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
