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I can solve problems by comparing the number of objects in two sets.

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Licence

This content is © Oak National Academy Limited (2023), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Key learning points

Make comparisons between 2 sets of the same objects.
Make comparisons between 2 sets of different objects.
Count the different objects separately.
One set can contain more or fewer objects than the other.
Both sets can contain the same number of objects.

Common misconception

Children may think that bigger objects, or objects that are spread out have a greater value.

Emphasise that we are counting the number of objects and it does not matter about the size or position.

Keywords

Same - two or more things are identical
Different - non-identical
More than / greater than - has a greater amount / more items.
Less than / fewer than - has a lesser amount / fewer items.
Equal to - exactly the same amount or value

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Hello, I'm Mrs. Kaley and I'm going to be your teacher for today's lesson.

We're going to be learning how to solve problems by comparing sets of objects.

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

Here's the outcome of today's lesson.

So by the end of the lesson, you'll be able to do this.

I can solve problems by comparing the number of objects in two sets or two groups.

Here are keywords for today's lesson.

Can you say them after me? Are you ready? My turn.

Same.

Your turn.

My turn.

Different.

Your turn.

My turn.

More than or greater than.

Your turn.

My turn.

Fewer than or less than.

Your turn.

My turn.

Equal to.

Your turn.

Well done! We'll be using these words in today's lesson, so look out for them.

Here's today's lesson outline.

We are going to be learning how to solve problems by comparing sets of objects.

First of all, we will be comparing sets of objects and then we will be comparing different sets of objects.

So let's look at the first part of the lesson.

Here are some children that are going to help us in today's lesson.

We've got Laura, Jacob, and Aisha.

Here are two sets of cakes.

What do you notice about the sets of cakes? Think about what is the same and what is different.

Which plate has more cakes and how do you know? Can you think of a good way to compare these sets of cakes? We could match them up to compare.

So we are going to put the cakes into a line and then we'll match up and compare the two sets of cakes.

So let's start with the first plate of cakes.

Can you count them as I put them into a line? Are you ready? 1, 2, 3, 4, 5.

There are five cakes on the first plate.

Let's do the second plate.

Are you ready to count with me? 1, 2, 3, 4, 5, 6 cakes.

There are six cakes on the second plate.

So we had five cakes on the first plate and six cakes on the second plate.

Which plate has got more cakes? That's right.

There are more cakes on the second plate.

Six is greater than five.

That means that six is a bigger amount than five.

What do you notice here with these two sets of cakes? What is the same and what is different? Which plate has fewer cakes and how do you know? How could we compare these sets of cakes? We could line them up to compare.

Let's have a go at moving the first set of cakes into a line.

Can you count them with me? Are you ready? 1, 2, 3, 4, 5.

There are five cakes on the first plate.

Let's move on to the second plate.

Can you count along with me? 1, 2, 3, 4.

There are four cakes on the second plate.

So we had five cakes on the first plate and four cakes on the second plate.

Which plate has got fewer cakes? That's right.

There are fewer cakes on the second plate.

Four is less than five.

Jacob and Laura have got some cubes.

What do you notice about their cubes? What is the same and what is different? Who has more cubes and how do you know? Jacob had eight cubes and Laura has got 10 cubes.

I've made some of the cubes yellow.

So you can see some extra cubes that Laura has got.

Can you see now who has more cubes? That's right.

Laura has more cubes than Jacob.

And how do you know? 10 is more than eight.

Who has fewer cubes- Jacob or Laura? That's right.

Jacob has fewer cubes.

And how do you know? Eight is less than 10.

It's two less than 10, isn't it? I can see the extra two cubes that Laura's got.

Well done! Jacob and Laura have got some different cubes now.

What do you notice? What is the same and what is different? Who has more cubes now and how do you know? So I can see that Jacob has got eight cubes and Laura has got seven cubes.

Who has more cubes? That's right.

Jacob has more cubes.

And how do you know? Eight is greater than seven.

That means it's more than seven.

Well done! Who has fewer cubes now? That's right.

Laura has fewer cubes.

How do you know? When you compare the two numbers, Jacob has eight and Laura has seven and seven is less than eight.

Let's check your understanding.

Who has got more cakes here - Laura or Jacob? Pause the video and have a think about this one.

That's right.

Laura has got more cakes than Jacob.

I can see that Laura has got six cakes and Jacob has got four cakes.

How do you know? Six is greater than four.

Let's check your understanding again.

Who has got fewer cakes - Laura or Jacob? Pause the video and have a think.

That's right.

Jacob has got fewer cakes this time.

How do you know? I can see that Laura has got 10 cakes and Jacob has only got eight cakes.

Although his cakes are a bit more spread out, he hasn't got as many as Laura, has he? So eight is less than 10.

Let's check your understanding again.

Who has got more cubes - Laura or Jacob? Pause the video and think about this one.

That's right.

Laura has got more cubes.

I can see that Jacob's cubes are standing up but he hasn't got as many as Laura, has he? How do you know? I can see that Laura has got 10 cubes and Jacob has only got five cubes and 10 is greater than five.

Well done! Let's check your understanding again.

Who has got fewer cubes - Laura or Jacob? That's right.

They have the same amount.

How do you know? I can see that Laura has got six cubes and Jacob has got six cubes as well.

Six is equal to six.

Let's check your understanding again.

Who has got more cubes here - Laura or Jacob? Pause the video and have a think.

That's right.

They have the same amount again.

It looks a bit different, but they have both got the same amount of cubes.

How do you know? Six is equal to six.

They've both got six cubes.

Let's check your understanding.

Which picture is showing more than nine cubes? Pause the video to think about this one.

That's right, it was set C.

There are 10 cubes here and 10 is greater than nine.

Which picture is showing fewer than nine cubes? Pause the video and think about this one.

That's right.

Set A.

Set A only had six cubes and six is less than nine.

Which picture is showing the same as nine cubes? Pause the video and think about this one.

That's right, it was set B.

Set B has got nine cubes and nine is equal to nine.

We can compare more than two sets of objects.

So these three friends have each got a set of cubes.

Can you compare the cubes that the children have got? So have a look at Laura, Aisha and Jacob's cubes.

We could say Jacob has more cubes than Aisha.

We could say Aisha has fewer cubes than Jacob.

Can use the stem sentence to help you compare two of the children's cubes? So think about which name might go in the gaps.

Someone has more cubes than someone.

That's right.

We could say Aisha has more cubes than Laura.

Or we could say Jacob has more cubes than Laura or Jacob has more cubes than Aisha.

Here's a different stem sentence for us.

Someone has fewer cubes than someone.

Whose names could go in the gaps.

That's right.

We could say Laura has fewer cubes than Jacob.

And Laura has fewer cubes than Aisha.

And Aisha has fewer cubes than Jacob.

Well done! Here's the three children again.

They've all got a set of cubes, but we can't see Aisha's cubes at the moment.

It says Aisha has more cubes than Jacob, but fewer cubes than Laura.

How many cubes could Aisha have and how do you know? So pause the video and think about what Aisha could have.

Did you see that Jacob has got three cubes and Laura has got six cubes? So how many cubes could Aisha have? Aisha said I could have four cubes.

Do you agree? Is there more than one possible answer? Is there a different amount of cubes that she could have? Yes.

She said I could have five cubes.

So it could have been five cubes as well, couldn't it? Well done! Here's a task for you to have a go at.

I've drawn some counters here.

Can you draw some sets of counters that have more than the number shown? So think about how many counters I've drawn and see if you can draw more than the amount shown.

And think about is there more than one way of doing it? Here's your second task.

Can you find two sets of objects? I found cubes.

And can you compare each set and think about what is the same and what is different? Which set has more cubes and which has fewer cubes? And how do you know? When you've had a go at that, you could find one more set of objects and compare all three sets like the children did.

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

How did you get on with your tasks? The first task was to draw more counters than the amount shown.

So first of all, I had drawn three counters and you had to draw a set that had more than three counters.

I've drawn four.

Then I had given you four counters and you had to draw more than four counters.

So I've drawn five counters and in the last set there were six counters and you had to draw more than six counters.

And I've drawn seven counters.

Are there other amounts that you could have drawn? Yes, there's lots of different answers here.

As long as you have drawn more counters than the amount shown.

How did you get on on your second task? I asked you to find two sets of objects and compare each set.

You might have lined your cubes up to compare them.

So I've lined my cubes up here and I can see that the top set has more cubes and the bottom set has fewer cubes.

What did you find? How did you get on? Let's move on to the second part of the lesson where we will be comparing different sets of objects.

Here are some cakes and here are some cubes I'm using to represent the cakes.

Have I gathered the right amount of cubes? And how could you check? It's quite hard to count them, isn't it, when they're all in a group like that.

I wonder if you can think of a good way to compare the two sets.

Let's start off with the cakes.

Can you count the cakes? Can you count them with me? You might want to point, 1, 2, 3, 4, 5 cakes.

How do you know? And how could you check? That's right, we could line them up.

That's a good way of counting them, isn't it? So let's count them again when we line them up.

Are you ready? 1, 2, 3, 4, 5 cakes.

There are five cakes.

How do we know it's five? The last number in our count tells us how many altogether.

Now let's count the cubes.

Can you have a go at counting the cubes? I'm going to have a go by pointing at them.

1, 2, 3, 4, 5, 6, 7, 8.

I think that's right, but how do we know and how could we check? We could line them up.

This makes it much easier.

Can you count them as we line them up? 1, 2, 3, 4, 5, 6, 7, 8.

There are eight cubes altogether.

How do we know? The last number in our count tells us how many altogether.

Do the cubes represent the cakes? Remember there are five cakes altogether and there are eight cubes altogether.

Is that the same amount? No, there are more cubes than cakes.

Eight is greater than five.

There are fewer cakes than cubes.

Five is less than eight.

Here are some apples.

I want you to think about are there enough apples to give the friends one each? Here are the friends.

I wonder how many apples there are.

Can you count them with me? 1, 2, 3, 4, 5, 6, 7, 8, 9.

There are nine apples.

Wonder how many friends there are? Can you count the friends? 1, 2, 3, 4, 5, 6, 7, 8.

There are eight friends.

I wonder if there's enough apples for the children to have one each.

Let's give each child an apple.

Are you ready? We'll count them as we give them an apple.

1, 2, 3, 4, 5, 6, 7, 8.

Are there enough apples? Yes, there are more apples than children.

We've still got one left over.

Nine is greater than eight.

Let's check your understanding.

Laura wants to know if she has enough hats to give one to each of her toys.

So pause the video and have a think about this.

Are there enough hats for her toys? What do you think about this one? Did you see how many hats there are? That's right.

There are six hats.

And how many toys are there? Yes, there are seven toys.

Are there enough hats for the toys to have one each? Let's give each toy a hat and we'll see.

Should we count them as we give them a hat? 1, 2, 3, 4, 5, 6.

There are six hats.

Are there enough hats for one each? No.

There are fewer hats than toys.

So Laura needs more hats.

Wonder how many more hats she needs? Six is less than seven.

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

Can you count the cubes? That's right.

There are eight cubes.

Can you find a set of objects that has more than this amount? And can you find a set of objects that has fewer than this amount? And finally, can you find a set of objects that has the same as this amount? Here's your second task.

Can you use your knowledge to help Aisha work out if she has enough plates for her cakes? You might want to draw the cakes on the plates to check.

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

How did you get on with the tasks? So first of all, we asked you to find some sets that were more than, fewer than, and the same as eight.

So I've got my eight cubes.

There are eight cubes here.

Then I found some pens and pencils.

There are more than eight here.

There are fewer than eight here, and there are the same as eight here.

What did you find? How did you get on on the second task? Did Aisha have enough plates for her cakes? I can see that Aisha has got six cakes and she's got five plates.

Let's try to put one cake on each plate to see if she's got enough plates or not.

Shall we count them as we do it? 1, 2, 3, 4, 5.

Did Aisha have enough plates for her cakes? No.

I need more plates.

She needs one more plate, doesn't she? There are more cakes than plates.

Six is greater than five.

There are fewer plates than cakes.

Five is less than six.

Is that what you found? We've got to the end of our lesson.

Today, we've been solving problems by comparing sets of objects.

This is what we found out.

We can count and compare the number of objects in two or more sets using the language - more than, fewer than, greater than and less than.

Lining up and matching sets of objects can help with counting and comparing.

To compare sets, we can look at what is the same and what is different.

Well done everyone! See you next time!.

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