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Abstraction of repeating patterns

Abstraction of repeating patterns

When exploring repeating patterns, students should be encouraged to describe patterns in abstract terms.

Here is a typical repeating pattern made from cubes.

Replace each blue cube with a tall red block (or two red blocks joined together) and you get the same pattern.

Or replace the blocks with beads and change the colours. It is still the same pattern.

Or use drawings instead of objects. It is still the same pattern.

Even 'sit-sit-stand' repeated is the same pattern, as is this musical pattern.

To help students see that all these patterns are the same, describe the unit of repeat using initial letters — for example RRB for red-red-blue, SST for short-short-tall, and so on.

Eventually, students will see that the exact components or letters are unimportant and they will start to talk about an abstract 'AAB pattern' where the A and B can be literally anything.

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Name Class Section
Document Making an AAB pattern Folder 17
Document When are two patterns the same? Folder 17
Document Foundation Year: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects... Infobox 3
Document Source Infobox 3