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.

So, in this lesson we're going to be skip counting to find a group size in a sharing problem.

So you might have been doing some sharing recently, handing things out one at a time, but we might have thought a little bit about how skip counting can help us.

So in this lesson we're going to use skip counting to help us to find the size of a group when we solve a problem involving sharing.

There are two key words in our lesson.

We've got "share" and "equally." So I'll take my turn and then it'll be your turn.

Are you ready? My turn.

Share.

Your turn.

My turn.

Equally.

Your turn.

Excellent.

I hope you're very good at sharing things equally.

We're going to be doing a lot of it in our lesson today.

So let's make a start.

There are two parts to our lesson.

In the first part, we're going to be using skip counting.

And in the second part, we're going to be using skip counting in a range of contexts to solve some different problems. So let's get going on part one.

And we've got Aisha and Jun helping us in our lesson today.

Aisha is thinking about a quick way to solve a problem.

"I need to share 14 biscuits equally between Piccolo and Cooper," she says.

And there are Piccolo and Cooper waiting patiently for their biscuits.

Jun says, "Let's use skip counting.

We count in twos because there are two dogs to share between." If we count two biscuits, they can have one each, can't they? Should we count? Are you ready? Let's go.

2, 4, 6, 8, 10, 12, 14.

We've shared all the biscuits, haven't we? "How many biscuits does each dog get though," says Aisha.

Well Jun says, "We made seven counts of two." Can you see seven jumps of two along the number line? Piccolo gets one biscuit from each count.

So there are Piccolo's biscuits.

We made seven counts of two.

Cooper gets one biscuit from each count.

Can you see the one that he gets from each of the counts? "Ah," says Aisha.

"So each dog gets seven biscuits." We shared out biscuits seven times, but we did them two at a time.

So each dog got one biscuit at a time.

14 divided by two is equal to seven.

14 represents the whole group of dog biscuits.

Two represents the number of dogs we are sharing the biscuits between.

And seven is the size of the share.

It's also the number of times we counted two.

Here's another problem, 35 nuts are shared equally between five mice.

And Aisha needs to share them equally.

Jun says, "Let's use skip counting.

We count in fives because there are five mice." So you ready to count in fives? Let's go.

5, 10, 15, 20, 25, 30, 35.

Each time we counted five, five of the nuts appeared on our number line, didn't they? So we've counted seven groups of five.

"How many nuts does each of the mice get though," says Aisha.

Can you see? And Jun says, "We made seven counts of five.

Each mouse gets one nut from each count of five." Let's have a look.

There we go.

There's the nuts for that mouse and for that mouse and that one and that one and that one.

Each mouse gets one nut every time we count five.

So how many times did we count five? Ah, it was seven times, wasn't it? Seven lots of five are equal to 35.

So we had to count seven lots of five to use all the 35 nuts.

So each mouse gets seven nuts.

35 divided by five is equal to seven.

35 is the whole, all the nuts we started with, we divide by five.

This is the number of mice we're sharing the nuts between.

And this is the size of the share.

The number of times we counted five to get up to 35.

And each time each mouse got one nut.

So each one gets seven.

Right this time 15 biscuits are shared equally between five dogs.

And we've got Loki, Bandit, Haggis, Piccolo and Cooper waiting patiently for their biscuits.

Aisha says, "Let's use skip counting." And Jun says, "We count in fives because there are five dogs." Are you ready to count? 5, 10, 15.

Ah, how many times did we count? Well let's check your understanding.

How many biscuits does each of the dogs get? And Jun says, "Remember the size of the share is the number of times you've counted." So pause the video, work out how many biscuits each dog gets and when you're ready for the answer and some feedback, press play.

How did you get on? Well Jun says, "We made three counts of five.

So each dog gets one biscuit from each count of five." So there are Loki's biscuits, Bandit's biscuits, Haggis's biscuits, Piccolo's biscuits, and Cooper's biscuits.

So how many biscuits did they each get? Each dog gets three biscuits.

Time to check your understanding again.

15 biscuits, they're shared equally between five dogs.

Write a division equation to match this problem.

Pause the video, have a go.

And when you are ready for some feedback, press play.

How did you get on? That's right, it was 15 % 5 = 3.

What do those numbers represent? 15 is the whole, the number of biscuits we were sharing.

We divide by five because we are sharing the biscuits between five dogs.

So that's the number of dogs.

So what's the three then? Well that's the size of each share.

Each time we counted five, each dog got one biscuit and we counted three times: 5, 10, 15.

So each dog got three biscuits.

"15 biscuits shared between five dogs is equal to three biscuits each." And that's how we can read our division equation when we're thinking about sharing.

Time for you to do some practise.

You are going to use skip counting to answer each problem and to complete each division equation.

So in a, 18 nuts are shared equally between two mice.

So think about what you're going to skip count in to solve the problem.

And Aisha says, "Use number line to count up in twos or fives." And Jun says, "How many steps of two will you make on the number line?" Oh, he's given you a clue there for a hasn't he? In b, 30 biscuits are shared equally between five dogs.

In c, 45 nuts are shared equally between five mice.

And in question two, you're going to use skip counting to answer each problem.

There are 20 biscuits.

How many biscuits would each dog get if, in a, there are two dogs; in b, there are five dogs; and in c, there were 10 dogs? And Aisha says, "Each question starts with the same number of biscuits." "It's the number of dogs that changes," says Jun.

And there are some number lines to help you with your skip counting.

So pause the video, have a go at solving the problems. And when you're ready for the answers and some feedback, press play.

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

In a, 18 nuts are shared equally between two mice.

So we count in twos: 2, 4, 6, 8, 10, 12, 14, 16, 18.

And Aisha says, "There's nine counts of two.

Each mouse gets one nut from each count of two." And on to b.

This time there were 30 dog biscuits shared equally between five dogs.

So we're going to skip counting fives.

5, 10, 15, 20, 25, 30.

And Aisha says, "There's six counts of five.

Each dog gets one biscuit from each count." So each dog gets six biscuits.

30 divided by five is equal to six.

And, in c, 45 nuts are shared equally between five mice.

So if we count in fives: 5, 10, 15, 20, 25, 30, 35, 40, 45.

That's nine counts.

"There's nine counts of five.

Each mouse gets one nut from each count of five." So each mouse gets nine nuts.

45 shared between five mice is equal to nine nuts each.

And in question two, remember we have the same number of dog biscuits for each part, but the number of dogs changed.

So, in a, there were two dogs.

So each dog gets 10 biscuits.

If we count up in twos to 20, there's going to be 10 counts of two.

So each dog gets one biscuit from each count of two.

So each dog gets 10 biscuits.

What about b? This time there were five dogs.

Each dog gets four biscuits.

If we count up to 20 and fives: 5, 10, 15, 20.

That's four counts of five.

So each dog gets one biscuit from each count.

So they get four biscuits each.

20 divided by five is equal to four.

And, in c, there were 10 dogs.

So each dog gets two biscuits.

If we count up to 20 in tens: 10, 20.

There's only two counts.

And each dog gets one biscuit from each count.

So they get two biscuits each.

There's two counts of 10.

Each dog gets one biscuit from each count of 10.

20 shared between 10 dogs is equal to two biscuits each.

And on into the second part of our lesson.

We're going to use skip counting again, but in some different contexts.

Are you ready? We've got mice and nuts again to start with.

There are two mice and they share 12 nuts.

"How many nuts does each mouse get?" And Jun says, "We count in steps of two because there are two mice and we stop the count at 12 'cause we've got 12 nuts." So are you ready? 2, 4, 6, 8, 10, 12.

How many counts of two did we make? "There's six counts of two.

Each mouse gets six nuts." 12 nuts shared between two mice is equal to six.

12 divided by two is equal to six.

Now we've got some penguins and some fish.

So there are 10 penguins and they share 40 fish.

"How many fish does each penguin get?" What are we going to skip count in this time? Jun says, "We count in steps of 10 because there are 10 penguins and we stop the count at 40." So we need to know how many tens we've counted.

Let's keep track on our fingers as well this time.

We've got the number line to help us too, but let's count along.

Are you ready? 10, 20, 30, 40.

How many was that? And Aisha says, "There's four counts of 10." And remember each penguin gets one of the fish from each of the counts.

So each penguin gets four fish.

The number of fish they get is equal to the number of counts of 10 we made.

40 fish shared between 10 penguins is equal to four fish each.

40 divided by 10 is equal to four.

Time to check your understanding.

There are 10 penguins and they share 30 fish.

I wonder if you can use your fingers to keep track of the count.

"How many fish does each penguin get?" So what steps will you count in and when will you stop the count? And Aisha says, "Which division equation matches this problem?" So pause the video, have a go at working out how many fish each penguin will get.

And when you're ready for some feedback, press play.

How did you get on? Jun says, "Well there's 10 penguins, so you should have counted in tens.

And the count stops at 30." So we could use a number line.

We can count along.

Are you ready? 10, 20, 30.

How many counts? Aisha says, "That's three counts of 10.

Each penguin gets three fish." So what's the division equation? That's right.

30 fish shared between 10 penguins is equal to three fish each.

30 divided by 10 is equal to three.

So how many biscuits does each dog get? We've got five dogs here, haven't we? Can you remember their names? I'm not sure I can remember them all.

Aisha says, "There are two packets of five biscuits." Hmm.

Oh, she says, "Two times five is equal to 10.

There are 10 biscuits altogether." And Jun says, "We can count in fives because there are five dogs." So we've got a number line there to help us.

Are you ready to count? 5, 10.

Ah, so how many counts of five did we make? That's right.

Aisha says, "Each dog gets two biscuits." 10 biscuits shared between five dogs is equal to two biscuits each.

10 divided by five is equal to two.

And Jun says, "Each dog gets one biscuit from each pack." That works, doesn't it? Two packs of five.

Five dogs.

One biscuit from each pack.

So you can see there, our first dog gets one biscuit from each pack.

So, this time, we are looking at how many cubes of cheese each mouse gets.

And Aisha says, "There are four piles of cheese with two cubes in each pile." So how many cubes of cheese have we got? Oh, she says, "Four times two is equal to eight.

There are eight cubes of cheese altogether." And Jun says, "We count in twos, because there are two mice." Are you ready to count? 2, 4, 6, 8.

So how many cubes of cheese does each mouse get? "Each mouse gets four cubes of cheese," says Aisha.

We made four counts of two didn't we? And each time we make a count of two, each mouse gets one cube of cheese.

So eight cubes of cheese shared between two mice is equal to four cubes of cheese each.

Eight divided by two is equal to four.

"Each mouse gets one cube from each pile." So there are the cubes for the first mouse and the other four cubes would go to the other mouse.

Ooh, we've got pandas this time.

How many pieces of bamboo does each panda get? "There are 10 pieces of bamboo in each bunch." How many bunches have we got? 1, 2, 3, 4, 5.

So five times 10 is equal to 50.

"There are 50 pieces of bamboo altogether." How many pandas have we got? Ah, there are 10 pandas.

So we count in tens, because there are 10 pandas.

So are you ready to count up to 50 in tens? 10, 20, 30, 40, 50.

How many pieces of bamboo does each panda get? Aisha says, "Each panda gets five pieces of bamboo." 50 pieces of bamboo shared between 10 pandas is equal to five pieces of bamboo each.

50 divided by 10 is equal to five.

"Each panda gets one piece of bamboo from each bunch." I hope they enjoyed their bamboo.

I know that pandas like to eat bamboo.

Time to check your understanding.

There are 10 pandas and two bunches of bamboo and each bunch of bamboo has 10 pieces in it.

So we can work out how many pieces of bamboo there are altogether.

How many pieces of bamboo does each panda get? Pause the video.

Work out how much bamboo each panda can eat.

And then when you're ready for some feedback, press play.

How did you get on? Well Aisha says there are two bunches of bamboo and 10 in each bunch.

So 20 pieces of bamboo altogether.

Two times 10 is equal to 20.

And then we're going to count in tens because there are 10 pandas.

10, 20.

Two counts of 10.

So how much does each panda get? Each panda gets two pieces of bamboo.

One piece from each count.

20 pieces of bamboo shared between 10 pandas is equal to two pieces of bamboo each.

20 divided by 10 is equal to two.

Each panda gets one piece of bamboo from each bunch.

Okay, so we are going to do one together and then you are going to have a go on your own.

Aisha shares out some counters.

Ah, she shared her counters already between five pandas.

What division equation describes how Aisha shared the counters? Hmm.

Can you have a think about that? This time we know the answer, don't we? So what was she doing? So something divided by something is equal to something.

Our whole shared between a number of pandas is equal to the number of counters each panda got.

So the total number of counters was 15.

We've got three five times.

So we've got 15 counters.

What have we shared them between? Well we shared them between five pandas.

So that's the number of pandas sharing the counters.

15 divided by five, 15 counters shared between five pandas.

And we can see how many they got each.

That's right, they got three each.

The number of counters each panda has.

So we can write the division equation that shows what's happened in that situation.

Time to check your understanding.

Can you do the same thing? Jun shares out some counters.

There are the counters shared out.

What division equation describes how Jun shared the counters? Can you fill in the gaps? Pause the video, have a go.

And when you're ready for some feedback, press play.

How did you get on? Did you spot that 10 was our total number of counters? We've got two lots of five there, haven't we? So you might have counted them up in skip counts of five or you might have counted them all.

But we had 10 counters.

How many has he shared them between? There's two pandas, aren't there? So the number of pandas sharing the counters is two.

10 counters shared between two pandas, 10 divided by two.

How many counters has each panda got? They've got five each, haven't they? So that's equal to five.

The number of counters each panda has.

Well done if you've got that right.

And time for you to do some practise.

You are going to use skip counting to answer each problem and you're going to then complete each division equation.

So in a, two mice share 16 nuts between them.

Each mouse gets hmm nuts and there's the division for you to write.

And Aisha says, "Use the number line to count up in twos or fives." Make sure you work out what it is your skip counting in to solve the problem.

And Jun's reminding you, "The size of the share is the number of times you've counted." In b, five dogs share 25 biscuits between them.

And in c, 10 penguins share 60 fish between them.

Then, in question two, we've got 10 pandas sharing some bamboo.

And bamboo comes in bunches of 10 pieces.

So, in a, there are seven bunches of bamboo.

In b, there are nine bunches of bamboo.

And, in c, there are 10 bunches of bamboo.

And you need to work out how many pieces of bamboo each panda gets in each case.

And in question three, Aisha and Jun have shared out some counters.

They've done the sharing already.

So what division equation describes how the counters are shared? And Aisha's saying, "Remember to start with the total number of counters." So pause the video, have a go at your tasks and when you're ready for some feedback, press play.

How did you get on? So, in a, two mice share 16 nuts between them.

Each mouse gets eight nuts.

2, 4, 6, 8, 10, 12, 14, 16 is eight counts of two.

So 16 nuts shared between two mice is equal to eight nuts each.

And we count in steps of two because there are two mice and there are eight steps of two.

In b, five dogs share 25 biscuits between them.

So each dog gets five biscuits.

You can see there are five counts of five when we count in fives up to 25.

What a lot of fives in that sentence.

"There are five steps of five," says Jun.

So each dog will get one biscuit from each step.

So they get 5.

25 divided by five is equal to five.

In c, 10 penguins share 60 fish between them.

So this time we're skip counting in tens because we've got 10 penguins.

There are six steps of 10.

So each penguin gets six fish.

60 divided by 10 is equal to six.

So, in two, we had bunches of bamboo.

In a, there are seven bunches of bamboo.

And we know that bamboo comes in bunches of 10.

So that's 70 pieces of bamboo.

So we're going to skip count up to 70 in tens.

And that's seven counts.

So each panda gets seven pieces of bamboo.

In b, there are nine bunches of bamboo.

So that's 90 pieces.

So we need to skip count up to 90 in tens 'cause there are 10 pandas and that's nine counts.

So each panda gets nine pieces of bamboo.

And, in c, there are 10 bunches of bamboo.

10 times 10 is equal to a hundred.

So there are a hundred pieces of bamboo.

And if we skip count in tens, we count 10 times.

So each panda gets 10 pieces of bamboo.

100 pieces of bamboo shared between 10 pandas is equal to 10 pieces each.

A hundred divided by 10 is equal to 10.

And in three, you had to work out the division equations.

And Jun said, "Start with the total number of counters." And Aisha says, "Divide the whole by the number of pandas, penguins or mice." So, in a, we had our three pandas and they got two counters each.

So there were six in total.

Six divided by three is equal to two.

Six counters shared between three pandas is equal to two each.

In b, we had five penguins and they each got four counters.

So if we count up all the counters, we've got 20 counters.

And they're shared between five penguins and there were four each.

So 20 divided by five is equal to four.

And, in c, oh, look at that, we had 10 mice and they each had one counter.

So there were 10 counters altogether shared between 10 mice and they got one counter each.

So 10 divided by 10 is equal to one.

Well done for all your hard work.

I hope you had fun sorting out those division equations and sharing out the food between the animals again.

And we come to the end of our lesson.

So we've been skip counting to find the group size in a sharing problem.

We've learned that skip counting can help to solve a sharing problem.

We learned that the whole is shared equally with one object from each count being given to each group.

And the size of each share is the number of times you've counted.

Thank you for all your hard work.

I hope you've enjoyed skip counting to solve problems today and I hope I get to work with you again soon.

Bye-bye.