A CIESE Collaborative Project
     
 
Spring 2009 Reports and Photos
Alghazaly High School, Teaneck, New Jersey, USA Võru Kreutzwald Gymnazium, Estonia
Sturgis Williams Middles School Sturgis, South Dakota, USA Farzanegan School, Tehran, Iran
Collège Antonin Perbosc, Lafrançaise FRANCE OŠ Preska, Medvode, Slovenia
Pak Turk International School, Karachi, Pakistan Ecole Le Tournesol, Beloeil, Canada
   
Alghazaly High School Teaneck, New Jersey, USA

Letter of Introduction
March 15, 2009

To the participants of the Noonday Project,

We are the 9th grade Geometry honors class of Alghazaly High School in Teaneck, NJ. Alghazaly is a small Muslim private school with caring students and staff. The latitude and longitude are 40.8797 N and 74.016 E. The mission of the school is to help students to develop into successful adults. In our school community, a great deal of emphasis is placed on having high moral and academic standards. Our students enjoy competing in events such as the Math League, the Science Olympiad, the Model United Nations, and Mock Trial. After learning about the Noonday Project, we hope to replicate the experiment performed by Eratosthenes of Alexandria who successfully measured the circumference of the Earth over 2000 years ago. We plan to use the Pythagorean theorem, trigonometric ratios, similar triangles, and our developing knowledge of circles to complete this task. Everyone in our class agrees that this project will give us a memory that we will always cherish and we extremely look forward to working with other schools to successfully conduct this experiment.

Thank you for this golden opportunity,

The 9th Grade Alghazalians

   

Final Report

To: Participants of the Noonday Project
From: Manal Darwish & the 9th Grade Geometry Honors Class at Alghazaly High School
Teaneck, NJ (40.8797 N and 74.016 E)
Re: Final Report for the Noonday Project 2009
Date: 4/11/09
Our class was divided into 8 teams. Our primary objectives included mimicking Eratosthenes experiment and having fun. We were challenged to develop our own apparatus. The last time our school participated in the Noonday project, the students were plagued with wind problems. Several teams in our class came up with creative ways to set up their meter stick or pole so that wind was a minimal issue. One group placed their wooden pole in a mixture of gravel, glass beads, and plaster of Paris. This mixture was set in an empty but clean cup of Noodles container. To ensure their readings were accurate on the day of the Noonday experiment, this group attached a string to their wooden pole. They tied a washer to the string and only took shadow measurements when the string was stable. Another group made their meter stick a part of a tripod design. The additional legs of the tripod were attached to the meter stick via the use of screws. The ends of the tripod were covered with clay to help the apparatus adhere to the ground. A third group made a wooden L-shaped platform to deal with the wind. Their meter stick was taped to the back.

We conducted the experiment a week later than we had originally planned. The week of the vernal equinox it rained during the time we had geometry during solar noon. We received permission from other teachers to be excused from class so that we could conduct this experiment. Many groups chose to place white bulletin board paper under their apparatus to see the shadow better as we performed the experiment in our school parking lot. The parking lot pavement made it difficult to see the shadow. The paper was taped down and or weighted down with stones that came from construction going on in our school! We averaged the sun angles obtained by each group and performed the remainder of the project with a sun angle of 40.14⁰. We partnered with the Equator and obtained a result of 40745.15 km. This is about 1.8% more than the actual circumference of the Earth! The cup of noodles/washer team had an error of less than 1% when they tried the calculations with their sun angle.

Many groups noticed that the sun angles of our school and others matched the angles associated with their latitudes. We also felt that using trigonometry to determine the sun angle was more accurate than using a scale drawing (we did both). All and all we had a wonderful time on a bright yet windy March day.

We would like to thank everyone that participated in the Noonday Project especially Mr. Greg Bartus. From our school, we would like to thank Sisters Nevine Elshazly, Afroza Bha, Basima Itani, Dunia Abbassi, and Fadia Darwish for their support.

Here are some pictures from a Powerpoint presentation. See the whole Powerpoint show here.

   

Sturgis Williams Middle School, Sturgis, South Dakota, USA

Our location is 44.4 degrees north and 103.5 degrees west. Sturgis is in the state of South Dakota in United States of America. We originally planned on measuring the angle of the sun on March 23, since our school was on spring break on the 20 th. As a back-up our teacher made a measurement on the 20 th because a strong storm front was being forecast for the week of March 23. Not only did it arrive with a fury but it was quickly followed up by another. We missed a total of 5 days of school from March 23 to April 4 th. We decided to go ahead and use the measurement made on the 20 th and make a follow up measurement when we could finally see the sun.

The shadow of the sun was measured using a craft stick, a 33cm ruler, and a meter stick. We decided to use the average of three different measurements of the craft stick shadow which was 10.8cm. The craft stick was 10.9cm long. The meter stick’s shadow was 99.5cm long and the 33.3cm ruler’s shadow was 33.0cm long.

Our first step was to replicate Eratosthenes experiment with a measurement using the equator as our first partner. To determine the distance to the equator we were given the choice of using: 1. A map and using the map scale to determine the distance, 2. Using the computer site Far and Away by typing in our latitude and longitude along with the equator’s latitude and longitude, 3. Multiplying 111km. times our latitude of 44.4 degrees north. Almost all of the students chose options 2 and 3 as their choice.

We plotted the angle and came up with four common measurements using a protractor. Those measurements were: 44 degrees, 44.5 degrees, 45 degrees, and 46 degrees.

We decided to report the 44.5 degree measurement of the sun’s angle and the computer distance of 4936km. The circumference figure of this group was 39,932km. The biggest reason for this was the .17% error rate. The 44 degree measurement was 40,385km and had a .96% error rate. The 45 degree measurement was 39,488km and had a 1.28% error rate. The 46 degree measurement was 38,629km and had a 3.4% rate of error.

 

Our classes then used the website of the Noon Day Project to look at who had data entered that we could use as a partner city. We chose: Meerut, India; Beloel, Canada;Sibiu, Romania; and Lafrancaise, France.

First, we determined the central angle by subtracting the angles of the sun and divided this into 360 degrees to determine how many central angles were in a circle. Next, we subtracted the latitudes of each city from our own latitude of 44.4 degrees. Then we multiplied the difference in latitude by 111km. to find the distance between Sturgis and our partner city.

Central Angle #of Angles Distance x 111km Circumference

Meerut, India 16.1 22.36 1717.17 38,395.9km

Beloel, Canada .87 413.79 105.45 43,634km

Sibiu, Romania 1.4 257.1 119.88 30,821km

Lafrancaise, France .43 837.2 35.52 29,737km

Each of the five classes chose two of the cities above to partner with. We came up with the same answers for each city listed. We also used Teaneck, New Jersey as a partner and came up with 25,927km as our circumference. Our percentage of error was figured using 40,000km as the baseline measurement. Using our partner cities above, we came up with the following percentages of error: 4%, 9%, 22%, and 25%.

Our classes finally did get to measure the sun. On March 27 th at 12:59 local time we quickly ran out to verify our angle and the sun’s shadow between the drifts and the next snow storm. Our final average was that the sun’s angle was 10.4cm long. We previously had used 10.8cm. Our mode was 10.8cm. Our central angle was 43 degrees which gave us a circumference of 41,325km rather than the 39,932km we had when we used the 10.8cm shadow measurement. We decided that our original measurements would remain on the website.

 

Our classes had a great time doing this project. The spring weather did not put a damper on the project. Thanks for giving us the opportunity to join in the fun.

 

 

   

Võru Kreutzwald Gymnazium, Estonia


Latitude 57° 50' 49'' N
Longitude 27° 00' 34'' E





Feliks’ team
Latitude 57° 50' 49'' N
Longitude 27° 00' 34'' E
Date of measurement 03/20/09
Height of the gnomon 80 cm
Lenght of the shadow 131 cm
Angle of the sun 58,588°

First partner - equator
Latitude 00° 00' 00''
Longitude 27° 00' 34'' E
Angle of the sun 0°
Distance from Võru Kreutzwald Gymnazium to equator 6427 km
Circumference 360° * 6427km / (58,558°-0°) = 39511,6 km

Second partner - Colegiul National Gheorghe Lazar Sibiu, Romania
Latitude 45°48' N
Longitude 24°9’ E
Height of the gnomon 95 cm
Lenght of the shadow 98 cm
Angle of the sun 45°53' = 45,891°
Distance to Colegiul National Gheorghe Lazar Sibiu, Romania 12,0469° x 111,111 km = 1339 km
Circumference: 1339 km * 360° / (58,588° - 45,891°) = 37964,9 km

Third partner - College Antonin Perbosc, France
Latitude 44°08' N
Longitude 01°15' E
Height of the gnomon 17 cm
Lenght of the shadow 17,7 cm
Angle of the sun 44°7' = 44,128°
Distance to College Antonin Perbosc, France 13,7136° x 111,111 km = 1524 km
Circumference: 1524km * 360° / (58,588° - 44,128°) = 37941,9 km

Fourth partner – OŠ Preska, Slovenia
Latitude 46°07´59 N
Longitude 14°24´38 E
Height of the gnomon 100 cm
Lenght of the shadow 97 cm
Angle of the sun 46°9' = 46,156°
Distance to OŠ Preska, Slovenia 11,7139° x 111,111 km = 1302 km
Circumference: 1302 km * 360° / (58,588° - 46,156°) = 37702,7 km

Fifth partner - Zaferaniyeh Educatinal Observatory, Iran
Latitude 35° 44' 39 N
Longitude 51°32'02''E
Height of the gnomon 62,5 cm
Lenght of the shadow 44,7 cm
Angle of the sun 35°34' = 35,572°
Distance to Zaferaniyeh Educatinal Observatory, Iran
22,1028° x 111,111 km = 2456 km
Circumference: 2456 km * 360° / (58,588° - 35,572° ) = 38415 km



Argo’s team
Latitude 57° 50' 49'' N
Longitude 27° 00' 33'' E
Date of measurement 03/24/09
Height of the gnomon 131 cm
Lenght of the shadow 199 cm
Angle of the sun 56,643°

First partner - equator
Latitude 00° 00' 00''
Longitude 27° 00' 34'' E
Angle of the sun 0°
Distance from Võru Kreutzwald Gymnazium to equator 6427 km
Circumference 360° * 6427km / (56,643°-0°) = 40847,4 km

Second partner - Colegiul National Gheorghe Lazar Sibiu, Romania
Latitude 45°48' N
Longitude 24°9’ E
Height of the gnomon 95 cm
Lenght of the shadow 98 cm
Angle of the sun 45°53' = 45,891°
Distance to Colegiul National Gheorghe Lazar Sibiu, Romania 12,0469° x 111,111 km = 1339 km
Circumference: 1339 km * 360° / (56,643°- 45,891°) = 44832,6 km

Third partner - College Antonin Perbosc, France
Latitude 44°08' N
Longitude 01°15' E
Height of the gnomon 17 cm
Lenght of the shadow 17,7 cm
Angle of the sun 44°7' = 44,128°
Distance to College Antonin Perbosc, France 13,7136° x 111,111 km = 1524 km
Circumference: 1524km * 360° / (56,643° - 44,128°) = 43838,6 km

Fourth partner – OŠ Preska, Slovenia
Latitude 46°07´59 N
Longitude 14°24´38 E
Height of the gnomon 100 cm
Lenght of the shadow 97 cm
Angle of the sun 46°9' = 46,156°
Distance to OŠ Preska, Slovenia 11,7139° x 111,111 km = 1302 km
Circumference: 1302 km * 360° / (56,643°- 46,156°) = 44695,3 km

Fifth partner - Zaferaniyeh Educatinal Observatory, Iran
Latitude 35° 44' 39 N
Longitude 51°32'02''E
Height of the gnomon 62,5 cm
Lenght of the shadow 44,7 cm
Angle of the sun 35°34' = 35,572°
Distance to Zaferaniyeh Educatinal Observatory, Iran
22,1028° x 111,111 km = 2456 km
Circumference: 2456 km * 360° / (56,643° - 35,572° ) = 41961 km




Richard’s team
Latitude 57° 50' 49'' N
Longitude 27° 00' 33'' E
Date of measurement 03/24/09
Height of the gnomon 131 cm
Lenght of the shadow 197 cm
Angle of the sun 56,377°

First partner - equator
Latitude 00° 00' 00''
Longitude 27° 00' 34'' E
Angle of the sun 0°
Distance from Võru Kreutzwald Gymnazium to equator 6427 km
Circumference 360° * 6427km / (56,377°-0°) = 41040,1 km

Second partner - Colegiul National Gheorghe Lazar Sibiu, Romania
Latitude 45°48' N
Longitude 24°9’ E
Height of the gnomon 95 cm
Lenght of the shadow 98 cm
Angle of the sun 45°53' = 45,891°
Distance to Colegiul National Gheorghe Lazar Sibiu, Romania 12,0469° x 111,111 km = 1339 km
Circumference: 1339 km * 360° / (56,377° - 45,891°) = 45969,9 km

Third partner - College Antonin Perbosc, France
Latitude 44°08' N
Longitude 01°15' E
Height of the gnomon 17 cm
Lenght of the shadow 17,7 cm
Angle of the sun 44°7' = 44,128°
Distance to College Antonin Perbosc, France 13,7136° x 111,111 km = 1524 km
Circumference: 1524km * 360° / (56,377° - 44,128°) = 44790,6 km

Fourth partner – OŠ Preska, Slovenia
Latitude 46°07´59 N
Longitude 14°24´38 E
Height of the gnomon 100 cm
Lenght of the shadow 97 cm
Angle of the sun 46°9' = 46,156°
Distance to OŠ Preska, Slovenia 11,7139° x 111,111 km = 1302 km
Circumference: 1302 km * 360° / (56,377° - 46,156°) = 46038,7 km

Fifth partner - Zaferaniyeh Educatinal Observatory, Iran
Latitude 35° 44' 39 N
Longitude 51°32'02''E
Height of the gnomon 62,5 cm
Lenght of the shadow 44,7 cm
Angle of the sun 35°34' = 35,572°
Distance to Zaferaniyeh Educatinal Observatory, Iran
22,1028° x 111,111 km = 2456 km
Circumference: 2456 km * 360° / (56,377° - 35,572° ) = 42497,5 km



Teacher Krista
Latitude 57° 50' 49'' N
Longitude 27° 00' 34'' E
Date of measurement 03/20/09
Height of the gnomon 130 cm
Lenght of the shadow 206 cm
Angle of the sun 57,745°

First partner - equator
Latitude 00° 00' 00''
Longitude 27° 00' 34'' E
Angle of the sun 0°
Distance from Võru Kreutzwald Gymnazium to equator 6427 km
Circumference 360° * 6427km / (57,745°-0°) = 40067,9 km

Second partner - Colegiul National Gheorghe Lazar Sibiu, Romania
Latitude 45°48' N
Longitude 24°9’ E
Height of the gnomon 95 cm
Lenght of the shadow 98 cm
Angle of the sun 45°53' = 45,891°
Distance to Colegiul National Gheorghe Lazar Sibiu, Romania 12,0469° x 111,111 km = 1339 km
Circumference: 1339 km * 360° / (57,745° - 45,891°) = 40664,8 km

Third partner - College Antonin Perbosc, France
Latitude 44°08' N
Longitude 01°15' E
Height of the gnomon 17 cm
Lenght of the shadow 17,7 cm
Angle of the sun 44°7' = 44,128°
Distance to College Antonin Perbosc, France 13,7136° x 111,111 km = 1524 km
Circumference: 1524km * 360° / (57,745° - 44,128°) = 40290,8 km

Fourth partner – OŠ Preska, Slovenia
Latitude 46°07´59 N
Longitude 14°24´38 E
Height of the gnomon 100 cm
Lenght of the shadow 97 cm
Angle of the sun 46°9' = 46,156°
Distance to OŠ Preska, Slovenia 11,7139° x 111,111 km = 1302 km
Circumference: 1302 km * 360° / (57,745° - 46,156°) = 40445,2 km

Fifth partner - Zaferaniyeh Educatinal Observatory, Iran
Latitude 35° 44' 39 N
Longitude 51°32'02''E
Height of the gnomon 62,5 cm
Lenght of the shadow 44,7 cm
Angle of the sun 35°34' = 35,572°
Distance to Zaferaniyeh Educatinal Observatory, Iran
22,1028° x 111,111 km = 2456 km
Circumference: 2456 km * 360° / (57,745° - 35,572° ) = 39875,5 km

   

Farzanegan School, Tehran, Iran

Name: Physic Date:3/11/2009
Student Worksheet: Class Letter of Introduction
________________________________________
INSTRUCTIONS

Basic Information

o Name of your school: Farzanegan

o Grade Level: 9

II. Location Information

o City: Tehran

o State / Province: Tehran

o Country: Iran

o Latitude : 35° 50َ N

o Longitude : 51°37َ E

III. Additional Information

We are students from Iran and our school is Farzanegan. Our school is not a usual school because we are talented students who have been chosen by an entrance exam.
We want to participate in this project because of our Physics class. This is not a usual Physics class because we have a class in which we can choose every subject we like: Physics, Biology, Computer, Chemistry, Mathematic, and …. In each class we are grouped according to the subject we like to know about and search. We participated in Physics class and we liked to know about the circumstance of the earth and that is why we are here.
We would like to communicate with different students from different countries to know about what they have done about their project and we can share our information.

   

Collège Antonin Perbosc, Lafrançaise FRANCE


Location : Avenue d'Aquitaine 82130 Lafrançaise FRANCE
44°08' N & 01°15' E
Located in the south-west of France countryside (3.000 inhabitants) .
17 km from Montauban (50.000 inhabitants),
70 km from Toulouse (650.000 inhabitants)

Grade and/or Subject Area
20 students from 10 to 15 years old of the astronomy club of the school are working during the lunch pause.

I post this message for my colleagues Daniela (Romania) and Tatjana (Slovenia) who worked with us on the European project for IYA-2009 with Mr Deepak Sharma (India).


Colegiul National Gheorghe Lazar Sibiu, Sibiu, ROMANIA
We had a partly cloudy day, but at around noon. We were lucky to have sunny weather for a few minutes.

Latitude: 45°48' N
Longitude : 24°09' E
Date : 20th march
Angle : + 45°53’ = +45,88°

Osnovna šola Preska , Medvode, SLOVENJA
Merjenje polmera Zemlje po Eratostenovi metodi na spomladansko enakonočje 2009

Latitude: 45°48' N
Longitude : 24°09' E
Date : 20th march
Angle : + 45°53’ = +45,88°


Jila Vigyan Club, Meerut, INDIA

in India we organized the experiment on different place like as, Meerut(Jahidpur and Modipuram), Jantar Mantar(Delhi), Barc -(Ahmad nagar) ,Banglore.

In kanpur ,three groups has been earth experiment under guidline Mr. O.N.Shukla.

Under the district science club, safalta inter college,modipuram has been completed this experiment on 20 march 09.

 

In this experiment there was six group ,three boys and three girls but accurate shedow was at 12.25 pm and group was Neha som, abhilasha chauhan,sweta goel,Asna and pooja sharma.these were the student of class 9 and class 11.
All experiment under the guidline Mr. Akash sharma and Rakesh kumar nandwani.

BaL Vigyan Bhawan, Jahidpur (Meerut)

Latitude: 29°00’ N
Longitude : 77°42’ E
Date : 20th march
Angle : + 29°06’ = +29,1°

Here is the report from our school:
Collège Antonin Perbosc
Lafrançaise, France

Latitude: 44°08' S
Longitude : 01°15' E
On the 20th march, the angle of the sun was 44°07'= 44,2°

For a better precision in the calculation of the circumference, we chose our partner school in
Pujato, Argentina.
Escuela Particular Incorporada Nº 1345

Latitude: 33°01' S
Longitude : 61°02' W
Date : 20th march
Angle : -37°03' = 37,0° (shadow towards south)

The distance between the parallels of the 2 cities is : 8756 km

The students enjoyed to echange their results with the schools of Meerut (India), Sibiu (Romania), Medvode (Slovenia) and Beloeil (Canada)

 

 

OŠ Preska, Medvode, Slovenia

Medvode:
latitude: 46°08' N
longitude: 14°25' E

About Medvode, our home town
Medvode is a town 12 km far from the centre of the capital Ljubljana, where there is the confluence of the river Sava and the Sora at the south – east edge of the Sorica field. Medvode lies between the two rivers that's why it got that name (Medvode – between water). It's also surrounded by nice peaks and the Alps at the back.
About School
There are many interesting sights, beside there is also Medvode hydroelectric power station. There are 400 pupils attending it. Pupils who live further from school come by school bus. The lessons are mainly in the mornings. School starts at 18.15 and finishes at 14.00. Pupils are included in many activities like: naturalistic (science), traffic, biological and computing clubs. Their handy skills can be tested in art club or in the club of handy work. They like to attend the courses of foreign languages, journalistic and drama clubs and a school choir.
There are also many sport activities like badminton, basketball, volleyball, football and athletics. We have got a mountain club which cooperates with the other schools in the commune of Medvode. Our school has got two branch schools: Topol and Sora.
About group
In the group we have students aged 11 to 13 years. All year we research astronomical phenomena and with the school telescope sights of the night sky. We are very happy to be able to participate in this project and learn with other students around the world.

Final Report

We are first year in this project. Pupils are members of Astronomy group of our school under the leadership of Mrs. Tatjana Gulic, physic teacher.

First we find how Eratosthenes measured the Earth. We did some geometry studies to find out have and what we will do.

We prepared various sticks of different sizes and shapes and investigated with test measures a few days before which one will be better.

On April 20 th we prepared everything and start to measured shadow lengths. The day was nice and sunny. After finishing the measurements we calculated the angle. Result between shadow angle and latitude of Medvode was very close. We were quite satisfaction with it.

We calculate circumference of the Earth and result is approximate 40 100 km.

 

Pak Turk International School, Karachi, Pakistan

We are students of grades 9 and 10 of Pak Turk International School, located in Gulshan-e-Iqbal Society of Karachi, Pakistan. We are very keen to participate in the Noonday project for the first time. Our homeroom teacher’s name is (Miss Rubina) and Ms. Meral Kacmaz is supervising our Eco Kids Club. We will be studying this project to engage in scientific inquiry as well as improve our English language skills.

Our school starts at 7:45am and finishes at 1:45pm. We have several subjects to study, such as; Biology, Chemistry, Physics, English language, Urdu (our native language), Islamyiat etc.

Our school is one of the many Pak Turk schools operating in Pakistan with the partnership of Turkish and Pakistani governments. Please visit our school’s website www.pakturk.org to learn more about our educational system.

Karachi city in which our school is located, is an important port city in Pakistan. Its latitude is 24 degrees and 52’ and 0”. Its longitude measurements are 67 0 3 feet and 0 inches.

 

Ecole Le Tournesol, Beloeil, Canada

The children of the primary school : Le Tournesol made shadow measurements for the spring equinox.
The coordinates of our city : Beloeil are
Longitude : 73°12' W & Latitude : 45°35' N
The measured angle is : + 45°35' = +45,58°

Our partner school is Escuela ESB 5 , Caseros, Argentina.
Longitude : 58°35' W & Latitude : 34°37' S = -34,6°
Angle of the sun : -34°30' = -34,5°


- Différence de latitude : 45,58 -(-34,6) = 80,18 degrés
- Distance entre les deux villes : 80,18 X 111,11 km = 8909 km
- Différence entre les angles du soleil: 45°35'-(-34°30') = 80°05' = 80,08°
- Circonférence 8909 X 360 / 80,08 = 40 050km

Thank you to our European partner schools in:
Sibiu - Romania
Medvode - Slovenia
Lafrancaise - France