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Secondary Magazine - Issue 118: Eyes Down


Created on 14 January 2015 by ncetm_administrator
Updated on 02 February 2015 by ncetm_administrator

 

Secondary Magazine Issue 118'point and shoot' by llreadll (adapted), some rights reserved
 

Eyes Down

Our monthly picture that you could use with your pupils, or your department, or just by yourself, to make you think about something in a different way

These pictures were taken from the exercise books of two Year 7 pupils. The left hand picture seems to indicate that this pupil has a good understanding of equivalent fractions; what of value can we take from the right hand photograph?

fractions in exercise book   fractions in exercise book

Securely understanding equivalence is crucial if pupils are to be fluent and confident when operating with and on fractions. Using these or similar photographs, you could ask your pupils to

  • justify the “ticked” equivalences for 25;
  • suggest a fraction that is equivalent to 25 but with a constraint, for example the denominator is more than 50, or is odd, or equals 12;
  • select the correct equivalences for 25;
  • explain why the incorrect equivalences are wrong (why 231010 etc.);
  • suggest the (mistaken) thought processes behind the pupil writing the incorrect equivalences;
  • write rules to explain how you can and cannot operate on a fraction so that the answer is equivalent to the original fraction;
  • devise questions that test the depth of the first pupil’s conceptual understanding. How could the teacher be sure that this pupil really “gets it”?

If you try successfully other ideas, please do share them with us.

If you have a thought-inducing picture, please send a copy (ideally, about 1-2Mb) to us at info@ncetm.org.uk, with a note of where and when it was taken, and any comments on it you may have.

Image credit
Page header by llreadll (adapted), some rights reserved

 
 

 

 
 
 
 
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