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F R E E S T U D Y M AT E R I A L F O R E V E R Y S T U D E N T
C L A S S 2 · M AT H S
NCERT Solutions + ×
Chapter 5: Playing
with Lines
NCERT Textbook — Joyful Mathematics
BOOK PAGES SECTIONS QUESTIONS MEDIUM
44 – 49 6 19 English
Every question Step by step Exam ready
Activities, in-text questions The working shown, not Written to match how
and all exercises. just the final answer. marks are awarded.
Solutions, notes, sample papers & more at 27 pages
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l h h e l i g i h i e A aS m · NCERT So ut ons
C L A SS 2 · M AT H S · JOY F UL M AT HE M AT IC S
NCERT So ut ons — C apt r 5: P ay n w t L n s
l i h e l i g i h i e
This chapter is about lines. Lines can be standing, sleeping, slanting or curved.
T E XT B OOK B OOK PAGE S
Joyful Mathematics Class 2 44 49
S EC T I ONS QU E ST I ONS
6 19
M EDI UM
English
Let us Do — Page 44
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l h h e l i g i h i e A aS m · NCERT So ut ons
gl e l i
Lines in the yoga picture
Q1 A. C r
i cle ◯ the aasanas with standing or vertical lines.
1 2 3
4 5 6
7 8 9
Nn
i e child e r n do aasanas. The book draws a thin red line on each child. We have numbered
them 1 to 9.
Cr
i cle children 2 and 3.
Child 2 stands tall.
Child 3 has a line going up and down too.
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l h h e l i g i h i e A aS m · NCERT So ut ons
Why A standing line goes straight up and down
: .
Q2 B. T ick ✓ the aasanas with both vertical and slanting lines.
1 2 3
4 5 6
7 8 9
Nni e child e r n do aasanas. The book draws a thin red line on each child. We have numbered
them 1 to 9.
Tick child 3.
One red line goes straight up and down.
One red line leans along her leg.
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l h h e l i g i h i e
a g l A aS m · NCERT So ut ons
gl e l i
Why She has a standing line and a slanting line co m
m.
:
e
.
m l as
.co
m ren 8 and 9 have only slanting lines. So no tick.
Tip: Cehild a g
a s
agl
✗ com
Q3 C. Cross the aasanas which have curved lines.
e m . ag
g l as
a
1 2 3
co m
em.
m l as
m .co a g
l a se
a g
m a s
em5
.co agl
a s
gl
4 6
a
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com l a
7 8 9
. ag
m
ase
agl
co m
m .
m as e
.co a g l
se m
g l a Nn r n do aasanas. The book draws a thin red line on each child. We have numbered
a
i e child e
.c
them 1 to 9.
s e m
m a
e m . co agl
g l as
Cross children 1, 5 and 7. a
co m
m .
m ase
.co
a g l Page 4 of 27
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l h h e l i g i h i e A aS m · NCERT So ut ons
gl e l i
Children 1 and 5 bend backwards.
Child 7 lies down and lifts the head.
Their red lines bend like a bow.
Why A line that bends is a curved line
: .
Q4 D. Put a star ★a long the aasanas that have sleeping or horizontal lines.
1 2 3
4 5 6
7 8 9
Nn
i e child e r n do aasanas. The book draws a thin red line on each child. We have numbered
them 1 to 9.
Put a star on children 4 and 6.
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l h h e l i g i h i e A aS m · NCERT So ut ons
Child 4 stretches both arms out wide.
Child 6 lies flat on hands and toes.
Their red lines lie flat.
Why A sleeping line lies flat like you in bed
: , .
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q5 E. Try som o t e f hese aasanas. Discuss the lines that you notice while doing the
aasanas.
1 2 3
4 5 6
7 8 9
Nn
i e child e r n do aasanas. The book draws a thin red line on each child. We have numbered
them 1 to 9.
Sample answer: “I stand tall. My body makes a standing line. I bend back. My back is curved.ˮ
Why Our body can make every kind of line
: .
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l h h e l i g i h i e A aS m · NCERT So ut ons
− Exp anat on
l i
For t -up: Let the child try a few poses from the picture, slowly and with help. Say
he grown
“keep your back straightˮ, “arms straightˮ, “curve your backˮ, “slant your arms and legsˮ.
Each time ask: which line does your body make now?
What is Straight ? — Page 45
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l h h e l i g i h i e
a g l A aS m · NCERT So ut ons
gl e l i
Ho a piece of thread
co m
m.
ld
m as e
Q1 Ho
.co
a piece of thread in your hands.
a g l
se m
ld
Sleeping/Horizontal line
g l a
a Is it straight?
co m
m . ag
Sleepianglagse/Horizontal line
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
ag
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
Aas e
a g l o sap
child h ld iece of thread in both hands.
co m
m .
Yes.oIm as e
.c
t is straight.
a g l
m
se Pull the thread tight with both hands.
a
agl It lies flat. It does not bend.
c
m .
m t line a s e
agl
Why A tight thread makes a str.caoigh
m
: .
l a se
a g
co m
m .
m ase
.co
a g l Page 9 of 27
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q2 Now bring your hands closer.
Curv n ed li e
Is t stra t?
i igh
Curved line
A olds a piece of thread in both hands.
child h
No. It is not straight.
Bring your hands closer.
The thread hangs down in the middle.
It bends like a smile.
Why A loose thread bends It makes a curved line
: . .
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q3 Slanting line
Is it straight?
Slanting line
A olds a piece of thread in both hands.
child h
Yes. It is straight.
One hand is up. The other hand is down, to the side.
The tight thread leans. But it does not bend.
Why A slanting line leans but it is still straight
: , .
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q4 Standing/Vertical line
Is it straight?
Standing/Vertical line
A olds a piece of thread in both hands.
child h
Yes. It is straight.
One hand is up. The other hand is right below it.
The tight thread goes straight up and down.
Why It does not bend So it is straight
: . .
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q5 Standing/sleeping/slanting lines are _________
Sleeping/Horizontal line Curv ne
ed li
Slanting line Standing/Vertical line
T
he four pictures of children holding a thread.
Standing/sleeping/slanting lines are straight.
Look at the three tight threads.
None of them bends.
Why Only the curved line bends The other three are straight
: . .
Let us Do — Page 45
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l h h e l i g i h i e
a g l A aS m · NCERT So ut ons
gl e l i
Lines in the park
co m
e m.
m l as
Q1 .co
Trace the missing vertical, horizontal, slanting and curved lines in the picture given
m a g
l a se
below.
a g
co m
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
a g
co m
.
A par . Som n s ar otted: they are missing.
m
k e li e e d
m as e
.co a g l
s m ER
eNSW
gl aA
a Trace the six dotted lines.
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 14 of 27
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l h h e l i g i h i e A aS m · NCERT So ut ons
standing sleeping slanting curved
2
1
4
3
6
5
T
he missing lines, in colour.
Standing: 1 ring pole, 2 swing chain.
Sleeping: 3 bottom of the merry-go-round.
Slanting: 6 top of the seesaw.
Curved: 4 edge of the slide, 5 back arch.
Let us Play with Dots — Page 46
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l h h e l i g i h i e A aS m · NCERT So ut ons
Pages 4647 straight and curved lines on dot sheets
Q1 A. Ma ke new sh apes with straight lines (vertical, horizontal and slanting).
Two ot s d hee ts. The book shows an animal and a box made with straight lines.
Sample answer: a house, a kite and a tent.
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l h h e l i g i h i e A aS m · NCERT So ut ons
standing sleeping slanting
On y stra
l t lines.
igh
Join two dots with a straight line.
Add more lines to close the shape.
Tip: Any shape with only straight lines is right.
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q2 B. Draw different figures with the help of curved lines, like clouds, r ainbow, etc.
Two ot sd hee ts. The book shows a flower and two stars made with curved lines.
Sample answer: a rainbow, a cloud and waves.
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l h h e l i g i h i e
a g l A aS m · NCERT So ut ons
gl e l i
co m
e m.
m l as
m.co a g
l a se
ag
com
e m . ag
g l as
a
co m
em.
m l as
m.co a g
l a se
a g
m a s
m .co agl
l a se
a g
co m
m .
m as e
.co a g l
se m
g l a
a
On y urv
se m
com a
nes.
g l
l c ed li
m . a
Start at one dot.
l ase
Bend your line like a bowag
to the next dot.
co m
Tip: A flower, a ball or a snake is good too.
m .
m as e
.co a g l
a s em
agl Let us Do — Page 48
.c
s e m
m a
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 19 of 27
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l h h e l i g i h i e A aS m · NCERT So ut ons
Pages 4849 draw designs with lines
Q1 A. Ma ke your own dr awing using different types of lines in the space given. Draw a
design with any two types of lines.
The empty space given in the book.
Sample answer: a fence with standing and sleeping lines.
standing sleeping
A samp : a n
le fe ce.
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l h h e l i g i h i e A aS m · NCERT So ut ons
Pick two types of lines.
Draw standing lines for the posts.
Draw sleeping lines across them.
Why The fence uses just two types of lines
: .
Q2 B. Draw a design with any three types of lines.
T he empty space given in the book.
Sample answer: a house.
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l h h e l i g i h i e A aS m · NCERT So ut ons
standing sleeping slanting
A samp : a ous .
le h e
Standing lines for the walls and door.
Sleeping lines for the floor and ceiling.
Slanting lines for the roof.
Why Three types of lines make one house
: .
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l h h e l i g i h i e A aS m · NCERT So ut ons
Q3 C. Draw a design using all types of lines.
T he e mpty space given in the book.
Sample answer: a boat on the water, and the sun.
standing sleeping slanting curved
A samp : a oat, t
le b he sun and waves.
Standing line: the pole of the boat.
Sleeping and slanting lines: the boat and its sail.
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l h h e l i g i h i e
a g l A aS m · NCERT So ut ons
gl e l i
Curved: the sun and the waves.
co m
e m.
m l as
Project sWem
ork
.co— Page 49 a g
a
agt lFo n
Fun w i h ldi g
co m
Q1 Fun w t Fo n
m . ag
sae r as n t nt r Now w p o n t
i h ldi g
I w o a pap r n a , t ma
f e f ld e i h lf i
l a
t a num gr o
kes c e e i he ce e . if e kee f ldi g he
paper further we ge
a be r as s L t us s
f c e t
e r nt n s w
. e ta t r
ee he diffe e li e e ge f e
folding the p aper. Trace the straight lines with red crayon and slanting lines with blue
ayon.
co m
m.
cr
as e
A NSW E R com g l
. a
Reds: estm
a anding and sleeping creases. Blue: slanting creases.
agl
m a s
m .co agl
l a se
a g
co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 24 of 27
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l h h e l i g i h i e A aS m · NCERT So ut ons
T
he paper, opened.
Fold in half, again in half, then corner to corner. Open it.
A out t
b ook: Here “straightˮ means standing and sleeping lines. Slanting lines
he b
are straight too (page 45.
Q2 A. Fold a paper with your friend and check who gets the maximum number of creases.
The one who folds more times gets more creases.
Each of you folds a paper again and again.
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l h h e l i g i h i e A aS m · NCERT So ut ons
Open it. Count the crease lines one by one.
More lines means more creases.
Why Every new fold adds more creases
: .
Q3 B. Try to ma ke curved lines by p aper folding.
A o
f ld always makes a straight crease.
Fold, press and open. The crease is straight.
Fold off many tiny bits of a corner, one after another.
Now the edge looks curved!
Why Many small straight lines look like a curve
: .
Chapter at a glance
A standing line goes up and down. It is also called vertical.
A sleeping line lies flat. It is also called horizontal.
A slanting line leans to one side.
Standing, sleeping and slanting lines are straight.
A curved line bends, like a rainbow.
We find lines in yoga, in a park and in paper folds.
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l h h e l i g i h i e A aS m · NCERT So ut ons
gl e l i
Quick revision
LINE WHAT IT LOOKS LIKE E XAMPLE PAGE
Standing / vertical line Goes straight up and down A pole, a swing chain 4445
Sleeping / horizontal line Lies flat Arms stretched out wide 4445
Slanting line Leans to one side A seesaw 4445
Curved line Bends A rainbow, a cloud 45, 47
Straight line Does not bend Standing, sleeping, slanting lines 45
Crease The line a fold makes Fold a paper in half 49
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