Lesson video

Hello everyone.

Welcome back to another maths lesson with me, Mrs. Pocho.

I can't wait for us to have lots of fun together and hopefully learn lots of new things.

So let's get started.

This lesson is called Explain How Times Table Facts can help us to find the quotient with a focus on the 10 times table and it comes from the unit doubling, halving, quantitative, and partitive division.

By the end of this lesson, you should be able to explain how 10 times table facts can help us define the number of groups or the number in each group.

Let's have a look at our keywords.

Divisor and divide.

Let's practise them.

My turn, divisor, your turn.

My turn, divide, your turn.

Fantastic.

Let's get started then.

Here is our lesson outline.

In the first part of our learning, we are going to be finding the number of groups when the divisor is 10 and in the second part of our learning we're going to use this knowledge to solve problems in context.

Let's get started then with finding the number of groups when the divisor is 10.

Jacob and Sofia are back to help us with our learning again.

Are you ready guys? Let's get started.

Sofia and Jacob are explaining what they can see.

Jacob can see that they have 30 counters altogether.

How did you know that Jacob? We can see that there are three groups of 10.

Oh yes, so we can.

So we can record this as three times by 10 is equal to 30 or we could see this as ten three times and record this as 10 times by three is equal to 30.

30 represents the total number of counters.

10 represents the size of the groups, and three represents the number of groups.

Jacob notices that he could also record this as a different equation.

What do you think you could record it as, Jacob? Oh, 30 divided by 10 is equal to three.

Hmm.

What do you think about that Sofia? Let's have a check.

30 is our whole divided into groups of 10.

We can make three groups, we can.

Well done Jacob, that's a great spot and thank you to Sofia for checking it for us.

We can call this a related division fact because it uses the same information from the multiplication as it does in the division.

If the divisors is 10, we can use the 10 times table to find the number of groups.

Three tens are equal to 30.

So 30 divided into groups of 10 is equal to three.

Yes, that's right Sofia.

You can use your times tables to help you to solve divisions.

10, 20, 30, three groups of 10 is equal to 30 or 10 three times is equal to 30.

But we can use this knowledge to then see that 30 divided by 10 will be equal to three.

Look how simple that is.

Jacob decides to use this knowledge to help him to solve this problem.

40 is our whole and we are dividing 40 into groups of 10 like this.

Jacob knows that four tens are equal to 40 or four times 10 is equal to 40.

So 40 divided into groups of 10 must be equal to four.

Well done Jacob.

It's a really useful skill, isn't it? How easy was that division to solve using that knowledge? Over to you then for a practise, use your 10 times table knowledge to help you solve this division problem.

We've also got that stem sentence there to help you.

I know that mm tens are equal to 50, so 50 divided into groups of 10 is equal to mm and you can see that I've written the equations there for you to complete to help you explain.

Pause this video and come on back when you can tell me what 50 divided by 10 is using the knowledge that we've used.

Welcome back.

Let's have a look then.

We know that 50 is our whole and we are dividing 50 into groups of 10.

We know that five tens are equal to 50, so 50 divided into groups of 10 must be equal to five.

Wow.

Do you see how easy divisions can be when we use our times table knowledge to help us? Let's continue to practise this skill in task A.

Task A part one is to fill in the missing numbers to complete the division equations.

So you can see that you've been given the multiplication equations at the top.

So use that knowledge to help you find the missing parts of the division.

Part two is to use your knowledge to then complete these division equations.

Do you notice any patterns when you are finished or maybe when you are completing these equations that can help you? And part three is to fill in the missing numbers to complete these equations.

Now you can see that there are lots of different missing parts in these equations, so make sure you look carefully as to what equation and what part of that equation you are trying to find.

Pause this video and come on wack when you're ready to see how you've got on.

Welcome back.

Let's have a look then.

Part one was to fill in the missing numbers to complete their division equations.

So six times by 10 is equal to 60.

So 60 divided by 10 is equal to six.

Well done.

10 times by five is equal to 50.

So 50 divided by 10 is equal to five because we know it's those five groups of 10.

And eight times by 10 is equal to 80.

So 80 divided by 10 must be equal to eight.

Eight groups of 10 are equal to 80.

So if I divide that 80 into 10 groups, I'm going to have eight of them.

Well done for completing part one.

Part two is to use your knowledge to complete these equations and explain if you noticed any patterns.

Let's have a look then.

Jacob completed the first four.

He noticed that each time the hole increases by 10.

So there's going to be another group of 10 that can be made.

Of course, 10 divided by 10 is equal to one.

20 which is another 10.

20 divided by 10 is equal to two.

30 is another 10.

So that's another group.

So it's 1, 2, 3, and 40 is another 10.

So that goes up by one.

One more group.

Well done.

Did you manage to solve the second four, Jacob? Yes, he did.

And each time this time he noticed that they decreased by 10.

So there was one less group of 10 that could be made.

120 divided by 10 is equal to 12.

Then we went to 110, which was 10 less.

So that was one less group, which was 11.

100 divided by 10 is equal to 10 and 90 divided by 10.

That was 10 less than 100.

So that was one less group, which is nine.

Well done if you completed part two and notice that pattern.

And three, we had to fill in the missing numbers.

Now the, we had to look carefully at what parts were missing here.

We know that three tens are equal to 30, so 30 divided by 10 must be equal to three.

Well done if you've got that one.

B, we had our multiplication, which was 15 times by 10 is equal to 150.

So we could use that knowledge to then solve 150 divided by 10, which we know is equal to 15.

Well done.

Now C, we didn't have a multiplication at all.

So how did you solve this Sofia? Sofia noticed that 70 was our whole in our division, so she knows that seven times 10 is equal to 70.

So 70 divided by 10 will be equal to seven.

Well done to you for completing task A.

Let's have a look then at the second part of our learning.

To solve problems in context, we are returning back to Sofia and Jacob at their local theme park and to see what problems they might face now.

Each boat on the crazy pirate ride holds 10 people.

There are 20 people waiting to ride.

How many boats will be needed? Sofia records the equation like this.

She knows that 20 is our whole and each boat holds 10 people.

So that's our group size.

So we are dividing 20 into groups of 10.

The answer will be the number of groups that we can make that would tell us how many boats we need to fit all 20 people in.

Sofia uses her 10 times table chart to help her here and she notices that two tens are equal to 20.

So if two tens are equal to 20, 20 divided into groups of 10 is equal to two, we can make two groups of 10.

So that means that two boats would be needed for 20 people to ride the crazy pirates ride.

Over to you then.

How many boats would we need for 60 people? You might want to use your Times table chart here to help you, but if you already know the Times table facts, then you probably won't need it.

Pause this video.

Have a go at finding out how many boats we would need for 60 people to ride the crazy pirate ride and come on back when you are ready to see how you got on.

Welcome back.

Let's have a look at how Sofia got on.

Sofia notices that six tens are equal to 60 so she can use this knowledge to help now solve the division.

If six tens are equal to 60, then 60 divided into groups of 10 must be equal to six.

That means that we will need six boats for the 60 people to ride the crazy pirates ride.

Well done to you if you said that six boats would be needed.

Sofia now takes a trip to the food station and at the food station she can see 50 candied apples are ready to be bagged up.

They're shared between 10 bags.

How many apples will be in each bag? Sofia notices that this problem is slightly different to the ones that we've looked at already.

50 is still our whole, but this time we are sharing 50 between 10 groups rather than grouping them into groups of 10.

So this time when we complete the equation, it won't be the number of groups that we can make.

It will actually be the size of each share.

Sofia notices that because 10 is still our divisor, we can still use our 10 times table knowledge to find the size of each share.

Sofia notices that five times by 10 is equal to 50, so 50 divided by 10 will be equal to five.

10 bags, but there will be five candied apples in each of them.

Well done Sofia for noticing that we can still apply this strategy when we are sharing.

Over to you then for the next check.

We've now got 110 candied apples that are ready to be bagged up.

If they're shared between 10 bags, how many apples will be in each bag? You might want to use your multiplication charts here or you might know the facts yourselves.

Record the equation and tell me how many apples will be in each bag when we share them between 10 bags.

Come on back when you are ready to find out how you've got on.

Welcome back.

Let's have a look then.

This time our whole is 110 and we are dividing 110 between 10 groups.

We know that 11 tens are equal to 110, so 110 divided by 10 will be equal to 11.

In each of the 10 bags will be 11 candied apples.

Let's continue to practise this again with task B.

Task B, we're back at the prize pavilion.

Let's see if we can help Sofia and Jacob to solve the problems that they face.

Part one is to record each problem as an equation and solve the problem using your knowledge of the 10 times table.

So we have A, on The Basket Bonanza, Jacob scores 120 points, how many 10 point baskets must Jacob have scored? And B, the Crazy Cups are stacked away in the end of the day.

There are 100 cups and they are sorted into 10 equal piles.

How many cups will be in each pile? And part two is to have a look at two different methods to solve a problem.

Which one do you think is correct and why? The theme park have 40 metres of rope and they want to cut it into 10 equal pieces.

Method one is they take 40 metres of rope and they cut off 10 metre pieces at a time, 40 metres in total.

10 metre piece chop, one 10 is equal to 10.

Chop, two tens are equal to 20.

Chop, three tens are equal to 30 and finally four tens are equal to 40.

Have they divided the rope into 10 equal pieces here? Method two, they take the 40 metre rope and write four times by 10 is equal to 40, so 40 divided by 10 will be equal to four.

Each piece needs to be four metres long, so they cut four metre pieces off each time, four metres, chop, four metres, chop, four metres and another and another and another four metres and another four metres, another four metres, another four metres, and finally four metres left.

Have they divided the rope into 10 equal pieces here? Hmm, have a look then.

Method one or method two, which one is correct and why.

Pause this video.

Have a go at part one and have a look at part two to decide which method is correct and come on back when you're ready to see how you've got on.

Welcome back.

Let's have a look then at part one.

Part one on the Basket Bonanza, Jacob scores 120 points.

So how many 10 point baskets must Jacob has scored? 120 is our whole and each basket is worth 10 points.

So we can see this as 120 divided by 10.

Using our times table chart, we can see that 12 times by 10 is equal to 120.

So 120 divided into groups of 10 is equal to 12.

So Jacob must have scored 12 ten point baskets to score 120 points.

Well done Sofia and well done to you if you got that correct.

1b, the Crazy Cups are stacked away at the end of the day, they are sorted into 10 equal piles.

How many cups will be in each pile? 100 is our whole and we are putting them into 10 groups.

So we are sharing 10 between 10 groups, which is 100 divided by 10 is equal to something.

We can see that 10 times by 10 is equal to 100.

So 100 divided between 10 equal piles will be equal to 10 cooks in each pile.

100 cups will be put into 10 equal piles of 10 cups.

Well done to you and well done to Sofia if you got that correct.

Now part two is to have a look at our two methods, which method divided the rope into 10 equal pieces.

We can see that method one, they cut them into 10 metre lengths, but this hasn't given them 10 equal pieces.

There's only four pieces there, isn't there? Method two, they cut them into four metre lengths because they worked out the calculation that four times by 10 was equal to 40, so 40 divided by 10 would be equal to four.

This has then given them 10 equal pieces.

So method two was the correct method because they needed 10 equal pieces, not pieces of 10 metres.

Well done to you if you said that method two was correct and well done for completing Task B.

Let's have a look at what we've covered in our learning today.

When we are dividing by 10, you can use the 10 times table to find the number of groups or the number in each group.

Here's an example.

Three tens are equal to 30, so 30 divided into groups of 10 is equal to three.

Three tens is equal to 30, so 30 divided into 10 groups is equal to three in each group.

Well done for all of your hard work today, and I'm hoping you can see how you can use your Times tables to really confidently solve divisions.

I can't wait to see you all again soon for some more learning.

See you soon.