What can you say about these shapes? This problem challenges you to
create shapes with different areas and perimeters.
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Although this problem 'just' involved some
calculating, explaining the results was a little more tricky.
Charlie, Tom, James and Jonathan from Avenue Junior School looked
at the journeys that Tom and Ben made:
Jessica from Egerton Primary School
described how her class found lots of different ways of going from
B to E on the grid:
Harry, who goes to St Anne's Primary
School, had a go at the routes on all three grids. He
Harry also played around with the grids a bit,
changing addition to multiplication and subtraction to division or
vice versa. This changed the answer but the answer was still
always the same, no matter what route you took.
Jack and Skye from Swavesey Primary had a go
at the third grid. They said:
Above, Jessica began to explain why she
thought she always got $28$ on the first two grids. The Maths
Galaxy Explorers from North Walsham Junior School clearly thought
very hard about this:
Well done too to Barbara, Cong and Nazra
from Arnhem Wharf Primary School who also realised that they would
always get the same score for a particular grid.