Lesson video

Hello, I'm Miss Miah and I'm so excited to be a part of your learning journey today.

I hope you enjoy this lesson as much as I do.

Today you'll be able to divide a three-digit by a one-digit number using short division.

The keywords are on the screen right now.

Have a look and I'd like you to repeat them after me.

Dividend, divisor, and quotient.

Good job.

Let's keep moving.

So the dividend is the amount that you want to divide up.

And on the screen, you can see that six is the dividend in this equation.

A divisor is the number that we are dividing by.

And on the screen, you can see that three is our divisor.

A quotient is the result after division has taken place.

So you can see that the quotient on the screen is two.

So what I want you to get into the habit of saying is quotient when you are referring to the answer of a division equation.

So for the first lesson cycle, we are actually going to be focusing on recording using short division.

And in this lesson, you'll meet Andeep and Izzy.

They're going to help us.

488 divided by four.

So Izzy says that she knows how to divide a two-digit number using short division, but what does she do when it's a three-digit number? So have a look at the screen.

We've got our ones column and our tens column.

Then we've got a few question marks.

What do you think we're going to do with our dividend? So today you'll be learning how to divide a three-digit by a one-digit number using short division.

And you're going to love this because you may already know how to divide a two-digit number by a one-digit number.

This is just taking it a step further.

Okay, so a bakery sells desserts in packs of three.

There are 363 desserts to pack.

How many packs are required? So in order to figure out what our division equation is, we need to look at the question in detail.

And here we can see that there are 363 desserts that we have to pack and they're packed in threes, which means our division equation is 363 divided by three, and we're going to begin by arranging our dividend and divisors into our division frame.

So the divisor is placed outside and the dividend is placed inside, as you can see on the screen here.

Now, because we're working with a three-digit number now, it's so much more important and crucial that when you're writing the dividend on your piece of paper, you space the digits out.

So first, you're going to divide the hundreds.

You can make one group of three hundreds from the three hundreds in the dividend.

So that means three hundreds divided by three is equal to 100.

And we place the one in the hundreds column, just like we would for when we were dividing the two-digit by a one-digit number.

Then we move on to our tens.

So have a look at your tens.

You've got six tens there.

How many groups of three can you make from six tens? Have a think.

If you've got two groups, well done, you're correct.

So you can make two groups of three tens from the six tens, which means six tens divided by three is equal to two tens.

And then we write the two on top and then we move on to our one.

So have a think again.

How many groups of three can we make from the three ones in the dividend? If you've got one group of three ones, that is correct.

So that means three ones divided by three is equal to three ones.

So we write one in the ones column.

121 packs were needed to pack 363 desserts into packs of three.

What else did you notice here? Have a think.

Think about the quotient.

The partial quotients are recorded above the dividend in the correct place value columns.

Over to you.

Izzy has arranged the division equation into short division.

Which is correct? Justify your thinking to your partner.

You can pause the video here.

So how did you do? You should have got B.

And that is because 963 is the dividend.

That is the number that we're dividing up and that is the number that we place inside the division frame.

Three is the divisor, so it is placed outside.

If you got that correct, good job.

Let's move on.

Andeep completes a game and earns 408 experience points.

These points are divided and awarded equally to each of his four team players.

And you can see them there on your screen.

How many experience points does each player get? Now, before we tackle the question, what I want you to think about is what division equation is needed because if we don't know what the division equation is, we won't know what to do.

What is known and what is unknown? Well, we know that he earned 408 experience points and we need to divide them equally between four of the characters that he's used.

408 is the dividend.

That is the number that we are dividing.

Four is the divisor.

That is the number that we're dividing by.

So what we know is the dividend and the divisor and what we're calculating or what is unknown is the quotient.

So a top tip from Izzy.

Make sure to space the dividend when writing inside the division frame.

Just a quick reminder there.

So let's begin.

We are going to be arranging the dividend and the divisor into the division frame, and then we're going to divide the hundreds first.

So remember, in division, we work from left to right.

You can make one group of four hundreds from the four hundreds in the dividend.

So 400 divided by four is equal to 100.

So then you write the one in the hundreds column.

Let's move on to our tens.

Now, this is interesting because there are zero tens in our tens column.

We cannot make any groups of tens from the zero tens in the dividend, which means zero 10 divided by four is zero.

So we write a zero at the top in the tens column as a placeholder.

Lastly, we're going to be dividing our ones.

So you can make two groups of four ones from the eight ones in the dividend, which is the same as saying eight ones divided by four is equal to two ones.

So then we write two in the ones column, which means each player gets 102 experience points.

And again, Izzy's just echoing what I've said, you always start from the left and work to the right.

Over to you.

Use the information to record the short division.

You can pause the video here.

So how did you do? Well, You should have got this.

The divisor is three, so we place it outside to the left.

The dividend is 669 and we always place this inside the division frame and the quotient is placed at the top.

Well done if you got that correct.

Okay, so Izzy and Andeep.

Izzy, Andeep and Jacob are comparing their methods and they're comparing the methods for the division equation, 408 divided by four.

Here's Andeep's method.

He's used short division.

Here's Izzy's method.

I want you to read that.

And lastly, Jacob's method.

Now, you may be familiar with Jacob's method.

You may have read Izzy's method and thought, "Oh, this looks like a good method as well." Now, sometimes mental strategies are far more efficient than short division, especially when you are not required to regroup and remember, as mathematicians, our toolkit is filled with so many strategies, it's up to us to pick the most efficient strategy.

Back you.

Which method would you suggest to Izzy to use when solving this division equation? 963 divided by three.

You can pause the video here.

How did you do? Now, it really depends in what you're confident in using.

So for A, you may have picked short division and that is because it would probably help you record your partial quotients.

For B, if you pick this, I would argue that this would be the more efficient method, and that is because you may already be confident in your times tables facts and your division facts.

So you may efficiently calculate this in your head.

And partitioning, you may prefer partitioning because it makes it easier for you to identify the partial quotients.

Onto your task.

For task A, question one, you're going to use the information to record the short division.

For question two, you're going to match the equation with the correct short division and fill in the gaps.

You can pause the video here.

Off you go, good luck.

So this is what you should have got for question one.

You can pause the video here to mark your work.

For question two, this is how you should have matched your answers.

So let's have a look at 636 divided by something gives us a quotient of 212.

Well, we know that 636 is the dividend, so that should have been placed inside and our divisor is three, so that should have been written in the missing gap for that equation.

For B, we can see that 111 was our quotient, so that should have been written at the end of our division equation.

And five is our divisor, so that should have been placed outside the division frame.

And lastly, C, 888 is the dividend.

So that is the first number that should have been written in our division equation.

And our quotient is 222.

Let's move on to the second lesson cycle.

For this lesson cycle, you're going to use short division.

So applying everything that you've learned to solve problems. Let's go.

Andeep has collected 396 guinea cards.

He wants to divide them equally amongst three of his friends.

How many cards does each child get? And are there any leftover? Now, this may seem quite complicated, but if we look at the question in detail, we can figure out what we have to do.

So let's start off with what division equation is needed to solve this problem? Well, 396 is the dividend.

That is the amount that we're dividing up.

The divisor is three and the quotient is what we're calculating.

So for this part, I'm going to have a go first and I'd like you to see how I calculate 396 divided by three, and then it's going to be your turn.

So be ready.

I'm going to start by arranging my dividend and my divisor into the division frame.

Then I'm going to divide the hundreds first.

I can make one group of three hundreds from the three hundreds in the dividend.

So that means three hundreds divided by three is 100, and I'm going to be writing the one at the top.

Secondly, I'm going to move on to dividing my tens.

Now, I can make three groups of three tens from the nine tens in the dividend, which is the same as saying nine tens divided by three is three tens.

So then I'm going to write three in the tens column.

And lastly, I'm going to divide the ones and I can make two groups of three ones from the six ones in the dividend.

So that means six ones divided by three is equal to two ones.

And then I'm going to write two in the ones column.

So that means each friend will get 132 cards each.

Your turn, you're going to be calculating 428 divided by two, and you're going to use short division.

You can pause the video here.

Off you go.

So how did you do? So this is how you should have arranged your dividend and divisor into the division frame.

Four hundreds divided by two is equal to two hundreds, two tens divided by two is equal to one 10 and eight ones divided by two is equal to four ones.

So if you got 214, you are correct.

Well done.

Back to you again.

Describe the quotient in this short division in different ways.

What does it mean? You can pause the video here.

So what you may have got, it means that there are two groups of 411 and two groups make 822.

It means that 822 is divisible by two.

Half of 822 is 411.

And lastly, it represents four hundreds, one 10 and one one.

If you've got something similar to that, well done, give yourself a tick.

It means that you understand what the quotient represents.

Okay, Izzy is calculating using her whiteboard, but one of her digits has rubbed off.

What advice would you give to Izzy to find the missing digit? So have a look at the division equation.

What is known and what is unknown? Well, let's begin by looking at the dividend.

Six hundreds divided by something gives Izzy two hundreds.

You can use your table facts to help you.

So Izzy knows that three groups of two hundreds gives her six hundreds.

So that means the missing digit is three.

You can use the pothole model to help you with this type of question as well.

Izzy could complete the calculation to check 639 divided by three is 213, and I would definitely do that.

That is a top tip.

The rest of the calculation is correct.

Yes, a problem solving question.

So two squares have a total perimeter of 888 centimetres.

What is the length of one side of one square? So first off, what division equation is needed for this question? What is known and what is unknown? Have a think.

So let's look at the question in detail.

888 is the dividend.

This is the number that you are dividing up, and that is because the question has said that the total perimeter is 888.

Now, we need to find the length of one side.

We know the length of eight sides.

So in order to calculate the length of one side, we need to divide by eight.

The dividend and the divisors are known and the quotient is unknown.

So we're going to start off by writing the dividend and the divisor and we will arrange it like this.

Now, if you're writing it on paper, make sure you space out the digits in the dividend.

So first, you're going to divide by your hundreds.

Eight hundreds divided by eight is equal to 100.

You can make one group of eight hundreds from the eight hundreds in the dividend.

Next, you're going to divide your tens.

You can make one group of eight tens from the eight tens in the dividend.

So eight tens divided by eight is equal to one 10.

And lastly, you're going to divide your ones.

So you can make one group of eight ones from the eight ones in the dividend.

So that means eight ones divided by eight is equal to one one.

The length of one side is 111 centimetres.

You may have noticed that each digit in the dividend is a multiple of eight, so that means eight divided by itself, and you know that anything divided by itself gives you one.

So a mental strategy definitely would've been far more efficient.

Back to you.

Select the correct short division for this question.

An equilateral triangle has a total perimeter of 966 centimetres.

What is the length of one side? You can pause the video here.

Off you go.

So how did you do? You should have got B.

And this is because the dividend is 966 as that is the total perimeter.

The divisor is three because you need to calculate the length of one side.

Onto your main tasks.

You are going to be using short division for these questions.

For question one, you're going to complete the calculations using short division and you can see four questions there that you need to answer.

For question two, you are going to be filling in the blanks.

For question three, you're going to use short division to solve these problems. 3a, an equilateral triangle has a total perimeter of 696 centimetres.

What is the length of one side? For 3b, the total perimeter of one square is 488 centimetres.

What is the length of one side? And for 3c, Andeep completes a game and earns 693 experience points.

These points are divided and awarded equally to each of his three team players.

How many experience points does each player get? It'll be really helpful if you jot down what the division equation is before you start solving these questions.

You can pause the video here.

Off you go.

Good luck.

So how did you do? You can pause the video here to mark your work and check that you've got the questions correct.

If you got all of those questions correct, well done.

Okay, let's have a look at these questions in detail.

3a, the division equation you should have got was 696 divided by three because you are calculating the length of one side.

So 696 is your dividend, three is your divisor.

You would've set this out in your division frame and divided each digit by the divisor to get a quotient of 232 centimetres.

For question 3b, the division equation is 488 divided by four, and the quotient that you should have got was 122 centimetres.

So 488 would've gone inside the division frame and four would've been placed outside because it's the divisor.

You would've divided each digit by four.

And lastly, question 3c, the division equation for this question is 693 divided by three because the total points was 693, and there are three players.

So that means that's the divisor.

We're dividing 693 equally between three players.

So that means three is the divisor.

So the quotient that you should have got was 231.

So each player would've got 231 experience points.

If you got all of those questions correct, well done, you're building a strong foundation in using short division.

This will later help you with more complex questions.

So to summarise our learning: today you divided a three-digit by a one-digit number using short division.

You now understand that division of a three-digit by a one-digit number can be organised with short division.

You also understand that partial quotients are recorded above the dividend in the correct place value columns.

I really enjoyed teaching you this lesson and I hope you found it helpful.

I look forward to seeing you in the next video.