Can you see pattern

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 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
Columns
5.1 Patterns on Hundred’s charts

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

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

6. Three consecutive number
1 + 2 + 3 = 6
2 + 3 + 4 = 9
3 + 4 + 5 =12
.
.
8 + 9 +10=27
Three consecutive numbers
The sums are multiples of 3.
Also,
the sum is thrice the middle
Four consecutive numbers
 1 + 2 + 3 + 4 = 10
 2 + 3 + 4 + 5 = 14
 3 + 4 + 5 + 6 = 18
.
.

10 + 11 + 12 + 13 = 46
The sums increase in 4’s.All are
are even numbers which are not
the
Multiples of 4.Also,the sum is

9. The sums are multiples of 5
 1 + 2 + 3 + 4 + 5 = 15
 2 + 3 + 4 + 5 + 6 = 20
 3 + 4 + 5 + 6 + 7 = 25
.
. 15 + 16 + 17 + 18 +19 = 85
Obtain the patterns in the sum of six, seven, eight, etc.,
consecutive numbers.
Activity

10. From the pattern given above, find the sum of first
(a) 10 odd numbers (b)13 odd numbers
(c)22 odd numbers
1 + 3 = 4 (2 x 2)Ans.____
1 + 3 + 5 = 9 (3 x 3)Ans.____
1 + 3 + 5 +7 = 16 (4 x 4)Ans.____
1 + 3 + 5 + 7 + 9 = 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