Upload
lytuyen
View
220
Download
3
Embed Size (px)
Citation preview
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
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
• 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.
12Planet Maths Teacher Resources • 5th Class
Fortnight 1
Resources
Suggested Fortnightly Plan 3 - Topics 5 & 6Strands• ShapeandSpace
• Number
Strand units• 2DShapes
• Operations
Fortnight 3
Skills and concepts• Applyingandproblem-solving
• Implementing
• Integratingandconnecting
• Reasoning
• Understandingandrecalling
Estimation/Problem solving• Recipes:Youwantacakethatishalfthesize.Howwillyouchangetheingredients?
Resources• Scissors,shapetemplates,squared
paper
• Calculator
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
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
13Planet Maths Teacher Resources • 5th Class
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
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• 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.
Skills and concepts• Applyingandproblem-solving
• Implementing
• Integratingandconnecting
• Reasoning
• Understandingandrecalling
14Planet Maths Teacher Resources • 5th Class
Fortnight 5Suggested Fortnightly Plan 5 - Topics 9 & 10Strands• ShapeandSpace
• Number
Strand units• LinesandAngles
• Operations
Skills and concepts• Applyingandproblem-solving
• Implementing
• Integratingandconnecting
• Reasoning
• Understandingandrecalling
Estimation/Problem solving• Estimatethemostfrequentlyoccurringangleintheclassroom.
• Calculationsinvolvingmilliseconds.
• Problemsinvolvinganglesintheenvironment.
Resources• Placemattemplates,calculators
• Protractors,rulers,Geostrips,clocks,card,paperfasteners
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• 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.
15Planet Maths Teacher Resources • 5th Class
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
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
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.
16Planet Maths Teacher Resources • 5th Class
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
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• SESEGeography
• SESEScience
• PE
Differentiation:Lower attainers:Extrapracticeroundinganddividing.Separateactivitysheet.
Higher attainers:Wordproblemsoperationsondecimalnumbers.Wordproblemsinvolvingunitsoflengthandperimeter.
Concrete activities• Findingthelengthofvariousspacesandobjectsusingaruler/metrestick/trundlewheel.
• Findingtheperimeterofvariousspacesandobjectsusingaruler/metrestick/trundlewheel.
17Planet Maths Teacher Resources • 5th Class
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.
Suggested Fortnightly Plan 8 - Topics 16 & 17Strands• Measures
• Number
Strand units• Time
• DecimalandPercentages
Objectives Tick Date• Readandinterprettimetablesandthe24-hourclock(digitalandanalogue).
• Interpretandconvertbetweentimesin12-hourand24-hourformat.
• Developanunderstandingofsimplepercentagesandrelatethemtofractionsanddecimals.
• Compareandorderfractionsanddecimals.
• Solveproblemsinvolvingoperationswithwholenumbers,fractions,decimalsandsimplepercentages(gettingafraction,decimalorpercentageofanumber).
Fortnight 8
Estimation/Problem solving• Estimatehowmuchtimeisspentsleepingoverthecourseof1night/1week/1year/78years.
• Estimateandcalculatethepercentageoftimespenteating,sleeping,doinghomeworkandwatchingtelevisioninaday/week.
• Solveproblemsusingtimetablesin24-hourformat.
Resources• Timetables,teachingclocks
• Newspapers
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
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
18Planet Maths Teacher Resources • 5th Class
Suggested Fortnightly Plan 9 - Topics 18 & 19Strands• Measures
• Number
Strand units• Money
• DecimalsandPercentages
Objectives Tick Date• Comparevalueformoneyusingtheunitarymethod.
• Multiplyanddividedecimalnumbers.
• Solveproblemsinvolvingtheoperationswithdecimals.
• Developanunderstandingofsimplepercentagesandrelatethemtofractionsanddecimals.
• Compareandorderfractionsanddecimals.
• Solveproblemsinvolvingoperationswithwholenumbers,fractions,decimalsandsimplepercentages.
Fortnight 9
Skills and concepts• Applyingandproblem-solving
• Integratingandconnecting
• Implementing
• Understandingandrecalling
• Reasoning
Estimation/Problem solving• Solveproblemsonvalueformoneyusingtheunitarymethod.
• Findthecostofitemsbeforeandaftersaledeductions.
• Estimatethecostofalunch.
• Estimatethepercentageofaweeklyshoppingbillspendonmeat,fruitandvegetables,dairyproductsandtreats.
Resources• Coins,notes,bankstatements,receipts,calculators
• Supermarketflyers,advertisementsforsalesinthemedia
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
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.
19Planet Maths Teacher Resources • 5th Class
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
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• 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.
Skills and concepts• Applyingandproblem-solving
• Communicatingandexpressing
• Integratingandconnecting
• Reasoning
• Implementing
• Understandingandrecalling
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.
20Planet Maths Teacher Resources • 5th Class
Fortnight 1
Resources
Suggested Fortnightly Plan 11 - Topics 22 & 23Strands• ShapeandSpace
• Algebra
Strand units• 2DShapes
• Properties
Fortnight 11
Resources• Compasses,rulers
• Calculators
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• SESEHistory
• English
DifferentiationLower attainers:Separateactivitypage.Extrapracticeonnumbersequencesandorderofoperations.
Higher attainers: Historyofthecircleworksheet.Moredifficultnumberpatternsandsequences.
Skills and concepts• Reasoning
• Implementing
• Integratingandconnecting
• Understandingandrecalling
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.
21Planet Maths Teacher Resources • 5th Class
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.
Suggested Fortnightly Plan 12 - Topics 24 & 25Strands• Measures
• Algebra
Strand units• Weight
• Equations
Fortnight 12
Skills and concepts• Applyingandproblem-solving
• Reasoning
• Implementing
• Communicatingandexpressing
• Integratingandconnecting
Use of the environment• Organiseaclassvisittothelocalpostofficeorthelocalsortingoffice.
• Estimateandthencalculatetheweightofastudent’sschoolbag.
Resources• Selectionofmaterialstoweigh
• Calculators
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• SESEScience
• English
DifferentiationLower attainers:Extrapracticeconvertingunitsofmeasurement.Extrapracticeonnumbersequencesandorderofoperations.
Higher attainers:Wordproblemsinvolvingunitsofmeasurement.Moredifficultnumberpatternsandsequences.
Estimation/Problem solving• Estimatetheweightofobjectsfromachoiceofweights.
• Estimateandthencalculatetheweightofavarietyofeverydayobjects.
• Solveproblemsinvolvingunitsofweight.
• Estimatetheamountofsugarheldby1spoonandthenusingthistoestimatetheamountofsugaringestedover30daysandthencalculatehowmanycupsofteawouldneedtobedrunktouse1kgofsugar.
• Convertwordproblemsintonumbersentences.
Objectives Tick Date• Selectanduseappropriateinstrumentsofmeasurement.
• 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.
22Planet Maths Teacher Resources • 5th Class
Resources
Suggested Fortnightly Plan 13 - Topics 26 & 27Strands• ShapeandSpace
• Data
Strand units• 3DShapes
• RepresentingandInterpretingData
Fortnight 13
Skills and concepts• Applyingandproblem-solving
• Communicatingandexpressing
• Integratingandconnecting
• Reasoning
• Implementing
Resources• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• SESEGeography
• SESEScience
• English
DifferentiationLower attainers:Extrapracticeidentifying3Dshapesanddescribingtheirpropertiesextrapracticeonrepresentingandinterpretingdata.
Higher attainers:Stretcheractivityonnets;stretcheractivitiesonrepresentingandinterpretingdata.
23Planet Maths Teacher Resources • 5th Class
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.
Suggested Fortnightly Plan 14 - Topics 28 & 29Strands• Measures
• Data
Strand units• Capacity
• Chance
Objectives Tick Date• Selectanduseappropriateinstrumentsofmeasurement.
• Estimateandmeasurecapacityusingappropriatemetricunit.
• Identifyandlistallpossibleoutcomesofsimplerandomprocesses.
• Estimatethelikelihoodofoccurrenceofevents.
• Constructandusefrequencychartsandtables.
Fortnight 14
Resources• Graduatedjugs,graduatedcylinders,varietyofvesselstobemeasuredforcapacity,materialstoconstructameasuringinstrument
• Dice,coins,packofplayingcards,colouredcubes(red,yellow,blue,green,purple,black)
• FolensPlanetMathsonlineactivities
Assessment• Textbook-basedwrittenactivities
• Teacherquestions
• Teacher-observedconstructiontasks
• Endofunitwrittenassessment
Integration• Visualarts
• 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
Skills and concepts• Applyingandproblem-solving
• Communicatingandexpressing
• Integratingandconnecting
• Reasoning
• Implementing
24Planet Maths Teacher Resources • 5th Class