If I use 12 green tiles to represent my lawn, how many different
ways could I arrange them? How many border tiles would I need each
Look at the mathematics that is all around us - this circular
window is a wonderful example.
I cut this square into two different shapes. What can you say about
the relationship between them?
Use the information on these cards to draw the shape that is being described.
This activity investigates how you might make squares and pentominoes from Polydron.
Can you put these shapes in order of size? Start with the smallest.
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
A thoughtful shepherd used bales of straw to protect the area
around his lambs. Explore how you can arrange the bales.
What can you say about these shapes? This problem challenges you to
create shapes with different areas and perimeters.
Can you draw a square in which the perimeter is numerically equal
to the area?
Sally and Ben were drawing shapes in chalk on the school
playground. Can you work out what shapes each of them drew using
Can you predict, without drawing, what the perimeter of the next
shape in this pattern will be if we continue drawing them in the