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Vocabulary
qualitative reasoningquantitative reasoningpredictioncomparisonreal-world problemsratiosrates
Skills
  • apply qualitative reasoning (real-world problems involving ratios and rates) #dok3
  • apply quantitative reasoning (real-world problems involving ratios and rates) #dok3
  • solve (prediction problems involving ratios and rates) #dok2
  • solve (comparison problems involving ratios and rates) #dok2
  • interpret (real-world situations involving ratios and rates) #dok2
Learning Targets
  • I can solve problems involving the prediction of outcomes using ratios and rates from real-world situations. #dok2
  • I can compare situations using ratios and rates to determine relationships or differences in real-world problems. #dok2
  • I can apply qualitative reasoning to explain relationships in ratio and rate problems without relying solely on numbers. #dok3
  • I can apply quantitative reasoning to calculate exact predictions and comparisons in contextual problems involving ratios and rates. #dok3
Big Ideas
  • Ratios and rates are powerful tools for analyzing and comparing real-world situations.
  • Both qualitative and quantitative reasoning are essential for making predictions and drawing conclusions about real-world problems.
Essential Questions
  • How can we use ratios and rates to make predictions about real-world situations?
  • What is the difference between qualitative and quantitative reasoning when solving mathematical problems?
  • How do ratios and rates help us compare different real-world scenarios?
  • When is it helpful to use qualitative reasoning instead of quantitative calculations in problem solving?
  • How can understanding ratios and rates empower us to make better decisions in everyday life?