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Hello there.
My name is Mr. Goldie, and welcome to today's math lesson.
And here is the learning outcome for today's lesson.
I can give the number of hundreds, tens and ones in 1,000.
And here are the keywords for today's lesson.
I'm going to say each keyword.
Can you repeat it back? The first key word is compose, and the second key word is thousand.
Let's take a look at what those words mean.
Compose means to combine parts to make a given number.
One hundred is composed of 10 tens and a thousand is a four-digit number equal to 10 groups of one hundred.
So the first part of the lesson is how many hundreds in 1,000? And the second part of the lesson is called composing numbers to 1,000? Let's get started.
In this lesson, you'll meet Sam and Jacob and they'll be helping you with your maths today and asking you some questions too.
Sam is looking at Base 10 blocks.
"I wonder how many hundreds one thousand is composed of? Says Sam, like this represents 1,000.
This represents 100.
"Let's find out." Says Jacob.
Sam composes one thousand using groups of one hundred.
"One hundred, two hundred, three hundred, four hundred, five hundred, six hundred, seven hundred, eight hundred, nine hundred, ten hundred." Jacob says "One thousand is equal to 10 one-hundred." There are 10 hundreds in 1,000.
Sam counts in hundreds to one thousand.
See if he can join in too.
"One hundred, two hundred, three hundred, four hundred, five hundred, six hundred, seven hundred, eight hundred, nine hundred, ten hundred." You might be able to see there that the hundreds digits of each of the numbers is purple.
Just to help you read each number and understand what each of the digits is worth.
"One thousand is equal to ten hundred," says Jacob.
There are 10 hundreds in 1,000.
Sam counts back from one thousand using place value counters.
"One thousand." "One thousand is equal to ten hundred." Nine hundred, eight hundred, seven hundred, six hundred, five hundred, four hundred, three hundred, two hundred, one hundred, zero.
Sam and Jacob use place value counters.
"Each counter represents one hundred." "I've used seven counters.
Which number have I represented?" Asked Sam, can you see? Can you work out what number Sam has represented? Seven hundreds is equal to 700.
"I've used nine counters," says Jacob.
"Which number have I represented?" Can you work it out? Nine hundreds is equal to 900.
And here's one to try on your own.
Sam uses place value counters.
"Each counter represents 100.
Which number have I represented?" Or do you think? Have a good look and see if you can work out which number Sam has represented using the place value counters.
Pause the video and have a go and see if you can work out the answer.
And welcome back.
Did you get an answer? Let's take a look to see whether you got it right.
So 10 hundreds is equal to 1,000.
You may have said that 10 counters is equal to 10 hundreds or 1,000.
They're very well done.
If you got either of those answers or you said both of them.
Excellent work.
Sam uses place value counters.
Hmm, thinks Sam.
"How many groups of 200 are equal to 1,000?" One group of 200 is equal to 200.
Two groups of 200 is equal to 400.
Three groups of 200 is equal to 600.
Four groups of 200 is equal to 800.
Five groups of 200 is equal to 1,000.
"Five groups of 200 are equal to 1,000." Says Jacob.
Look at these place value counters.
"How many groups of 500 are equal to 1,000?" What do you think? Can you work out the answer? Pause the video and see if you can work out how many groups of 500 are equal to 1,000? And welcome back.
Bit of a tricky question on this one.
So very well done if you've got the right answer.
And you may have said the one group of 500 is equal to 500.
Two groups of 500 is equal to 1,000.
"Two groups of 500 are equal to 1,000." That was a bit of a tricky question.
So very well done if you worked out the answer.
Let's move on to Task A.
You're going to play a game with a partner using place value counters.
You're going to take it in turns to add one, two or three counters.
Going to say the numbers aloud.
The player who says one thousands wins.
Okay? So you'll need place value counters.
If they're marked with a hundred, that'll be brilliant.
It doesn't matter if they're not, but you have to count up in 100 and you can add one, two or three counters.
It's up to you.
So Sam puts on three counters.
Sam says, "One hundred, two hundred, three hundred." That's the maximum number of counters that you can add, three counters.
Jacob adds two counters.
So Jacob says, "Four hundred, five hundred." Now be Sam is going next.
Sam can add one counter or two counters or three counters.
It's up to Sam how many counters that she adds.
But remember the winner is the person who counts and says 1,000 first.
So you'll need a friend to play the game with.
You'll need some place value counters and a tens frame as well to help you.
Pause the video and have a go at that game.
And welcome back.
How did you get on? Did you manage to win a game? Don't worry if you lost.
It doesn't matter.
What matters is that you practise your maths and your counting.
Counting in 100 all the way to 1,000.
Let's take a look.
Your game might have looked a bit like this.
So Sam says, "One hundred, two hundred, three hundred." Jacob says, "Four hundred, five hundred." Now Sam is going next.
Sam says, "Six hundred, seven hundred." And Jacob adds three more counters, "Eight hundred, nine hundred, one thousand." So Jacob says, "One thousand." So he wins.
Congratulations, Jacob.
That's very well done and well done Sam 'cause you played a really good game there.
And Sam hopefully has learned how to win the next game.
Let's move on to the second part of our lesson.
So the second part of the lesson is composing numbers to 1,000.
Sam is looking at Base 10 blocks.
"I wonder how many tens one thousand is composed from? And this represents 10.
How many tens are equal to 1,000? What do you think? Jacob says, "Let's find out." Sam counts in tens using place value counters.
"So each hundred is composed of 10 tens," and Sam wants to find out how many tens there are in 1,000.
And 1,000 of course is equal to 10 hundreds.
"Let's group 10 tens together and count forwards in 10 tens." So Sam says, "Ten tens." Ten tens are equal to 100.
Twenty tens are equal to 200.
Thirty tens are equal to 300.
Forty tens are equal to 400.
Fifty tens are equal to 500.
Sixty tens are equal to 600.
Seventy tens are equal to 700.
Eighty tens are equal to 800.
Ninety tens are equal to 900 and one hundred tens are equal to 1,000.
Wow, that's a lot of tens.
Sam counts in groups of 10 to 1,000.
So each one hundred is composed of 10 tens, remember.
"Ten tens, twenty tens, thirty tens, forty tens, fifty tens, sixty tens, seventy tens, eighty tens, ninety tens, one hundred tens." And this time you might notice that the hundreds and tens digits of each of the numbers is slightly different colour.
And that's just to show you how many tens there are in each hundred and how many tens there are in 1,000.
"One thousand is equal to one hundred tens." There are 100 tens in 1,000.
Sam and Jacob say the number of tens.
This number here is 300.
How many tens is 300? "300 is equal to 30 tens." Remember, each hundred is equal to 10 tens.
So if there is 300, 300 would be equal to 30 tens.
What about 800? How many tens would 800 be equal to? "800 is equal to 80 tens." Say the number of tens.
1,000.
"How many tens are there in 1,000?" Think about Sam's count just a moment ago.
How many tens were there in a thousand? Was it one? Was it 10? Was it a hundred? Was it a different number? Pause the video and see if you can work out the answer.
And welcome back.
How did you get on? Did you manage to get the right answer? Let's take a look.
Jacob says, "1,000 is equal to 100 tens." 100 tens is equal to 1,000.
Very well done if you said 100 tens.
You could try saying other hundreds numbers as a number of tens.
So I wonder how many tens are there in 100? How many tens are there in 600? How many tens are there in 900? Sam looks again at Base 10 blocks.
"I wonder.
How many ones are there in a thousand?" This is one.
This is 1,000.
Jacob says, "100 ones are equal to one hundred.
Let's count forward in 100 ones." Sam counts in groups of 100 ones to one thousand.
Each hundred is composed of 100 ones.
See if you can join him in Sam's count.
"One hundred ones, two hundred ones, three hundred ones, four hundred ones, five hundred ones, six hundred ones, seven hundred ones, eight hundred ones, nine hundred ones, one thousand ones." "One thousand is equal to one thousand ones." And this time you can see that all of the digits of each of the numbers is a different colour.
The hundreds, tens and ones digits are all a different colour.
That's just to remind you as well that all the digits matter this time.
There are 1,000 ones in 1.
000.
Sam thinks about the number of hundreds, tens and ones that compose 400.
Here's 400.
"I can use place value to help me.
I can look at the digits of 400." How many hundreds are equal to 400, how many tens are equal to 400, and how many ones are equal to 400? Let's start off with the number of hundreds.
And you can see that we're only looking at the hundreds digit.
So 400 is equal to four hundreds.
Let's look at the number of 10 that are equal to 400.
This time we're looking at the hundreds digit and the tens digit.
How many tens are there all together? There are 40 tens.
400 is equal to 40 tens.
Let's look at the number of ones that are equal to 400.
This time we're looking at the hundreds, the tens and the ones digit.
So altogether there are 400 ones.
400 ones is equal to 400.
Now it's your turn to have a go.
How many hundreds, tens and ones compose 700? Here's 700.
"Use place value to help you.
Look at the digits of 700." So 700, how many hundreds is 700 composed of, how many tens is 700 composed of, and how many ones is 700 composed of? Pause the video and see if you can work out those three different answers.
And welcome back.
How did you get on? Did you answer all three of the questions? Let's take a look to see whether you got all three answers correct.
How many hundreds is equal to 700? The answer is seven hundreds.
How many tens are equal to 700? The answer is 70 tens.
And how many ones are equal to 700? The answer is 700 ones.
And don't forget, it's all about looking at those digits, trying to use those digits as clues to help you work out the answers.
Very well done if you've got all three correct.
And let's move on to Task B.
Let's look at part one of Task B.
How many hundreds, tens and ones is each number composed of? 500.
How many hundreds is that equal to? How many tens is it equal to? How many ones is it equal to? And then for B, 1,000, so 1,000 is equal to how many hundreds, how many tens, how many ones? And here's part two of Task B.
You're going to write the number of hundreds, tens or ones.
"You can use Base 10 blocks or place value counters to help you." Now let's look at that first one.
80 tens is equal to how many ones? Jacob says, "Hmm, think, 80 tens are equal to 800, so how many ones are equal to 800?" What do you think? B says 30 tens is equal to how many hundreds? C says 600 ones is equal to how many hundreds? So there's Task B.
Pause the video and have a go at Task B.
And don't forget, you can use Base 10 blocks or place value counters to help you work out the answers.
And welcome back.
How did you get on? Did you get all the way to part two of Task B? Very well done if you did.
Let's take a look at those answers.
So here are the answers for part one of Task B.
So for A, we were looking at the number 500.
500 is equal to five hundreds.
It's equal to 50 tens.
It's also equal to 500 ones.
And for B, we were looking at 1,000.
1,000 is equal to 10 hundreds.
It's also equal to 100 tens and it's also equal to 1,000 ones.
So very well done if you've got all of those answers correct.
Let's move on to the answers for part two of Task B.
Sam just reminded you to "Think carefully about place value.
You may have used Base 10 blocks to help you." So 80 tens is equal to 800 ones, 80 tens is equal to 800 and 800 is equal to 800 ones.
B, 30 tens is equal to three hundreds.
Here's Jacob, Jacob says, "30 tens is equal to 300, three hundreds is equal to 300." Thank you Jacob for your help there.
600 ones is equal to six hundreds.
Nine hundreds is equal to 900 ones, 20 tens is equal to 200 ones, 20 tens is equal to 200 and 200 is equal to 200 ones.
100 tens is equal to 1,000 ones, 100 tens is equal to 1,000, and 1,000 is equal to 1,000 ones.
G, 60 tens is equal to six hundreds and H, eight hundreds is equal to 800 ones.
Very well done if you're onto part two of Task B and you managed to get most of those answers correct.
That is excellent work and very well done in today's lesson.
And hopefully you're feeling much more confident about composing numbers up to 1,000 as a number of hundreds, tens and ones.
And hopefully you know how many hundreds, tens and ones compose 1,000.
Excellent match today.
Very well done.
And let's move on to our lesson summary.
So 1,000 is composed of 10 hundreds, 1,000 is composed of 100 tens, and 1,000 is composed of 1,000 ones.