Lesson video

Hello, everyone, welcome back to another maths lesson with me, Mrs. Pochciol.

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 to find the quotient with a focus on the 5 times table.

And it comes from the unit doubling, halving, quotative, and partitive division.

By the end of this lesson, you should be able to explain how 5 times table facts can help us to find the number of groups or the number in each group.

Here are today's keywords, divisor and divide.

Let's practise them.

My turn, divisor, your turn.

My turn, divide, your turn.

Fabulous, now that we've said them, let's use them.

Here is the lesson outlined for this lesson.

In the first part of our learning, we are going to be finding the number of groups when the divisor is 5 and in the second part of our learning we are going to be solving problems in context.

So let's get started with finding the number of groups when the divisor is 5.

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

Hi guys.

Are you ready to get started? Are you ready to get started? Let's go.

Sofia and Jacob are explaining what they can see.

We can see that we have 15 counters all together.

How did you work that out, Jacob? Jacob can see that there are three groups of 5, so we can see this as 3 times 5 is equal to 15 or we might see this as 5 three times is equal to 15 and record it as 5 times by 3 is equal to 15.

15 represents the total number of counters.

5 represents the size of the group and 3 represents the number of groups.

Jacob thinks he can also record another equation for this representation.

Hmm, what do you think he might record? He records 15 divided by 5 is equal to 3.

Remember we call this a related division fact.

Let's check that one, Sofia.

We can see that 15 is our whole, we are dividing into groups of 5, one, two, three and there are three groups of 5.

Well done Sofia, and well done.

Jacob.

That is of course correct.

It uses the same numbers, so we call it our related division fact.

So yes, that division also represents that array.

Well done guys.

So just like we did with our 10 times table, this time, if our deviser is 5, we can use the 5 times table to find the number of groups.

Three 5 are equal to 15.

So 15 divided into groups of 5 will be equal to 3.

Remember, we can use our times table facts to solve divisions, five, ten, 15.

Three groups of 5 is equal to 15.

So 15 divided into groups of 5 is equal to 3.

There will be three groups.

Jacob and Sofia now check this, exploring this problem, 20 divided by 5.

Hmm, what knowledge can we use to help us to solve this? Jacob notices that 20 is our whole and we are dividing 20 into groups of 5.

He knows that four times by 5 is equal to 20, so 20 divided into groups of 5 will be equal to four.

Well done, Jacob.

I love how you use that knowledge there.

Do you see how simple divisions can be when you use your times tables to help you? Now over to you then to have a practise.

Use the 5 times table knowledge to help you solve this division.

You can see that there are the equations for you to complete and also the stem sentence to help you explain it.

Pause this video and come on back once you've completed the question.

See you soon.

Welcome back, let's have a look then.

We know that 25 is our whole and we are dividing 25 into groups of 5.

We know that 5 fives are equal to 25, so 25 divided by 5 is equal to 5 because we can make 5 equal groups of 5.

Well done to you if you've got that correct.

Now let's continue to practise this with task A.

Task A part one is to fill in the missing numbers to complete the division equations, A, B, and C.

You've got the multiplications, use that knowledge to then solve the divisions.

Part two is to use your knowledge of the 5 times table to complete these equations and look for any patterns that you might notice when you are solving them.

Part three is to fill in the missing numbers to complete the equations.

We've got different parts missing in each of these equations, so make sure you look carefully at what part you are missing.

Pause this video, have a go at part one, part two, and part three and come on back when you are ready to continue the learning.

Welcome back, let's have a look at how you got on then.

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

We can see that 8 times by 5 is equal to 40.

So 40 divided by 5 must be equal to 8.

7 fives are equal to 35, so 35 divided by 5 is equal to 7.

And 6 fives equal to 30.

So 30 divided by 5 must be equal to 6.

Well done if you completed part one.

Part two, Jacob completed the first four equations and notice that each time the whole increased by 5, so there was another group of 5 that can be made.

And in the second four again he notices that the hole decreased by 5 each time.

So there was one less group of 5 that could be made.

Well done if you completed those.

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

Something times by 5 is equal to 15.

Hmm, 3 fives are equal to 15.

So 15 divided by 5 must be equal to 3.

15 times by 5 is equal to 75.

So we can use this knowledge to solve 75 divided by 5, which we know is equal to 15.

And finally we can see that in our division 45 is our whole.

So the knowledge that we can use to solve this would be 9 times 5 is equal to 45.

So 45 divided by 5 will be equal to 9.

Well done for completing part one, two, and three.

And well done for completing task A.

Now we've practised using this knowledge, we are going to use it within some different context.

In the second part of our learning, we're going to solve some problems in context.

And we are going to take a trip back to the theme park with Jacob and Sofia, are we ready? Each boat on the Wavy Rapids holds 5 people.

There are 10 people waiting to ride.

So how many boats will be needed? We can see this as 10 as our whole and each boat holds 5 people.

So we are dividing 10 into groups of 5.

This will give us the number of groups that we need or the number of boats that we need for all of the people to ride.

We know that 2 times by 5 is equal to 10.

So 10 divided into groups of 5 is equal to 2.

So that means that we will need 2 boats for 10 people to ride the Wavy Rapids in the boats of 5.

Well done if you said that.

Over to you then.

Each boat on the Wavy Rapids holds 5 people.

If there are 60 people wanting to ride, how many boats will be needed for all of them to ride? Pause this video, explain what knowledge you can use to solve this problem and come on back to see how you've got on.

Welcome back, let's have a look then at how you got on.

We know that 12 fives are equal to 60, so 60 divided into groups of 5 must be equal to 12.

12 boats will be needed for the 60 people to ride the Wavy Rapids.

Well done if you said this.

Sofia now takes a trip back to the food station.

This time there are 55 balls of candy floss that are ready to be bagged up.

They are shared between 5 bags.

How many bowls of candy floss will be in each bag? Hmm, Sofia notices that this time our hole is 55, but this time we are sharing 55 between 5 groups rather than putting them into groups of 5.

We are sharing them.

So when we complete the calculation, that would tell us the size of each share and how many balls of candy floss will be in each bag.

Five is still our advisor though, so we can still use our 5 times table knowledge to find the size of each share.

We know that 11 fives are equal to 55, so 55 divided between 5 groups will be equal to 11.

There will be 11 balls of candy floss in each of the 5 bags.

Well done, Sofia, I love how you applied that strategy, even though our problem was slightly different.

Over to you then.

If there are 30 balls of candy floss and they're ready to be bagged up into 5 bags, how many balls of candy floss will be in each bag? Record this problem as an equation and explain how you worked out how many balls of candy floss would be in each of the 5 bags.

Pause this video and come on back when you've got an answer.

Welcome back, let's have a look then.

This time our hole is 30 and we are dividing 30 between 5 groups.

We know that six times by 5 is equal to 30, so 30 divided by 5 will be equal to 6.

In each of the 5 bags there will be 6 balls of candy floss.

Well done if you've got that one correct.

Now let's continue to practise this learning with task B.

Task B, we are returning to the prize pavilion where Sofia and Jacob are going to face lots of new problems. Do you think you can help them? Task B is to record each problem as an equation and solve the problem using your knowledge of the 5 times tables.

A, on The Basket Bonanza, the basket balls are stored in bags of 5.

There are 25 balls altogether.

How many bags are needed to store all the basket balls? There are 40 cups on The Crazy Cups.

There are 5 rows of cups.

How many cups will be in each row? Hmm.

And C, on The Wizard Wands, it takes Jacob 5 minutes to complete the spiral.

How many times could Jacob complete this in 60 minutes? Let's have a look.

So pause this video, have a go at A, B, and C and then come on back when you're ready to see how you've got on.

Remember to record each of those problems as an equation and explain how you've used your times table knowledge to find the solution.

Welcome back, let's have a look then.

A, the basketballs are stored in bags of 5.

There are 25 basketballs altogether.

So how many bags are needed to store all the basketballs? 25 is our whole and each bag holds 5 basketballs, so we are dividing 25 into groups of 5.

We know that 5 fives are equal to 25, so 25 divided by 5 must be equal to 5.

Five bags will be needed to store all 25 of those basketballs.

Well done to you for completing A.

Let's have a look at B.

There are 40 cups on The Crazy Cups and there are 5 rows of cups.

How many cups are in each row? Hmm.

40 is our whole and we are putting them into 5 rows.

So here we are sharing 40 between 5 groups.

We know that 8 fives are equal to 40, so 40 divided between 5 rows will be equal to 8.

There will be eight cups in each row.

40 cups will be put into 5 equal rows of 8 cups.

Well done to you if you got that one correct.

And C, on The Wizard Wands, it takes Jacob 5 minutes to complete the spiral.

How many times could Jacob complete this spiral in 60 minutes? 60 is our whole and we are splitting it into groups of 5 because it takes Jacob 5 minutes to complete one spiral.

Here we are dividing 60 into groups of 5.

We know that 12 fives are equal to 60, so 60 divided into groups of 5 will be equal to 12.

We know that Jacob could complete The Wizard Wands 12 times in 60 minutes.

That of course depends on Jacob completing the spiral in the same time every single time, which I don't think I would be able to do.

Well done for completing A, B and C.

Well done for completing the lesson.

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

When we are dividing by 5, you can use the 5 times table to find the number of groups or the number in each group.

Here's an example.

3 fives are equal to 15, so 15 divided into groups of 5 is equal to 3.

3 fives are equal to 15, so 15 divided into 5 groups is equal to 3 in each group.

Thank you so much for all your hard work again.

I hope you're now starting to see how those times tables can really be used in lots of different ways.

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