Hamilton and Jefferson Methods of Apportionment

Txt: 4.1-4.2 & SOL: DM.9(you can use notecards for your unit

test….only formulas are permitted- no examples

Classwork: Please read p. 122-123 in text

p. 144 (1, 11, 19a, 23)

Homework (Day 14):p. 144 (2, 12, 20b, 24)

The Standard Divisor is found by dividing the total population under consideration by the number of items to be allocated.

Standard Divisor

The Standard Quota is formed by dividing that group’s population by the standard divisor.

*In Both Standard Divisor and Quota Round to nearest hundredth*

Standard Quota

https://www.youtube.com/watch?v=qrhbFHprmh0

Ex: Population of Margaretville by State

According to the constitution, the congress will have 30 seats divided among 4 states according to population. What is the standard Divisor and Standard Quota?

State A B C D TotalPopulatio

n (thousan

ds

275 383 465 767 1890

Standard Quota

6.08 7.38 12.17 30

The Apportionment problem is to determine a method for rounding standard quota into whole numbers so that the sum of the numbers is the total number of allocated items; process of dividing fairly.

https://www.youtube.com/watch?v=aJrHFDlNtyM

1. Calculate each groups standard quota.2. Round down to the nearest whole number,

therefore finding the lower quota. Initially give each groups its lower quota.

3. Give the surplus items one at a time, to the groups with the largest decimal parts in their standard quotas until there are no more surplus items.

Hamilton’s Method

https://www.youtube.com/watch?v=YWfEqWLz9pc

Ex:

State A B C D Total

Population

275 383 465 767 1890

Standard Quota

4.37 6.08 7.38 12.17 30

Lower Quota

4 6 7 12 29

Final Populatio

n

4 6 8 12 30

Surplus = 30- 29 = 1