Lesson video

Hello there.

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

And here is our learning outcome.

"I can explain that non-unit fractions are made of more than one unit fraction." And here are the key words for today's lesson.

I'm going to say the keywords.

Can you repeat them back? The keywords are non-unit fraction.

Let's take a look at what that means.

So a non-unit fraction has a numerator greater than one, and numerator is the top number in a fraction.

So the numerator is larger than one.

It is a non-unit fraction.

And here is our lesson outline.

So the first part of the lesson, we're going to be looking at what is a non-unit fraction, and in the second part of the lesson, we're going to be identifying non-unit fractions.

Let's get started.

In this lesson you will meet Sofia and Jacob who are going to be helping you with your maths and asking you some tricky questions as well.

A shape is divided into five equal parts.

That's really important.

When we're talking about fractions, the parts have to be equal.

Jacob says, "Each part is one-fifth." This is one-fifth of the shape.

This is one-fifth of the shape.

This is one-fifth of the shape.

One part is shaded, "One-fifth is shaded," says Jacob.

Sofia names the shaded fraction of each shape.

Look at the first shape.

So the shape here, one-third is shaded.

There are three equal parts, one of them is shaded.

Let's take a look at the next shape.

In this shape here, one-quarter is shaded.

There are four equal parts, one of them is shaded.

In this shape here, one-sixth is shaded.

There are six equal parts and one of them is shaded.

A unit fraction has one as a numerator, only one part of each shape is shaded.

So remember the numerator is the top number in a fraction.

So a unit fraction has one as the numerator.

one-third, one-quarter, one-sixth are all unit fractions.

They all have one as a numerator.

"What happens when more than one shaded?" Asked Jacob.

That's what today's lesson's going to be about, Jacob.

A fraction shows us the number of equal parts in a whole.

So in this first shape here, there are five equal parts one of them is shaded.

So one, one-fifth of the shape is shaded.

one-fifth is a unit fraction.

The fraction is made from one of the equal parts.

Look at the next shape.

In this shape here there are five equal parts and two of them are shaded.

Two one-fifths are shaded.

Jacob says, "Two-fifths is a non-unit fraction." The fraction is made for more than one of the equal parts.

A non-unit fraction is any fraction that contains more than one equal part.

So it's a unit fraction, there's just one equal part.

It's a non-unit fraction Af there are more than one equal part.

A shape is divided into five equal parts.

There are five one-fifths.

This is one-fifth, this is one-fifth, and this is also one-fifth.

"I'm going to shade in three of the parts," says Jacob.

So Jacob shade three one-fifths.

Jacob shades three-fifths.

So we can say the Jacob shaded three one-fifths or we can say the Jacob is shaded three-fifths.

Three-fifths of the shape are shaded.

A shape is divided into six equal parts.

So this time there are six equal parts.

There are six one-sixths.

This is one-sixth, this is one-sixths and this is also one-sixths.

"I'm going to shade in three of the parts," says Jacob.

So Jacob shade three one-sixths.

Jacob shade three-sixths.

So we could say the Jacob shaded three one-sixth or we could say that he has shaded three-sixths of the shape, three-sixths of the shape are shaded.

A shape is divided into nine equal parts.

There are nine one-ninths.

Each of the parts is one-ninth because there are nine of them.

This is one-ninth, this is one-ninth and this is one-ninth.

"I'm going to shade in seven of the parts," says Jacob.

So Jacob shades seven one-ninths.

We could also say that Jacob shades seven-ninths.

"Seven-ninths of the shape are shaded," says Sofia.

A shape is divided into eight equal parts.

Here is a shape with eight equal parts.

"I shade five parts," says Sofia.

So Sofia shades by parts.

Sofia Shades five one-eighths.

Or we can say Sofia Shades five-eighths.

Two different ways of saying the same thing.

Now it's your turn to have a think about how you would explain what fraction of a shape is shaded.

A shape is divided into six equal parts.

"I shade four parts," says Sofia.

So Sofia shade four parts of the shape.

Have a think about how you could say a sentence that would explain what fraction of the shape Sofia has shaded.

Could you complete these sentences? Sofia shades how many one-sixths? Sofia shades how many sixths.

Pause the video, see if you can have a go completing both of those sentences.

And welcome back.

Did you manage to complete both? Let's have a look, see if you were right.

So you could have said Sofia four one-sixths of the shape.

I've also have said Sofia shades four-sixths of the shape.

They are both correct.

Both slightly different ways of saying the same thing.

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

Jacob describes this shape.

There are how many equal parts? Well Jacob says there are eight equal parts.

Is that right? Definitely eight.

There are eight equal parts.

How many one-eighths are shaded? If a shape is split into eight equal parts, each part is one-eighth.

How many one-eighths of the shape are shaded? "Three one-eighths are shaded," says Jacob.

How many eighths are shaded? Three-eighths are shaded.

The Jacob's completed those sentences to describe that shape.

Now it's your turn to have a go.

So describe this shape.

There are how many equal parts, how many one-sevenths are shaded, how many sevenths are shaded? Pause the video, see if you can complete all three of those sentences.

And welcome back.

Did you finish off all three? Let's take a look to see if you've got them right.

So here's Jacob to help us.

Jacob says there are seven equal parts.

There was a bit of a clue there wasn't there in the other sentences.

If each part is one-seventh, there must be seven equal parts.

So there are seven equal parts.

Three one-sevenths are shaded.

Three-sevenths are shaded.

Very well done if you completed all three sentences correctly.

And let's move on to task A.

So for part one of task A, you've got to describe each shape.

You've gotta work out how many equal parts there are.

You've gotta work out how many parts are shaded and you've gotta complete two sentences to describe what fraction of the shape is shaded.

So shape A for example, how many equal parts are there? How many one-sixths are shaded.

A bit of a clue there as how many parts there are.

How many sixths are shaded? So you've got those two to complete.

There's C and D as well.

They're very, very similar but different shapes, different number of parts.

And then part two, good to shade more than one part of each shape.

And then you are going to describe the shape.

So it's up to you how you are going to shade the shape.

So again, think about how many equal parts there are, how many parts that you have shaded or fraction of the shape is shaded.

Pause video and have a go at task A.

And welcome back.

How'd you get on? Did you complete all of task A? Did you get onto part two? Very well done.

Let's take a look to see if you've got it all right.

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

So for that first shape A, there are six sequel parts two one-sixths are shaded, two-sixths are shaded.

For shape B, there are eight equal parts six one-eighths are shaded.

Six-eighths are shaded.

So well done if you completed those two correctly.

Let's carry on with part one of task A.

So for C, there are seven equal parts.

So four-sevenths are shaded, and for D there are nine equal parts.

So five-ninths are shaded.

Well done if you've got those correct as well.

Let's move on to part two of task A.

So here are some possible answers.

So you may have answered these in different ways as long as you've described the fraction of the shape that you have shaded.

So you may have done it like this.

For our first shape, there are five equal parts.

Four one-fifths are shaded, four-fifths are shaded.

And for B there are eight equal parts.

And in that example there seven-eighths are shaded.

So well done for having a go at task A and very, very well done if you've got onto to part two of task A.

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

So in part two of the lesson, we are identifying non-unit fractions.

That just means we're trying to work out what they are.

Sofia and Jacob, look at this shape.

"There are 10 equal parts," says Sofia.

So the shape is divided into 10 parts and they're all equal.

They're all the same size.

"Each part is one-tenth of the whole," says Jacob.

Sofia counts up in tenths.

So Sofia is going to be shading different parts of this shape and she's going to be counting up.

See if you can count up with that when you're ready.

So Sofia starts off with one one-tenth, two one-tenths, three one-tenths, four one-tenths, five one-tenths, six one-tenths, seven one-tenths, eight one-tenths, nine one-tenths, 10 one-tenths.

Well, I dunno if you kept up.

Jacob counts up in tenths.

And Jacob's gonna count up very slightly differently.

See if you can spot how it's different.

So here's the shape again.

See if you can count up with Jacob.

So Jacob starts off with, one-tenth, two-tenths, three-tenths, four-tenths, five-tenths, six-tenths, seven-tenths, eight-tenths, nine-tenths, 10 tenths.

Bit tricky to say some of those weren't they.

Let's see how Jacob counted up differently.

He just said five-tenths, six-tenths, seven-tenths, eight-tenths.

Whereas Sofia said six one-tenths, seven one-tenths, eight one-tenths.

They're both correct and a slightly different way of saying the same thing.

Sofia shades some of this shape.

There are 10 equal parts, so we're still looking at the same shape.

"What fraction of the shape is shaded?" Asks Jacob.

Hmm, what do you think? What fraction of that shape is shaded? Each part is one-tenth, what fraction is shaded? Sofia says, "Four one-tenths are shaded." Jacob says, "Four-tenths of the shape is shaded.

It doesn't matter which parts are shaded." You may have noticed that when Sofia shaded some of that shape, she didn't just shade four parts altogether.

Shaded two, then she left a bit of a gap, then she shaded another two.

But it doesn't make any difference.

Sofia has still shaded four-tenths of the shape.

She's still shaded four parts out of the 10.

Jacob shaded some parts of each shape.

So here are three shapes and Jacob has shaded some parts of each of them.

Sofia says, "Each shape has 10 equal parts." "What fraction of each shape have I shaded?" Ask Jacob.

Well, if there are 10 equal parts, each part will be one-tenth.

And again, it doesn't matter if the parts aren't all touching each other, doesn't matter which parts he shaded, as long as he shaded some of the parts, a fraction of that shape has been shaded.

Let's look at that first shape.

Two one-tenths are shaded or could also say two-tenths are shaded.

Let's take a look at that second shape, so how many parts are shaded? Eight one-tenths are shaded.

We could also say eight-tenths are shaded.

And for that last shape, how many parts are shaded? And there are 10 equal parts of each of them is going to be a tenth, six one-tenths are shaded.

Or we could also say, of course, six-tenths are shaded.

Here's one for you to look at on your own.

What fraction of the shape is shaded? What do you think? And to help you out, Sofia says, "How many parts are there in total?" Jacob says, "How many parts are shaded?" Pause the video, see if you can work out what fraction of that shape is shaded.

And welcome back.

Did you manage to find the out the answer? Did you find two different ways of saying it? Let's take a look.

So you may have said three one-tenths.

Each part is one-tenth, there were three of them shaded in.

So three one-tenths are shaded.

Or you may have also said three-tenths are shaded.

Very well done if you said either of them, excellent work if you said both.

We can also find a fraction of a set of objects.

We've only looked at shapes so far, but you can also have a fraction of a set of objects.

Here are some stars.

Sofia says, "There are 10 stars in total.

Each star represents one-tenth of the set." Jacob says, "How many stars are gold?" What fraction of the stars are gold? So think about how many stars there are in total.

How many stars are gold? About six stars are gold.

So six one-tenths of the stars are gold, or six-tenths of the stars are gold.

Some pandas are wearing hats.

There are some pandas, some they're called hats on the head.

"There are nine pandas in total," says Sofia.

"Each panda represents one-ninth of the set." So each panda is one-ninth.

"Four of the pandas are wearing hats," says Jacob.

What fraction of the pandas are wearing hats? So think about how many pandas there are altogether.

Think about how many pandas are wearing hats.

Think about what fraction each panda represents.

Let's take a look.

So we could say four one-ninths.

There are nine pandas.

Each panda represents one-ninth of the set.

Four of them are wearing hats.

So four one-ninths of the pandas are wearing hats.

Or we could also say four-ninths.

Here's one for you to try on your own.

Here are some frogs.

How many frogs are there all together? How many frogs are sat on the log? What fraction of the frogs are sat on the log? See if you can find two different ways of describing the fraction of frogs that are sat on the log.

Pause the video, see if you can work out the answers.

And welcome back.

Did you manage to find two different ways of saying it? Let's take a look to see if you were right.

So how many frogs are there all together? Well, there are eight frogs.

How many frogs are sat on the log? There are three on the log.

So each frog represents one-eighth of the whole, three of them are sat on the log.

So three one-eighths are on the log.

Or you could also say three-eighths of the frogs are on the log.

Very well done if you found one of those ways.

Excellent work if you found both, that's brilliant.

Let's move on to task B.

So what fraction of each shape is shaded? So go look at the number of parts.

You'll work out how many parts are shaded in.

For those first three shapes, they're all divided into technical parts.

So each part is one tenth of the whole.

So see if you can work out how many parts are shaded in.

And here's part two of task B.

So what fraction of each group of pandas are wearing hats? So you've got to work out how many pandas there are altogether and then work out how many pandas are wearing hats.

And you should be able to work out the fraction from that.

In that first one, we've got six pandas, we've got four of them are wearing hats.

So we, I'll be talking about fifths, sixth, sevenths, eighths or ninths.

If there are six pandas what do you think? What fraction does each panda represent of the group of pandas? And think about that.

Let's move on to part three of task B.

So shade the correct fraction of each shape.

Find different ways to represent the fraction.

So for a, for example, we've got the five-sevenths.

So, you've got to shade in five sevenths of each shape.

There must be seven parts, wasn't there? So how many parts have you got to shade in? So think about different ways you can shade those fractions.

So pause the video and have a go at task B.

And welcome back.

How did you get on? Did you get onto part three of task B? Let's take a look, see how you got on.

So what are the answers for part one of task B? So what fraction of each shape are shaded? Well for A, four one-tenths or four-tenths of the shape were shaded.

For B six one-tenths or six-tenths of the shape are shaded.

And for C, seven one-tenths or seven-tenths of the shape are shaded.

So well done if you got those correct.

Let's move on to part two.

So for part two, you had to work out what fraction of each group of pandas were wearing hats.

So A, there were six pandas altogether.

So each panda represents one-sixth of the whole.

Four of them were wearing hats.

So four one-sixth or four six of the pandas were wearing hats.

For B five one-eighths or five eighths of the pandas wearing hats.

And for C, six one-ninths or six-ninths of the pandas were wearing hats.

Very well done if you've got those correct.

Let's move on to part three.

So here are some possible answers.

It doesn't matter if your answers are different to these as long as you've shaded in the correct fraction of each shape.

So for A, you had to shade in five-sevenths.

So it doesn't matter which five parts you shade in.

As long as you shaded in five, you have shaded in five-sevenths of the shape.

For B, you had to shade in six-ninths.

So in each of those examples, six parts out of nine are shaded.

And for C, you had to shade in five-tenths.

So each part represents one-tenth.

You had to shade in five of them.

And again, it doesn't matter how you shaded them in as long as you shaded in five of them.

So very well done if you've got some to part three and you managed to complete part three of task B and excellent work in today's lesson.

And hopefully you are feeling like you understand what a one-unit fraction is and you can identify them and work out different non-unit fractions by using different representations.

Let's move on to our lesson summary.

So a one-unit fraction is made from more than one equal part.

We can say there are six equal parts, two of them are shaded, non-unit fractions can be described using five one-sixths and five-sixths.

The whole could be a shape, a line, or a group of objects.