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## 'Domino Sequences' printed from http://nrich.maths.org/

## Domino Sequences

What might the next two dominoes be in each of these sequences?

Can you explain why you chose those two dominoes?

### Why do this problem?

This problem introduces sequences in a simple way using a familiar resource. The sequences become increasingly complex so that there is also a challenge for learners.

Possible approach

The children should be familiar with dominoes through free-play and domino games before attempting more formal tasks such as pattern building.

Look at the first sequence together, perhaps using giant dominoes on the floor, or some on the interactive whiteboard (you might find our

Dominoes Environment useful). Ask children to talk in pairs about what they notice and then share ideas with the whole group. Then invite them to suggest how the pattern
could be continued, focusing on their explanations and justifications.

Once the learners have tried this first one together, they should be able to work in their pairs on the rest of the problem. They might find

this sheet of the problem useful.
### Key questions

What do you notice about the numbers at the top of the dominoes? What will the next one be?

What do you notice about the numbers at the bottom of the dominoes? What will the next one be?

Can you explain the pattern?

### Possible extension

Domino Number Patterns provides some slightly more challenging examples of domino sequences. Learners could use dominoes to make their own sequences for a friend to continue. They could make some sequences with a nine-spot set of dominoes, using

this
sheet of them.
### Possible support

Having a number line or number square available to mark off numbers might help children identify a pattern. There are some more similar domino sequences in

Next Domino.

Handouts for teachers are available here (

Word document,

pdf), with the problem on one side and the notes on the other.