Further Mathematics/Complex instrument 04

01/ 07

Substitution conveyor

Read the displaced region

One region, five variables.

The equation changes because every point is carried through the same substitution.

Teacher layers Before region After region Corresponding points Radius and angle guides

Teacher cue

Pause before each substitution and ask what must change. On the reciprocal step, ask why the outer boundary becomes the inner boundary and why the angles reverse.

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