Category Archives: reciprocal

Do you understand reciprocals?

These questions test a lot of things so use them carefully.

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Firstly there is what do we understand about reciprocals, namely:

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These are tricky concepts to grasp. This is the order in which I teach them, but I don’t think the “flow” through these 4 concepts is particularly obvious and students need to be carefully led with lots of examples using Mini Whiteboards.

Other understanding required includes:

  • Finding equivalent fractions
  • Finding common denominators and using them to find the right equivalent fractions
  • Adding fractions
  • Converting between Mixed Number and Top-Heavy fractions
  • Negative fractions

And the last question took me a good 3-4 minutes to convince myself I had the right answer.  Which always makes me stop to think – am I being fair to my students here?