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

MA19.MM.5

Explain the relationship between annual percentage yield (APY) and annual percentage rate (APR) as values for $r$ in the formulas $A=P(1+r)^t$ and $A=Pe^{rt}$.

Unpacked Content

Knowledge

Students know:
  • how to calculate both simple interest and compound interest and straight line depreciation and proportional depreciation.

Skills

Students are able to:
  • Create tables that compare interest paid/owed on accounts using simple interest and compound interest.
  • Create tables that compare depreciation on items using straight line depreciation and proportional depreciation.

Understanding

Students understand that:
  • interest can be calculated in different ways and there are advantages and disadvantages to each method. (earning interest vs. paying interest).
  • Depreciation can be calculated in different ways and there are advantages and disadvantages to each method.

Vocabulary

  • Simple Interest
  • Compound Interest
  • Straight Line Depreciation
  • Proportional Depreciation
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