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9.9 Analyzing Functions with Successive Differences

Standard(s):

  • F.IF.A.3: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
  • F.BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
  • F.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Essential Question:

  • How can the relationship between quantities best be represented?
  • In what ways can the problem be solved, and why should one method be chosen over another?
  • When does a function best model a situation?
  • In what ways can functions be built?
  • How can I use algebra to describe the relationship between sets of numbers?
  • In what ways can the choice of units, quantities, and levels of accuracy impact a solution?

Learning Target:

  • I can identify the pattern in a sequence. (Analyze)
  • I can write a function rule for a sequence. (Synthesize)
  • I can define explicit and recursive expression of a function. (Knowledge)

Warm-Up:
     
  • https://docs.google.com/document/d/1WRR44vkWtvFdXpScgviSe9mYhEaHuaRfvhkr-fFITsU/edit?usp=sharing


Notes: 

Click on the image below for the PDF of the notes 9.9 Analyzing Functions with Successive Differences
https://drive.google.com/file/d/1uM8Rx0xVpREpyi7tMteVzd6-SYqvVjo4/view?usp=sharing



Video:

Click below for the Classroom Lesson -  9.Analyzing Functions with Successive Differences


    Watch this video on  Analyzing Functions with Successive Differences

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    Activities:
    Click on the image below for the activity IXL -  Analyzing Functions with Successive Differences by Graphs
    • https://www.ixl.com/math/algebra-1/identify-linear-quadratic-and-exponential-functions-from-graphs

    Click on the image below for the activity IXL -  Analyzing Functions with Successive Differences Tables
    • https://www.ixl.com/math/algebra-1/identify-linear-quadratic-and-exponential-functions-from-tables

    Click on the image below for the activity IXL -  Analyzing Functions with Successive Differences Equations
    • https://www.ixl.com/math/algebra-1/write-linear-quadratic-and-exponential-functions

      Extra Help:
      Click on the image below for help 
      http://www.wolframalpha.com/

      Assessment/Homework:
      pg. 587 15-27 odds
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