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Vocabulary
relationsfunctionverbal representationtablegraphsymbolic representation
Skills
  • decide (whether a relation is a function using verbal, tabular, graphical, and symbolic representations) #dok2
  • analyze (relations represented in different formats) #dok2
  • identify (functions from various representations) #dok1
  • compare (relations that are and are not functions) #dok2
Learning Targets
  • I can identify functions from tables, graphs, verbal, and symbolic representations. #dok1
  • I can analyze different representations to determine if they define a function. #dok2
  • I can decide if a relation is a function based on its representation. #dok2
  • I can compare relations to determine which, if any, are functions. #dok2
Big Ideas
  • A function is a special type of relation where each input corresponds to exactly one output.
  • Relations can be represented in many ways, and the structure of the representation determines whether it is a function.
Essential Questions
  • What makes a relation a function?
  • How can you tell if a relation represented as a table, graph, or equation is a function?
  • Why does each input in a function correspond to only one output?
  • How do different representations help you decide whether a relation is a function?
  • What are some examples of relations that are not functions, and why?