Lesson video

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.

This lesson is called, Add 2 numbers that bridge through 10, and it comes from the unit, Calculating within 20.

By the end of this lesson, you should be able to add 2 numbers that bridge through 10.

Let's have a look at our keywords for this lesson, number pair, partition, let's practise them.

My turn, number pair, your turn.

My turn, partition, your turn.

Wonderful, now that we've practised them, let's use them.

Let's have a look at the lesson outline.

In the first part of our learning, we are going to explore adding 2 addends that bridge 10, and in the second part of our learning we are going to record our thinking using equations.

So let's get started with the first part, exploring adding 2 addends that bridge 10.

In this lesson you're going to meet Laura and Andeep.

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

Are you ready guys? Let's get started.

The children create a problem in their classroom using chairs.

There are 10 spaces on the bottom deck of the bus and 10 on the top.

There are 8 children on the bottom deck.

5 more children get on.

How many children will be on the bus altogether? Hmm? What's going to happen here then? There are 8 children on the bottom deck already.

So 2 children will fill up the bottom deck and 3 children will move up to the top deck.

So how many children are there altogether? We can see that we have 10 children on the bottom deck and 3 children on the top deck.

10 add 3 is 13.

The 3 becomes the one digit when added to 10.

So let's represent this problem using a ten frame and counters.

There were 8 children on the bus and 5 more children got on.

So this is 8 plus 5.

2 children can fit on the bottom deck and 3 children went up to the top deck.

We have made 10, so we need another ten frame to represent the top deck.

We can see that we have 10 and 3 more.

So we know that 8 plus 5 is equal to 13.

Okay then, let's have a practise of this then, over to you.

On the journey back, there are 7 children on the bottom deck of the bus and 7 more children get on.

Can you represent this story on your ten frame to find out how many children will now be on the bus? Use the stem sentences from our previous story to help you.

Mm children sit on the bottom deck and mm children move to the top deck.

There are mm children now on the bus altogether.

So using your ten frame and those stem sentences, can you find out how many children will be on the bus altogether? Pause this video and come on back to see how you got on.

Welcome back, I hope you enjoyed retelling that story with your ten frame and I hope those stem sentences helped you.

Let's have a look.

There are 7 children on the bottom deck of the bus and 7 more children get on.

So 3 children sit on the bottom deck and 4 children move to the top deck.

There are now 14 children on the bus all together.

Your story should have sounded a little bit like that.

Let's have a look at what our ten frame should have looked like.

You might have represented the story like this.

There are 7 children on the bus and 7 more children get on.

So this is 7 plus 7.

3 children can fit on the bottom deck and 4 children have to go onto the top deck.

We can see that we now have 10 and 4 more.

So 10 add 4 is equal to 14.

So we know that 7 plus 7 is equal to 14.

There were 14 children on the bus altogether.

Well done to you if your story sounded like mine and if your ten frame looked a little bit like mine.

Laura and Andeep discussed the problem that they have just solved.

"Look, first we added to make 10, then we added the rest." "Oh yes, I did, but I had to split the 7 counters into 3 and 4 to do it," because we only had space for 3 children on that bottom deck, remember.

The 4 children had to go up to the top deck.

Oh, "Remember, Andeep, when we split numbers, we call that partitioning." Andeep partitioned 7 into 3 and 4.

So he could make 10 first, then he added the 4.

So let's explore these steps a little further.

First, we partitioned the 7, 3 and 4 is equal to 7.

We used the 3 counters to add to 7 to equal 10.

Then we added the 4 counters to 10 to equal 14.

So let's recap those steps.

First I partitioned the 7, 3 add 4 is equal to 7, then 7 add 3 is equal to 10 and 10 add 4 is equal to 14.

Let's have a practise at using these stem sentences.

So using our stem sentence, can you explain the steps that are shown here? So have a look at those red counters.

First we partitioned the mm, mm add mm is equal to mm.

Then mm add mm is equal to 10 And 10 add mm is equal to mm.

Pause this video, look really carefully at our ten frame representation to see if you can complete the stem sentence.

Come on back once you think you've done it to see how you get on.

Welcome back.

I'm hoping you had a thorough look at that representation and could see the steps that we'd taken.

Let's have a look and complete our stem sentences.

First we partitioned the 5 counters 'cause we had 5 counters into 2 and 3.

So 2 add 3 is equal to 5.

Then we had our 8 blue counters already.

So 8 add 2 of those red counters is equal to 10.

Then 10 add 3.

That other part is equal to 13.

So let's recap our steps.

First I partitioned the 5, 2 add 3 is equal to 5.

Then 8 add 2 is equal to 10 and 10 add 3 is equal to 13.

Well done to you if you completed the stem sentence that sounded like mine.

Over to you then for task A to practise using these stem sentences.

Use your ten frame to solve these problems and use the stem sentence to explain what you've done.

A, there were 9 children on the bus, then 4 more children got on.

Now there are mm children on the bus.

B, the farmer had 6 chickens, then she bought 8 more.

Now there are mm chickens altogether.

And C, Jacob scored 7 points for the team.

Then Sophia scored 4 more points.

Now the team has mm points.

Using your ten frame and those stem sentences, can you find out how many children are on the bus, how many chickens there are and how many points the team has got? Come on back once you've got an answer for A, B, and C to see how you've got on.

Welcome back.

I hope you had lots of fun with your ten frame and counters there, and also use those stem sentences to get talking about what you were doing.

Let's have a look.

A, there were 9 children on the bus, then 4 children got on.

Now there are mm children on the bus.

Come on then Laura, let's use that stem sentence and find out the answer.

"9 counters on and 4 are being added." So first we partition the 4, 1 and 3 is equal to 4, because remember we need one more to make 10, then 9 add 1 is equal to 10 and 10 add 3 is equal to 13.

"So there will be 13 children on the bus all together." Well done to you if you worked out that there were 13 children.

The farmer had 6 chickens, then she bought 8 more.

Now there are mm chickens.

"6 counters on my ten frame and 8 are being added." First we partitioned the 8, 4 and 4 is equal to 8.

Then 6 add 4 is equal to 10, and 10 add the other 4 is equal to 14.

Well done to you if you said that there were 14 chickens altogether.

And C, Jacob scored 7 points for the team.

Then Sophia scored 4 more points.

Now the team has mm points.

7 counters are on our ten frame and 4 counters are being added.

First we partitioned the 4 into 3 and 1 because 3 add 1 is equal to 4.

7 add the 3 is equal to 10 and then 10 add 1 is equal to 11, so the team had 11 points, well done if you worked out that they would've had 11 points.

Well done for completing task A.

Let's move on to the second part of our learning, recording thinking using equations.

Andeep and Laura now want to represent what they have been doing in a different way.

They returned to the first problem that they solved.

"We started with 8 children and needed to add 5 more.

So let's write this as an equation." 8 to plus 5 is equal to something.

"Then the next step, we partitioned 5 into 2 and 3 to help us to make 10." Can you see, 8 and 2 are equal to 10, so let's show that.

8 plus 2 is equal to 10 and then we added 3, the other part when we partitioned our 5 to 10.

So 10 add 3 is equal to 13.

That's all of our steps.

We can now see that 8 plus 5 is equal to 13.

Can you see how those steps that we took from our ten frame has now been shown in the equations that Andeep and Laura have written on the right? So let's check that Andeep and Laura's calculations match up with our stem sentence.

First we partitioned the 5 into 2 and 3, because 2 and 3 is equal to 5.

Then 8 add 2 is equal to 10.

Can you see, we've circled 8 and 2 and we've written the equation underneath.

Then 10 add 3 is equal to 13.

Again, we've circled 3 and we've written the equation underneath.

So 8 add 5 is equal to 13.

Well done Laura and Andeep, your representation does match our stem sentences.

Well done, that's really gonna help us with our calculations today.

Shall we have a practise of them? So step one, making 10.

When we partition a number, one of the parts must give us a number pair to 10.

So here we partitioned 5 into 2 and 3 because we needed 2 to pair with 8 because 8 and 2 is a pair to 10.

Have a go at this step for yourself.

How could we partition 7 here to help us make 10? And can you record the equation and complete the stem sentence underneath? Pause this video and come On back once you've had a go.

Welcome back.

I'm hoping that that was nice and simple because we've done lots of partitioning and we've done lots of number pairs to 10.

So let's have a look.

We need to partition the 7 and our other addend is 7.

So let's think, hmm, 7 and 3 make 10.

So we need one of our parts to be 3.

What would the other part be? 4, well done Andeep.

3 and 4 combine to make 7.

So 4 is the other part.

We can see that first we partition the 7, 3 add 4 is equal to 7, that's our stem sentence.

Now we've partitioned 7, we can now complete the next step to make 10.

So we now have 7 and 3.

So 7 add 3 is equal to 10.

Well done if you completed that first step of making 10.

Let's move on to step number 2.

Step number 2 is now finding the sum.

So once we make 10 we can add the remaining parts.

So here 3 is the part that we had left.

So 10 add 3 would give us the sum, which is 13.

So we add that other part to the 10 that we've just made.

Over to you then.

So here's the steps that we've just done.

Can you now find the sum, pause this video, complete the equation, complete the stem sentence and fill in the final sum of 7 add 7 and come on back to see how you get on.

Welcome back.

Let's have a look then.

So we've done the first part.

Step 2, we now just need to find the sum.

So, "4 is the part that is left, so 10 add 4 will give us the sum." We know that 10 at 4 is equal to 14.

So 7 plus 7 is equal to 14.

Well done if you found that the sum was 14 and well done for completing our stem sentence and filling in our missing numbers.

Laura and Andeep now summarise what we've done.

So let's put all of those steps together.

First, we partitioned the 7, 3 and 4 is equal to 7.

Then 7 add 3 is equal to 10, we made 10.

So 7 plus 3 is equal to 10 and 10 add 4, which is our other part, is equal to 14.

We now know that 7 plus 7 is equal to 14.

Yes, Laura, your steps do work, well done.

"Now we don't need to use a ten frame every time," because we have a written representation that we can use.

"We can even start to do these calculations in our head now because we have these steps." You can Andeep, you're right, well done.

Okay then, over to you.

Let's see if you can put all of those steps together to fill in the missing numbers from this model.

Use the stem sentences to help you, pause this video and come on back once you've found a solution to the problem and completed all of the missing parts.

Welcome back, I'm hoping that you use those steps really carefully to help you and that you found it quite simple once you followed our steps.

Let's have a look at what Laura was thinking.

We know that 9 and 1 pair to make 10.

So we have to partition 6 into 1 and 5 because we need that one to make 10.

So let's complete the stem sentence.

First I partitioned the 6, 1 and 5 is equal to 6.

Well done if you've got that step.

Now the next step, we make 10.

So 9 add 1 is equal to 10.

We now need to add the other part to find the sum.

So 10 add the other part, which is 5, is equal to 15.

So we know that 9 plus 6 must be equal to 15.

Well done to you if you completed all of those steps and found that the sum was 15.

The best way to become more confident with all of these steps is to keep practising.

So let's do this in task B.

Task B is to fill in the missing numbers to solve these equations.

You can see that we've got all of those steps and you can use those stem sentences to help you through each part.

So have a go at A, B, and C, filling in all of those missing numbers to solve the equations and come on back when you are ready to find out how you've got on.

Welcome back.

I'm hoping after all of that practise you are feeling so much more confident with this strategy.

Let's have a look at how Andeep got on.

5 must be the missing parts here because we can see that 8 has been partitioned into 3 and something.

So 5 must be the missing number.

Then 7 add 3 is equal to 10 and 10 plus 5 is equal to 15.

So we can see that 7 plus 8 is equal to 15.

Well done Andeep, let's have a look at B.

We haven't got any numbers here to help us.

We are partitioning 8, which is the same as question A, but this time we need the parts to make 10 with 4.

So 6 has to be one of our parts.

So we partition 8 into 6 and 2.

4 plus 6 is equal to 10, and 10 plus that other part, which is 2, is equal to 12.

4 plus 8 is equal to 12.

Well done Andeep.

In C, Andeep notices that he's partitioning 8 again and he can do it in the same way, but this time he needs 2 to make 10 because his other addend is 8.

So he's going to partition 8 into 2 and 6.

8 plus 2 is equal to 10 and 10 plus that other part, which is 6 is equal to 16.

So Andeep now knows that 8 plus 8 is equal to 16.

Well done to you if you manage to find the sums for A, B, and C, well done for completing task B.

I hope you're beginning to see that the more you practise this strategy, the more confident you'll become and hopefully soon you'll be able to complete this in your head like Andeep.

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

We can partition one of the addends to make a number pair that totals 10 with the other addend.

We can use number facts to partition an addend.

Thank you again for all of your hard work.

Remember, practise is the key to becoming more confident in this skill.

I hope to see you all again soon for some more maths learning.

See you soon.