STAT.MATH.3.A

Distinguish between mathematical models and statistical models.

Statistics · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
mathematical modelstatistical modeldistinctiongiven situation
Skills
  • define (mathematical models) #dok1
  • define (statistical models) #dok1
  • distinguish (between mathematical models and statistical models) #dok2
  • explain (the difference between mathematical and statistical models in context) #dok2
  • identify (appropriate contexts for mathematical vs. statistical models) #dok3
Learning Targets
  • I can define what a mathematical model is. #dok1
  • I can define what a statistical model is. #dok1
  • I can distinguish between mathematical models and statistical models. #dok2
  • I can explain how mathematical and statistical models are different in a given context. #dok2
  • I can identify when to use a mathematical model or a statistical model for a real-world situation. #dok3
Big Ideas
  • Mathematical models and statistical models serve different purposes in representing real-world situations.
  • Distinguishing between mathematical and statistical models helps in selecting the appropriate method for analyzing and interpreting data.
Essential Questions
  • What is the difference between a mathematical model and a statistical model?
  • How do mathematical models and statistical models represent real-world situations differently?
  • When would you use a statistical model instead of a mathematical model?
  • How does understanding the difference between these models improve problem solving?
  • Can a situation require both a mathematical model and a statistical model? Why or why not?