Fractions As Part Of A Set

Hi, I'm Rebecca, and in this film, we're going to look at how to find fractions of a set. Now, children are usually introduced to finding fractions of a whole, for example, a half of a whole cake, a quarter of a whole pizza or a third of a whole chocolate bar. And finding fractions of a set can actually be a bit more tricky for them to understand. So let's have a look. Here I have a box of chocolates and the box represents the set. The chocolates represent the number of objects in the set. So I can see that if I find half of the box, I'm finding a half of eight, which is four. And children can use their understanding of finding fractions of a set to solve some more tricky problems. Here I'm asked, how many different ways could we pack these 12 cupcakes equally into boxes? There's lots of different ways we can do this. We could sort the cupcakes into two boxes so that each box would hold one half. We could sort them into three boxes. So that each box would hold one third. We could then sort them into four boxes. And then each box would hold one quarter. At this point, you'd want pupils to see the link between the fact that the denominator is actually showing the number of boxes you're sorting the cupcakes into. And we could carry on to answer this question, because actually we. We could sort the boxes into 12 boxes with one cupcake in each. We could sort them into six boxes with two cupcakes in each, and we could actually sort them into one box with all 12 cupcakes in. So there you go. That's how to find fractions of a set.