Further Mathematics/Complex instrument 07

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Möbius problem-solving bench

Locate the two exceptional addresses

Start every mapping question with the pole and infinity.

The denominator locates the pole; the ratio of leading coefficients locates the image of infinity.

Teacher layers Points and labels Source and image loci Angle and normal guides Pole construction Sample correspondences

Teacher cue

Ask for the pole and the image of infinity before students manipulate an equation.

Keyboard: arrows change step, space plays or pauses motion, R resets.