Video: Equal Parts with Different Shapes

In this video, we will learn how to investigate halves, thirds, and quarters of rectangles.

04:11

Video Transcript

Equal Parts with Different Shapes

In this video, we will learn how to investigate halves, thirds, and quarters of different shapes. This circle has been divided into two equal parts. We call each part a half. This square has also been divided into two equal parts or halves and so has this rectangle. Each of these shapes is half of another shape. Half a circle, half a square, and half a rectangle look very different. But they’re all halves.

If we want to divide the square into two equal parts or two halves, we can do this in different ways. We could divide them using a horizontal line or a line that goes across. We could divide the square into two equal parts using a vertical line or a line that goes up and down. We could also divide the square into two equal parts using a diagonal line or a line that goes from opposite corner to opposite corner. Each of the parts are equal in size.

This is a rectangle. It’s been divided into three equal parts. Each part is equal in size. Each part is called a third, one divided into three equal parts. If we take a shape and we divide it into four equal parts, we call each part a quarter. Let’s look at some example questions where we’re asked to identify halves, thirds, or quarters of different shapes.

What fraction is shaded? We can see this circle has been divided into three equal parts. And one out of those three parts is shaded. One third of the circle is shaded.

What fraction is shaded? This square has been divided into four equal parts or quarters. And one out of the four quarters are shaded. One quarter of the square is shaded.

Pick the rectangle that has one quarter shaded. This rectangle has been divided into four equal parts. And one of those parts or one quarter is shaded blue. This is the rectangle that has one quarter shaded. Pick another way to shade one quarter of the rectangle. Each of these rectangles has been divided into four parts. But these parts are not equal. The parts of different sizes. These parts are not equal either. They’re different sizes.

Both of these rectangles have been divided into four equal parts or quarters. Which one has one quarter shaded? This rectangle has one quarter shaded. This rectangle has one quarter shaded. And this is another way to shade one quarter of the rectangle.

In this video, we’ve learnt how to find halves, thirds, and quarters of different shapes.

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