Lesson video

Hello there.

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

And here is the learning outcome for today's lesson.

I can use place value to compose numbers up to 2000.

Here's the keyword for today's lesson, just one keyword.

I'm going to say the keyword, can you repeat it back? The word is compose.

Let's take a look at what that word means.

Compose means joining together parts to make another number.

100 is composed of 10 tens.

And here's our lesson outline.

In the first part of the lesson, we're going to be composing numbers up to 2000 using hundreds and the second part of the lesson, we're going to be composing numbers to 2000 using hundreds, tens and ones.

Let's get started.

In this lesson, you will meet Sam and Jacob.

Sam and Jacob are going to be helping you with your maths and asking you some tricky questions too.

Sam is looking at these base 10 blocks.

"What number is represented?" she asks.

"I can see there's more than 1000," says Jacob, "However, I'm not sure what the number is." So Sam and Jacob use a Gattegno chart.

"Let's count up to 1000," says Sam.

100.

200.

300.

400.

500.

600.

700.

800.

900.

1000.

"1000 is composed of 10 hundreds," says Sam.

"Let's count up to 2000," says Sam.

1100.

1200.

1300.

1400.

1500.

1600.

1700.

1800.

1900.

2000.

"2000 is composed of 20 hundreds," says Sam.

1000 is equal to 10 hundreds, 2000 is equal to 20 hundreds.

Sam and Jacob count in hundreds.

So they've counted using 1100, 1200, 1300.

This time, they're going to count the number of hundreds instead.

Let's start on 1000 and count the number of hundreds.

11 hundred, 12 hundred, 13 hundred, 14 hundred, 15 hundred, 16 hundred, 17 hundred, 18 hundred, 19 hundred, 20 hundred.

"20 hundred is equal to 2000," says Sam.

So Sam and Jacob go back to the base 10 blocks.

What number is represented? Sam says, "I think this is 1500." Jacob says, "I think this is 15 hundred." Who is correct? What do you think? Pause the video and see if you can work out who is correct.

And welcome back.

Did you think Sam is correct? Did you Jacob is correct? Let's take a look.

They are both correct.

The number represented is 1500.

1500 is equal to 15 hundred.

Very well done if you spotted that both them were correct.

Sam counts back from 2000 using place value counters.

So Sam starts off with 2000.

2000 is composed of 20 hundreds.

1900, 1800, 1700, 1600, 1500, 1400, 1300, 1200, 1100, 1000.

1000 is composed of 10 hundreds.

Sam and Jacob work out what the place value counters represent.

This represents 1300.

There are 10 hundred counters filling that first 10s frame.

That is equal to 1000.

And there's three extra 100 counters.

So the number there represented is 1300.

"1300 is made up of 13 hundreds," says Jacob.

You could write this as 1300.

You might hear people read this as 13 hundred.

1300 can be read as 1300 or 13 hundred.

What number is represented? What do you think? How many thousands and how many hundreds? "Also, how many hundreds?" says Jacob.

This number can be read as something thousand, something hundred or as something hundred.

Pause the video and see if you can work out what those missing numbers are.

And welcome back.

Let's take a look, see what you said.

So Sam says, "This represents one thousand and eight hundreds." We could also say this represents 18 hundreds.

So this number can be read as 1800 or 18 hundred.

You could also write this as 1800.

Very well done if you said one of those answers.

Excellent work if you said more than one of them.

Sam uses her knowledge to complete the number track.

I'm going to write in the missing hundreds numbers.

Say each number as you write it in.

"I'll start counting in hundreds," says Sam.

800, 900.

What comes next? 1000, 1100, 1200 is already on the number track.

So next will come 1300, 1400, 1500.

So Sam has completed the missing numbers on the number track.

Now it's your turn.

Complete the number track.

Find the missing hundreds numbers.

Say each number.

Well, this carefully about how you'd work out the missing numbers.

You might need to count forwards, you might need to count backwards.

Pause the video and see if you can work out the missing numbers.

And welcome back, did you manage to find all the missing numbers? Let's take a look to see whether you got them right.

So Sam says, "I'd count back from 1100 first." The first number Sam would get to is 1000 and the hundreds number before 1000 is 900.

Jacob says, "Then I'd count on from 1100 next." So that'd be 1100, 1200, 1300, 1400, 1500.

Very well done if you managed to complete all of the missing numbers.

Let's move on to task A.

For the first part of task A, you're going to complete the sentences.

So one, A says, "1300 is composed of something thousand and something hundreds or somethings hundreds.

I can this as something thousand, something hundred or something hundred." And B will be 1500 and C is 1800.

So how would you complete those sentences using numbers describing each number using thousands and hundreds or just hundreds.

And part two of task A, complete the number tracks by counting in hundreds.

Say the numbers as you write them in.

Saying the numbers out loud will really help you get the numbers correct.

So for A we've got the numbers 600 and 900 on the number track already.

Can you find the missing numbers? So pause the video and have a go at task A.

And welcome back.

How did you get on? Did you complete part one? Did you complete part two? Let's take a look at those answers.

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

So 1300 is composed of one thousand and three hundreds or 13 hundreds.

I can read this as 1300 or 13 hundred.

1500 is composed of one thousand and five hundreds or 15 hundreds.

I can read this as 1500 or 15 hundred.

There are the answers for part one of task A.

Let's take a look at the answers for part two of task A.

So A starts off with 600, we have 600, 700, 800, 900, 1000, 1100, 1200.

And B, that first missing number was 1100, then 1200, 1300, 1400, 1500, 1600, and 1700.

Very well done if you got on to part two of task A and excellent work if you completed all of part two.

Very well done.

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

So the second part of the lesson is composing numbers to 2000 using hundreds, tens and ones.

Sam and Jacob use a Gattegno chart to count in tens.

"Let's count up to 1000 in tens," says Sam.

Each hundred is composed of 10 tens.

So we can count up like this, 10 tens, 20 tens, 30 tens, 40 tens, 50 tens, 60 tens, 70 tens, 80 tens, 90 tens, 100 tens.

1000 is composed of 100 tens.

"Let's count up to 2000," says Sam.

So 1100 is equal to 110 tens.

The next would be 120 tens, 130 tens, 140 tens, 150 tens, 160 tens, 170 tens, 180 tens, 190 tens, 200 tens.

2000 is composed of 200 tens.

Sam and Jacob say the number of tens.

Each hundred is composed of 10 tens.

1000 is composed of 100 tens.

How many tens would that be, 1400? 1400 is equal to 140 tens.

And you can see there that the thousands, hundreds and tens digits are all in a different colour.

1400 is equal 140 tens.

What about this number here, 1800? How many tens is that equal to? 1800 is equal to 180 tens.

Now it's your turn.

Say the number in tens.

How many tens is that equal to? Remember, each hundred is composed of 10 tens and 1000 is composed of 100 tens.

Pause the video and see if you can say the number of tens.

And welcome back.

Did you manage to say the right number of tens? Let's take a look.

1200 is equal to 120 tens.

Very well done if you said 120 tens.

The base 10 blocks represent 1500.

This represents 1500.

"How many ones are in 1500?" says Sam.

This represents one.

Well, 100 is equal to 100 ones.

1000 is equal to 1000 ones.

So how many ones are in 1500? There are 1500 ones in 1500.

Sam and Jacob say the number of ones.

Remember, each hundred is composed of 100 ones and 1000 is composed of 1000 ones.

So how many ones are in this number here? 1300 is equal to 1300 ones.

What about this number here? 1600 is equal to 1600 ones.

Sam and Jacob use a place value grid to show the number of hundreds, tens and ones.

"1500 is composed of one thousand and five hundreds," says Sam.

"1500 is composed of 15 hundreds," says Jacob.

1500 is composed of 150 tens.

1500 is composed of 1500 ones.

Record the number of hundreds, tens and ones.

What is 1700 composed of? So there is how many thousands and how many hundreds and there are how many hundreds, how many tens, how many ones? Pause the video and see if you can work out the missing numbers.

And welcome back, did you manage to find all the missing numbers? Let's take a look to see whether you got them right.

So there is one thousand, seven hundred, so 1700 is equal to one thousand, seven hundred.

There are how many hundreds? 17 hundreds.

There are how many tens? 170 tens.

How many ones are there? There are 1700 ones.

Very well done if you got all those correct.

And let's move on to task B.

So in task B, read and then write each number in different ways.

So you got a place value grid with numbers on them.

You've got to work out what each number represents as thousands, hundreds, tens and ones.

So you've gotta find the missing numbers.

Part two of task B.

Write the missing digits.

Look carefully at each number and say how many ones, tens or hundreds each number is composed of.

So in A, that example given there is 1500 is composed of how many tens? You can use a place value chart to help you.

So you might actually want to complete a place value chart and that could help you get the right answer.

1900 is composed of how many hundreds? 1600 is composed of how many ones? And what number, what four digit number is composed of 11 hundreds? So see if you can write the missing digits.

Pause the video and have a go at task B.

And welcome back.

Now let's take a look at those answers.

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

So that first number there is 1100 and 1100 is equal to 11 hundreds or 110 tens or 1100 ones.

And the next number was 1900 and 1900 is equal to 19 hundreds or 190 tens or 1900 ones.

Very well done if you got those right.

Let's take a look at part two of task B.

Here are the answers for part two.

You may have used a place value chart of base 10 blocks to help you.

Sam says, "1500 is composed of 15 hundreds, 150 tens and 1500 ones." So for A, 1500 is composed of 150 tens.

B, 1900 is composed of 19 hundreds.

C, 1600 is composed of 1600 ones and D, 1100 is composed of 11 hundreds.

Very well done if you got on to part two of task B and excellent work if you completed part two of task B.

And very good work today.

Very well done indeed.

And hopefully you're feeling much more confident at composing numbers up to 2000 using hundreds, tens and ones.

Excellent work today, really very well done indeed.

And finally, let's take a look at our lesson summary.

So numbers can be composed in different ways.

Each thousand is equal to 10 hundreds or 100 tens.

Numbers can be read in different ways.

1300 is equal to 13 hundreds, but you might hear people read this as 13 hundred.