UP:MA19.FM.3
Vocabulary
- Equivalent statements or logical equivalence
Knowledge
Students know:
- How to construct a truth table from a given logic statement.
Skills
Students are able to:
- Represent an application-based logic problem as a statement(s) using logical operators and statement variables.
- Construct a truth table to determine a solution to a logic problem.
Understanding
Students understand that:
- Complex situations including logic problems can be modeled using truth tables.
- Statements are logically equivalent if they have the same truth value for every possible assignment of true and false for each component.
Body
- Use truth tables to solve application-based logic problems and determine the truth value of simple and compound statements including negations and implications.
a. Determine whether statements are equivalent and construct equivalent statements.
Example: Show that the contrapositive of a statement is its logical equivalent.
