AQR.MATH.4.J

Identify potential misuses of statistics to justify particular conclusions, including assertions of a cause-and-effect relationship rather than an association, and missteps or fallacies in logical reasoning; Page 22 October 2015 Update.

Advanced Quantitative Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
potential misusesstatisticsjustificationconclusionsassertionscause-and-effect relationshipassociationmisstepsfallacieslogical reasoning
Skills
  • identify (potential misuses of statistics) #dok2
  • justify (particular conclusions using statistical evidence) #dok3
  • distinguish (cause-and-effect relationships from associations) #dok2
  • recognize (missteps and fallacies in logical reasoning) #dok2
  • analyze (reasoning in statistical arguments) #dok3
Learning Targets
  • I can identify potential misuses of statistics in reports or studies. #dok2
  • I can distinguish between cause-and-effect relationships and associations in statistical claims. #dok2
  • I can recognize missteps or fallacies in logical reasoning related to statistical arguments. #dok2
  • I can justify whether a given statistical conclusion is supported by valid reasoning and evidence. #dok3
  • I can analyze statistical arguments to detect errors in reasoning or unjustified claims. #dok3
Big Ideas
  • Statistical information can be misleading if misused or interpreted incorrectly, influencing the conclusions people make.
  • Understanding how to identify logical fallacies and misuse of statistics is necessary to evaluate claims critically and make informed decisions.
Essential Questions
  • How can statistics be misused to justify particular conclusions?
  • What is the difference between a cause-and-effect relationship and an association in statistical claims?
  • What are some common logical fallacies and missteps that appear in statistical reasoning?
  • How can we determine if a statistical conclusion is justified by the evidence presented?
  • Why is it important to recognize the misuse of statistics in everyday information?