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Shape patterns

Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur

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What a learner can do afterwards

  • Given 'start at 1, add 3', generate terms and notice they alternate odd/even
  • Given a shape pattern, predict the next three terms and describe the rule
  • Explain why starting at 2 and adding 4 always gives even numbers

The lesson

A pattern rule tells you two things: where to start, and what to do every time. If the rule is 'start at 1, add 3,' you begin at 1, then add 3 again and again: 1, 4, 7, 10, 13.

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Look closely: 1 is odd, 4 is even, 7 is odd, 10 is even, 13 is odd. Every other number flips between odd and even.
Try it together

Zara makes a shape pattern: circle, square, circle, square, circle. The rule is 'circle, then square, repeat.' The next three shapes are square, circle, square.

circlesquarecirclesquarecircle???
Good to know

Want to know why a pattern always lands on even numbers? Look at the start and the step. If you start on an even number and keep adding an even number, you never leave the even numbers behind.

A rule sets the start and the step, and once you build the pattern, watch for surprises hiding inside it, like numbers that keep flipping between odd and even.

Watch it

Where it sits

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Shape patterns · Mathematics, ages 9 to 10 · LightMySky