A Square Investigation

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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

0

0

2

4

0

0

4

3

9

0

0

9

4

6

6

5

25

2

5

6

36

3

6

7

49

4

9

8

64

6

2

4

9

81

8

2

0

00

0

2

0

1

21

2

2

2

44

4

2

4

3

69

6

3

9

4

96

9

3

6

5

225

22

3

5

6

256

25

3

6

7

289

28

3

9

8

324

32

4

4

9

361

36

4

20

400

40

4

0

21

441

44

4

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
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28

784

78

6

4

29

841

84

6

30

900

90

6

0

31

961

96

6

32

024

02

6

4

33

089

08

6

9

34

156

15

7

6

35

225

22

7

5

36

296

29

7

6

37

369

36

7

9

38

...

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