don steward
mathematics teaching 10 ~ 16

Saturday, 6 February 2016

cancelling fractions

this is an example of a lesson split into two sections:
  • teaching or reviewing a skill
  • practice of that skill in tasks that involve generalisation (in this case an nth term rule) and possibly proof
the investigative equivalent fraction task was introduced to me by Ken Garner

sometimes, as in question (7), you only part-cancel a fraction in order to find the nth term rule
sometimes, for other fraction sequences, there is a stray fraction that cancels - not part of the general cancelling rule
some features of an overall generalisation are relatively easy to discern
and others aren't (for me anyway)

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