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STARS 
Presentation and Workshop by the German team 
Anna, Finn-Niklas, Marie, Miran, Nico
I. STARS: detective of angles 
What about the size of ? 
What about sum of the angles 
inside the star?
I. STARS: detective of angles - solution 1 
green angles: 
(180° - 40°):2= 70° 
 =360 –(70°+70°+90°) = 130° 
Sum of all angles inside the star: 
160° + 4*130°= 680°
I.STARS: detective of angles -Solution 2 
 = 72 ° 
 = (180° -72°):2 = 54 ° 
 = 54° 
= 2*  =108° 
 =(180° - 72°):2 = 36°
II) STARS WITH GEOGEBRA 
There are different ways to construct stars. 
We did it with GeoGebra. 
We will show you now two simple ways how to do it.
II. STARS WITH GEOGEBRA: 1ST WAY
II. STARS WITH GEOGEBRA: 2ND WAY
III. GEOGEBRA TOOLS: easy construction 
1 
2 
3
Now it‘s up to you to construct! 
picture
The end: programming a star

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Sternepräsentation4

Editor's Notes

  1. Anna: Here you are a worksheet, Page 1. Please calculate the angles. Ggf. aufteilen, einige Nr. 1 andere nr. 2 . Max. 5 Min.
  2. Miran: Lösung steht da, draufzeigen mit der Maus, erklären
  3. Nico: erklären (ablesen) und auf die Winkel jeweils zeigen
  4. Anna: These stars can be easily constructed with GEOGEBRA. Dann Text
  5. Miran: Construct a regular polygon and on each side a regular (=isocelis) triangle. Dann in Geogebra zeigen
  6. Miran: Way 2. start with a polygon and make straight lines between first and thirs, second and fourth and so on OR lines between point 1 and 3, 2 and 5, 3 and 6, …. Draufzeigen auf die jeweiligen Figuren
  7. Marie: nur kur: In GeoGebra erklären. Dazu Datei: erklärung.ggb nehmen.
  8. Finn Niklas: Have look at worksheet 2, construct a star and make a tool for this construction. Then it is easy to make a X-Mas postcard. We took the picture from the internet.
  9. Ganz am Ende: Finn-Niklas