MA.912.D.6.2Archived Standard

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Find the converse, inverse, and contrapositive of a statement

Remarks

Example: Determine the inverse, converse and contrapositive of the statement, “If it is Thursday, there will be rain.”
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Discrete Mathematics
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Logic - Develop an understanding of the fundamentals of propositional logic, arguments, and methods of proof.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)
    • Also Assesses:

    MA.912.D.6.3 Determine whether two propositions are logically equivalent.
  • Clarification :
    Students will identify the converse, inverse, or contrapositive of a given statement.
  • Content Limits :

    Truth tables or validity of a given statement will not be assessed.

    Items must present propositions as a sentence, and not by using symbols, e.g., p → q or 3x + 1 = 7 → x = 2.

  • Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    Which of the following is the converse of the following statement?

    “If today is Sunday, then tomorrow is Monday.”
  • Difficulty: N/A
  • Type: MC: Multiple Choice

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Alternate version of this benchmark for students with significant cognitive disabilities.

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