Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.28

Use spreadsheets to examine apportionment methods in large problems.

COS Examples

Example: apportion the 435 seats in the U.S. House of Representatives using historically applied methods

Unpacked Content

Knowledge

Students know:

  • How to apply various methods of apportionment with smaller data sets.

Skills

Students are able to:

  • Determine and use formulas for spreadsheet cells for determining parts of the apportionment process including calculating quotas, truncated quotas, mean and geometric mean of upper and lower quotas, and final apportionments using various methods (Hill, Webster, Hamilton, etc.)

Understanding

Students understand that:

  • Apportionment methods can be applied efficiently on large data sets using spreadsheets.

Vocabulary

  • Truncate
  • Quota
  • Arithmetic mean
  • Geometric mean
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