The Numbers Give the Design
THESE ARE THE SOLUTIONS FOR JUNE 2010
Many thanks for the great pictures that were sent in. It seems you
enjoyed the activity as well as drawing some conclusions. Here is
Maisy's comment who learns at home.
I have been investigating solutions for the numbers give the design
I loved making different shapes out of number patterns such as
square numbers, $7$x table and triangular numbers etc. I started
off doing them by hand but after a bit I decided to do it on
textease logo I found that the $3$x table was a mirror image of the
$7$x table. I liked the triangular numbers best as they made
beautiful patterns.
Emma and Lily From Kings Sutton Primary School send in
a Word document;
We wanted to see what the differences would be if we kept the same
times table but changed the angle.
So here are their lovely pictures for $90$, $60$ and $45$
degrees.
We had a hypothesis that as the angle got smaller the shape would
be more complicated. When we did a $60$ degree angle this theory
changed because the $60$ degree one was very simple whereas the
$90$ degree angle picture was more confusing. The $45$ degree
picture matched with our hypothesis and the shape is very confusing
compared to the $60$ or the $90$ degree shape.
Emma and Angel from the same school also sent in a document as
follows;
After many tries and dead ends we eventually found out
the solution to the problem! We found out that if the times table
didn't have a odd number as a unit then when you repeated the
pattern it wouldn't link up. However if you used a times table with
a odd number as a unit the lines would make a pattern. These are
some examples, first $11$ then $13$ and last is the $2$ times
table.
