Lesson video

Hello, my name's Mrs. Cayley and I'm going to be your teacher for today's lesson.

So in today's lesson, we're going to represent the multiples of 10 using an expression or an equation.

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

Here's the outcome of today's lesson, I can represent multiples of 10 in a calculation.

Here are the key words for today's lesson, can you say them after me? My turn, multiple, your turn? My turn, expression, your turn? My turn, equation, your turn? Well done! You might have seen these words before, look out for them in today's lesson.

Here's today's lesson outline, we're going to represent multiples of 10 in an expression or an equation.

We'll start off by looking at multiples of 10 and then we'll look at some real life problems. Let's start with the lesson.

Here are some children that are going to help us today, we've got Sam and Lucas.

We can represent multiples of 10 in different ways.

So here are some ways of grouping into 10s to show the multiples of 10.

So we might group cubes together to make number shapes.

We might have straws in bundles of 10, we might have 10 counters on 10 frames, we might have packs of 10 pencils or 10 pens, we might use our fingers, can you think of any other representations of 10? Sam said, "I can see groups of 10." Lucas said, "We can put objects into 10s." Can you think of any objects that you could put into groups of 10? Perhaps you can use some to help you with today's lesson.

Sam said, "These are multiples of 10." Lucas said, "It can be easier to count in tens." Can be quicker, can't it than counting in ones? Sam and Lucas are buying some flowers.

I wonder how many flowers are in the pot.

That's right, there are 10 flowers.

Sam said, "There are 10 flowers in the pot." Lucas said, "I will buy more pots of flowers." They've bought some pots of flowers, haven't they? How many flowers have Sam and Lucas got? Sam said, "There are 10 flowers in each pot." Lucas said, "There are three groups of 10." Can you see the stem sentence at the bottom there? We have mmh tens, this is mmh flowers.

So we've got 10 flowers in each pot, should we say the stem sentence together? "We have three tens, this is 30 flowers." Sam and Lucas want to buy another pot of flowers.

How many groups of 10 have they got now? That's right, they've got four groups of 10, haven't they? Sam said, "We have four pots of flowers," Lucas said, "We have 40 flowers." There are 10 in each pot.

Let's say the stem sentence together, "We have four tens, this is 40 flowers." We can represent the groups of flowers with an expression.

An expression shows us the groups that will be added.

So at first, Sam and Lucas had three pots of flowers, they had 10 plus 10 plus 10.

Sam said, "We can say we have 10 and 10 and 10." Lucas said, "We also have 10 plus 10 plus 10." The second expression has one more group of 10.

Sam said, "We have 10 plus 10 plus 10 plus 10." We can include the total to make an equation.

So for the first set of flowers, we had three groups of 10, 10 plus 10 plus 10.

Sam said, "We have 10 plus 10 plus 10, which is equal to 30." So we can make it into an equation by adding up the parts and working out the total.

In the second group of flowers, we had four groups of 10.

Lucas said, "We have 10 plus 10 plus 10 plus 10, which is equal to 40." Sam said, "We have used the equal symbol to write the equation." The equation shows us the groups of 10 and the total or sum.

So first of all, we had three groups of 10 and we show that by writing 10 plus 10 plus 10 is equal to 30.

We can see the three groups of 10 and we can see the total.

Then we had four groups of 10.

I can see the four groups of 10 there, and the total.

Sam said each group of 10 is shown as plus 10 or add 10.

Lucas said, "The total is a multiple of 10, because we have added groups of 10." I can see that the total or some is a multiple of 10 because it ends in zero.

Let's check your understanding: Who has written the correct equation to match the flowers? So here we've got some pots of 10 flowers.

Sam has written five plus five plus five plus five plus five is equal to 50.

Lucas has written 10 plus 10 plus 10 plus 10 plus 10 is equal to 50.

Who has written the correct equation for these flowers? Pause video, while you think about this one.

Who did you think had written the correct equation? It was Lucas, wasn't it? I can see we've got the five groups of 10 there and that makes 50.

We had one group of 10, another group of 10, another group of 10, another group of 10, and the last group of 10, and that is equal to 50.

We had groups of 10, didn't we? Not groups of five.

And expression shows us the groups that would be added.

Here, we've got some bundles of tens draws.

Can you write an expression to represent the straws? So how many groups of 10 have we got? Can you have a go at writing down an expression to represent the sraws? So how many groups of straws did we have? I can see we've got six groups of straws.

So we're going to write 10 plus 10 plus 10 plus 10 plus 10 plus 10.

So there should be six group to 10.

Can you write an equation to represent the straws? Lucas said, "An equation shows us the parts and the total." So we'll use an equal sign to show what the total is.

Can you have a go at writing an equation to represent the straws? So I know we've got six groups of 10, so we need to say 10 plus another 10 plus another 10 plus another 10, how many tens are we going to have? That's right, we'll have six tens, so there's another 10 and there's another 10, there should be six tens, and that is equaled 60.

So we've got six groups of 10, and if we're writing an equation, we'll also include the total.

The straws are in bundles of 10.

How many straws are there in total? Can you see how many groups of 10 straws we've got? We've got one, two, three, four, five, six, seven, eight, nine, ten groups of straws.

So how many straws is that in total? Should we try counting them in tens? Are you ready? You can point as we count them.

10, 20, 30, 40, 50, 60, 70, 80, 90, 100 straws.

Let's try saying the stem sentence together; "There are 10 groups of 10, so there are 100 straws." What would this be as an equation? I wonder if you could have a go at writing down the equation to represent these straws.

The equation shows us the groups of 10 and the total or sum.

So we will have 10 plus 10 plus 10 plus 10 plus 10 plus 10 plus 10 plus 10 plus 10 is equal to 100.

Lucas said, "There are 10 groups of 10," so I need to write 10, 10 times.

The total is 100, so I write the equal sign and 100.

Let's check your understanding; Which expression matches the straws? So here we've got bundles of 10 straws.

Can you see how many groups of 10 straws there are? Think about which expression matches the straws.

Pause the video while you think about this one.

So what did you think about this one? Which expression matches the straws? It was the bottom one, wasn't it? I can see we've got eight groups of 10.

So we need to have eight tens that are all added together.

Sam said, "We are adding eight groups of 10." Lucas said, "The parts all have to be 10 because there are 10 straws in each group." Here's a task for you to have a go at.

Can you complete the equations to represent the multiples of 10? So we've got some bundles of 10 straws, we've got some number shapes in tens and we've got some packs of 10 pencils.

I've started the equations for you by writing down some of the group to 10.

You need to finish off the equation and work out the total or sum.

You could use some real objects to help you, so pause the video while you have a go at your task.

How did you get on with your task? Did you complete the equations to represent the multiples of 10? So first of all, we had six bundles of 10 straws.

So you should have six groups of 10 there and the total is 60.

Then we had seven of the number shaped 10, so you need the number ten seven times and the total is 70.

Finally, we had five groups of 10 pencils, so you need five lots of 10 and that is equal to 50.

How did you get on with that one? Let's move on to the second part of the lesson, we'll look at some real life problems. Sam and Lucas are buying some fruit, Each piece of fruit is 10 pence or 10 pennies, how many pieces of fruit did Sam and Lucas buy? Sam said, "I spent 30 pence." Lucas said, "I spent 40 pence." I wonder how many pieces of fruit each of them bought.

Sam bought three pieces of fruit, so 10 plus 10 plus 10 is equal to 30 pence.

Lucas bought four pieces of fruit, so 10 plus 10 plus 10 plus 10 is equal to 40 pence.

Can you represent the amount as an equation? Can you write down an equation to represent the pieces of fruit that Sam bought and the pieces of fruit that Lucas bought? So Sam, three pieces of fruit, so her equation is 10 plus 10 plus 10 is equal to 30.

And Lucas's equation is 10 plus 10 plus 10 plus 10 is equal to 40.

Is that what you thought? So here are Sam and Lucas's equations.

Sam said, "The total in my equation is 30, because I spent 30 pence." I have written ten three times because I bought three pieces of fruit.

Lucas said, "I spent more and have one more group of 10 in my equation." Can you see he's got four groups of 10 instead of three.

My total is 40 pence.

How many fingers can you see? I can see they're in groups of 10, let's try counting them in tens; 10, 20, 30, 40, 50, 60, 70 fingers.

There are 70 fingers.

How many people are there? How many people would you need for 70 fingers? So how many groups of 10 are there? There are seven groups of 10 aren't there? So seven people would make 70 fingers.

Let's say the stem sentence together, "There are seven groups of 10, so there are seven people." You could try this out with your friends to see if it's right.

What is the expression represented by this image? Could you write an expression down to represent the fingers? So you would have seven groups of 10, so it'd be 10 plus 10 plus 10 plus 10 plus 10 plus 10 plus 10.

So there should be seven tens there.

What is the equation represented by this image? Remember the equation shows the total or the sum as well.

So the equation will be the same as the expression, but it will have the equal sign and 70.

So we've got 10 plus 10 plus 10 plus 10 plus 10 plus 10 plus 10 is equal to 70.

Seven groups of 10 is equal to 70.

These felt tip pens come in packets of 10.

Lucas buys 20 pens, how many packets has he bought? So how many groups of 10 will make 20 pens? Lucas said, "I have 20 pens, I have two packets of 10." Is that what you thought? So here's the equation to match the pens 10 plus 10 is equal to 20.

Let's say the stem sentences together, "He has 20 pens." 20 is two groups of 10.

10 plus 10 is equal to two tens, which is equal to 20.

And there I can see his two packs of pens.

Let's check your understanding, which equation matches this problem.

Sam said, "I spent 80 pence, so she's going to buy some pieces of fruit." They're all 10 pence.

So which equation will match the problem? Remember she's going to spend 80 pence.

So I wonder how many pieces of fruit she'll buy.

Pause the video while you think about this one.

What did you think about this one? So if she spent 80 pence, it must be the middle equation.

There are eight groups of 10 and that is equal to 80 pence.

How many pieces of fruit did Sam buy? She said, "I bought eight pieces of fruit." Here's a task for you to have a go at.

Can you match the problems to the correct equations and write a problem for the last one? So here we've got three problems. The first one says, "Sam and Lucas show 10 fingers each, how many fingers are showing in total." So which of those equations matches that problem? The second problem says Lucas buys three pieces of 10 p fruit.

How much will this cost? So which equation matches that problem? Then it says, "Sam buys eight boxes of eggs with 10 eggs in each box." How many eggs is this? Which equation matches that problem? You can also work out the total or sum.

Now there should be one equation that hasn't got a problem matched to it, so can you write a problem to match the last equation? Here's the second part of your task.

Solve the problems and complete the equations by adding multiples of 10.

So here we've got four problems for you to read and see if you can complete the equations with more groups of 10.

So the first problem says, "How many children are needed to show 60 fingers?" The second problem says, "How many pieces of 10 p fruit can Sam buy for 50 p?" The third problem says, "Lucas needs 70 eggs." How many boxes of 10 does he need to buy? And finally, how many bunches of 10 flowers will 40 flowers make? So pause the video while you have a got your tasks.

How did you get on with your tasks? Did you match the problems to the correct equations and write a problem for the last one.

So first of all, we had Sam and Lucas show 10 fingers each, how many fingers are showing in total? Well, that's two groups of 10, so I can see it matches up to 10 plus 10 is equal to 20.

Then we had Lucas buys three pieces of 10 p fruit.

How much will this cost? That matches to the top equation, doesn't it? We've got three groups of 10 and that is equal to 30.

Then we've got Sam buys eight boxes of eggs with 10 eggs in each box.

How many eggs is this? That matches to the bottom equation.

I can see we've got eight groups of 10 and that is equal to 80.

So we were left with an equation with seven groups of 10.

So I wrote a problem that says, "Sam buys seven bunches of 10 flowers, how many flowers did she have in total?" And that is seven groups of 10, which is equaled 70.

How did you get on with the second part of your task? Did you solve the problems and complete the equations by adding multiples of 10? So first of all, we had how many children are needed to show 60 fingers? So I can see we've got six groups of 10 and that's equal to 60.

Then we've got how many pieces of 10 p fruit can Sam buy for 50 pence.

So you should have five groups of 10 there, and that's equal to 50.

Then we've got Lucas needs 70 eggs, how many boxes of 10 does he need to buy? So you should have seven groups of 10 there, and that is equal to 70.

Finally, how many bunches of 10 flowers will 40 flowers make? Well, I can see we've got four groups of 10 there and that's equal to 40.

We've come to the end of our lesson, well done everyone.

Today we were representing multiples of 10 in an expression or an equation.

This is what we found out.

Multiples of 10 can be represented with addition of tens, an equation can represent the addition of tens.

10 plus 10 plus 10 is equal to three tens, which is equal to 30.

And we can use this stem sentence for any multiple of 10.

So 10 plus 10 is equal to? That would be two tens wouldn't it? Which is equal to 20.

And you can use that stem sentence for any of the multiples of 10.

Well done everyone, see you soon.