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Welcome to AREA 51
Using Student Responders
To respond to a question:
Wait for polling to open.
Select your response
You do not have to turn on your responder, it is ready to go.
Welcome to AREA 51
Crop circle image 1
Insert image of a crop circle design.Example: http://science.howstuffworks.com/science-vs-myth/unexplained-phenomena/crop-circle.htm
Example crop circles can be foundathttp://www.stonehenge-stone-circle.co.uk/crop-circles.htm
Crop circle example can be found athttp://www.ufo-reports.com/crop-circles.html
Real Crop circles tour Google Earth
Crop circle image 3
Crop circle image 4
Crop circle image 5
Crop circle image 6
Crop circle image 7
Why Circles?
They are co
ol ...
Farm
ers are
ab...
Crops g
row bet..
.
Crops a
re w
ate...
25% 25%25%25%
1. They are cool to look at.
2. Farmers are able to plant more crops.
3. Crops grow better in circle plots.
4. Crops are watered more efficiently.
Crop circle with radius1
Center pivot 2
Center pivot 1
Why Use Center Pivot Systems?
PROS (advantages)
CONS(disadvantages)
Why so close?
Why so far apart?
Why So Close?
Farm
ers want t
...
We have plenty...
It is
easier f
...
It is
easier t
...
25% 25%25%25%1. Farmers want to
make the most of limited space.
2. We have plenty of land
3. It is easier for farmers.
4. It is easier to construct the irrigation system
Crop circle with radius2
What is Area?
The distance
a...
The amount of ..
.
The amount of ..
.
The sum of t
he...
25% 25%25%25%1. The distance around a shape.
2. The amount of 2-D space inside a boundary.
3. The amount of 3-D dimensional space an object occupies.
4. The sum of the sides of a shape.
An Area Answer Tells Us . . .
How m
any squar..
.
How m
any cubic.
..
How m
any units...
33% 33%33%1. How many square units are in a 2-D space.
2. How many cubic units are in a 3-D space.
3. How many units are in a line.
Area fill-in1
1 square = 1 square meter
Area fill-in1
AREA:
AREA:
AREA:
Area of a Parallelogram?
Side+Sid
e+Side...
Length
/Width
25% 25%25%25%1. Base●Height2. Side+Side+Side+Side3. Length÷Width4. ½ (Base●Height)
Rectangle
Calculating Square Units
Parallelogram
Same 2 Dimensions
Rearranging Sections
Same Area as Rectangle
Formula chart
Base •Height
bh
Area of a Triangle?
base•h
eight
base
•height
2•base•height
base
•height
25% 25%25%25%
31
A. base•heightB. base•heightC. 2•base•heightD. base•height2
1
31
21
Why is a Triangle’s Area ½ Base x Height?
Formula chart
½Base • Height (½ bh)
Area of a Circle?1
Area of a Circle?1
Area of a Circle?2
Area of a Circle?3
Area of a Circle?4
Area of a Circle?5
RED: Half the circumference = Length
ORANGE: Radius = Width
Area of a Circle?
𝜋 • r • r=
𝜋r2 2𝜋r 𝜋r
2𝜋r • r =
2𝜋r2
25% 25%25%25%A. • r • r= r2
B. 2rC. rD. 2r • r = 2r2
RED: Half the circumference = Length
ORANGE: Radius = Width
Formula chart
𝝅 𝒓𝟐
How Much Land is Wasted?
Wasted Land Calculations
Area of Farm Sum of the Circle’s Areas
LandNOTUsed
Percent of Farm NOT Used
Farm Area2.70 km2
Farm NOT Used.91 km2
33.7% Farm Not Used
Farm Area2.70 km2
Farm NOT Used.91 km2
.91÷ 2.70= .337 ● 100=
33.7%
Did the Farmer Maximize His Land?
Gre
at job!
He did oka
y, c...
Horri
ble job.
33% 33%33%1. Great job!2. He did okay, could
have been better.3. Horrible job.
Find the Area of Your Plot?
Each half inch = 2 meters
Complete Your Design Chart
Find the Area of Your Plot?
And the area is…
And the area is…
Circle systems
10 meters
6 m
eter
s
4 m
eter
s
8 meters
What’s Your Design?
Utilize as much land area as possible.
Circles must stay in your boundaries and not overlap.
Label your work
Be creative with your circles and pattern.
Circle areas
10
met
ers
8 m
eter
s
What’s Your Design?
6 m
eter
s
4 m
eter
s
Utilize as much land area as possible.Circles must stay in your boundaries and may not overlap.Label your work and record answers in your table.Be creative with your circles and pattern.
Percentage of Land Not Used?Results % Land Used % Land NOT Used
Our Farmer 66.3% 33.7%
One Final Task
51
Msic logo
How Much Does it Cost?
How Much Does it Cost?
Land Not Used vs. Cost
