Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
How many rectangles can you find in this shape? Which ones are
differently sized and which are 'similar'?
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
The solutions that arrived on our desk
for Numerically Equal all had the same answer, but slightly
different ways of finding it. Jack of Tattingstone Primary School sketched the stages of
Chris used addition to help him with the
Whereas, Sam of St Margaret's
Primary School in Newcastle-under-Lyme, changed this to
$4cm$ x $4$ (sides) $= 16cm$
Does this measurement of 4cm work for
the area? According to Annice and
Yarm Primary School, and Thomas it does!
Backing them up with their answers were Jade and Marion both
of Tattingstone Primary. Great explanations came from both
Asher had the same idea as a Franco of Hazelwood
School, London. Franco solved this "within a few minutes by
thinking of square numbers and dividing them by 4". He
hit upon a 4cm square as one possible answer but remains convinced
it is not the only one and has gone to do further investigations on
his own! Good for you Franco, let us know of any other solutions
your investigations reveal.
There was a second challenge here,
finding a rectangle that is twice as long as it is wide and that
has an area and perimeter of 18
, Marion and
Jade (all of Tattingstone School) had the same strategy that
worked very well for each of them. Each drew a rectangle then drew
the same size rectangle attached to it and calculated the
area. Jack shows us a similar way to Marion and Jade's and how he
can prove his answer.
Christopher and James
both explained in words and numbers rather
The perimeter will be $6+3+6+3$ which equals $18cm$.
The area is $6$ x $3$ which equals $18 cm^2$.