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Hello everyone.

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

As always, I can't wait to learn lots of new things and hopefully have lots of fun.

So let's get started.

Today's lesson is called add three addends, and it comes from the unit calculating within 20.

By the end of this lesson, you will be able to represent the addition of three addends.

Let's have a look at this lesson's keywords.

Addends, represent.

My turn, addends.

Your turn.

My turn, represent.

Your turn.

Wonderful.

Now we know how to say them, let's use them.

Here is this lessons outline.

First of all, we are going to explore the addition of three addends and then we are going to represent the addition of three addends.

Let's get started with the first part, exploring the addition of three addends.

Within this lesson, you are going to meet Laura, Aisha and Andeep.

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

Are you ready guys? Laura, Andeep and Aisha are playing a game.

They select a number of blocks in one hand.

They want to know how many they have altogether.

Hmm, Laura has two blocks, Aisha has three blocks and Andeep has one block.

Hmm.

How are we gonna work out how many they have altogether? Laura has two blocks, Aisha has three blocks and Andeep has one block.

Andeep has noticed that they have three addends here, two, three and one.

Can we find out how many they have altogether with three addends? Laura thinks that we can just add three numbers just like we would if we were adding two numbers.

Well done, Laura, you are correct.

So let's have a look.

There are two blocks, three blocks, and one block.

Well done, Aisha.

Altogether there are six blocks.

Can you see? Well done Andeep.

We can use this stem sentence throughout the rest of our learning.

So let's have a practise.

My turn.

There are mm mm and mm.

Altogether, there are mm.

Your turn.

Well done.

Remember this stem sentence 'cause it's really going to help us with our learning today.

Let's move on.

They try this one more time.

Have a look.

How many blocks have they picked this time? Hmm, Laura has got three blocks.

Aisha has got four blocks.

Hmm, what's Andeep got? Andeep got no blocks.

Unlucky this time, Andeep.

Now let's see how many are there altogether.

Laura has three blocks, Aisha has four blocks and Andeep has no blocks.

Because Andeep doesn't have any, we now only have two addends, Aisha thinks.

Do you agree with Aisha? Laura has suggested that we still have three addends because zero is a number, remember? So we have three, four, and zero.

There are still three addends.

There are three blocks, four blocks and zero blocks.

When we add zero, the sum doesn't change.

Well done, well remembered there Andeep from our previous learning.

The sum doesn't change.

So how many blocks will there be altogether? Three blocks, four blocks and zero blocks.

Altogether there are seven blocks.

Well done, Andeep.

Look, we can see that there are seven.

The zero didn't change anything.

So three and four is seven.

Seven blocks altogether.

Now it's over to you.

This time the children have collected 10 blocks.

What three addends have been added together.

Can you use the stem sentence to explain what we can see? There are mm mm and mm.

And we know that altogether there are 10 blocks.

Pause this video and have a practise creating your own stem sentence to explain this.

Come on back once you're ready.

Welcome back.

So Andeep, what did we find this time? There are five blocks, three blocks and two blocks.

Altogether there are 10 blocks.

Well done Andeep and well to you if your stem sentence was the same as Andeep's.

So we know we have five blocks, three blocks, and two blocks.

And altogether there are 10 blocks.

But how did Andeep find the sum of the blocks? He suggests that he can find the sum of the three addends in the same way that he does when he has two addends.

I agree with you Andeep.

Well done.

Andeep is going to represent his problem on a 10 frame.

He can represent all three addends on the 10 frame.

So let's have a look.

He will represent Laura's five blocks with five red counters.

Can you see? Now he's going to represent Aisha's three blocks with three yellow counters.

Can we see there? And finally he's going to represent his two blocks with two blue counters.

And can we see? We can see that altogether we now have 10.

The 10 frame is full.

So that must mean that there are 10 blocks.

Well done Andeep.

I love how you use the 10 frame there.

Do you think you could have a go at this? Let's have a look at this one.

How is Laura going to represent this on her 10 frame? Can you use the stem sentence to help you? I will represent mm with mm.

So Andeep did this before.

I will represent Laura's mm blocks with mm counters.

Remember to use that as you are creating yours to make sure that you are doing it correctly.

Laura has three blocks.

Aisha has two blocks.

And Andeep has two blocks.

Together they have seven blocks.

So can you represent this on your 10 frame? Pause this video, have a go and come on back once your 10 frame is finished.

Remember to use those stem sentences to help you.

Welcome back.

I hope you had fun there representing this on your 10 frame.

So let's have a look.

Laura, what are you gonna do first? She represents her three blocks with three red counters.

She represents Aisha's two blocks with two yellow counters.

And she represents Andeep's two blocks with two blue counters.

And can we see, she has seven blocks altogether because she has seven counters on her 10 frame.

Well done if your 10 frame looked like Laura's.

Good job.

Aisha now has a go at representing her turn on a 10 frame.

Which of these 10 frames is Aisha describing? Laura has two blocks, Andeep has three blocks and I have four blocks.

Altogether there are nine blocks.

Which of those 10 frame could Aisha be describing? A, B, or C? Pause this video and come on back when you think you've got an answer.

Welcome back.

I hope you had some time to investigate there.

Let's have a look then.

Laura has two blocks, Andeep has three blocks and I have four blocks.

Altogether there are nine blocks.

Hmm, I can see that A and C both have two red counters to represent two blocks.

I can also see that A and C both have three yellow counters, so that could represent three blocks.

But what is the difference between A and C? Hmm.

I can see that in A, we have four blue counters, which represents Aisha's four blocks.

Whereas C has five blue counters and Aisha doesn't have five blocks, does she? We also know that nine is our whole, nine is the sum.

And in C there are 10 counters.

So it must be A.

Well done if you selected A.

That, of course was the 10 frame that Aisha was describing.

Over to you then.

Task A is to work in groups of three and play your own version of Laura Aisha and Andeep's game.

Place 10 blocks into a bag and each one of you grab an amount out of the bag.

First create your stem sentence.

Mm has blocks, mm has blocks, and has mm blocks.

Altogether we have mm blocks.

Then can you represent what you picked onto a tens frame using the other stem sentence? I will represent mm blocks with mm counters.

Pause this video and come on back once you've had a chance to play the game a few times.

See you soon.

Welcome back.

I hope you enjoyed playing that game.

Let's see how Alex, Izzy and Jacob did.

Alex has four blocks, Izzy picks out one block and Jacob picks out three blocks.

Let's represent this on a 10 frame.

We'll represent Alex's four blocks with four red counters.

Well done Izzy.

She's going to represent her one block with one yellow counter.

And Jacob's going to represent his three blocks with three blue counters.

So how many do they have altogether? We can see that altogether, they have eight blocks.

Well done, Alex, Jacob and Izzy, and well done to you for completing your game.

Let's move on to the second part of our learning, representing the addition of three addends.

Let's return to Laura, Aisha and Andeep's first turn of their game that we looked at earlier.

So Laura had two blocks, Aisha has three blocks, and Andeep has one block.

Andeep thinks that they could show this as a part-part-part-whole model.

Good idea, Andeep.

Yes, we can do that, Laura says, but even though there are three addends, we still call it a part-part-whole model.

Well done.

Thank you for letting us know that Laura.

The children are going to create this part-part-whole model.

Are we ready to see? We know that there are three parts, two, three, and one because that represents our blocks.

And we know that we have six altogether.

So that's going to represent our whole.

Two is a part.

Let's put it as a part.

Three is a part.

So let's put it as a part.

And one is a part.

So let's put it as a part.

We know that six is our whole, so there is our completed part-part-whole model.

Well done guys.

The children now discuss what the part-part-whole model actually shows.

Laura notices that the two represents her number of blocks.

Aisha notices that the three represents her number of blocks and Jacob notices that the one represents his number of blocks, and that the six represents the sum or the whole when we add those three addends together.

Well done guys.

A beautiful part-part-whole model there.

Now it's over to you.

Another group of children create a part-part-whole model to represent their turn in a game.

Alex, Izzy and Jacob, can you see their blocks and can you see their part-part-whole model.

Can you use your stem sentences to describe each part of the model? So just like Laura, Aisha and Andeep just did, can you help Alex, Izzy and Jacob explain what their part-part-whole model shows.

Let's use our stem sentence.

The mm represents mm number of blocks.

Have a go at explaining what each part shows and come on back when you're ready to see how the other children got on.

Welcome back.

I hope you enjoyed exploring that part-part-whole model.

Shall we see how we got on? The five of course represents Alex's number of blocks because he had five blocks.

The one represents Izzy's number of blocks.

She has one block and we can see that there is a one in our part-part-whole model.

And finally the four represents Jacob's number of blocks.

Well done if you manage to explain that correctly.

Aisha now helps the children to find the sum of their three addends.

She's going to use a 10 frame to find it.

Alex has five blocks, so she puts five counters on a 10 frame.

Izzy has one block, so just one counter on our 10 frame.

And Jacob has four blocks so we represent that with four counters on our 10 frame.

To find out the sum we need to add together the three addends.

We can show this as an equation.

Part plus part plus part is equal to the whole.

So let's have a go at this.

Let's add together the addends.

We can see that we have five plus one plus four.

So Aisha's now going to add them altogether on her 10 frame.

And it looks like this.

Hmm? What is the sum of five plus one plus four? We can see that the 10 frame is full.

So the sum of five, one and four must be 10.

10 is the whole for the part-part-whole.

There are five blocks, one block and four blocks, and we now know that altogether there are 10 blocks.

Well done Aisha.

I'm really impressed.

Aisha now says that the equation could also be represented like this.

What has she done? Is she still correct? Hmm, I can see that she has swapped around the number 10.

The 10 was on the end, wasn't it? And now it's at the start.

She's now written this as the whole is equal to a part plus part plus a part.

Hmm.

Is this still correct? Of course it's still correct.

Well done, Aisha.

We can change the position of the equal sign because we know that it will still represent the same equation.

Okay then, over to you.

Can you help Laura create a part-part-whole model? She's shown her working on a 10 frame, but she's not sure how to represent this as a part-part-whole model.

Pause this video, complete the part-part-whole model and come on back to see how you got on.

Welcome back.

Let's have a look.

Laura can see that three is a part.

So she puts three into the first part of the part-part-whole model.

Three is also a part because we also have three yellow counters, look, that's part three as a part.

And finally there are two blue counters on the third 10 frame.

So we know that two is also a part.

Hmm.

So what's the whole, Laura? We can see that when we put all of the counters onto one 10 frame, there are eight altogether.

So eight is the whole.

Well done if you are part-part-whole model looks just like Laura's.

Laura now wants to represent this as an equation.

Can you help her to write the equation below the 10 frames? Remember we found the sum by adding together the three addends.

Pause this video, write the equation, and then come on back when you are ready to see how you've got on.

Welcome back.

Let's have a look then.

We can see that we've got three red counters.

So three must be one of our addends.

We've then got three yellow counters so three must be another addend, three plus three.

And finally we have our two blue counters.

So two must be our third addend, three plus three plus two.

And we know that the whole or the sum is eight.

So three plus three plus two must be equal to eight.

Well done, Laura.

The equation would be three plus three plus two is equal to eight.

Well done to Laura and well done to you if you got that correct too.

Okay then task B, over to you.

Part one is to complete the part-part-whole model and equation to match each picture.

Remember to use your 10 frame if you need some help.

So you've got A, B, C, and D.

You can see in each picture we can see the number of blocks that each child picked out.

So create a part-part-whole model and an equation to represent this.

Pause this video and come on back once you've completed task B to see how you've got on.

Welcome back.

Well done for completing task B.

Let's see how we got on.

Let's have a look at A.

So A, we can see that one is a part, three is a part and three is a part, and our whole was seven.

So the equation to represent this was one plus three plus three is equal to seven.

Let's have a look at B.

Oh, we can see that we have five blocks, three blocks, and one block.

So our parts are five, three, and one.

And we know that there are nine blocks altogether.

So the equation is five plus three plus one is equal to nine.

And C or a tricky one here because you can see that the hand in the middle hasn't got any blocks, so that must be zero.

Remember, zero is still a number.

We still have to represent that in our equation and in our part-part-whole model.

So four, zero and six are our parts and 10 is our whole.

The equation is four plus zero plus six is equal to 10.

Hopefully you recognise that four and six was a number pair to 10 as well.

That made that even easier for you to recognise.

And D, let's have a look.

Ooh, all of our parts are the same.

They all have three blocks each.

So we have three plus three plus three and the whole is nine.

So three plus three plus three is equal to nine.

Well done if you've got those correct.

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

There can be three addends in an addition equation.

We can represent this using a 10 frame, a part-part-whole model, or as an addition equation.

Well done for all of your hard work today.

You should be so proud.

Hopefully you are feeling so much more confident at adding three addends.

Hopefully I'll see you again soon for some more learning.

Goodbye.