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Math 4: The Area of an Area 21 Views
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Description:
Area = length x width. There. Now we've done our part to promote equality.
Transcript
- 00:03
[Dino and Coop singing]
- 00:13
Meet Fern.
- 00:14
Fern's favorite food is pizza. [Fern sat at a table with a pizza slice]
- 00:17
Fern’s birthday is coming up and her best friend Amelia wants to surprise Fern with
- 00:21
what she thinks is an awesome gift: [Amelia sat with a wrapped present]
Full Transcript
- 00:22
A pizza the size of a lunchroom table.
- 00:25
Ya know, Amelia dreams big and we like that about her. [Amelia stick her arms in the air and looks excited]
- 00:29
But if any of you are watching this and are thinking, what a great idea for a birthday present...
- 00:33
Stop thinking that immediately.
- 00:34
Never get anyone a table sized pizza, it's a dumb idea.
- 00:37
Well it is, anyway... back to the video. [Table of pizza falls to pieces]
- 00:40
To make her dumb plan work, and to make sure she gets just the right amount of dough, cheese and sauce
- 00:45
Amelia's gonna need to know the area of the tabletop. And Amelia's in luck because guess what... [Amelia mixing ingredients]
- 00:50
There's a formula for that.
- 00:51
If you need to know the area of a rectangle like, say,
- 00:54
a lunch table…
- 00:55
All you need to remember is that “Area” equals “Length” times “Width.”
- 00:58
So, if the table is 4-meters long and 2-meters wide… [Drawing of the table]
- 01:02
… we just plug those numbers into our formula…
- 01:04
… and see that 4-meters times 2-meters equals 8-meters squared.
- 01:07
Oh
- 01:08
And there’s one important detail to keep in mind when calculating area: Since we’re
- 01:12
multiplying measurements, our result will always be squared.
- 01:16
Just for fun, though, what if Amelia knew the area of the table, the length of the table, [The width of the table is rubbed out by an eraser]
- 01:20
but, for some reason, she didn’t know the width of the table?
- 01:23
No need to panic, because our previous formula can help us find a mysterious variable, too.
- 01:27
Not that you were panicking... Really, this is a pretty low stake scenario [Amelia puts a pizza into the oven]
- 01:31
We don't even know why Amelia's doing this...
- 01:33
We're just kinda going along for the ride... [Amelia walks out the kitchen]
- 01:35
So to find our mystery variable
- 01:37
We just have to work backwards.
- 01:38
First, we plug in what we know about the equation.
- 01:41
Then, we isolate our variable by dividing, always remembering that what we do to one
- 01:45
side of the equation, we have to do to the other side, as well.
- 01:48
In this instance, we’ll divide both sides by four meters.
- 01:51
What we’re left with is our missing variable: two meters. [The answer is written in red]
- 01:54
And now Amelia knows exactly how big a pizza she needs to make.
- 01:58
Though did she consider how hard it would be to toss an 8-meters-squared [The dough lands on Amelia's face]
- 02:01
piece of dough…
- 02:02
Or how she'd gift wrap a table sized pizza...
- 02:05
No, she didn't... Good job Amelia. Maybe next time stick to a gift card. [Amelia drops the giant pizza onto the floor]
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