In this video, we’re going to learn how to identify squares, no matter what size they are, whether they’re different colors, or which way around we position them. This shape is a square. Let’s trace around the outside and see what we notice. How many sides does a square have? We can count one, two, three, four sides. We could also show this by placing a counter on each side. One, two, three, four. So the first thing we can say about squares is that they have four straight sides.
What do you notice about how long each side is compared to all the others? Well, if we look closely, we can see that each of the four sides is exactly the same length. And so our second fact about squares is that all of the sides are equal. They’re all the same length. Now, what can we tell about the corners of a square? Another mathematical word that we sometimes use to describe a corner is a vertex. And if we’ve got more than one of them, another word for corners is vertices. Let’s count the vertices on our square. One, two, three, four. And if we look at the shape of each corner, we could describe them as square corners because we can draw little squares in them.
Now, we’ve got a little checklist for identifying squares. They must have four straight sides. Each of the sides needs to be the same length or equal. And they must also have four square corners or vertices. So a shape may be a different size, a different color, or even if it’s being turned into a new position. As long as the shape has four straight sides, they’re all equal, and it has four square corners, we know it’s a square.
Just because we’ve changed the color or made it a bit smaller or turned it into a new position doesn’t mean it’s not a square anymore. Think about what happens if you sit in a new position in your classroom. Of course, you’ve still got the same name. Well, it’s the same with shapes. We can turn them, put them in a new position, but they’re still the same. Now it’s time to practice what we’ve learned. Let’s try some questions where we have to identify squares.
Which of these is a square?
In this question, we’re shown three different 2D shapes. We need to identify or spot which one is a square. To help us do this, let’s remind ourselves what makes a square a square. The first thing we know about squares is that they have four straight sides. Do any of these shapes have four straight sides? Our first shape does have four sides. It could be a square. And the same is true of our second shape. Perhaps this is the square. But if we look at our final shape, we can see that this only has three straight sides. This is a triangle. We know the answer is one of the first two shapes, and let’s forget about the triangle.
What else do we know about squares? With a square, all of its sides are the same length. They’re all equal. If we look at our first shape. We can see that these two sides are a lot longer than these two sides. The size of this shape are different lengths. This isn’t a square. It’s a rectangle. It looks like we found out which of our shapes is a square. Are all sides of this shape the same length? Yes, they are. Out of our three shapes, the shape that’s a square is the one with four straight sides whose sides are all equal.
If I turn this shape so it stands on its corner, will it still be a square?
In this problem, we can see a picture of a square. We know it’s a square because it has four straight sides. All of the sides are the same length or equal. And it has four square corners. These are the things that help to tell us that it’s a square. Now, the question asks us, if we turn this shape so that it stands on its corner, will it still be a square? And this is a video, and in a moment, we are going to turn this shape so it stands on its corner. But imagine you weren’t watching a video. How could we find out the answer? All we really need to do is to turn our heads, look at the shape in a different position as if it was standing on its corner. Why don’t you do that now?
Here’s what our square looks like if we turn it so it’s standing on its corner. It still has four straight sides. Each of the sides are exactly the same length. And it still has four square corners. In fact, the only thing that’s changed about this shape is that it’s turned slightly. And we know that if we turn a shape slightly, it’s still the same shape. If we turn this shape so it stands on its corner, will it still be a square? Yes, it will.
How many squares are in this picture?
Here’s a picture of a dog, and it’s made out of lots of different shapes. Our job is to count the squares because we’re asked how many squares are in the picture? What do we know about squares that can help us spot them? Well, firstly, we know that squares have got straight sides. Our dog’s eye and nose are made of a shape without any straight sides. It’s a circle. So we can’t count these shapes.
We also know that squares have got four sides. Triangles have three straight sides, so we can’t include these. If we look carefully at the picture, we can see that all of the other shapes have four straight sides, but they’re not all squares. All of the sides of a square are equal. They’re all the same length. And if we look at our picture, we can only see two shapes like this. This is a square, and also this is a square. All the other shapes with four sides are rectangles. The number of squares in the picture is two.
So what have we learned in this video? We’ve learned how to identify squares, no matter what size they are, what color they are, or what position we put them in.