Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Stage: 2 Challenge Level:
What is the area of the tent?
What will you have to make sure stays the same in order to keep the area of the tent the same?
Experiment by moving different pegs (corners) at a time.
You could print off a copy of the island to try out your ideas.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.