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Georgia standard · Mathematics

AFA.PAR.4Business and Financial Formulas

Explore, evaluate, and rearrange formulas applicable to business and financial contexts.

Appears in: Mathematics, High School

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Expectations

  • AFA.PAR.4.1

    Use and rearrange formulas applicable to real-world contexts.

  • AFA.PAR.4.2

    Investigate the impact of changing the value of the different variables in financial formulas to compare the resulting financial outcomes.

  • AFA.PAR.4.3

    Write algebraic formulas for use in spreadsheets and utilize technology to perform both iterate and formulaic calculations.

  • AFA.PAR.4.4

    Use the simple interest formula, I = Prt, and inverse operations to solve for specified variables in banking services applications and other interest problems.

  • AFA.PAR.4.5

    Demonstrate by iteration (both with technology and without) that the compounding process pays “interest on your interest.”

  • AFA.PAR.4.6

    Derive the compound interest formula, $A = P(1 + \frac{r}{t})^{nt}$, by using patterns and inductive reasoning, then compute compound interest with and without the formula.

  • AFA.PAR.4.7

    Explore the concept of limits of rational functions in discovering the compound continuous formula. Use technology to investigate and verify what happens as the number of compounds approaches infinity.

  • AFA.PAR.4.8

    Apply the natural base e in the continuous compounding formula, $A = Pe^{rt}$.

  • AFA.PAR.4.9

    Use the monthly payment formula to calculate payment amounts in a variety of circumstances.

  • AFA.PAR.4.10

    Utilize the monthly payment formula to assist in calculating the total interest paid (finance charge) when using credit. Compare the total of monthly payments to the original (cash) price.

  • AFA.PAR.4.11

    Interpret and use sigma notation.

  • AFA.PAR.4.12

    Explore and identify how the elements of the present value of a single deposit formula and the periodic deposit investment formula relate to the compound interest formula.

  • AFA.PAR.4.13

    Utilize the present and future value of a periodic investment formulas to make calculations regarding long-term investments and retirement planning.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.

AFA.PAR.4: Business and Financial Formulas | Georgia Mathematics Standard | Georgia Homeroom