# Lesson Video: Visual Patterns Mathematics

In this video, we will learn how to identify different types of shape patterns visually and complete them.

08:22

### Video Transcript

Visual Patterns

In this video, we’re going to learn how to identify different types of shape patterns visually and complete them. What is a pattern? Let’s think about this question for a minute. Do you know what a pattern is? In maths, a pattern is a sequence. And a pattern can include numbers, symbols, shapes, or figures, which are carefully arranged according to a rule or a system.

In this video, we’re going to be learning about different types of visual patterns. The word “visual” just means that these are patterns we have to look at very carefully and work out what’s changed. In other words, we have to look closely to work out the rule or the system. In this video, we’re going to learn about different types of visual pattern.

This example is a repeating pattern. We could even call it a repeating shape pattern because it’s made up of two different shapes. When we see a pattern like this one, the first thing we have to do is ask ourselves, what do you notice? We can call the first part of the pattern the first term. This just means a section of the pattern. What do you notice about the first term in this pattern? We’ve got an orange circle on top and a pink square on the bottom. Let’s look at the second term in the pattern. What has changed? Have you worked it out?

Now, the pink square is on top and the orange circle is on the bottom. The position of the shapes has changed. We started off with a square on the bottom. Now the square’s on top and the circle which was on top is now on the bottom. It’s like we’ve turned these shapes upside down. And if we look closely at the third term or the third part of the pattern, we can see the position of the shapes has changed again. The circle’s back on top, and the square is at the bottom. What comes next in this pattern?

Let’s recap what we noticed: circle top, square bottom, square top, circle bottom. Now we’re back to the beginning again. We know this is a repeating pattern. So we’ve got a circle on top and a square on the bottom. So the next term or the next part in the sequence would look like this. The pattern is repeating. What do you notice about this pattern? What’s changing?

The first shape or figure in the pattern is a circle. And we can see it’s being divided into four equal parts or quarters. One-quarter of the first circle has been shaded blue. The next shape or the next figure in our pattern is another circle. What’s changed? Two of the quarters in this circle have been shaded blue. So the answer to the question “What has changed?” is the number of shaded parts. We’re shading one more part each time.

Let’s look at the third circle. Does it follow the rule of our pattern, which is to shade or color one more part or one more quarter each time? So our third circle has three parts shaded: one part shaded, two parts shaded, three parts shaded. Now that we’ve identified the rule of the pattern, we can complete it. What comes next? It will be a circle with four parts shaded.

What comes next?

We’ve been given a pattern made up of three different squares. To help us complete the pattern, first, we need to look closely. What do you notice about this pattern? Well, the first square has been divided into four equal parts. And all four parts have been shaded gray. If we look at the second square in the sequence, what’s changed? Well, we’ve still got a square which has been divided into four equal parts. But this time only three parts have been shaded gray. If we look at the third square in the sequence, we can see that this square only has two parts shaded gray. So it looks like the number of shaded parts is decreasing.

We can think of the shaded parts as triangles. The first square has four shaded triangles. Then we’ve got three, then two. So the next square in the sequence should have one shaded part or one triangle shaded.

Which of our shaded triangles should we delete? Let’s look more closely. This was our first square, and this is the first triangle which was erased or not shaded, on the left-hand side. This was the second triangle to be erased or not shaded. Which triangle should we delete next? It will be this one. This is the square that comes next. We looked closely at the pattern to see what we noticed, we worked out what changed each time, and we completed the pattern using this square.

What comes next?

What do you notice about this pattern? We’ve got a sequence of circles, and each circle has a different shape inside. The first circle has a dot in the center. The second circle has a cross inside, which has divided the circle into four-quarters. And the third circle also has a cross inside, dividing the circle into four-quarters. But this time the lines have been drawn diagonally instead of straight up and down or straight across. Then we’re back to a circle with a dot in the center.

This pattern has a repeating part. We could call it a repeating pattern. The first three shapes are repeated. We start with a circle with a dot at the center. What comes next? The next figure in the sequence would be a circle with a cross like this one. This is the circle which comes next. We looked closely at the pattern to see what we could notice, and we noticed it was a repeating pattern. Once we worked out the rule, we were able to find the next shape in the sequence. This is the circle which comes next.

What have we learned in this video? We’ve learned how to identify different types of shape patterns visually and complete them.