Investigating the Relationship Between the Stairs and the Position of the Step Stair

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Investigating the Relationship Between the Stairs and the Position of the Step Stair

We have been set a problem which is to investigate step stairs.

Throughout this report I will be planning how to tackle the problem,

break it down simpler into an equation. All the results will be put

into tables so I can look for a pattern. I will then produce my own

rule to use and test and justify it. The problem to which I am solving

is creating my own rule to use to calculate the 3step-stair.

My aims throughout this investigation are for each step stair is to

investigate the relationship between the stairs and the position of

the step stair. To make sure my rule is correct I will change the step

size or grid size and work out the formula again.

Aims and Objectives

* For other 3-step stairs, investigate the relationship between the

stair total and the position of the stair shape on the grid.

* Investigate further the relationship between the stair total and the

other step stairs on other number grids.

3 Step-Stairs

Look at the stair shape drawn on the 10 by 10 number Grid below.

91

92

93

94

95

96

97

98

99

100

841

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

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