A Square Investigation

... A SQUARE INVESTIGATION Aim: The aim of this investigation is to find any rules, patterns of square numbers. Patterns/ rules will be discussed step by step below. Firstly a square number is a number multiplied by it. The name becomes apparent if one looks at a diagram of a square. e.g. 2^2 = 2*2= 4sq units; we say 4 is the square of 2. Hence a square number gives the area of a square. Method: the first step was to draw the table below. (Explain what each column means, draw a graph). X NUMBER X^2 SQUARE NO. OF TENS DIFFERENCE NO. OF UNITS 0 0 0 0 1 1 0 0 1 2 4 0 0 4 3 9 0 0 9 4 16 1 1 6 5 25 2 1 5 6 36 3 1 6 7 49 4 1 9 8 64 6 2 4 9 81 8 2 1 10 100 10 2 0 11 121 12 2 1 12 144 14 2 4 13 69 16 3 9 14 196 19 3 6 15 225 22 3 5 16 256 25 3 6 17 289 28 3 9 18 324 32 4 4 19 361 36 4 1 20 400 40 4 0 21 441 44 4 1 22 484 48 4 4 23 529 52 4 9 24 576 57 5 6 25 625 62 5 5 26 676 67 5 6 27 729 72 5 9 28 784 78 6 4 29 841 84 6 1 30 900 90 6 0 31 961 96 6 1 32 1024 102 6 4 33 1089 108 6 9 34 1156 115 7 6 35 1225 122 7 5 36 1296 129 7 6 37 1369 136 7 9 38 1444 144 8 4 39 1521 152 8 1 40 1600 160 8 0 41 1681 168 8 1 42 1764 176 8 4 43 1849 184 8 9 44 1936 193 9 6 45 2025 202 9 5 46 2116 211 9 6 47 2209 220 9 9 48 2304 230 10 4 49 2401 240 10 1 50 2500 250 10 0 51 2601 260 10 1 The first column of number, contains is the numbers that are to be squared. It goes from 0-40. The second column is the numbers squared, from 0-40. The units of the squared numbers make up the fifth column. The number of units follows a sequence of repetition as they go down. The sequence

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