13
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From Karnataka Open Educational Resources
→The concepts that a pupil must know are
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'''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
