multiply 2-digits (area model) amir is using base 10 to ......multiply 2-digits (area model) 1 kim...
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Multiply 2-digits (area model)
1 Kimisusingbase10toworkout31×22
UseKim’smodeltohelpyoucompletethesentences.
×
30
1
20 2
Thereare onesaltogether.
Thereare tensaltogether.
Thereare hundredsaltogether.
31×22=
2 Usebase10toworkoutthemultiplications.
a) 12×14= b) 23×13=
3 Amirisusingbase10tocalculate31×24
a) Addthemissinginformationtotheareamodelandcomplete
thesentences.
×
Thereare onesaltogether.
Thereare tensaltogether.
Thereare hundredsaltogether.
b) Describeanyexchangesyouneedtomake.
c) Completethemultiplication.
31×24=
4 Usebase10toworkoutthesemultiplications.
a) 25×15= b) 36×12=
©WhiteRoseMaths2019
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©WhiteRoseMaths2019
5 Usetheplacevaluecounterstocompletethemultiplicationgrid
andsentence.
× 10 10 1 1 1 1 1 1
10
10
10
100
100
100
100
100
100
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1 1 1 1 1 1
1 1 1 1 1 1
× 20 6
30
2
26×32=
6 Useanareamodeltohelpyoucompletethemultiplication.
a) 28×14= c) 35×22=
× 20 8
10
4
b) 27×16= d) 45×36=
×
7 Completethemultiplications.
21×24= 31×25=
18×26=
8 24× =768
Completetheareamodeltofindthemissingnumber.
×
9 Useeachdigitcardoncetowriteamultiplication.
× =
Howmanydifferentanswerscanyoufind?
Howmanyproductsaretherebetween1,000and1,500?
3 4 52
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Multiply 4-digits by 2-digits
1 Completethemultiplication.
1 2 3 4
× 2 1
1 2 3 4
2 4 6 8 0
(1,234× )
(1,234× )
2 Tommyiscalculating1,234×26
a) Completehisworkingout.
1 2 3 4
× 2 6
71 42 02 4
2 4 6 8 0
( × )
( × )
b) FillinthegridtocheckTommy’sworkingisaccurate.
Youmayuseplacevaluecounterstohelp.
× 1,000 200 30 4
20
6
3 Rosieiscalculating2,541×42
HereisRosie’sworking.
a) Rosiehasmadetwomistakes.Whatarethey?
b) Whatisthecorrectanswer?
4 Workoutthemultiplications.
a) 4,284×23 b) 2,142×46
Whatdoyounotice?
©WhiteRoseMaths2019
2 5 4 1
× 4 2
41 0 8 2
82 01 6 4
11 2 11 4 6
(2,541 × 2)
(2,541 × 40)
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©WhiteRoseMaths2019
5 Amachinemakes2,734boxeseveryhour.
Themachineworksfor3hourseachday.
a) Howmanyboxeswillitmakein12days?
b) Comparemethodswithapartner.Werethereanyotherways
youcouldhaveworkedouttheanswer?
6 Workout378×7×12
Showyourmethodclearly.
7
a) Usingallthedigitcards,create4differentcalculationsandwork
outtheanswertoeach.
b) Writeyouranswersinascendingorder.
c) Whatisthesmallestproductthatcanbemade?
8 Amirscores4,680pointsinacomputergamefor12gamesinarow.
Whitneyscores2,512pointseverygamefor24games.
Whoscoresmorepoints?
Howmanymore?
2 3 4 5 61
×
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Divide with remainders
1 a) Circlethegroupsof3tohelpcompletethesentences
andcalculation.
Thefirststephasbeendoneforyou.
Th H T O
1,000
1,000
1,000
100
100
100
100
100
100
100
100
100
10
10
10
1 1
1 1
1 1
1 1
1
3 3 9 3 8
Thereis 1 groupof3thousands.
Thereare groupsof3hundreds.
Thereis groupof3tens.
Thereare groupsof3ones.
Thereare onesleftover.
3,938÷3= remainder
b) Useplacevaluecounterstoworkout8,407÷4
Th H T O
4 8 4 0 7
8,407÷4= remainder
2 a) Completethedivisions.
Useplacevaluecounterstohelpyou.
3 7 5 9 5
4 8 5 6 7
5 6 5 6 2
3 3 9 3 5
b) Write<,>or=tocompletethestatements.
7,595÷3 8,567÷4
6,562÷5 3,935÷3
©WhiteRoseMaths2019
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©WhiteRoseMaths2019
3 Writethecalculationsinthecorrectcolumnofthetable.
5,066÷4
6,562÷4
9,513÷4
6,563÷4
1,234÷4
9,515÷4
Remainderof1 Remainderof2 Remainderof3 Remainderof4
Areanycolumnsempty?Talktoapartneraboutwhythis
hashappened.
4 7,816 7,861 6,781 1,786
IsEvacorrect?
Howdoyouknow?
5 Thereare459childreninaschool.
Theyaresittingattablesingroupsof7
DoyouagreewithMo?
Explainyouranswer.
6 Bagsofcrispsareputintomultipacksof6
Themultipacksarethenpackedintoboxesof8
Yesterday,6,500bagsofcrispswerepacked.
Howmanyboxesofcrispswerepacked?
7
÷
a) Howmanywayscanyoucompletethecalculationusingallthe
digitcardssothatthereisaremainderof1?
b) Whatdoyounotice?
8 Doraisthinkingofanumberbetween500and600
Whenshedividesitbya1-digitnumberithasaremainderof4
WhatcouldDora’snumberbe?
I know that if I divide these numbers by 5 the
remainder will be 1
We will need 65 tables.
2 3 4 5
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Calculate perimeter
1 Calculatetheperimeterofeachshape.
a) c)
b) d)
2 Calculatetheperimeteroftheseshapes.
a)
b)
3 Calculatetheperimeteroftheseshapes.
a) b)
©WhiteRoseMaths2019
1cm
1cm
1cm
1cm
1cm
1cm1
cm1cm
8cm
8cm
3cm 3cm
8cm
10cm
6cm
7cm
4cm
3cm
7cm
5cm
2cm
6cm
3cm
2cm1cm
7cm7cm
4cm
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©WhiteRoseMaths2019
4 Workoutthemissinglengthsontheseshapes.
a) b)
Discusswithapartnerhowyouworkedthemout.
5 Calculatetheperimeteroftheseshapes.
a) b)
6 Mothinksthatthereisnotenoughinformationtocalculatethe
perimeteroftheshape.
Ishecorrect?Howdoyouknow?
7 Rosieismakingshapesmadeupof3rectangles.
Eachrectanglehasalengthof10cmandawidthof4cm.
Shemakesthese2shapes.
a) Whichshapehasthegreatestperimeter?
b) Whatothershapescanyoumakewith3rectangles?
Whatistheperimeteroftheshapes?
cm
cm
3cm
7cm
5cm
4cm
2cm
4cm
9cm
10cm
3cm
cm
10cm
6cm cm
2cm
3.5cm
4cm
3.5cm
9.2cm 9.2cm
17cm
9cm
3cm
AB
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Add whole numbers with more than 4 digits (column method)
1 Completethecalculations.
a)
+
b)
+
2 Completethecolumnadditions.
7 4 3 5 7 4 3 5
+ 2 4 5 6 + 2 4 6 6
7 4 3 5 7 4 3 5
+ 2 5 6 6 + 3 5 6 6
Whatdoyounoticeabouteachaddition?
Whatstaysthesame?Whatchanges?
3 Completetheadditions.Usetheplacevaluecharttohelpyou.
TTh Th H T O
10,000
10,000 1,000
1,000
1,000
100
100 10
10
10
10
1 1
1 1
1
a) 23,245+14,323=
b) 23,245+14,328=
c) 23,245+14,846=
d) +23,245=35,490
2 1 6 4
+ 3 2 1 3
4 2 7 5
+ 2 6 4 3
©WhiteRoseMaths2019
Th H T O
1,000
1,000 100 10
10
10
10
10
10
1 1
1 1
1,000
1,000
1,000
100
100 10 1 1
1
Th H T O
1,000
1,000
1,000
1,000
100
100 10
10
10
10
10
10
10
1 1
1 1
1
1,000
1,000 100
100
100
100
100
100
10
10
10
10
1 1
1
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©WhiteRoseMaths2019
4 Usethecolumnmethodtoworkouttheadditions.
a) £36,000+£19,420 c)843cm+15,611cm
b) 40,720g+6,872g d) £17,320+£6,009+£34,871
5 Thetableshowsthenumberofhomeandawayfansattending
threefootballmatches.
Match Homefans Awayfans
1 53,640 12,930
2 42,630 18,340
3 35,480 32,490
Whichmatchhadthegreatesttotalattendance?
6 Completetheadditions.
a) b)
7 Completetheadditions.
a) 735+ =1,000
b) 1,026+ =10,000
c) +872=10,000
8 MrHallhaswrittentheseadditionsontheboard.
324,846 + 12,475 17,654 + 2,935
Dexter’s workings Eva’s workings
ExplainthemistakesthatDexterandEvahavemade.
4 1
+ 2 8 4
8 9 9 2 6
4 9
+ 2 8 4
8 9 9 2 6
3 2 4 8 4 6+ 1 2 4 7 5
3 3 6 2 1 11 1 1
1 7 6 5 4+ 2 9 3 5
4 7 0 0 41 1 1