The units of Bildungsplan (Bremen, Gymnasium) with matching simulations. The summaries are our own – the original text is authoritative.
These simulations are not assigned to a grade in the Bremen curriculum.
How tall is the tree without climbing it? Two rays and a parallel line are enough, because the ratios stay the same.
Calculate sides and angles in any triangle with the law of sines and the law of cosines. A helper shows which law fits your problem.
Push a stack of coins sideways: the shape changes, but the volume stays the same. This is Cavalieri's principle.
Term by term a polynomial hugs a function such as sin x ever more closely. That is pretty much how a calculator does it.
Square, sawtooth and other waves are built from many sine waves. You can also listen to them.
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.
Two arrows decide everything: wherever they point, the matrix rotates, stretches or reflects the whole grid.
The summaries describe the curriculum in our own words. The original text is authoritative.
