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Warm Up – 3/7 - Friday

Warm Up – 3/7 - Friday. Find the Hamilton Apportionment for 200 seats. B) Find the Hamilton Apportionment for 201 seats. C) What is the problem with Adding a seat?. Hamilton Method Paradoxes.

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Warm Up – 3/7 - Friday

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  1. Warm Up – 3/7 - Friday Find the Hamilton Apportionment for 200 seats. B) Find the Hamilton Apportionment for 201 seats. C) What is the problem with Adding a seat?

  2. Hamilton Method Paradoxes • Alabama Paradox: It is possible for a state to lose a seat just because more seats get added to congress. • Population Paradox: It is possible for a state that is growing in population to lose a seat to a state growing not as fast or not at all.

  3. Jefferson’s Method

  4. To understand Jefferson’s method • When I divide two numbers I may get a decimal. If I increase the number on the bottom, the decimal will go down. If I decrease the number on the bottom the decimal goes up.

  5. Example #1 1. Find the lower quotas for each state.

  6. Example #1 • The goal of Jefferson is to pick a SD so that when we find the lower quotas, all seats are used.

  7. Example #1 • If I need to give out more seats, I want my decimals to go up! • So I decrease my standard divisor. • My SD was 200. I will use a modified divisor of 196.6.

  8. Example #1 • 196.6 is a guessed decrease. There is nothing scientific or mathematical about it. • Notice when I use my new lower quota, I have used all of the seats!

  9. Example #2 Find the Standard Divisor. If all the seats are not apportioned, use Jefferson’s method to apportion the remaining seats.

  10. Example #2 We need to give out 4 more seats which means We need our decimals to go up! So we pick a Modified Divisor That is less that our original Divisor of 50.

  11. Example #2

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