Love For MathCreative Math Education

DIY Challenge 2

Important: Make sure you explain your observations very clearly.

What students worked out10

  • Student 31

    1=1
    2=2
    3=4
    4=8
    5=16
    there is a pattern in which the compositions of the numbers are doubling
    there is one more pattern
    like 2-1=1,4-2=2,8-4=4,16-8=8

  • Student 25

    1=1
    2=2
    3=4
    4=8
    5=16
    the pattern is the numbers are doubling
    there is one more pattern if not including the number it self like ;-1=0
    2=1
    3=2
    4=3
    5=4

  • Student 2

    NUMBER / HOW MANY!
    1 1
    2 2
    3. 4
    4. 8
    5 16

    PATTERNS:
    1. THE NUMBERS ARE DOUBLING EVERY TIME (eg;1=1,2=2,3=4)
    2. if you add 2 consecutive numbers then subtract them from there how many at least one of their how many are = 1(eg; 1+2=3 3-2=1, 4+5=9 9-8=1

  • Student 4

    1.1
    2.2
    3.4
    4.8
    5.16
    The number of compositions of the current no. is doubling to make the number of compositions of the next no.

  • Student 1

    1-1
    2-2
    3-4
    4-8
    5-16
    The pattern here is its always doubling for the number of ways of decomposition

  • Student 1

    1-1
    2-2
    3-4
    4-8
    5-16
    the number here is always doubling

  • Student 11

    1=1
    2=2
    3=4
    4=8
    5=17
    I C
    I can’t find any patern because I found 17 ways of decomposing 5

  • Student 14

    1=1
    2=2
    3=4
    4=8
    5=16

  • Student 3

    1=1
    2=2
    3=4
    4=8
    5=16

    • Student 3

      6=32
      7=64
      and so on………………..