the magicmathworks
Magic Mathworks Travelling Circus
Experiencing Mathematics through Sight, Sound, Touch and Movement

Masterclass: scaling

Scaling – zoom: primary and secondary

Zoom (pdf)

masterclass-synopses-03-2012_img_12The ‘zoom’ lens on a camera and a ‘zoom’ photocopier do mathematics. They perform a geometrical transformation: enlargement. We do the same in this workshop. We move up through the dimensions from 1, where we compare paper clips; through 2, where we use a pantograph and the technique artists call ‘squaring up’; to 3, where we begin with a ‘maquette’ and build a full-scale version.

When the length of something goes up by a certain scale factor, how does the surface area go up? How does the volume go up?

A formula encapsulates the answer, whether written as such by older students, or expressed in words by younger ones.

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