# Video: Growing Patterns

In this video, we will learn how to complete and fill the gaps in patterns involving numbers and shapes.

04:55

### Video Transcript

Growing Patterns. In this video, we will learn how to complete and fill the gaps in patterns involving numbers and shapes.

We read patterns in just the same way as we read a sentence in a book, from left to right. To complete a pattern or find out what comes next in a pattern, first we have to work out what the rule of the pattern is. In other words, what happens to the number or the shape each time. We have to look closely at the pattern and work out what’s changing each time or what’s different. Once we know the rule of the pattern, we can use it to work out what comes next.

The first step is to find the rule. Our pattern begins with one orange square. The next shape has two orange squares. What did we do to the first square to make it into a shape with two squares? We’ve added a square where the blue dot is marked. So the rule is to add a square to the top right-hand corner of the square. The next shape in the sequence is made from three squares. We’ve added a square to the top right-hand corner of the pattern that came before. And the rule continues to find the fourth shape in the pattern. The fourth shape has four squares. We added a square to the top right-hand corner of the pattern that came before.

Once we found the rule, we can use it to continue the pattern. The final shape in this pattern has five squares. We added a square to the top right-hand corner of the square in the pattern before to give us the fifth shape in the sequence. So to complete a pattern, the first thing we do is find the rule. And then we can continue the pattern. Let’s try some examples of patterns which use shapes and numbers.

Complete the pattern.

First, we have to find the rule. The pattern begins with one pink square. Next, there are two pink squares, then three. What’s happening to the squares each time? One plus one makes two. Two plus one makes three. The rule of the pattern is to add one pink square each time. We also need to think about where to add the pink square, on top, at the bottom, to the left, to the right. We have to add one square here, to the right each time. So the rule of the pattern is to add one pink square to the right each time. So to complete the pattern, we need to add one square to the right. So we would complete the pattern using four pink squares.

Complete the following pattern: 60, 50, 40, what, and what.

First, we have to find the rule. What happens to the numbers each time? 60, 50, 40, we’re counting back in 10s. That’s the same as saying take away 10. So we’ve found the rule; subtract 10 each time. 60 take away 10 is 50. 50 take away 10 is 40. 40 take away 10 is 30. And 30 take away 10 is 20. The numbers we need to complete the pattern are 30 and 20. 60, 50, 40, 30, 20. We found the rule, which was to take away 10 each time. And then we were able to complete the pattern.

In this video, we’ve learned how to complete or fill the gaps in patterns with numbers and shapes.