Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

MA19.MM.3

Organize and display financial information using arithmetic sequences to represent simple interest and straight-line depreciation.

Unpacked Content

Knowledge

Students know:
  • how to select information from a real-world financial problem, such as the initial amount of the investment and its periodic rate of change, and use it to model simple interest and straight line depreciation.

Skills

Students are able to:
  • Identify the first term and the common difference in an arithmetic sequence.
  • Recognize that the first term of an arithmetic sequence is the initial value of a loan or investment.
  • Recognize that the common difference in an arithmetic sequence is the rate of change in the loan or investment.
  • Use an arithmetic sequence to model simple interest or straight-line depreciation.
  • Display data found by using an arithmetic sequence to model simple interest or straight-line depreciation.

Understanding

Students understand that:
  • The initial amount of an investment and its periodic rate of change correlate to the first term and the common difference in an arithmetic sequence.
  • Arithmetic sequences can be used to model simple interest and straight-line depreciation.

Vocabulary

  • Simple Interest
  • Straight Line Depreciation
  • Arithmetic Sequence
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