6adv.MATH.10

Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including $d = rt$.

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

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Vocabulary
constant rates of changemathematical problemsreal-world problemspictorial representationstabular representationsverbal representationsnumeric representationsgraphical representationsalgebraic representationsd = rt
Skills
  • represent (constant rates of change via multiple representations) #dok2
  • identify (rates of change in mathematical and real-world contexts) #dok2
  • translate (between pictorial, tabular, verbal, numeric, graphical, and algebraic forms) #dok2
  • solve (problems involving constant rates of change, including d = rt) #dok3
Learning Targets
  • I can recognize situations that involve constant rates of change in mathematical and real-world problems. #dok1
  • I can represent a constant rate of change using pictorial, tabular, verbal, numeric, graphical, and algebraic forms. #dok2
  • I can explain the relationship between distance, rate, and time using the equation d = rt. #dok2
  • I can translate a scenario presented in one form (e.g., table) to another form (e.g., equation or graph). #dok2
  • I can solve real-world problems involving constant rates of change by applying appropriate mathematical representations. #dok3
  • I can justify my solution and process when solving problems involving constant rates of change. #dok3
Big Ideas
  • Constant rates of change can be represented and interpreted using multiple mathematical forms to solve real-world problems.
  • Understanding the equation d = rt helps connect distance, rate, and time in practical and mathematical situations.
Essential Questions
  • How can you represent a constant rate of change in different ways (e.g., pictorial, table, graph, equation)?
  • Why is it important to use multiple representations to understand and solve problems involving rates of change?
  • In what real-world situations do you encounter constant rates of change, and how can you model them mathematically?
  • How does the equation d = rt relate distance, rate, and time in problem situations?
  • What strategies help you determine which representation to use when solving a problem with a constant rate of change?