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Key Methods of Proof and Disproof

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Learning Outcomes / Performance Standard:
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  • Appropriately apply a method of proof and disproof in real-life situations.
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Learning Competency:

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  • ​illustrates the different methods of proof (direct and indirect) and disproof (indirect and by counterexample).
  • justifies mathematical and real-life statements using the different methods of proof and disproof
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1 - ACTIVATING ACTIVITY

Short explanation on how to use these e learning materials:

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  • Can be a fun way of incorporating rules in introducing proving.

E-learning Tools or Resources

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The MIU puzzle

2 - ASSUMPTION VERIFICATION

Short explanation on how to use these e learning materials:

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  • You can give the article on figure 2 to students and let them identify if the arguments/ proofs stated are real or not.

E-learning Tools or Resources

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Two Column Proof

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Direct Proofs

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Methods of Proof

3- ANALYSIS & ABSTRACTION

Short explanation on how to use these e learning materials:

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  • Can be used as topic presentation in class.

E-learning Tools or Resources

4- APPLICATION / ASSESSMENT

Short explanation on how to use these e learning materials:

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  • Answers to odd number items provided.

E-learning Tools or Resources

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Exercises for Section 6: Arguments and Proofs

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