Lesson video

Hello, I'm Mrs. Cayley and I'm going to be your teacher today.

So in today's lesson, we're going to compare two numbers and say which one is greater than or less than the other.

So let's have a look at today's lesson outcome.

Here's the outcome of today's lesson, I can compare two numbers and say which is greater than or less than the other.

Here are keywords for today's lesson, can you repeat them after me? The first one is compare.

My turn, compare.

Your turn? My turn, more than.

Your turn? My turn, greater than.

Your turn? My turn, fewer than.

Your turn? My turn, less than.

Your turn? Well done.

Do you know what these words mean? So compare means we're going to look at two objects and see what is the same and what's different about them.

We can compare two numbers as well and see which one is greater than or less than the other.

More than means there's a larger amount of objects in a set compared to another set.

And greater than means that a number has got a bigger value or a larger value than another number.

Fewer than means that there's a smaller amount of objects in a set compared to another set.

And less than means that a number is smaller than another number.

Here's today's lesson outline.

Today we will compare two numbers and say which is greater than or less than the other.

We'll start off by comparing and describing numbers, and then we'll compare numbers using symbols.

So let's start on the first part of the lesson.

In today's lesson you'll meet Andeep and Izzy.

They're going to help us with our learning today.

You can compare numbers by looking at what is the same and what's different.

So have a look at the counters in set A and set B.

I wonder what's the same and what's different about them? Andeep said, "They both have a row of five at the top." Can you see that row of five at the top? So that's something that's the same about them both.

I wonder what's different about them? Izzy said, "Set B has five and a bit." So it's got a bit more, hasn't it, than set A? Andeep said, "Set A only has five counters." Izzy said, "Set B has more than five counters." Do you agree? So Andeep said, "Set A has fewer counters than set B." So it's got a smaller amount of counters.

Izzy said, "Set B has more counters than set A." So it's got a larger amount of counters.

So Andeep has noticed they both have five and a bit.

Can you see the five on both set A and set B? Izzy said, "Set B has more in the bit than set A." Andeep said, "Set A is five and two more.

Set A has seven counters." Izzy said, "Set B is five and three more.

Set B has eight counters." So set A has fewer counters than set B.

So set B has more counters than set A.

Can you see it's got one more counter in set B than set A? So seven is less than eight and eight is greater than seven.

Let's check your understanding, who is correct? So we've got two sets of counters here, A and B.

Andeep said, "Set A has more counters than set B." Izzy said, "Set A has fewer counters than set B." Have a close look at the counters in set A and set B and pause the video while you think about who is correct.

That's right, Andeep was correct.

Set A has got more counters than set B.

I can see they've both got five and a bit, but the bit is more in set A than it is in set B.

So we had nine counts in set A and eight counts in set B.

nine is five and four more and eight is five and three more.

So nine is greater than eight.

You can compare numbers when they look different.

Here we've got some different representations of numbers.

I wonder what's the same and what's different about them? Andeep said, "There are seven counters, five and two more." Izzy said, "There are eight fingers, five and three more." So they've both got a five in them haven't they, and a bit more? Izzy said, "There are more fingers than counters." Andeep said, "There are fewer counters than fingers." Do you agree? Izzy said, "Eight is greater than seven." Andeep said, "Seven is less than eight." You can compare numbers when they look different.

Here we've got a representation of a number and a numeral.

Andeep is looking at the top number, he said, "I can see six counters." Izzy is looking at the bottom number.

She said, "This is eight.

Eight is five and three more." Izzy said, "I can check with my fingers." Five and three more, that makes eight.

Andeep said, "Six is five and one more.

So six is less than eight." Izzy said, "Eight is greater than six." You can compare numbers when they look different.

Here we've got some other representations for numbers.

Andeep is looking at the top number, he said, "Nine is five and four more." Izzy is looking at the bottom number.

She said, "I can see six counters, five and one more." I wonder what's the same and different about these two numbers? They've both got a five in them haven't they and a bit more? Izzy said, "Nine would need more counters." Andeep said, "Nine is greater than six." So six must be less than nine.

Let's check your understanding, who is correct? Andeep and Izzy are looking at the two numbers here.

Andeep said, "10 is greater than 7." Izzy said, "10 is less than 7." Pause the video and think about this one.

That's right, Andeep is correct, 10 is greater than 7.

10 is 5 and 5 more, but seven is only five and two more.

So 7 is less than 10.

Here's a task for you to have a go at.

Can you choose two cards to compare using the words greater than and less than? So you could draw these on a piece of paper, or you could cut them up, or you could make them with counters, and choose two of the cards to compare and use the stem sentences that Andeep and Izzy are saying, hmm is greater than hmm, or hmm is less than hmm.

Here's the second part of your task, here we've got some different representations for numbers.

Can you choose two cards to compare using the words greater than and less than? So you can draw these or cut them out and compare, and say the stem sentences that Andeep and Izzy are saying.

Hmm is greater than hmm, and hmm is less than hmm.

So pause the video and have a go at your tasks.

How did you get on with your tasks? You might have said six is greater than five.

You might have said seven is less than eight.

You might have said 9 is less than 10.

What did you say? How did you get on in the second part of your task? You might have said 10 is greater than 9.

You might have said seven is less than eight.

You might have said six is greater than five.

What did you find? We're going to move on to the second part of the lesson.

We will be comparing numbers using symbols.

We can use symbols to represent greater than and less than.

You might have seen these symbols before.

This symbol represents is less than and here it is with some cubes in between.

Can you see why it's this way around? So fewer cubes fit in the small part and more cubes fit in the bigger part.

This symbol represents is equal to, and here it is with some cubes between them.

You can see here that the cubes are the same.

So the two parts of the symbol are level.

This symbol represents is greater than, and here's the symbol, you can see more cubes fit in the larger end of the symbol.

What do you notice here? Here we've got four cubes and six cubes.

So four is less than six, and this is how we write it, four < six.

And here we've got six cubes and four cubes, so the cubes have been swapped round.

So six is greater than four, and this is how we write it, six > four.

We can say, if four is less than six, then six is greater than four.

So when the numbers swap round, the symbol swaps round.

You can compare numbers and use symbols to show this.

So can you see the counters in set A and set B? We've got seven counters in set A and eight counters in set B.

Andeep said, "Seven is less than eight." Izzy said, "Eight is greater than seven." Do you agree? You can compare numbers and use symbols to show this.

So we've got seven counts in set A and eight counts in set B.

Andeep said, "Seven is less than eight." so we can put the less than symbol in between seven and eight.

Now the sets of swap round.

So we've got set B first, eight counts in set B and seven counts in set A.

Now we can say that eight is greater than seven, and there's the symbol.

Andeep said, "If the numbers swap round, the symbol changes." Izzy spots a quicker way to compare the numbers.

Here we've got the numbers eight and seven again.

Izzy is looking at what's the same about them.

She's noticed that the numbers are both five and a bit, so we can just compare the extra bit.

So eight is five and three more and seven is five and two more.

So if we compare the extra bit, we can see three is greater than two.

So the whole number eight is greater than seven.

Let's put the symbol in between, eight > seven.

Izzy is comparing two other numbers.

Can you see here she's comparing nine and six? I wonder what's the same about them? Izzy has noticed that the numbers are both five and a bit.

So we can just compare the extra bit.

Nine is five and four more.

Six is five and one more.

So if we look at the extra bits we can see four is greater than one.

So the whole number nine is greater than six.

We can put the symbol in between, nine > six.

What numbers are shown here and how do you know? So the first number is eight, it is five and three more.

The other number is five and no extra bit.

So if we look at the extra bits, three is greater than zero.

So the whole number eight is greater than five.

We can write eight > five.

So you can compare numbers and use the symbols to show this.

Here we've got the numbers seven and six.

Seven > six.

Now we've got six and seven.

I can see that the numbers have been swapped round.

So the symbol is the other way round, six < seven.

We say seven is greater than six, and we write seven > six.

We say six is less than seven, and we write six < seven.

Let's check your understanding, who is correct? Izzy and Andy are comparing the numbers nine and seven.

Izzy said, "Nine is greater than seven." Andeep said, "Seven is less than nine." Pause the video and think about who you agree with.

That's right, Izzy is correct.

Nine is greater than seven.

I can see they've both got five and a bit, and the bit is more for nine than it is for seven.

Let's check your understanding again, who is correct this time? We've got 10 and 6.

Izzy said, "10 is greater than 6." Andeep said, "10 is less than 6." Pause the video and think about who you agree with.

That's right, Izzy is correct, 10 is greater than 6.

Here's a task for you to have a go at.

Can you add the correct symbol between each card? So we've got seven and five on the top row, then we've got six and nine, and then we've got eight and seven.

So can you compare the numbers and think about which one is less than or greater than the other? And you can say the stem sentences that Izzy and Andeep are saying.

You could try this with counters or other objects too, so pause the video while you have a go at your task.

How did you get on with your task? Did you add the correct symbol between each card? So first of all we were comparing seven and five.

So seven, I can see, is greater than five.

Then we were comparing six and nine.

I can see six is less than nine.

Then we were comparing eight and seven, and I can see eight is greater than seven.

Did you try this with some real objects as well? We've come to the end of our lesson.

Today we were comparing two numbers and saying which is greater than or less than the other.

And this is what we've learned, numbers can be represented with objects and as numerals.

Numbers can be compared to see which number is larger or smaller.

Greater than and less than can be used to compare numbers.

The equality and inequality symbols, so <, >, and = can be used to show which number is larger or smaller.

Well done everyone, see you next time.