Lesson video

Hello there mathematicians! It's me, Miss Charlton and Hedwig, and we're very excited about today's lesson.

Hedwig's my wonderful talk partner, and she's really going to help me with this lesson I think.

Have you got your talk partner ready as well? Now, let's find out what we're going to be doing.

I'm quite excited, cause the independent task is really fun today.

So today, we're going to understand even and odd as fair and unfair numbers.

So exploring even and odd.

We're going to investigate fair numbers and then we're going to investigate unfair numbers.

Then you'll do your independent task and your end of lesson quiz.

Today you're going to need a pencil and some paper, and you might need some scissors to cut out some pictures that I've provided for you.

But if you're using scissors, make sure you're very careful, or get an adult to help you, or you might like to use some counting objects instead, like cubes or coins or buttons or even raisins.

Let's start off with a brain teaser, I need to warm up my brain and get me all ready for the lesson.

I've got some equations here with some missing numbers, and our job is to fill in those missing numbers.

So have a look at the equations carefully, and see if you can think what missing numbers might be.

Have a look, and then we'll check together.

Let's go through them.

10 plus five is equal to 15.

There's one 10 and five ones.

10 plus seven is equal to 17.

One 10 and seven ones.

10 plus three is equal to 13.

On that one, we have the whole, and we had one of the parts, but the other part was missing, so it was a bit trickier.

And in the last one, again, we had a missing part.

I knew that answer was 19, and I knew the ones part was 10, so the missing part must've been the ones.

Nine plus 10 is equal to 19.

Hopefully you're all ready now and warmed up.

Let's go through our star words.

Get your hands ready, hands up star words.

Fair, unfair.

Equal, unequal.

So we're going to try and see if we can figure out what's fair today and what's unfair.

I bet lots of you have experienced things that are fair and unfair.

Now we have got a head teacher of a school called Mr. Smith, and he loves it when he sees the children playing in the playground very fairly.

So he likes to see the children playing football in fair teams. He likes the same number of children to be on each team.

The same number of children, that's a fair number, that's an equal number of children on each team.

But he likes to see a different total number of children playing each day.

Hm, that sounds a bit tricky, doesn't it? So he likes the same number on each team, he likes the teams to be fair, but he likes the total number of children to change each day.

Let's explore that a little bit further.

So, for example, on Monday, on the red team there were two children playing, and on the green team there we two children playing.

That's fair, oh look, there's our star word.

That is a fair, or an equal number, on each team.

But all together, there are four children playing.

Two plus two is equal to four.

Double two is equal to four.

Two players on each team, that's a fair, that's an equal number.

And then on Tuesday, how many children were on the red team? One, two, three.

How many children were on the green team? One, two, three.

Ah, are they equal? Yes, there's a fair number.

There's an equal number on each team.

But what's the total number of children who are playing football? Let's count them all together.

One, two, three, four, five, six.

The total is six.

So the total is different to the one before, because there are a different total number of children playing, but the number of children in each team is both the same.

It's fair, it is equal.

Now let's have a look at Wednesday.

How many children are on the red team? Can you count? You count, and then tell me your answer.

Ready, go.

Shout it at me, how many are on the red team? That's right, there are four children playing on the red team.

What about the green team? Count and shout at me.

Good, there are four children playing on the green team.

So, is that a fair number, an equal number, or is it unfair? Have a little think.

It is fair, well done, there's a fair number.

There's an equal number on each team.

And the total all together is eight.

Four plus four is equal to eight, that's doubling, that's adding the same number to itself.

Four plus four is equal to eight, both of those are fair.

So how do we explain that? If there are, hm let's have think, if there are four people on one team, then there are eight people all together, because that's four add four, that's doubling.

There are a fair number on each team.

So there needs to be the same number on each team to make it fair overall.

So if there are six people on one team, then there are 12 people all together.

So have a look at that carefully, let's see if you can use these sentences.

If there are six people on one team, then there are 12 people all together, because that's what? What am I adding together? Hm, have a little think, that's six add, what do I need to add to it? Six, well done, that's doubling.

And there are a fair number on each team.

Let me read that again.

If there are six people on one team, then there are 12 people all together, because that's six add six.

That's doubling, and there are a fair number on each team.

What about on this day then? Do you think Mr. Smith would be happy with what he saw? On Monday, how many children were on the red team? Let's count one, two, three.

Three children on the red team.

How many children on the green team? One, two, there were only two children on the green team.

There were five children all together, one, two, three, four, five.

Are the teams equal or unequal? Are they fair or unfair? Can you tell me? They are unfair, you're right.

Would you be happy if you only had two people on your team, and the other team had people? That would make it much trickier to play, wouldn't it? Let's have a look at Tuesday.

The total is three, how many children are on the red team? Two, how many children on the green team? There's just one child on the green team.

That's not fair, is it? That's unequal.

What about Wednesday? There are two children on the red team, and there are one, two, three, four, five, five children on the green team.

That's very unfair.

Oh, that's our star word, that's very unfair, isn't it? The total children playing all together is seven, but there are two children on the red team, and there are five children on the green team.

So we say that it is unfair or unequal.

Can you say that? Unfair, unequal.

Well done.

Now it's your job to have a little explore yourself.

You have been provided with a football pitch and some pictures of children.

Now don't worry if you can't access those, you can draw it yourself.

You'll just be able to copy this picture and draw it on a piece of paper, and then you can use the pictures of the children to cut out and help you, or you can use counting objects.

Now your job is to create a football team that is fair, with exploring lots of different numbers.

For example, you might have two children on one team, and three children on the other.

Let's have a look at that.

The total is five children, but there are two children on one team, and three children on another team.

So that is unfair, unequal, unequal well done.

Your job is to go through all of the numbers from one to 20, all the way up, to see which ones are equal, which ones are fair numbers and can be shared equally, and which ones are unfair numbers.

Once you've done that and gone through those numbers, come back and we'll check the fair numbers and the unfair numbers together.

How did everybody get on? Let's have a look.

So these ones are the fair, or equal, even numbers.

These are the ones where you can have the same number of players on each side of the football pitch.

Two, four, six, eight, 10, 12, 14, 16, 18, 20.

Those numbers can all be shared equally, they can be fair.

But these numbers on the other side are unfair, they are unequal, or odd numbers.

All of those words to describe it, I can hear some star words there, can you? So these numbers one, three, five, seven, nine, 11, 13, 15, 17, 19, those numbers cannot be shared equally, so they are unfair, they are unequal numbers.

I think you did a fantastic job today.

I really hope you enjoyed creating your own football pitch.

If you wanted to do the activity again, you could do it a different way.

You don't have to make a football pitch, you could make any other sporting pitch or you could make, draw two different cakes and pretend that the candles are on that.

There are loads of different ways you can explore with unfair or unequal or fair and equal numbers.

Should we explain to Hedwig what we did today? Say wakey, wakey, Hedwig.

Wakey, wakey, wakey, wakey, wakey.

Now Hedwig, what did we do today? Well, I had a great time exploring different numbers to identify which ones were fair or equal, which ones could be shared equally, and which numbers were unfair or odd numbers, and we know that those ones are the ones that cannot be shared equally.

I think it's important to know that, because if I'm trying to share with one friend, for example Hedwig, if I want to share something with you, if we had 19 acorns, do you think we'd be able to share those equally? Hedwig, I think you've done a really good job of learning, she must've understood, because she realised that 19 could not be shared equally.

What about, Hedwig, if we had 10 acorns each? Do you think we could share those equally? Oh, and she's nodding now, she knows that 10 can be shared equally between two groups or two people.

Oh, I think she did that without me even noticing.

Well done, Hedwig.

She did some really good listening there, didn't she? Well done everybody, you were fabulous today.

Go and do your quiz, and I'll see you again soon.

Bye bye!.