Lesson video

Hello, my name's Mrs. Hopper and I'm really looking forward to working with you in this lesson.

The lesson comes from our unit, Introduction to Division Structures, so we're going to be looking at how we can divide numbers up.

Are you ready to make a start? If you are, let's get going.

In this lesson, we're going to be learning that objects can be shared equally and we can share them between a number of different things, so if you're ready, let's make a start.

There are two key words in our lesson today.

Share and equally so I'll say them and then it'll be your turn.

Are you ready? My turn.

Share.

Your turn.

My turn.

Equally.

Your turn.

I'm sure you've got lots of experience of sharing things equally, but we're going to think about how that links to division today.

There are two parts to our lesson.

In the first part, we're going to be sharing equally, and in the second part we're going to be writing equations for sharing stories, so let's make a start with part one, and we've got Aisha and Jun helping us in our lesson today, and I think you're gonna meet some other characters today as well.

Six biscuits are shared equally between two dogs.

How many biscuits does each dog get? And we've got two dogs here helping us as well.

We've got Loki and Bandit.

Aisha says, "This is a different sort of problem.

When we've looked at division before this, we were trying to find the number of groups." And Jun says, "Here, we know the number of groups.

There will be two groups of biscuits because there are two dogs.

We are trying to find the size of each group.

How many biscuits does each dog get?" Aisha says, "The biscuits have to be shared equally." Jun says, "I'm going to give Loki a biscuit and then I'm going to give Bandit a biscuit.

I'll keep going until all the biscuits are gone", he says.

So one for Loki and one for Bandit.

Another for Loki, another for Bandit.

Another for Loki, and another bandit.

Aisha says, "Six shared equally between two is equal to three each." Let's have a look at another situation.

10 biscuits are shared equally between two dogs.

How many biscuits does each dog get? This time we've got Haggis and Piccolo.

Aisha says, "The biscuits have to be shared equally." And June says, "I'm going to give Haggis a biscuit and then I'm going to give Piccolo a biscuit, and I'll keep going until all of the biscuits are gone." Shall we watch? "10 shared equally between two is equal to five each." Can you see? Haggis has got five biscuits and Piccolo has got five biscuits.

Time to check your understanding.

Eight biscuits are shared equally between two dogs.

How many biscuits does each dog get? We've got Loki and Cooper here, and eight dog biscuits.

Aisha says, "Share the biscuits equally.

You could use cubes or counters to help you." Jun says, "Give each dog a biscuit and keep going until all of the biscuits are gone." Pause the video, have a go, and when you're ready for some feedback, press play.

How did you get on? Shall we share the biscuits? So we gave one biscuit to each dog until they were all gone.

"Eight shared equally between two is equal to four each." Loki and Cooper have each got four biscuits.

Let's have a look at another one.

12 biscuits are shared equally between two dogs.

How many biscuits does each dog get? We've got Loki and Bandit again.

Aisha says, "The biscuits have to be shared equally." Oh, Jun says, "I'm going to write a division equation to represent the problem." He's written 12 divided by two.

He says, "This is the whole." Our 12.

12 biscuits is the whole.

This time the two represents the number of dogs that we're sharing the biscuits between.

The number of groups.

So let's share the biscuits and see how many they get each.

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

12 shared equally between two is equal to six each.

So six is the size of each share.

We knew how many groups we were making this time because there were two dogs, and we were sharing between two dogs, but this time we were interested in the answer and that was the number of biscuits that each dog gets, so the answer was six.

Now we've got 10 biscuits shared equally between five dogs.

How many biscuits does each dog get? Which dogs have we got? We've got Loki, Bandit, Haggis, Piccolo, and Cooper.

All the dogs we've met so far, and there are 10 biscuits to share.

"The biscuits have to be shared equally", says Aisha, and Jun's going to write a division equation to represent the problem.

Can you think what it's going to look like? 10 divided by five.

What do those numbers represent? Well, 10 is the whole.

It represents all the biscuits that we're sharing, and five represents the number of dogs that we're sharing the biscuits between.

It's the number of groups we're making.

So let's share the biscuits.

Are you ready? One each.

Two each.

10 shared equally between five is equal to two biscuits each.

So two is the size of the share.

The number of biscuits in each of our five groups.

Time to check your understanding.

Six biscuits are shared equally between three dogs.

How many biscuits does each dog get? We've got Haggis, Piccolo, and Cooper, and six dog biscuits.

Aisha says, "Share the biscuits equally.

You could use cubes or counters to help you." And Jun says, "Complete the division equation to represent the problem." So what is our missing value going to be? Pause the video, have a go, and when you're ready for the answer and some feedback, press play.

How did you get on? So six was the whole.

The number of biscuits we had in total.

Three is the number of dogs that we're sharing the biscuits between.

The number of groups we're making.

So let's share the biscuits.

One each, two each.

Six shared equally between three is equal to two each.

So this is the size of each share.

The number of biscuits in each group.

It's time for you to do some practise.

Look at each problem, and how many biscuits does each dog get? Aisha says, "Represent each problem using counters or cubes" if you've got them to hand.

And Jun says, "Find the missing numbers and complete each equation." So in A, four biscuits are shared equally between two dogs.

In B, 14 biscuits are shared equally between two dogs.

In C, 15 biscuits are shared equally between five dogs, and in D, nine biscuits are shared equally between three dogs.

So pause the video, complete the stem sentences and the equations, and when you're ready for some feedback, press play.

How did you get on? So in A, four dog biscuits are shared equally between two dogs.

So there we have it.

Four shared equally between two is equal to two each.

Four divided by two is equal to two.

In B, we had 14 biscuits shared between two dogs.

14 shared equally between two is equal to seven each.

You can see seven dog biscuits in each group there.

14 divided by two is equal to seven, and this time we're thinking of that division symbol as meaning shared into two groups.

Shared between two dogs.

So 14 shared between two dogs is equal to seven dog biscuits each.

In C, 15 biscuits are shared between five dogs.

(gasps) Look at that.

They get three each.

15 shared equally between three is equal to three each.

15 divided into five groups means three in each group.

Three biscuits each.

And in D, nine biscuits are shared between three dogs.

Nine shared equally between three is equal to three each, and our division says nine divided by three is equal to three.

Nine was our total, three was the number of dogs we were sharing the biscuits between, and that is equal to three biscuits each.

Three in each group.

And on into the second part of our lesson.

We're going to be writing equations for sharing stories.

This time we've got some penguins.

16 fish are divided equally between two penguins.

How many fish does each penguin get? Aisha says, "The keeper wants to make sure that each penguin gets the same amount to eat." So they've got to have the same number of fish.

Jun says, "What division equation would represent this problem?" What's our whole and what are we sharing it between? Well, that's right.

16 divided by two is our division equation.

The number we start with is the whole.

That's the whole number of fish.

And there it is.

16.

What's the two representing then? That's right, it's representing the number of penguins we're sharing the fish between.

It's the number of groups we're making.

And this is the size of each share.

The number of fish that will be in each group.

Aisha says, "There's a lot of fish to share out.

This could take some time to solve." Jun says, "We could use tallying to help with the problem." So we haven't got 16 fish.

They might be a bit smelly, mightn't they? But we could tally up how many fish each penguin will get, and if you used tallying before, we do four lines, one, two, three, four, and then we put a cross across them to show five, so we collect groups of five marks.

Let's have a look.

Jun says, "I'll count up and make a mark for each number." So are you ready? We've got 16 fish, so we're gonna count up to 16.

One, two, three, four, five, six, seven, eight, nine, 10.

Putting the bars across 'cause we've got to five now.

11, 12, 13, 14, 15, 16.

So we've counted up to 16, which was our total number of fish, and we've shared them equally between the two penguins, and we've made a mark to represent each fish.

16 shared equally between two is equal to eight each, and you can see we've got our five and three more for each penguin.

Five, six, seven, eight.

So 16 divided by two is equal to eight, and our eight represents the number of fish in each group.

Oh, we've got some mice now.

25 nuts are divided equally between five mice.

How many nuts does each mouse get? Aisha says, "Let's write a division equation to represent this problem." Can you think what the division equation's going to look like? And Jun says, "And we're starting with 25 and sharing it equally between five." Does that give you a clue? Ah, we've got 25 divided by five.

Let's remind ourselves what those numbers represent.

25 is the whole, the number of nuts we're starting with, and five is the number of mice we're sharing the nuts between, and our missing number is the size of each share.

How many nuts will each mouse get? Aisha says, "I'll use to find the size of each share." I think that'll be quicker, won't it? Than trying to find 25 things to share out.

June says, "You'll need to count up as you tally.

Remember to stop at 25, 'cause we've only got 25 nuts." Are you ready to count? One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.

(gasps) We've shared out all the nuts.

We've made a tally for each nut, and can you see that we've used four sticks and one to cross it to show 5? 25 shared equally between five is equal to five each, so 25 nuts shared between five mice is equal to five nuts each.

The number of nuts in each group is five.

Time to check your understanding.

12 nuts are divided equally between three mice.

How many nuts does each mouse get? Aisha says, "What division equation would you use to work out the size of each group?" We know we're making three groups 'cause we've got three mice.

What's the whole? How many is the whole being shared between? Ah, well we know our whole is 12 and it's being shared between three mice.

12 nuts shared between three mice.

So work out the size of each share.

You might want to use tallying to help you.

Pause the video, have a go, and when you're ready for some feedback and answers, press play.

How did you get on? Did you use counters or tallying to help you work out the answer? We've used tallying.

Are you ready? One, two, three, four, five, six, seven, eight, nine, 10, 11, 12.

So we've shared all the 12 nuts out.

How many does each mouse get? 12 shared equally between three is equal to four each.

Each mouse gets four nuts.

And time for you to do some practise.

Can you write an equation for each problem and work out the size of each share? You could use some counters or cubes to represent each problem, or you could use tallying to help you.

So in A, 20 fish are shared equally between five penguins, in B, 18 nuts are divided equally between two mice, in C, 15 biscuits are shared equally between three dogs, in D, 30 nuts are divided equally between five mice, in E, 18 fish are shared equally between three penguins, and in F, 24 biscuits are divided equally between two dogs.

I think tallying might be good 'cause there's quite a lot of nuts, and fish, and biscuits there, aren't there? Pause the video, have a go, and when you are ready for some feedback, press play.

How did you get on? So here are the answers.

So for A, 20 fish shared equally between five penguins, we've used tallying here.

20 was our whole number of fish divided between five penguins is equal to four fish each, and you can see that in our tallies.

20 divided by five is equal to four.

In B, 18 nuts are divided equally between two mice.

Ooh, they get a lot of nuts each, don't they? 18 was our whole, divided between two mice, so divided into two groups, and there's nine nuts in each group, so each mouse will get nine nuts.

18 divided by two is equal to nine.

In C, 15 biscuits are shared equally between three dogs.

Can you remember the names of the dogs? I think the little one was called Piccolo, wasn't he? So our equation is 15 divided by three is equal to five.

15 biscuits was our whole, divided or shared between three dogs, so we were making three groups, and there are five biscuits in each group, so 15 divided by three is equal to five.

In D, 30 nuts are divided equally between five mice, and there are the mice and we've given a tally for each nut.

So 30 nuts was our whole and we shared them between five mice, so 30 divided by five is equal to six.

They get six nuts each.

In E, 18 fish shared equally between three penguins.

So 18 divided by three is equal to six.

18 was our whole and we shared it between three penguins, and they got six fish each.

And in F, 24 biscuits are divided equally between two dogs.

I think these are very lucky dogs aren't they? Look at that.

Five and five and two more.

12 each.

24 was our whole, we shared it between two dogs, and they got 12 biscuits each.

24 divided by two is equal to 12.

Well done.

I hope you had fun sharing out all that food between all those animals, and we've come to the end of our lesson.

We've been explaining that objects can be shared equally.

We've learned that objects can be shared into a number of groups and that the division symbol is used to represent sharing.

Thank you for all your hard work and your animal feeding today.

I hope you've enjoyed the lesson and I hope I get to work with you again soon.

Bye-Bye.