1. By Mrs. PUSHPA PRAKASH, CLASS – IV MATHEMATICS
KV IAT GIRINAGAR, PUNE By
Mrs. PUSHPA PRAKASH,
CLASS – IV MATHEMATICS

2. 5.Patterns 5.1 Patterns on Hundred’s charts Columns R o w s 1 2 3 4 56 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 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100 R o w s

3. Find some more patterns from the above chart.
Patterns of sums
__ = 55
_ = 155
_ = 255
_ = 355 :
_ = 955
Activity
Find some more patterns from the above chart.

4. 5.2 Table Patterns
Here are some patterns of multiples of 2,3,4,5,… on a
6 X 6 grid of numbers.
Multiples of 2
Multiples of 3 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 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

5. 5.2 Table Patterns
Here are some patterns of multiples of 2,3,4,5,… on a
6 X 6 grid of numbers.
Multiples of 4 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 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
Activity
Take a few 10 x 10 grids of numbers.Obtain the patterns of the
multiples of 2,3,4,5,6,7,8,9and10.Use one sheet for one number.

6. 5.3 Number Patterns Arising out of Addition of Consecutive Numbers.
= 6
= 9
=12 .
=27
Three consecutive numbers
Four consecutive numbers
= 10
= 14
= 18 .
= 46
Three consecutive number
The sums increase in 4’s.All are
are even numbers which are not the
Multiples of 4.Also,the sum is twice
The sum of the two middle terms .
The sums are multiples of 3. Also,
the sum is thrice the middle term.

7. Five consecutive numbers
= 15
= 20
= 25 .
= 85
The sums are multiples of 5
Activity
Obtain the patterns in the sum of six, seven, eight, etc.,
consecutive numbers.

8. How many numbers are added to get 4? What is 2 x 2 ?
5.4 Adding odd numbers
1 + 3 = 4 (2 x 2)Ans.____
= 9 (3 x 3)Ans.____
= 16 (4 x 4)Ans.____
= 25 (5 x 5)Ans.____
And so on.
How many numbers are added to get 4? What is 2 x 2 ?
How many numbers are added to get 9? What is 3 x 3 ?
How many numbers are added to get 16? What is 4 x 4 ?
How many numbers are added to get 25? What is 5 x 5 ?
Activity
From the pattern given above, find the sum of first
(a) 10 odd numbers (b)13 odd numbers
(c)22 odd numbers