Starfish Spotting

Why do this problem?

Possible approach

Give children chance to consider the task completely on their own for a few minutes - display it on the screen so they also have the visual image of the starfish, and read out the challenge.  Try to insist that there is no talking for these first few minutes so everyone really does have time to think about what they would do to start the problem. You might like to have mini whiteboards available so that learners can jot down their ideas.

Then invite learners to turn to a partner and share their thoughts.  It might be that they have questions too, so after a little while, bring everyone together. Ask for pairs to suggest ways of beginning the task, or to share questions which they have not been able to answer.  Look to other members of the class to provide comments, rather than doing this yourself.

Allow time for pairs to work together to find a solution.  You may wish to post the following on the board as prompts:

• Can you find a solution?
• Can you find another solution?
• Can you find all the solutions? How do you know you've got them all?

In the plenary, you could draw out different ways of approaching the task that you have noticed e.g. by trying a random number of children and starfish, then adapting to get 28 arms; listing multiples of 2 and 5; working in a systematic way such as starting with all children; noticing that if the total number of arms is even then there must be an even number of starfish (or none at all) etc. (This is by no means an exhaustive list and children will find ways that surprise you!)

Key questions

Possible extension

Possible support