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Vocabulary
rate of changelinear functiontablegraphalgebraic representationcontextmathematical problemsreal-world problems
Skills
  • calculate (rate of change from a table) #dok2
  • calculate (rate of change from a graph) #dok2
  • calculate (rate of change from an algebraic equation) #dok2
  • apply (rate of change to mathematical and real-world problems) #dok3
  • interpret (the meaning of rate of change in context) #dok3
Learning Targets
  • I can calculate the rate of change of a linear function from a table. #dok2
  • I can calculate the rate of change of a linear function from a graph. #dok2
  • I can calculate the rate of change of a linear function from an equation. #dok2
  • I can apply the concept of rate of change to solve mathematical problems. #dok3
  • I can apply the concept of rate of change to solve real-world problems. #dok3
  • I can interpret the meaning of rate of change within a given context. #dok3
Big Ideas
  • The rate of change describes how one quantity changes in relation to another, both in mathematical settings and real-world scenarios.
  • Multiple representations—tables, graphs, equations—can be used to determine and interpret the rate of change of linear functions.
Essential Questions
  • What does the rate of change tell us about a real-world situation?
  • How can you determine the rate of change from a table, graph, or equation?
  • In what ways can the rate of change be used to solve problems you might encounter outside of mathematics?
  • How does the rate of change help us understand the relationship between variables in a linear function?
  • How does representing a problem in different ways (table, graph, equation) help you analyze its rate of change?