6adv.MATH.5.D

Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions.

Grade 6 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
ratiosratesscale factorstablesgraphsproportionsmathematical problemsreal-world problems
Skills
  • represent (problems involving ratios and rates using scale factors, tables, graphs, and proportions) #dok2
  • identify (the appropriate representation—scale factors, tables, graphs, proportions—for a given ratio or rate problem) #dok2
  • apply (representations to solve mathematical problems involving ratios and rates) #dok3
  • apply (representations to solve real-world problems involving ratios and rates) #dok3
Learning Targets
  • I can represent problems involving ratios using scale factors. #dok2
  • I can use tables, graphs, and proportions to represent mathematical and real-world problems involving rates. #dok2
  • I can identify when to use a scale factor, table, graph, or proportion to represent a ratio or rate problem. #dok2
  • I can apply appropriate representations to solve mathematical problems involving ratios and rates. #dok3
  • I can apply scale factors, tables, graphs, and proportions to solve real-world problems involving ratios and rates. #dok3
Big Ideas
  • Ratios and rates can be represented and analyzed using multiple mathematical approaches for deeper understanding.
  • Effective use of representations such as scale factors, tables, graphs, and proportions supports problem solving in both math and real-life contexts.
Essential Questions
  • How can different representations help us understand and solve problems involving ratios and rates?
  • When is it most effective to use scale factors, tables, graphs, or proportions to represent a problem?
  • How do representations of ratios and rates connect to real-world situations?
  • What strategies can you use to decide which representation best fits a given ratio or rate problem?
  • How can using multiple representations improve accuracy and understanding when solving ratio and rate problems?