Lesson video

Hello, I'm Mrs. Cayley, and I'm going to be your teacher for this lesson.

So in today's lesson we're going to order and sort numbers into odd and even sets.

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

Here's the outcome of today's lesson.

I can explain how numbers that are made out of pairs of two are even numbers, and numbers that cannot be made out of pairs are odd numbers.

Here are the key words for today's lesson.

Can you say them after me? My turn, pair.

Your turn.

My turn, even.

Your turn.

My turn, odd.

Your turn.

Well done.

Do you know what these words mean? So a pair means we've got two of something.

There are two together.

So you might have used this word when you're talking about a pair of shoes, or a pair of socks, or a pair of glasses for your two eyes.

So it's things that come in twos.

The word even is referring to an even number.

Even numbers can be made out of pairs.

Even numbers end in 0, 2, 4, 6 and 8.

Odd means an odd number.

Odd numbers cannot be made out of pairs.

Odd numbers end in 1, 3, 5, 7 and 9.

Here's the outline for today's lesson.

So today we will order and sort numbers into odd and even sets.

First of all, we will represent and describe numbers, and then we will sort numbers into odd and even.

Let's start on the learning.

Here are some children that are going to help us today.

We've got Andeep and Izzy.

We can represent numbers with cubes.

I've put some cubes together to make some shapes to represent numbers.

Here are some of my shapes.

I wonder what number they're representing.

We've got 1, 4 and 7.

Here are some more shapes.

Can you see 2, 3 and 6? And here are some other shapes.

Can you see I've made 10, 9, 5 and 8? I've made all the numbers from 1 up to 10.

You could make some numbers out of cubes or you could draw some.

We can put the cubes in order.

So if you've got some, you could try this along with me.

So we're going to put them in order from smallest to largest.

So we're gonna start with the smallest number, which is one.

Can you do it with me? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

We've put them in order from smallest to largest.

Can you see it makes a nice pattern when we put them in order.

It looks like some stairs going up.

What do you notice here? We're going to count from 1 to 10, and think about what you notice.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

What did you notice? Andeep said, "As the numbers go up, one more cube is added." Izzy said, "Each number has one more cube than the last." Do you agree? Now we're going to try counting backwards from 10.

So we're going to start with 10 and count down.

10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.

What did you notice? Andeep said, "As the numbers go down, one cube is taken off." Izzy said, "Each number has one fewer cube than the last." How have these been sorted? So here we've got the numbers from 1 to 10.

We're going to sort the shapes.

Let's have a go.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Can you see we've sorted them into two groups.

How have they been sorted? Izzy said, "These shapes have a flat top." So she's looking at the shapes at the top there.

They've all got a flat top.

Andeep is looking at the shapes at the bottom.

These shapes have an extra block.

They've got an odd block at the top.

They haven't got a flat top, they've got an extra block.

Izzy has noticed the shapes at the top are made of pairs.

Andeep has noticed that the shapes at the bottom are not made of pairs.

So you could put your fingers to see the pairs of cubes in the tops set of shapes.

And the bottom set of shapes are not made of pairs, they've got an extra block at the top.

So the shapes at the top are called even numbers, and the shapes at the bottom are called odd numbers.

These are even numbers.

Can you see, we've got 2, 4, 6, 8, and 10, and they've all got a flat top.

They have pairs of cubes.

Can you see that the cubes come in pairs, they come in groups of two.

Here's a stem sentence for us to say.

"Mm is made of pairs.

It is an even number." So let's have a look at the number 2, and I'm going to put a ring around the pair.

There we are, there's the group of 2.

So 2 is made of 1 pair.

It is an even number.

Let's look at the number 4.

How many pairs has the number 4 got? It's got 1 pair, 2 pairs.

So 4 is made of 2 pairs.

It is an even number.

Let's look at the number 6.

How many pairs has the number 6 been made out of? It's got 1 pair, 2 pairs, 3 pairs.

So 3 is made of 3 pairs.

It is an even number.

Let's have a look at the number 8.

How many pairs can you see? That's right, it's got 1, 2, 3, 4 pairs.

8 is made of 4 pairs.

Let's have a look at the number 10.

How many pairs can you see? That's right, it's got 1, 2, 3, 4, 5 pairs.

10 is made of 5 pairs.

It is an even number.

Izzy said, "These shapes have flat tops." Andeep said, "These shapes have groups of two." So they've all got pairs.

Izzy said, "These shapes have pairs of cubes." Andeep said, "These numbers are called even numbers." So any number with a flat top is an even number.

If you can make it out of pairs, it's an even number.

We could make bigger numbers out of pairs of cubes.

Let's have a look at these two numbers.

We've got 8 and 9.

What do you notice? What is the same and what's different? So Izzy said, "8 has 4 pairs of cubes." Let's see the pairs of cubes.

We've got 1 pair, 2 pairs, 3 pairs, 4 pairs, and it's got a flat top.

So 8 is an even number.

Andeep said, "9 has four pairs of cubes and an extra cube." So it's got 4 pairs of cubes like 8 had, but it's got an extra cube at the top.

So here's the 1, 2, 3, 4 pairs of cubes, and then it's got an extra cube at the top, an odd block at the top.

So 9 is an odd number.

So what was the same about these two numbers? Well, they both had 4 pairs of cubes, but what was different? 9 had one extra cube.

It had one odd block at the top.

These are odd numbers.

So we've got 1, 3, 5, 7, and 9.

They have an extra cube.

They've all got an odd block at the top.

So these numbers cannot be made just with pairs.

Here's a stem sentence for us to say.

"Mm is not made of pairs.

It is an odd number." So 1 is not made of pairs, it is an odd number.

3 is not made of pairs, it is an odd number.

5 is not made of pairs, it is an odd number.

7 is not made of pairs, it is an odd number.

9 is not made of pairs, it is an odd number.

Izzy said, "These shapes do not have flat tops.

They have an odd block." Andeep said, "These shapes do not have groups of two." Izzy said, "These shapes do not have pairs of cubes." These numbers are called odd numbers.

So any number that's got an odd block at the top is an odd number.

Can you think of any others? What do you notice here? What is the same and what's different? So Izzy said, "2 has a flat top and 3 has an extra block." Andeep said, "2 is an even number and 3 is an odd number." What do you notice here? What's the same and what's different? Izzy said, "4 has a flat top and 9 has an extra block." Andeep said, "4 is an even number and 9 is an odd number." What do you notice here? What is the same and what's different? Izzy said, "6 has a flat top and 7 has an extra block." Andeep said, "6 is an even number and 7 is an odd number." We can sort numbers into odd and even.

So I've got a circle here that I'm going to put odd numbers into, and a circle for even numbers.

Remember that odd numbers are not made of pairs.

Even numbers are made of pairs.

So let's have a look.

Here, we've got the number 10.

Is it going to go in the odd set or the even set? That's right, it's an even number.

10 is made of pairs.

It is an even number.

I can see it's got a flat top.

What about this one? This is the number 9.

Is it going to be odd or even? 9 is an odd number.

9 is not made of pairs.

It is an odd number.

I can see the extra block at the top.

What about this one? Is it going to go into the odd or the even set? So this is the number 8.

8 is made of pairs, so it is an even number.

I can see the flat top.

Here's another number.

Is it going to go into the odd set or the even set? That's right, this one's an odd number, it's 7.

7 is not made of pairs.

It is an odd number.

I can see the extra block.

What about this one? Is it an odd number or an even number? That's right, this is an even number.

This is 6.

6 is made of pairs.

It is an even number.

I can see the flat top.

What about this number? Is it an odd number or an even number? That's right, this is an odd number.

This is 5.

5 is not made of pairs.

It is an odd number.

What about this number? Is it an odd number or an even number? That's right, this is an even number.

It's 4.

4 is made of pairs.

It's got a flat top.

What about this number? Is this an odd number or an even number? This is 3.

3 is an odd number.

3 is not made of pairs.

I can see the odd block at the top.

What about this number? Is it an odd number or an even number? That's right, 2 is made of pairs.

It is an even number.

What about this number? Is it an odd number or an even number? 1 is not made of pairs.

It is an odd number.

Well done.

Let's check your understanding.

Odd or even, can you decide whether these cubes are showing an odd or an even number? Has it got a flat top or an odd block? Here's the first one.

Is it odd or even? Pause the video while you think about this one.

That's right, that's 10.

That's an even number.

I can see it's got a flat top and it's made of pairs.

What about this number, odd or even? This is the number nine.

It's an odd number.

I can see it's got an odd block and it's not made of pairs.

What about this number, odd or even? That's right, this is 8.

It's an even number.

It's got a flat top and it's made of pairs.

What about this number, odd or even? That's right, this is an odd number.

It's the number 7.

It is not made of pairs and it's got an odd block.

What about this number? Is it odd or even? That's right, this is an even number.

It's made of pairs.

It's got a flat top.

It was the number 6.

Let's check your understanding.

Izzy and Andeep have been sorting some shapes into odd and even numbers.

Can you spot any mistakes that they've made? Pause the video while you think about it.

Izzy has noticed that 4 has a flat top, so it is even, so that's in the wrong set.

Andeep has noticed that 3 has an extra block, so it is odd.

So that's in the wrong set as well.

Those two need to swap round.

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

Can you find the pairs in each shape and put a circle around them, and think about which number shapes have pairs and which ones have an extra one? So which numbers are even and which ones are odd? You could check this with shapes or cubes, if you've got them.

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

How did you get on with your task? Did you circle the pairs in each shape? So I put a circle around all of the pairs that I could see in the shapes.

And I can see that some of the shapes are just made of pairs and some of them had an extra one block.

So which ones had pairs? 2, 4, 6, 8 and 10 had pairs.

So these are the even numbers.

Which ones had an extra one? 1, 3, 5, 7 and 9, so they're the odd numbers.

How did you get on with that? Let's move on to the second part of the lesson.

We will sort numbers into odd and even.

We can sort numbers into odd or even.

You can see we've got an odd set and an even set here.

All the odd numbers have got an odd block, and the even numbers have all got pairs and a flat top.

So which numbers are odd? We've got 1, 3, 5, 7, and 9.

They're all odd.

Which numbers are even? We've got 2, 4, 6, 8, and 10.

They're all even numbers.

What do you notice? So when we sort the numbers into odd and even sets, think about what do you notice.

So we've got 1, 3, 5, 7, and 9.

They're all odd numbers.

Then we've got 2, 4, 6, 8, and 10.

They're all even numbers.

Did you notice anything? So Izzy has noticed 1, 3, 5, 7 and 9 are odd numbers.

Andeep has noticed 2, 4, 6, 8 and 10 are even numbers.

Izzy said, "When we count, there are odd and even numbers." So if you look at all the numbers at the bottom from 1 to 10, some of them are odd and some of them are even.

Andeep has notice that it goes odd, even, odd, even, odd, even, odd.

Does that pattern carry on? Yes, it does.

So we always have odd and even numbers alternating when we count.

Let's check your understanding.

Can you think about whether these numbers are odd or even and think about how do you know? So which set are they going to go in, the odd set or the even set? So the number 7, is it an odd number or an even number? And how do you know? Izzy said, "7 is odd.

I can imagine an odd block." So 7 is an odd number.

What about the number 8? Is it an odd number or an even number? And how do you know? Andeep said, "8 is even, it comes in pairs." So 8 is an even number.

What about the number 9? Is it an odd or an even number? And how do you know? Izzy said, "9 is odd.

I can imagine an odd block." So 9 is an odd number.

What about the number 6? Is it an odd or an even number? And how do you know? Andeep said, "6 is even, it comes in pairs." So 6 is an even number.

Is that what you thought? Let's check your understanding.

Can you spot the mistakes? Here, we've got an odd set and an even set of numbers.

I wonder if you can spot any mistakes.

Pause the video while you have a look.

Did you spot any mistakes? So Izzy has spotted the number shape 6.

"6 has a flat top, so it is even." So that's in the wrong place.

Andeep has spotted the number shape 5.

"5 has an odd block, so it is odd." So those two shapes need to swap round.

Did you spot any other mistakes? Izzy spotted the number 8.

"8 is an even number." So that's in the wrong set.

Andeep has spotted the number 7.

"7 is an odd number." So that's in the wrong place.

Those two numbers need to swap round.

So the shapes need to swap over and the numbers need to swap over.

Is that what you thought? Here's a task for you to have a go at.

Can you sort the numbers into odd or even and add your own? So we've got the numbers 5, 6, 7, 8, 9, and 10.

Can you put them in the right place on the table? Think carefully about whether they are an odd or an even number and think about how you could check.

Perhaps you could use cubes or number shapes to help you.

And then can you add some of your own numbers in the right place on the table? Here's the second part of your task.

Can you draw some representations of odd and even numbers? You could draw cubes or beads, counters or fingers.

And think about how do you know if it is odd or even.

How could you check? Remember that even numbers come in pairs and odd numbers have an odd block.

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

How did you get on with your tasks? Did you sort the numbers into odd or even and add your own? So here in the odd set I've got 1, 3, 5, 7, and 9.

And in the even set I've got 2, 4, 6, 8, and 10.

Did you think of any other numbers to add to the table? How did you get on with the second part of your task? Did you draw some representations of some odd and even numbers? Here are some examples.

So I've used beads, fingers, cubes, and ten-frames to represent different numbers.

So for the odd set, I've got 7 and 9 on the beads, and I've got 5 with fingers.

And I've got 1, 5 and 7 with cubes.

In the even set, I've got 6 and 8 with beads.

I've got 4 on fingers, and I've got 4 and 6 with cubes, and 10 on the ten-frame.

What did you draw to represent odd and even numbers and how could you check? Well done, we've got to the end of our lesson.

Today, we were ordering and sorting numbers into odd and even sets.

This is what we found out.

We can group representations of numbers according to whether they are made of pairs or not.

Numbers can be sorted into odds and evens.

Even numbers are made of pairs.

Odd numbers are not made of pairs, they have an extra block.

Well done, everyone.

See you next time.