Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.4

Determine whether a logical argument is valid or invalid, using laws of logic such as the law of syllogism and the law of detachment.

Unpacked Content

Knowledge

Students know:

  • How to construct a truth table from a given logic statement.

Skills

Students are able to:

  • Construct valid arguments.
  • Identify the validity of arguments.

Understanding

Students understand that:

  • Truth tables can be used to construct a valid argument or to determine the validity of an argument.
  • In order for an argument to be valid, the form of the argument must be valid.

Vocabulary

  • Tautology
  • Contradiction
  • Law of syllogism
  • Law of detachment/modus ponens
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