Fall 2007 Reports and Photos
|St. Jude School : Final Report
||Collège Antonin Perbosc, Lafrançaise , France
Our school is located in a suburb of Montreal, Canada, at 45:29N (latitude) and 73:29W (longitude). We are 28 students in grade 5(class5IA). Our teacher, Mrs. Mirza introduced this project to us in September. She explained to us how Eratosthenes performed a simple experiment 2200 years ago to measure the circumference of the Earth. His calculation is still considered accurate today by scientists.
We went on the Noonday website and did some research. At first, the whole idea appeared quite complicated to us. Most of us had trouble understanding some ideas and how they were going to help us determine the circumference of the Earth. But as we got more involved, the process started to become clear.
We carried out the shadow measurements on September 21 st 2007, which was as close as we could get to the Autumn Equinox (September 23 rd). The shadow measurements (99cm) at high local noon time (12:48pm) helped us determine our sun angle which was 44 degrees.
The next step was to choose a partner city whose sun angle could help us find the central angle. We decided to select Abba’s Orchard in Philippines, as it is far away. Their sun angle was 8.4 degrees. The difference between the two became our central angle, that is, 35.6 degrees.
Now Mrs. Mirza showed us how the central angle could be compared to a slice in a big circle. We could then understand that the arc of the central angle represented the distance between the two cities. Once we knew the North/South distance between us and Abba’s Orchard, by subtracting the 2 latitudes, we could then multiply the arc’s length with the number of slices in a circle. These are some of our calculations:
No. of slices= 360°divided by 35.6 degrees
N/S distance= 4 116.25 km
Circumference of the Earth = 4116.25x 10.1 = 41, 574.12 km
Conclusions : We learned a great deal from this project. We now know how knowledge of angles helps us in real life, how the circumference is calculated and much more. Before doing this project we didn’t know a lot about latitude and longitude and what these lines help us find on the globe.
All of us are very proud of our learning. We can see how Math, Science and Technology work together in any scientific study.
Students of Class 5IA
|Collège Antonin Perbosc, Lafrançaise , France
| 6 classes and 150 students have participated to the project.
We were lucky to have sun for all the measurements that we planned, except on the day of the equinox (23/09/2007). All the classes could calculate the circumference with a real partner. We never had those conditions on the European project. We apologize for not being able to publish all the results. We selected schools that had a photography.The other measures have been used for the final written test .
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Stanford, Kentucky USA, Home school
distance: 733km circumference: 42221km
New York, USA, The Dwight School
distance: 372km circumference: 42291km
Wharton, New Jersey USA, MacKinnon Middle School
distance: 370km circumference: 44400km
Yuba City, California, USA, Riverbend Middle School
distance: 559km circumference: 38454km
Adélaïde, Australia, Hamilton Secondary college
distance: 8791km circumference: 40401km
Warren, Oregon, USA, Warren Elementary School
distance: 187km circumference: 38106km
Chillicothe, Ohio , USA, Unioto High School
distance: 530km circumference: 38288km
Baungon, Philippines: The Abba’s Orchard
distance: 3968km circumference: 39865km
Arras, France, école Lafontaine
distance: 683km circumference: 37828km
Maricopa, Arizona, USA, Wells Middle School
distance: 1231km circumference:42206km
Gulf Breeze, Florida USA, Oriole Beach Elementary
distance: 1529km circumference: 37961km
Virginia Beach, USA, Princess Anne Middle School
distance: 820km circumference: 40346km
New York, Brooklyn, USA ,Brooklyn Friends School
distance: 413km circumference: 49560km
Wrocław, Poland, Liceum Ogólnokształcące
shadow: 118.5cm (gnomon : 102cm)
distance: 776km circumference: 64468km
Placerville, California, USA, Herbert Green Middle School
distance: 604km circumference: 43488km
Naples, Florida, USA, Pelican Marsh Elementary
distance: 2004km circumference: 64128km