Fraction Intro/Review

So I'm going to share with three other people. If I split it in half, then I go, wait, that only gives me two pieces. And there's four of us, maybe if I split it into four equal pieces, now we each can have one out of four pieces. So really a fraction is just. A piece of a hole, okay? And we're going to write that. So it's a race all this. Then we're going to say a. Fraction is a piece. Of one hole. What if we wanted to talk about a fraction as something that we're familiar with? Because we use fractions in our everyday life. So for instance, an orange, everybody likes a yummy orange, let's draw an orange. Okay, here's my orange. And I'm going to shade it in. And let's say once I've unpeeled it, my orange actually has ten slices inside of it. 

Okay, so one, two, three, four, 5, 6, 7, 8, 9, and ten. Okay. So remember, my whole orange has ten pieces inside. And I want to share with just one other friend. So there's going to be me. And let's say my friend's name is Jane. And we're going to share this orange. Okay, there's two of us, and we want to make sure that we both have the same amount. Right, so what I'm going to do is I'm going to get one slice, so there's one slice for me. And now Jane gets one's slice. There's a slice for Jane. Now, I get one slice. He was a slice for me. Then Jane gets one slice. There's a slice for her. And I get a slice. Then Jane gets a slice. The knee again, then Jane again. Then me. And then Jane, and now we both have 5 slices. Except remember, this came from one hole. So there were ten slices I have 5 out of ten, and now Jane has 5 out of ten. So I can write that as a fraction. 

I have 5 lieutenant. Jane has 5 of ten. Okay, we can also draw it as a circle if that's helpful. Instead of showing in his pieces, we can say our orange has ten pieces on the inside, so now we're gonna make a nice big circle. And we're gonna show how to evenly split it. So here it goes in half. Now it's in fourths. Here's eighths. In here is tense. And I'm gonna use blue for me this time. I have one, two, three, four, 5 slices. I have 5 of ten slices still. Okay? And now Jane still has one, two, three, four, 5 slices. She still has 5 to ten slices. Except when we look at it this way, we can see that my 5 of ten slices is actually equal to one half of the orange. In Jane's 5 of ten slices is equal to one half of the orange. This is called an equivalent fraction. Because 5 tenths is equal to one half. Okay. 

So now, we can try another example. Okay? And let's say in this example, we are going to picnic. To a picnic. Okay. And a tray of brownies. Knees. To be. Shared, by 8 people. How? Can we cut it? So that everyone gets a piece. Okay, so here's our question. And we've all been to picnics or birthday parties or holiday celebrations where there's that one yummy dessert, we want to make sure that everybody can have some. So let's draw our tray of brownies. Okay, so there's a try. And I'm going to cut it in half first. And I have 8 people, so here's our context clue right there. 8 people. We want to make sure that everybody gets at least one piece because we have a tray. A means there's only one there. Okay. So we'll cut it in half. And now we're going to make sure that we have at least 8 pieces here. Okay? So if I cut my Brown, if I cut my tray brownies this way, I have one, two, three, four, 5, 6, 7, 8 pieces, okay? If one person takes a slice, that means that they've had one of the 8 pieces. 

Then, if two people take slices, now two out of the 8 pieces are gone. And if three people take a slice, that means that three of the 8 pieces are gone. And if four people take slices, that means that form the 8 are gone. Okay? And if I were to show that, that means that this one's gone, and so is this one, and so is three, and so is four. And when we look at it that way, we can say, well, hey, wait a minute. Half my tray is gone. Four of the 8 pieces are gone. That means that one half of them are gone. And we have another equivalent fraction. And we can see it visually. We see that we started with 8. Now we have four left. Okay? And guess what? Half our tray is gone. So we can say that four eighths is an equivalent fraction to one half. And we're right that word a quiz. Fractions. Okay, so this was just a nice, fast lesson to help get you introduced to equivalent fractions. We use some real examples, and then we also use just a regular visual with some circles that you guys can create in your notes if you need to. Okay, you can always look back at this lesson for some extra help or for review. And that's it.