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Pattern and Structure

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Patterns are essentially relationships with some kind of regularity between the elements. For young children, research suggests there are three main kinds (read our article below for more detail): 
  1. Shapes with regular features, and shapes made with some equally spaced dots;
  2. A repeated sequence;
  3. A growing pattern.

Pattern awareness has been described as early algebraic thinking and is important for identifying different kinds of mathematical relationships. Research also shows that young children's ability to identify pattern can predict their mathematical achievement later. The tasks in this feature will help you to develop learners' awareness of pattern and will serve as a springboard to exploring mathematical structures.

You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

Pattern Making
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Pattern Making

Age
3 to 5
In this activity, there are lots of different patterns for children to make, describe and extend.
Domino Sequences
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Domino Sequences

Age
5 to 7
Challenge level
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Find the next two dominoes in these sequences.
Chairs and Tables
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Chairs and Tables

Age
5 to 7
Challenge level
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Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Repeating Patterns
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Repeating Patterns

Age
5 to 7
Challenge level
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Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Digit Addition
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Digit Addition

Age
5 to 11
Challenge level
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Try out this number trick. What happens with different starting numbers? What do you notice?

Chain of Changes
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Favourite

Chain of Changes

Age
5 to 7
Challenge level
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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?
Missing Middles
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Missing Middles

Age
5 to 7
Challenge level
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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?
Up and Down Staircases
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Up and Down Staircases

Age
7 to 11
Challenge level
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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?
Tables Without Tens
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Tables Without Tens

Age
7 to 11
Challenge level
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Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
Play to 37
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Favourite

Play to 37

Age
7 to 11
Challenge level
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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.
Sticky Triangles
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Sticky Triangles

Age
7 to 11
Challenge level
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Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?