trio’s review section 2.3 & 2.4

Trio’s Review Section 2.3 & 2.4

Number off in your groupsIf you are the youngest you are a “0”

If you are the middle-aged you are a “1”

If you are the oldest you are a “2”

HOW DO WE MOVE??If you are the “0”, you never move

If you are the “1”, you move ahead ONE pod each question (check #’s on desk!)

If you are the “2”, you move ahead TWO pods each question (check #’s on desk!)

BE SURE TO:

Write the names of each member of your pod to the right of the problem

at the beginning of each problem as well as the problem. Show all

work!

QUESTION #1Mrs. Howle decides to give

video game tokens to her children based on the number of dandelions they pulled from their lawn. She has 25 tokens to give away.

Rachel pulled 13, Adam pulled 20 and Jon pulled 25.Find the ideal ratio and describe it’s meaning in a sentence.

ANSWER #1The ideal ratio is 2.32

The ideal ratio describes the number of

dandelions a child must pull to receive ONE video game token

ROTATE TO YOUR NEXT GROUP

QUESTION #2Mrs. Howle decides to give

video game tokens to her children based on the number of dandelions they pulled from the lawns. She has 25 tokens to give away.

Rachel pulled 13, Adam pulled 20 and Jon pulled 25.Find the quota for each child.What does the quota tell us?

ANSWER #2The QUOTA for each child is:(the quota tells us how many tokens each child should receive)

# of Dandelions

pickedQUOTA

Rachel

13 13/2.32 = 5.60

Adam 20 20/2.32 = 8.62

Jon 25 25/2.32 = 10.78

ROTATE TO YOUR NEXT GROUP

QUESTION #3Determine initial

apportionment of the video game tokens

to Rachel, Adam and John using the

Hamilton, Jefferson and Webster

methods.

QUESTION #3INITIAL APPORTIONMENT

QUOTA HAMILTON

JEFFERSON

WEBSTER

Rachel 5.60Adam 8.62Jon 10.7

8

ANSWER #3INITIAL APPORTIONMENT

QUOTA HAMILTON

JEFFERSON

WEBSTER

Rachel 5.60 5 5 6Adam 8.62 8 8 9Jon 10.7

810 10 11

TOTALS 23 23 26

ROTATE TO YOUR NEXT GROUP

QUESTION #4Determine the

Jefferson Adjusted Ratio (J.A.R.) and the

Webster Adjusted Ratio (W.A.R.) for

each child

ANSWER #4The Adjusted Ratios

J.A.R. W.A.R.

Rachel

2.17 2.36Adam 2.22 2.35

Jon 2.27 2.38

ROTATE TO YOUR NEXT GROUP

QUESTION #5Determine the final

apportionment of the video game tokens

to Rachel, Adam and John using the

Hamilton, Jefferson and Webster

methods.

ANSWER #5FINAL APPORTIONMENT

HAMILTON JEFFERSON

WEBSTER

Rachel

5 5 6Adam 9 9 8Jon 11 11 11

ROTATE TO YOUR NEXT GROUP

What is the formula for determining the discrepancy level

or amount of unfairness for each

method?

Discrepancy Formula

|𝑞𝑢𝑜𝑡𝑎− 𝑓𝑖𝑛𝑎𝑙𝑎𝑝𝑝𝑜𝑟𝑡𝑖𝑜𝑛𝑚𝑒𝑛𝑡|

QUESTION #6Determine the

amount of discrepancies

with each method

Determine the amount of discrepancies with each method

Quota Hamilton

Jefferson Webster

F.A. F.A. F.A.

Rachel 5.60 5 5 6Adam 8.62 9 9 8

Jon 10.78 11 11 11Total Discrepancy

ANSWER #6Determine the amount of discrepancies

with each methodQuota Hamilton Jefferson Webster

F.A. F.A. F.A.

Rachel 5.60 5 .60 5 .60 6 .40Adam 8.62 9 .38 9 .38 8 .62

Jon 10.78 11 .22 11 .22 11 .22Total Discrepancy 1.2

01.20

1.24