(upbeat music) Hey, everybody.

I'm just here using my old gumball machine.

You know, you put the quarter in, turn the knob and a gumball spits out.

And this one I got, hey, is a little blue.

So now this reminds me of this story that a couple of years ago.

True story.

I was at this place and there was this candy machine and I hit this button and it spit out different colored candies, and it was really cool.

But before you actually got the candy, it gave you a graph, a picture of all the different colors that you got.

It sorted it out and organized it and it gave you this graph.

It was really cool.

And it reminds me of something.

Our math problem for today.

And we're going to do something similar.

Let's imagine that I have done and turned this gumball machine several times and now I have all these different colors of gumballs and we want to organize it in a way so that we can see the information clearly.

Well, how could we do that?

There's a couple of different ways.

We could use a table to where we kind of organize that information or a chart or a bar graph.

And today, let's look at a bar graph because it'll help us analyze all the different colors of gumballs we have.

So you know what we need?

We need something to kind of keep track of all of this.

I need my handy dandy chalkboard.

Chalkboard.

(claps) (whimsical sound) There we go.

Now we're ready.

So as I look at this bar graph, you can see some things right away as we look at it.

You can see, well, hey, there's these different numbers on the side and that's representing the number of gumballs for each color.

And across the bottom, you see the different colors that it's actually representing.

So we have green gumballs, we have red, white, yellow and blue gumballs.

And there's all different colors or different amounts of those colors, too, right.

Can you tell just by first glance, which color had the most gumballs?

Well, I can look at that and I can see on this bar graph it's going to be the one that's the highest, the tallest bar.

And so this green one goes up the highest.

And I can actually tell exactly how many green gumballs we have.

Right.

I can look at the side and see up to what line it goes to.

And it went up to nine.

So that means I had nine green gumballs out of all of these that I had.

Now, another thing we could do is we can actually compare with this, right?

The way that the bar graph organizes the information makes it really easy to compare different amounts.

So what if I want to say, well, how many more green, I know that was the most, how many more green gumballs did I have than blue gumballs?

Well, I've got to know two things.

Not only the amount of green gumballs, but the amount of blue gumballs, too.

So we know we have nine green ones, but what about the blue?

So I come over and I find across the bottom which one or which bar is representing the blue gumballs.

And I go, Okay, how tall is that?

It goes up to the five.

So that means I have five gumballs that were blue.

Remember, I had nine green ones.

So how can we figure out how many more that is for the green?

Well, two ways we can do that.

One, we could use addition or we could use subtraction.

Let's start with addition.

So if I'm going to use addition, I'm going to start with my blue gumballs and say, hey, I'm at five right now.

I want to get to nine.

Right, to know how many that would be.

So how many would I have to add so that it would equal the green?

We'll start at five and we can count on from there.

So we'd go six, seven, eight, nine.

That means we would have to add four blue gumballs to equal the same amount.

That means there's four more green ones right now that we have.

You could also use this with subtraction and say, Well, I have nine green gumballs.

Take away the five blue ones.

How many more are there?

Nine minus five is also four.

So either way, works, addition and subtraction.

Pretty cool, right?

Now, what if I want to know, Well, okay.

There's five blue ones.

Could I put a couple of colors together to equal the same amount?

All right, let's see if we can figure that one out.

That's a little bit harder question, a little more challenging.

I know that I'm going to have to choose two colors that had fewer gumballs than the blue.

So what are our options here?

We know green has the most.

Well, the ones that are less than blue are red, yellow and white.

So let's see if we can do that.

If I start with white, I can see, Well, there was only one white gumball.

If I add that with the red and put those together, one plus two gets me to three.

Well, I wanted to get to five, so that's not quite enough.

So what if I did the white and the yellow?

One plus three yellow?

That gets me to four, still not equal to five.

So let's try the other combination.

Red plus the yellow.

I know I had two red ones.

Three yellow.

If I add those together, now I'm at five.

So what does that tell me?

It tells me I have the same number of red and yellow gumballs combined that I do as my blue gumballs.

Pretty great stuff, right?

Bar graphs are awesome to organize information and help us see data clearly.

And so you know what you could do today?

You could organize things around you and create your own bar graph.

And that would be so much fun and also a great way to learn.