Suggested ortnightl Plan 1 Topics 1 2 ortnight 1 - Planet Maths...

Suggested Fortnightly Plan 1 - Topics 1 & 2 Fortnight 1

Resources• Squaredpaper,100square

• Notationboards,placevaluemats,calculators,bills

• FolensPlanetMathsonlineactivities

Assessment• Teacherobservation

• Pupilparticipation

• Endofweekprogressassessmenttest

Integration • SESEHistory

• SESEGeography

• English

DifferentiationLower attainers:Separateactivitysheet

Higher attainers:Separateactivitysheet

Strand• Number

Strand units• PlaceValue

• Operations

Skills and concepts• Applyingandproblem-solving• Communicatingandexpressing• Integratingandconnecting• Implementing

Estimation/Problem solving• Askthechildrentosuggesteverydaysituationsthatinvolvethousands,tensofthousands,hundredsofthousands,andmillionsofpeople.

• Placevalueisadifficultconceptforchildren.Giveadequatetimetorevisemateriallearnedpreviously,e.g.placevalueupto99,999(4thclass)andupto999,999(5thclass).

• Revisetheconceptofplacevaluebyexplainingthevalueofeachdigitinwordsandinfigures,e.g.964,823.Thedigitontherightrepresentsunits.Eachplacetoitsleftrepresentsavalue10timesgreater.Sowehave3tens,2units,8hundreds,4thousands,6thousandsand9hundredthousands.

• Givethechildrenplentyoftimetopractisewritinglargenumbersinwordform.

• Remindthechildrenofthevalueofeachnumberandtheimportanceofaligningthedigitsaccordingtotheirvalue.

• Usenumbercardstomakethesmallestandlargestnumberspossible.

Objectives Tick Date• Identifyplace-valueinwholenumbers.

• Addandsubtractwholenumbersanddecimals(to3decimalplaces)withandwithoutacalculator.

Mathematical language, and talk and discussion• Unit,ten,hundred,thousand,tenthousand,hundredthousand,million,placevalue,digit,number,zero,order,least,greatest,more,less,round,insert,writinginexpandedform,notationboard,petitions

• Addition,subtraction,add,plus,findthesumof,total,profit,greatestprofit,findthedifferencebetween,minus,takeaway,sign,calculate,decreaseby,increaseby,round,estimate,equals,altogether,more,less,combinedprofit

11Planet Maths Teacher Resources • 6th Class

Use of the environment• Heightofmountains,depthsofoceansandseas,distancesbetweencities,etc.

• Useashoppingcataloguetoaddupashoppingbill,subtractthebillfromthecustomer’smoney.

• Useaninternetshoppingsiteoracataloguetoestimatepricesofafewitems.


Suggested Fortnightly Plan 3 - Topic 4 & 5

12 Planet Maths Teacher’s Resource Book • 3rd Class

Fortnight 1

ResourcesStrand

• Number

Strand units• Operations

• Fractions

Skills and concepts• Reason,investigateandhypothesisewithpatternsandrelationshipsinmathematics.

• Applymathematicalconceptsandprocesses,andplanandimplementsolutionstoproblemsinavarietyofcontexts.

• Makemathematicalconnectionswithinmathematicsitself,throughoutothersubjectsandinapplicationsofmathematicsinpracticaleverydaycontexts.

• Recallandunderstandmathematicalterminology,facts,definitionsandformulae.

Estimation/Problem solving• Roundingtoestimateaddition/problem-solvingskills:addition.

Concrete activities• Notationboardsrequirethechildtoplacemarksorcountersinthecorrectposition.Ifusingcounterseachchildwillneedupto36counters.

• Thisunit’scalculatorsectionisthechild’sfirstformalintroductiontothecalculator.Itiseasybutincorrecttoassumethatallchildrenwillunderstandintuitivelyhowtooperateacalculator.Oneofthemostcommonmistakesisenteringincorrectnumbersonthekeypad.

Use of the environment• Roundingandestimatingstrategies:Abouthowmuchwilltheshoppingcost?HowmanylitresoffuelshouldIbuyforthecar?HowfarisfromheretoAuntyMary’shouse?Theemphasisshouldbeon‘sensible’answers.

Mathematical language, and talk and discussion• Numeral,value,round,ordinalnumber

• Estimate,increase


Resources• Graphpaper,colouredpensandpencils,rulers,selectionofgraphsfromtheinternet/newspapers/advertisements/magazines

• Unitcubes,notationboards,placevaluemats,abacus,coins





Integration • SESEHistory

• SESEGeography



Strands• Data

• Number

Strand units• RepresentingandInterpretingData

• Multiplication

Concrete activities• Shoppingcatalogues,shoppingbills,grocerybills

• Selectionofgraphsfromtheinternet,newspapers,advertisementsandmagazines

Objectives Tick Date• Collect,organiseandrepresentdatausingpiechartsandtrendgraphs.

• Readandinterprettrendgraphsandpiecharts.

• Compileandusesimpledatasets.

• Exploreandcalculateaveragesofsimpledatasets.

• Usedatasetstosolveproblems.

• Multiplyadecimal(upto3places)byawholenumber,withandwithoutacalculator.

Use of the environment• Lookinguptrendgraphsinthemedia,ontheinternet,newspapers,magazines.• Trendgraphsusedbypoliticalpartiestoconveyinformation.

Skills and concepts• Applyingandproblem-solving

• Communicatingandexpressing

• Implementing

• Reasoning

• Integratingandconnecting

Mathematical language, and talk and discussion• Bar-linegraph,average,calculatetheaverage,graph,trendgraph,points,forecasting,trends,predict,future,increase,decrease,data,randommanner,horizontalline,verticalline,variables,title,trendanalysis,x-axis,y-axis,information

• Longmultiplication,rounding,digit,decimalpoint,wholenumber,decimalplace,1/2/3decimalplaces,ignore,countinfromtheright,decimalnumber,averageweeklyearnings,singleroom,doubleroom,twinroom,rows,estimate,placesofdecimals

Estimation/Problem solving• Compileinformationontopicsofinterestfortheclass,e.g.rainfallpermonth,modesoftransporttoschool,amountoftimespentdoinghomework,mostpopularsportortelevisionprogramme.Makeaquestionnairethatthechildrencanusetographtheresultsoftheinformation.

• Usinganinteractivewhiteboardorcomputer,showthechildrenhowtoinputthedataandhowtodrawatrendgraphwiththecomputer.

• Discusswhytrendgraphsaresousefulinshowingdatawhichmaychangeovertime.• Revisethemultiplicationtablescontinuously.

• Practicelongmultiplication.• Instilinthechildrenthefactthatwhenitcomestomultiplyingdecimalsweignorethedecimalpointuntilafterthecalculationhasbeencompleted.




Resources• Protractor,ruler,pencil,compass,flashcardswithdirectionalwords,splitpins,cardboardclocks

• Notationboard,placevaluemat,abacus,cubes





Integration • Art

• PE

• SESEGeography


Higher attainers: Separateactivitysheet

Strands• ShapeandSpace

• Number

Strand units• LinesandAngles

• Division

Estimation/Problem solving• Discussthetypesofanglesinthe2Dshapeswhichhavebeenstudiedonthemathscourse.

• Makeangleswithsplitpinsandcardboardarms.

• Emphasisetheimportanceofkeepingthedecimalpointoftheanswerinlinewiththedecimalpointofthequestion.

• Estimatingtheanswerbeforetacklinganysumistoberecommendedsothechildcanseeiftheiranswermakessense.

Concrete activities• Howmanytimesadaydoestheclockformrightanglesorstraightlines?

Use of the environment• Playthegame‘Guesstheangle’inpairs.

• Namedecimalslessthan1butmorethan½.Namedecimalsmorethan2butlessthan2¾.Putdecimalnumbersonsmallcards.

• Orderthecardsstartingwiththesmallest,andthenstartingwiththebiggestdecimalnumber.

• Putthedecimalnumbersintheircorrectplaceonthenumberline.

Mathematical language, and talk and discussion• Parallel,perpendicular,horizontal,vertical,angles,acuteangle,rightangle,obtuseangle,straightangle,reflexangles,degrees,measureangles,insidescale,outsidescale,centrepoint,constructingangles,quadrilateral,rotation,compasspoints,clockwise,anti-clockwise

• Remainder,rounding,digit,longdivision,share,equally,theproductofanumber,divide,evenly,groupsof,estimate,placesofdecimals,leftover,round,divisible,quotient,divisor,dividend

Objectives Tick Date• Recognise,classifyanddescribeanglesandrelateanglestoshape.

• Recogniseanglesintermsofrotation.

• Estimate,measureandconstructanglesindegrees.

• Explorethesumoftheanglesinquadrilaterals.

• Dividea4-digitnumberbya2-digitnumber,withandwithoutacalculator.

• Divideadecimalbya2-digitnumber.Skills and concepts• Applyingandproblem-solving



• Implementing

Suggested Fortnightly Plan 4 - Topic 7 & 8 Fortnight 4

Resources• Fractionalcubes,fractionwallchartupto1/12infamilygroups,unitcubes,3Dflats,3Dthousandcubes,squaredpaper,tangramset

• Protractor,ruler,compass,pencil,colouredpaper,squaredpaper,2Dshapes





Integration • Art

• Music

• SESEGeography

• SESEHistory

• SESEScience

• Cookery



Strands• Number• ShapeandSpace

Strand units• Fractions• 2DShapes


• Reasoning


• Implementing

• Integratingandcommunicating

Estimation/Problem solving• Makeoutaclasstimetableandestablishwhatfractionofeachdayisdevotedtothevarioussubjects.

• Classifyshapesusingdifferentcriteria,e.g.sizeofangles,etc.Usetangramstomakepolygons.

Objectives Tick Date• Compareandorderfractionsandidentifyequivalentformsoffractions.

• Expressimproperfractionsasmixednumbersandviceversaandpositionthemonthenumberline.

• Addandsubtractsimplefractionsandsimplemixednumbers.

• Expresstenths,hundredthsandthousandthsinbothfractionalanddecimalform.

• Makeinformaldeductionsabout2Dshapesandtheirproperties.

• Useangleandlinepropertiestoclassifyanddescribetrianglesandquadrilaterals.

• Constructtrianglesfromgivensidesorangles.

• Tessellatecombinationsof2Dshapes.

• Classify2Dshapesaccordingtotheirlinesofsymmetry.

• Use2Dshapesandpropertiestosolveproblems.

Use of the environment• ConductaclasssurveyofwhichTVprogrammesarepopularamongthechildrenintheclass.Thechildrencouldmakeapiechartoftheresults.

• Ontheinternetexaminebridgesandbuildingstoseewhich2Dshapesareevidentintheirconstructionandoutwardappearance.

Mathematical language, and talk and discussion• Fraction,partofawhole,equalparts,numerator,denominator,equivalentfractions,simplifyfractions,cancelling,putfractionsinorder,mixednumber,viceversa,wholenumber,(im)properfraction,correctgrouping,orderfractions,comparefractions,tenths,hundredths,thousandths,samedenominator,fractionalform,commondenominator,lowestcommondenominator,biggestfraction,smallestfraction

• Equilateraltriangle,isoscelestriangle,scalenetriangle,right-angledtriangle,rhombus,square,rectangle,parallelogram,trapezium,kite,polygon,closedshapes,nonagon,regularpolygon,irregularpolygon,quadrilateral,extend,angle,symmetrical,line(s)ofsymmetry,decagon,heptagon,octagon,oval,trapezium,tessellating,protractor

Concrete activities• Namedecimalslessthan2butmorethan2½andmorethan4butlessthan4¾.

• Discusstheoriginsofthenamesofthe2Dshapesandthemeaningsofthewordswhichgiveacluetotheirshapee.g.‘quad’,‘octo’,‘deca’,‘nona’,‘pentagon’.



Resources• Fractionwalls,fractionalcubes,fractionwallchartupto1/12infamilygroups,unitcubes,tangramsets,playingcards,equivalentfractioncards

• Rulers,100squares,abacus,base10blocks,unitcubes,coins,placevaluediagrams,cardswithequivalentfractionsanddecimals,





Integration • Art

• SESEGeography

• Cookery

• Music



Strand• Number

Strand units• Fractions

• Decimals




• Implementing

Concrete activities• Namethedecimalswhicharemorethan 6

10butlessthan1,etc.

• Placedecimalsandfractionsintheirrightfulplaceonthenumberline.Makequizzesbasedonthis.

Objectives Tick Date• Multiplyafractionbyafraction.

• Divideawholenumberbyaunitfraction.

• Read,writeandorderdecimals.

• Identifyplacevalueindecimals.

• Rounddecimals.

• Changefractionstodecimalsandviceversa.

• Addandsubtractdecimals(to3decimalplaces),withandwithoutacalculator.

Use of the environment• Beawareoftheuseofdecimalsintheworldofsport,e.g.laptimes,racetimes,extratime,injurytime.

• Parentscanhelpchildrenbycheckingiftheycancutfooditemsintovaryingfractions,e.g.tenths,eighths,twelfths,sixths,etc.aswellasdistributingrequiredamounts,e.g.cuttingacakeintotenthsandremoving 7

10ofthecaketoaplate.

Mathematical language, and talk and discussion• Numerator,denominator,simplify,crossmultiplication,fractionofanumber,unitarymethod,simplifyafraction,awholenumber,opposite,invert

• Decimalnumber,decimalpoint,wholenumbers,tenths,hundredths,thousandths,placevaluediagram,fractionform,simplestfractionform,numerator,denominator,decimalfraction,largestfraction,largestdecimal,smallestdecimal,digit,magicsquares,roundingto2decimalplaces,roundingto1decimalplace,roundingtothenearestcent



Resources• Calculator,squaredpaper,pegboard,100squares

• Calculators





Integration • SESEGeography

• SESEScience

• PE



Strand• Number

Strand units• NumberTheory

• Multiplication

Estimation/Problem solving• UseapegboardoraGeoboardtoshowsquarenumbers,e.g.16,100,25.

• UseapegboardoraGeoboardtoshowcompositenumbersinafewdifferentways,e.g.32=8x4.

• IdentifyandrecordprimenumberswiththeSieveofEratosthenes.

• Withtheclass,planaschooltourfor29children.Estimateandcalculatethecostofthetrip.

Objectives Tick Date• Identifysimpleprimeandcompositenumber.

• Identifyandexploresquarenumbers.

• Identifyandexploresimplesquareroots.

• Identifycommonfactorsandmultiples.

• Writewholenumbersinexponentialform.

• Multiplyadecimalbyadecimal,withandwithoutacalculator.

Mathematical language, and talk and discussion• Primenumber,factor,oddnumber,evennumber,predict,compositenumber,classify,squarenumber,squareroot,5squared,7thsquarenumber,exponentialform,exponents,indices,2cubed,findthevalueof,megabytes,gigabytes,terabytes,multiples,lowestcommonmultiple,firstsixmultiples,factorpairs,commonfactor,highestcommonfactor,thepowerof4,product

• Ignore,decimalpoint,decimalplace,perimeter,centreline,equivalentto,centrepoint,findtheproductof,‘countin’thedecimalplacefromtheright,zero,digit,estimate



• Integratingandconnecting• Reasoning

Concrete activities• Ensurethatthechildrenrealisethedifferencebetween(3x2)and(32).• Givepracticeinwritingnumbersinpowerforme.g.26=2x2x2x2x2x2.

• Posementalandwrittenquestionsbasedonarea.Moredifficultquestions(basedonthepreviousquestion)canbeputtothechildrenwhentheyusecalculators.

• Planabirthdayparty/Christmasshoppinglistonabudget.

• Usecubestosolve‘Solveit!’onpage75.

Use of the environment• Observingprimenumbers,bingonumbers,squarenumbersinoureverydaylives,compositenumbers,housenumbers,telephonenumbers,etc.

• Calculateaweeklyshoppingbillforthefamilybuying28litresofmilk,8boxesofcereal,7packetsofmeat,3packagesofcheese,etc.Thechildrencouldlookupthepricesfromdifferentstorestofindthecheapest/mostexpensiveplaceinwhichtoshop,etc.



Resources• Calculators,rulers,pencils,trundlewheels,measuringtapes,maps,houseplans

• Calculator,restaurantbills,runningtimesofathletes






• PE

• SESEScience



Strands• Measure

• Number

Strand units• Length

• Division




• ReasoningEstimation/Problem solving• Dividetheclassintogroupstoestimateandmeasureperimeteroftheschoolyard,footballpitch,schoolhall,schoolcorridorandclassroom.Then,calculatetheareaofeach.Makeascaleplanofyourschoolusingthecombinedmeasurements.

• Abillforarestauranthastobedividedevenlybythenumberofdiners.Calculatewhateachdinerhastopay.Varythenumberofdinersandtheamountonthebill.

Objectives Tick Date• Selectanduseappropriateinstrumentsofmeasurement.

• Renamemeasuresoflength.

• Estimateandmeasuretheperimeterofregularandirregularshapes.

• Useandinterpretscalesonmapsandplans.

• Multiplyanddivideunitsoflength.

• Divideadecimalnumberbyadecimalnumber,withandwithoutacalculator.

• Divideadecimalnumberbyawholenumber.

Mathematical language, and talk and discussion• Millimetre,centimetre,metre,kilometre,trundlewheel,measuringtape,kmgauge,ruler,perimeter,regularshape,irregularshape,unitsoflength,convert,scaledrawing,aerialphotograph,instrumentofmeasurement,unitofmeasurement,decimalform,visualestimation,distance

• Theproductof,divisor,decimalnumber,wholenumber,average,averagescore,findthedifferencebetween,findtheproductof,numberwith3decimalplaces


Use of the environment• Lookatamapofthelocalarea.Basedonthescale,calculatethedistancesbetweentheschoolandotherbuildings,e.g.church,library,newsagent,busstop,garage,nearesttown.

• Afamilyisgoingonholidays,calculatehowtodividethe10kgbaggageallowance.

Concrete activities• Makeascalecardboardmodeloftheschoolbasedonthemeasurementstakenandonthescaleplan.

• Studythetimesofathletesrunningarace.Calculatetheaveragetimetakentocompletetherace.


Resources• 100squares

• Stopwatch






• Englishlanguage

• PE


Higher attainers:Separateactivitysheet.Differencebetweenapercentageincreaseandanincreasebyafixedamount.Questionsonthespeedoflight,etc.

Strands• Number

• Measure

Strand units• Percentages

• Time

Skills and concepts• Applyingandproblemsolving• Communicatingandexpressing• Implementing

Estimation/Problem solving• Discusspercentagesineverydaylife–howcommontheyare,howeasytheyaretoconceptualiseespeciallyintermsoflargenumbers,e.g.fareasiertounderstandthat80%ofvoterswereinfavourthanitistounderstandthat50,232of62,790voterswereinfavour.

• Whenbuyingairlinetickets,flighttimesarealwaysquotedinlocaltime.EvenifyoubuyyourticketsinIrelandforareturnflighttoNewYork,theflighttimesfromNewYorkarelocal.Discusswhythisisasensiblearrangement.

Concrete activities• Internationaltime–usingatlasesandtimetablestoexamineinternationaltimezones/drawingonpupils’ownexperiencesofforeigntravel.

Objectives Tick Date• Usepercentagesandrelatethemtofractions.

• Compareandorderpercentagesofnumbers.

• Exploreinternationaltimezones.

• Exploretherelationshipbetweentime,distanceandaveragespeed.

Use of the environmentThinkofwaystomakeourhomegreener(usingpercentages),reduceelectricitybillsbyx%/recyclex%morepaperandglass/decreasewaterusebyx%nextmonth/reducecarbonfootprintbyx%/walkto____x%moreoften...

Mathematical language, and talk and discussion• Percent,perhundred

• Internationaltime,elapse,localtime



Resources• 100square,calculator

• Instrumentstomeasurelength





Integration • SESEScience

• SESEGeography


Higher attainers:Separateactivitysheet.Whattypeofrectangleyieldsthegreatestareaforthesmallestperimeter?

Strands• Number

• Measures

Strand units• Percentages

• Area




• Implementing

• Understandingandrecalling

Concrete activities• Oneofthemostcommonmistakesmadebychildrenistoforgettoinsertthedecimalpoint,thereforeestimatingisanimportantskillandshouldbepractised.

• Makeasquaremetrefromnewspaperanduseittocompareareasthatarelongandnarrowwithareasthatarealmostsquare,etc.aroundtheschool.

Objectives Tick Date• Usepercentagesandrelatethemtodecimals.

• Compareandorderpercentagesofnumbers.

• Solveproblemsrelatingtoprofitandloss,discount,VAT,interest,increasesanddecreases.

• Recognisethattheperimeterofarectangularshapedoesnotdetermineitsarea.

• Calculatetheareaofregularandirregular2Dshapes.

• Measurethesurfaceareaofspecified3Dshapes.

• Calculateareausingaresandhectares.

• Identifytherelationshipbetweensquaremetresandsquarecentimetres.

• Findtheareaofaroomfromascaleplan.

Mathematical language, and talk and discussion• Theterms‘squaremetres’and‘metressquare’arenotinterchangeable.Thecorrecttermwhenreferringtoanareainm2issquaremetres.Theterm‘metressquare’isusedinthefollowingcontext:Aroomis6metressquare.Whatisitsarea?

• Increase,decrease

• Perimeter,are,hectare


Use of the environmentWhichroominyourhomehasthelargest/smallestarea?Thinkofsomethinginyourlocalitywithanapproximateareaof1areor1hectare.Whichwindowinyourhousehasthegreatestsurfacearea?Doallthedoorsinyourhomehavethesamesurfacearea?


Resources• Counters,colouredcubes

• Dice,spinners,bag,cubesofdifferentcolours





Integration• Cooking

• History

• SESEScience

• Englishlanguage



Strands• All/Number

• Data

Strand units• All/Fractions• Chance

Estimation/Problem solving• Ratioisacompletelynewtopicfor6thclassstudents.Therefore,theteachershouldshowpupilsasimpleshapedividedintoe.g.4equalpieceswith1pieceshaded.Thepupilscouldbeintroducedtotwodifferentwaysofdescribingtheshapeusing‘inevery’and‘forevery’statements.Provideacollectionofcountersandpractisenaming‘inevery’and‘forevery’statements.Askthepupilstopractisemakinguptheirown‘inevery’and‘forevery’statementsusingtheclassroomasabasis.Forexample,‘thereare2girlsforeveryboyinourclass’or‘thereis1teacherforevery30pupilsinourschool’.

Concrete activities• Showchildrenhowif1inevery3cubesisred,then2inevery6cubesisredor3inevery9cubesisredandsoon.Thissamepatternfollowsin‘forevery’statementsaswell.Childrenshouldnoticethatthepatternfollowsthemultiplicationtables.

• Simulationactivitiesareanenjoyablewaytoexploreprobability,e.g.vendingmachine,experimenttoshowthatthrowingthenumbers1–6inanyorderinjust6throwsofadiceishighlyimprobable.

Objectives Tick Date• Understandandusesimpleratios.

• Developstrategiesforproblemsolving.

• Identifyandlistallpossibleoutcomesofsimplerandomprocesses.

• Estimatethelikelihoodofoccurrenceofevents.

• Orderonascalefrom0to100,0to1%.

• Constructandusefrequencychartsandtables.Use of the environment• Givesomeexamplesofreal-liferatioquestions,e.g.theturkeymustbecooked50minutesforeverykg.Howlongdoesittaketocooka6kgchicken?

Mathematical language, and talk and discussion• Ratio,strategy,estimate,reverse,logically,keywords,comparison,lowestterms,sharingunequally,largershare,simplifytheratio

• Thelanguageofprobabilitycanmakeuppartofatleastonelesson,e.g.describesomethingimprobable,namesomethingimprobablethatactuallyhappened.

• Noteonuseofthewords‘die’and‘dice’–theuseoftheword‘dice’asbothsingularandpluralisquiteacceptable.

• Improbable,predict

Skills and concepts • Applyingandproblem-solving


• Integratingandconnecting• Implementing



Resources• Calculators,catalogues,pricelists,currentforeigncurrencyexchangerate,supermarketpriceflyers,newspaperadvertisementsoflargeelectricalgoodsforsaleincludingVAT,examplesofbillsandreceiptsthatincludeVAT,discountstorecatalogues,internetshoppingsites,bankstatements,picturesorexamplesofdifferentcurrencies

• Numberlines(+and–)


Assessment• Teacherobservation• Pupilparticipation• Endofweekprogressassessmenttest


• Business/Finance

• SESEHistory

• Music

• Art

• SESEScience



Strands• Measures

• Algebra

Strand units• Money

• DirectedNumbers

Estimation/Problem solving• Thehistoryofmoney.

• Calculatethecostofthebillfromashoppinglist,calculatethechangefromvariousamountsofmoney.Dividethecostofabillamongvariousnumbersofpeople.

• Somechildrenmayfinditdifficulttoconceptualisethat–4isgreaterthan–7.Drawingthenumberlineverticallymayhelpthemtoseethatthehigherthepositionofthenumberthegreateritsvalue.

Concrete activities• Convertforeignmoneytoeuroandviceversausingcurrentratesofexchange.• MakeupabillforvariousoccupationstoincludeVAT.Givethebilltoachildintheclasswhomustcalculatethetotalbill.

• Usefloorlevels(storeys,basements)andelevatorstohelpchildrenunderstandtheconceptsofpositiveandnegativenumbers.

Objectives Tick Date• SolveproblemsrelatingtoVAT.

• Explorevalueformoney.

• Convertothercurrenciestoeuroandviceversa.

• Identifypositiveandnegativenumbersonthenumberline.

• Addsimplepositiveandnegativenumbersonthenumberline.

Mathematical language, and talk and discussion• Bill,supermarketflyers,pricedifference,leastpricedifference,greatestpricedifference,VAT(valueaddedtax),priceincludingVAT,priceexcludingVAT,converteuro,currency,foreigncurrencies,budget,budgeted,estimatedcost,actualcost,exchangerate,sterling,dollar,SouthAfricanrand,yen

• Altitude

21Planet Maths Teacher Resources •6th Class

Use of the environment• Internet/onlineshopping/brochures/shoppingcatalogues/eBayandhowtheywork.

• Creditcardbills/showingthechildrenhowhightheinterestisoncreditcards.

• Childrenwillbeawarethatpositiveandnegativeareusedinscienceandinelectricity.Thepolaritysigns+and–showthedirectioninwhichbatteriesshouldbeplacedinanappliance.Whathappensifoneormorebatteriesareinsertedincorrectly?Whatdoesitmeanto‘charge’abattery?Shouldnon-rechargeablebatteriesbeplacedinacharger?Childrenshouldberemindedthatitcanbedangerous(aswellasuneconomic)tousebatteriesofmixedchargeinanappliance.






Resources• Compass

• Calculator• FolensPlanetMathsonlineactivities




Integration • Art

• SESEGeography


Higher attainers:Separateactivitysheet.Inscribeatriangle.Lookforadsinthebuyandsellcolumnsofnewspapersanddedicatedmagazines.Childrencanbringinthesecolumnsandbasequestionsonthem.OnlinesellingsitessuchaseBaymaybeofinterest.


• Number

Strand units• 2DShapes

• Percentages

Skills and concepts• Implementing

• Recallandunderstandmathematicalterminology

• Reason,investigateandhypothesise

Estimation/Problem solving• Comparemoneyprofitandpercentageprofit.Forexample,whichisbetter:aprofitof€10oraprofitof10%?Thequestioncannotbeansweredbecauseit’sbeingaskedinavacuum.Itdependsonwhatwaspaidfortheitem.Iftheitemcost€50,thenthe€10profitispreferable(asa10%profitonlyequatesto€5).However,ifIpaid€400fortheitem,thenthe10%figurerepresentsagreaterprofit.

Concrete activities• Showthepupilshowtomanageacompass.It’sagoodideatofirstdrawadotonpapertorepresentthecentreofthecircle.Ifthecompassshouldslip,it’sthenaneasymattertoreturnthepointtothecentre.Emphasisethatwhendrawingacircle,a‘lighttouch’isbest–musheasiertomanoeuvrethecompass.Makesurethescrewholdingthejawsofthecompassisnotloose;otherwisethejawsmaywidenorclose.

• Accesstoacomputercanopenupmanypossibilities.MostoperatingsystemsincludeafreepaintprogramandtherearemanyfreedownloadsavailableontheInternet.Youwillfindaniconthatdrawsovals(ellipses).Holdtheshiftkeyasyoudrawtoensureacircle.

Objectives Tick Date• Identifythepropertiesofthecircle.

• Constructacircleofgivenradiusordiameter.

• Calculatetheareaofirregular2Dshapes.

• Solveproblemsrelatingtoprofitandloss,discount,VAT,interest,increases,decreases.

Use of the environment• Findexamplesofprofitandloss:perhapsanolderbrotherorsisterboughtandsoldabicycle,makingaprofitorloss/MumorDadmayhavetradedinacar/someoneathomemayhaveboughtorsoldonanonlinetradingsite.

Mathematical language, and talk and discussion• Inscribe,circumscribe,costprice,sellingprice



Fortnight 13

Estimation/Problem solving• Dividetheclassintotwoteamsandnamesomethingintheroom.TeamAhastoestimatetheweightoftheitemandannouncetheestimatetotheclass.TeamBhastosayiftheitemislighterorheavierthantheestimateannouncedbyteamA.Theweightoftheitemisthenmeasured.IfteamBisrightitisawardedapoint.OtherwiseteamAisawardedthepoint.TheincentiveforteamAistobeasaccurateaspossiblesothatitismoredifficultforteamBtojudge.

Use of the environment• Weighttrail,examinefoodstuffsinthefridgeorfoodpress.Choose8itemswheretheweightisshownonthepackaging.Notethenameofthefoodanditsunopenedweight.

• Whichitemsareheavybuthaveasmallsize?

• Canyoufindanitemthat’slightthathasalargesize.

• Ifwaterisaddedtofoodduringcooking,doesitmakeitlighterorheavier?

• Namesomefruitsandvegetablesthataresoldbyweight.

• Useweighingscalestoverifytheweightoftheitems.

Concrete activities• Forthecrosssectionactivities,cutthroughanappleororangeorshowthestudentsatreetrunkthathasbeensawnthrough.Itwillbeeasierforthemtounderstandthetask.Annualringsonatreetrunkmightmakeforaninterestingnaturediscussion.



• Implementing

Mathematical language, and talk and discussion• Perspective,octahedron

• Load-bearinglimit

Suggested Fortnightly Plan 13 - Topics 25 & 26Objectives Tick Date• Identifyandexamine3Dshapesandexplorerelationships,includingoctahedron(faces,edgesandvertices).

• Drawthenetsofsimple3Dshapesandconstructtheshapes.

• Selectanduseappropriateinstrumentsofmeasurement.

• Renamemeasuresofweight.


• Measures


• Weight

Resources• Assortmentof3Dshapes,lotsofcubes,stripsofpaper

• Weighingscales,weighingbalance,labelledweights





Integration • Art

• Science


Higher attainers:Researchworldrecords,usetheInternetorothersourcestofindweightrelatedrecords,heaviestappleevergrown(1.849kgatdateofpublication),greatestweightliftedbyweightlifter,heaviestEasteregg,heaviestfishcaughtinIreland.

Use of the environment• Signsandsymbolsathomeandintheworldaround,signlanguage,braille,keyboardsymbols,roadandtrafficsign,universalsigns,handandbodysignals,facialexpressions,gestures,ancientsymbolsandalphabets.

Mathematical language, and talk and discussion• Listofsymbols:$%^&*()“!/\etc.Whichonesdoyourecognise?Whatisitsnameandwheremightitbeusedorseen?

• Square(anumber)

• Average

Concrete activities• Experimentwith3numberquestionstoseetheeffectofhavingthebracketsindifferentpositionse.g.compare(9–5)–2with9–(5–2).

Objectives Tick Date• Knowsimplepropertiesandrulesaboutbracketsandpriorityofoperation.

• Identifyrelationshipsandrecordsymbolicrulesfornumberpatterns.

• Collect,organiseandrepresentdatausingpiechartsandtrendgraphs.

• Readandinterprettrendgraphsandpiecharts.

• Compileandusesimpledatasets.

• Exploreandcalculateaveragesofsimpledatasets.

• Usedatasetstosolveproblems.




• Reasoning

• Understandingandrecalling Estimation/Problem solving• Mostchildrenwillreadilyunderstandhowtocomputeanaverage.Someofthemmayfailonthetaskoffindingonenumberwhengiventheaverageandallbutoneofthenumbers.

• Usethisexampletoillustratehowtocomputeanaverage:theaverageof4numbersis20.Threeofthenumbersare5,6and8.What’sthefourthnumber?

• Acommonmistakeistoofferthenumber1asananswer.Childrenmayreasonthat5+6+8=19and20–19=1.Stresstheimportanceofcalculatingthetotal(4x20=80)first.Then80–19=61.

Strands• Algebra

• Data

Strand units• RulesandProperties

• RepresentingandInterpretingData


Resources• Protractor





Integration • Art

• SESEScience

• SESEGeography

DifferentiationLower attainers:SeparateactivitysheetHigher attainers:Theaveragetypediscussedinthischapteristhemostwidelyusedmeasureofcentraltendency:themean.Thereareotherwaystocomputeanaverage.1.Mode:Thisisthemostcommonlyoccurringelementinadataset.Forexample,themodeofthenumbers{4,3,3,8,8,9,3,6,4,2,3,3,1,8,7,7,7,3,3,6,6}is3becauseitoccursmostoften.2.Median:Thisisthepointhalfwaybetweenthehighestandlowestelementsofadataset.Forexamplethelowestandhighestelementsof{3,10,7,9,8}are3and10.Themedianis

3+10–32 =3+3.5=6.5(addthelowestnumbertohalfthedifference).



Fortnight 15Suggested Fortnightly Plan 15 - Topics 29 & 30

Use of the environment• Lookforgadgetsandappliancesthathavemicrochips-Gamesconsoles,fridge,mobilephones,clockradio,TV,DVDplayer,electronicmusicalinstruments,calculators,digitalcameras.

Mathematical language, and talk and discussion• Algebra(mathsinwhichlettersandsymbolstaketheplaceofnumbers;fromtheArabical-jabr–thereunionofbrokenparts),variable,equation,volume.Computerprogramsareendemicinmanyaspectsofmoderndayliving–remotecontrols,washingmachinecycles,ATMs,cars,computerequipment,airtrafficcontrol,trafficmanagement,games,timers,medicine,informationtechnology

• Survey:Estimatethequantityofwaterusedinyourhouseholdinaday:howmanytimesisthekettleboiled?Isthedishwasherusedeveryday?

Concrete activities• Somechildrenmayhaveadifficultyconceptualisingvariables.Explaintothemthattheyhavebeenworkingwithvariablesforyears!In1stclasstheywerepresentedwithquestionssuchas:4+___=9,whichisthesameas4+x=9.

• Capacity–Measuringquantitiesofwater/how,whenandwhyweneedtomeasurecapacity.

Objectives Tick Date• Exploretheconceptofavariableinthecontextofsimplepatternsandformulae.

• Substitutevaluesforvariables.

• Translatewordproblemswithavariableintonumbersentences.

• Solve1-stepnumbersentencesandequations.

• Selectanduseappropriateinstrumentsofmeasurement.

• Renamemeasuresofcapacity.

• Findthevolumeofacuboidexperimentally.


• Implementing


• Reasoning


Estimation/Problem solving• Childrenshouldhaveanabilitytoestimatequantitiesofwaterwithareasonabledegreeofaccuracy.Theyshouldalsoconsidertheamountofwaterconsumedeverydayandthemanywaysinwhichwaterisused.

Strands• Algebra

• Measures

Strand units• VariablesandEquations

• Capacity

Resources• Graduatedcontainers





Integration • SESEScience

• InformationandCommunicationTechnology

• SESEGeography

DifferentiationLower attainers:Useascalebalancetodemonstrateequality.Whateveractionhappenstoonesideofthebalance,thesamemusthappentotheotheriftheyaretoremainbalanced.It’sthesamefundamentalprinciplewithequations.Ifwetake4fromoneside,wemusttake4fromtheotherside.Ifweadd7toonesidewemustadd7totheotherside.

Higher attainers:Howmanywayscanyouthinkoftoinputdatatoamachine?Keyboard,mouse,voiceactivatedmicrophone,gamesjoystick,openingtheshutteronacamera,pressingabuttononaremotecontrol,makingaphonecall,sendingatextmessage,choosinganoventemperature,sensorsthatreadtemperature,speed,time,pressure.

Mathematical language, and talk and discussion• Co-ordinates,cryptography,encode,decode

• Pixel

• Findproblemsathomethatinvolvenumbers:Calculatenextmonth’slikelyphone/utilitiesbillbasedonlastfewmonths’bills/calculatelikelyannualmileageonfamilycarbasedonaveragemonth/numberofkilometrestravelled/workouttheamountsavedbyusingproductXratherthanproductY.

Use of the environment• Maps,roadmaps,atlasesoronlineinstancesofgrids,co-ordinates.

Concrete activities• Superimposeagridonanoldlandscapephotographandaskthepupilstomakeupquestions.

• Cellsinaspreadsheetonacomputerandhowtheyarelabelled.



• Reasoning

Fortnight 16

Objectives Tick Date• Plotsimpleco-ordinatesandapplywhereappropriate.

• Developandenhancemathsskillsfurther.


• All


• All

Suggested Fortnightly Plan 16 - Topics 31 & 32Resources• Gridofco-ordinates

• Gridsofsmallsquares






• SESEScience


Higher attainers:Battleship–Gamefor2players.Eachplayerneedstwo10x10grids.InBattleship,thesquares(notthelines)areplotted.Eachplayer‘hides’5ships(oneofeachtype)ononeoftheirgrids.Aircraftcarriers(A)takeup5adjacentspaces,Battleships(B)takeup4spaces,Cruisers(C)3,Destroyers(D)2andSubmarines(S)1.Neitherplayercanseetheother’sgrid.Inturnseachplayernominatesaspaceontheother’sgridandistoldwhethertheyhavescoredahitoramiss.Ontheirsecondgrid,theplayerskeeparecordofthehitsandmissesthattheyhavemade.Whenallsquareswhereavesselhasbeenhiddenarehit,theplayeristoldthatthevesselhasbeensunk.Winneristhepersontobethefirsttosinkalloftheother’svessels.

Estimation/Problem solving• Useofsmallmanageablenumbersatfirstsothatthepupilisnotalsofacingthedifficultyoflargecalculations.Operationsshouldbeeasyenoughtobedoneinthehead.Whentheconcepthasbeenmastered,thenproceedgraduallytolargernumbers.

• Estimatingtheanswerstoproblemswhenthenumbersarelarger.


Suggested ortnightl Plan 1 Topics 1 2 ortnight 1 - Planet Maths...

Documents

Transcript of Suggested ortnightl Plan 1 Topics 1 2 ortnight 1 - Planet Maths...