Children over the age of 6 in Hamburg go to Grundschule(primary school). After 4 years, students change to a Gymnasium(grammar school) or a Stadtteilschule(district school). At a Gymnasium, students take the “Abitur” after 8 years (A levels), a higher education entrance qualification. In the Stadtteilschule, students take this exam after 9 years. Otherwise, students can obtain the “ersten allgemeinbildenden Schulabschluss” (general education school leaving certificate) after the 9th grade, and the “mittleren Schulabschluss” (intermediate school leaving certificate) (exam for an apprenticeship) after the 10th grade. At the schools, the children generally attend international classes first. Here they receive specialised teaching and take German lessons.
No language skills are required for primary school.(http://www.hamburg.de/bsb/siz/6218290/beratung-schullaufbahn/)
Registration is possible only after you have moved out of the initial reception centre facility (EA) into other accommodation. If you are still living in an EA, your child goes to school in the EA.