbeadwillbecoloured
Explainhowyou workedthisout.
GrowingorShrinking Patterns
Colourinthenexttwoterms.Writethenumberof colouredsquares.
Drawjumpson thenumberlinetoshowagrowingpattern.
Work outtherule forthese.Writethemissingterms. Hint: Useyour100squaretohelpyou.
Miamadethisstringof beads. Fillinthemissingcolours.
Writeoutthetermsof thispattern onyour mini-whiteboard,andcontinueittothe20thterm.
Startlikethis: 1,1,2,2,3,3,...
PatternsinOddor EvenNumbers
Let’sinvestigate! Oddandevennumbers
Choosesimpleoddandevennumberstoinvestigate. Drawnumbershapestoproveyouranswers.
1. even+even=
2. even–even=
4 + 2 = 8 – 4 =
©TheEducationalCompanyofIreland
3. odd+odd=
4. odd–odd= + = – =
5. even+odd=
6. even–odd= + = – =
7. odd+even=
8. odd–even= + = – =
Completethese.
1. Multiplesof 10allendin .
2. Multiplesof 5allendin
Multiplesof 10are10, 20,30,40…
3. Evennumbersallendin .
4. Oddnumbersallendin .
Trythis! Giveanexample foreach of these.Example
1. odd+even+even= + + =
2. odd+odd+even= + + =
3. odd+odd+odd= + + =
TheZoo
YOU ARE HERE
©TheEducationalCompanyofIreland
Let’stalk!
Youareatthe‘YouAreHere’sign, facingthesnakes. Saywhatdirectionmustyouturntovisit…
● thelion
● thepenguins
● thegiftshop
Canyouthink of anotherwaytodescribehowtoget toeachof theseplaces?
Taketurnstodescribehowtovisiteachanimal, startingattheentrance.
Mathseyes
Canyouuse thesewords?
halfturn quarterturn clockwise anti-clockwise turnright turnleft
Useyourrulertomeasurethelengthof eachinsect’sbody.
ThistableshowshowmanyT-shirtsthegiftshophas.Writethetotal foreachstyle.
GorillaT-shirtsPenguinT-shirtsLionT-shirtsGiraffeT-shirts
Total:
Let’screate!
Total:
Total:
Trythis! If thegiftshopsells26greengiraffeT-shirts and 25redgiraffeT-shirts,howmanygiraffe T-shirtswilltheyhaveleft? ©TheEducationalCompanyofIreland
White75Pink48Grey13Red 44
Total:
Youwillneedpaperandcolouringpencils.Usingthesebeads,drawsome patterns forbraceletstosellatthegiftshop.
SubtractingThrough Tens
Crossoutcubestosolvethese.
1.
3. 54 –9=
Userelated factstosolvethese.Explainhowyoudidthem.
1.
Writeanumbersentenceanduseanumberlinetosolvethese.
1. Thereare21childrenattheparty. – = 7gohome.Howmanyareleft?
2. Thereare 45childrenintheplayzone.9childrenleaveand 4 more arrive.Howmanychildrenareintheplayzonenow?
4
3. Thereare38childrenonabus. = 5moregeton.9getoff. Howmanyareonthebusnow?
4
Crossoutcubestosolvethese.
Nowcheck youranswers a differentway. UseBuildit! Sketchit!Writeit!to proveyouranswers.
Trythis! Writethemissingdigitstomake thesetrue. Showadifferentwaytosolveeachonyourmini-whiteboard. 1.
Trythis! Imaginethatyouhave€100. Howmuchwouldyouhaveleft if youspent…
1.
3.
1.
2. 165166167
3.
Solveandcontinuethepatterns.
Usethecolumnmethodtosolvethese.
197198199
AddingandSubtracting Tens Completethese.
1. 102112122
2. 145155165
3.
Solveandcontinuethepatterns.
168178188
1. 2. 3.
118+10= 118+20= 118+30= 118+ 40= +50= + =
197–80= 197–70= 197–60= 197–50= – = – =
Writeamatchingnumbersentence foreach.
1. Darahad107stickers.Miagavehim 40. Howmanyhashenow? =
2. Miahad136stickers.ShegaveDara 40. Howmanyhasshenow? =
189–30= 179–30= 169–30= 159 – = – =
3. Jayhad173stickers.Hegave30toLexiand30toMia. Howmanyhashenow? =
4. Lexihad91stickers.Jaygaveher30andDaragaveher20.
Howmanyhasshenow? =
Trythis! Whohad…
1. themoststickers attheend?
2. theleaststickersattheend? ©TheEducationalCompanyofIreland
FindingDifference
Thechildrenplayedagameof bowling. Their finalscoresareshownabove.
1. Whatwerethe finalscores?
(a) Dara (b) Lexi (c) Jay (d) Mia
2. Comparethechildren’sscores.Use<or>.
(a) Dara Jay
Whatnumberswouldyoumaketohavethegreatestdifferencepossible? ©TheEducationalCompanyofIreland
(b) Mia Lexi
3. Usethenumberlinetohelp findthedifferenceinscoresbetween…
(a) JayandLexi
(c) LexiandDara
(b) DaraandMia
(d) JayandMia
Writeanumbersentenceandshowhowyousolvedeachof these.
1. Inaschool,thereare135boysand186girls. Howmanymoregirlsarethere?
2. Benis116cmtallandAmyis147cmtall. HowmuchtallerisAmythanBen?
3. Aredbikecosts€159andablue bikecosts€127.Howmuchmoredoes theredbikecost?
Trythis! Using fourdifferentdigits,writeanumbersentenceand calculate thedifference.
Measuring Weight
Write<,>or=tomakethesetrue.
1. 2.
grapesapplesugar floursugargrapes
Solvethese.
1. Theheaviestitemaboveisthe .
2. Thelightestitemaboveisthe .
3. Ordertheitems,usingtheir firstletteronly. < < < lightest heaviest
Trythis!
1. Trueor false? 3 or ✗
(a) A<B
(b) A>B
(c) A=B
(d) A=6blocks
(e) A+B=11blocks
(f) B+B=12blocks
(g) A+A+A=10blocks
Howdoyouknow?
I’mgoingtosketch whatIknowabout thepictureonmy mini-whiteboardfirst.
2. BoxCistwicetheweightof A.Itweighs blocks.
3. BoxDishalf theweightof B.Itweighs blocks
Completethetable.Choosesomethingelse forthelastrow.
Howmany weighabout a 1 2 kg?
EstimateMeasure
Howmany weighabout a 1 4 kg?
MathsbooksMathsbooks
Mathscopies
Trythis!
Mathscopies
EstimateMeasure
MeasuringCapacity
Let’sinvestigate!
Completethetableand answerthequestions.
Chooseacontainer.EstimateCapacityDifference
A cups cups cups
B cups cups cups
C cups cups cups
1. Whichcontainerhasthegreatestcapacity,A,BorC?
2. Orderthecontainers fromleasttogreatest. < < Solvethese.
=
Jar Jug Vase
Glasses
1. Writethecapacity.
(a) jar= glasses
(b) vase= glasses
(c) jug+jar= glasses
(d) vase+jug= glasses
Glasses
Glasses
2. Put<,>or=tomakethesetrue.
(a) jug 6glasses
(b) 2glasses jar
(c) vase 8glasses
(d) 2jugs 10glasses
Trythis! +
1. = = glasses
2.
glasses
Solvethese.
1. Writethecapacity.
(a) kettle= litres
(b) bucket= litres
(c) wateringcan= litres
(d) kettle+wateringcan= litres
(e) wateringcan+bucket= litres
2. wateringcan= kettles
3. kettle+wateringcan= buckets Trythis!
1l
Potatoessold55kg72kg 48kg
1. OnThursday,theshopsoldlesswaterthanitsoldonMonday,but morethanitsoldonTuesday.Writeapossibleamountinthetable.
2. OnThursday,theshopsoldmorepotatoesthan itsoldonWednesday,butlessthanitsoldon Monday.Writeapossibleamountinthetable.
3. Orderthelitresof watersold fromleasttogreatest.
l< l< l< l
4. Ordertheweightsof potatoessold fromgreatesttoleast. kg> kg> kg> kg
Measureeachline.Orderthelines fromshortesttolongest.
Ordertheheights from
Fillineachboxwithasuitable shortesttotallest. number.
OperationswithMeasures
0102030
405060708090100
Solvethese. (Hint: Buildit!Sketchit!Writeit!)
1. (a) Howmuchheavieristhedog food? kg
(b) + + = kg
2. Whatlengthisthethirdloaf? cm
3.
(a) Theheaviestbagweighs kg.
(b) Thelightestbagweighs kg.
(c) All3bagstogetherweigh kg.
(b) Theheaviestbagis kg heavierthanthelightestbag.
4. Darais1m25cmtall.Jayis1m18cmtall.
(a) HowmuchtallerisDara? cm
(b) If bothlayheadtotoe,how farwilltheystretch? m cm
5. BoxBholdstwiceasmuchwaterasboxA.BoxCholdshalf asmuchas boxA.BoxDholdsthreetimesasmuchasboxC.Howmuchwaterisin eachbox?
l 40l l l
a.m.andp.m.
Showthetimesand 3 a.m.orp.m.
1. Daragetsupataquarter past7inthemorning. : a.m. p.m.
3. Jaygoestoschoolataquarter to9inthemorning. : a.m. p.m.
Match!
2. MiawatchesTVataquarter past7intheevening. : a.m. p.m.
4. Lexigoestobedataquarter to9intheevening. : a.m. p.m.
12:00p.m.isalsocalled morning
12:00a.m.isalsocalled afternoon
Timesbefore12:00p.m.areinthe midnight
Timesjustafter12:00p.m.areinthe middayornoon
Trythis! Dara’sday:Readallof theoptions first. Then,writethecorrecttime.
Hewakesup.
Hegetsdressedby… ________
Hegoestotraining.
Hegetshome fromtraining. ________
Heeatsbreakfastby…
Hegoestoschool. ________
Hegetsready forbed.
Hegoestobed.
Duration
Takingthetrain
1. Useclocksand/orthetimenumberlinetohelpyoucompletethetable.
Saturdaytrains
Dublinto…LeavesArrives Totalduration(length)of journey
Belfast
1:00p.m.3:00p.m.
Wexford 1:15p.m.3:45p.m.
Sligo 1:30p.m. 4:30p.m.
2. Whichjourneyistheshortest?Dublinto
3. Whichjourneyisthelongest?Dublinto
4. JaygotontheWexfordtrain,buthegotoff atBray. If Brayishalf anhouraway fromDublin,atwhat timedidJayarriveatBray?
Trythis!
Usethecluestohelpyoucompletethe table.
● ThetraintoWexfordleavesatmidday.
● ThetraintoSligoleavesataquarter past2intheafternoon.
● The1sttraintoBelfastleavesata quarterto8inthemorning.
Sundaytrains
Dublinto…LeavesArrives
Belfast
Wexford
Sligo
Belfast
● The2ndtraintoBelfastleavesathalf past7intheevening.
● Theduration(length)of eachtrainjourneyisthesameasonSaturday.
(Hint: Usethelastcluetowork outwheneachtrainshouldarrive.)
Let’stalk!
Lexi’swatchshowsthetimeshearrivedatthestation. Whattrainmightshebecatching?
Look atthetimetableandanswerthequestions.
1. Whogets fedataquarterto2?
2. Whogets fedataquarterpast12?
3. Whogets fedatmidday?
4. Whatis(a)theshortestand(b)thelongestamountof timebetween the feedingtimes? (a) (b)
5. Lexiarrivesatthezoojustafteraquarterto2onaTuesday. Whichanimalcansheseebeing fed first?
6. Lexispendsalmost2andahalf hoursatthezoo.Atroughlywhat timedoessheleave?
7. Makeupaneasyquestiontoask yourpartneraboutthetimetable. Writeit.
8. Makeupaharderquestiontoask yourpartneraboutthetimetable. Writeit. Let’stalk!
Whoiscorrect,MiaorLexi?
Explainwhy.
10:30a.m.11:30a.m.1:00p.m.2:00p.m.3:30p.m. ©TheEducationalCompanyofIreland
Theelephantgetsfedat threequarterspast1. No,it’sat a quarterto2!
Trythis! Completethetimetableoffeedingtimesatthesafaripark. Puttheanimalsinthecorrectplaces.
● The giraffe gets fedlaterthanthe lion andthe elephant.
● The tiger gets fedlaterthanthe giraffe,butearlierthanthe meerkat.
● The elephant gets fedtheearliest.
NationalSpringClean
Springclean-up fortowns
1. Oldtown,Newtown,Lowtownand Hightownheldtheirspringclean-up onthe firstSaturdayinAprilthisyear. Whatwasthedate?
2. Usethecluestocompletethetableaboutthetownclean-ups.
● NewtownstartedbeforeLowtown,butafterHightown.
● Oldtownstartedatmidday.
● Lowtownhadthelateststart.
● Hightown’sclean-uplastedtwoanda half hours.
● Oldtown’sclean-uplastedthreehours.
● Newtown’sclean-upendedathalf past threeintheafternoon.
● Lowtown’sclean-upendedhalf anhour afterHightown’s.
Didyouknow thatNational SpringClean takesplace inApril? ©TheEducationalCompanyofIreland
Let’stalk!
Ask yourpartnerquestionsbasedonthe tablein .Usethe followingwords: earliest,latest,shortesttime,longesttime.
Weighingthelitter
1. Comparetheweightsof littercollected.Put<or>ineachcirclebelow.
(a) Newtown Hightown
(b) Oldtown Hightown
(c) Oldtown Lowtown
2. Whichtown’slitterwas…
(a) thelightest?
(b) theheaviest?
3. Thisnumberlineshowstheweightof eachtown’slitterin kilograms.
100110120130140150160170180190200 kg
Usethenumberlineto findthedifferencein weightbetween…
(a) NewtownandOldtown kg
(b) NewtownandHightown kg
(c) HightownandLowtown kg
(d) LowtownandOldtown kg
1. Isitanoteoracoin?Write N or C ineachbox.
2. ✗ theonesthatarenotusedinIreland.
3. ColourtheonesthatareusedinIreland.
Let’stalk!
Saythevalueof eachnote/cointhatyoucolouredin . Namethecountryof eachnote/coinwhereyouput ✗ in . Whichonebelowdoesnotbelong?Explainwhy.
Trueor false:allcoinsareround?
Trueor false:alleurocoinsarecent?
Trythis! Guessthevalueof each.Whatmakesyouthink this?
1. 2. 3. 4. ?
Whatdotheythin
Whydotheythink this?
Doyouagreeordisagree?
Explainwhy.
Howmuchisineachpiggybank?Writeeachamount intwoways.
Writetheamountascentonly.
Writetheamountusing€andadecimalpoint.
Trythis! Completethegridtoshowtheamounts. (Hint: Use€andadecimalpoint.
Child:€1.
Let’stal
Look ateachpairbelow.Whodoyouthink hasmore?Explainwhy. Whocouldhavethesameamount?Explainwhy.
ComparingandOrdering
Whichwouldyourather?
1. Ringtheamountthatyouwouldratherhaveineachrow.
2. Put<,>or=inthecircleineachrowabove.
Howdidyou worktheseout?
3. Whatisthesmallestamountabove? cor€
4. Whatisthelargestamountabove? cor€
Let’stalk!
Look atDara,JayandMia.
IhavemorethanMia. IhavelessthanMia.
WhatnotedoIhave?
Finding Totals
Let’splay! Makeapicnic forthebeach!
● Playinpairs.
● Eachplayershouldthrowa twicetobuyanitem fromeach group. Example: If youthrowa3,youbuytheitem numbered3.
● Addthecostof yourtwoitemsto findthetotal.
● Thewinnerof eachroundistheplayerwhospendsthemost. Group
● Playagain,butthistimethewinneristheplayerwhohasspent theleast.
Trythis! Inthegameabove…
1. Lexispent€0.99. Howmuchwaseachitem? cand c
2. Jayspentmorethan€1. Howmuchwaseachitem? cand c
3. Miaspentthemostpossible. Howmuchwaseachitem? cand c
FindingChange
Youhave50c.Usethenumberlinesto findyourchange.
1. Ihave .Ispend 42c. Mychangeis c.
Ihave .Ispend39c. Mychangeis c.
Block Graphs
Agroupof peoplewereaskedwhatistheir favouritecitytovisit.
Theseweretheirchoices:
NewYork, Paris, NewYork, London, Dubai, Dubai, NewYork, Paris, London, NewYork, Dublin, NewYork, Paris, Dubai, NewYork, Dubai, Paris, NewYork, Dublin, London, Dubai, Paris, NewYork, Dubai
Completethetallychart.
Choices: NewYork London Dublin Paris Dubai
Tally:
Completethesentences.
1. peoplepreferredNewYork.
2. Twiceasmanypeoplechose aschose .
Multiple Values
Agroupof peoplewereaskedhowtheytravelledtotheirlastholiday.
Completethetallychart.
Travelled by:Tally Total
Completetheblock graph.
Title:
Aeroplane
Completethese.
1. Howdidmostpeopletravel?
2. Howdidtheleastnumberof peopletravel?
3. (a) Didmorepeopletravelbycarorbytrain?
(b) Howmanymore?
4. Twiceasmanypeopletravelledbycarastravelledby .
5. Howmanypeoplealtogethertravelledbyland?
6. Howmanypeopleweresurveyedintotal?
D Let’stalk!
Whomightbeinterestedinthisinformation?Explainwhy.
DataInvestigation
Let’sinvestigate!
Whatareour favouriteholidays?
Pickfourholidays.Findoutwhatpeopleprefer.Recordtheirchoicesusing thetallychartandblock graph.
1. Ithink thatthemostpopularholidaywillbe .
2. Ithink thattheleastpopularholidaywillbe .
Holiday:
Tally:
Total:
©TheEducationalCompanyofIreland
Title:
Key:
= people
Mostpopular=
Let’stalk!
Leastpopular=
Tellyourpartnersentencesbasedonthedataintheblock graph.
MeasuringArea
Tocoveryourdesk,howmanyof eachunitisneeded?
1.
2.
3.
4. Other:
Estimateandmeasure theareainplayingcardsof threeotherobjects.
Let’stalk! Whoiscorrect,LexiorDara?
Couldtheybothbecorrect?
Explainwhy.
Imeasuredtheareaof abook,anditmeasured 18piecesofcard.
Imeasuredthesame book,anditmeasured 20piecesofcard.
Trythis! Miadoesnothaveenoughplayingcardstomeasurethearea. Whatisthetotalamountof cardsneededto filleacharea?
1. 2.
CountingandComparingSquareUnits
Theplayground
1. Work outthearea.
A= squnits
B= squnits
C= squnits
D= squnits
E= squnits
F= squnits
2. Use<,>or=:A BC
Look atthegeoboardshapesand fillintheanswers.
1. Theshapewiththegreatest areais
2. Twoshapeswiththesame areaare and
3. Fistwicetheareaof
4. Eis 1 2 theareaof .
Let’stalk!
Doyouthink Mia’sgeoboardshape isasquareorarectangle?
Trythis!
1. Work outthearea.
A= squnitsB= squnits
C= squnitsD= squnits
2. hasthegreatestarea.
4. Other:
Mathseyes
Findanddrawitemsthathave…
anareagreaterthana squaremetre anarealessthana squaremetre anareathesameasa squaremetre
Trythis!
Writetheareaof…
1. thewholecarpark (greyarea): sqm
2. thedisabledcarparkingspace: sqm
3. theothercarparkingspaces: sqm
4
=1sqm
Whichtwoabovearenotequal?Completethisnumbersentence:
Writeanamounttomakeeachnumbersentencetrue.Check your answers,usingtheand.
Trythis! Writeyourownnumbersentencesthataretrue.
Writeanamount(lessthan20)tomakeeachnumbersentence true.Check youranswers,usingtheand.
Trythis!
1.
2. Writethesmallestpossiblenumbertomakeeachof thesetrue.
Completethesenumbersentences.
Completethesenumbersentences.
Completethesenumbersentences.
D Let’stalk!
Whatstrategiesdidyouusetosolvethenumber sentencesabove?
Whattipscouldyougivea friend?
NumberlessStories
Foreachnumberstory,choosesuitabletwo-digitnumbers, writeaquestion,andthen…Buildit!Sketchit!Writeit!
1. Thereare childrenontheclimbers. childrenleave. Howmany
Buildit! Usematerials. Sketchit!
123
123 ©TheEducationalCompanyofIreland
Writeanumber sentence.
2. Thereare childrenattheslides. moreareattheswings. Howmany
Buildit! Usematerials. Sketchit!
123
Writeanumber sentence.
3. Thereare childrenintheplayground. leave arrive. Howmany
Buildit! Usematerials. Sketchit!
Writeanumber sentence.
Mathseyes
Look around!Usewhatyoucanseetocreateyourownwordproblem. Swapwithapartner,andask themtosolveit.
Trythis! Fillinthemissingdigitstomake thesetrue. UseBuildit!Sketchit!Writeit!toproveyouranswer.
Trythis! Iread pagesyesterday.Today,Ihaveread pagesmore.HowmanypageshaveIreadintotal?
Buildit! Usematerials. Sketchit!
123
SubtractingwithRenaming
Crossoutblockstosolvethese. 1.
Usethecolumnmethodtosolvethese.
Trythis! Completethistomake anumberstorywithrenamingin twocolumns. Dararead pages.Miaread pages. HowmanymorepagesdidDarareadthanMia?
Buildit! Usematerials. Sketchit!
Writeit!
SummerTime
Let’stalk!
Agroupof peoplewereaskedwhatistheir favourite summerholidaydestination.Theseweretheirchoices:
Title: Favouritesummerholidaydestinations
Italy
Spain
France
Portugal
Greece
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51015202530
Makeupsentencesaboutthegraph.Usethe followingwords:
mostpopularleastpopularequallypopularhalf twice
Whomightbeinterestedinthisinformation?
Whatstrategiescouldyouuseto findouthowmanypeoplewere inthegroup?
Look whatisinsideeachmoneybox!Writethevalueof eachrow.
1.
Trythis! Look atactivity
1. Howmuchistherealtogetherinmoneybox1?€ .
2. Howmuchistherealtogetherinmoneybox2?€
3. Howmuchistherealtogetherinbothmoneyboxes?€ . ©TheEducationalCompanyofIreland
Thepool
1. Work outthearea. A= squnitsB= squnits C= squnitsD= squnits
2. Use>,<or=.A BB C
D Writethetotalnumberof pageseachpersonreadontheirholidays.
Week 1143pages111pages100pages89pages
Week 228pages67pages99pages55pages
Total: Howmanymorepagesdoestheboyneed toreadto finishhis200-pagebook?
Let’screate!
Writethreequestions foryourpartner inyourcopybasedonthissign.
Example: Whatisthecheapestitem?
STEMChallengesandInvestigations
DesignandMakeCycle
1. Explore Think aboutwhatyoucoulddesignandmakeasasolution.
● Whatdoyouneedtodo?
● Look attheavailablematerials.Whatwillyouuse?
● Howwillyoudoit?
2. Plan Plananddesignyoursolution.
● Drawitout.
● Writealistof whatwillbeneeded.
● Discussitwithyourgroupandexplainyourreasons.
3. Make Usingtheplanandcriteria,makeorbuildyoursolution.
4. Evaluate Testyoursolution.
● Doesitsatisfythecriteria?
● Howwelldoesitwork?
● Howcoulditbeimproved?
Designandmakearamp.
Criteria: Thelengthmustbebetween50cmand 100cm.Itmustbestrongenoughandwideenough for atoycar(max:3cmwideand8cmlong)totravelonit. Itmustbemade fromjunk materials.
1. Explore 2. Plan 3. Make 4. Evaluate
Let’sinvestigate!
Look atDara,MiaandLexi.
Ithinkthecarwillgo fartherifwemake theramphigher.
Whatdoyouthink?
Howcouldyouinvestigatethis?
Ithinkthecarwillgofarther ifwemaketheramplower.
Idon’tthink itmakes a difference.
©TheEducationalCompanyofIreland
UsetheInvestigationPlanningSheet(PCM3)tohelpyou.
Designandmakeabridge.
Criteria: Thelengthmustbebetween30cmand50cm. Itmustbestrongenoughtoholda 1 4 kgweightplaced atitscentre.Itmustbemade fromjunk materials.
1. Explore 2. Plan 3. Make 4. Evaluate
©TheEducationalCompanyofIreland
D Let’sinvestigate! Whichballisthebounciest?
Look atDara,MiaandLexi.
Ithinkthe smallestballwill bethebounciest.
Ithinkthelightestball willbethebounciest.
Ithinkit’snot aboutweight orsize,but somethingelse.
Whatdoyouthink?Howcouldyouinvestigatethis?
UsetheInvestigationPlanningSheet(PCM3)tohelpyou.
Designandmakeamazeoranobstaclecourse forabot.
Criteria: Thebotmustbeabletoenterthemazeonone sideandexititonanotherside.Thebotmustbeableto turnatleasttwicebetweentheentranceandtheexit. Thepathsmustbewideenough forthebot.(Hint:For everymove,mostbotsneedaspaceof 15cmby15cm).
1. Explore 2. Plan 3. Make 4. Evaluate
Let’sinvestigate!
Work outthedirectionstogetthebotthroughthemazeorobstacle course.Istheremorethanonewaytodothis?If yes,whatisthemost efficientway(usingtheleastdirections)?
Challenge: Thebotmusttravelbackwardsalltheway fromthe entrancetotheexit!Writethedirections.
Let’splay!
Oddsand Evens
©TheEducationalCompanyofIreland
Numberof players: 2
Youwillneed: mini-whiteboardandmarkerperplayer,onediceora1−6 spinner,pencilandpaperclip
● OneplayerisnamedODDandtheotherisnamedEVEN.(Theperson whosebirthdayisnextcanchoose.)
● ODDshouldthrowthediceorspinthespinner.If thenumberisodd, theyscoreapoint.If thenumberiseven,theygetnothing.
● EVENshouldthenthrowthediceorspinthespinner.If thenumberis even,theyscoreapoint.If thenumberisodd,theygetnothing.
● Thewinneristheplayerwiththehighestscoreaftertenturnsorwhen thetimeisup.
Oddsand Evens Totals
Numberof players: 2
Youwillneed: mini-whiteboardandmarkerperplayer,twodiceora1−6 spinner,pencilandpaperclip
● OneplayerisnamedODDandtheotherisnamedEVEN.(Theperson whosebirthdayisnextcanchoose.)
● ODDshouldthrowbothdiceorspinthespinnertwice,andtotalthe numbers.If thetotalisodd,they keepthatscore.If thetotaliseven, theygetnothing.
● EVENshouldthenthrowbothdiceorspinthespinnertwice.If thetotal iseven,they keepthatscore.If thetotalisodd,theygetnothing.
● Thewinneristheplayerwiththehighestscoreaftertenturnsorwhen thetimeisup.
Pig
Numberof players: 2−6
Youwillneed: mini-whiteboardandmarkerperplayer,twodiceora1−6 spinner,pencilandpaperclip
● Eachplayer,inturn,shouldthrowbothdiceorspinthespinnertwice, andtotalthenumbers.
● Aplayercan keepthrowing/spinningandtotallinguntiltheydecideto stop.Theyshouldwritedownthetotalandaddittotheirscore from previousrounds.
● Butif aplayerthrows/spinsa1,theyscore0 forthatround,anditisthe nextplayer’sturn.
● Evenworse,if aplayerthrows/spinstwo1s,notonlydoestheirturnend, buttheirentirescorereturnsto0!
● Thewinneristheplayerwiththehighestscorewhenthetimeisup.
ChanceCalculations−AddingOnes
Numberof players: 2−6
Youwillneed: mini-whiteboardandmarkerperplayer,0−9spinner,pencil andpaperclip
● Eachplayershoulddrawtheseboxes foracalculation ontheirmini-whiteboard.
● If youspina0inthisgame,youcanspinagain.
● Eachplayer,inturn,shouldspinthespinner,andwritethe numberintooneof theirboxes.
● Whenalltheirboxesare full,theplayersmustcalculatetheirtotal.
● Theplayerwiththegreatesttotal/answerscoresapoint.
● Thewinneristheplayerwiththehighestscorewhenthetimeisup.
Variations
● Draw fourboxesandspin for fourdigitstomaketwo two-digitnumbers.
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● Makethreetwo-digitnumbers, usingsixboxesandsixdigits.
End-of-yearChallenge
Inpairs,chooseatask belowandplanhowtocompleteit.
UseBuildit!Sketchit!Writeit!toshowatleastonewaytodothis.
Afterwards:
● Explainwhyyoudiditthisway.
● Compareyourplanwiththatof others.
● Canyouprovethatyourplanisthebestone?
Schooltour
● Yourclassisgoingbowling.
● Organisethechildrenintogroups.
● Eachbowlinglanemusthave five or fewerchildren.
● If thereareboysandgirlsinyour class,thereshouldbeamixof boysandgirlsoneachlane.
● Nolaneshouldhaveonlyonegirl oronlyoneboy.
● Howmanylaneswillyouneedtobook?
Party
● Youareplanninganend-of-year classparty.
● Thereare24 childrenintheclass.
● Youhaveabudgetof €70to spendondrinks,chipsandpizza.
● Showhowyouwouldplanto spendthemoney.
1largedrink (2litres)costs€3.
1largechipscosts€5.
©TheEducationalCompanyofIreland
1largepizza(10slices)costs€9.
MyMaths FactFile
Number(seeUnits1,2,3,7,8,12and19)
Place value
1ten= ones
1hundred= tens
Evennumbers
Whatisthesameaboutalloftheevennumbers?
Whatisthesameaboutalloftheoddnumbers?
Inoticethatall oftheanswersto thedoublesare numbers.
Inoticethatallof theanswerstothe neardoublesare numbers.
Symbols
meansadd,plus
meanssubtract,takeaway,minus meansisthesameasorisequalto meanslessthan meansgreaterthan
Thisisa pattern. Thecoreofthepatternisred,green,yellow,green.
Thisisa pattern.Thepatternis getting eachtimeby .
Thisisa pattern.Thepatternis getting eachtimeby .
Whatpatternsdothe shapesshow?
Thenumberswitha aremultiplesof .
Thenumberswitha aremultiplesof .
Thenumberswitha aremultiplesof .
Continuetheshapesto showallthemultiplesin eachpatternupto100.
Doyouseeother patterns?Chooseaway toshowthem.
Oneweek has days.
April,June,September andNovemberhave days.
Februaryhas or days.
Allof theothermonths have days.
Measuring
100cm= m
100centimetres= metre
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2-Dshapes
Howmany…
3-Dshapes
Howmany…
streetviewaerialview Turns
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forwards turnrightturn
fullturnclockwise
turnanticlockwise
turnclockwise
turnanticlockwise
Whatmove?
Howwaseachpentominomoved?Writethecorrectword foreach. slideturn flip