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 Use Knowledge of Division Strategies to Solve Problems, and it comes from the unit Doubling, Halving, Quotative and Positive Division.

By the end of this lesson, you should be able to use your knowledge of division strategies to solve problems. Here are this lesson's keywords: divisor, dividend, quotient, and divisible.

Let's practise them.

My turn, divisor, your turn.

My turn, dividend, your turn.

My turn, quotient, your turn.

And my turn, divisible, your turn.

Fantastic, so all of these words, you should be pretty confident at using now.

So let's have a look at today's lesson.

In the first part of our learning, we are going to use your knowledge of dividing.

And in the second part of our learning, we're going to be comparing division strategies.

So let's get started with our exciting first learning cycle.

In this lesson, we are going to meet Jun, Aisha, Sofia, and Jacob.

They're going to help us with our learning today.

Let's see what they're getting up to.

Jun, Aisha, Sofia and Jacob are taking part in the Oak Class Escape Room.

So let's get started, Detective Aisha, Detective Sofia, Detective Jun, and Detective Jacob.

are you ready to become detectives? Let's get started.

To enter the room, a key you must make.

Match each related fact, and the key you can take.

We can see that we have multiplication facts here and some division facts.

What we need to do is we need to match the multiplication fact to the related division fact.

2 times 5 is equal to 10, so we know that 2 times 5 is equal to 10.

10 divisible by 2 will be equal to 5.

Let's see, is that correct? Ah, yes! The first part of the key has been made.

Well done, Sofia.

Let's have a look at the next one then.

3 times by 10 is equal to 30.

If we know that 3 times by 10 is equal to 30, we know that 30 is then our dividend, the whole, and if we divide it by 10, it will be equal to 3.

Let's have a look then Jacob? Yes, the second part of the key.

We're so close, everybody, we're so close! Let's have a look then.

These two should match up because they're the only two we've got left, but let's check them to be sure.

4 times by 2 is equal to 8, so 8 divided by 2 will be equal to 4.

That there is the related division fact.

Let's have a look, yes! The key we have made.

So let's the challenge and do not be delayed.

Let's take our key and let's get into the escape room.

Hmm, oh, I'm getting excited! Are we ready? Let's go.

The theme park is a place full of wonder and awe.

Solve each of the problems and prizes will be in store, let's go! Solve each problem and take your aim.

Hit the target to receive the next part of the game.

Oh, I can see that we're on our coconut shie and each of the coconuts are on a different coloured stem with a different number attached.

Let's have a look.

Oh, our first problem: 25 divisible by 5.

How are we going to solve this? We could use our times table knowledge.

You're right, Jacob.

We know that 5 times by 5 is equal to 25.

So 25 divisible by 5 will be equal to 5.

Are you ready, Jacob? Take your aim.

Let's throw it.

Yes, the first one is down, well done.

Let's have a look at our next problem: 0 divided by 10.

Sofia, I think you should take this one.

The dividend is equal to 0 and we know that when the dividend is equal to 0, the quotient will also be equal to 0.

Oh, let's have a look then.

Sofia, take the ball.

Take your aim.

We need to hit the 0.

That's the purple stem, are we ready? Go! Oh, that was so close! Well done, Sofia, well done.

We've got two down, guys.

Let's have a look at our next problem.

There are 18 people waiting to ride The Ferris Wheel.

How many carriages of 2 will they fill? Oh, here we can see this problem is 18 divisible by 2, and we know that dividing by 2 is the same as halving.

Well-remembered there, Jacob.

We know that half of 18 is equal to 9.

So 18 divisible by 2 will be equal to 9.

That means that 18 people will fill 9 carriages.

Have we got a number 9? Yes, it's the blue one, Jacob! Are you ready? Yes! What a shot! Well done, Jacob! Now last challenge.

Are you ready for this, Sofia? We're so close.

5 divisible by 5.

Hmm, I think I remember something about a division looking like this.

We know that if the dividend and the divisor are equal, the quotient will be equal to 1.

Sofia thinks 1 is our final coconut.

Are you ready, Sofia? Take your aim.

Yes, well done, right! Now we've hit all four of our coconuts, let's see what the next step is.

Press the colours in order from left to right.

Your next challenge will then be inside.

Oh, can you remember the order of the colours when we hit the coconuts? Jacob, can you remember? There we go.

It was 5, 0, then 9, and then 1.

So that was red, then purple, then blue, and then pink.

Are we correct? Yes! We've received the next challenge.

Well done to Jacob and Sofia.

Now it's your turn to have a go at your own escape room themed activity.

Use your knowledge of division to create three more equations that would help us to knock down the remaining coconuts.

So we have 6 on the orange stand, we have 3 on the yellow stand, and we have 2 on the green stand.

What equations could you write that would give us the quotient of 6, 3, and 2? Pause this video.

Have a go at recording three different equations to result in those answers.

And then, come on back to see how you get on.

Welcome back, let's have a look then.

Jacob, what equations did you come up with? We know that 6 is half of 12 and dividing by 2 is the same as halving.

So the equation to knock down the orange coconut could be 12 divisible by 2 because that would be equal to 6.

It would, Jacob, you are right.

Let's have a look.

Yes, that does knock down the orange coconut.

Let's have a look at the yellow one then.

This time, we needed a quotient of 3.

We know that 3 times 5 is equal to 15, so 15 divisible by 5 should be equal to 3.

Let's have a look.

Does that knock down our yellow coconut? Yes, it does! Well done, Jacob.

And finally, we needed a quotient of 2.

Jacob remembered that when the divisor is 1, the quotient will be equal to the dividend.

So if we had a dividend of 2 here and we divided it by 1, it would equal to the quotient of 2.

So let's put that one in.

2 divisible by 1 is equal to 2.

Let's see, does this knock our last coconut off? It does! Well done to Jacob and well done to you if you said any of those equations.

Though there are lots of different options that you could have created.

So well done for completing that task.

Let's have a look then at the next challenge.

Use your knowledge to create the equations, then prepare yourself for battle stations.

Here you can see that we have a range of numerals, some division symbols, and some equal symbols.

So what we need to do is we need to create our own equations using the numerals and the symbols.

Should we have a go? Come on then, Jacob and Sofia, I think we've got this.

Let's have a look.

How are we going to approach this then, Jacob and Sofia? Oh, good idea, Sofia.

Let's think about what we know about the dividends, divisors and quotient to help us.

We know that when the dividend and the divisors are equal, the quotient will be equal to 1.

So if we put one there and we use our division symbol and our equal symbol, can we see two cards that are equal that would complete this equation? We can see that we have two 8 cards.

So that means 8 divided by 8 would be equal to 1.

That looks good to me, Jacob.

Well done, that's one equation down.

Now, let's see what else we've got.

Sofia has noticed that we have 60 and 60 divided by 10 will be equal to 6 because Sofia knows that 6 times by 10 is equal to 60.

I can see we have 60, 10, and 6 in our cards.

Let's pop them together.

60 divided by 10 is equal to 6.

That looks good to me, Sofia.

Now hopefully if we've done this correctly, our last three numerals should make our last equation.

What equation could we use with 0, 0, and 2? Jacob knows that if the dividend is 0, no matter what the divisor is, the quotient will still be equal to 0.

So what equation could we record here? Sofia thinks that the final equation could be 0 divided by 2 is equal to 0.

What do you think? That looks good to me, Sofia, well done.

Let's see what we have to do now.

To complete the challenge, you must explore all three and answer the questions to see what your battle number will be.

A battle number, let's have a look then, Jacob, what do you need to find? Oh, Jacob is looking for the greatest divisor.

Hmm, let's have a look then.

My battle number is the greatest divisor and we can see that the greatest divisor in all the equations is 10.

So Jacob's battle number is going to be 10.

Sofia, what's your battle number? Sofia's number is the smallest divisor.

We can see that the smallest divisor in all of those equations is 2.

So Sofia's battle number is 2.

Let's see what they have to do with their battle numbers.

Oh, oh, in your battle stations, you must be to find the numbers divisible by your battle number, you see? Oh, wow, I wonder what this challenge could be? We need to shoot any numbers that are divisible by our battle numbers.

So Jacob's battle number was 10 and Sofia is shooting numbers that are divisible by 2.

Right, are you ready, guys? Battle stations are ready! Let's wait for the first duck.

20, who's gonna shoot that? Oh, Jacob, you win that one! Well done to you.

Oh, Jacob's not sure why did Sofia shoot the 20 as well? Jacob noticed that it had a ones digit of 0, so that means it's divisible by 10.

Sofia, you are looking for numbers divisible by 2.

Why did you shoot for that target? Oh, 20 is also divisible by 2 because it's an even number.

Of course, it is! So Sofia was also aiming for 20 because she could have won that one too.

Let's have a look.

I think the next one's on its way, 12! 12 is an even number.

So that is yours Sofia.

Well done, yes! You have both got one target each.

Let's look for the next one.

Are we ready? 30, who's gonna get that one? Oh, well done, Sofia! You were so close, Jacob, you were.

Well done, Sofia.

Again, 30 is divisible by both 10 and 2, so both children could aim for that one then but it was Sofia that won it.

Well done, let's see, what's the next duck? 14, 14 is an even number, so that's another one for Sofia.

Wow, well done Sofia! Well done to you.

Don't worry, Jacob.

I think this next one could be yours.

Let's have a look.

15, what do we think? 15 is an odd number and it doesn't have a ones digit of 0.

So 15 isn't divisible by 10 or 2, so that isn't either of theirs.

Well done for spotting that one.

That could have been an incorrect shoot for both of you there.

Let's have a look then.

What's the next one going to be? 10, who's gonna get that one? Yes, well done, Jacob! That was so quick.

One 10 is equal to 10.

So 10 is divisible by 10.

70, who's gonna get that one? Oh, it's the last one as well! They both got that one, so they shared that target.

Well done to Jacob and Sofia.

You both win a prize for completing the challenge, but Sofia gets the prize that's larger in size because she won.

A great game there by Jacob and Sofia.

You really do know your divisibility rules.

Well done to you.

Now enter the order of the numbers found to open the door and reveal a final challenge for you to explore.

Come on then Sofia, you've got enough numbers to complete this code.

So let's see if you get the final challenge.

1, 2: because her first score was 12; 30, 3, 0; 14, 1, 4; 70, 7, 0.

Let's have a look.

Oh, is it going to open? Oh, it does! Sofia can now face the final challenge.

I'm an even number.

My ones digit is 8.

I'm a two-digit number, but the double of a one-digit number.

What am I? Oh, Sofia, let's have a look.

Sofia knows that the ones digit is 8 and that will also make her two-digit number even.

So that's the first two ticked off.

Now we need to think about the second part of the riddle.

I'm a two-digit number, but the double of a one-digit number.

What am I? Hmm, Sofia knows that if the number is the double of a one-digit number, then the number must be 18 because double 9 is equal to 18.

18 has a ones digit of 8 and it is even.

Oh, Sofia thinks 18 is the right number.

Shall we see what happens to her prize if she is correct? Oh yes, look, there's the key! And look at the size of your prize now, Sofia.

It definitely has doubled.

Let's see if we can escape with the key.

You solved the problems and grew the size of your prize.

Now you have escaped.

You must feel wonderful and wise! Well done to Sofia and Jacob for completing the Escape Room.

Now let's have a look at a challenge for you.

At the end of the day, we have to get our ducks in a row.

Sort your ducks into the boxes below.

So you can see that you've got a selection of ducks that need to go away, but do they go in the divisible by 2 box, divisible by 5 box, divisible by 10 box, or divisible by 2, 5, and 10 box? Sofia's reminding you that even numbers in the 5 times table are also divisible by 10, and numbers that are divisible by 10 are also even.

So they are also divisible by 2.

Hmm, how can you use that knowledge to help you? So pause this video.

See if you can sort the ducks into the certain boxes.

And then, come on back to see how you've got on.

Welcome back, let's have a look then.

At the end of the day, we have our ducks in the row.

Sort your ducks into the boxes below.

Let's start then with number 2.

We know that number 2 is divisible by 2 because it's in our 2 times table, but it's not divisible by 5 or 10.

So it just goes in the divisible by 2 box.

Let's have a look.

Numbers with a ones digit of 5 are divisible by 5, so that means 35 needs to go into the divisible by 5 box.

20 is a multiple of 5, so it's divisible by 5 and 10, but it's also even so that means it's also divisible by 2.

So 20 needs to go over here.

10 is also divisible by 2, 5, and 10.

Oh, Sofia thinks that she's starting to notice a pattern in the divisible by 2, 5, and 10 box.

Let's continue to see if she's correct.

15 then, we know that 15 has a ones digit of 5, so that means it must be divisible by 5.

70 is an even number, so it's divisible by 2, but I also know that it's divisible by 10 because it has a ones digit of 0.

And if it's divisible by 10, it's also divisible by 5.

So that means it needs to go in my divisible by 2, 5, and 10 box.

Sofia, is this confirming the pattern that you started to notice? It is, Sofia noticed that all the tens numbers are actually divisible by 2, 5, and 10 because we haven't got any numbers in just the divisible by 10 box.

They're all going in the divisible by 2, 5, and 10 box.

So 30, let's have a look at that.

Where's 30 going to go? We know that 30 is going to be divisible by 2, 5, and 10.

12, 12 is an even number.

It doesn't have a ones digit of 5 or 0, so it must be divisible by 2.

8, I know is in my 2 times table.

So that is divisible by 2.

And 50 is a tens number, so we know that that is divisible by 2, 5, and 10.

Well done to you if you manage to sort those ducks into the correct boxes.

And well done if you notice the pattern that all of our tens numbers were actually divisible by 2, 5, and 10.

Well done for completing this check.

Let's move on then to task A.

Time to create your own escape room.

Write your own challenges for another group to complete.

Your challenges might include: solving division equations; divisibility rules for 2, 5, and 10; or creating division equations.

Jacob is reminding you that you can always use the questions that we've completed in our escape rooms and change the numbers within them to create your own.

Or you might like to create your own problem if you are feeling inspired, but make sure that you test out the challenges and make sure that they are correct and that they work before you give them to another group to solve.

So pause this video.

Have a great time creating your own escape room challenges and come on back when you are ready to continue the lesson.

Then, you'll also get to see the problem that Jacob creates for another group in his classroom to solve.

Welcome back, I hope you enjoyed creating your own challenges there.

Let's see what Jacob created.

Jacob and Sofia created an escape room challenge for Aisha and Jun to complete.

They wrote their own problem around the numbers that are divisible by 2.

Each number represents a group of people waiting to ride The Ferris Wheel.

Which groups will fill the carriages of 2 with none left over? You have to knock down all of the coconuts of the numbers that are divisible by 2.

I love that challenge and I can't wait to see what Aisha and Jun make of it later.

Well done to Jacob and Sofia and well done to you for completing task A.

Let's move on then to the second part of our learning.

Now we've used our knowledge of dividing, we're now going to be comparing division strategies and helping Aisha and Jun through their escape room.

Are you ready? Let's get started.

Here we can see Jun and Aisha are attempting to escape the room.

Oh no, you thought you had escaped! You are mistaken.

Let's have another look at the road you should have taken.

Oh no, Aisha and Jun didn't manage to complete their escape room! Let's have a look at what Jun and Aisha did and help them to evaluate their strategies or find the correct answers quickly, let's go.

To enter the room, a key you must make.

Match each related fact, and the key you can take.

Oh, so in this challenge, Jun only managed to get one piece of the key but he's not sure where he went wrong.

Sofia, do you think you could help him? Sofia's happy to help.

Let's have a look again, Jun, and let's see if we can improve on what you did before.

When we divide by 1, the quotient is equal to 1.

Oh, that's not quite right, Jun.

Sofia, have you got some advice for Jun? When the dividend is equal to 0, no matter what the divisor, the quotient will always be equal to 0.

So Jun matched this with 1 before, but now we know that it needs to match to 0.

There we go.

Look, there's our first piece of the key.

Well done Sofia, some great advice there.

Let's have a look at the next one then, Jun.

5 divisible by 5.

5 divisible by 5 is equal to 0 because there will be nothing left.

Oh, what advice can you give him here, Sofia? Not quite, Jun.

We could see this as 5 divided into 5 groups.

So there will be 1 in each group.

So what do we need to match? 5 divisible by 5 up with, Jun? We match it up with 1.

There we go! There's the next part of the key.

Here, Jun used his times tables to help him.

He got this one correct the first time.

He knows that 2 times by 5 is equal to 10.

So 10 divisible by 2 will be equal to 5.

That's correct, well done, Jun! The key you have made, so begin the challenge, and do not be delayed.

Yes, thank you so much for helping Jun there, Sofia.

Your advice was really great there.

Let's move on then to the next challenge.

So the next challenge, Aisha then took on was the coconut challenge.

Let's have a look at how she's getting on.

Each number represents a group of people waiting to ride The Ferris Wheel.

Which groups will fill the carriages of 2 with none left over? I remember this problem.

This is Jacob and Sofia's problem that they created.

Let's see how Aisha is going to tackle this one.

Aisha's going to count in her twos, and if she says the number, she knows that it's divisible by 2.

Hmm, okay then Aisha, let's see.

2, 4, yes! So she's going to hit 4, well done! 6, 8, 10, 12, yes, there's 12! We can knock 12 down.

14, 16, 18, yes! 18, we can knock it down, well done! Aisha completed the challenge.

Jacob, do you have any advice for Aisha? Hmm, that's a good point, Jacob.

If you'd have just used your divisibility rules, you would've been able to solve this problem a lot quicker without counting in your twos, Aisha.

Even numbers are divisible by 2.

So we can confidently say that 18, 12, and 4 are divisible by 2 without using any of our skip counting.

That would've been a lot more efficient if you'd have done it that way, Aisha, and you might have saved yourself some time.

Press the colours in order from left to right.

Your next challenge will then be in sight.

18, 12 and 4.

So that's purple, blue, and pink.

Yes, Aisha, well done! You were correct, but you know that you could have saved a lot of time using your knowledge of divisibility rules rather than counting.

Thank you for that great advice there, Jacob.

Let's move on then to the next challenge.

This one's for you.

So on The Crazy Pirates, each of the carriages hold 5 people.

So which of these group numbers would be able to fill the carriages with none left over? Think about what the divisibility rule is for numbers that are divisible by 5 because remember that's an efficient strategy that we can use when it comes to finding numbers that are divisible by 5.

Pause this video, have an explore, and come on back when you've found the numbers that will equally fit on the carriages on The Crazy Pirates with none left over.

Welcome back, let's have a look then, Aisha.

Let's see if you can use your divisibility rules.

Numbers that have a ones digit of 5 or 0 are divisible by 5 because they are in the 5 times table.

So that means that 80, 5, 25, 45, and 50 would all be able to fill the carriages of 5 on The Crazy Pirates ride with none left over.

Well done if you were able to get all of those numbers there.

Let's move on then to the next challenge.

Aisha and Jun are now on to making their own equations using the cards.

Let's have a look at how they've got on.

Oh, Aisha's just not sure what she's doing wrong.

She's tried so many times but she can't find the equations.

Sofia, can you give us some advice and help Aisha to complete this challenge? Let's pick a number and talk through what we know about it.

We know that 5 times by 5 is equal to 25, so 25 could be our dividend and if we divide it by 5, we know that it will be equal to 5.

Well done, Aisha, you've completed your first equation, yes! Now let's see what else we know.

Aisha can see that she has two 3 cards.

So they could be a dividend and a quotient.

They could, yes, because when the divide is 1, the dividend and the quotient will be equal.

So what will be your equation here then, Aisha? 3 divisible by 1 will be equal to 3.

That's right, that's a correct equation.

Now the final step, let's see if the remaining cards can make an equation.

If they do, that means we've completed the challenge.

Let's have a look.

We know that if 0 is our dividend, it doesn't matter what the divisor is, the quotient will always be equal to 0.

We've got two 0s here and a 10.

So what equation can we make here? The final equation must be 0 divided by 10 is equal to 0.

Well done to Aisha for completing that challenge and thank you again to Sofia for all of your great advice.

Let's see what your battle numbers are going to be.

To complete the challenge, you must explore all three and answer the questions to see what your battle number will be.

What is the greatest divisor? Oh, Aisha, you are looking for the greatest divisor, so that is gonna be those numbers there.

The greatest divisor we can see there is 10, so that's going to be your battle number.

Jun, what do you have to find? Oh, the greatest quotient.

Jun, where are the quotients in your equations? There they are.

And which one is the greatest? We can see that the greatest quotient in all of the equations is 5.

So Jun's battle number is going to be 5.

We're going to leave Aisha and Jun there to complete their final challenge, but how much more confident were they feeling after the great advice from Jacob and Sofia? Well done to Jacob and Sofia and well done to Aisha and Jun who hopefully will manage to escape the room this time.

Let's move on then to task B.

Task B is to explore each of the children's strategies and look for any mistakes and compare the strategies that they have used.

A, Has Aisha sorted the ducks into the correct boxes? Aisha used her times table charts here and when she saw the product of an equation in one of them, she put it straight into that box.

Explore Aisha's strategy here, but also check where she's put the ducks.

Is there any advice that you could give her and are there any ducks that might be in the incorrect place? B, Jun has solved some equations.

Can you find the errors in Jun's calculations? What advice could you give Jun to help him to correct any incorrect ones? And C, do you think Jacob is using an efficient strategy here? Jacob's going to represent 35 with 35 counters and he is going to share them between 5 groups.

Have a think of what strategy you might use to solve this problem and give your advice to Jacob to help him find a more efficient strategy.

Pause this video, have a go at A, B, and C.

And then, come on back when you've got some advice to give to the children.

Welcome back, let's have a look then.

Remember Aisha and her ducks, Jun is now checking Aisha's answer.

Aisha is correct, but she's missed some of the numbers that are divisible by 2, 5, and 10.

20 is in the 2 times table, so it is divisible by 2.

But it's also in the 5 and the 10 times table, so that means that it's also divisible by 5 and 10.

So 20 needs moving into that box there.

All the tens numbers are found within the 2, 5, and 10 times table.

So all the tens numbers should be in the divisible by 2, 5, and 10 box.

Well done, Jun.

I'm sure Aisha is very thankful for your help and your advice there and I'm sure she will remember that for the future.

Let's have a look at B.

Finding the errors in Jun's calculations, Aisha's here to check through Jun's answers, so let's have a look.

We know that 3 times by 10 is equal to 30, so 30 divided by 10 can't possibly be 1.

We know that it must be 3.

Well done, a good spot there Aisha, and I love how you use your times table and the related division fact there to help you.

Let's have a look.

60 divided by 10 is equal to 6 because 6 tens are equal to 60.

Dividing by 2, we can see this as the same as halving.

We know that half of 26 is equal to 13, but Jun has written 12 here, so that means that that is incorrect.

26 divisible by 2 should be equal to 13 because 13 is half of 26.

Some great correcting there, Aisha, well done.

And finally, 10 divided by 10 is equal to 1 because when the dividend and the divisors are equal, the quotient will be equal to 1, so that one is correct.

Thank you for your help there, Aisha.

Let's have a look at our last one.

Sofia's taking a look at Jacob's strategy.

Do you think it's the most efficient strategy that Jacob could have used, Sofia? Sofia notices that this strategy would take Jacob a long time and that there are lots of opportunities where he could make mistakes.

The most efficient strategy here would be to use your times table facts.

We know that 7 times by 5 is equal to 35, so 35 divisible by 5 will be equal to 7.

Not a counter or sharing group insight, all just using the facts that we already know.

That is a really efficient strategy, Sofia.

Thank you so much for that.

Well, that is the end of our lesson.

I hope you've enjoyed our escape room today.

Let's remind ourselves of everything that we have covered in this lesson and this unit.

We can use timetable facts to help to solve division problems. Even numbers with a ones digit of 0, 2, 4, 6, or 8 are divisible by 2.

Numbers with a ones digit of 5 or 0 are divisible by 5.

Numbers with a ones digit of 0 are divisible by 10.

When the dividend is equal to the divisor, the quotient will be equal to 1.

When the divisors is 1, the quotient will be equal to the dividend.

And when the dividend is equal to zero, the quotient will also be equal to zero.

Wow, look how much we have covered within this unit.

I'm so impressed at all of your hard work and you should be very, very proud of yourselves.

Thank you for joining me with your learning and I can't wait to see you all again soon to do some more.

See you soon, goodbye!.