Lesson video

Hi everyone.

It's Mr Whitehead, here for lesson three, of our unit on decimals.

I'm just getting myself organised, and I've got a ruler, a pencil, and a book.

You might need to press pause, while you get yourself organised, and collect those things.

And also, as always, check that you are in a quiet space.

I again need your full attention for the next 20 minutes.

So if you need to take yourself away from the television, or away from any other technology that might interfere into your own quiet space, it's a good time to do that now.

Press pause, get yourself organised, then come back when you're ready.

Here's our agenda.

We'll start off by recapping on recognising tenths as fractions, and as decimals.

Then we're going to be doing some spot the difference work, which will help us to compare two decimals, ready for our independent task.

I've already told you what your need, but one last chance, press pause, go and collect these items, pen, pencil, ruler, and a piece of paper, or a book, come back, and we can get started.

Press pause if you need to, or let's get started.

Here we go.

I've got a picture for you on the left, a stick.

Remember we were talking about these as sticks, in previous lessons.

The stick does not represent 10.

It represents a decimal, a fraction.

But what does it represent? Can you call it out to me? I heard one 10th and I heard something else.

What else did I hear? 0.

1, fantastic.

Okay, same again.

Here are some sticks, representing tenths, but how many? Six tenths, or 0.

6, well done.

Next one, on three tell me.

One, two, three, two tenths, or as a decimal, 0.

2.

Now of course, the fraction, and the decimal, they're equivalent, one 10th is equivalent to 0.

1.

Can you say that using the word equivalent for one of the others, maybe for the six tenths or the two tenths? You say it on three, one, two, three.

Super, remember that.

The fraction one 10th, is equivalent to the decimal 0.

1.

Next, fraction and decimal.

Tell me, what? You didn't say Five tenths? What did you say? One half, of course one half is equivalent to five tenths.

One half, is equivalent to 0.

5.

We could say one half, we could say five tenths.

Next, what is it? Three tenths and 0.

3, and last one, what have we got there? Seven tenths or 0.

7.

Well done.

Okay.

What's the same, and what's different? Here's the spot the difference work.

Have a look.

What can you tell me? What differences can you spot? Is there anything that's the same? Something that's the same.

Tell me.

There are the same number of digits in each number.

We have a zero and a seven, we have a one and a three, each number has two digits.

Something else that's the same? Good.

Each number has one decimal place.

Anything that's different? Ah! one of the numbers has zero ones, one of the numbers has one, one.

Good.

We're starting to look really closely at the similarities and differences.

Here are some images now.

0.

7 has seven tenths, 1.

3 has 13 tenths or one and three tenths.

Good.

On a number line, where is 0.

7 going to be? And where would 1.

3 be? Could you maybe hold it with your finger over the place where those two numbers would be? Show me where 0.

7 would be.

Good.

And 1.

3? Super.

0.

7 is closest to zero.

1.

3 is furthest from zero.

And in our place value grid, 0.

7 has seven tenths, 1.

3 has three tenths and one, one.

Okay, your turn.

Notice the star word "greater".

Greater is a word I'd like you to use in this lesson to help you talk about these two decimals and other decimals later.

So, which is greater and how do you know? Raise your hand if you would say 0.

6 is greater.

How about if you think 0.

8 is greater.

Okay.

Why is 0.

8 the greater of the two numbers? How can you explain? Let's have a look at some images.

We could use some drawings.

I haven't got any deans, any sticks.

You probably haven't either.

We could draw some pictures of them to explain how we know.

0.

8 is greater, it has eight tenths.

0.

6 has only six tenths.

Good.

On a number line, which of them is furthest from zero? And which of them is closest to zero? The furthest from zero is 0.

8 and the closest to zero, 0.

6.

So we know 0.

8 is greater because it's further from zero.

In our place value grid, we can see the number with the greater number of tenths, 0.

8.

Okay, your turn for this one and free choice with how you explain.

On a number line, with drawings, or in your place value grid, which is greater, and how do you know? Why don't you press pause, work on your explanation, come back when you're ready to tell me how you know which is greater.

Press pause.

Are you ready to tell me, which is greater? Point to the one that's greater.

You pointing at 0.

7.

Good.

Why? How do you know that's the greater one? Show me what you've drawn.

Hold it up, let me look.

Oh, I see what you've picked.

This is what I picked.

I've explained with this drawing.

0.

4 has four tenths, 0.

7 has seven tenths.

There are more tenths in 0.

7.

It's the greater number.

Okay.

How about this time? Which is greater? How do you know? How are you going to explain? Read the numbers to me, 0.

8 and 1.

7.

Okay.

Press pause again, work on your explanation, come back and explain how you know which is the greater.

Press pause.

Are you ready? Which is the greater? 1.

7, how do you know? I've drawn using a number line, my explanation.

How am I going to use this number line to explain which is greater? What am I going to say? What am I going to do with the number line? Tell me.

Super.

Yes, I can show which of the numbers is furthest from zero and which is closest.

The closest to zero, 0.

8.

The furthest from zero, 1.

7.

So 1.

7 is the greater number.

0.

1 or 0.

7? What would you draw? How would you use the number line? What would you say? Press pause, then come back and tell me how you know which is greater.

Ready? This time, I've just used the place value grid, and I can see one of the numbers has one 10th, the other has seven tenths, neither of them have any ones, star word.

I can tell which one is greater because it has more tenths.

0.

7.

Have you seen these symbols before? Do you sometimes struggle to remember which is which? Now I'm sure the one in the middle, you'll always remember, but the other two, which is greater, which is less than? I sometimes have to think a little bit about which one I'm looking at.

And to help me, I use this.

In my head, I visualise some squares inside each of the symbols.

Can you see why? The symbol in the middle, two is equal to two.

The symbol on the left, one is less than three, and the symbol on the right, three is greater than one.

That helps me to remember which is which.

Maybe you can visualise that to help you remember.

Here's a chance to use those symbols.

I would like you to make some inequalities using the decimals in the squares and the symbols in the circles.

So you will, for example, pick a number, match the correct symbol for the second number that you've chosen, so that it reads and makes sense.

The word, because is there, explain how you know.

So, press pause.

What inequalities can you find using the following symbols? Come back when you're ready to tell me what you found.

Are you ready? See, what did you find? Were you able to make some inequalities and explain how you know whether a number is less or greater? Well done.

Good job.

This was one that I made.

Which symbol is missing? Oh! Are you happy with that symbol? There's funny looking faces.

You don't seem to be happy that I've got a greater than symbol.

0.

7 is greater than one.

It's not? Oh! but I thought it might be, because there's a seven in 0.

7 and only a one in one.

What have I misunderstood? 0.

7 has only seven tenths.

One has one and one is greater than seven tenths.

One is 10 tenths, yes.

So 0.

7 is less than one.

Good spot, and thank you for helping.

We are ready for our independent practise.

I have six inequalities for you.

I'd like you to fill in the missing symbols.

If you're ready for a challenge, easy or hard, can you group the questions based on how challenging they are, which ones made you think more? And why is that? Press pause while you'd go and work on the task, then come back and we can look at the answers together.

Are you ready? Should we take a look? Okay.

First one, what did you get? Less than? Well done.

Second? Greater than.

Third? You know, I left the third blank because I couldn't find it to be less or greater.

So I skipped it.

Number four, I got this, 2.

3 is greater than one and nine tenths.

What did you get in five and six? Okay.

What! You did get a symbol for number three.

Which symbol did you get? Equal to.

Of course, the "equal to" symbol, 0.

8 is equal to eight tenths.

Now the task was about completing the statements.

So that's okay.

Number three is not an inequality, it's balanced, it's equal.

So we use the equal symbol.

But numbers one, two, four, five and six are inequalities because what's on the left and what's on the right are not balanced.

How did you get on with the challenge? I wonder which of the questions you grouped is more challenging.

Which ones made you think a bit more.

For me, I would put number three in the hard section because I had to do more thinking about number three.

Number six as well, 5.

6 or five and a half? I had to do more thinking around five and a half.

Of course, five and a half is equivalent to five and five tenths.

With that thinking, it helped me to work out that 5.

6 was greater.

Good work, everyone.

Can I have one last look? Hold up your sheets.

Let me have a look at your representations.

How you've shown your thinking.

If you've given any explanations to go with what you've been recording.

Good.

I can see that you had to go at the ready for a challenge as well.

Well done you, big thumbs up.

Let's have a go at quick activity together before we finish.

Which is greater? I'm going to show you two numbers.

For example, 0.

4 and 0.

6.

Your job is to say back to me, the inequality, "0.

6 is greater than 0.

4." As quickly as you can.

Are you ready? Which is greater? Tell me the inequality.

0.

7 is greater than 0.

2.

Well done.

Ready for another? Here it is, which is greater? Say the whole thing.

Two is greater than 0.

9.

Super.

One more, which is it? Say the whole sentence.

1.

7 is greater than 1.

1.

If you would like to share your work with Oak National from this lesson, please ask your parents or carer to share your work on Twitter, tagging @OakNational, hashtag Learn with Oak.

That's another fantastic lesson.

Lesson three, big tick.

Join me again for lesson four as we continue our decimals unit.

See you again soon.

Bye.