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Vocabulary
mathematical problemsreal-world problemsratiosratesscale factorstablesgraphsproportions
Skills
  • represent (ratios using scale factors) #dok2
  • represent (rates using tables and graphs) #dok2
  • set up (proportions to model real-world problems) #dok2
  • interpret (tables and graphs in the context of ratios and rates) #dok2
  • analyze (mathematical situations to choose appropriate representations) #dok3
Learning Targets
  • I can identify ratios and rates in mathematical and real-world problems. #dok1
  • I can define scale factor, table, graph, and proportion. #dok1
  • I can represent ratios and rates using scale factors. #dok2
  • I can use tables and graphs to visually represent ratios and rates. #dok2
  • I can select the best representation (scale factor, table, graph, or proportion) for different problems involving ratios and rates. #dok2
  • I can apply representations (scale factor, table, graph, proportion) to model and solve real-world problems. #dok3
  • I can explain how the representations used make sense in the context of the problem. #dok3
Big Ideas
  • Ratios and rates can be represented in multiple ways, including with scale factors, tables, graphs, and proportions.
  • Choosing and using appropriate representations helps solve and make sense of real-world and mathematical problems involving ratios and rates.
Essential Questions
  • How can ratios and rates be represented using scale factors, tables, graphs, and proportions?
  • What strategies help determine the best way to represent a ratio or rate in a given problem?
  • How do different representations of ratios and rates help us understand and solve real-world problems?
  • How can you use a table or graph to model a real-world situation involving ratios or rates?
  • Why is it important to understand multiple representations of ratios and rates?