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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
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More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
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