(bright music) - Well, hey, everybody!

I'm just here trying to measure how tall these towers are, I was counting up how many blocks or how many levels there were in each of these towers.

And this one came out to be 12-blocks high, this one came out to be 9-blocks high, I know by just looking at it that this one's taller, right?

But what if I want to get specific and say, "Well, by how much?"

"How many more blocks or how many more levels does that one take?"

And so, we can actually figure this out, and one of the ways we can do it is by using a number line.

Let's draw this out on a number line, and we know that our taller tower was 12-blocks high, we know our shorter tower was 9-blocks high.

If we mark those two spots on the number line, and then we can actually count backwards to figure out from 12 to 9 how many that is.

Well, I can start at my 12, and then, let's count the spaces back on our number line.

So we'd go from 12 to 11, there's one, and then we go down to 10, and then down to 9, which is the height of our shorter tower, and we've done it.

So how many did we have to go back?

Well, 3, so that means our taller tower is 3 levels higher than our shorter tower.

And that, actually leads into our story problem of the day.

That idea of being able to measure something, and know exactly how much taller or shorter something is, is what we're going to be working on.

And I have a problem for us, and it actually takes place in a city in Arkansas.

Hot Springs, Arkansas has a Mountain Tower on it, and there, the Hot Springs Mountain, you can actually go and see this tower.

And it's on top, and then it measures 216 feet up in the air which is really tall.

And so, did you know though, that's not the only tower that has been there?

There was actually a previous one called the Ricks Tower, and one before that, that was the original tower built in that spot.

And so, what we want to do today is we want to figure out, how much taller is our tower that exists now than those previous ones?

And we're going to use a different measurement, and not just feet, we're going to change that to meters.

Meters is another measurement tool that we can use.

There's inches, we know about inches, feet is larger, and then meters is actually about 3-feet long just over it.

And so, it might be about this long.

Let's get to the problem, and you know what we need?

We need our handy-dandy chalkboard.

(Joel claps) (whimsical music) There we go, now we're ready.

Let's look at this.

As we get into this problem, we know the measurements of these towers.

The Mountain Tower that is there now is the tallest, it's 66 meters tall, the Ricks Tower was 50.

Well, how much taller is our tower that exists now?

We can figure that out just like we did with our blocks.

We can say, 66.

And then, if I take away the 50, we used subtraction earlier, so let's use subtraction here.

66 minus the 50, that's going to be what is left over.

I can break that 66 into 6 groups of 10, right?

60 and then it would have 6 left over, okay?

If I take away 5 groups of 10, because I know 60 minus 50 is 10, well, that kind of helps us out.

But remember, 66, there was not only the 6 groups of 10, but there was 6 more so we have the 6 left over.

So 10 and 6 is 16, that means that our tower that is there now, the Mountain Tower, is 16 meters taller than the Ricks Tower that existed previously.

Can we figure out how much the Mountain Tower that is there now was than the original tower?

Let's see if we can compare those heights.

We used subtraction last time, and there's different ways to solve this problem, different strategies.

Let's try and use addition this time.

Let's start with our smaller one, the original tower was 23-meters tall.

If I take that and I start with my 23, how much taller, how many meters do we have to add onto that to get to our Mountain Tower height of 66 meters?

23 plus some number has to get us to 66.

Well, we can do that in a variety of ways, let's do it by adding 10 at a time.

23, if I add on 10, that would be 33.

Add on another 10, 43, another 10 is 53, and then, 10 more is 63.

Now we're getting really close to 66, right?

We added 4 groups of 10 so that would be 40.

But remember, that only got us to 63, we want to get to 66.

So, how many more do I have to add on to get to 66?

Well, 3 more, so 40 plus 3 is 43.

That means our tower that exists now is 43 meters taller than that original tower that was there in Hot Springs.

That's some great problem solving today.

Thanks for joining me and you all did amazing, we'll see you again real soon.

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