What fractions can you find between the square roots of 56 and 58?
Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?
What fraction of the volume of this can is filled with lemonade?
Simulation with counters or coloured cubes is the most useful
aid to visualisation. For example put 20 counters into a bag and
explain that the bag is the pond and the whole fish population in
this instance is 20. Remove 5 counters and replace them with
counters of a different colour, explaining that these five are the
first sample, and the different colour allows the counters 'caught'
for a second time to be identified. Now make the second sample of
A population of 100, with a sample size of 20, might give
estimates closer to the actual population, and this may perhaps
help students to see how to use the fraction re-caught.