Skip to main content

Mathematics and Statistics for Aotearoa New Zealand | Teaching slides sample - Year 5

Page 1


Topic3.2Area

Strand3:Measurement Measuring

Knowledgeandpractices

Element: Strand3:Measurement

Measuring

Knowledge Practices

Approximatingtheareasof irregular shapescoveredwithsquares,halfsquares, andpartialsquares

Theareasof rectangles(includingsquares) canbecalculated bymultiplicationofside lengths.

Calculatingtheareasofrectangles (including squares)usingmultiplicationof sidelengths

Overtoyou!

• CompletetheGet readyquizonlineor onpaper

Areyouready?

Clicktoopen

• Topic 3.2Getreadyquiz

Beforewestart, let’ssealifyou’re readytogo!

Today,wearelearning to 1

• Understandwhatareais

Success

criteria

forthislesson

Ican:

• explainthat areaistheamountofspaceinsideashape

• countwholesquaresinsideashape

• recordthetotalareausing squareunits

• Approximatingtheareasofirregular shapescoveredwith squares,halfsquares, and partialsquares

• Calculating theareasofrectangles(including squares)using multiplication of sidelengths

• Whatis area?

Area istheamountof spacea flatshapecovers.

Perimeter=Lengtharoundthe outside ofa shape

Area=How manysquaresfitinsideashape.

Thisisa squarecentimetre.

Eachsideofthesquaremeasures1cm. Wewritethisas1cm².

Howmany1cmsquarescan fitinsidethisrectangle?

Wesaythisrectanglehasanareaof8 cm².

Now

youcalculatetheareasoftheseshapes...

Overtoyou!

• Inpairs,lookatthe Investigating areasheet.

• Estimatethearea oftherectangle.Howmany1cmx1cmsquaresdoyouthink wouldfitinside therectangle?

• Usingyourruler–drawthe1 cmx1 cmsquares ontoyourrectangle.

Hint: Draw dots 1 cm apart along the side lengths as shown, then draw the lines across

• Countthesquarestoworkouttheareaoftherectangle.

• Discuss

Clicktoopen

• BLMX.XInvestigating area

Blacklinemaster

Lookingahead

Howdoyouworkouttheareaofashapewhenitdoesn’tfit neatlyintothesquares?

Stand ifyou thinkit’s true.

True

orfalse?

Sit ifyou thinkit’s false.

Thisrectanglehasanareaof8cm²

EndofLesson 1

Lookingback

Wecanfindtheareaof ashape,bycountinghowmany 1cm x1cmsquaresmakeup theshape!

Today,wearelearning to

• Choosethebestunitfor measuring area

• Approximatethearea ofirregularshapes

Successcriteriaforthislesson

Ican:

• countwholesquaresinsideashape

• combinehalfsquarestomakewhole squares

• makesensibleestimatesforpartial squares

• recordthetotalareausingsquareunits(e.g.cm²,m²)

• Approximatingtheareasofirregular shapescoveredwith squares,halfsquares, and partialsquares

NZC

Howwouldwemeasuretheareaofthistrampolinemat?

Tomeasurethe area ofthemat,youwouldneedahugenumberof 1cm x1cmsquares. Is there a better way?

• Someareasare verylarge,anditwouldn’tmakesense tomeasurethemin squarecentimetres.

• Inthesecases,wecouldmeasureinsquaremetres.

• Wewritethisas1m².

Overtoyou!

Which

unitwouldyouusetomeasurethese?

cm² or m²

Apaddock

Apictureframe

Overtoyou!

Asyoucansee,notallshapeswillfitneatly intogrid squares.

Trythis! Ido

Notallshapesfitneatly intothesquares.

10 fullsquares 5halfsquares

Area =12.5cm2

Howcouldweworkouttheareaofthese shapes?

Fullandhalfsquares

Whatisthearea(incm2)ofeachshape?

15 fullsquares

3half squares

Area =16.5cm2

12 fullsquares

6half squares

Area =15cm2

Howcouldweworkouttheareaofthisshape?

Itisa bittrickier!Ithassomepartialsquares.

7fullsquares 4.5partialsquares Area =11.5cm2

Partialsquares: = half

Workouttheareaoftheseshapes

10 fullsquares

10 halfsquares

Area =15cm2

9fullsquares

4half squares

3more(madeofpartialsquares)

Area =14cm2

OpenyourStudentWorkbookand completethisactivity:

Gotopage

Connectandreflect Think Pair Share

Whatdoesthewordapproximatemean?

EndofLesson 2

Lookingback

• Wecanfindtheareaof ashape,by counting how many 1cmx 1cmsquaresmakeup theshape – includingwhattodowhentherearehalf orpartialsquares.

15 fullsquares 3half squares Area =16.5cm2

Estimate • a smart guess based on information

Approximate

• when it's hard to get an exact answer – an approximate is an answer as close as possible to the answer

Area

• the amount of space inside a flat, 2D shape

Today,wearelearning to

• Findthearea ofa rectangleusing multiplication

Success

criteria

forthislesson

Ican:

• findthelengthandwidthofa rectangle

• Multiplylengthxwidthtofindarea

• usesquareunitsinmyanswer(e.g.cm²,m²).

• checkthattheanswermakessense.

• Calculating theareasofrectangles(including squares)using multiplication of sidelengths

Usingmultiplicationtofindareaofarectangle

Thereare3rows.Thereare5squaresineachrow.

So,insteadofcountingeachsquare, wecanmultiply5x3 togetatotalof15squares.

Area ofthisrectangleis15cm².

Areaofarectangle=LengthxWidth

Let'scalculate theareaofthisrectangles.

Areaofarectangle=LengthxWidth

6cmx2cm=12cm2

Calculatetheareaoftheserectangles.

Canyoufindwidth ifgivenlength andarea?

Area =24m2 6m 3cm 10cm 8m 4m A=lxw =4x8 =32m2 A=lxw =10x3 =30cm2

Classroomrectangles

1. Yourtaskistofind3rectanglesinourclassroom, andcalculatetheirarea(e.g.the whiteboard, windowframe,classmat,bookshelf,dooror cupboard)

2. Roundyourmeasurementstothenearestmetre (e.g.3mx2m,not2.8m x1.6m).

3. Record yourmeasurementsonthesheet provided.Calculatethearea ofyour3chosen rectangles(includeunits!)

4. Answerthebonusquestionatthebottomof the tasksheet Clicktoopen

• BLMX.XClassroom rectangles

OpenyourStudentWorkbookand completethisactivity:

Gotopage

Thumbscheck

Icandothis! I’mgetting there! Ineedhelp!

Howconfidentareyouusing multiplicationofsidelengthstofindthearea ofa rectangle?

EndofLesson 3

Lesson4overview

Approximatingarea (half andpartialsquares)

Findingtheareaofa rectangleusingmultiplication

Findingthearea ofcompoundshapes

Lookingback

Areaofarectangle=LengthxWidth

6cmx2cm=12cm2

Today,wearelearning to

• Findthearea ofcompoundshapesmadeupoftworectanges

Successcriteriaforthislesson

Ican:

• splitacompoundshapeintotworectangles.

• findtheareaofeachrectangle.

• addthetwoareastogether.

• Calculating theareasofrectangles(including squares)using multiplication of sidelengths

NZC

Howcouldweuseournew

knowledge

Areaofrectangle=LengthxWidth toworkouttheareaofthisshape?

Calculatingarea

Area ofRectangleA

Area =10x5 =50cm²

Area ofRectangleB

Area =7x4 =28cm²

Totalareaofshape

Area =50+28=78cm²

Wecanbreakitupintwoways:

Word problem

Aschoolprincipalwantstoreplacethecarpetina classroomandneedstoknowtheareaofthefloor.

• Itisarectangularclassroom,measuring15mx5m.

• Theclassroomalsohasasmallrectangularspace offthesidemeasuring3mx2m.

• Pleasecalculatethetotalareatocarpet.

Firststepistoalways drawadiagram tohelpyouvisualise,andtorecordthe sidelengthandwidth measurements.

Trythis! Youdo

• Findthearea oftheclassroomintheword problem

• Usewhiteboard oryourmathsbook torecordyour calculations

AreaofRectangleA

Area =15x5 =75m²

AreaofRectangleB

Area=2x3 =6m²

Totalareaofclassroom

Area=75+6=81m²

OpenyourStudentWorkbookand completethisactivity:

Gotopage

Connectandreflect Think Pair Share

Canyoucalculatetheareaofthisshape?

EndofLesson 4

Overtoyou!

• CompletetheReview quizonlineor onpaper.

Today,wearegoingto 5

Revise Enrich or

yourunderstandingfromthis week!

• Challengeyourselfwiththe Richtaskforthistopic!

Overtoyou!

• Completethe

• Topic 3.2Richtask:Creatinggraphs

Turn static files into dynamic content formats.

Create a flipbook
Mathematics and Statistics for Aotearoa New Zealand | Teaching slides sample - Year 5 by OUPANZ - Issuu