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→The concepts that a pupil must know are
'''Approaches to solutions'''<br>
'''Approaches to solutions'''<br>
==The concepts that a pupil must know are==
==The concepts that a pupil must know are==
#What is an integer?
#What is an even integer?
#What is an odd integer?
#X and ( x+1) are consecutive integers and x(x+1) is the representation of the product
#Pupil should have the concept of distributive property of integers
#The pupil must have an opportunity for an arguement that the proof is true even of negative integers
#Pupil must have a sound understanding of Euclid's lemma
#The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving