Standard #: MA.912.A.10.4 (Archived Standard)


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Use counterexamples to show that statements are false.


Remarks


Example 1: Show by an example that the following statement is false: "The product of two complex numbers is never a real number."

Example 2: "All quadratic equations have exactly two distinct real roots." Provide a counter example to show that the statement in quotation marks is false.



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Mathematical Reasoning and Problem Solving - In a general sense, all of mathematics is problem solving. In all of mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Printed On:6/18/2025 11:27:16 AM
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