Question Video: Decomposing Groups of up to 5 Things into Pairs | Nagwa Question Video: Decomposing Groups of up to 5 Things into Pairs | Nagwa

# Question Video: Decomposing Groups of up to 5 Things into Pairs Mathematics

Emma has 5 blocks. She put them into two groups and found that 5 is 2 and 3. How else can she make five? Hint: make two groups with 5 objects. [A] 5 is 5 and 1. [B] 5 is 2 and 2. [C] 5 is 1 and 4.

03:58

### Video Transcript

Emma has five blocks. She put them into two groups and found that five is two and three. And we can see a picture there of Emma saying that five is two and three. How else can she make five? Hint: make two groups with five objects. Five is five and one, five is two and two, or five is one and four.

This question is all about parts and wholes. To begin with, we’re told that Emma has five blocks. This is the whole amount, the total amount that Emma has. But we’re then told that Emma puts her five blocks into two groups. She splits them up or partitions them. And so, instead of having one whole amount of blocks, she now has two parts. And we can see how she does this in the picture. We call this sort of a picture a part-whole diagram. Let’s think about how Emma made her part-whole diagram.

So, to begin with, Emma had five blocks. This is the whole amount. And these are the five blocks that we can see in the top circle. And then, what she did was to split her five blocks into two groups. What we’ll do is we’ll move our five blocks into two groups so we can see how she found her answer.

In the first group, she put one, two blocks. And in the second group, she was left with one, two, three blocks. And that’s how she knows that five is two and three. Now, the question asked us, how else can she make five? And to help us answer the question, we’re given a hint. We’re told to make two groups with five objects. Let’s go through each of our three possible answers to find out which is correct.

Our first possible answer says five is five and one. Let’s use our part-whole diagram to see if we can split five into five and one. Our first part needs to be made up of five blocks. One, two, three, four, five. We’ve used up all of the blocks. There are five blocks in one part and zero blocks in the other part. So, we can see that five isn’t five and one. It’s actually five and zero. Let’s put a little cross by this statement so that we remember it’s not right.

Our second statement says five is two and two. Let’s partition our whole amount into two and two. One, two. One, two. We’ve still got one more block that we need to split up. Let’s add it to our second part. We have two in the first part and three in the second part. We can see that five isn’t two and two. It’s two and three. Let’s put a cross by that.

We only have one more possible answer. Can Emma split five blocks into one and four? Let’s see. One, now, how much is in our second group? One, two, three, four. We had five objects. And we’ve made two groups out of them. And so, another way that Emma can make five is by splitting or partitioning her blocks into one and four. Five is one and four.

## Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

• Interactive Sessions
• Chat & Messaging
• Realistic Exam Questions