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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Perusing Patterns

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Pattern Making

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Chairs and Tables

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Repeating Patterns

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Chain of Changes

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Missing Middles

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Digit Addition

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Tables Without Tens

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Play to 37

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Up and Down Staircases

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Sticky Triangles

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What does the word 'pattern' mean to you? Before reading any more, pause to think.

Perhaps you imagine geometrical shapes arranged in particular ways. Maybe pattern for you is about repetition. Perhaps you think of a sequence of numbers, going up in equal steps. Or...

The tasks in this feature will give you the chance to identify different kinds of pattern, copy patterns, extend patterns and create your own, all of which will help you think mathematically.

Age 3 to 5

In this activity, there are lots of different patterns for children to make, describe and extend.

Age 5 to 7

Challenge Level

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Age 5 to 7

Challenge Level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Age 5 to 7

Challenge Level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Age 5 to 7

Challenge Level

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

Age 5 to 11

Challenge Level

Try out this number trick. What happens with different starting numbers? What do you notice?

Age 7 to 11

Challenge Level

Investigate and explain the patterns that you see from recording
just the units digits of numbers in the times tables.

Age 7 to 11

Challenge Level

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Age 7 to 11

Challenge Level

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Age 7 to 11

Challenge Level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?