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MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

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Page 1: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication
Page 2: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication
Page 3: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication
Page 4: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication
Page 5: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

MATHEMATICSSTANDARD THREE

TERM II

1

Page 6: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

2

1. Identify the number of items in each group.

A group of 2 hens

Agroupof flowers

A group of books

Thesearethegroupswithdifferentnumberofitems.

Listsomegroupofitemsindifferentnumbers.

A group of 10 Mangoes

1.

2.

3.

4.

5.

1 Multiplication

1ACTIVITY

Example

Page 7: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

3

2. Identify the groups with equal number of items. Group A Group B Group C

Group D Group E

Thegroups ,and haveequalnumberofitems.

Listsomepairofgroupswithequalnumberofitems.

Agroupof3locks ; Agroupof3keys

Agroupof5pencils ; Agroupof5erasers

1.

2.

3.

4.

5.

2ACTIVITY

Example

Page 8: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

4

Fill in the following

1.

3 + 3 + 3 + 3 =

groupsof brusheseachisbrushesinall.

2.

4 + 4 =

groupsof potseachis potsinall.

Thereare3groupsof2pencilseach

2+2+2=6pencils

Look at this

Letusdothefollowingexercise

1Exercise

Wheneachgrouphasthesamenumberofitems,tofindthetotalnumberofitems,wecanuseanothermethodcalled

Multiplication.

Page 9: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

5

Knowledge

Bank

Multiplication fact

3 + 3 + 3 + 3 + 3 = 15

5groupsof3pigeonseachis15.

Thiscanbewrittenas5X3=15

Notethatweusedmultiplicationinsteadofrepeatedaddition

‘X’isthesymbolusedformultiplication

Multiplication is

nothing but repeated addition.

TotalnumberofpigeonsNumberofgroups

Numberofpigeonsineachgroup

5 X 3 = 15

5 X 3 = 15Multiplicand Product

Multiplier

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Numberofgroups =4

Numberoffishineachgroup =3

Numberoffishinall =12

Additionfact =3+3+3+3=12

Multiplicationfact =4X3=12

Fill in :

(1)

Numberofgroups =

Numberofballsineachgroup =

Numberofballsinall =

Additionfact =

Multiplicationfact =

2Exercise

Example

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(2)

Numberofgroups =

Numberofelephantsineachgroup =

Numberofelephantsinall =

Additionfact =

Multiplicationfact =

(3)Rewritethefollowingmultiplicationfactsintorepeatedaddition.

1)6X3=3+3+3+3+3+3

2)4X5=+++

3)7X4=++++++

4)4X2=+++

5)2X10=+

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(4)Rewritethefollowingintomultiplicationfacts.

1) 6 + 6 + 6 + 6 + 6 =5X6

2)9+9+9+9=4X

3) 8 + 8 + 8 =

Construction of multiplication tables

One box of 2 stars Additionfacts Multiplication

facts

2 1x2=2

2+2 2x2=4

2+2+2 3x2=6

2+2+2+2 4x2=8

2+2+2+2+2 5x2=10

2+2+2+2+2+2 6x2=12

2+2+2+2+2+2+2 7x2=14

2+2+2+2+2+2+2+2 8x2=16

2+2+2+2+2+2+2+2+2 9x2=18

2+2+2+2+2+2+2+2+2+2 10x2=20

Multiplicationtable 2

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Multiply by 2 :

X 1 2 3 4 5 6 7 8 9 10

2 2 4 6

Fill in :

a)8 X 2=

b)7 X 2=

c)9 X2=

d)6 X 2=

e)10 X 2=

f)5 X 2=

Iliketojumpby2!

Shall we say multiples of 2 ?

3Exercise

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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One group of 3 persons Addition factsMultiplication

facts

3 1 X 3 = 3

3+3 2 X 3 = 6

3+3+3 3 X 3 = 9

3+3+3+3 4 X 3 = 12

3+3+3+3+3 5 X 3 = 15

3+3+3+3+3+3 6 X 3 = 18

3+3+3+3+3+3+3 7 X 3 = 21

3+3+3+3+3+3+3+3 8 X 3 = 24

3+3+3+3+3+3+3+3+3 9 X 3 = 27

3+3+3+3+3+3+3+3+3+3 10 X 3 = 30

Shall we say multiples of 3?

Usingthetable,practiseit

X 1 2 3 4 5 6 7 8 9 10

3 3 12 21

If you add or multiply me by myself the result will be the same. Who am I?

Puzzle

Iliketojumpby3!

Multiplicationtable 3

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

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1. Fill in :

3X3=

2. Fill in :

4X3=

Puzzle !

1. X = 6

X = 9

X = 4

Findoutthenumberin and

3. Complete the Table.

X 2 31 3234 856 18789

10 20

4Exercise

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Placethenumberintheboxessuch

thattheproductofthediagonal

numbersshouldbe12.

One chair of 4 legs Addition facts Multiplication facts

4 1X4=4

4+4 2X4=8

4+4+4 3X4=12

4+4+4+4 4X4=16

4+4+4+4+4 5X4=20

4+4+4+4+4+4 6X4=24

4+4+4+4+4+4+4 7X4=28

4+4+4+4+4+4+4+4 8X4=32

4+4+4+4+4+4+4+4+4 9X4=36

4+4+4+4+4+4+4+4+4+4 10X4=40

3

12

2

2.

Multiplicationtable 4

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X 1 2 3 4 5 6 7 8 9 10

4 8 20

Usingthetable,practiseit

5Exercise

Drawanumberlineandmarkonlyfirst5multiplesof4onit.

1. Aflowerpotcontains4flowers.Howmanyflowersaretherein6suchflowerpots?

2. Fillin:

2X = 8 8X4=

4X4 = X4=40

X4 = 20 7X=28

3X = 12 9X4=

X =

3ACTIVITY

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One flower of 5 petals Addition factsMultiplication

facts

5 1X5=5

5+5 2X5=10

5+5+5 3X5=15

5+5+5+5 4X5=20

5+5+5+5+5 5X5=25

5+5+5+5+5+5 6X5=30

5+5+5+5+5+5+5 7X5=35

5+5+5+5+5+5+5+5 8X5=40

5+5+5+5+5+5+5+5+5 9X5=45

5+5+5+5+5+5+5+5+5+5 10X5=50

3. Completethetable.

X 2 3 412 43 94 1656 187 2889 18

10

Multiplicationtable 5

4. Fillthecircles.

2 6 3

24 6

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Drawanumberlineandmarkonlyfirst5multiplesof5onit.

1. Completethetable. 2.Fillintheboxes.

X 2 3 4 51 42 103 645 156 247 148 409 27

10

3.Keepthefruitsintheirappropriateplates.

22 9 35 14 25 21 27 5 16

Multiplesof3 Multiplesof5 Multiplesof2

X 1 2 3 4 5 6 7 8 9 10

5 10 25 40

Usingthetablepractiseit

The units place in the product is either 0 or 5

6Exercise

3 X = 15

X 5 = 45

8 X = 40

X = 25

X 5 = 5

2 X 5 =

10 X 5 =

4ACTIVITY

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4groupsof3brinjals 3groupsof4brinjals

One bundle of 10 sticks Addition facts Multiplication

facts

10 1X10=10

10+10 2X10=20

10+10+10 3X10=30

10+10+10+10 4X10=40

10+10+10+10+10 5X10=50

10+10+10+10+10+10 6X10=60

10+10+10+10+10+10+10 7X10=70

10+10+10+10+10+10+10+10 8X10=80

10+10+10+10+10+10+10+10+10 9X10=90

10+10+10+10+10+10+10+10+10+10 10X10=100

See the magic!

4 X 3 = 3 X 4 = 124groupsof3itemsand3groupsof4itemscontainthesame12items

Multiplicationtable 10

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X 1 2 3 4 5 6 7 8 9 10

10

Usingthe10beadsandstringsfromtheself-learningmaterialinmaths,formthemultiplesof10.

Circlethemultiplesof10.

Knowled

ge

Bank

See the unit digitsintheproduct

Oh!alltheproductshaveunitdigitaszero

Sowecansaythenumbersendwithzeroaremultiplesof10

Usingthetablepractiseit

5ACTIVITY

6ACTIVITY

80

50

15 63 70 19

22

77

84 51 40

60202342

7566

1091

616

100

90

44

3057 44

34

Page 22: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

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7Exercise

flowersonthewhole

flowers inthe 3rd pot

flowers inthe 2nd pot

flowersinthe 1st pot

1.Completethemultiplicationtable.X 2 3 4 5 101 102 63 64 1656 3078 809 18

10

Multiplication with zero

Observethatthereisnoflowerinanyoftheflowerpots.

Thiscanbewrittenas

0 + 0 + 0 = 0

0 + 0 + 0 = 0

3X0=0

Thatis,ifwemultiplyanynumberwithzerothentheproductiszero. Notethat, ifwemultiplyzerowithanynumber,thenalsotheproductiszero.

3X0=0X3=0

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Practise by saying

Multiplication table 2 Multiplication table 3 Multiplication table 4

1x2=2 1 X 3 = 3 1X4=4

2x2=4 2 X 3 = 6 2X4=8

3x2=6 3 X 3 = 9 3X4=12

4x2=8 4 X 3 = 12 4X4=16

5x2=10 5 X 3 = 15 5X4=20

6x2=12 6 X 3 = 18 6X4=24

7x2=14 7 X 3 = 21 7X4=28

8x2=16 8 X 3 = 24 8X4=32

9x2=18 9 X 3 = 27 9X4=36

10x2=20 10 X 3 = 30 10X4=40

Multiplication table 5 Multiplication table 10

1X5=5 1X10=10

2X5=10 2X10=20

3X5=15 3X10=30

4X5=20 4X10=40

5X5=25 5X10=50

6X5=30 6X10=60

7X5=35 7X10=70

8X5=40 8X10=80

9X5=45 9X10=90

10X5=50 10X10=100

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1X5= 5

2X5= 10

3X5= 15

4X5= 20

5X5= 25

6X5= 30

1X4=4

2X4=8

3X4=12

4X4=16

5X4=20

Multiplication facts in life situations

An elephant has 4 legs. How many legs will 5 elephants have?

Numberofelephants =5

Numberoflegsforanelephant=4

Saythemultiplicationtable4upto5X4

Totalnumberoflegsfor5elephants=5X4=20

ThestudentsofclassIIIsitin6rows.Inonerowthereare5students.Findthenumberofstudentsintheclass.

Numberofrows =6

Numberofstudentsin1row =5

Totalnumberofstudentsintheclass=6X5

Saythemultiplicationtable5upto6X5

Totalnumberofstudents=30

Example

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Thereare3pencilsina packet. How manypencils are there in 6suchpackets?

8Exercise

Number of packets =

Number of pencils =

Total number of pencils =

In a class each student has 5 books.Howmany books do 9 studentshave?

Number of students =

Number of books =

Total number of books =

Ramgavesweetsto10 students. Each studentgot 4 sweets. Find outthe number of sweets distributedbyRam?

Number of students =

Number of sweets =

Total number of sweets distributed by Ram =

Thereare3applesina

box.Howmanyapples

aretherein8boxes?

Number of boxes =

Number of apples =

Total number of apples =

There are 5 colour pencils in one packet.Find the number of colourpencilsin9suchpackets?

Number of packets = Number of colour pencils = Total no. of colour pencils =

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T O

1 2

3 6

Step2:

Thenmultiplytens 3X1ten=3tens

(i) Find the product:

3

Example

T O

3 2

4

X 2

32X2=64

T O

3 2

6 4

X 2

12X3=36

9Exercise

T O

2 3 X 3

23X3=

T O

2 3 X 3

1

Page 28: MATHEMATICS AND ENVIRONMENTAL STUDIES Book 1 … · 18 Exercise 7 flowersn o the whole flowersn i the 3rd pot flowersn i the 2nd pot flowersn i the 1st pot 1.omplete C the multiplication

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T O

4 3 X 2

43X2=

T O

4 3 X 2

2

T O

4 0 X 2

40X2=

T O

4 0 X 2

3

(ii)Findtheproductusingmultiplicationtables:

a 23X2 d 32X3

b 20X4 e 11X5

c 44X2 f 22X4

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Step2:

Findtheproductof23X5

Step1:

Step2:

X 3

1 � Multiply1tenby3 3X1ten=3tens

� Addwith1ten(regrouped) 3 tens + 1 ten = 4 tens

� Write4intensplace

H T O

1 4

4 2

24X3=72

Example

X 5

1 � Multiply3onesby5 5X3ones=15ones.

� 15 ones = 1 ten + 5 ones.

� Write5onesunderonesplace.

� Carryover1totensplace.

H T O

2 3

5

X 5

1 � Multiply2tensby5. � Addwith1ten(regrouped). � 10 tens + 1 ten = 11 tens 11tens=1hundred+1ten.

� Write1intensplaceand 1inhundredsplace.

H T O

2 3

1 5

1

14X3=42

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Step3:

1)Findtheproduct:

a 32X4 c 42X2 e61X5

b 23X3 d 20X2 f21X5

2)Findtheproduct:

a 14X3 c 23X4 e 62X5

b 48X2 d 24X5 f 26X3

X 5

1

H T O

2 3

1 1 5

1

23X5=115

10Exercise

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1. Colour the pair of numbers adjacent to each other whose product is 12.

6 2 8 3 4

2 7 1 6 3

4 3 12 4 3

4 9 1 8 1

3 4 7 1 12

2. We can construct multiplication tables through sticks.

Letusconstructthemultiplicationtable3

Project

1X3=32X3=63X3=94X3=125X3=156X3=187X3=218X3=249X3=2710X3=30

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± Take3sticksandkeepthemvertically.

± Takeonestickandkeepitacrossasshownabove.

± Countthenumberofpointswheretheymeeteachother.

± Therearethreemeetingpoints.

± 1timeof3meetingpoints=3or1X3=3.

± Takeonemorestickandkeepitacrossasshownabove.

± Countthetotalnumberofmeetingpoints,itis6.

± 2timesof3meetingpointsis6or2X3=6.

± Continuethisprocesstoget3times,4timesetcupto10times.

3. Multiplication tables through playway method.

Letusconstructthemultiplicationtable4.

Step1:Draw4circlesin10rows.

Step2:Fillthenumbers1to40insidethecircles.

Step 3:Thenumbersinthelastcolumn willbetheproduct.

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

17 18 19 20

21 22 23 24

25 26 27 28

29 30 31 32

33 34 35 36

37 38 39 40Constructother tablesandenjoy

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Mental sums

Ram’sageis30years.Hisfather’sageis

twiceRam’sage.Findtheageofhisfather.

Geethascored45marksinanexam.Inthenextexamshescoreddoubleofit.Howmuchdidshe

scoreinthenextexam?

Sanjeevescored48runsinthefirstmatch.Hescoreddoubleinthesecondmatch.Howmuch

didhescoreinthesecondmatch?

Seetha’sweightis16kg.Herbrotherkrishna

weighsdouble.Whatistheweightofkrishna?

Sheelaboughtadozenofplantain. Sarobought4lessthandoubleofit. Howmanyplantainsdidsarobuy?

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2 Ramhas6apples.Hewantstogiveequalnumberofapplesto2children.

HowdoIshareequally?

Firstgiveonetoeach

4applesremain

‘‘Equalsharing’’isknownas“Division”.

Eachchildgot3apples

DiViSion

Nextgiveonemoretoeach

2applesremain

Finallygiveonemoretoeach

Noapplesremain

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ThusRamdivided6applesequallybetweenthe2childrenwiththehelpofhissistervidhyaandfinallyeachchildgot3apples.

Numberofapples = 6

Numberofpersons = 2

Numberofappleseachgot = 3

Wewritethisas 6 2 = 3

Thisisreadas6dividedby2isequalto3

6 2 = 3iscalledas“divisionfact”

symbolrepresents“division”

Letusseehowvidhyadivided6applesequallyintogroupsof2each.

Shedivided6applesinto3groupsof2each.

Inthiscase,whatisthedivisionfact?

Itissimple.6 2 = 3

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Completethetablebydividingthegivenitemsequally.

Totalnumberofitems

Numberofitems in a group

Totalnumber of groups

8Pencils 4Pencils 2 Groups 9 Erasers 3 Erasers15Pebbles 3 Groups20Seeds

Asgivenintheexample,completethefollowingdivisionfacts.

8 4=?

Thedivisionfactis8 4 = 2

a. 4 2 = b. 9 3 =

Example

1Exercise

1ACTIVITY

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Division is repeated subtraction

Division is not only sharing equally but it is also repeatedsubtractionofthesamenumber.

Thereare6toys.Letusdividethesetoysequally.

1st time,keeponetoyoneachtable

Subtract2from6 6 2 = 4

2ndtime,keepagainonetoyoneachtable

Subtract2from4 4 2 = 2

3rdtime,keepagainonetoyoneachtable

Subtract2from2 2 2 = 0

Wehaverepeatedlysubtracted2from6,threetimes.

That is 6 2 = 3

Division is nothing but, “repeatedsubtraction”

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Division through repeated subtraction :

15 3

Letussubtract3from15repeatedly

1 5

– 3 1st time

1 2 – 3 2ndtime

9 – 3 3rdtime

6 – 3 4th time

3 – 3 5th time

0

Thus3issubtractedfrom15,5times.

Therefore 15 3 = 5

Divide through repeated subtraction:

a. 15 3 b. 12 4

Example

15 3 = 12 4 =

2Exercise

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Relation between multiplication and division.

Someballsarearrangedasfollows:

Multiplication Division-1 Division-2

Total numberofballs

Fromtheabovetableweseethatthemultiplicationfacthastwodivisionfacts.

12 4 = 3

4X3=12

12 3 = 4

But,ifthesamenumbersaremultiplied,therewillbeonlyonedivisionfact.

Foreachmultiplicationfactthereare2divisionfacts

3X3=9Multiplication

fact

9 3 = 3

DivisionfactExample

4X3=12 12 3 = 4 12 4 = 3

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Do the following :

Multiplication fact Division facts

3X2=6 6 3 = 2 6 2 = 3

4X3=12

7X2=

6X5=

3X3=

5X4=

2X0=

4X4=

9X0=

8X5=

Ifanumberismultipliedwithzero,ithasonlyonedivisionfact.

Note

5X0=0Multiplication

fact

0 5 = 0

DivisionfactExample

Zero Anynonzeronumber= Zero

3Exercise

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Division table

Using the multiplication tables we can get a lot of divisionfacts.

Constructthedivisionfactsforthemultiplicationtable2

Multiplicationtable2 Divisionfacts1X2=2 2 2 = 1 2 1 = 22X2=4 4 2 = 2 4 2 = 23X2=6 6 2 = 3 6 3 = 24X2=8 8 2 = 4 8 4 = 25X2=10 10 2 = 5 10 5 = 26X2=12 12 2 = 6 12 6 = 27X2=14 14 2 = 7 14 7 = 28X2=16 16 2 = 8 16 8 = 29X2=18 18 2 = 9 18 9 = 210X2=20 20 2 = 10 20 10 = 2

Simple Division Problems

(a)Divisionwithgrouping:

Divide24starsintogroupsof4starseach

Project Trytoconstructthedivisionfactsforthetables3,4,5and10.

Makegroupsof4starseach

24starscanbedividedinto6groupsof4starseach

24 4 = 6

Example

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1)Divide12booksintogroupsof3bookseach.

12 3 =

2)Divide15candlesintogroupsof5candleseach.

15 5 =

3)Divide16flowersintogroupsof2flowerseach.

16 2 =

4)Divide12diceinto4equalgroups.

12 4 =

5)Divide20keysinto2equalgroups.

20 2 =

4Exercise

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Example 1

Saythe multiplicationtable3tillyougetproduct15.

Example 2

Saythe multiplicationtable5tillyougetproduct30.

1X5=5

2X5=10

3X5=15

4X5=20

5X5=25

6X5=30

5Exercise

Division using multiplication tables :

Divide15 3

15 3 = 5

Divide30 5

30 5 = 6

Divide :

1. 15 3 =

2. 18 2 =

3. 20 10 =

4. 28 4 =

5. 10 5 =

6. 16 4 =

7. 35 5 =

8. 27 3 =

9. 25 5 =

1X3=3

2X3=6

3X3=9

4X3=12

5X3=15

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acubitahandspan

a footspanapace

Length of the Pen =5 erasers.Lengthofthetable=5sketchpens

Recall

lEnGtH

Wemeasurethelengthoftheobjectstofindouthowlongtheyare.Wecanmeasurethelengthusingnonstandardunitssuchas

Similarlywecanmeasurethelengthusingobjects.

3

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1.Classtableis...................cubitlong.

2.Lengthofyourclassroomis...................pacelong.

3.Mathsbookis..................handspanlong.

4.Classroomis..................footspanlong.

Need for a standard Unit

Takearope.Measureitinhandspanandfillthetablegivenbelow.

S.No Nameofthestudents Length of the rope (inhandspan)

1.2.3.4.

Lookattheabovemeasurements.

Arethesemeasurementssame?

No,theyarenotthesame.Becauseeachhandspanofthe studentsisdifferent.

So,weneedastandardunittomeasurethelength.

1ACTIVITY

2ACTIVITY

We use a metre or centimetre scale to measure length

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10 mm

Standard unit of length

Millimetre

Millimetre is the smallest unit ofmeasuring length. It is usedtomeasuresmallmeasurements.Lookcloselyatyourruler.Youwillseeverysmalllinesbetweentwonumbersonthecentimetrerulerasshownbelow.Thesearecalledmillimetre.Itiswrittenasmm.

Centimetre

Lookatthepicture:

Thethicknessofthebookis10mm. This is otherwisewrittenas1cm.

Centimetreisthenextimmediatehigherunitofmeasuringlengthtothatofmillimetre.

Itiswrittenascm.

Remember10 ones = 1 ten

10 mm = 1 cm

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Metre

Lookatthepicture:

Theshopkeeperusesthemetrescaletomeasureclotheswhichconsistsof100cm.

Metre is thenextapplicablehigherunitofmeasuring length tothatofcentimetres.Itiswrittenasm.

Kilometre

Lookatthepicture:

Thebuscoversthedistanceinkilometre.

1kilometreconsistsof1000m.

Kilometreisthebiggerunitoflengththanmetre.

Itiswrittenaskm.Itisusedtomeasurelongdistance.

100 cm = 1 m

1000 m = 1 km

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Completethetablebywritinganytwoplacesinyourschool/ localityandfindthedistancebetweentheminmetres/kilometreswiththehelpofyourteacher.

PlaceI PlaceII Distancebetweenthem

Measuring in Centimetres

Placethezeromarkoncentimetreruleragainstoneendoftheobject.Readthenumberattheotherend.

Measurethelengthofobjectssuchaspencilbox,duster,mathsbook,crayanwhichyouhaveandtabulatethem.

4ACTIVITY

3ACTIVITY

Pencil is 14 cm long.

Eraser is 4 cm long.

Pen is 12 cm long.

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Measure the heights of the students in your

class in centimetre and tabulate them.

S.no NameofthestudentHeightofthestudent(incm)

Estimate the length of the following objects and verify it.

S.noNameoftheobjectsEstimatedlengthActuallength

1. Chalkpiece

2. Duster

3. Pencilbox

4. Table

5. Bench

6. Blackboard

Tabulate the estimated length and actual length of thematerialsavailableinyourenvironment.

5ACTIVITY

6ACTIVITY

Project

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Recall

Look at the picturesList out the objects in descending order based on your estimation of their weight.

Chalk pieces Hand Kerchief Pencil Box

Duster Book

WEIGHT

Every object has its own weight!

1 2

3 4

5

What do you infer from the above activity?

4

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Can you guess which school bag is heavier?

In each group circle the object which is heavier?

1Exercise

Try it!

1

2

3

4

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1

2

Simple Balance

Lookatthepicture.Useathinstick,threadandplasticplates.Make asimplebalance

Weighing objects using non-standard units

Now we measure the weight of the given objects by non-

standardunitsusingsimplebalance.

Weight of one box

= 4 pens

Weight of one watermelon

= 3 coconuts

Example

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Observethepicturesfindouttheweightoftheobjects.

2Exercise

1

2

3

Weightofonechick

= ________balls.

WeightofonePapaya

=_______apples.

WeightofonePineapple.

=________dolls.

Project

Weigh some objects by your locally available non standard units such as seeds, stones etc., using

the simple balance and tabulate your result.

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5

Theamountofliquidthatacontainercanhold isthecapacityofthecontainer.

Container A Container B Mug

ContainerAholds25mugsofwater. ContainerBholds18mugsofwater. Whichcontainerhaslargercapacity?

Answer : _______________

Thepotisfilledwith9jugsofwater.

So,thecapacityofthepotis9jugs.

capacitY

Example

In non-standard units for measuring capacity, we use a small

containertofindoutthecapacityofbig container.

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1

2

3

4

5

Find out the measurement of the following container :

Twoofmilkfillone

Thecapacityofthe is=2

Eight ofwaterfillone

Thecapacityofthe is=

Oneholds15 oftea.

Thecapacityofthe is=

Five ofjuicefillone.

Thecapacityofthe is=

Ten ofoilfillone.

Thecapacityofthe is=

1Exercise

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B Dividethestudentsintofourgroups.

B Foreachgroupgivedifferentsizeofbuckets.

B Givethesamesizeofjugtoeachgroup.

B Askthemtofilltheirbucketswithwaterusingthejug.

Compare the capacity of the buckets and discuss:

Arrange the groups based on the capacity of the buckets: > > >

Name of the groups Capacity of the buckets

ABCD

1ACTIVITY

Forfillingaparticulartank,Kalaneeds40potsofwaterwhereasSathyaneeds50potsofwater.

Findoutthereason.

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1) Whichvesselhelpsquickerinfillingacontainer?

Thecapacityofthecontaineris5mugs(or)

Thecapacityofthecontaineris3mugs.

Answer : _____________________________

2) If a narrow container holds 8 bottles of petrol and a widercontainerholds8bottlesofdiesel then thecapacityofnarrowcontainer is ___________ the capacity of wider container (greaterthan/equalto/lessthan)

3) Abeakerholds25cupsofmilk.Thecapacityof thebeaker is_________cups.

4) Aflaskwasfilledwith7cupsoftea.Thenthenumberofsimilarcupsrequiredtomaketheflaskemptyis___________.

5) Thecapacityofthewatercanis30bottles.Thenthenumberofbottlesofsamesizethatwillfillanotherwatercanofsamesizeis____________ .

Date:......................

Comments

Teacher’ssignature

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