copy of psycog sheet 02 (udah dijawab)

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    Educational Aims of the Project

    a. to engage students in the critical analysis of mathematical patterns (sequence)

    completion of individual project work.

    b. to cultivate in the students the general intellectual skills of problem solving thro

    c. to foster commitment to and enthusiasm for Computing with special emphasis o

    technologies.

    d. to equipt students to contribute to the further development of Computing, espec

    spreadsheet technologies.

    Cognitive Skills

    a. Think flexibly and laterally

    b. Apply numerical and reasoning skills

    c. Competence in the use of mathematics to

    know what is possible and what is imposible in computing

    model computational process

    reason about why programs works

    determine the efficiency of algorithms

    d. Analyse and interpret diverse data

    e. Test theory with observation

    f. Critically evaluate and review computer science and information technologies lit

    Due Date : 21-Sep-05Sep 2005Sep 2005

    Sun Mon Tue Wed Thu Fri Sat

    28 29 30 31 1 2 3

    4 5 6 7 8 9 10

    11 12 13 14 15 16 17

    18 19 20 21 22 23 24

    25 26 27 28 29 30 1

    2 3 4 5 6 7 8

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    in computing through the

    gh group and independent project work.

    n mathematical patterns and spreadsheet

    ially as used in mathematical patterns and

    erature

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    LEARNING MATHEMATICS THROUG

    PROBLEMS : SOLUTINO PATTERNS

    1 21 1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    1 2 3 4 5 6 7 8 9 10 1 2

    2 10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    10 9 8 7 6 5 4 3 2 1 10 9

    3 1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    1 6 2 7 3 8 4 9 5 10 1 6

    4 10 5 9 4 8 3 7 2 6 1 10 510 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

    10 5 9 4 8 3 7 2 6 1 10 5

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    0 2 3 4 5 6 7 8 9 10 2 0 2

    0 0 3 4 5 6 7 8 9 10 3 0 0

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    13 1 1 1 1 1 1 1 1 1 1 1

    0 2 2 2 2 2 2 2 2 2 2

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    0 0 0 4 4 4 4 4 4 4 4

    0 0 0 0 5 5 5 5 5 5 5

    0 0 0 0 0 6 6 6 6 6 6

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    0 0 0 0 0 0 7 7 7 7 7

    0 0 0 0 0 0 0 8 8 8 8

    0 0 0 0 0 0 0 0 9 9 9

    0 0 0 0 0 0 0 0 0 10 10

    14 10 0 0 0 0 0 0 0 0 0

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    1 1 1 1 1 1 1 1 1 1

    15 1 1 1 1 1 1 1 1 1 1

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    0 0 0 0 0 0 0 0 9 10 10 0 0

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    18 0 0 0 0 0 0 0 0 2 1

    0 0 0 0 0 0 0 3 2 1

    0 0 0 0 0 0 4 3 2 0

    0 0 0 0 0 5 4 3 0 0

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    0 2 3 4 0 0 4 3 2 0

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    20 1 2 3 4 5 6 7 8 9 10 1 1 2

    11 12 13 14 15 16 17 18 19 20 2 11 12

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    61 62 63 64 65 66 67 68 69 70 7 61 62

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    91 92 93 94 95 96 97 98 99 100 10 91 92

    21 1 11 21 31 41 51 61 71 81 91 1 1 11

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    3 13 23 33 43 53 63 73 83 93 3 3 13

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    80 79 78 77 76 75 74 73 72 71 3 80 79

    70 69 68 67 66 65 64 63 62 61 4 70 69

    60 59 58 57 56 55 54 53 52 51 5 60 59

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    50 49 48 47 46 45 44 43 42 41 6 50 49

    40 39 38 37 36 35 34 33 32 31 7 40 39

    30 29 28 27 26 25 24 23 22 21 8 30 29

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    23 100 90 80 70 60 50 40 30 20 10 1 100 90

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    25 0 2 0 4 0 6 0 8 0 10 1 0 20 12 0 14 0 16 0 18 0 20 2 0 12

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    0 92 0 94 0 96 0 98 0 100 10 0 92

    26 1 2 3 4 5 6 7 8 9 10 1

    20 19 18 17 16 15 14 13 12 11 2

    21 22 23 24 25 26 27 28 29 30 3

    40 39 38 37 36 35 34 33 32 31 4

    41 42 43 44 45 46 47 48 49 50 5

    60 59 58 57 56 55 54 53 52 51 6

    61 62 63 64 65 66 67 68 69 70 7

    80 79 78 77 76 75 74 73 72 71 8

    81 82 83 84 85 86 87 88 89 90 9

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    100 99 98 97 96 95 94 93 92 91 10

    27 1 20 21 40 41 60 61 80 81 100

    2 19 22 39 42 59 62 79 82 99

    3 18 23 38 43 58 63 78 83 98

    4 17 24 37 44 57 64 77 84 97

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    8 13 28 33 48 53 68 73 88 93

    9 12 29 32 49 52 69 72 89 92

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    28 100 99 98 97 96 95 94 93 92 91

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    80 79 78 77 76 75 74 73 72 71

    61 62 63 64 65 66 67 68 69 70

    60 59 58 57 56 55 54 53 52 51

    41 42 43 44 45 46 47 48 49 50

    40 39 38 37 36 35 34 33 32 31

    21 22 23 24 25 26 27 28 29 30

    20 19 18 17 16 15 14 13 12 11

    1 2 3 4 5 6 7 8 9 10

    29 100 81 80 61 60 41 40 21 20 1

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    91 90 71 70 51 50 31 30 11 10

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    3 23 43 63 83 84 64 44 24 4

    5 25 45 65 85 86 66 46 26 6

    7 27 47 67 87 88 68 48 28 8

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    11 31 51 71 91 92 72 52 32 12

    13 33 53 73 93 94 74 54 34 14

    15 35 55 75 95 96 76 56 36 16

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    19 39 59 79 99 100 80 60 40 20

    31 100 80 60 40 20 19 39 59 79 99

    98 78 58 38 18 17 37 57 77 97

    96 76 56 36 16 15 35 55 75 95

    94 74 54 34 14 13 33 53 73 93

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    92 72 52 32 12 11 31 51 71 91

    90 70 50 30 10 9 29 49 69 89

    88 68 48 28 8 7 27 47 67 87

    86 66 46 26 6 5 25 45 65 85

    84 64 44 24 4 3 23 43 63 83

    82 62 42 22 2 1 21 41 61 81

    32 1 21 41 61 81 2 22 42 62 82

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    5 25 45 65 85 6 26 46 66 86

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    9 29 49 69 89 10 30 50 70 90

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    89 69 49 29 9 10 30 50 70 90

    91 71 51 31 11 12 32 52 72 92

    93 73 53 33 13 14 34 54 74 94

    95 75 55 35 15 16 36 56 76 96

    97 77 57 37 17 18 38 58 78 98

    99 79 59 39 19 20 40 60 80 100

    34 1 3 5 7 9 11 13 15 17 19

    21 23 25 27 29 31 33 35 37 39

    41 43 45 47 49 51 53 55 57 59

    61 63 65 67 69 71 73 75 77 79

    81 83 85 87 89 91 93 95 97 99

    82 84 86 88 90 92 94 96 98 100

    62 64 66 68 70 72 74 76 78 80

    42 44 46 48 50 52 54 56 58 60

    22 24 26 28 30 32 34 36 38 40

    2 4 6 8 10 12 14 16 18 20

    35 100 98 96 94 92 90 88 86 84 82

    80 78 76 74 72 70 68 66 64 62

    60 58 56 54 52 50 48 46 44 42

    40 38 36 34 32 30 28 26 24 22

    20 18 16 14 12 10 8 6 4 2

    19 17 15 13 11 9 7 5 3 1

    39 37 35 33 31 29 27 25 23 21

    59 57 55 53 51 49 47 45 43 41

    79 77 75 73 71 69 67 65 63 61

    99 97 95 93 91 89 87 85 83 81

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    36 1 3 5 7 9 11 13 15 17 19

    21 23 25 27 29 31 33 35 37 39

    41 43 45 47 49 51 53 55 57 59

    61 63 65 67 69 71 73 75 77 79

    81 83 85 87 89 91 93 95 97 99

    2 4 6 8 10 12 14 16 18 2022 24 26 28 30 32 34 36 38 40

    42 44 46 48 50 52 54 56 58 60

    62 64 66 68 70 72 74 76 78 80

    82 84 86 88 90 92 94 96 98 100

    37 81 83 85 87 89 91 93 95 97 99

    61 63 65 67 69 71 73 75 77 79

    41 43 45 47 49 51 53 55 57 59

    21 23 25 27 29 31 33 35 37 39

    1 3 5 7 9 11 13 15 17 19

    2 4 6 8 10 12 14 16 18 20

    22 24 26 28 30 32 34 36 38 4042 44 46 48 50 52 54 56 58 60

    62 64 66 68 70 72 74 76 78 80

    82 84 86 88 90 92 94 96 98 100

    38 1 100 3 98 5 96 7 94 9 92

    11 90 13 88 15 86 17 84 19 82

    21 80 23 78 25 76 27 74 29 72

    31 70 33 68 35 66 37 64 39 62

    41 60 43 58 45 56 47 54 49 52

    51 50 53 48 55 46 57 44 59 42

    61 40 63 38 65 36 67 34 69 32

    71 30 73 28 75 26 77 24 79 22

    81 20 83 18 85 16 87 14 89 12

    91 10 93 8 95 6 97 4 99 2

    39 100 1 98 3 96 5 94 7 92 9

    90 11 88 13 86 15 84 17 82 19

    80 21 78 23 76 25 74 27 72 29

    70 31 68 33 66 35 64 37 62 39

    60 41 58 43 56 45 54 47 52 49

    50 51 48 53 46 55 44 57 42 59

    40 61 38 63 36 65 34 67 32 69

    30 71 28 73 26 75 24 77 22 79

    20 81 18 83 16 85 14 87 12 89

    10 91 8 93 6 95 4 97 2 99

    40 1 11 21 31 41 51 61 71 81 91

    100 90 80 70 60 50 40 30 20 10

    3 13 23 33 43 53 63 73 83 93

    98 88 78 68 58 48 38 28 18 8

    5 15 25 35 45 55 65 75 85 95

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    96 86 76 66 56 46 36 26 16 6

    7 17 27 37 47 57 67 77 87 97

    94 84 74 64 54 44 34 24 14 4

    9 19 29 39 49 59 69 79 89 99

    92 82 72 62 52 42 32 22 12 2

    41 100 90 80 70 60 50 40 30 20 101 11 21 31 41 51 61 71 81 91

    98 88 78 68 58 48 38 28 18 8

    3 13 23 33 43 53 63 73 83 93

    96 86 76 66 56 46 36 26 16 6

    5 15 25 35 45 55 65 75 85 95

    94 84 74 64 54 44 34 24 14 4

    7 17 27 37 47 57 67 77 87 97

    92 82 72 62 52 42 32 22 12 2

    9 19 29 39 49 59 69 79 89 99

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    PATTERNS with SPREADSHEET

    NS :

    3 4 5 6 7 8 9 103 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    3 4 5 6 7 8 9 10

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    8 7 6 5 4 3 2 1

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    2 7 3 8 4 9 5 10

    9 4 8 3 7 2 6 19 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    1st Technique 2nd Techni

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    9 4 8 3 7 2 6 1

    9 4 8 3 7 2 6 1

    1 1 1 1 1 1 1 1

    2 2 2 2 2 2 2 2

    3 3 3 3 3 3 3 3

    4 4 4 4 4 4 4 4

    5 5 5 5 5 5 5 5

    6 6 6 6 6 6 6 6

    7 7 7 7 7 7 7 7

    8 8 8 8 8 8 8 8

    9 9 9 9 9 9 9 9

    10 10 10 10 10 10 10 10

    10 10 10 10 10 10 10 10

    9 9 9 9 9 9 9 9

    8 8 8 8 8 8 8 8

    7 7 7 7 7 7 7 76 6 6 6 6 6 6 6

    5 5 5 5 5 5 5 5

    4 4 4 4 4 4 4 4

    3 3 3 3 3 3 3 3

    2 2 2 2 2 2 2 2

    1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1

    6 6 6 6 6 6 6 6

    2 2 2 2 2 2 2 2

    7 7 7 7 7 7 7 73 3 3 3 3 3 3 3

    8 8 8 8 8 8 8 8

    4 4 4 4 4 4 4 4

    9 9 9 9 9 9 9 9

    5 5 5 5 5 5 5 5

    10 10 10 10 10 10 10 10

    10 10 10 10 10 10 10 10

    5 5 5 5 5 5 5 5

    9 9 9 9 9 9 9 9

    4 4 4 4 4 4 4 4

    8 8 8 8 8 8 8 8

    3 3 3 3 3 3 3 3

    7 7 7 7 7 7 7 7

    2 2 2 2 2 2 2 2

    6 6 6 6 6 6 6 6

    1 1 1 1 1 1 1 1

    3 4 5 6 7 8 9 10

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    2.5 4 6 6 6 8 8 10

    3 3.33 4.33 6 6 6 9 9

    0 4 4.5 4 4 8 8 8

    0 0 5 5 5 5 5 10

    0 0 0 6 6 6 6 6

    0 0 0 0 7 7 7 7

    0 0 0 0 0 8 8 8

    0 0 0 0 0 0 9 9

    0 0 0 0 0 0 0 10

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    0 0 0 0 0 0 0 0

    6 0 0 0 0 0 0 0

    3 4 0 0 0 0 0 0

    2 4 5 0 0 0 0 00 3 5 6 0 0 0 0

    0 0 4 6 7 0 0 0

    0 0 0 5 7 8 0 0

    0 0 0 0 6 8 9 0

    0 0 0 0 0 7 9 10

    0 0 0 0 0 0 8 10

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    3 4 5 6 7 8 9 10

    13 14 15 16 17 18 19 20

    23 24 25 26 27 28 29 30

    33 34 35 36 37 38 39 40

    43 44 45 46 47 48 49 50

    53 54 55 56 57 58 59 60

    63 64 65 66 67 68 69 70

    73 74 75 76 77 78 79 8083 84 85 86 87 88 89 90

    93 94 95 96 97 98 99 100

    21 31 41 51 61 71 81 91

    22 32 42 52 62 72 82 92

    23 33 43 53 63 73 83 93

    24 34 44 54 64 74 84 94

    25 35 45 55 65 75 85 95

    26 36 46 56 66 76 86 96

    27 37 47 57 67 77 87 97

    28 38 48 58 68 78 88 98

    29 39 49 59 69 79 89 99

    30 40 50 60 70 80 90 100

    98 97 96 95 94 93 92 91

    88 87 86 85 84 83 82 81

    78 77 76 75 74 73 72 71

    68 67 66 65 64 63 62 61

    58 57 56 55 54 53 52 51

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    48 47 46 45 44 43 42 41

    38 37 36 35 34 33 32 31

    28 27 26 25 24 23 22 21

    18 17 16 15 14 13 12 11

    8 7 6 5 4 3 2 1

    80 70 60 50 40 30 20 10

    79 69 59 49 39 29 19 9

    78 68 58 48 38 28 18 8

    77 67 57 47 37 27 17 7

    76 66 56 46 36 26 16 6

    75 65 55 45 35 25 15 5

    74 64 54 44 34 24 14 4

    73 63 53 43 33 23 13 3

    72 62 52 42 32 22 12 2

    71 61 51 41 31 21 11 1

    3 0 5 0 7 0 9 013 0 15 0 17 0 19 0

    23 0 25 0 27 0 29 0

    33 0 35 0 37 0 39 0

    43 0 45 0 47 0 49 0

    53 0 55 0 57 0 59 0

    63 0 65 0 67 0 69 0

    73 0 75 0 77 0 79 0

    83 0 85 0 87 0 89 0

    93 0 95 0 97 0 99 0

    0 4 0 6 0 8 0 100 14 0 16 0 18 0 20

    0 24 0 26 0 28 0 30

    0 34 0 36 0 38 0 40

    0 44 0 46 0 48 0 50

    0 54 0 56 0 58 0 60

    0 64 0 66 0 68 0 70

    0 74 0 76 0 78 0 80

    0 84 0 86 0 88 0 90

    0 94 0 96 0 98 0 100

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    ue 3rd Technique

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    4th Technique

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    5th Technique

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    Personal Learning Log Sheet

    Problem Technique Dates of Project/Activity Short description of activity

    No What did I do and why

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    What did I learn from it How can I apply the learning Any action points required