ALEX | Alabama Learning Exchange

Truth Tables of Five Common Logical Connectives or Operators

Classroom Resource Information

Title:

Truth Tables of Five Common Logical Connectives or Operators

URL:

https://www.chilimath.com/lessons/introduction-to-number-theory/truth-tables-of-five-common-logical-connectives/

Content Source:

Other
ChiliMath

Type:

Informational Material

Overview:

This material will construct the five common logical connectives or operators. They are considered common logical connectives because they are very popular, useful, and always taught together.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 9-12
Applications of Finite Math

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

Unpacked Content

Evidence Of Student Attainment:

Students:

Represent propositional statements using statement variables and logical operators.
Construct a truth table for a statement.
Construct conditional, biconditional, converse, inverse contrapositive, and quantified statements.

Teacher 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

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.

Diverse Learning Needs:

Mathematics
MA2019 (2019)
Grade: 9-12
Applications of Finite Math

2. Represent logic operations such as and, or, not, nor, and x or (exclusive or) in words, with symbols, and in truth tables.

Unpacked Content

Evidence Of Student Attainment:

Students:

Determine the appropriate logical operators needed to write a compound statement with symbols and statement variables.
Determine the truth value for each component of a compound statement and organize in a truth table.

Teacher Vocabulary:

Compound statement
Negation
Conjunction
Disjunction

Knowledge:

Students know:

A statement is either true or false.
A truth table must include every possible assignment of true and false for each component of a compound statement.

Skills:

Students are able to:

Construct a truth table for a compound statement.
Represent compound statements using statement variables and logical operators.

Understanding:

Students understand that:

The validity of the simple statements that make up a compound statement determine the compound statement's validity.

Diverse Learning Needs:

Tags:

biconditional, conjunction, disjunction, implication, logic operation, logic statement, logical connective, negation, symbol, truth table

License Type:

Custom Permission Type
See Terms: https://www.chilimath.com/terms-and-conditions/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Text Resources: Content is organized under headings and subheadings

Comments

It is suggested to review this material prior to this lesson.

This introductory information about truth tables contains prerequisite knowledge that will help teachers and students better understand the content of this lesson.

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Truth Tables of Five Common Logical Connectives or Operators