### 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.