# Repeating Patterns

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## In this video on repeating patterns Year 2

Nico and Nia are thinking about a birthday present for their friend. Nia suggests a necklace like the one Nico is wearing but Nico thinks it is a little bit boring. Nia has an idea about how they could make the present a bit more interesting by using geometric repeating patterns. Let’s join them and learn more about creating repeating patterns using shapes.

## Repeating patterns definition

Repeating patterns are patterns where elements are repeated as the pattern extends. For example, we can make simple repeating patterns with a green circle, then add a red circle, then another green circle and so on to create our repeating pattern.

We could also make 2D shape repeating patterns with the same colour and shape, just using different sizes. We could start with a small square, then add a large square, then another small square and so on.

## Repeating geometric patterns

Nico and Nia have some 3D shape beads to make their necklaces. When we make repeating patterns in mathematics with shapes we can use different shapes or the same shape. Let’s look at these examples of repeating patterns shapes.

Nico starts his pattern with a cube shaped bead. He then add a sphere shaped bead before adding another cube shaped bead. We can see his repeating pattern here.

Nia decides to use the same bead in her pattern- a green cylinder. To make it a repeating pattern, she decides to turn her bead. Nia makes a quarter turn clockwise each time to continue her repeating pattern.

## Repeating shape patterns KS1- summary

Today we learnt about repeating patterns. We learnt that you can make repeating patterns with shapes. * You can make a repeating pattern using different shapes and alternating them. * You can make repeating patterns using the same shape but turning it to create different repeating patterns.

## Repeating patterns worksheets and more

To continue learning about repeating patterns, have a look at our repeating patterns worksheet as well as our repeating patterns KS1 interactive exercises and activities.

## Repeating Patterns exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Repeating Patterns.
• ### Which group of beads should Nico use next?

Hints

Look at the beads that are on the necklace so far. These same beads must be in the correct group.

What is the pattern being made on the necklace so far? What comes after the last bead?

Solution

The next three shapes will be a green circle, an orange square and then a green circle.

The necklace followed the pattern green circle, orange square, green circle, orange square etc., ending with an orange square, meaning the next bead must be a green circle.

• ### Which ones are repeating patterns?

Hints

Remember, a repeating pattern repeats. Do the shapes appear again in the pattern? If so, it could be a repeating pattern.

A repeating pattern can be made with different shapes or it can be made with the same shape turned.

There are two correct options.

Solution
1. This is a repeating pattern. It is made by turning the pink rectangle a quarter-turn clockwise each time.
2. This is not a repeating pattern. The circles may repeat but they do so randomly.
3. This is a repeating pattern. It follows the pattern of star, green square, red square etc..
4. This is not a repeating pattern. This is a row of random shapes.
• ### Which beads should Nia use next?

Hints

Look at the last bead in the pattern. What has come after this bead before? What colour and orientation?

Once you have the first next bead, think about which one comes after that in the pattern. What colour and orientation?

Solution
1. The next bead is the purple triangle in this orientation. It has made a half-turn from the first bead.
2. The second next bead is an orange triangle.
3. The third next bead is an orange triangle that has made a half-turn from the one before it.
• ### Can you sort the beads to continue this pattern?

Hints

Look at the bottom shape, what is it and which orientation is it in? Find it earlier in the pattern and look at what comes next.

The green rhombus makes a quarter-turn when it repeats. Look carefully at the orientation of the shapes to continue the pattern correctly.

Solution

The repeating pattern is green rhombus, green rhombus that has made a quarter turn, purple square, green square. This then repeats.

The next four shapes are:

1. Green rhombus that has made a quarter-turn.
2. Purple square.
3. Green square.
4. Green rhombus.

• ### Can you continue the pattern?

Hints

Work out the pattern, and say the shapes and colours out loud. What comes next?

The pattern finishes with a blue square. What comes after a blue square?

Look carefully at the orientation of the shapes in the pattern. It is a repeating pattern so you will need to find the shape that is in the same orientation.

Solution

The next shape would be an orange rectangle in this orientation, as that is what follows a blue square.

• ### How has the pattern been made?

Hints

Remember which direction is clockwise and which is anti-clockwise.

If a bead has made a half-turn, it looks like it is upside down compared to the previous one. If a bead has made a full turn, it looks the same as the previous one.

If a bead has made a quarter-turn, it can look like it is on its side compared to the previous bead. For example, this cylinder makes a quarter-turn clockwise to continue the pattern.

Solution

The shapes in the top pattern were making a quarter-turn clockwise each time. You can see this as the heart makes a quarter-turn to the right, or clockwise, each time.

The shapes in the bottom pattern were making a half-turn each time. You can see this as the 'A' looks like it is turning upside down, then the right way up each time.