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**By Mrs. PUSHPA PRAKASH, CLASS – IV MATHEMATICS**

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

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**5.Patterns 5.1 Patterns on Hundred’s charts Columns R o w s 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

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**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.

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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. 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

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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. 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.

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**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.

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**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.

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**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

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