introduction to graph class 8
TRANSCRIPT
Class 8 2
Step 1: (2013) Ask a question to the class consisting of 45 students: How many siblings do you have?Step 2 : Collect the responses. Suppose the responses are: 6,2,1,3,4,3,2,6,5,6,1,2,3,3,2,3,2,3,2,1,2,4,4,5,2,1,2,3,2,3,2,3,4,
1,4,5,4,5,2,1,3,2,1,2,1.Step 3: Do you find it difficult to identify that which student has given the which one response?Step 4: Now, we will prepare a table in which the responses are mentioned in front of student name.
Activity 1
Class 8 3
S.No.
Student Name
Number of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 16,2,1,3,4,3,2,6,5,6,1,2,3,3,2,3,2,3,2,1,2,4,4,
5,2,1,2,3,2,3,2,3,4,1,4,5,4,5,2,1,3,2,1,2,1.
Class 8 4
S.No.
Student Name
Number of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1What is the no. of student who
have least number of siblings?
Class 8 5
S.No.
Student Name
Number of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1What is the no. of student who
have highest number of siblings?
Class 8 6
S.No.
Student Name
Number of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1What is the no. of student who
have no siblings?
Class 8 7
S.No.
Student Name
Number of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1How many students have siblings
more than 3 but less than 6?
Class 8 8
Step 5: To prepare a better visual representation proceed as follows:
Contd...
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25
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0
Num
ber o
f stu
dent
s
Number of siblings
Siblings Record 2013
Class 8 9
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 10
Contd...
1 2 3 4 5 6 7
5
10
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25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
Siblings Record 2013
Class 8 11
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 12
Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14
Siblings Record 2013
Class 8 13
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 14
Contd...
1 2 3 4 5 6 7
5
10
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25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10
Siblings Record 2013
Class 8 15
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 16
Contd...
1 2 3 4 5 6 7
5
10
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25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6
Siblings Record 2013
Class 8 17
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 18
Contd...
1 2 3 4 5 6 7
5
10
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0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4
Siblings Record 2013
Class 8 19
S.No.
Student Name
Number
of siblings
1. Ramesh 62. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 37. Priya 28. Shikha 69. Reema 510. Sonu 611. Monu 112. Shweta 213. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 121. Amit 222. Vinit 423. Sunil 424. Dinesh 525. Yash 226. Ashish 127. Sohan 228. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 436. Om 537. Jaya 438. Sushm
a5
39. Sunita 240. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1
Class 8 20
Contd...
1 2 3 4 5 6 7
5
10
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20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
Siblings Record 2013
Class 8 21
What is the no. of student who have least number of siblings?Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
Ans.
Siblings Record 2013
Class 8 22
What is the no. of student who have highest number of siblings?
Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
Ans.
Siblings Record 2013
Class 8 23
How many students have siblings more than 3 but less than 6?Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
6 + 4 = 10
Ans.
Class 8 24
What is the no. of student who have no siblings?Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
Ans. = 0Siblings Record 2013
Class 8 25
A bar graph is used to show comparison among categories. It may consist of two or more parallel vertical (or horizontal) bars (rectangles).
Bar Graph
1 2 3 4 5 6 7
5
10
15
25
20
0
8Num
ber o
f stu
dent
s
Number of siblings
14 10 6 4 3
Origin
Bars
X-axis
Y-axisSiblings Record 2013
Class 8 27
After two year,
Will the number of siblings of students will be same?
Will the highest or lowest no. of siblings be same as before two years?
How will teacher identify the change in no. of siblings of students?
Class 8 28
S.No.
Student Name
Number
of siblings
1. Ramesh 72. Shipra 23. Anuj 14. Ankit 35. Anit 46. Mahima 47. Priya 28. Shikha 69. Reema 710. Sonu 611. Monu 112. Shweta 413. Silpa 314. Renu 315. Ritu 2
S.No.
Student Name
Number
of siblings
16. Pooja 317. Shantnu 218. Ekansh 319. Dimple 220. Richa 321. Amit 222. Vinit 423. Sunil 324. Dinesh 525. Yash 226. Ashish 127. Sohan 328. Mohan 329. Rekha 230. Rajesh 3
S.No.
Student Name
Number
of siblings
31. Shreya 232. Vani 333. Amita 434. Pankaj 135. Anu 336. Om 537. Jaya 438. Sushm
a5
39. Sunita 340. Neha 141. Atul 342. Akash 243. Alok 144. Vinod 245. Sharda 1No. of siblings 1 2 3 4 5 6 7
No. of students 7 11 14 6 3 3 22015
Class 8 29
1 2 3 4 5 6 7
5
10
15
25
30
20
0
711 14
6 3 3 2
Siblings Record 2015Y-axis
X-axis
Num
ber o
f stu
dent
s
Number of siblings
No. of siblings 1 2 3 4 5 6 7
No. of students 7 11 14 6 3 3 2
Class 8 30
Contd...
1 2 3 4 5 6 7
5
10
15
25
30
20
0
Num
ber o
f stu
dent
s
Number of siblings
78
1114 14
6 6 43 33 2
10
Siblings Record 2013-2015
=
=
2013
2015
Class 8 32
If the no. of siblings increases to 20 then is it easy to plot it on graph paper ?
No. of siblings 0-5 5-10 10-15 15-20
No. of students
18 13 8 5
Class interval
Class 8 33
5 10 15 20
5
10
15
25
30
20
0
1813
8
Siblings Record 2015Y-axis
X-axis
Num
ber o
f stu
dent
s
Number of siblings
No. of siblings 0-5 5-10 10-15 15-20No. of students
18 13 8 20
20
Class 8 34
A Histogram is a bar graph that shows data in intervals. It has adjacent bars over the intervals.
Histogram
Class 8 37
Activity Step 1:Ask student about their favorite subject . Step 2: Collect the responses. Suppose responses are:Hindi, Sanskrit, English, Math, Science, Hindi, English Science, Sanskrit, English, Science, Sanskrit, English, Science, Hindi, Sanskrit, Sanskrit, Hindi, English, English Step 4: Put your data into a table (like above), then add up all
the to get a total.
Step 4: Divide each value by the total and multiply by 100 to get a percentage.
Class 8 38
Step 5: Figure out how many degrees for each "pie slice“. A Full Circle has 360 degrees, so we do this calculation.
Step 6:Draw a circle. Then use the protractor to measure the degrees of each sector.
Class 8 40
Pie Chart A pie chart displays data, information, and statistics in an
easy-to-read 'pie-slice' format with varying slice sizes telling you how much of one data element exists. The bigger the slice, the more of that particular data was gathered.
For example:
20%
25%
30%
5%
20%
Favorite Subject
Hindi Sanskrit
English Math
Science
Class 8 43
Anita fall sick and she went to doctor. Doctor asked her to take medicine and record her body temperature for four days.
Activity
Day 135°C
Day 239°C
Day 336°C
Day 437°C
Class 8 45
She recorded the temperature as follows:
She prepared a graph of the data as follows:
She thought to prepare something different.
No. of days 1 2 3 4Temperature recorded 35°C 39°C 36°C 37°C
Class 8 46
01 2 3 4
20
10
30
40
Tem
pera
ture
reco
rded
( in
°C)
Number of days
. .
No. of days 1 2 3 4Temperature recorded 35°C 39°
C36°C
37°C
. .
Class 8 48
A line graph displays data that changes continuously over periods of time.
Line graph
If this line is straight then what it would be called?
Class 8 50
2 3 4 5 60
1-1
-2
-3
-4
-5
-1-2-3-4-5-6
1
X-axis
Y-axis
2
3
4
5
6
(-4,-3)
.(-4,5)
. (5,-4)
. (1,1)
x-coordinate
Coordinates of the point
y-coordinate
Origin
What is its location?
What is its location?What is its location?
.
(0,0)
Class 8 51
I QuadrantII Quadrant
III Quadrant IV Quadrant
..
.
(1,1)
(-4,5)
(-4,-3) (5,-4)
(+,+)(-,+)
(-,-) (+,-)