Area/Volume/Surface Area
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View: Lyric Explanation
Here is a flat rectangle
Area of the base equals length times width
Let’s make it 3 dimensional
Area, base times height
Volume into it?
A pyramid, a special case, a square base
That volume equals 1/3 B times height
A surface area - the outer space
Add the area of all the sides
Chorus:
First we identify the base
Is this a circle, square, or a rectangle?
Once we know, we find the area for that shape
Multiply the base times the height
To get the volume of 3 dimensional prisms
Base: length times width
But for circular cylinders
We’ll be needing pi
I have a flat flat circle
Area of the base equals pi r squared
Lets make it 3 dimensional
Volume equals base times height
Filled with air
A cone, a special case, a circular base
That volume equals 1/3 B times height
Surface area, the outer space
Add the area of all the sides
To find the surface area:
Of a cylinder - 2 pi r squared + 2 pi r (height)
A rectangle - 2 (length times width) + 2 (height times width) + 2 (length times height)
Now a cone - pi r squared + pi r (l)
L is length, not height
Yea a pyramid - take the base
Add 2 times a side times the l just right
We have another flat circle
Area of the base equals pi r squared
This sphere is 3 dimensional
Volume 4/3 pi r cubed
Filled with air
2 cones in there that share a circular base
That’s only part of what can fit inside
Surface area all around the space
4 pi r squared, will cover what is outside
2 Responses to “Area/Volume/Surface Area”
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Blogging platforms support video. Recently, I attended a Lodge McCammon session on using multimedia to enhance student engagement and construct understanding. We were given a recording of and lyrics to a song about finding the volume and surface area of various 3D objects. We were given about 20 minutes to put together a music video that enhanced the content of the lyrics. We went before the camera and caught our work on film. Obviously, the act of making that planning and recording that music video reinforced those lyrics for me, and by the time I left, trust me, I could tell you a whole lot more about math than I could have when I arrived that morning. You can see our video here — I am in the “Base – Morning White” group. (The finished product is, well, corny, but remember that the goal was for us to learn that content, not create the next MTV sensation). Try that with your students, and then POST THAT VIDEO on your class blog. Kids will come back to watch it again, and even if they are just coming back to watch their cool dance moves, every time they view it they are reinforcing their learning. Need songs/lyrics? Look here!
[…] on using multimedia to enhance student engagement and construct understanding. We were given a recording of and lyrics to a song about finding the volume and surface area of various 3D objects. We were given about 20 minutes to […]