# Lesson video

In progress...

I've had these juggling balls since I was in year three.

And I've decided after having them for so many years and not learning to juggle, I'm going to put them to good use, maybe five or 10 minutes every day or little bit of practise each and every night building up my skills.

I hope over time.

I'm going to put these down because it's just not safe with my computer so close by.

I wonder if you've got any, any hidden talents or talents you're yet to discover or put to the test like me with my juggling, perhaps like I've suggested a little bit of practise every day will help build up that skill over time.

Let's think about maths, check please that you are in a quiet space, free of distractions so that you can give me your full attention for our lesson.

If you're not, press pause, go and get yourself sorted, then come back when you're ready for your learning.

In this lesson we are recognising and writing decimal equivalents of any number of hundredths.

So our learning is moving forwards from working with decimal tenths to now looking at decimal hundredths.

So let's start off with some counting activities in both decimals and fractions before we also look at counting in hundredths, representing hundredths, and we'll finish up with your independent task.

The things that you'll need, you know what to do, press pause, collect your pen or pencil, your paper, your book, a ruler If you have one, come back when you are ready to go.

Let's start off with some counting then.

So look at the number line, look at the markers that are there, zero and one, we're going to count in fractions.

The space between zero and one has been divided into, you've got it, 10 equal parts.

So we're going to count in tenths.

Are you ready? Off you go.

Four tenths, five tenths, keep going, eight tenths.

What did you? 10 tenths or one? Good, they're equivalent.

The space between zero and one has been divided into five equal parts.

One is 10 tenths, 10 tenths divided into five equal parts.

That's two tenths for each part.

Two tenths, another two tenths, another two tenths.

Can you count in 0.

2 in 0.

2 multiples of 0.

2.

You ready? Let's do it together.

One, two, three, 0.

2, 0.

4, 0.

6, 0.

8, 1, 1.

2, 1.

4, 1.

6, 1.

8, 2.

Well done, how about this one? The space between zero and one has been divided into two equal parts.

One is 10 tenths, 10 tenths divided into two equal parts, five tenths.

Good, each equal part represents five tenths.

Can you count one, two, three.

Five tenths, one, one and five tenths, two, two and five tenths, three, three and five tenths, four, four and five tenths, five.

Good, good counting start.

Let's have a look at some number lines and really think about that space between the numbers and what the divisions are worth.

Zero and 10 divided into 10 equal parts, Each equal part represents one, Each division represents one.

Say the sentence, one, two, three.

Good one.

Let's do the sentence.

The length has been divided into 10 equal parts.

Good, one tenth.

Last one.

Oh, the space has been divided into 10 equal parts.

What is each equal part worth? This is going to be the focus of this lesson.

Each division represents one hundredth.

One tenth has been divided into 10 equal parts.

Each equal part represents one hundredth and we're going to look at why that is.

Here we go then, the length has been divided into 10 equal parts, each equal part represents one hundredth.

some counting, count as you see the fractions.

Good, keep going.

Four hundredths, five hundredths, eight hundredths, nine hundredths, Oh, 10 hundredths, 0.

1, one tenth.

There's something to look at there.

10 hundredths, 0.

1, one tenth.

Before we look at that, can you count again but in decimals, decimal hundredths, ready? Your turn, my turn.

Let's alternate.

0.

02, 0.

04, 0.

06, 0.

08, 0.

1.

Let's explore that connection between 10 hundredths, one tenth and zero point one.

10 hundredths in our place value grid.

How would we write 10 hundredths? Quickly write it down in front of you on your paper.

Compare it to this.

Are you ready? Zero point 10.

Is that how yours looks? No, we know that in each place value column we can only ever have one digit.

Once we've reached nine of something, when we have more than nine of that thing, of hundredths or tenths or ones, we have to regroup to the left.

10 hundredths, 0.

10.

Ten hundredths is equal to 0.

1, is equal to one tenth.

We don't need that extra zero in the hundredths place.

0.

1, 10 hundredths, is equal to 0.

1, one tenth.

And we can have a look at that through our flats and sticks.

We know this flat represents, you tell me, one, how many tenths does it represent? 10 tenths.

We know that one stick is one tenth because 10 sticks make one flat, 10 tenths make one, one stick is one tenth or 0.

1.

Now we talked about dividing one tenth into 10 equal parts.

If we do that and we have one of them, one of those 10 equal parts, let me use my, oops, dropped my mouse, Let me use my laser.

One of these cubes, the smaller cubes, comes from here.

This is one tenth divided into 10 equal parts.

Each equal part is one hundredth, one hundredth of our flat, it's one tenth of our tenth, but it's one hundredth of our whole, that's why we call this one hundredth.

And we can represent that as 0.

01.

This little image, bottom left, will be on some of the slides in the lesson to help keep our thinking around the difference between the flat, the stick, and the smaller cube that's representing the hundredths.

Okay, one flat represents one.

Wow, one flat is equal to 10 tenths.

Notice, one flat can be regrouped, can be exchanged for 10 tenths.

10 tenths can be regrouped as one flat, one flat can be exchanged for 10 tenths.

One of those tenths can be exchanged for 10 hundredths.

10 hundredths, watch, can be regrouped as one tenth, 10 hundredths is equal to one tenth.

10 hundredths is equal to 0.

1.

Let's use that learning now, what fraction or decimal of one is represented by these sticks? Let me give you a second.

What did you get? Good, eight tenths or as a decimal? 0.

8, good calling out.

Tell me on three the fraction one, two, three.

Good, this represents four tenths of one, four tenths of one of the flats.

And as a decimal? Good, 0.

4.

Tell me the fraction.

Good, eight hundredths.

And as a decimal? Oh, no, not 0.

0.

08, eight hundredths, good.

4.

I've made the same mistake, it is 0.

04.

Well done everyone.

Now, I know my face is in the way, but I'm going to move it shortly so that you can pause and have a go at this task.

You've got some fractions, decimals, and images to match up.

Press pause, when my face disappears, press pause, Have a go at this task, come back when you're ready to take a look at it.

Are you ready? Press pause, Now.

How did you get on? Are you ready to take a look? Here we go.

So, first of all, three tenths and 0.

3.

Give me a thumbs up.

Good, next, three hundredths and 0.

03.

So important, the zero here.

So important because this image is representing three hundredths, not three tenths.

Next, and again look for the important zero in the tenths place in this last one, in this most recent one, eight hundredths, not eight tenths.

Next, and if I move my face, so you ready, let's pop myself here for the last one.

Good so give me a thumbs up if you are pleased with how you got on there, which doesn't mean that you've got them all right.

You can be pleased if you've made a mistake and you've improved from that mistake as well.

Don't forget.

Okay, let's put my face back to the side and let's have a look at a few more drawings and how we can represent those as decimals or fractions of one, of one flat.

So this first one, what do you think? Say what you can see, two sticks and five small cubes.

The sticks are tenths, that's like 10, 20, 25 hundredths, written as this? No, written as this, two tenths and five hundredths, 25 hundredths, zero point, you say it, two five, good.

How about this one? Ready to tell me on three? One, two, three, four tenths and two hundredths or 42 hundredths, not written as this one digit per column, regroup to the left.

Zero point, you finish it, four two, 42 hundredths, 0.

42 of one flat of one.

This time.

Ready? Tell me one, two, three, 64 hundredth.

We know this mistake now don't we? We know to avoid this 0.

64, six tenths and four hundredths, 64 hundredths.

I've switched to some drawings because at home you're not likely to have any of this equipment.

Neither do I.

So drawings will help, some lines to represent the sticks, some small squares to represent the small cubes.

So what do we have here? 10, 20, 30, 40, 50, 57 hundredths, 0.

57.

You tell me this one, 12 hundredths, 0.

12 and have a look at those lines.

76 hundredths, 0.

76.

I have six decimals for you, look at the example.

I'd like you to represent the decimals with a drawing of those sticks and small cubes.

That's the Dienes, the name of that equipment, Dienes represent the decimal with a drawing and a fraction, press pause, complete your activity, come back and we'll have a look at the solutions.

Welcome back, hold up your paper let me have a look at the drawings.

Fantastic, look at those sticks Representing tenths and small cubes represent small squares, sorry, representing the small cubes.

Although it looks like some of you have tried to be 3D with your drawings, nice try.

Let's have a look then, so here are the first three drawings and decimals.

Have a quick check under mark.

Ready for the next three? Here you go.

We've got our drawings.

And we've got our fractions.

Fantastic, let me see those smiles.

How big are those smiles based on that activity? Good or lots of teeth.

Lots of big, big smiles.

Fantastic, really, really good effort everyone.

Let's finish up with this activity.

What could my decimal be? First of all, on the left.

"I am bigger than a half," okay, "less than six tenths," okay, "and I contain the digit three." Hmm, bigger than a half, smaller than six tenths.

So I'm bigger than five tenths, and I'm smaller than six tenths, and I've got a three.

Press pause.

What could I be? What did you get? 0.

53, bigger than five tenths, smaller than six tenths, and it has the digit three in the hundredths place.

Look at the right, "I am greater than a quarter, less than four tenths, And I contain two digits that are the same," which are the same.

Press pause and have a go.

How did you get on? Okay what did you get? Did anyone find this one tricky? I wonder if you found the bit about the quarter tricky.

We haven't yet looked at representing a quarter as a decimal, that will be coming up in future lessons, but a quarter as a decimal, 0.

25.

So I'm greater than 0.

25, I'm less than four tenths, less than 0.

4, I contain two digits which are the same.

0.

33.

If you enjoyed that activity ready for a challenge as well, create one of your own.

Test it out though, to make sure it works.

well done everyone.

Once again, I am finishing this lesson feeling very proud of each and every one of you and how hard you have worked during this lesson.

Thank you for keeping a really big smile on my face.

I think a little bit more time practising my juggling is in order.

I wonder what you're going to go off and do next.

whatever it is, I hope that that keeps a smile on your face as well.

Looking forward to seeing you again for our next maths lesson very soon.

Bye.