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By

MOHAMMAD RIZWAN (H.M.)

CLASS – IV MATHEMATICS

KV IAT GIRINAGAR, PUNE

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5.Patterns

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5.1 Patterns on Hundred’s charts

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Patterns of sums

  • 1 + 2 + 3 + __ = 55
  • 11 + 12 + 13 + _ = 155
  • 21 + 22 + 23 + _ = 255
  • 31 + 32 + 33 + _ = 355

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  • 91 + 92 +93 + _ = 955

Find some more patterns from the above chart.

Activity

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5.2 Table Patterns

Here are some patterns of multiples of 2,3,4,5,… on a

6 X 6 grid of numbers.

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Multiples of 2

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Multiples of 3

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5.2 Table Patterns

Here are some patterns of multiples of 2,3,4,5,… on a

6 X 6 grid of numbers.

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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

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5.3 Number Patterns Arising out of Addition of Consecutive Numbers.�

Three consecutive number

  • 1 + 2 + 3 = 6
  • 2 + 3 + 4 = 9
  • 3 + 4 + 5 =12

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  • 8 + 9 +10=27

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Three consecutive numbers

The sums are multiples of 3. Also,

the sum is thrice the middle term.

Four consecutive numbers

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  • 1 + 2 + 3 + 4 = 10
  • 2 + 3 + 4 + 5 = 14
  • 3 + 4 + 5 + 6 = 18

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  • 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 twice

The sum of the two middle terms .

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Five consecutive numbers

The sums are multiples of 5

  • 1 + 2 + 3 + 4 + 5 = 15
  • 2 + 3 + 4 + 5 + 6 = 20
  • 3 + 4 + 5 + 6 + 7 = 25

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  • 15 + 16 + 17 + 18 +19 = 85

Obtain the patterns in the sum of six, seven, eight, etc.,

consecutive numbers.

Activity

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5.4 Adding odd numbers

From the pattern given above, find the sum of first

(a) 10 odd numbers (b)13 odd numbers

(c)22 odd numbers

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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.____

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And so on.

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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