Page 1

HE MASTER PLAN STUDY FOR CE AND MAHS EDUCATION IN

Page 2


Page 3
ACTIvy GRA
The kaizen
F
the master
F the development of scien i
the junior se
Vembadi Girl
Jaf
Sri II

eelit
BOOK-2 DE 6
Pilot Project
or
plan study
'or ice and Maths Education
iИ
"condary level
s' High School
fna
anka

Page 4
Writers
Unit - 9 Miss. G. Satchit
Unit-10 Miss. S. Ratnasi Unit - 11-14 Mrs. S. Sivaraja Unit - 15, 16 Mr. T. Gnanasu Unit - 17- 20 Mr. Gu. Srigane Unit -21-24 Mrs. K. Sivagna
Translators
Miss. G. Arulmoly Mrs. J. Denicius Miss. T. Shanmugalingam Mr. Arumanayagam Miss. M.D.S. Sebastiampillai Mrs. A.N. Palanimalainathan Mrs. R. Muthukumaran
Type setting: Millans Multi Compl
60/1, Temple Road, Jaffna
Printed By : ANDRA Digital Ima Uppumadam Junctio K.K.S. Road, Kond
Year : August 2004.

hananthan - Dip. in Maths
ngam - Dip. in Maths
h - Maths Trained
ndaram - B.Sc.Dip. In Ed, M.Ed
sh - Dip. In Maths
al - B.Sc (Hons) Dip. In Ed.
B.A., Dip in Eng. B.A, Dip in Ed Dip in Teaching Eng.
B.Sc, Dip in Ed B.Sc, Dip, in Ed Maths Trained, Dip in Edu, HNDA B.Sc.Dip. In Ed
age Dn, avil.

Page 5
PREF
The introduction of English
provides an impetus to our stud
education through a global lang
are necessary prerequisites to m,
successful.
We are very much pleased
activity book for Grade 6 student
has been compiled according to ti
Education.
We are sure this book will
students as Well as to the teachers
We hope this activity book
the subject easily with its simplifie
Publishers

ACE
medium to the school system 2nts to reach greater heights in
uage. Books written in English
ake this transformation real and
to publish Mathematics Part II
s under JICA project. This book he syllabus of the Department of
be of much use, both to the
s of English medium.
will help the students to handle
ld, interesting activities.

Page 6
Message fror
The English medium classes h
2003 in our institution. Though
efficiently, the serious problem the s
books and Teachers' guides in Engli
During the second part of 1
members have taken a great eff
Mathematics Activity Book which is a
I greately appreciate this effort

In the Principal
ave been started and progressing since
our teachers conduct these classes
tudents face is insufficiency of activity
'h.
he JICA Project, the QE circle - 4
ort to produce this Part III of the
I commendable task.
Mrs. K. Ponnampalam, Principal, J/Vembadi Girls' High School.

Page 7
Acknowle
I am effusively grateful to all til
Mathematics Activity Book Part II ava
First of all I wish to thank
Ponnampalam who offered us an opp
benefit of the students.
It is also incumbent on me to
ordinator of JICA Project who took th
necessary for this project.
It behoves me to thank with gra
project for encouraging us in the acc
providing us the requisite funds and fa.
I wish to acknowledge Mrs. S.
rending their hands in this venture.
I am grateful to all the teachers
profitable by writing activities for the st
At the same time, another big t
units and the teachers who partici
precious suggestions and 2005 A/L
reading.
iii

'dgement
he people who helped us to make the
'ilable in time.
; profusely our Principal Mrs. K.
portunity to publish the book for the
thank Mrs. A. Thambiah, the co
e initiative to profound the proposals
titude the monitoring team of JICA
omplishment of this arduous task by
cilties.
Kannan and Mr. Jeyeasvaran for
who made this venture a success and
elected units for this work book.
hanks goes to all who translated the
pated in the workshop for giving
maths students who helped in proof

Page 8


Page 9
Unit Unit Unit Unit Unit Unit Unit Unit Unit Unit Unit
9
10 11 12 13 14 15 16 17 18 19
Unit 20 Unit 21 Unit 22 Unit 23 Unit 24
CONT
Comparing Numb Identifying Vario Different Kinds of Fractions Decimals Ratios Through F. Measuring Liquid Space Indices Through F Time Measuring Weight Solid Objects In D Circular shapes Probability Symbols In Comm Collecting Inform
iv

ENTS
CS us Numbers Number
ood Items
S
amily Trees
t
ecorations
munication ation
Pages
1-5 6-12 13-18 19-29 30-36 37-39 40-42 43-44 45-47 48-49 50-51 52-53 54-61 62-66 67-68 69-75

Page 10


Page 11
UN'
COMPARING Activity
Some measuring equipments are sho
these equipments.
Measuring lengths
Read the sentences given below and w
a) Kala's height = 1.5m
L SLL SLS SLL S LLLL SL LL SLSS SS SSL SSLSL SLSL SLSL S LSL SL SLS SL S SL SLSS SLSS SLSS SLSS SLS S SLL S SLL S SLSS SLSS SL S SSLSLSSSLSS SLSS SS SS SS SS SS SS SS SSL SSL SS
LSL S SLLL SLSLSSL SSL SSL SSL SS SLL SLSSL SL SL SL SLSL SSLS SL SS SL SL SL SLSL SLS S SLS S L L SL SL S SLS S SL SLLLL S SS SLL SSSSYSSSSSLSSSSSSL SSLSLSSS SS SSLS S L SLSL
d) The length of a soap < The lengt
Distance, height, thickness, length, V measured in the units of measuring 1
Units of measuring length
Lengths can be measured in metr
millimetre (mm), kilometre (km)
 

T 9 G NUMBERS
wn in the following figures. Name
rite them in words
h of my palm.
width and depth are all ength
"e (m), centimetre (cm),

Page 12
Unit Col
1 Cm
100 cm
Activity
Finding out: 1 m = 100 cm
(Use a measuring tape)
1. Compare the following numbers
9 : 1) 8 ...<... 10
2) 12........ 6
3) 7cm ......... 7.5 cm
4) 100 cm ...... 1.5 m
5) 25 cm ........ 1/2 m
2. Write in words
eg. 13 > 5. Thirteen is greatert
a) 4 < 12
SLSSSLSSSSSSL SSSSSSS SSL SSS SSS SSSS SC SS SS SSSSSSS SSS SSSS SSS C SSS SS SS SS SS SS C SCS SSSSSSS SS SS
SSLSS S SS SS SS SS SS SS SS SSSSSLS SS SS SS SSSS SS SSSS SSSS SS SSSSSSS SS SS SS SS SS SSSS
SSLSS SS SS SSSSSSS SS SS SSSSSSS SS SS SSSS SS SSSS SSSS SS SS SSSS S LSL S LS SS SS SS SSLS SS
Activity :
Get the measurements needed for a
and use >, , <
6)(5+1).... (3+1)
7) (6+4)........ (7+8)
8) (10-3)....... (09-05)
9) (8Χ2) ....... (6X3)
10) 2 m +3 m...... 8 m
han five
S SS SS SSSLS S SLSS SLSS SS SS SS SS SS SSSS SS SS SSSSSSSSSSSSSSSSSSSSSSSS

Page 13
0.2 Measuring Weight
1) Name some equipment you use
2) Draw a diagram of any equipme
mark the measurements on it?
0.3 Measuring temperature
1) What equipment do you use to m
Draw a diagram and mark the me
Measurements marked on curved line
Name some equipments with measuren
Draw and mark one of them.

o measure weight?
nt marked along a straight line and
leasure temperature?
easurements on it.
ents marked on curved line.

Page 14
Number line
Activity (Use the space belov
Step I
- Use a straight edge to d
Step II - Near the left edge of the
name that initial poi
Step III - At a small distance aw
point A.
Step IV — Mark P as “0” and A as Step V - In that straight line on
point B as to get equa
Step VI – Like wise mark C, D, I
Mark them as 2, 3, 4, 5
Thus, you will get a numbered line and t
eց:
Exercise
. Say whether the statements a
Put a ( Y) if right and (X) if
1) 12 > 15 (X )
2) 6 < 18 ( )
3) O > 1 ( )
Represent the following num
a) 3
c) 4

the instructions)
aw a horizontal line
tline mark a point and
nt as P.
ay from P, to the right, mark a
s 1 ܝ݇ܬܵܐ
the right side of A, mark a
| distance of OA from A.
S SS SS SSSSS SLS S SLS S S S S S SS SS SS SSSS SS SS SS SS SS SSS SS SS SS SSSSSSSSSS SS SS
his is called as number line.
re right or Wrong.
Wrong.
4) (3-1) > (2-1) ( )
5) (6+8) < (5+7) ( )
6) 0 <3 ( )
bers on a number line.
b) 8
d) 6

Page 15
3) Fill the spaces within the bracket
numbers to satisfy the mathemati
4) The weights of Ravi, Sathees and
number line.
Use < and compare their weights
a. Draw number lines having numb
i. Odd numbers
ii. Even numbers
iii. Multiples of 5
iv. Factors of 12

s with three suitable whole
cal Statements.
) 51 > ..... (-, -, -)
Kesavan are marked in the given
Ravi Sathees Kesavan
h ர
( kg )
ers up to 12 and mark the following.

Page 16
U IDENTIFYING W
Number of players in teams.
Activity :
Look at the table given below.
It is prepared to show the number (
Some details are filled for you.
Complete the table.
(You can get help from your P. T.
Game
Netball
Volleyball
Football
Basketball
Elle
Cricket
Table tennis
Hockey
Relay
Kabady
Odd numbers and even ni Group Activity
Step I : Collect 45 tamarind seed
Separate them into group
Seeds respectively.
Step II: Divide each group into p
Step III : Record them as dot patte

NT 1 0 ARIOUS NUMBERS
Df players participating in each team.
teacher)
T
Number of players
u mbers
S.
}S having 1, 2, 3, 4, 5, 6, 7, 8, 9.
airs
rns as shown below.

Page 17
Eg; 1. O
2 (8)
3 (8) ● 4.
5
6
7
8
9
Step IV :
a) Write down five numbers
remainder, when grouping
OOOOO
b) Write down five numbers
leave any remainder w
Compare your numbers
friend.
Now you could find that.
Numbers, which leave are pairs, are odd numbers.
Numbers that do not leave into pairs are even numbe

into these circles which leave one
g them in to pairs
)
into these boxes, which do not
nen grouping into pairs.
with the numbers written by your
2mainder when grouping into
any remainder when grouping
γS.

Page 18
Activity 2
Complete the table below
Number
1 2
3 4. 5 6 7 8 9
> Write down five numbers great
when divided by 2.
S SS SS SSSSS S SS S SS SS SS SS SS SSSS SS SS SS SS SS SS SSSSSSSSSS SS SS SSSS SS SS SS SS SS SS
> Write down five numbers great
remainder when divided by 2.
Therefore,
Numbers like 1, 3, 5, ....... , 15......,
Numbers like 2, 4, 6,....... 12......
Now you have found that,
Odd numbers are numbers that leav
Even numbers are numbers that do
by 2.
Discuss with your friend, whether activ
way to find odd and even numbers.
 

When divided by two
Ruotient Remainder
O 1 1 O
1 1
er than 20 that leave 1 as remainder,
S SS SSSSLSL SS SS SSL SSS S L S S SSL SSL SS SL SL SLSS SSSSLSL SSLS SS SSS0 S SSLC SLCS SSS CS SS SS SS SS SS SSL SSSSSSS SSS SSSSSSS SS SS
are odd numbers .........25 و..
... 20......... are even numbers
e 1 as remainder when divided by 2.
not leave any remainder when divided
ity 1 or activity 2 is the easiest

Page 19
Exercises
1) Write down the odd numbers be
SSSSSSS SS SS SSL SSL SS S S SSSS SS SS SS SS SS SS SSSSSSS SSS SSSS SSSL S S SSS SSSSS SS SS SS SS SS SS SS
3) According to the details you obt
following table.
Game Number of O,
Players
Netball 7
Volleyball
Football 11
Basketball
Elle
Cricket -
Table 1 or 2 tennis Hockey
Relay 4
Kabady
More odd numbers and even numbe
Whethert Digit in digit is divi Number units place (Divisibl divisit 26 6 Divisi
44
45

tween 10 and 25
ained in a table before, complete the
did Number Even
Number 奚 کv
کv کv
1S.
he unit sible by2 Odd / Even e / not number
le)
ble Even number

Page 20
50
53
57
58
61
65
79
Unit digit of a number
~പ
Exercise
1) Tabulate the following numb
1257, 756, 779,916, 829, 13
2) Using the numbers 0, 5, 6, 7,
following:
i) odd numbers ,
ii) even numbers ,
3) The last digit of the number
i) What is the smallest digit
number to be an odd nun
ii) What is the largest digitt
make the number an even
 
 
 
 
 

Odd -> number is odd
Even -> number is even
ers as odd numbers and even numbers.
76, 1814, 39180, 8134, 247, 135
8 write down four digit numbers for the
867 D is not given.
t that could be filled so that the
inber?
hat could be filled in order to
10

Page 21
4) Complete the following cross nu
ణ" | |
2
From left to right
A.The largest even number that co
using the digits 2, 3, 6. B. The 8" even number in the serie
C. The number of players in one si
D. 14 X 14.
G. If this number is divided by 5 til
H. The number of player in the tw.
match.
J. The largest even number which
K. The largest odd number in a ca
From top to bottom
B. This number is formed using th
C. Thesum of the digits of this nu
E. The odd number between 1589
F. The consecutive even number to
11
 
 
 
 

umber puzzle
ould be formed
2S 1, 2, 3, 4, 5...s....
ide offootball team
he answer is 63.
o teams playing in a netball
is a less than one thousand.
lendar.
he digits 1, 2, 3, 4
mber is 10.
and 1593
) this number is 700.

Page 22
Prime number
6 can be expressed as product C
following ways.
6 = 2 Χ 3 So, 2.3 are
6 = 1 Χ 6 So, 1.6 are
So, the factors of 6 are 1, 2, 3, 6 There are 4 various factors for 6
Number As product of
two factors
1. 1 Χ 1
2 1 Χ2
3 1 Χ 3
4 2Χ2
5 .......
6 '''''''
7 .......
8 1 Χ8,
9
10 1 Χ 10,
11 .......

f two numbers in the
factors of 6
also factors of 6
Various factors Number of (different from factors
one another)
1 1 1, 2 2
op o go o as ao 2
to e o O s e. e. 3
1, 5 .......
CC S SL SS SLS S SLSSS SLC LC S C S SSSSSSS SS 4.
12

Page 23
UNIT DIFFERENT KINC
1) Fill in the blanks.
Number Factor
2 1, 2
1, 3
3
5 ........
7
a o
11 ........
13 ........
17 ........
19 ........
23 ........
29 1, 29
SL LS S LSSL SSL SS S SS SS SS SSL S S SSL SSS SS SS SS SS SS SS SSL SSSSSSS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SSL S S SS SS SS
SL S SSSL S SSL SSS SS SS SS SSLSL SS SSL SSS SS SS SS SS SS S SS SS SSSS SS SS SS SS SS S SS SS SS SS SS SS SS SS SS SSL SSS SS SS SS SS
LSL SLSL SLSLSLSL SSLSLSS SS SLS S SLS SLS SLS SLS S SL SS SLSS SLSS S LSS SLS S SLSL SLSSSS SS SSSSSLS SSSSS SCS S C S SSSS SSSLSSSSLS SSLSSSLS SLSSS SSSSSS
5) Underline the prime numbers in t
20, 23.30, 31, 50, 51, 57, 59
6) How many prime numbers are th
S SS SS SS SS SS SS SS SS S SS S SS SS SS SSSS SS SS SS SSL SSS S SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS
13

11 DS OF NUMBERS
Number of factors
S
a
LSSS SS SS SS SS SS SS SSSSLSL SS SS SS SSSSSSS SS SSLSS
- - - - - - - - - - -
he following numbers.
60.
are between 1 and 100 ?

Page 24
Activity 02:
Fill in the blanks.
1)
2)
3)
4)
5)
6)
7)
Number Fac
4. 1, 2,4
6
8
9
10
12
14
15
16
Numbers having more than tw
Put a ‘O’ around the composi numbers. 19, 20, 21, 23,
Write down the composite nu
LLL SL SLSS SLLLL S SLL S SL S SSL S SL S SL SLL SS SS SS SS SSLS S SS SS SS SS S SS SS SSC S CS S0 SC SC0S LCSC S LSL S SC SSCS C S SCSS SSSSYSSS0S
LSL S SLS LS S LSL S LSL SLSL S LSL S S SLL S LLS SL L S L S SL SS SL SL SL SL S SL S SLS S SL S SL S SL S S L L SSLS SS SS SSLSLSSSLSSLS SLS S SLSLSSL S SLSLS S C SSSS
LS S SL S LS S LE S CS SLL S CS S 0S SSSS SCC S 0 SC SS LLSSS SLCS S SSS S S0L S 0 SLC S0 S0SC S S C SCSYS SC SS C SSS CC SS S LC S SL SSSL S S LS SS C SSS SS S

CtOrS Number of factors
ܕ-,
vo factors in the above table are
vo factors are called
te numbers, in the following
30, 25, 26, 50, 53.
mbers between 30 and 50.
mbers between 90 and 100.
LL SLLSLS S SLS SLSLS S Y SLS SS0 S SLLS SL SL L SL S SSLSSSL S S S S SSSS
14

Page 25
Activity 03
1) Complete the following pattern.
де А
2) The first triangular number is ...
3) The second triangular number is
4) The 3" triangular number is ...
5) The 4" triangular number is.....
6) Draw the pattern of the 6th triang
7) The 6" triangular number is.....
1" triangular number -
2"triangular number
3"triangular number -
4" triangular number =
5" triangular number P
10" triangular number =|
h n" triangular number
15

S SS SS SS SS SS SS SS SS SS S S S S S LSL SLS S SLS S S SL SS SSL SS
S SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS SS S S S
x
Dx
D
X
D
D

Page 26
Complete the following patter
7 OO ဎွိ
Ο OO ہے۔
1x1 2x2 ------- 1. 4 ------- 1 square number = 1 x 1
2"square number = 2 x 2
3" square number = OXD
4" square number = DxD
5th square number = D XD
7" square number = Ox O
10" square number =Ox O
20" square number =DxD
...th square number is 121.
...th Square number is 256. EX:
1. Number of factors of all the s
statement correct? ...........
2. Put a around the Square
One example has been done 910 11 16 25 26 36 49
3. a) Fill the blank cages.
Triangular numbers 1
Y
Square numbers 4.

C
square numbers are odd is this
... (Yes/No)
numbers in the following.
for you.
100 125 225
3 6 10
9 16
16

Page 27
b) Hence, when we add any two succ
1+3+5 . . . . . . . .
1+3+5+7 . . . . . . . .
1+3+5+7-9 . . . . . . . .
1十3十5十7十9十11 = ......,
b) Hence, when we add any nur
“II” we will get .................
c) The least number, which is b
d) The sum of first four odd nu
Number
5. Write down the first twenty square
LS SLS SLS SLS SLS SLS SLS SLSL SLSL SLSL S SS S SS SS SS SS SS S SS S SS S SS S SS SS SS SS SS SS SS SS SSL SSSLSS SLSS SLSS SLSS SLS S S0L S L S SSLSLSS SLSS SLSS SLSSS
6. Can you make a rectangular pattern
number?............................. So, ...
composite numbers are rectangula
Complete the following table.
Natural Prime Compo numbers number number eg 1. X Χ
2
3
4
5
6
7
8
17

‘essive triangular numbers we will
bers.
mber of odd numbers starting from
SSSS SSSS SSSSS SSSS SS SSLS SS S SSSL SSLSL SLL S SLSL SSLS SL SLSS SLSS SLS SLS SLS SLSL SLL SLL SLS LSL numbers.
oth triangular and square number, is
mbers is the 4" ..........................
using any composite
LS SLS SLSSLSS SLSS SLSS SLSSLS SLSSSSSSLSSSSLS SSSSSSS LSS (all the, some of the)
ar numbers.
site Square Triangular
number number
V V

Page 28
A D B
C
Ε
E
AcroSS
A - 4" square number.
B - number which in both a prim
C - the sum of first ten odd numb
E - 5" triangular number.
DOWn.
A - a prime number between 10 a
D - a multiple of 10.
F - addition of 5" and 6" triangu

e number and an even number.
CÍS.
nd 20,
lar number
18

Page 29
<།
II. Write using figures.
eg: 1) two third
2) one eighth
3) three fifth
4) seven tenth
5) five seventh
III. Write using words.
1) 3
2)
5)
Uni
PRAOT
Shaded are
Unshaded
Shad
Unsh
;
three fourth
19
 
 

t 12
TIONS
ual parts
2fՇa
ed area C
aded area = amm
6) seven eighth
7) eight tenth
8) three fourth
9) one ninth
10) five sixth
3
)
12. 1
4
)

Page 30
Equivalent fractions
1 - 1X2 2 2 2x2 4. = 1X3 - 3 2x3 6 = 1Χ7 - 7
2×7 14 Give any five equivalent fraction
1) 2 - 1 - 4 -
4. 2 8
2) 1 - - 3 - - - 3) 2 - R
5 4) 2 5 5) 4 = -
7 6) 1 - -
5 7) 2
5 - - - 8) 4 - —
7
9) 8 - - 9 - - 10) 4 = C
11 11) 1 - - C
8 Simple fractions
5 = 5 + 5 10 10 - 5
= 1 2 8 = 8 - 4 12 -- 4

S for each of the following fractions. 6 8 10
12 16 20
20

Page 31
Simplify the following as to get si
4) 24
5) 25 -
Unit fractions
A fraction is called as a unit fraction if
VI. Some unit fractions are 1, 1 1
2 3 4. VII. Fractions with equal denominator
l, 2 9 3, 9 9 7 7 7
Give three fractions with equal den
9 و _ و 5 (1
9 2) 2 8 3) 3, 9
1. 4) 3 9 ? - و
10 5) 7, 9 9
20
9
9.
9
21

mple fractions.
6) 100 125
7) 100 -
625
8) 125
1000
its numerator is equal to
- ? -
l 6
봉
Ominator to

Page 32
VIII. Compare the following unit f
l, l l l 1 2 3 4 6 7
Largest fraction = i
Smallest fraction E
Ascending order =
Descending order =
Compare the following fraction
g
;
;
;
Largest fraction
Smallest fractions
Ascending order
Descending order = To Compare these ordinary fra 1,2,3 .. 5
2 3 4 6 write them with common deno)
Smallest fraction
Ascending order ----------------
Descending order ----------------

ractions
s s 9.
ns with Same denominator
minator
22

Page 33
1. Use the symbols <, > or = to com
1. 1 > 1. 6
4. 10
2. 5 2 7
7 7
3. 1 l 8
3 6
4 - 1 - 1 9
100 10
5. 3 2 1.
4. 4.
2. 1 , 3, 5 , 1 3 5 6 4 D 60 60 60 60
Largest fraction Smallest fraction = Ascending order o Descending order =
3. 1, 5 , 1, 5 8 12 4 6
-3- 9 9. 9
Largest fraction 9 Smallest fraction ஒ Ascending order 9 Descending order 9 4. 3, 7, 1, 2 15 10 2 5
9 த 9.
Ascending order Descending order
23

pare the following fractions
7 5. 9 9
7 - 9 10 10
10 5 11 11
. 5 11 11
O 5 2 12 12
L.C.M = 60

Page 34
5. 1 , 1 , 1 1
12 20 7 6 Ascending order
Descending order
6. 7. 9 7. 9. 7 7
10 12 15 20 Largest fraction Smallest fraction Ascending order Descending order
In proper fraction
numerator < I
In improper fraction
numerat Or >
Improper fractions can be co
Convert the following mixed fract
1) 1 3 1 - F - 2 2
2) 3
3
) 1.
5
3
4) 1.
12- F 2
5) 1
6 - F

Denominator.
Denominator.
nverted into mixed fractions
tions into improper fractions.
6) 1
7- C
2
7) 2
10- =
3
8
) 1
20-F
5
9) 1.
3- F
3
10) 1
9
24

Page 35
Convert into mixed fractions
Addition. Subtraction
1) 3 4 10 10 15 15
2) 1 + 3 = D
20 20 20
3) 1 3D
5 5 5 4) 1 + 5 -
6 6
5) 7 - 2 -
12 12
6) 5 + 2 -
11 11
7) 3 + 2 -
7 7
8) 6 + 3 -
무

6)
7)
8)
9)
10)
9)
10)
11)
12)
13)
14)
15)
16)
1. 110 O
1.
1.
2
9
5

Page 36
eg
+---+| «N
||||||||||C之| cr
「그 ? ?~ ? ? 5. 217, ?으3| || || || || || || || || ||
十、十、十、十、十
夏夏!***!夏「)
그', 114, 215 315 41", 16 516 117 217 **) 7 分,分,分,分分,盟 ||||||||| ---- or)比w {ș-+! 4夏真w=!!= {!=ł夏•« 订co]co)<+「)\C)t^

Page 37
2.
-
=
-2-2 3 = 14) 2 6 2 6
13. Write the fractions with same de
them
1. 1 l 2 + 3 = 3 十 2 6 6 = 5.
6
3. 1 - 1 3 4
十
5. 1 l 6 2
F வகைமை 十 s
C
27

nominator and then add
pamama


Page 38
9. 5 4 10.
8 6
F - - - - - --
11. 3 2 12.
10 5
-- ----- ----
13. 2 + 3 14.
7 14
= ---- + -----
Write the fractions with same denc
1) 1 1 2)
2 3 = 3 2 6 6 = 1 6
3) 1 1 4)
3 4.

5 + 3 8 16
F ---- - -----
至 + 4 9 27
o -- -----
4 - 5
11 22
C s -- s
5 + 1
16 9
F ----- -H
7 5. 8 24
8 5 15 30
28


Page 39
5) 6)
7)
8)
9) 13 5 10)
Subtract
1.
붕
Eg:
;
ܒܪ
-
-
3)
1.
)
1
29



Page 40
1)
eg: i.
ii.
iii.
iv.
V.
UN DEC
Convert the fraction:
l 10 3. 10 5
10 6 = 10 8 = 10
2) Convert the fractions into
eg: i.
ii.
iii.
iv.
-- = 0.01 100
3 = 100
5 = 100
22 = 100
=I
100
3) Convert the fractions into
eg: i.
ii.
iii.
iV.
V.
- 2 = 0.002 1000
- 3 = 100
27 = 1000
60 = 1000 175 1000

NIT 13 CIMALS
s into decimals.
eg: Vi.
vii.
viii.
ix.
decimals
eg: Vi.
vii.
viii.
decimals
vi.
vii.
viii.
ix.
167
1 1000
13 - 15
1000 29 1000
170 1000
= 12.167


Page 41
4) Convert into fraction
5)
i) 0.5 =
ii) 0.6 =
iii) 0.7 =
iv) 0.9 =
v) 0.2
vi) 0.25 =
vii) 0.035 =
viii) 0.001 =
Write using digits
1) Zero point five
2) Zero point seven
3) Zero point one three
4) Sixteen point five
5) Twenty point one
6) Zero point Zero one
7) One point two five
8) Hundred point five
9) Five point five five
10) Five point zero zero five
11) Thousand pointzero zer
12) Zero point Zero seventv
13) Twenty five point nine z
14) Hundred point one one C
15) Seven point one two thre
16) Eleven point three two
31

ix) 1.006
x) 0.017
xi) 0.068
xii) 1.175
xiii) 3.605
xiv) 8.375
xv) 1.35
xvi) 2.732
Ο ΟΥ16 o
VO o
ero five =
C -
e o


Page 42
6) Write in the reading man
0.78 Zero poin 0.05 ............ 0.01 ............. 1.1 ............. 1.02 ............. 3.005 ............. 8.2 ............. 125.005 ............. 10.09 ..............
1
7) In the decimal number 1
i. the place value of 9
ii. the place value of 7 i
iii. the place value of 5 i
iv. the place value of 8 i
v. the place value of 2i.
vi. value of 9 is
vii. value of 7 is
viii. value of 5 is
ix. value of 8 is
x. value of 2 is
xi... value of 1 is
8) A. Write the following deci
1. 0.3 = 0.30
3. 0.7F ------
5. 0.9 F------

le.
t Seven eight
SS S SSSSSSS SSSSS S SLS SLS SLS S SLSL S SLSLS S SL SLSSL SLS S LL LLL LLL LL
SSSS SS SS SS SS SS S LSL S SL S SL SL SL L S S L S LSL S L SS L SL LSL S LSL
S S SSS SSSSSSSSSSS SS SSLSL SS S SS SL SS SLS S SLSS SS SS SSL SSL LS
S SS SS SSS SS SS SS SS SSL S S S SSS SLSL S S LS SLSS SLSL S SL SLLLL LLL LL
S S SSSSSSS SSSS SS SS SS SSLS SSSSS C SLLS SLSSLS SLS S SLS LS LS
S SS SS SS SS SS SS SSL S SLLLSSS S S SS SS SSLLL SLSLS SLS S S LL SLL S LLS LLL LL
S SS SSS SS SS SS S L S LS SS LS SL L L S S L SLSL SLS LS LSL
SSSSSSSSSSSS SS SSLSSSSSS SSSCLSLC SSS S SL S SS
imals to show hundredths also
2. 0.5 = ------
4. 0.2 = ------
6. 0.4 = ------
32


Page 43
B. Write the following to show th
0.6 = 0.600
0.3 F -------
0.5 -------
0.7 F -------
0.9 F-------
0.4 = -------
0.8 = -------
C. Circle the number which is no
1. 0.5 0.50
2. 0.6 0.06
3. 0.78 0.7800
4. 0.032 0.0320
5. O.800 0.080
6. 0.95 0.950
0.1, 0.01, 0.001
100 10 1. 1000 , 1000 1000
Largest decimal number
Smallest decimal number
Ascending order o
Descending order
33

housandths also
1. 0.08 = 0.080
0.28 = -------
0.45 = -------
0.07 = -------
0.23 F -------
0.75 = -------
0.99 = -------
t equal
0.500
0.600 0.6000
0.780 0.078
0.0032 0.03200
0.8 0.80 0.9500 0.0095
0.1
0.001
0.001, 0.01, 0.1
0.1, 0.01, 0.001


Page 44
1) 0.5, 0.005, 0.0
-
1000 1000 1 1) Largest decimal num
2) Smallest decimal nur
3) Ascending order
4) Descending order
2) 0.23, 0.2, O
1000 1000 10 1) Largest decimal numb
2) Smallest decimal num
3) Ascending order
4) Descending order
3) 2.5, 0.25, 0.025
1000 1000 1) Largest decimal num
2) Smallest decimal nur
3) Ascending order
4) Descending order
4) 0.35, 0.3, 0.035
1) Write in ascending or
2) Write in descending C

OOO ber = -------------------------
mber = --------------------------
O23
OO
er F --------------- - - - - - - - - - - -
ber = --------------------------
1OOO ber
mber = ---------------------
der S T SSS T S S LS S S SL S
rder – –-------------------------
34


Page 45
5) Complete each mathematical sta
1)
2)
3)
4)
5)
6)
7)
8)
9)
0.5
0.7
0.35
0.3
2.35
8.67
0.23
8.9
7. 12
10) 10.3
10) Add the following
1)
10)
0.001
2)
8)
11)
0.52
0.70
0.35 (
0.03
6.35
8.76
0.023
8.90
0.71.
1.03
0.6 --
0.3
0.2 -- 0.02 0.002
35

tements by using >, < or =
3) 0.7 +
12) 0.03 + O.3 O.OO3


Page 46
11) Subtract the following
eg: 1) 1.1 – 1.01
1.10 -
.01
3) 0.5 - 4)
0.08
6) 0.1 - 7)
0.01
9) 2.0 - 10)
1.8
12) 8.759 - 13)

eg: 2)
3.005 -
2
1.111
36
0.2 - 0.12
0.20 - 0.12
5) 1.605 -
0.721
8)
1. 0.9
11) 7.083 -
-
14) 1 -
0.9


Page 47
Unit 1 RATIOS THROUGI
Ratio between two quantities is the nume quantities expressed in same measuring
1) Write the ratios as you read.
€g: 1 : 2 = One is to fo
i) 2 : 3 o ii) 10 7 o iii) 5 4. iv) 6 : 1 1 =
v) 17 7 vi) 5 8
2) Write the following ratios in the simp
eց:
i) 12 : 8 =
ii) 25 , 50 =
iii) 10 : 20 =
iv) 5 : 15 =
v) 20 : 40 =
vi) 7 : 14 =
vii) 14 : 28 =
viii) 28 : 35 =
ix) 100 : 125 -
37

4
H FOOD ITEMS
2rical relationship between two unit.
ԱT.
lest form.


Page 48
3) Write the ratios in the form of a
eg:
- 1 i) 1 : 2 F - - V
) 2
ii) 3 : 2 ニ V
iii) 4 : 5 = vi
iv) 8 : 3 = i
v) 25 : 100 =
4) Write in Simplest from.
Շ9: i) lkg : 50 cm - - ii) 1m : 50 cm = ------- iii)500 cm : 2 m = ------- iv)600 g : 100 g = ------- v) 2 kg : 250 kg = ------- vi)2 kg : 1500 g = ------- vii) 1 l : 100 ml - ------- viii)1 l : 1000 ml= ------- C ix)400 g : 1 kg F -------- C x) 5 m : 400 cm = ------- C
5) i) Weight of a
Weight of b
Weight of A: Weight of B
ii) The ratio between boys and g
Number of boys in that class
What is the number on roll o

a fraction
i) 15 , 20 =
ii) 25 : 50 =
ii) 60 : 15 =
X) 2 5 =
x) 3 4 =
C. : ------- C F - - - - - - - - - - - - - -
C1 -------C F - - - - - - - - - - - - - -
C. : - - - - - - - C F - - - - - - - - - - - - - -
CIΥ1 . ------- C11) F === ==== ! ------
C111 : ------- C1) = ------- ------
C11) : ------- C1. F ------- : ------
C11) : ------- C11 F ------- - - - - - -
11 : ------- C11 F ------- : ------
1Υ1 . ------- CIΥ1 - --------: ------
11 : ------- C - ------- : ------
= 48 kg
= 36 kg
irls in a class is 5: 3
is 15
f that class ?
38


Page 49
iii) We have to share some money betw
A : B = 3 : 2
If A gets Rs 200, then total amount
iv) The price of a mango is Rs. 5
Find the price of 10 mangoes?
v) Price of a book is Rs 50
Find the price of 10 books?
vi) Price of 101 Coconut oil = RS.
Price of 1 1 Coconut oil F ----
vii) Price for 100 Coconut = RS
Price for 1 Coconut F -
viii) Price of 15 Pencils = RS -
Price of 8 Pencils F -
39

een A and B Such that
shared is
1550
45


Page 50
MEASUR
Group Activity 1:
Instruct the students to bri labels.
Complete the table.
Name of the conte
Jam bottle
Use the table to answer the foll
1. Name some liquids which are
LS S SL S LS SS SSLSLSL SSSSSLS SSS SSS SSS S LLLSSS SS SS SS SS SS SS SS S SSSSLS SSSSSLS SSLL

Unit 15
ING LIQUIDS
ng some bottles of different volumes with
nt Volume (ml/l)
lowing
: measured in ml.
measured in l.
2 a 100 ml cup to fill a 1lbottle?
21 can, we have to use that cup
40


Page 51
Activity 2:
1) a) 4.51 . . . . . . . . . ml b) 400 ml = ......... c) 71 250 ml =... l d) 81 125 ml = . ml
2) You have only 101 and 31 cans
How do you measure 71 milk by least attempt?
3) You are given 51 and 21 cans,
How do you pour 81 water into at.
Group activity
Complete the table below.
ml l
750 .......
74.10 . . . . . . .
a ele 6.5
O e o 10.125
4.425 | ........
Group activity
You are given 100 ml, 250ml, 50
Try to measure the following cap
1. 1200 ml 4) 700 ml 2. 850 ml 5) 900 ml 3. 2750 ml 6) 1150 ml
41

sing those 2 cans with
ank with minimum attempt?
0 ml containers.
acities with least attempts.


Page 52
explain the methods you have use Eg. 1) To measure 1200 ml We container and 2 times t
2)
Activity 4:
A doctor gave a syrup to a day. He has to take 2 teas syrup contains 300 ml.
1. ....... ml syrup Would |
2. . . . . . . . ml syrup would b
3. To finish the syrup in t
that medicine?
I teas

d to measure each Volumes? 2 have to use 2 times the 500 ml he 100ml container
L patient. The dose is suggested thrice a poons of syrup in a dose. The bottle of
be taken as a dose.
e taken on a day,
he bottle, how many does he has to take
spoon = 5 ml
42


Page 53
UNIT
SPAC
Width of this figure is 1 cm. Length off
1 cm Area = le
1 cm = 1
Figurel P
Number of small squares in fi
Area of this figure2 = 4 times
Figure 2
Number of Sm.
Squares in f
Area of figure
Figure 3
From the above exercise we found out th
Leng
Activity 1:
Step 1: Group the students.
Step 2: Give them some rectangles, squa
square shaped faces or rectangular shape
E.g. maths book, Soap.
Step 3:Guide them to find the area of the
43

16
CE
gure 11 is 1 cm.
2ngth X width
Cm X 1 cm
2 C1
square centimetre
re2 = 2 x 2 = 4
square centimetres.
all igure 3 -- Χ
3 = } times 1 cm
2 – lem
o square centimetres
at area of a rectangle is
gth X Width.
res and some objects which have
d faces.
: surfaces using centimetre grid.


Page 54
Things/surfaces Number
Activity 2:
A 2 cm
B 2 cm
3 cm
2cm
2cm
10cm
2cm 2cm
F1
A
TC
Area
Area
Area C
Total :
 

of cm squares Area
nd the area of this figure?
rea of A . . . . . . . . . .
rea of B . . . . . . . . . .
ital area . . . . . . . . . .
o 2 Ca 1S . . . . . . . . . . . . CI)
- 2 of A = .......... C
- 2 of B = .......... C
- 2 )f C = ........... C
- 2 dľCa F . . . . . . . . . . . C1
44


Page 55
Unit 1 INDICES THROUGH
16 = 2 Χ 2 Χ 2 Χ 2 16 16 = f Power / index
base
1. Numbers are given in the power fr Write down the base, index and fit expanding them.
Power
Base Index form
2 2
2
2 3 3 4.
4. 5 5 6
2. Read the following numbers in powe
table.
eg: Power form Met 25 Two ti
5" square numbe
So, 5th Square nu
45
 

|7
FAMILY TREES
= 4 X 4 R 料 power / index
base
orm in the following table. nd out the numbers by
Expanded form Number
2x2 4.
rform and complete the
hod of
o the power five
r = 5 X 5
= 5?
25 mber is 5’


Page 56
3. Write the numbers into perfect we derives that perfect square.
Number | Perfect Squal
কণ্ঠ
9 3. 16 36 49 64 81 100 121 144 169
Product and power
4 times 3 = 4 X 3 = 12
3 times 4 = 3 X 4 = 12
but, 3 to the power 4 = 3 =3
4. Match A with B
Α
a) 5 times 2
b) 3 times 6
c) 6 to the power3
d) 5 times 5
e) 5 to the power 5
f) 2 to the power 5
g) 15 to the power 3
h) 15 times 3

Square and write also from which number
The Number from which we drive that perfect square 3
re
Χ 3 Χ 3 Χ 3 = 81
15 Χ 3
18
216
10
3125
46
s


Page 57
5. Fill in the empty cages
5 a) D = 32 d) 64 100000 (ن لاد = 125 (b
c) 729 = 3 f) 3
6. Write numbers as a product of prime
the form of base and index
a) 24 = 2 X 2 X 2 X 3
47

: factors and fill the empty cages in
= 2
o
X


Page 58
U
"ך
Timetable of a student for a week
5.00 a.m. - get u 5.00 a. m. — 5.30 a. m. – mor 5.30 a.m. - 7.00 a.m. - self 7.00 a.m. - 7.30 a.m. - bath 7.30 a. m. - 8.00 a. m. - bral 8.00 a.m. - 9.00 a.m. - got 8.30 a. m. — 2.30 p. m. – schi 3.00 p.m. - 3.30 p.m. - go 3.00 p.m. - 4.00 p.m. - rest 4.00 p. m. – 5.00 p. m. - priv 5.00 p.m. - 6.00 p.m. - play 6.00 p.m. - 6.30 p.m. - rest 6.30 p. m. — 8.30 p. m. – stuc 8.30 p. m. – 9.00 p. m. - din 9.00 p. m. - 10.00 p. m. - con 10.00 p.m - got
1. Fill in the blanks by using inf
i) Time duration for self lear
ii) Time duration for rest
iii) Time spending in the Sch(
iv) Time take for going Schoc
v) Time spending for sleeping
vi) Time for sleeping for 5 day
vii) Time spending for selflea
viii) Write the time (standared)
the bed

snit 8 ΙΜΕ
p from the bed ning duties, physical exercise
learning
l, prayers ke fast, ready for school o school
pol activates
nome, take lunch
rate tuitions
/
ly
1ef
tinuing the studies
obed
ormation's in the above table
ning
Dol
bl
2
WS
rning in 5 days
that the student gets up from
48


Page 59
2. Fill in the blanks
i) 7.00 a.m. = h ii) 11.55 a. m. = h iii) = 12 OOh
iv) = 20 3Oh
v) = 24 00h. vi) 4.25 p.m. = h vii) 9.30 p.m. = h viii) 2 hours m ix) 1 hr. 25 min. = m Χ) hour = 240 minutes
time table.
. Change the following times into stal
Our school starts at 8.30, students :
9.00 a. m. we have prayer. Each per
subjects the bell rings at 11.40 a. r
classes starts again. After 8" period
part the school song. At last our scho
Match A with B and put the correc
eg:
Column A
a. Days in a week
b. Months in a year
c. Minutes in an hour
d. Hours in a day (iv)
ܫܛ
e. Seconds in an hour
f. Hours in a week
g. Seconds in a day
h. Weeks in a month
v ]
49

nutes
nutes
hdard times and prepare a school
assemble for prayers From 8.40 to
iod contain 40 minutes. After four
n. for interval. From 12.00 (noon)
the bell rings at 2.40 p.m. and take
ol activities furnished at 2.45 p. m.
st numbers in the column
Column B
(i) 24
(ii) 86 400
(iii) 3600
(iv) 4
(v) 7
(vi) 12
(vii) 60
(viii) 168


Page 60
U MEASURI
1 kg
I. which weights from the given v following weights (Use minimu
Eg 1): 1 1/2kg = 1 k
2) 2 1/2kg =
3)2kg 150g =
4) 1 1/4kg =
5) 5400g —
6)3kg 550g =
7) 350g c
8) 800g
9) 2kg 750g =
10) 4.5kg C
II. Fill in the blanks (Use minimun
eg.:- 1) 2kg 450g = 2kg + 200g -
2) 1 kg 250g = ................
3) 5kg 750g - ................
4)3kg 250g - ................
5) 4kg 150g - ...............
6) 2kg 350g - ...............
7) 6kg 500g - ...............
8) 4kg 650g - ...............

Jnit 19
NG WEIGHTS
)()OOG)
veigh set could be used to weight the m number of weights)
g, 500g
n number of weights)
F 200g + 50g
S SS SS SS SS SS SS SSL SSL SLS LS LSS SLSS SS SSL SSL SSLSSL SLS S SLSL SLS SL LSL S LS SSLSL SS SS SS SS SSLS S L L S LSL S L SL S S S S LSL SS SS SS SS SS SS
50


Page 61
III. Write down the following weights ir
eg.: - 1) 2kg 150g = 21.50 g
2)3kg 500g =
3) 7kg 125g = 4)5/kg = 5) 3 /4 kg =
IV. Give the following weights in kg, g
eg.:- 1) 2600g = 2kg 600 g
2)3750g =
3) 2520g =
4) 15650g =
5) 7250g =
V. Find out the total weight of the follov
eg:- Ravi's weight = 25kg, K
Total weight = 57kg 500
1) Weight of A = 16kg, W.
Total weight o
2) Weight of a toy = 250g, we
Total weight
3) Weight of cake = 2kg 500
Total weight
4) Weight of a cycle = 22kg, V
Total weight R
5) Weight of 10 apples =2250g, V
Total weight c
51

grams
6) 1 kg 650g =
7) 4.5kg C
8) 12kg 350g = 9)3/kg o
10) 15kg 300g =
6) 4500g
7) 15600g
8) 1950g
9) 2250g =
10) 6550g =
C
ving
umarʼs Weight = 32kg 500g
g
aight of B = 17kg 500g
ight of a box = 400g
g, Weight of sweets = 1 kg 250g
leight of a car = 240kg
eight of 5 oranges = 850g


Page 62
Unit
SOLID OBJECTS I
1) Write down the numbers of verti
solid shapes
Number of Solid Vertices Cube 8 Cuboid Tetrahedran
2) Can you suggest any relationship
of the above solids 2
3) i) What can you say about the si
ii) What can you say about the si
iii) All the faces of a tetrahedran
4) i) Give two solid objects which
ii) Give two solid objects which
iii) Give two objects which have

20
N DECORATIONS
ces, faces and edges of the following
Number of Number of faces edges
6
6
between the faces, edges and vertices
SS SLLL C SSL SSL SSL SSL SSLLS SLSS SLSS SLSL SLL L L SSLSSS S L SS L L SSLS S L SSL L SSSLL SSSLL S SL S S SLSL SLSL SLL L S S S S S L S SL S L SLSL S LSL L SL SLS S S SL S SLS SLSLS SSSSL SSSSSSS SSSLS S S LSLS SSL
LL SC S LLL S C C S L SLL LSL S SL S SLSL SL SL L S S S S SL S L SL SL S SL S L S CL C SS S S S S L SLLL SCSSLS SL S SLSL S SSLS SSL S SSL SSL SSL SSL SS LSL S L LSL S SSS SS LS LS SLSS LSL LSS
hapes of the faces of a cube 2
hapes of the faces of a cuboid?
aC
have only flat surfaces
have only curved surfaces
both flat surfaces and curved surface
52


Page 63
5) Draw a net to make each of the follo
1) Cube
2) Cuboid
3) Tetrahedran

wing shapes


Page 64
U
- CIRCUL Activity 1:
Complete the following table.
Circular shaped Circulars objects in your coins
home Lid of a tin Two rupe
Note: Discuss about the compl
circular shaped objects.
Activity 2: Observe the following diagrams. Select the circular shaped diagram a figures here.
O O

ΝΙΤ 21 AR SHAPES
haped, Circular shaped
food items
e coin Round bun
eted tables and get them know several
nd write the numbers of the selected
vii
54


Page 65
Activity3: Drawing circles of different sizes
II. Draw circles of different sizi
coin,5rupee coin)
II. Draw circles of large size usi
of tins and etc;
55

es using various coins (Eg: 2 rupee
ng bangles, caps of bottles and lids


Page 66
Activity 4: Drawing circles by usin
Step 1: Mark a point A in th Step 2: Place the ruler with A. Step 3: Draw a line using a Step4: Slightly rotate the ru Step5: Repeat step4 again a
Note: Discuss about the figur

g a ruler
2 middle part of the paper. One edge of the ruler touching the point
encil along the other edge of the ruler. er satisfying step2 and do Step3. nd again.
e you have drawn.
56


Page 67
Activity 5:
Drawing circles as for your
Step 1: Cut out a cardboard of 6 Step 2: Mark “cm” scale on it. Step 3: Make a hole at the initia Step 4: Make another hole at a Step 5: Place the cardboard on
hole and hold it tightly. Step 6: Put a pencil into the oth Step 7: After making a full rota
Now you c
57

wish
cm length and of about 1 cm width.
1 point of the scale. listance which you wish
plain paper, fit a nail or pin into the
er hole and move it. Iion remove the cardboard.
puld find a circle.


Page 68
Activity 6: Identifying the centre of a circle
Step 1: With the help of a bangle C circle on a plain paper and
Step 2: To get two equal parts, fold
Step 3: Then unfold it.
Draw a line along the folde
Step 4: Do step 2 & step 3 for sever
symmetric axis.
How many symmetric axis
S SS SS SS SSSSSSSS SSSSSSS S SSS S SSS SS SS SS SS SS SSS
Step 5: Observe that all the folded li
The common point is defined
Activity 7:
Step 1: Cut out a rectangle of length
Step 2: Draw a circle on a plain pape
Step 3: On the circumference of the
Put a corner of the rectangle through 'P' of the rectangle
A.B.
Step 4: Remove the rectangle.
Join the points A.B.

rother circular shaped objects, draw a cut it out.
the circle once.
i mark. altimes in order to get several
could be drawn to a circle?
nes meet at one common point
as the centre of that circle.
6cm, width 5cm from a bristal board.
r with the help of a bangle or a coin.
circle make a point P. of the point P. such that the sides
will cut the circle at two points say
D B


Page 69
Step 5: Again select another point P'on
same Procedure step3 and find
Step 6: Join the points A'B' aft
: The lines which you har
Name that point 'O'. Now, O is the centre of th
59

the circumference. Follow the he points A'B'. -
A.
B
er removing the rectangle.
ve drawn will meet at a point.
Le circle.
A.


Page 70
Exercises
1) Describe the steps you have to fo circular shaped flowers garden
2) Draw a circle with the help of 2
circle such that all four sides to t
3) Where is the centre of the circle
straight (Activity 4)
4) Where is the centre of the circle (
(Activity 5)
5) Draw a beautiful pattern using 2

llow to draw a circle to make a large
Rupee coin draw a Square Outside the Duch the circle
which you have drawn by using a
lrawn using thread / strong cardboard?
rupee coin


Page 71
6) Use coins of different size
7) Use different sizes of coin to make :
61

s to make a pattern like this
a pattern like this


Page 72
U PROB,
Identifying events
Tick V in the suitable columns, w events given.
No Event
1. Sunrise in the East
Getting head when tossing a coin
3 An iron bar will float
Upward thrown stone will come to the earth
You will get “6” when you 5 throw a die numbered 1 –
6.
Getting 1 place in a lottery Writing will be in blue
7 when you write with a red
pen. Taking a red ball, while picking a ball at random
from a box having only 3 red balls.
You will meet with an 9 accident when you come
to school.
There will be an odd 10 number between two
Succeeding even numbers.

nit 22
ABILITY
hich is suitable for the outcome of the
Certain
Impossible
Possible
w/
62


Page 73
Giving points in 0-10 scale
Group activity
Group - I
Colou figure. Fix a the ce Give
Work card:
a) How many colours are there at whi
b) Is the possibility equal for all three
c) Does each colour have even chance'
Complete the table using 0 - 10 scale.
Event Value (0-10
(after 10 attempts)
1 Pin rests at red
colour 2 Pin rests at green
colour 3 Pin rests at yellow
colour
63
 

a circular disc as shown in the
safety pin, which could be rotated at
ntre. a force to the pin to rotate.
ch the safety pin will rest?
colours at which the pin comes rest?
) Value (0-10) Value (0-10) after 20 after 50 attempts attempts


Page 74
Group — II
1 2 3
Ten cards of same size are numbere Select one card at random
Work card:
1. How many chances are ther 2. Does it have equal chance o 3. Does it have equal chances
number 4. Complete the table using 0.
Event Obtaining number 20 Obtaining number greatert Obtaining a prime number Obtaining number 10
Group III
Throw a die which is numbered fror
Work card :
1. Is the change of getting any 2. Which event has more char
number? 3.Complete the table using 0
Event Obtaining number 5
Obtaining a prime number
Obtaining a composite num
Obtaining a number less tha

10
d from 1 to 10 as above.
to obtain an odd number fgetting any one of the numbers )f getting an odd number or an even
- 10 scale
Value (0-10)
han five
n 1 - 10
one of the number up equal or not? ce, getting a triangular number or a square
- 10 scale
Scale
ber
un 4
64


Page 75
Group IV
A box has 3 red balls and 2 green balls Select a ball at random.
Work card:
1) How many colour would be the
2) Is the chance of getting a red bal
green ball or not?
3) Complete the table using 0-10
Event Value 0-10
Out come being blue.
Out come being red or green.
Out come being green.
Group V
A circular
and each p(
An indicato
in the pictu
Rotate the
where indi
That fruit
fruit.
 

of same size.
outcome?
l equal to the chance of getting a
Scale.
disk was divided into 8 equal parts
ortion was named with same fruits
was fixed in the middle as shown
fe
indicator and observe the fruit
ator rested
was considered to be the favourite


Page 76
1) Is the chance for each fruitb
2) Is the chance for an orange to
3) Complete the table using 0
NO
1 One of Mangos, Jack
or Banana will be favourite.
2 I Banana will be favourite.
3 Papaw will be favourite.
4 A fruit with more than
one seed will be favourite.

ing favourite equal?
be favourite higher?
10 scale.
66


Page 77
U
SYMBOLS IN CO
Activity
Put the suitable mathematical symbols
in the cages in order to make the true 1
I. 12 8 = 4
II. 15 = 45 3
III. 3 X 4 = 9 3
IV. 20 7 = 10 3
V. 56 8 = 16 3
Group activity
Step I Let the students interchange Step II Instruct them to write down s column A of the following ta
A (Expressions in words) E
01. Multiply 7 by 8
02.
03.
04.
05.
06.
07.
08.
09.
10.

smit 23
ΜMUNIOATION
or mathematical notations -, -, X, -
relationships.
their books themselves. some expressions in words in able.
} (Expressions using
symbols)
7X8


Page 78
Step III Let them have their own wo
Step IV Let them complete column
Activity
Kamala's height is 7cm more than V
To satisfy the above statement (expre
Kamala's height Vimala
132
11
Χ
pX -- 7
y +
Complete the following table.
Algebraic Given Substitut
expression value
X + 5 Χ = 4 4 -- 5
M-7 M = 12 SS Y = 6 15 - 6
P-5 - mmmmmmmm 7-X mmmmmm
A = 8 15-8
P -- 15 SS - 9-M M = 2 - X- 4 SS SS Y -- 12
p = 15 8 -- 15

rkbooks.
B of the table.
imala's height.
'ssion) complete the table below.
Sheight
8
7
3
ion value of the
algebraic
expression
9
8
20
27


Page 79
Unit
COLLECTING II
Collecting Data by using Tally mark
Group activity
Group 1
Record the Mathematics marks ofth in the following table
Achievement Tally Mark
Level
Red (81 - 100)
Green (61 - 80)
Yellow (21-60) Black (0-20)
Group - 2
Students are requested to collect the members families, in the following
Number of Tally Mark
children
1
2
3
4.
5
69

24
PORMATION
e students for the second Term test
Number of
students
numbers of children in their class table.
Number of
Families


Page 80
Group - 3
1 — 6 numbered die was thrown é the upper face are recorded in the
The Number appeared in
the Upper face
Ta
1
2
3
4.
5
6
Group 4
Students are asked to collect the 1 students’ dates of birth, according
Index of the date of
birth
Tal
1.

0 times, and the numbers appeared in ; following table.
lly Mark || Number of times
numbers of index of their fellow g to the following table.
ly Mark Number of
students


Page 81
Group 5
Collect the data of the class student following table
Method of transport Tally M
Bicycle
Bus
Private Vehicle
Parents Vehicle
On foot
Group - 6
Same sized 4 marbles with diffe
Yellow were taken out one by one
The following table was drawn usin
Colours of the Marbles Tally N
Red
Green
Blue
Yellow

various method of transport in the
Tark Number of
students
'rent colours as Red, Green, Blue,
spontaneously from a bag 50 times.
g the above data.
Mark Number of times


Page 82
Explana
Group - 1
Write the name of the stubble diag your data
Draw the graph
Red
Green
Yellow -
Black -
i) How many students achieve th
ii) Give the achievement level ran
number of students?
iii) It was decided to give a pen of
the level red. How much would
iv)Display this information in a b:
Number of students
Red Green

ion of Data
ram which you can draw to present
Granbh
e Yellow colour?
ge, which is achieved by the highest
Rs. 12.00 for students who achieved
i you expect to buy pens?
archart?
Yellow Black


Page 83
Group - 2
Select and write the Suitable
6
-
(i) How many students in your c
3 children?
(ii) Give the numbers of children
students have in their familie
(iii) Display this data in a bar cha
No of families

Diagram
'lassroom have families wit
, which the most of your class
S2
rt
- I -
4 5
No of children


Page 84
Group - 3
Select and write the suitable sca
Draw the diagram
Diagran
6 一
5 -
4 -
3 L
2 L 1
Give the numbers which is
highest times
(ii) The number is which is app (iii) How many times the No 2 ; (iv) Present these data on a bar (
Bau
Numbers 6H
in the face

2 and the diagram -----------------
(i)
appeared in the upper face for the
eared for the lowest times
appeared?
hart?
chart
h
No of times
74


Page 85
Group - 4
Find out a suitable scale and a diagram
(i) The number of students who ha
9
(ii) The number index which most (
(iii) The number of students who ha
even number
index
(iv) Present these data in a bar chart
Number
of student
75

ve the number index of date of birth
of the students have
ve odd number index, an
Date of birth


Page 86
(27 7 Nov 2008 β. Η Ι
NOV 2008
77 on 1-1 3 MAR 200
ig Mira
10. at 20 MAR’ in(9 26 MAR 2009
ιθ | 5 SE "ang
Axo9 JUL 2010
CLASS ACCESS NUMBER NUMBE
WEMIBAO GIRL'S HIGH SCHO
This book must be returned on or before the la above or a fine of Rs.1/- for each working day levied. This book may be renewed by postcard
а) The last date recorded above b) Class No. c) Accession No.

date recorded "erdue will be
quoting:


Page 87



Page 88