Lesson video

Hello there.

My name is Mr. Goldie, and welcome to today's math lesson.

And here is the learning outcome.

I can identify non-unit fractions, and here are the keywords for today's lesson.

I'm going to say each of the keywords.

Can you repeat them back? So the first keywords are division bar.

The next keyword is denominator, and the next keyword is numerator.

Let's take a look at what those words mean.

The division bar is the horizontal line separating the two values in a fraction.

A denominator is the bottom number written in a fraction.

It shows how many parts the whole has been divided into a numerator is the top number written in a fraction.

It shows how many parts we have.

Here's our lesson outline.

So the first part of the lesson is how to write non-unit fractions.

And the second part of the lesson is using non-unit fractions.

Let's get started.

In this lesson, you will meet Sofia and Jacob who will be helping you with your maths and asking you to answer some difficult questions as well.

Sofia and Jacob work out the fraction of the shape that is shaded.

"The whole is divided into equal parts," says Sofia.

I'm going to draw a division bar first.

So to show that the whole is divided into equal parts, Jacob draws a division bar.

"There are six equal parts in the whole.

"Each part is 1/6," says Sofia.

"Six is the denominator," says Jacob.

So the denominator is the bottom number in a fraction.

And that tells us the number of parts the whole has been divided into.

There are six equal parts.

"Five of the equal parts are shaded," says Sofia.

"So five is the numerator," says Jacob.

So Jacob writes five as the numerator.

There are five parts that are shaded.

"5/6 of the shape are shaded," says Jacob.

A whole is divided into equal parts.

"There are 10 equal parts," says Sofia.

"Each part is 1/10." There are 10 equal parts, so each part represents one 10th of the whole.

The denominator is 10.

So we've already drawn of a division bar already, and the denominator is ten.

Remember the denominator is the bottom number in a fraction.

That tells us how many parts there are in total.

"Seven parts are shaded," says Sofia, so the numerator is seven.

The numerator is the top number in a fraction, and that tells us how many parts that we have.

The shape is divided into ten equal parts, and seven of them are shaded.

"7/10 are shaded," says Sofia, Sofia and Jacob are shading some shapes.

"The whole is divided into parts," says Sofia.

To show this, Sofia draws a division bar.

There are five equal parts.

Each part is 1/5 of the whole.

So the denominator is five because there are five equal parts.

Four of the parts are shaded.

So the numerator is four.

That's how many parts are shaded.

"4/5 are shaded," says Sofia.

And that's how we write four fifths.

Let's look at a different shape.

So again, Jacob says, "The whole is divided into parts." Let's draw a division part, show it's been divided into parts.

There are seven equal parts.

Each part is one seventh of the whole, So there are seven parts altogether, so that seven is our denominator.

Five of the parts are shaded.

So five is the numerator.

5/7 are shaded.

The shape is divided into seven parts and five of them are shaded.

So Sofia and Jacob are shading some more shapes.

The whole is divided into parts.

So again, let's draw a division bar to show that the shape has been divided into parts.

How many equal parts are there altogether? There are six equal parts.

So each part is 1/6 of the whole.

Four of the parts are shaded.

So the numerator is four.

4/6 of the shape are shaded.

Here's a different shape.

And again, Jacob says the whole is divided into parts.

Let's use a division bar to show that the whole has been divided into parts.

Wonder how many parts there are.

Jacob says, "There are eight equal parts.

"Each part is 1/8 of the whole." So our denominator is eight.

Six of the parts are shaded.

So the numerator is six.

There are eight parts altogether, six parts are shaded.

6/8 of the whole are shaded.

6/8 of the shape are shaded.

What fraction of the shape is shaded? So have a good look at that shape.

Think about how many parts there are altogether.

Think about how many parts are shaded.

How would you write that fraction using a division bar, a denominator and a numerator.

What would the fraction look like? Pause the video.

See if you can have a go writing that fraction.

Welcome back.

Let's take a look, see if you've got the correct fraction.

So Sofia says the whole is divided into parts.

So we use a division bar to show that this is a fraction.

There are seven equal parts.

Each part is one seventh.

So seven is the denominator.

That's how many parts there are altogether.

Four of the parts are shaded.

So four is the numerator.

That's the top number in the fraction.

4/7 are shaded.

Very well done if you've got that as the answer, and well done as well if you managed to write that as a fraction using a denominator, a numerator, and a division bar as well.

Well done.

Sofia shades some parts of different shapes.

"I'm asking Jacob to match each fraction "to the correct shape," says Sofia.

So there are three fractions, and here are three different shapes.

Jacob's going to see if he can match the fraction to the correct shape.

So for that first one, Jacob says "4/9 are shaded." We've got that shape, there are nine parts, and four of them are shaded.

Nine equal parts, four of them are shaded.

4/9 of that shape are shaded.

Let's have a look at the next one.

So we've got 4/5.

4/5 are shaded.

There are five equal parts.

Four of them are shaded, and that means this one here must be 5/9.

There are nine equal parts, five of them are shaded.

Well done for matching those up correctly there, Jacob.

Very good.

Sofia shades some parts of different shapes.

Match each fraction to the correct shape.

So here are three fractions, and here are three shapes.

See if you can match each fraction to the correct shape.

Think about the number of parts there are altogether.

Think about how many are shaded.

Pause the video and see if you can match up those three fractions and those three shapes.

And welcome back.

How did you get on? Did you manage to match 'em up correctly? Let's take a look, see whether you were right.

So the first fraction is 3/5.

There are five parts, three of them are shaded.

This would be this shape here in the middle.

There are five parts, three of them are shaded.

So Jacob says 3/5 are shaded.

Take a look at the next one.

So we've got 5/8.

This one here, 5/8 of the shape is shaded.

There are eight equal parts.

Five of them are shaded.

Then finally this one here is 3/8.

There are eight equal parts, three of them are shaded.

So 3/8 of the shape are shaded.

Very well done if you matched those up correctly.

Let's move on to task A.

So in task A, you're going to cut out the fractions and the shapes.

You're going to turn them all over.

You're going to take turns choosing two, say the fraction name and then describe the shaded part of the shape.

So hopefully you'll end up with a fraction and a shape.

You might end up with two fractions.

You might end up with two shapes, but you're looking for a fraction and a shape.

Do they match I wonder.

So here's Jacob's effort.

So Jacob turns over this one, and he says 6/7 are shaded.

So in that shape there are seven equal parts.

Six of them are shaded.

So 6/7 are shaded.

Then he turns over this fraction here.

Does that match? This is 5/6.

They don't match, so I'll turn them back over.

So you're looking for a shape and a fraction that match together.

And if the fraction and the shape match, you get to keep them.

So here are the shapes and fractions for matching.

You're gonna cut those up and turn them all over.

And then choose two and see if you can find a fraction and a shape that match together.

Remember if you match them together, you can keep them.

And here's part two of task A.

Sofia and Jacob take it in turns to describe a shape.

Sofia says the fraction that one of the shapes represents.

Jacob writes down the fraction giving the denominator and the numerator.

So Sofia chooses this shape here.

So she says 5/6 because 5/6 of the shape is shaded.

Jacob thinks I have to write down 5/6.

So he has to write that down as a fraction, giving the denominator and the numerator.

So Jacob would write down 5/6 like this.

So that's how you do part two of task A.

So pause the video, have a go at task A, have a go at matching together those fractions and those shapes and then have a go trying to describe it to a partner afterwards.

So pause the video, have a go at task A.

And welcome back.

I hope you got on really well with that, and I hope you enjoyed that game.

Let's take a look, see whether you matched them up correctly.

So here are the correct matches.

This is how you should have matched them up.

So that first one, 3/4.

We've got a circle divided into four equal parts.

Three of them are shaded, so there are the correct matches that you should have found.

And here is some possible answers for part two of task A.

So Sofia said 5/6.

Jacob writes, Jacob would need to write down 5/6 as a fraction with the denominator and numerator with the division bar separating the two.

Jacob says 7/9.

So Sofia writes down 7/9 as a fraction.

Seven as the numerator, and nine as the denominator.

So well done if you got onto part two of task A and had a go at trying to write down some fractions that your partner described to you.

Very good.

And let's move on to the second part of the lesson.

So the second part of the lesson is called using non-unit fractions.

Sofia shades this shape using two colours.

What fraction is yellow? So what fraction of the shape is yellow? What fraction of the shape is blue? There are five equal parts in total.

So the denominator is five.

Each part of the shape represents 1/5 of the whole.

Three parts are yellow, "3/5 are yellow," says Sofia.

So the fraction that is yellow is 3/5.

Two parts are blue.

So 2/5 are blue.

The 2/5 of the shape are blue.

Sofia and Jacob each shade part of the shape.

"I shaded some of the shape yellow," says Sofia.

"I shaded the rest of the shape pink," says Jacob.

What fraction is yellow? Now how many parts are there all together? How many parts is the shape divided into? And how many of them are yellow? Let's take a look.

5/8, so the whole is divided into eight equal parts.

There are eight equal parts in that shape, and Sofia has shaded five of them.

So 5/8 of the shape is yellow.

What fraction of the shape is pink? 3/8, the whole is divided into eight equal parts, and Jacob has shaded three of them.

So Jacob has shaded 3/8 of the shape pink.

What fraction of frogs are on a lily pad? How many frogs are there altogether? How many frogs are on a lily pad? Jacob says 5/7 are on the lily pad.

There are seven frogs altogether, and five of those frogs are on a lily pad.

The whole is divided into seven equal parts, and five of them are on a lily pad.

What fraction of frogs are not on a lily pad? 2/7 are not on a lily pad.

Again the whole is still seven.

There are seven frogs.

There are seven equal parts to the whole.

2/7 are not on a lily pad.

What fraction of pandas are wearing hats? So again, look carefully at the whole.

How many pandas are there altogether? How many of the pandas are wearing hats? Jacob says 7/10 are wearing hats.

There are 10 pandas altogether.

So the denominator is 10.

Seven of those pandas are wearing hats.

So the numerator is seven.

Seven pandas out of 10 are wearing hats.

7/10 are wearing hats.

What fraction are not wearing hats? There is still out of 10.

The denominator is still going to be 10.

How many are not wearing hats? 3/10 are not wearing hats 'cause 7/10 of the pandas are wearing hats.

3/10 of the pandas are not wearing hats.

Here's one to try on your own.

What fraction of stars is yellow? Here are some stars.

And what fraction of stars is purple? So think about what the denominator would be.

Think about what the numerator would be for each fraction.

Pause the video, see if you can work out what fraction of the stars is yellow and what fraction of the stars is purple.

And welcome back.

How did you get on? Did you manage to answer both those questions? Let's take a look to see whether you were right.

So how many stars are there all together? Well there are nine stars aren't there? So the denominator is going to be nine for both fractions.

How many of them are yellow? Jacob says 5/9 are yellow.

So each star represents 1/9 of the whole.

Five of those stars, five 1/9 are yellow.

5/9 are yellow.

4/9 are purple.

The whole is still nine, the denominator is still nine, four of them are purple.

4/9 are purple.

Very well done if you've got both of those correct.

Jacob shades this shape.

What fraction of the shape is yellow, pink or blue? Let's take a look.

So what fraction is yellow first of all? How many equal parts are there to the shape? Well there are six equal parts, aren't there? How many parts are yellow? Two.

So 2/6 of the shape is yellow.

There are six equal parts.

Two of them are yellow.

What fraction is pink? Well, the denominator is still going to be the same.

The whole is still the same.

There's still the same number of parts.

How many parts are pink? 1/6, one part out of six is pink.

And what fraction is blue? Denominator is still going to be the same.

So it's still out of six, so still six parts.

What fraction is blue? 3/6, three out of six.

3/6 are blue.

Jacob shades this shape.

"What fraction of the shape is yellow, pink or blue?" asks Jacob.

So have a good look at that shape.

Think about what the denominator is going to be.

Think about how many parts are altogether and see if you can work out how many parts are yellow, how many parts are pink, how many parts are blue? And can you write each of those as a fraction? What fraction is yellow? What fraction is pink? What fraction is blue? Pause the video, and see if you can answer all three of those questions.

And welcome back.

Let's take a look to see how you got on.

So first of all, what fraction is yellow? Well, there are eight equal parts, so the denominator is going to be eight.

How many parts are yellow? Four.

4/8 of the shape is yellow.

What fraction is pink? Denominator's still going to be eight.

There are 3/8 that are pink.

And then finally, what fraction of the shape is blue? The denominator's still eight.

It's still out of eight.

There's still eight parts.

One part is blue.

So 1/8 of the shape is blue.

Very well done if you got all three of those correct.

Let's move on to task B.

So the first part of task B, you're going to write each fraction.

And there are two questions for each part.

So for A, what fraction of pandas is wearing hats? What fraction is not wearing hats? So think about how many pandas there are altogether.

And then count up how many pandas are wearing hats and how many are not wearing hats.

B, what fraction of stars is shaded? What fraction is not shaded? Then the question C, what fraction of frogs is on the lily pad? What fraction of frogs is not on the lily pad? And for D what fraction of ladybirds has only two spots? What fraction does not have only two spots.

There's part one of task B.

Part two of task B, find different ways to shade these shapes.

Use two or three colours and then use fractions to describe how you coloured each shape.

So it's up to you how you're going to do those.

And you can use two or three colours.

For the first shape there are eight equal parts.

How could you colour them in two or three different colours? Pause the video and have a go at task B.

And welcome back.

And let's take a look at how you got on.

So here are the answers for part one of task B.

So 7/9 of the pandas were wearing hats.

2/9 of the pandas were not wearing hats.

So in both those fractions, the denominator was nine 'cause there were nine pandas in total.

For B, 5/8 of the stars are shaded.

3/8 of the stars are not shaded.

And again the denominator for both of those is eight 'cause there are eight stars altogether.

For C, 4/7 of the frogs are on the lily pad.

3/7 of the frogs are not on the lily pad.

And then for D, 5/6 of the ladybirds only have two spots.

What faction does not have only two spots? 1/6, 'cause one of the ladybirds does not have just two spots on its back.

It's got four spots.

So well done if you've got those right.

And then here are some possible answers for part two of task B.

And you may have done this in lots and lots of different ways using lots and lots of different colours.

So for that first fraction we could have had 6/8 is yellow and 2/8 is blue.

All together there are eight 8/8.

So hopefully you got onto part two of task B, and you managed to complete that as well.

And very good work today.

And hopefully you're feeling much more confident about using non-unit fractions and about writing them as fractions as well using the division bar and the denominator and the numerator.

Excellent work today.

Very well done.

And finally, let's move on to our lesson summary.

So a non-unit fraction is any fraction where the numerator is greater than one.

We can say the whole is divided into some equal parts, and I have some of them.

Count the total number of equal parts that make the whole.

This gives you the denominator, which is the bottom number in a fraction.

Count the number of parts you have.

This gives you the numerator, which is the top number in a fraction.