algebra · Foundation · AC9MFA01

Repeating patterns

A repeating pattern uses the same group of shapes again and again. First find the part that repeats: say the pattern aloud and listen for where it starts again. Then keep the repeat going. If a shape is missing, read from the start and see what the repeat needs in the gap. To find a shape far along, count in whole repeats first, then count on.

Sample questions

What shape comes next in the pattern?

?
  1. The part that repeats is: yellow triangle, green diamond.
  2. The last shape shown is a green diamond, which is shape 2 of the repeat.
  3. A new repeat starts, so the next shape is a yellow triangle.

Answer: yellow triangle

What shape comes next in the pattern?

?
  1. The part that repeats is: red circle, yellow triangle.
  2. The last shape shown is a red circle, which is shape 1 of the repeat.
  3. The next shape is shape 2 of the repeat: a yellow triangle.

Answer: yellow triangle

What shape comes next in the pattern?

?
  1. The part that repeats is: purple star, red circle.
  2. The last shape shown is a red circle, which is shape 2 of the repeat.
  3. A new repeat starts, so the next shape is a purple star.

Answer: purple star

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