This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

This article for teachers describes how number arrays can be a useful representation for many number concepts.

Dotty Six is a simple dice game that you can adapt in many ways.

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

What do you see as you watch this video? Can you create a similar video for the number 12?

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

Read this riddle and see if you can work out how the trees must be planted.

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Can you find different ways of showing the same number? Try this matching game and see!

This article for the young and old talks about the origins of our number system and the important role zero has to play in it.

This article looks at how models support mathematical thinking about numbers and the number system