Math Park
Comparing and Ordering Fractions
11/24/2021 | 16m 8sVideo has Closed Captions
Order fractions with the same numerator and different denominators using bar models.
Compare fractions with the same numerator and different denominators. Compare and order fractions using bar models. Represent one whole using a fraction with equal numerator and denominator.
Problems playing video? | Closed Captioning Feedback
Problems playing video? | Closed Captioning Feedback
Math Park is presented by your local public television station.
Math Park
Comparing and Ordering Fractions
11/24/2021 | 16m 8sVideo has Closed Captions
Compare fractions with the same numerator and different denominators. Compare and order fractions using bar models. Represent one whole using a fraction with equal numerator and denominator.
Problems playing video? | Closed Captioning Feedback
How to Watch Math Park
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(Bell Ringing) (Children cheering) - Get ready for a very special super-duper math class.
We're going on a field trip where learning math is tons of fun.
Our destination is, the math park.
(Cheering) (upbeat music) - Howdy Chipmunks.
Welcome to math park.
I'm park ranger, A. Rith Metic.
But you can call me ranger Rick.
- Hi there.
I am honest, Dan, your pie, man.
I want you to come by and get some pie.
I've got the best deals in town.
- Well, what kind of deal is this?
- Well, just look at the sign.
As you can see, I normally charge $1 for one fourth of a piece of pie, but today I'm charging $1 for one eighth of a piece of pie.
That's the same price for a much bigger slice.
Pretty good deal.
Don't you think?
- Well, what do you think math chipmunks?
(children booing) - I don't understand.
- Well, take a look at this.
- Oh, I didn't know you had one of those.
- Yep.
I've been working on it in my spare time.
Now what we have here is one fourth of a pie.
One fourth is shaded red.
Now here is one eighth of a pie.
Now you're trying to say that one eight is larger than one fourth.
- Well, I.
- It's obviously clear that one Fourth is larger than one eight.
And one eighth is smaller than one fourth.
- Well, I guess the joke's on me.
You can't call me honest Dan anymore.
- Oh, that's okay.
That's an innocent mistake.
You know, I'm feeling a little peckish myself.
I'd love to have a piece of pie, but I don't have any cash on me.
- Well, that's no problem at all because I take Pie pal.
(drums) (Rock music) - Comparing fractions.
- Hey look, it's the math park salsa dancers.
And they've got fractions this time.
Now let's look, Roberto has a bar model and it has four parts, and one out of the four shaded red.
So one fourth, of this bar model is red.
And Janet has a bar model with three parts.
And one part of the three is shaded red.
So one third of her bar model is red.
So what goes between them greater than, or less than?
That's right.
Less than because one fourth is less than one third.
Oh, I wonder if they're going to do what they used to do.
You know, that's when they would trade places.
Yep.
There they go.
They're trading places.
Now what goes between them?
Greater than.
Because one third is greater than one forth.
You guys are so good.
Even with fractions, you still do a great show.
See ya later.
- This portion of math park is brought to you by Homer Carey.
No math problem is too tough for Harry.
Watch this.
- (sigh) How am I ever going to figure this out?
Well, lucky for me, I have homework, Harry.
(Piano Music) - Homework, Harry at your service.
What seems to be the problem?
- My math homework is all about comparing fractions.
Look at this one.
I have one third and one sixth.
I'm supposed to decide whether greater than or less than goes in between them.
- So it would help if you knew which fraction is bigger.
- Yes.
But how do I do that?
- You can draw a picture.
- That's great.
I love to draw pictures.
I love to draw pictures of horses.
- No, that's not what I mean.
I'm talking about bar models.
Now look.
One-third of this bar is shaded in.
That's one third.
The other bar model is one sixth.
One sixth of the bar is shaded in.
Now, which one is bigger?
- One third is larger.
So one third is greater than one sixth.
- Absolutely.
- Wow.
Drawing a picture really helps.
Let's try another one.
- Okay.
- This one has two thirds and three fourths.
This one seems tricky.
- Not so tricky, when you draw a picture.
- And you have the ability to make them appear on the paper.
- Glad you like it.
Now.
Here's a bar model of two thirds.
Two thirds of the bars shaded in, next to it is a bar model of three fourths.
Three fourths of the bar model is shaded in.
now which one is larger?
- Three fourths is larger than two thirds.
So I would put a less than sign in between them because two thirds is less than three fourths.
- You're such a smart girl.
Smart girl, smart girl, smart girl, smart girl, smart girl.
Smart.
Girl.
- Harry?
Harry?
I guess he needs new batteries.
(Loose Spring) - Bar models made comparing fractions, easy.
Four sixths, and three eighths.
How do we figure out?
Which goes between them greater than, or less than?
First, let's draw a bar model for four sixth.
We've shaded in four sixth of the bar.
Then under it let's draw a bar model for three eights.
We've shaded in three eighths of the bar.
Which one is larger?
That's right, four sixth.
So four sixth is greater than three eights.
Lovely.
- And now it's time to play.
Who's got the bigger fraction?
Our contestants are Kat and Scott.
Round one.
Let's see who's gonna win.
And we got our fraction generators up there.
Okay, get EM spinning.
Let's see what fractions are going to come up with.
Here we go.
And one half for Kat and five sixth for Scott.
Who has the bigger fraction?
It's Scott!
Because five sixth is bigger than one half.
Congratulations Scott.
Round two, Okay.
Get those fractions generators up there.
Let's see where they're gonna stop.
There it is.
They stopped four ninths for Kat, and three fourths for Scott.
who has the bigger fraction?
Once again, it's Scott.
Because three fourths is bigger than four ninths.
Lucky for you, Scott.
Round three Kat, hang in there.
Maybe you'll win this round.
Good luck to you.
Okay.
Last round.
Here we go.
Fractions generators are up there and make EM spin.
It stopped six eighths for Kat, two fifths for Scott.
who has the bigger fraction?
Look at that.
The winner is Kat.
Congratulations, because six eight is bigger than two fifths.
Congratulations, Kat for winning round three.
And thank you both for playing ,who's got the bigger fraction.
(calm melody) - Thanks for new batteries, Kat.
It was very embarrassing.
Freezing up like that.
- Well, I'm glad you're doing better, because I have a whopper of a problem.
- Here to be of service.
What's the problem?
- I have these three fractions and the direction say to put them in order from least to greatest.
- That means we start with the smallest fraction and then each fraction should get larger.
- Well look at them.
Two thirds, one fourth and two sixth.
I don't know how to do this with a fractions written in standard form.
- What did we do last time?
We ,were comparing fractions.
- Right.
And how did we make it easier?
- Oh yeah.
We used bar models for each fraction.
That way I can easily see the size of each fraction.
Right?
- Makes sense to me.
- Can you make a bar model appear for two thirds?
- Sure can.
- Great.
And one fourth?
And now two, sixths.
- This looks great.
- Now remember.
The directions tell you to put them in order from least to greatest.
- So I'm going to start with the smallest one.
- Exactly.
- Which one is the smallest?
One fourth.
So it should go first.
- What's the next largest after one fourth?
- Looks like two sixth to me.
- Me too.
- So I'll put that next.
And then two-thirds will be the last because it's the greatest.
(Melody music) - Good girl.
Good girl.
Good.
Just kidding.
- Thanks Harry.
You know, all this work is making me hot.
I think I'm going to turn on the fan.
- No, no, no.
- Oh no.
Harry?
Harry, where are you?
- On the floor.
- Lucky thing you had a parachute.
(upbeat music) - What's that?
we know it's like a hole in the ground.
- Yeah, but I don't get it.
What's that got to do with learning fractions?
- Oh, not very much, but this does.
- Oh that's the word whole too.
- Well, W H O L E means like the whole apple, the whole banana, the whole pumpkin, the whole city, the whole country, the whole earth, the whole universe.
- I get it.
- Good.
- And now here's the numerator and the denominator to explain more about the concept of whole.
- I'm the numerator and I'm the denominator.
Look at this.
We have a bar model showing fourths.
The denominator is four.
Now all four spaces are shaded red.
The numerator is four, four fourths.
And another way to look at it is the whole bar is shaded.
Red.
Four fourths is the same as one whole.
Now check this out.
This bar model is cut into three pieces.
So the denominator is three.
Now all three pieces are shaded red.
So the numerator is three, three thirds.
Three thirds is the same as one whole.
Ten tenths is the same as one whole.
Eight Eighths is the same as one whole.
Hey bro I think they get it.
Two halves is the same as one whole.
Seven sevenths is equal to one whole.
Wow he Just fell into one hole.
Hey bro.
How is it down there?
It's kind of interesting down here.
- Ah.
(Japanese music) - Hiya Ah!
Oh!
(Trumpet playing) - Did you hear that?
That means math park is closing for today.
Until math park reopens.
I salute you math chipmunks.
(children cheering) - Next time Math park takes to the road, to the sky and to the sea to learn about fractions of a set.
Don't miss it.
- Math park is presented by lucky cat productions.
(upbeat music)
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Math Park is presented by your local public television station.