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Do Now: Write three pieces of evidence that told us that the earth was round.

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Page 1: Do Now: Write three pieces of evidence that told us that the earth was round

Do Now:Write three pieces of

evidence that told us that the earth was round.

Page 2: Do Now: Write three pieces of evidence that told us that the earth was round

Aim: How do we measure the shape and size of the earth?

Topic: Unit 1Main Idea: Eratosthenes’s Method

http://www.youtube.com/watch?v=0JHEqBLG650
Page 3: Do Now: Write three pieces of evidence that told us that the earth was round
Page 4: Do Now: Write three pieces of evidence that told us that the earth was round

1) What is the true shape of the earth?

The earth is a slightly flattened sphere called an

“oblate spheroid”.

Page 5: Do Now: Write three pieces of evidence that told us that the earth was round

Observations of the shape of the horizon, how ships disappear and lunar eclipses.

2) How do we know about the shape of the earth?

Page 6: Do Now: Write three pieces of evidence that told us that the earth was round

He was able to calculate the circumference (distance around) the earth with great accuracy.

3) What did Eratosthenes discover about the earth?

Page 7: Do Now: Write three pieces of evidence that told us that the earth was round

The height of the sun decreases as you move away from the equator.

4) What happens to the angle of the sun as you travel north or

south of the equator?

Page 8: Do Now: Write three pieces of evidence that told us that the earth was round

Angle of the sun = distance

360o circumference

or

Circumference= (360 )(distance)

angle

5) What formula did he use?

Page 9: Do Now: Write three pieces of evidence that told us that the earth was round

24,901 mi – 24,662 mi X 100 24,901 mi 239mi X 100 24,901 mi

0.96% !!!

6) Eratosthenes calculated the circumference of the earth to be 24,662 km while it is actually 24,901 mi. What was his

percent deviation?

Page 10: Do Now: Write three pieces of evidence that told us that the earth was round

(360o)(2 km) (9o)

720o.km

9o

80 km

Summary:A new planet is discovered and measurements using

Eratosthenes’s method are as follows: distance (S) = 2 km angle (L) = 9 degrees. Calculate the circumference of the new planet.


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