Understanding fractions as sets of objects

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Maths3rd grade (Eureka Math Squared-aligned)2:353 check-ins

About this video

Iman and her mom share 8 flowers equally. The video makes a fraction bar for all the flowers, splits it into eighths so each flower is 1/8, and shows that each person gets 4/8, which is the same as 1/2.

You'll be able to

  • use a fraction bar to show a set of objects as one whole.
  • say what fraction one object is of a set.
  • show a fair share of a set as a fraction like 4/8.

Key words

fraction bar
A bar that stands for one whole, split into equal parts.
whole
All of something; here, all 8 flowers together.
eighth
One of 8 equal parts of a whole, written 1/8.
equally
In a fair way, so everyone gets the same amount.
Transcript

- [Narrator] We are told Iman and her mom bought the flowers shown in the picture from the market. Okay, these are the flowers here, there's eight of them. They wanna divide the flowers equally between them. Which fraction bar out of these choices here represents the number of flowers each person will have?

So you could pause this video and have a go at it, and then we'll do it together. All right, now let's do it together. Now, before I even think about fraction bars and what that even means, let's just think about this straight up. We have eight flowers here. They're gonna divide them equally between them.

So half of them could go to Iman and then the other half could go to her mom. All right, that's straight enough. But that's straightforward enough. But that's still not fraction bars. So what do we mean by fraction bars? Well, one way to think about it is if we make a bar as the whole.

So let's make this the whole of all of the flowers. Now each flower is what fraction of the whole? Well, there's a total of eight flowers. So each flower, for example, this one right over here, this is 1/8 of all of the flowers. So let me take our whole and divide it into eighths.

So that's dividing it into halves. This is fourths, I'm trying to do is equal sections. It's hand drawn, so it's not perfect. And then if I split each of these, this is into eighths. Imagine that these are all equal areas. Now, so each of these, this is an eighth.

This is an eighth. This is an eighth, that's an eighth. I think you get the idea, that's an eighth. Each of these boxes represent an eighth. If you take them all together, you have 8/8, which is a whole, and that's all of the flowers. So each of these, that flower there, you could say that's that eighth, if you wanna think about it that way.

So they say, which fraction bar represents the number of flowers each person will have? So we could pick either Iman or her mom. Let's just pick Iman. So how many of those eighths does Iman have? Well, Iman has not just 1/8, that's one of the flowers. She has two, three, four flowers.

Two, three, four flowers So it's actually four of those eighths. So what Iman has is 4/8 of all of the flowers, which you might also recognize as being 1/2 of the flowers. But which of those fraction bars represents that? Well, we see that right over here. Choice D, they split it into eighths.

Each eighth represents a flower, and Iman gets half of them, and they shaded in half of 'em right over there. So we like this choice.

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