MA19.FM.1

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

Aligned Learning Resources

Converse, Inverse, and Contrapositive of a Conditional Statement

Introduction to Truth Tables, Statements, and Logical Connectives

Truth Tables of Five Common Logical Connectives or Operators

16.1 And and Or Statements

16.4 Inverse, Converse, and Contrapositive

16.3 Negative Statements

16.2 If-Then Statements

Design by Adaptive Theme