Unpacked Content
Knowledge
Students know:
- Apportionment is a method of dividing based on population.
Skills
Students are able to:
- Calculate an ideal ratio for diving objects based on populations.
- Use the ideal ratio to determine exact district quotas and apply a variety of apportionment methods to determine apportionment of discrete objects such as representative seats.
- Use a variety of apportionment methods to adjust the divisor and calculate subsequent quotas.
- Identify specific examples of paradoxes or violation of the quota rule.
Understanding
Students understand that:
- Some methods result in unfair paradoxes and may favor larger or smaller districts.
- Apportionment methods are used to divide discrete objects when they cannot be divided exactly proportional to the populations.
Vocabulary
- Ideal ratio
- Quota
- Hamilton method
- Jefferson method
- Adams method
- Arithmetic mean
- Geometric mean
- Webster method
- Huntington-Hill method
- Population paradox
- Alabama paradox
- Quota rule
