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Primary Maths · Year 1Chapter 3 · 2-D and 3-D shapes
Year 1 · 2-D and 3-D Shapes · Lesson 3.6

Year 1: Shape patterns that repeat

Part of the Year 1 2-d and 3-d shapes chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

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3.6

Shape patterns that repeat

Year 1
Copy and continue repeating patterns with shapes
Look for patterns in the playground.

A pattern is something that repeats again and again. Look at these shapes: a circle, a square, a circle, a square. What comes next? The pattern is circle, square. It keeps going.

To find what comes next, first find the part that repeats. Then copy it on to the gap.

??
Circle, square, circle, square. What comes next?

Key ideas

  • A pattern repeats. Find the part that repeats.
  • A repeating part can be 2 shapes or 3 shapes.
  • Copy the repeating part on to the gap.
  • Check that the pattern still goes the same way.
Worked example 3.6.1
What comes next?
?

Method. Find the part that repeats, then copy it on.

  1. Find the part that repeats. Look for the smallest group that comes back again and again.
    Repeat: square, circle
  2. Copy the pattern on to the gap. Keep the same order, one shape at a time.
    shape 5 is square
  3. Write the missing shape.
    square

Check. Read the pattern again. It goes square, circle, then square, circle again. ✓

Watch out. Do not guess. Look at the shapes before the gap and copy the repeat.

Worked example 3.6.2
What comes next?
?

Method. Find the part that repeats, then copy it on.

  1. Find the part that repeats. Look for the smallest group that comes back again and again.
    Repeat: triangle, triangle, square
  2. Copy the pattern on to the gap. Keep the same order, one shape at a time.
    shape 7 is triangle
  3. Write the missing shape.
    triangle

Check. Read the pattern again. It goes triangle, triangle, square, then triangle, triangle, square again. ✓

Watch out. Do not guess. Look at the shapes before the gap and copy the repeat.

Worked example 3.6.3
Here is a pattern: circle, square, square, circle, square, square. What is the 7th shape?

Method. Find the part that repeats, then copy it on.

  1. Find the part that repeats. Look for the smallest group that comes back again and again.
    Repeat: circle, square, square
  2. Copy the pattern on to the gap. Keep the same order, one shape at a time.
    shape 7 is circle
  3. Write the missing shape.
    circle

Check. Read the pattern again. It goes circle, square, square, then circle, square, square again. ✓

Watch out. Do not guess. Look at the shapes before the gap and copy the repeat.

Watch out

Watch out: check the whole repeating part. In circle, square, square the repeat has 3 shapes, not 2. The 4th shape is a circle again, not a square.

Exam tip

Grown-up tip. Make a pattern with buttons or coins, such as big, small, small. Ask your child to point to the part that repeats and to copy it on to the next gap.

Exercise 3F  Repeating patterns

Non-calculator
1
FWhat is the missing shape?
?
2
FWhat is the missing shape?
?
3
FWhat is the missing shape?
?
4
FFind the two missing shapes. Write them in order.
??
5
FThis pattern goes on for ever: triangle, circle, circle, triangle, circle, circle... What is the 9th shape?
6
PSSam makes a pattern: square, circle, triangle, square, circle, triangle, ... What is the 7th shape?
?
7
FThe pattern goes circle, square, circle, square. What are the next two shapes?
8
FFind the missing shape in each pattern.
(a)?
(b)?
(c)?
9
PSA pattern goes: rectangle, circle, rectangle, circle, rectangle, ? What shape comes next, and how do you know?
?
10
PSA pattern of solid shapes goes: cube, sphere, cube, sphere, cube. Which shape comes next?
11
RRavi says the 10th shape in this pattern is a circle: circle, square, triangle, circle, square, triangle... Is he right?

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