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→Problem 1
#Pupil must have a sound understanding of Euclid's lemma
#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
#The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving
==Method -1: Solution by cases==
Proposition: x is an integer. i.e., x=m, where m is an integer<br>
Conclusion : x(x+1) is an even integer. i.e., x(x+1) =2K<br>
Pupil can solve this in several ways viz., proofs by cases.
===Case -1: x is an even integer ===