Counting in 9s from any number forms a ‘1-back-10-on’ diagonal pattern Counting in 8s from any number forms a ‘2-back-10-on’ diagonal pattern Counting in 7s from any number forms a ‘3-back-10-on’ diagonal pattern
• Scattered patterns:
90 91 92 93 94 95 96 97 98 99 80 81 82 83 84 85 86 87 88 89 70 71 72 73 74 75 76 77 78 79 60 61 62 63 64 65 66 67 68 69 50 51 52 53 54 55 56 57 58 59 40 41 42 43 44 45 46 47 48 49 30 31 32 33 34 35 36 37 38 39 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Count in 3s from any number
any number
96 97 98 99 86 87 88 89 76 77 78 79 66 67 68 69 56 57 58 59 46 47 48 49 36 37 38 39 26 27 28 29 16 17 18 19 6 7 8 9
90 91 92 93 94 95 96 97 98 99 80 81 82 83 84 85 86 87 88 89 70 71 72 73 74 75 76 77 78 79 60 61 62 63 64 65 66 67 68 69 50 51 52 53 54 55 56 57 58 59 40 41 42 43 44 45 46 47 48 49 30 31 32 33 34 35 36 37 38 39 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Count in 6s from any number
Counting in 3s, 4s or 6s from any number forms a scattered pattern. Such patterns can be ‘organised’ by restructuring the 0 to 99 number grid. For example, by using 20 numbers per row, the scattered pattern for counting in 4s above can be changed into a column pattern:
0 1 2 3 4 5 6 7 8 9 Count in 4s from any number
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
By using thirty numbers per row, the scattered patterns for both 3 and 6 above can be changed into column patterns.
Section 3: Teaching and learning Mathematics 33
90 91 92 93 94 95 96 97 98 99 80 81 82 83 84 85 86 87 88 89 70 71 72 73 74 75 76 77 78 79 60 61 62 63 64 65 66 67 68 69 50 51 52 53 54 55 56 57 58 59 40 41 42 43 44 45 46 47 48 49 30 31 32 33 34 35 36 37 38 39 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Count in 3s from any number
90 91 92 93 94 95 96 97 98 99 80 81 82 83 84 85 86 87 88 89 70 71 72 73 74 75 76 77 78 79 60 61 62 63 64 65 66 67 68 69 50 51 52 53 54 55 56 57 58 59 40 41 42 43 44 45 46 47 48 49 30 31 32 33 34 35 36 37 38 39 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Count in 4s from any number
90 91 92 93 94 95 96 97 98 99 80 81 82 83 84 85 86 87 88 89 70 71 72 73 74 75 76 77 78 79 60 61 62 63 64 65 66 67 68 69 50 51 52 53 54 55 56 57 58 59 40 41 42 43 44 45 46 47 48 49 30 31 32 33 34 35 36 37 38 39 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Count in 4s from any number
90 91 92 93 94 95 96 97 98 80 81 82 83 84 85 86 87 88 70 71 72 73 74 75 76 77 78 60 61 62 63 64 65 66 67 68 50 51 52 53 54 55 56 57 58 40 41 42 43 44 45 46 47 48 30 31 32 33 34 35 36 37 38 20 21 22 23 24 25 26 27 28 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 Count in 6s from any numbe
90 91 92 93 94 95 96 97 80 81 82 83 84 85 86 87 70 71 72 73 74 75 76 77 60 61 62 63 64 65 66 67 50 51 52 53 54 55 56 57 40 41 42 43 44 45 46 47 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Count in 6s from any nu
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