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Converse, Inverse, and Contrapositive of a Conditional Statement

Classroom Resource Information

Title:

Converse, Inverse, and Contrapositive of a Conditional Statement

URL:

https://www.chilimath.com/lessons/introduction-to-number-theory/converse-inverse-and-contrapositive-of-conditional-statement/

Content Source:

Other
ChiliMath

Type:

Informational Material

Overview:

This material will review what a conditional statement is because it is the foundation of the three related sentences that will be described later in the lesson. This material will help teachers and students to be familiar with the fundamental rules on how to convert or rewrite a conditional statement into its converse, inverse, and contrapositive.

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:

Tags:

conditional statement, contrapositive, converse, convert, inverse, rewrite

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

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Converse, Inverse, and Contrapositive of a Conditional Statement