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

MA19.FM.1

Represent logic statements in words, with symbols, and in truth tables, including conditional, biconditional, converse, inverse, contrapositive, and quantified statements.

Unpacked Content

Knowledge

Students know:

  • How to determine if a simple statement is true or false.

Skills

Students are able to:

  • Construct a truth table for propositions with a variety of operators.
  • Write a proposition using logical operators and statement variables such as p and q.
  • Write the converse, inverse, contrapositive and biconditional of a conditional statement using logical operators and statement variables.

Understanding

Students understand that:

  • A conditional statement’s validity is based on the validity of its components.
  • Truth tables must contain all possible assignments of true and false for each component.
  • A statement is either true or false.

Vocabulary

  • Proposition
  • Statement variables
  • Logical operators
  • Truth table
  • Negation
  • Conditional statement
  • Hypothesis/antecedent
  • Conclusion/consequent
  • Converse statement
  • Inverse statement
  • Contrapositive statement
  • Biconditional statement
  • Equivalent statements
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