MathematicsHamburg curriculum · Gymnasium

Mathematics by grade

The units of Bildungsplan (Hamburg, Gymnasium) with matching simulations. The summaries are our own – the original text is authoritative.

Grade 5/6

These simulations are not assigned to a grade in the Hamburg curriculum.

Term by term a polynomial hugs a function such as sin x ever more closely. That is pretty much how a calculator does it.

Grade 12–13 · UniversityBaden-Württemberg: grade 12/13Berlin: grade 12Brandenburg: grade 12

Square, sawtooth and other waves are built from many sine waves. You can also listen to them.

Grade 13 · UniversityBaden-Württemberg: grade 12/13

A plane cuts the sphere in a circle, touches it at a point or misses it entirely. Including the equation of the sphere and the tangent plane.

Grade 13Baden-Württemberg: grade 12/13Bavaria: grade 13Lower Saxony: grade 12/13Rhineland-Palatinate: grade 11–13Saarland: grade 13

Two arrows decide everything: wherever they point, the matrix rotates, stretches or reflects the whole grid.

Grade 12–13 · UniversityBaden-Württemberg: grade 12/13Hesse: grade 12Lower Saxony: grade 12/13Rhineland-Palatinate: grade 11–13Saxony: grade 11/12

The summaries describe the curriculum in our own words. The original text is authoritative.