NCERT Textbook: How Many Squares? | Mathematics for Class 5: NCERT PDF Download

 Page 1


How Many Squares?
34
h
h
Measurethesideofthe squareon dottedsheet.
asmanyrectanglesaspossibleusing12suchsquares.
Howmanyrectanglescouldyoumake?________
red the Draw
here
Each rectangle is made out of 12 equal
squares,soallhavethesamearea,butthe
lengthoftheboundarywillbedifferent.
Whichoftheserectangleshasthelongestperimeter?
Whichoftheserectangleshasthesmallestperimeter?
h
h
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
2
00
INDIA
AMRITA SHERGIL
75  India
India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
Page 2


How Many Squares?
34
h
h
Measurethesideofthe squareon dottedsheet.
asmanyrectanglesaspossibleusing12suchsquares.
Howmanyrectanglescouldyoumake?________
red the Draw
here
Each rectangle is made out of 12 equal
squares,soallhavethesamearea,butthe
lengthoftheboundarywillbedifferent.
Whichoftheserectangleshasthelongestperimeter?
Whichoftheserectangleshasthesmallestperimeter?
h
h
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
2
00
INDIA
AMRITA SHERGIL
75  India
India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
How Many Squares?
34
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
Look at these interesting stamps.
a) How many squares of one centimetre
side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area?
How many squares of side 1 cm does this stamp cover?
How much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____
How much is the area of each of these stamps? ____ square cm.
d) The area of the smallest stamp is _____ square cm.
The difference between the area of the smallest and the
biggest stamp is _____ square cm.
Collect some old stamps. Place them on the square grid and find
their area and perimeter.
2
00
Hkkjr INDIA
ve`rk 'ksjfxy AMRITA SHERGIL
75  India
Hkkjr India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
Page 3


How Many Squares?
34
h
h
Measurethesideofthe squareon dottedsheet.
asmanyrectanglesaspossibleusing12suchsquares.
Howmanyrectanglescouldyoumake?________
red the Draw
here
Each rectangle is made out of 12 equal
squares,soallhavethesamearea,butthe
lengthoftheboundarywillbedifferent.
Whichoftheserectangleshasthelongestperimeter?
Whichoftheserectangleshasthesmallestperimeter?
h
h
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
2
00
INDIA
AMRITA SHERGIL
75  India
India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
How Many Squares?
34
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
Look at these interesting stamps.
a) How many squares of one centimetre
side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area?
How many squares of side 1 cm does this stamp cover?
How much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____
How much is the area of each of these stamps? ____ square cm.
d) The area of the smallest stamp is _____ square cm.
The difference between the area of the smallest and the
biggest stamp is _____ square cm.
Collect some old stamps. Place them on the square grid and find
their area and perimeter.
2
00
Hkkjr INDIA
ve`rk 'ksjfxy AMRITA SHERGIL
75  India
Hkkjr India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
36
c) Lookata10rupee-note.Isitsareamorethanhundredsquarecm?
d) Is the area of the blue shape more than the area of the yellow
shape? Why?
Guess
a) Which has the bigger area — one of your
footprintsorthepageofthisbook?
b) Which has the smaller area—two
five-rupee notes together or a hundred-
rupeenote?
e) Is the perimeter of the yellow shape more than the perimeter of
the blue shape? Why?
Trace your hand on the squared sheet on the next page.
HowBigisMyHand?
But my footprint
is wider. So whose
foot is bigger?
MyFootprints
My footprint
is longer!
How will you decide whose hand
is bigger — your hand or your
friend’s hand?
What is the area of your hand?
_______ square cm.
What is the area of your friend’s
hand? _______ square cm.
37
Reprint 2024-25
Page 4


How Many Squares?
34
h
h
Measurethesideofthe squareon dottedsheet.
asmanyrectanglesaspossibleusing12suchsquares.
Howmanyrectanglescouldyoumake?________
red the Draw
here
Each rectangle is made out of 12 equal
squares,soallhavethesamearea,butthe
lengthoftheboundarywillbedifferent.
Whichoftheserectangleshasthelongestperimeter?
Whichoftheserectangleshasthesmallestperimeter?
h
h
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
2
00
INDIA
AMRITA SHERGIL
75  India
India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
How Many Squares?
34
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
Look at these interesting stamps.
a) How many squares of one centimetre
side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area?
How many squares of side 1 cm does this stamp cover?
How much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____
How much is the area of each of these stamps? ____ square cm.
d) The area of the smallest stamp is _____ square cm.
The difference between the area of the smallest and the
biggest stamp is _____ square cm.
Collect some old stamps. Place them on the square grid and find
their area and perimeter.
2
00
Hkkjr INDIA
ve`rk 'ksjfxy AMRITA SHERGIL
75  India
Hkkjr India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
36
c) Lookata10rupee-note.Isitsareamorethanhundredsquarecm?
d) Is the area of the blue shape more than the area of the yellow
shape? Why?
Guess
a) Which has the bigger area — one of your
footprintsorthepageofthisbook?
b) Which has the smaller area—two
five-rupee notes together or a hundred-
rupeenote?
e) Is the perimeter of the yellow shape more than the perimeter of
the blue shape? Why?
Trace your hand on the squared sheet on the next page.
HowBigisMyHand?
But my footprint
is wider. So whose
foot is bigger?
MyFootprints
My footprint
is longer!
How will you decide whose hand
is bigger — your hand or your
friend’s hand?
What is the area of your hand?
_______ square cm.
What is the area of your friend’s
hand? _______ square cm.
37
Reprint 2024-25
36
HowBigisMyHand?
But my footprint
is wider. So whose
foot is bigger?
MyFootprints
h
h
h
Whose footprint is
larger yours or your
friend’s?
How will you decide?
Discuss.
Is the area of both your
footprints the same?
—
My footprint
is longer!
37
Reprint 2024-25
Page 5


How Many Squares?
34
h
h
Measurethesideofthe squareon dottedsheet.
asmanyrectanglesaspossibleusing12suchsquares.
Howmanyrectanglescouldyoumake?________
red the Draw
here
Each rectangle is made out of 12 equal
squares,soallhavethesamearea,butthe
lengthoftheboundarywillbedifferent.
Whichoftheserectangleshasthelongestperimeter?
Whichoftheserectangleshasthesmallestperimeter?
h
h
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
2
00
INDIA
AMRITA SHERGIL
75  India
India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
How Many Squares?
34
Length of the
boundary is called
. perimeter
3
Here s one! '
Childrenarenotexpectedtolearnthedefinitionoftheterm'area',butdevelopasenseofthe
concept through suitable examples. Give them many opportunities in the classroom to
compare things in terms of area and guess which is bigger. Things like stamps, leaves,
footprints,wallsoftheclassroometc.canbecompared.
35
Look at these interesting stamps.
a) How many squares of one centimetre
side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area?
How many squares of side 1 cm does this stamp cover?
How much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____
How much is the area of each of these stamps? ____ square cm.
d) The area of the smallest stamp is _____ square cm.
The difference between the area of the smallest and the
biggest stamp is _____ square cm.
Collect some old stamps. Place them on the square grid and find
their area and perimeter.
2
00
Hkkjr INDIA
ve`rk 'ksjfxy AMRITA SHERGIL
75  India
Hkkjr India 25
A
B
D
C
E
F
MeasureStamps
Stamp D covers 12
squares. Each square is of
side 1 cm. So the area of
stamp D is 12 square cm.
Reprint 2024-25
36
c) Lookata10rupee-note.Isitsareamorethanhundredsquarecm?
d) Is the area of the blue shape more than the area of the yellow
shape? Why?
Guess
a) Which has the bigger area — one of your
footprintsorthepageofthisbook?
b) Which has the smaller area—two
five-rupee notes together or a hundred-
rupeenote?
e) Is the perimeter of the yellow shape more than the perimeter of
the blue shape? Why?
Trace your hand on the squared sheet on the next page.
HowBigisMyHand?
But my footprint
is wider. So whose
foot is bigger?
MyFootprints
My footprint
is longer!
How will you decide whose hand
is bigger — your hand or your
friend’s hand?
What is the area of your hand?
_______ square cm.
What is the area of your friend’s
hand? _______ square cm.
37
Reprint 2024-25
36
HowBigisMyHand?
But my footprint
is wider. So whose
foot is bigger?
MyFootprints
h
h
h
Whose footprint is
larger yours or your
friend’s?
How will you decide?
Discuss.
Is the area of both your
footprints the same?
—
My footprint
is longer!
37
Reprint 2024-25
What is the area
of my footprint?
What is the area
of my footprint?
My skin has many
many folds. So I have
a big area! This way
the air all over me
keeps me cool.
Baby Rhino
Dog
Hen
38
h
h
Guess which animal’s footprint will have the same area as
yours. Discuss.
Here are some footprints of animals — in actual sizes. Guess
the area of their footprints.
39
Tiger
Make big squares and rectangles
like this to find the area faster.
At this stage children need not count each square. Encourage them to identify the largest
squaresandrectangleswithinafootprinttoknowtheirareaandthencountsmallsquaresfor
irregularshapes.Thoughareaofarectanglewillbedoneinchapter11,somechildrenmay
discoverthemselvesthattheycanfindtheareafasterthroughmultiplication.
Reprint 2024-25