Lesson video

Hi everyone, I was just having a read of this card I'd say a thank you card that I received recently.

It really made me smile and feel happy.

I'm reading the words inside the card.

When was the last time you said thank you for something.

Who were you thanking and what were you saying thank you for? I wonder how you made the other person feel.

Happy as well? Did it give them a big smile on their face? I wonder.

And let's put the card down and get ready for the maths lesson, and I'd like you to do the same.

So find yourself a quiet space where you can focus on yourself and your learning for around 20 minutes or so.

Free of any distractions of course.

Press pause while you get yourself sorted and then come back when you're ready for the lesson to start.

In this lesson, we are ordering numbers with up to two decimal places.

We'll start off with some counting, before we look at ordering decimals with Dienes, with those flats and sticks and small cubes, then we can transfer that learning, move it forwards by working with a number line and ordering decimals along a number line.

Those activities will leave you ready for the independent task.

Some things you're going to need, fairly simple.

Pen, pencil, rubber, ruler, something to write on, a pad, a book, some paper.

Press pause while you collect those things then come back and we'll start.

Let's start with some counting then.

Look at the number line, what do you notice? Starts at zero ends at one, okay.

Anything else? It's divided into, yes, 10 equal parts.

So what is each equal part worth? It's worth 1/10.

One, the whole one is equal to 10/10 And if we divide 10/10 by 10 into 10 equal parts, each division will be worth 1/10, okay.

Well let's count them.

I'm counting fractions following the laser infractions from zero one, two, three.

Good, keep going, louder.

And good and one or 10/10.

Let's count backwards.

Let's come backwards together in decimals, are you ready? One, two, three.

One, 0.

9, whisper, 0.

8, 0.

7, 0.

6, 0.

5, 0.

4, 0.

3, 0.

2, 0.

1, 0, well done.

Let's have a look at another one, what do you notice now? We're starting at 42 ending at 43.

So the length is still worth one, one whole, and is it still divided by 10 into 10 equal parts? Good, so still we're increasing by 1/10 with each division.

Let's count backwards in decimals from 43, ready? One, two, three.

43, 42.

9, 42.

8, you carry on, 42.

5, 42.

3, 42.

2, 42.

1 and 42.

Well done, okay.

Next 42, up to 42.

1.

So now the space is only worth 1/10 in total.

What is each division worth? Good, 1/100 because 1/10 has been divided into 10 equal parts.

Each equal part is worth 1/100.

1/10th is 10/100.

10/100 divided by 10 is 1/100, each equal part 1/100.

Let's count together and let's count 10 decimals.

Are you ready? Follow the laser one, two, three.

42, 42.

01, 42.

02, 42.

03 42.

04, 42.

05, 42.

06, 42.

07, 42.

08, 42.

09, 42 point not 10, 42.

1.

Good, good counting.

Let's have a look at some numbers represented by arrows.

I'd like you to tell me which numbers are being pointed to.

Here's your first one.

Get ready to tell me on three one, two, three.

27.

1 or how else did some of you say it? Say it again, 27 and 1/10, good.

This one, can you tell me the fraction first.

One, two, three.

27 and 8/10, good, as a decimal, 27.

8.

How about this one? Where is the arrow pointing? 27.

3, good as a fraction? 20, oh, not 27.

3, 27.

03, each division is worth 1/100.

So as a fraction not 27 3/10, but 27 3/100.

Good, thank you for spotting that mistake.

So then this one is 3/100 more.

As a fraction, 27 6/100, as a decimal 27.

06, well done.

Okay, let's have a look at some numbers, some decimal numbers.

I'd like you to order them from smallest to largest.

These sentences might help you to explain your thinking.

Press pause, have a go at ordering them from smallest to largest.

How did you get on? Which did you think was the smallest, okay.

And the largest? Right, well, let's have a look.

I'm going to represent each number using some sticks or some small squares.

So this first one, 4/10, four sticks, 0.

4, 0.

04, four small squares, four small cubes, sorry.

If I had 10 of those small cubes, I would have one stick, 1/10, 10/100.

I've got 4/100 in 0.

04.

How would I represent 0.

41? How many sticks for how many 1/10? For how many small cubes? One, how many 1/100? One or 41, 10, 20, 30, 41/100.

Next there just the other way round there.

We had 1/100, now we've got 1/10.

We had 4/10 now we've got 4/100 and find the in 42/100.

So does this help you to see why the one that you spotted as largest 42/100 is the largest and why 0.

04 is the smallest.

Well then good, let's use that thinking now to order these on a number line.

So again, press pause, and just with your finger plot where each of those decimals would set on the number line.

Come back when you're ready.

Should we take a look, okay.

First one, 0.

4, good write that, already marked on the number line, okay.

Where would 0.

04 be? Pop your finger into place.

Just here almost halfway between zero and 10/100, is 4/100 almost halfway, but a little bit less it's 100 for less than halfway between the two.

Where would 0.

41 be? Just here, 100th more than 0.

4, 1/100 more than 40/100 is 41/100.

Where would 0.

14 be, fingers ready? There, good.

Again, almost halfway between 10/100 and 20/100 is 14/100.

Finally fingers ready, there it is.

Again, it's really close to 0.

41, it's 1/100 more, it's also really close to 0.

4.

How many 1/100 more than 0.

4 is 0.

42, 2/100 more, well done.

Here's a task for you.

I'd like you to press pause while you order these 12 numbers from largest to smallest.

Again, use the sentences to help explain your thinking as you're working through, come back when you're ready to compare.

Let's have a look.

Hold up your paper, let me see how you've ordered them.

Hold your paper still, good I can see working largest to smallest.

I can see that you've got 2.

72 as the largest, let's work through the rest.

So the next smallest call it out, 2.

27 good.

Both of those numbers have two ones, but 2.

72 has 7/10.

How many 1/10 in 2.

27? Only two, so it's smaller than 2.

72, but it's not the smallest, let's keep ordering.

What comes next? Go to 0.

2.

, it's smaller because it doesn't have any 1/100.

2.

27 has 7/100, 2.

2 doesn't have any 1/100 so it's smaller.

2.

07, next, next, good.

They're close together those two, aren't they? Almost the same, but one of them has how many 1/100? One has seven, one has two.

Now we haven't got any ones.

So we are getting smaller, much smaller now.

Next row for me, 0.

7, call out the next one.

Good, next, next.

And the final two, wow.

From 2.

72 to only 0.

02.

From two-ones, 7/10, 2/100 to just 2/100.

Okay, let's have a think now about the greater and less than symbols.

Which symbols are they greater or less than? They are the greater than symbols.

Okay, so that means this number, whichever number we choose here is greater than this one, greater than this one, greater than this one.

So what does that tell you about the number that will be in this rectangle above the pink arrow? Press pause and have a think about that question and start plotting the other numbers into the rectangle two.

Ready, so which number did you put into here? The smallest number? How do you know that's the smallest number? It's only got 4/100.

And what did you pop into this rectangle then? Why did you put that number there? Because it's the largest 41/100, and then 4/10 or 40/100 and 14/100 there.

So we've ordered from smallest to largest, largest to smallest using the greater than symbols.

What's changed? Yes the numbers have changed.

What else has changed? The symbol, look.

We're now looking at the less than symbol.

So this number must be less than this number, less than this number, less than this number.

Press pause, I want to know how you know which number has to go into this rectangle above the arrow, and then which others you would plot in and how you know and why in that order.

Come back when you're ready.

So how did you know which number had to go here? It had to be the greatest, and which is the largest number? Good, 1.

8, a one and 8/10.

And how did you know which one would have to be here? The smallest, which is the smallest after those? Good, 1 1/100, 1.

01.

So which would be here and here, good work.

Have we ordered from largest to smallest or smallest to largest? Smallest to largest.

And how do you know? Good, you can see all the numbers have one, one, then we're working from smallest.

We've only 1/100 to 8/100 to 10/100 and finally 8/100? 80, 8/10, 80/100.

I think you are ready for your task.

I've got eight problems for you.

Eight sets of decimals to order into the rectangles or onto your paper with the inequality symbols between them, the greater or less than symbols between them.

Let's take a look, how did you get done? Hold up your paper for me, let me have a look.

Oh, you have been busy.

Let's compare, shall we? And here are the first four, what do you think? Tick, tick, tick, no, which number? Number one is okay? Number two, 0.

57 is less than 0.

5.

Ah, you're right.

0.

5 is less than 0.

57, 50/100 is less than 57/100, okay, good.

Should we move on to the next four? No, which one? Number 4, is it 80/100 is greater than 81/100 is greater than, well, I mean, 81/100 is greater than 8/100, but the first one is wrong.

So better, 81/100 is greater than 80/100 is greater than 8/100.

Okay, good for you.

Next four, give them a mark.

Any little mistakes from Mr. Whitehead this time? Greater, greater, greater, less, less, less, greater, greater, greater, greater, less, less, less, less, okay, good.

Okay, so a couple of questions I can learn from my mistakes with and the others that we're happy with.

How about you? Any that you're going to learn from? Good to hear.

One last activity.

Order the decimals and fractions from smallest to largest.

Press pause, give it a go, come back and we'll compare.

How did you get on? When I first looked at this, I thought, wow, ordering fractions and decimals together it's quite challenging.

But then I thought, well, I know that those fractions have a decimal equivalent.

Did you think about that as well? 1/2, what is 1/2 decimal equivalent? 0.

5, 50/100.

How about 3/4? Good, and 1/4? Yeah, 25/100.

Now, I've got six decimals to order from smallest to largest.

I think I'll feel more confident as I do it.

So which of them is the smallest that you spotted? Good, only 4/100.

That's the smallest.

What's the next biggest then? Good, 0.

2, 20/100.

Next, 24/100, so just 4/100 more than 20/100 and next, oh that was close, wasn't it? Look at the difference between 0.

24 and 0.

25, it's only how much bigger? Only 1/100 bigger.

Next, good.

Next, 1/2, 50/100.

It's not the biggest though, it's not the largest, which is the largest? 3/4, 0.

75.

How else could we say that? 75/100, well done.

If you would like to share any of your learning from this lesson, please ask a parent or carer to share your work on Twitter tagging @OakNational and #LearnwithOak.

We talked at the start of the lesson about thank you cards and saying thank you to other people.

I say right now a huge thank you to all of you for joining me for this lesson, for engaging with all of the activities I had planned and really pushing your learning forwards.

I've really enjoyed myself, thank you.

If you have any more learning lined up for the day, enjoy and I look forward to seeing you again soon for some more maths lessons, bye.