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Math 3: Scaling (Part 2) 49 Views
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Description:
Understanding images drawn to scale is vital in creating and understanding maps. It's also important if you want to draw a tiny town and be its steel-booted malevolent overlord.
Transcript
- 00:02
[Dino and Coop singing]
- 00:13
After the last lesson, you probably have a pretty good idea of how to make a map of a park. [Young girl drawing]
- 00:17
However, what if instead of making a map of a park…
- 00:20
…you wanted to make a map of an entire city?
- 00:22
That might sound intimidating…
Full Transcript
- 00:24
…but thanks to scaling, it's a walk in the park. [People walking a dog]
- 00:27
Or…a walk in the city.
- 00:28
You know what we mean.
- 00:30
Remember, the idea behind scaling is to take something really big…
- 00:33
…and represent it in a way that's incredibly accurate, just a lot smaller.
- 00:37
This idea is really important when we're trying to make a map of a park.
- 00:40
We look at all of the stuff in it…
- 00:41
…and represent smaller versions of it on a map. [Girl sat on a bench making a map]
- 00:44
This process works just as well if we're making a map of a city.
- 00:47
Let's see how this all works by looking at this city…
- 00:50
…and this map of it.
- 00:51
Much like with a map of a park, the map of the city is way smaller than the actual city. [Boy looking for the giant bridge which is behind him]
- 00:56
That means we can see where stuff is at a glance…
- 00:58
…instead of having to take four buses across town if we're wondering where a certain statue is.
- 01:03
Not that we've ever done that.
- 01:05
…Okay, fine, we took six buses, whatever.
- 01:07
And as we saw in our park map, we can see that all the real-life objects in the city [Person looks out of a bus at a tiny statue]
- 01:13
are shown in the map, just smaller.
- 01:14
For example, see that long, straight street that runs all the way across the city?
- 01:18
The map includes a smaller, similar shape.
- 01:20
That way people will know where this street is.
- 01:22
That said, big puddles don't generally end up on maps, so you still need to keep an eye
- 01:27
out if you're going for a walk.
- 01:28
Maps can't protect you from everything. [Boy reading a map falls into a giant puddle]
- 01:30
Unless you make a raincoat out of maps.
- 01:32
On second thought, maps are usually made out of paper, so you'll still end up pretty wet.
- 01:37
Also, much like in our park map, the map of the city shows the relative sizes of different
- 01:42
real-world objects.
- 01:43
Take a look at these parks in the city: one park is really big…
- 01:46
…while the other is much smaller.
- 01:47
And, as if you hadn't already guessed, our map also contains two parks: a big one…
- 01:51
…and a much smaller one.
- 01:53
Which one you decide to play in, that's up to you. [Children playing in a park]
- 01:55
And although maps make pretty crummy raincoats, they do make dandy kites.
- 01:59
…Nope.
- 02:00
Never mind. They make terrible kites. [Man using a map as kite looks dissapointed as it falls to the ground]
- 02:02
Man…maps are useless.
- 02:04
…Well. Except for…y'know. All the things we listed in this video. (Laughs) [Boy reading a map looks for the water fountain which is right behind him]
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