Standard Unwrapping

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Vocabulary
functiontable of related valuesfinite differencesdomainrestricted domainrange
Skills
  • determine (the function that models a given table using finite differences) #dok2
  • identify (finite differences in a table of values) #dok1
  • analyze (tables to find restricted domain and range) #dok2
  • model (real-world data using functions and tables) #dok3
Learning Targets
  • I can identify finite differences in a table of values. #dok1
  • I can determine the function that models a table of related values using finite differences. #dok2
  • I can analyze a table to find its restricted domain and range. #dok2
  • I can model a real-world situation by finding a function that best fits a table of values and justifying my reasoning. #dok3
Big Ideas
  • Finite differences can be used to determine the underlying function that represents tabular data.
  • Understanding domain and range restrictions is essential when modeling real-world situations with functions.
Essential Questions
  • How can finite differences help identify the type of function represented by a table of values?
  • What steps would you take to determine a function that fits given data in a table?
  • Why is it important to consider the restricted domain and range when modeling real-world situations?
  • How can you justify that your function accurately represents the data provided?
  • What challenges might you encounter when modeling real-world data with functions?