### Butterfly Cards

Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?

### Domino Sorting

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

### Sort the Street

Sort the houses in my street into different groups. Can you do it in any other ways?

# Guess the Houses for Two

##### Stage: Early years, 1 and 2 Challenge Level:

Here’s a game to play with a grown-up!

How do you play?
You'll need a grown-up to play with.
You’ll also need a set of the rule cards and a set of the house cards, and two pieces of paper, one with ‘yes’ written on it and one with  ‘no’.
Give the rule cards to the grown-up and keep the house cards yourself.

The grown-up looks at the rule cards and secretly chooses one.
Your job is to find out what it says on it.

Choose one house card and give it to the grown-up.
If the answer is ‘yes’ put the house card on the ‘yes’ piece of paper, if the answer is ‘no’ put it on the ‘no’ piece.
Keep giving cards to the grown-up until you think you have worked out what it says on the rule card.
If you’re right, you could swap roles.
If you’re wrong keep going!

What’s the least number of house cards you needed to offer?

Notes for grown-ups
This game is all about making sensible guesses, or conjectures, and explaining your thinking.

Easier version: use only the rule cards with the black border and have them all on view.
Harder version: use all the cards and keep them hidden from view.

When you’ve completed a game, talk together about how the rule was found.
Repeat the game, aiming to reduce the number of house cards offered.

There's a group version of this game here.