Spotting Patterns

Have a look at this row of beads on a string:

πŸ”΄ 🟑 πŸ”΅ πŸ”΄ 🟑 πŸ”΅ πŸ”΄ 🟑 πŸ”΅ …

Did you notice something? The colours go red, yellow, blue β€” and then they do it again. And again. That "doing it again" is called a pattern: something that repeats or turns up the same over and over.

Spotting patterns is a bit of a superpower. Once you see the pattern, you don't have to work out every single bead one at a time β€” you already know what comes next. The next bead has to be red! You worked it out without even looking, just because you spotted the pattern.

Why patterns are so handy

Here is the big idea: when things repeat or look similar, you can reuse a solution instead of starting from scratch every time. That saves you a huge amount of work.

Think about drawing a square. The first time, you have to figure it out: four straight sides, all the same length, with square corners. That takes some thinking! But now imagine you need to draw a hundred squares.

You spotted that all hundred squares are the same, so you only had to solve the puzzle once. That is pattern recognition doing its job.

Watch the pattern repeat

Here is a row of shapes. Press play and watch them appear one at a time. See if you can spot the little group that keeps repeating β€” then the box will slide along to show you the exact chunk that copies itself over and over.

The repeating chunk is circle, square, triangle. That little group of three is called the unit β€” it's the bit that copies itself. Once you know the unit, you can carry the pattern on forever without any hard thinking at all.

Patterns hide in numbers too

Patterns aren't only about colours and shapes. Look at these sums:

2 + 2 = 4    3 + 3 = 6    4 + 4 = 8    5 + 5 = 10

These sums are all similar β€” each one is a number added to itself. Once you spot that, you have a rule you can reuse: "adding a number to itself is the same as doubling it." So the moment you see 7 + 7, you don't have to count on your fingers β€” you just double and know it's 14. One idea, reused again and again.

Everywhere, once you start looking! The days of the week repeat: Monday, Tuesday, … then back to Monday. The seasons repeat every year. A song has a chorus that comes back again and again. Tiles on a floor, stripes on a jumper, the beat in your favourite tune β€” all patterns. People who write computer programs love patterns most of all, because a computer is brilliant at doing the same thing over and over, very fast, without ever getting bored.

A pattern is only useful if it's a real, reliable rule β€” one you've checked enough to trust. Imagine you see just πŸ”΄ πŸ”΄ and shout "the next one is red!" But the beads might really be πŸ”΄ πŸ”΄ πŸ”΅ πŸ”΄ πŸ”΄ πŸ”΅ β€” so the next one is blue! Two beads weren't enough to be sure. Always look at enough of a pattern before you trust it to tell you what comes next. A guess that looks like a pattern but isn't a real repeat will let you down.

Reading a pattern's clock

Here's a clever trick. If a pattern repeats every 3 shapes, then shapes number 3, 6, 9, 12 … are all the same β€” they land right at the end of a repeat. It's a bit like a clock going round. Once you know how long the repeat is, you can leap ahead to any shape you like without drawing all the ones in between. The quiz below lets you practise being a pattern-detective!