Learning Resource Type

Classroom Resource

Converse, Inverse, and Contrapositive of a Conditional Statement

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

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. 

    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

    UP:MA19.FM.1

    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.

    Body

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

    CR Resource Type

    Informational Material

    Resource Provider

    ChiliMath
    Accessibility
    License

    License Type

    Custom
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