Strand units Assessment Estimation/Problem solvingplanetmaths.folensonline.ie/teachers/5th/7961_PM2012TRB_5th... · • Applying and problem-solving ... • Explore and calculate

Fortnight 1

Resources

Suggested Fortnightly Plan 1 - Topics 1 & 2Strand• Number

Strand units• PlaceValue

• Operations

Fortnight 1

Skills and concepts• Applyingandproblem-solving

• Integratingandconnecting

• Understandingandrecalling

• Implementing

Estimation/Problem solving• Estimateandthencounthowmanynumbersbetween1,000and10,000haveazerointhem.

• EstimatehowmanypeopleattendedthelastsoccerWorldCup.

• Estimatehowmanyyears50,000daysmake.

• Estimateandcalculatehowlongitwouldtaketorun10,000metres.

Resources• Colouredcounters,notationboards,1,000/100/10/1block(s),abacus

• Calculator

• FolensPlanetMathsonlineactivities

Assessment• Textbook-basedwrittenactivities

• Teacherquestions

• Teacher-observedtasks(usingnotationboard,usingcalculator)

• Endofunitwrittenassessment

Integration• English

• SESEGeography

• PE

DifferentiationLower attainers:Extraactivitiesforchildrenwhohavedifficultiesunderstandingtheplacevalueof5-digitnumbersandroundingnumberstothenearest10,100and1,000.

Higher attainers: Stretcheractivityonlargernumbers.

Concrete activities• Usingnotationboardstorepresent5-digitnumbers.

• Usingacalculatortocarryoutnumericaloperations.

11Planet Maths Teacher Resources • 5th Class

Objectives Tick Date• Read,writeandorderwholenumbersanddecimals.

• Identifyplacevalueinwholenumbersanddecimals.

• Roundwholenumbersandrounddecimals.

• Estimatesums,differences,productsandquotientsofwholenumbers.

• Addandsubtractwholenumbersanddecimals(to3decimalplaces)withandwithoutacalculator.

Use of the environmentChildrenshouldbeencouragedtoobservetheuseoflargenumbersintheenvironment,e.g.inthecaseofcarnumberplates,orattendancesatsportingfixtures,parades.Childrencoulddrawupatableofthemostpopuloustownsandcitiesinthecountryandusetheircalculatorstofindoutthedifferencesbetweenpopulations.Childrencancollectreceiptsfromsupermarketsandusetheamountsspenttopredicttotalamountstobespentoverperiodsofweeksandmonths.

Mathematical language, and talk and discussion• Placevalue,tenthousands,thousands,hundreds,tens,units,round,order,approximately,extendedform,notationboard,digit

• Sum,difference,add,addition,subtract,subtraction,operation,combine,partition,units,total,estimate

• Discusstheuseoflargenumbersintheenvironment;usetheterms‘sum’and‘difference’accurately;discusstheuseofroundinglargenumbersineverydaylife.

Suggested Fortnightly Plan 1 - Topic 1 & 2 Fortnight 1

Resources

Suggested Fortnightly Plan 2 - Topics 3 & 4Strands• Data

• Number

Strand units• RepresentingandInterpretingData

• Operations

Fortnight 2

Skills and concepts• Communicatingandexpressing •Integratingandconnecting

• Applyingandproblem-solving •Implementing

Resources• Graphpaper,examplesofdifferentdatarepresentationtypesusedinthemedia,rulers

• Calculator

• Teacher-observedconstructiontasks

• Oralpresentationofdataresults

Integration• SESEGeography

• SESEScience

• English

DifferentiationLower attainers:Extrapracticeonreadingandconstructinggraphs.Photocopiableforextrapracticeonroundingdecimalsandmultiplicationwithdecimals.Higher attainers:Photocopiablewithideasforconstructingdifferentgraphs.Wordproblemswherechildrenhavetodecideonthecorrectoperation(add,subtract,multiplyoracombination)tosolvetheproblems.

Objectives Tick Date• Collect,organiseandrepresentdatausingpictograms,singleandmultiplebarcharts,andsimplepiecharts.

• Readandinterpretpictograms,singleandmultiplebarcharts,andpiecharts.

• Exploreandcalculateaveragesofsimpledatasets.

• Estimatesums,differences,productsandquotientsofwholenumbers.

• Rounddecimals.

• Multiplyingadecimal(upto3decimalplaces)byawholenumber,withandwithoutacalculator.

Use of the environment• Encouragechildrentocompilegraphsthatwouldbeofrelevancetotheirlifeoutsideofschool,e.g.keepatallysheettorecordthenumberoftextmessagestheysendeverydayforaweek,deviseabarcharttoshowhowtheyspendtheirpocketmoneyortodocumenthowmuchtimetheyspendwatchingTV,reading,playingcomputergamesoveraperiodoftime.Investigatethedifferentmobilephonetariffsthatareavailablebydifferentmobileproviders.Calculatewhichtariffwouldprovetobethebestvalueformoney.

Mathematical language, and talk and discussion• Graph,scale,x-axis,y-axis,specifier,key,tallysheet,pictogram,barchart,barlinegraph,piechart,horizontalaxis,verticalaxis,title,average,multiplebarchart,table,row,column,set

• Multiply,multiple,multiplication,increase,estimate,multiplesmethod,repeatedaddition,rounding,decimalpoint,longmultiplication

• Discussinganddescribingtherepresentationofdatausingverticalandhorizontalbarcharts,pictographsandlinecharts.

Concrete activities• Usingtallysheetstocollectdata.

• Designing,constructingandrepresentingdatausingdifferentgraphforms.

• Calculatingaveragespendsperhouseholdonelectricitybills.

Estimation/Problem solving• Solveproblemsinvolvingtheuseofdatasets.

• Solveproblemsinvolvingmultiplication.

• Estimatethelengthoftimespentbrushingteethinadayandthenusemultiplicationtocalculatethelengthoftimespentbrushingin1week,1year,and10years.

Fortnight 1

Resources

Suggested Fortnightly Plan 3 - Topics 5 & 6Strands• ShapeandSpace

• Number

Strand units• 2DShapes

• Operations

Fortnight 3

• Implementing

• Reasoning

Estimation/Problem solving• Recipes:Youwantacakethatishalfthesize.Howwillyouchangetheingredients?

Resources• Scissors,shapetemplates,squared

• Calculator

Integration• Visualarts

• SESEGeography

• SESEScience

• PE

DifferentiationLower attainers:Extrapracticeusingthelongdivisionalgorithm.Separateactivitypage.

Higher attainers: Wordproblemsinvolvingoperations.Furtherworkontangrams.

Mathematical language, and talk and discussion• Square,rectangle,triangle,equilateraltriangle,isoscelestriangle,scalenetriangle,rightangledtriangle,quadrilateral,circle,semicircle,oval,polygon,trapezium,pentagon,hexagon,octagon,parallelogram,rhombus,regular,irregular,congruent,diagonal,tessellate,tangram,symmetry

• Division,divide,dividend,divisor,quotient,remainder,share,multiples,rounding,estimate,repeatedsubtraction

Objectives Tick Date• Makeinformaldeductionsabout2Dshapesandtheirproperties.

• Useangleandlinepropertiestoclassifyanddescribequadrilateralsandtriangles.

• Tessellatecombinationsof2Dshapes.

• Use2Dshapesandpropertiestosolveproblems.

• Dividea3-digitnumberbya2-digitnumberwithandwithoutacalculator.

• Solveproblemsinvolvingoperationswithwholenumbers.Solveproblemsinvolvingoperationswithdecimals.

Use of the environmentObservetheuseof2Dshapesintheenvironment,e.g.roadsigns,onclothing,ontiles,inart.Exploretheuseofdivisioninthehome.Isdivisionusedtoplanthehouseholdbudgetforaweekormonth?Whatistheaveragespeedinkilometresperhourofparents/guardianstravellingtoworkortotheschool?Isacalculatorcommonlyusedinthehometocalculatedivisioncomputation?Why?

Concrete activities• Construct2Dshapes.

• Tessellate2Dshapes.

• Constructtangrams.

Fortnight 4 Suggested Fortnightly Plan 4 - Topics 7 & 8Strand• Number

Strand units• Fractions

Resources• Counters,pieceofA4paper,fractionwalls

• English

• SESEScience

• PE

DifferentiationLower attainers:Extrapracticeonequivalence,changingimproperfractionstomixednumbersandviceversa.Extrapracticeadding,subtractingandmultiplyingfractions.

Higher attainers: Stretcheractivitiesinvolvingnumberlines.Wordproblemsinvolvingtheaddition,subtractionandmultiplicationoffractions.

Mathematical language, and talk and discussion• Fraction,equivalent,equivalence,compare,improperfraction,mixednumber,properfraction,numerator,denominator,whole,unit,halves,thirds,quarters,fifths,sixths,sevenths,eighths,ninths,tenths,elevenths,twelfths,twentieths,hundredths

• Thelanguageoffractions,using‘numerator’and‘denominator’correctly.Discussingfractionsoftimespentatvariousactivities.Discussingfractionsofgroupsrepresentedbydifferentqualities,e.g.thefractionofchildreninaclassthatwalktoschool.

Objectives Tick Date• Compareandorderfractionsandidentifyequivalentformsoffractionswithdenominators2–12.

• Expressimproperfractionsasmixednumbersandviceversaandpositionthemonthenumberline.

Use of the environment• Explorefractionsintheenvironment,e.g.onaruler,ingredientsinarecipe,inmusic.

• Studentsshouldbeencouragedtoinvestigatefractionsofmeasurementandfractionsofacontinuousquantity.

Concrete activities• Putfractionsinorderonnumberlines.

• Usefractionwallstoanswerquestionsonequivalences.

• Paperfolding.

Estimation/Problem solving• Estimatethefractionofadayspentinschool,eating,doingmaths,sleeping,doinghomework.

• Estimatethefractionofpeopleinaschoolthatarein5thclassandthenthefractionofpeoplein5thclassthathavecurlyhair.

• Calculatethefractionofthemathsbookthathasbeencompleted.

• Implementing

• Reasoning

Fortnight 5Suggested Fortnightly Plan 5 - Topics 9 & 10Strands• ShapeandSpace

• Number

Strand units• LinesandAngles

• Operations

• Implementing

• Reasoning

Estimation/Problem solving• Estimatethemostfrequentlyoccurringangleintheclassroom.

• Calculationsinvolvingmilliseconds.

• Problemsinvolvinganglesintheenvironment.

Resources• Placemattemplates,calculators

• Protractors,rulers,Geostrips,clocks,card,paperfasteners

• SESEGeography

• PE

• SESEScience

• English

Differentiation:Lower attainers: Separateactivitysheet.

Higher attainers:Separateactivitypage.Wordproblemsinvolvingdecimalsandfractions.

Mathematical language and Talk and Discussion: • Acute,right,obtuse,straight,reflex,horizontal,vertical,diagonal,degree,parallel,perpendicular,fullrotation,clockwise,anti-clockwise

• Decimal,tenths,hundredths,thousandths,fraction,half,quarter,eighths,tenths,fifths,twentieths,equivalent,mixednumber,notationboard

• Discussingtheoccurrenceoflinesandanglesintheenvironment.Discussingthelinesandanglesinthecontextof2Dshapes.Discussingtheuseofnumberswith3decimalplacesintheenvironment.

Objectives Tick Date• Recognise,classifyanddescribeanglesandrelateanglestoshapeandtheenvironment.

• Recogniseanglesintermsofarotation.

• Estimate,measureandconstructanglesindegrees.

• Explorethesumoftheanglesinatriangle.

• Expresstenths,hundredthsandthousandthsinbothfractionalanddecimalform.

• Compareandorderfractionsanddecimals.

• Solveproblemsinvolvingoperationswithfractionsanddecimals.

Use of the environment• Anglesmadebytheclockinthehome.

• Observingthelinesandanglesatroundaboutsandjunctions.

• Observinglinesandanglesinsporte.g.goalposts,linesontenniscourtandlinesonabasketballcourt.

Concrete activities• Measureangles.

• Drawangles.

• Useaplacemattoshowdecimalquantities.

Suggested Fortnightly Plan 6 - Topics 11, 12 & 13Strands• All

• Number

Strand units• Problem-Solving

• NumberTheory

• Operations

Fortnight 6

Skills and concepts• Applyingandproblem-solving •Communicatingandexpressing

• Integratingandconnecting •Reasoning

• Understandingandrecalling •Implementing

Resources• Squaredpaper,rulers

• Geoboards,calculators

• Calculators

Integration• Real-lifeproblemsolving

• SESEScience

• Visualarts

• SESEGeography

• SESEHistory

• PE

DifferentiationLower attainers:Extrapracticeonrounding,estimatingandmultiplication.

Higher attainers: Wordproblemsinvolvingdecimalnumbers.

Concrete activities• Getchildrentocomposea‘BreaktheCode’tobesolvedbyotherchildrenintheclass.

• UsetheSieveofEratosthenestofindprimeandcompositenumbersbetween1and100.

• UseaGeoboardtoinvestigatepatternsinsquare,rectangularandtriangularnumbers.

Objectives Tick Date• Solveproblemsinvolvingoperationswithwholenumbers,fractions,decimalsandsimplepercentages.

• Developchildren’sproblem-solvingstrategies.

• Identifysimpleprimeandcompositenumbers.

• Identifysquareandrectangularnumbers.

• Identifyfactorsandmultiples.

• Rounddecimalstothenearestwholenumber.

• Multiplyadecimalupto3placesbyawholenumberwithandwithoutacalculator.

• Solveproblemsinvolvingoperationswithdecimals.

Use of the environment• Childrenshouldbeencouragedtoexaminenumberpatternsintheirenvironment,forexample:examinepatternsofstreetnumberinginthelocality.Examinethepresence/absenceofa13thfloorinhighrisebuildings.

Mathematical language, and talk and discussion • Solve,plan,puzzle,estimate,pattern,model,table

• Even,odd,factor,product,multiple,prime,composite,squarenumber,rectangularnumber,divisible,divisor

• Multiply,round,decimalpoint,tenths,hundredths,thousandths,repeatedaddition,estimate,longmultiplication

• UsetheSieveofEratosthenestofindalltheprimeandcompositenumbersbetween1and100.Discusspatternsinsquareandrectangularnumbers.

Estimation/Problem solving• Investigatedecimalnumbercombinations.

• Usemultiplestosolvemultiplication-basedproblems.

• Estimateandinvestigatethenumberoffactorsforgivennumbers.

• CalculateweightonJupiterandNeptuneusingmultiplication.

Suggested Fortnightly Plan 7 - Topics 14 & 15Strands• Measures

• Number

Strand units• Length

• Operations,Placevalue

Fortnight 7

Skills and concepts• Applyingandproblem-solving •Communicatingandexpressing

• Integratingandconnecting •Implementing

• Reasoning •Understandingandrecalling

Resources• Trundlewheels,measuringtapes,rulers,metresticks

• Calculators

Integration• SESEGeography

• SESEScience

• PE

Differentiation:Lower attainers:Extrapracticeroundinganddividing.Separateactivitysheet.

Higher attainers:Wordproblemsoperationsondecimalnumbers.Wordproblemsinvolvingunitsoflengthandperimeter.

Concrete activities• Findingthelengthofvariousspacesandobjectsusingaruler/metrestick/trundlewheel.

• Findingtheperimeterofvariousspacesandobjectsusingaruler/metrestick/trundlewheel.

Objectives Tick Date• Selectanduseappropriateinstrumentsofmeasurement.

• Estimateandmeasurelengthusingappropriatemetricunits.

• Estimateandmeasuretheperimeterofregularandirregularshapes.

• Roundeachdecimaltothenearestwholenumber.

• Dividea3-digitnumberbya2-digitnumber.

• Divideadecimalnumberbyawholenumberwithandwithoutacalculator.

• Solveproblemsinvolvingoperationswithdecimals.

Use of the environment• Collectinformationonthesportspeoplewhohaveranorswamthefastestkilometre.

• Whataretheworld’stallestbuildings?Estimatehowmuchtallertheyarethanyourhome/school.

• Researchthehistoryoftheunitmetre.

• Developanawarenessoftheimperialmeasurementsystem,lookatababy’sbottleforcomparisons.

• Findthedistancefromthelocaltownorvillagetomajorurbanareasorsightsaroundtherestofthecountry,e.g.distancetoDublin,Cork,Galway,Limerick,Waterford,Belfast,CliffsofMoher,Giant’sCauseway,CéideFields,etc.

Estimation/Problem solving• Solveproblemsinvolvingunitsoflength.

• Solveproblemsinvolvingperimeter.

• Solveproblemsusingthedivisionofdecimals.

• Estimatethelengthofastep.

• Estimatethedistancetravelledafter10/100/1,000steps.

• Estimatetheamountofairinhaledin1hour/1day/1week.

Mathematical language, and talk and discussion• Unitofmeasurement,instrumentofmeasurement,millimetre,centimetre,metre,kilometre,length,estimate,measure,perimeter,height,trundlewheel

• Divide,divisor,dividend,quotient,subtractionmethod,longdivisionmethod,decimalpoint,tenths,hundredths,thousandths,round,estimate,multiples

• Discussingappropriateunitsandinstrumentsofmeasurement.Discussingthelengthofcountyandcountryborders.Discussinghowtocalculatetheperimeterofirregularshapes.

• Number

Strand units• Time

• DecimalandPercentages

Objectives Tick Date• Readandinterprettimetablesandthe24-hourclock(digitalandanalogue).

• Interpretandconvertbetweentimesin12-hourand24-hourformat.

• Developanunderstandingofsimplepercentagesandrelatethemtofractionsanddecimals.

• Solveproblemsinvolvingoperationswithwholenumbers,fractions,decimalsandsimplepercentages(gettingafraction,decimalorpercentageofanumber).

Fortnight 8

Estimation/Problem solving• Estimatehowmuchtimeisspentsleepingoverthecourseof1night/1week/1year/78years.

• Estimateandcalculatethepercentageoftimespenteating,sleeping,doinghomeworkandwatchingtelevisioninaday/week.

• Solveproblemsusingtimetablesin24-hourformat.

Resources• Timetables,teachingclocks

• Newspapers

Integration• SESEHistory

• SESEGeography

• English

DifferentiationLower attainers:Extrapracticeconvertingfromanaloguetodigitaland12-hourto24-hourformat.Extrapracticeconvertingfromfractionsanddecimalstopercentages.

Higher attainers:Wordproblemsinvolvingtime.Wordproblemsfractions,decimalsandpercentages.

Use of the environment• Collecttimetablesforlocalbusandtrainservices.Workouttowherefromyourlocalvillageortownyoucantraveltodirectlyusingpublictransport.Howlongwouldeachjourneytake?

• Getthetimetableforthelocalcinema.Whatisthelengthofeachfilm?Puttheminorderstartingwiththeshortest.Workoutthefinishingtimesforeachfilm.

• Researchhowthe24-hourdaycameintobeing.

• Researchromannumerals.Listasmanyaspossibleupto1,000(m).

Concrete activities• Readingtimetables. •Usingateachingclock.

• Placingfractions,decimalsandpercentagesonanumberline.

Mathematical language and Talk and Discussion • Analogue,digital,24-hourclock,hours,minutes,seconds,timetables,schedules,before,after,past,half,quarter,week,fortnight,month,year,calendar

• Fractions,decimals,percent,percentage,hundredths,equivalent,decimalpoint,mixednumbers,convert

• Discussingtheconversiontoandfrom24-hourclockformattodigitalandanaloguetimes.Discussingtherelationshipbetweenfractions,decimalsandpercentages.

Skills and concept• Applyingandproblem-solving •Communicatingandexpressing

• Integratingandconnecting •Implementing

• Reasoning

• Number

Strand units• Money

• DecimalsandPercentages

Objectives Tick Date• Comparevalueformoneyusingtheunitarymethod.

• Multiplyanddividedecimalnumbers.

• Solveproblemsinvolvingtheoperationswithdecimals.

• Developanunderstandingofsimplepercentagesandrelatethemtofractionsanddecimals.

• Solveproblemsinvolvingoperationswithwholenumbers,fractions,decimalsandsimplepercentages.

Fortnight 9

• Implementing

• Reasoning

Estimation/Problem solving• Solveproblemsonvalueformoneyusingtheunitarymethod.

• Findthecostofitemsbeforeandaftersaledeductions.

• Estimatethecostofalunch.

• Estimatethepercentageofaweeklyshoppingbillspendonmeat,fruitandvegetables,dairyproductsandtreats.

Resources• Coins,notes,bankstatements,receipts,calculators

• Supermarketflyers,advertisementsforsalesinthemedia

Integration• SESEHistory

• SESEGeography

• Visualarts

DifferentiationLower attainers:Extrapracticeonunitarymethod.Extrapracticeonprocessescoveredinthechapter.

Higher attainers: Wordproblemsinvolvingmoney.Wordproblemsinvolvingpercentages.

Mathematical language, and talk and discussion• Notes,coins,euro,valueformoney,unitarymethod,cheapest,expensive,sale

• Fractions,decimals,percent,percentage,hundredths,equivalent,decimalpoint,mixednumbers,convert,increase,decrease,express,discount,servicecharge

• Explainingunitpricingandtheunitarymethod.Comparingandcontrastingtheunitarypriceofcommodities.

Use of the environment• Examiningamountsofpocketmoneyreceivedintheclass.Calculatetheaverageamountreceived.Analysetheproductsandservicesthatpocketmoneyisusedfor.

• Whatisamint?WhatcoinswereusedinIrelandbeforethedecimalsystemandbeforetheeuro?

• Whatcurrenciesareusedindifferentcountries?

• Howmuchis€1indifferentcurrencies.Isitworthmoreorlessthanthistimelastweek/lastmonth/lastyear?Whydocurrenciesfluctuate?

Concrete activities• Placingfractions,decimalsandpercentagesonanumberline.

• Collectingexamplesofdifferentcurrencies.

Suggested Fortnightly Plan 10 - Topics 20 & 21 Fortnight 10

Resources• Rulers,selectionofspacesandobjectsfromwhichareacanbemeasured,squaredpaper,trundlewheels,metresticks

• Thermometers,bankstatements

• SESEScience

• SESEGeography

DifferentiationLower attainers:Extrapracticecalculatingarea.Extrapracticeondirectednumbers.

Higher attainers:Wordproblemsinvolvingarea.Wordproblemsdirectednumbers.

Concrete activities• Findingtheareaofregularspaces.

• Constructingasquareofarea1m2.

• Findingtheareaofirregularspaces.

• Findingtheareaofahandprint.

• Designingaquizandusingtheconceptofnegativescorestokeepscore.

Objectives Tick Date• Discovertheareaofarectangleislengthbybreadth.

• Estimateandmeasuretheareaofregularandirregular2Dshapes.

• Calculateareausingsquarecentimetresandsquaremetres.

• Comparevisuallysquaremetresandsquarecentimetres.

• Identifypositiveandnegativenumbersincontext.

Strands• Measures

• Algebra

Strand units• Area

• DirectedNumbers

Estimation/Problem solving• Calculatethenumberofdaysittakesaworkertotravel1,000floors.

• Estimatetheareaofvariousspaces.

• Solveproblemsinvolvingtheareaofirregularshapedspaces.

• Solveproblemsbasedonfloorplans.

• Estimatetheamountofareatakenupbyonepersonwhenstanding.

• Estimatehowmanypeople,standingup,couldfitintoaclassroom.

• Communicatingandexpressing

• Reasoning

• Implementing

Use of the environment• Visitwww.temperatureworld.comtofindtemperaturesfromaroundtheglobe.Produceachartwithtemperaturesofparticularcitiesandcalculatethedifferencebetweenthem.

• ResearchtheCelsiustemperaturescale.FindoutwheretheFahrenheitscaleisused.

Mathematical language, and talk and discussion• Area,space,squareunits,squaredmetres,squaredcentimetres,m²,cm²,flat,surface,length,width,regular,irregular,perimeter

• Negative,positive,temperature,lessthan,morethan,par,birdie,eagle,albatross,bogey,doublebogey,balance,withdraw,lodge

• Discussingthequantityofareatakenupbyapersonwhenstanding.Discussingtemperaturerangesonweatherforecasts.

Fortnight 1

Resources

• Algebra

• Properties

Fortnight 11

Resources• Compasses,rulers

• Calculators

• SESEHistory

• English

DifferentiationLower attainers:Separateactivitypage.Extrapracticeonnumbersequencesandorderofoperations.

Higher attainers: Historyofthecircleworksheet.Moredifficultnumberpatternsandsequences.

Skills and concepts• Reasoning

• Implementing

Estimation/Problem solvingEstimation/Problemsolving• Estimatetheareaofacircle

• Solveproblemsusingtheradiusanddiameterofacircle

• Estimatethenumberof€1coinslaidendtoendthatwouldequatethelengthofabody

• Calculatethenumberof€2coinslaidendtoendthatwouldequatethelengthofabody.

Mathematical language, and talk and discussion • Circle,angles,symmetry,diagonals,parallel,perpendicular,polygon,regular,irregular,quadrilateral,degrees,vertices,compass,circumference,radius,radii,diameter,arc,chord,sector,quadrant,semicircle,area

• Pattern,sequence,frame,order,brackets,add,subtract,multiply,divide,operations,rule

• Comparingandcontrastingtriangles,quadrilateralsandpolygons.Comparingandcontrasting.

Objectives Tick Date• Identifythepropertiesofthecircle.

• Constructacircleofagivenradiusordiameter.

• Tessellatecombinationsof2Dshapes.

• Use2Dshapesandpropertiestosolveproblems.Exploreanddiscusssimplepropertiesandrulesaboutbracketsandpriorityofoperation.

• Identifyrelationshipsandrecordverbalandsimplesymbolicrulesfornumberpatterns.

Use of the environment• Childrenshouldbeencouragedtoobservepatternsintheirenvironment,e.g.inthebuiltenvironment–architecture,gardendesigns,homefurnishings,innature–plants,cobwebsandinart.Exploringnumberpatternsthroughmathematicalpuzzlessuchassudokuwillallowchildrentoextendandapplythecontentofthisunit.

Concrete activities• Drawingcirclesofagivenradius.

• Drawingcirclesofagivendiameter.

• Creatingpatternsfromcircles.

• Algebra

Strand units• Weight

• Equations

Fortnight 12

• Reasoning

• Implementing

Use of the environment• Organiseaclassvisittothelocalpostofficeorthelocalsortingoffice.

• Estimateandthencalculatetheweightofastudent’sschoolbag.

Resources• Selectionofmaterialstoweigh

• Calculators

Integration• SESEScience

• English

DifferentiationLower attainers:Extrapracticeconvertingunitsofmeasurement.Extrapracticeonnumbersequencesandorderofoperations.

Higher attainers:Wordproblemsinvolvingunitsofmeasurement.Moredifficultnumberpatternsandsequences.

Estimation/Problem solving• Estimatetheweightofobjectsfromachoiceofweights.

• Estimateandthencalculatetheweightofavarietyofeverydayobjects.

• Solveproblemsinvolvingunitsofweight.

• Estimatetheamountofsugarheldby1spoonandthenusingthistoestimatetheamountofsugaringestedover30daysandthencalculatehowmanycupsofteawouldneedtobedrunktouse1kgofsugar.

• Convertwordproblemsintonumbersentences.

• Estimateandmeasureweightusingappropriatemetricunits.

• Translatenumbersentenceswithaframeintoawordproblemandviceversa.

• Solve1-stepnumbersentencesandequations.

Concrete activities• Weighingselecteditems.

• Readingtheweightofselecteditemsonweighingscales.

• Constructingobjectsofgivenweight.

Mathematical language, and talk and discussion• Weight,weigh,weighs,gram,kilogram,weighingscales,weighbridge,springbalance,estimate,heaviest,lightest

• True,false,numbersentence,mathematicalsign,equation,equalsign,opensentence,frame

• Discussingtheselectionofappropriateinstrumentsofmeasurement.Discussingtheselectionofappropriateunitsofmeasurement.Decidinghowtoconstructobjectsofagivenweight.Discussingtheuseofaframeandtheconversionofnumbersentencesintowordproblemsandviceversa.

Resources

• Data

• RepresentingandInterpretingData

Fortnight 13

• Reasoning

• Implementing

Resources• Textbook-basedwrittenactivities

• SESEGeography

• SESEScience

• English

DifferentiationLower attainers:Extrapracticeidentifying3Dshapesanddescribingtheirpropertiesextrapracticeonrepresentingandinterpretingdata.

Higher attainers:Stretcheractivityonnets;stretcheractivitiesonrepresentingandinterpretingdata.

Objectives Tick Date• Identifyandexamine3Dshapesandexplorerelationships,includingtetrahedron(faces,edgesandvertices).

• Drawthenetsofsimple3Dshapesandconstructtheshapes.

• Collect,organiseandrepresentdatausingpictograms,singleandmultiplebarchartsandsimplepiecharts.

• Readandinterpretpictograms,singleandmultiplebarchartsandpiecharts.

• Compileandusesimpledatasets.

• Exploreandcalculateaveragesofsimpledatasets.

• Usedatasetstosolveproblems.

Use of the environment• Childrenshouldbeencouragedtoobserveanddescribetheuseof3Dshapesinthelocalbuiltenvironmentinthecontextoflandmarkbuildings.Everyday3Dshapedobjects,suchascerealboxesmaybeinvestigatedtoobservetheirnets.

Concrete activities• Constructing3Dshapesfromtheirnets.

• Constructingatetrahedron.

• Constructingpiechartsfromdatagiven.

• Collectingandcollatingdatatoconstructpiecharts.

Mathematical language and talk and discussion • 3D,face,vertex,vertices,edge,pyramid,tetrahedron,tetrahedra,square-basedpyramid,rectangle-basedpyramid,hexagonalpyramid,heptagonalpyramid,decagonalpyramid,prism,triangularprism,pentagonalprism,hexagonalprism,octagonalprism,trapezoidalprism,regularprism,irregularprism,polyhedron,polyhedra,net,properties,cube,cuboid,sphere,hemisphere,cone

• Barchart,verticalbarchart,horizontalbarchart,multiplebarchart,title,scaleinterval,verticalaxis,horizontalaxis,piechart,tallysheet,average,fraction,percentage,degree

• Comparingandcontrastingthepropertiesof3Dshapes;discussinganddescribingtherepresentationofdatausingpiecharts.

Estimation/Problem solving• Solveproblemsinvolvingthenetsof3Dshapes.

• Data

Strand units• Capacity

• Chance

• Estimateandmeasurecapacityusingappropriatemetricunit.

• Identifyandlistallpossibleoutcomesofsimplerandomprocesses.

• Estimatethelikelihoodofoccurrenceofevents.

• Constructandusefrequencychartsandtables.

Fortnight 14

Resources• Graduatedjugs,graduatedcylinders,varietyofvesselstobemeasuredforcapacity,materialstoconstructameasuringinstrument

• Dice,coins,packofplayingcards,colouredcubes(red,yellow,blue,green,purple,black)

• SESEScience

• PE

DifferentiationLower attainers: Extrapracticeonrenamingunitsofmeasurement.Furtherinvestigationsinvolvingchance.

Higher attainers: Wordproblems.Morechallengingproblemsinvolvingchance.

Estimation/Problem solving• Estimateandcalculatethecapacityofvariousvessels.

• Designandmakevesselsofagivencapacity.

• Solveproblemsinvolvingunitsofmeasurementforcapacity.

• Estimatethechanceofvariousevents.

Use of the environment• Investigatetheuseofchanceinboardgames.Investigatetheuseofspinnersanddiceinboardgames.

• Estimateandthenjustifytheprobabilityofeventshappeningduringtheschoolday.

• Investigatethelinkbetweenchanceandinsurance.Whatisinsurance?Whydoesinsurancechancefromonesituationtothenext?Whatistheroleofanactuary?

• Investigatetheprobabilityofveryunlikelyevents.

Concrete activities• Designingandmakinganinstrumentwithaspecificcapacity.

• Estimatingandthenmeasuringthecapacityofvariousmeasuringinstruments.

• Readingthemeasurementscalesonvariousinstrumentsforcalculatingcapacity.

Mathematical language, and talk and discussion• Graduatedjug,graduatedcylinder,measure,estimate,compare,millilitres,litres,vessel,instrument,measuringunits,capacity,intervals,levels

• Probabilityscale,impossible,possible,unlikely,likely,evenchance,probable,improbable,likely,certain,frequency,spinner

• Reasoning

• Implementing

Strand units Assessment Estimation/Problem solvingplanetmaths.folensonline.ie/teachers/5th/7961_PM2012TRB_5th... · • Applying and problem-solving ... • Explore and calculate

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