Changes
From Karnataka Open Educational Resources
259 bytes added
, 05:18, 10 July 2014
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| #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 === |