Welcome to AREA 51

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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