Monday, December 5, 2011

Counting Diagonals

Today we are going to investigate this little problem.  After some discussion we thought we would try and find what the link is between length, width and the number of squares that the diagonal crosses.



Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

7 comments:

  1. its calum.m
    -odd numbers go up by 1 and they stop at square roots
    -even numbers go across by 2 squares and stop at square roots
    -the square root of a number is the same eg.8x8=8
    -prime numbers always go up by 1

    ReplyDelete
  2. We found out that if the width and length are the same then the diagonal will also be the same.



    By Mohammmed Noman and Atif Patel

    ReplyDelete
  3. my team (sophie&dasha) worked that if the length and width are the same then the answer to the amount of squares is aloso equal.Also we tried out many other different stratagies yet some of them didnt work.

    ReplyDelete
  4. This was a very tricky and weird and it resulted in strange patterns and complicated sequences. we found out that if the length and the width are the same, it is also the same with the diagonal crosses. its hard to understand.(i don't quite get it.) but thanks for reading! :)

    ReplyDelete
  5. me and yunus have found a pattern.
    it goes like this:
    5x1 =5
    5x2=6
    5x3=7
    5x4=8
    5x5=5
    5x6=10
    5x7=11
    5x8=12
    5x9=13
    5x10=10
    5x11=15
    5x12=16
    5x13=17
    5x14=18
    5x15=15

    and so on
    it goes in order but there is a change every 4 numbers

    ReplyDelete
  6. I learnt that if you go up 1 and turn right 1 2 of your numbers will be the same

    ReplyDelete
  7. Asad, Ziyan & Callums Team!

    We started by looking at squares because all the sides of an square is the same, so it would be easier.

    We found out that the amount of squares (length) on the outside is the same amount of squares the "diagonal" goes through.

    ReplyDelete

Thank you for commenting!