Script
for the Google Earth Tour of Ohio
Introduction Welcome to our measurement tour of Ohio where
we will travel around the state finding many interesting
things
to measure!
We will begin our measurement tour of
Ohio by taking off from Wright-Patterson Air
Force Base near Dayton.
Farmland
Toledo Airport
Welcome to the Toledo Airport!
Our first destination
here will be a farm close by.
Farmland — Introduction
Our first stop on our measurement tour of Ohio will
be this farmland outside of Toledo. Notice
the interesting shapes
of the different farms.
Farmland — Part
1
Most people think farms are all rectangular,
but farmland comes in all shapes and sizes.
Sometimes
a farmland can
be an irregular shape.
Still the farmer
needs to know how big the land is to know how much
fertilizer
to buy
and how
many seeds
to
plant. To
determine how much land a farm covers,
will you need to know perimeter, area or
volume?
Farmland—Part 2
To determine the amount of land covered
by this farm, you would use the area.
Now
let’s figure out the area
for the light-colored farm to the right.
Because
it is not a simple shape, we need to estimate
the area. Notice
the
grid on
top of
the farm. Each
square is
one acre (4,840 square yards).
Count
the number of full squares and partial
squares and
then combine
the
amounts together
to get an estimated
area
for this farmland.
Farmland — Part
3
So how many acres did you get? Since
this is an estimate, your answer will
probably
be different,
but here is
an acceptable answer.
There are about
26 full squares covering the farm, which would
be 26 acres.
Then there are 21 partial squares covering the farm.
If we count each
partial square
as half
an acre,
then the partial
squares would cover 10.5
acres (21
divided by 2).
So altogether there would
be about 36.5 acres covering the farm (26 plus
10.5).
Now we are off to Cincinnati
for our next measurement site.
King’s Island
Cincinnati Blue Ash Airport
Four our second stop on the measurement tour
of Ohio, we have arrived in Cincinnati.
Our
destination will be a popular amusement park nearby.
King’s
Island — Introduction
Our next stop is at the King’s
Island amusement park.
You can learn
more about this park online at http://www2.paramountparks.com/kingsisland/.
King’s Island — Fountain
Part 1
When you first enter King’s
Island, you will see a large fountain.
To
keep people from jumping in the fountain, there needs
to be a fence
around it.
To determine the size
of the
fence, will you need to measure the
perimeter, area or volume?
King’s
Island — Fountain
Part 2
To measure the distance around the
fountain you will need to find the
perimeter.
Now use the measuring tools
to determine the perimeter of the fountain in
feet.
King’s Island — Fountain
Part 3
What did you get for the perimeter?
Did you get something close to this?
P
= 2 x length + 2 x width
P = 2 x 325 ft + 2 x 82 ft
P = 650 ft + 164 ft
P = 814 ft
King’s Island — Fountain
Part 4
Now let’s figure out how much water it takes
to fill the fountain.
Will this be a
measure of perimeter, area or volume?
King’s Island — Fountain
Part 5
To measure the amount of water in
the fountain, you will need to find
the volume of the
fountain.
Let’s say the fountain
is 2 feet deep. Us the measurement
tools
to find the volume
of the
fountain in cubic feet.
King’s
Island — Fountain
Part 6
What did you get for the volume?
Was it something close to this?
V
= length x width x height
V = 325 ft x 82 ft x 2 ft
V = 53,300 cubic feet
OK, now let’s head off
to our next destination.
Landfill
Landfill — Akron Airport
For our third stop, we land northeast
Ohio at the Akron Airport.
We
will now travel a bit north to reach our real destination.
Landfill — Introduction
Our next stop is a landfill and
water treatment plant near
Akron. There are
some interesting
shapes here,
especially circles.
Landfill — Tank Part 1
To measure circular objects like
this storage tank, you need
to measure special
parts of
a circle.
One important measure
is the radius. Use the measurement
tools to
determine the
length of
the radius in feet.
Landfill — Tank
Part 2
The radius of a circle is
the distance from the
center of the
circle to the
edge of the
circle.
For this tank did you
get something close to 35 feet?
Now determine the
length of the diameter. There are two
ways
to do this. Do you
know both?
Landfill — Tank
Part 3
The diameter is the distance
across a circle through its
center.
Did you measure the
diameter to be about 70 feet?
Or did you know that
the diameter is always twice the size
of the radius. Therefore:
d = 2 x r
d = 2 x 35 ft
d = 70 feet
Now that you know the radius
and diameter, can you
find other
measures, such as
the circumference?
Landfill — Tank
Part 4
The circumference is the distance
around a circle. You
calculate it with the formula
C = pi
x d
Did you get something like
this?
C = 3.14 x 70 feet
C = 219.8 feet
Finally can you calculate
the area of a circle?
Landfill — Tank
Part 5
To find the area of the circle,
you use the formula A = pi
x radius 2.
Did you get an answer like
this?
A = 3.14 x 352
A = 3.14 x 1,225
A = 3,846.5 square feet.
Next on our trip, we head
to the state capital.
Ohio State
Ohio State — Columbus Airport
Welcome to Columbus, the capital
of Ohio!
Also the home
of the Ohio State Buckeyes…
Ohio State — OSU
Stadium
Here we are at the OSU
Stadium. Football is
a game full of
measurements.
Ohio State — Field
Part 1
Most people think of
a football field as being
100 yards
long. But that does
not include the
end zones.
Use the measurement
tools to find out how
long in yards the
entire
field is.
Ohio State — Field
Part 2
So what did you find
as the measure of the
field?
Did you
get something
close to 127 yards?
How
many feet long would that be? Remember that
there are 3
feet in 1
yard.
Ohio State — Field
Part 3
How many feet did you
get? Since feet are smaller
than
yards,
you should
get more feet
than yards.
This means
you need
to multiply the number
of yards by how many
feet in
a yard.
Number of feet
= 3 x number of yards
Number of feet = 3 x
127 yards
Number of feet = 381
feet
Well, we have one
more stop on our measurement
tour
of Ohio…
Rock and Roll
Rock Hall — Cleveland Hopkins
Airport
For our final stop we arrive
in Cleveland!
Let’s
head up to the
coast
of Lake
Erie to do our
final measurements.
Rock
Hall — Rock
and Roll Hall
of Fame
Cleveland is
home to the Rock
and
Roll Hall of
Fame.
The building
is
made of
many exciting
shapes.
We
will learn about
areas of triangles
at this stop.
You
can learn more about the
Rock and Roll
Hall of Fame
at
http://www.rockhall.com.
Rock Hall — Windows
Part 1
The Rock and
Roll Hall of
Fame has
a large triangular
wall made
up of
windows.
How
many square meters
of glass make
up that wall?
That is a measurement
of its area.
To
find this area we will
need to
measure the base and the height.
Let’s
use the bottom
side
of the triangle
for the
base. Use
the measurement
tools to
find its length
in meters.
Rock
Hall — Windows
Part 2
How long did
you measure the
base
to be? Did
you get about
70 meters?
Now
we need to measure the
height of the triangle.
This
is a line
segment that
is perpendicular
to the base
and connects to the
vertex
opposite from
the
base.
Use the
measuring tools to measure
the height
in meters.
Rock Hall — Windows
Part 3
What did you
get for the height?
It should
be somewhere
around
33 meters.
Now
we are ready
to find the
area of the
triangle.
A triangle
looks
like a
parallelogram
cut in
half. That
makes its formula
Area
= base x height
divided
by 2
A = (b x
h)/2
Use your
measurement
tools to
calculate
the area of the
triangular wall.
Rock Hall — Windows
Part 4
Your area should
have come out
close to this
Area
= base x height divided
by 2
A = (b x h)/2
A = (70 x 33)/2
A = 2,310/2
A = 1,155 square
meters
Conclusion
Thanks for taking
this measurement tour
of Ohio!
There are many more
things you
can measure using Google
Earth.
Take some
time to
explore to
see what you can
do. Some ideas
might include:
Finding geometrical shapes from land, roads
and buildings
Measuring the perimeter, area or volume
of what you find
Measuring distances between locations
and determining the time
it will take to travel or the cost it would take for gas
Mapping out a walking
path in your neighborhood and determining its
length
Whatever
you come
up with,
have fun
and keep
measuring.
|