Logged out
Access All our Essays in an Instant
Swap your work for FREE access, or pay £4.99 for instant access
Number Stairs Maths Investigation
Member rating: No Rating | Words: | Submitted: Tue Aug 26 2003
Page Preview
On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:
Number Stairs Maths Investigation NUMBER STAIRS This is a 10 by 10 Number Grid: 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 61 62 63 64 65 66 67 68 69 70 51 52 53 54 55 56 57 58 59 60 41 42 43 44 45 46 47 48 49 50 31 32 33 34 35 36 37 38 39 40 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 Fig. 1 Marked on the grid is a stair shape; this is called a 3-Step Stair. The total of the numbers inside the stair shape is: 25 + 26 + 27 + 35 + 36 + 45 = 194 The Stair Total for this 3-step stair is 194. Part 1 For other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. Part 2 Investigate further the relationship between the stair totals and other step stairs on other number grids. 4w+1 4w+2 4w+3 4w+4 5w 3w+1 3w+2 3w+3 3w+4 4w 2w+1 2w+2 2w+3 2w+4 3w 1w+1 1w+2 1w+3 1w+4 2w 0w+1 0w+2 0w+3 0w+4 1w w = width Fig. 1 On every size of number grid the formula in each block above will be the right formula for the corresponding number on any grid. However, on larger or smaller number grids some blocks may not exist or more blocks may exist. The formulae in the furthest right hand side column are always in the furthest right...
Get instant access
- Instant, unlimited access to our documents in full
- Swap your work for free access, or pay £4.99
- To see the full version of this document and 150,159 others
