Discrete Math
Lone Divider Practice
Name: _____________________
Period: 4 or 5-1
Hector, Theo, and Larry are dividing up their grandfather’s land into three separate parcels. Based on an
evaluation of how the land could be split up based on geographical features, the grandsons make a bid on
the three pieces of land. Who gets which pieces?
Person
Piece 1
Piece 2
Piece 3
Hector
33.3%
33.3%
33.3%
Theo
35%
10%
55%
Larry
40%
25%
35%
Brothers Carl, Danny, and Evan are dividing a cake. Carl cuts the cake into what HE thinks is fairly sized
pieces and his brothers bid. Based on the bids below, who gets which pieces?
Person
Piece 1
Piece 2
Piece 3
Carl
33.3%
33.3%
33.3%
Danny
25%
25%
50%
Evan
30%
30%
40%
Sisters Mary, Nadia, and Lisa are dividing up their favorite custard. Lisa cuts the cake into what SHE
thinks is fairly sized pieces and her sisters bid. Based on the bids below, who gets which pieces?
Person
Piece 1
Piece 2
Piece 3
Mary
30%
40%
30%
Nadia
20%
40%
40%
Lisa
33.3%
33.3%
33.3%
Discrete Math
Lone Divider Practice
Name: _____________________
Period: 4 or 5-1
In groups of 3, you will be practicing the Lone Divider Method.
Within each group, you’ll choose the divider by picking a random number from a hat. Write your names
below in the role you’ll be filling.
Lone Divider: _____________________________
Chooser: ________________________________
Chooser: ________________________________
Once the Divider has divided the pieces of Cake/Pie/Cookies, fill out the attached bid sheet (1 per
person). Remember this is an INDIVIDUAL decision.
Now, open the bids and complete the table below:
Person
Piece 1
Piece 2
Piece 3
Bids
Once that has been done, identify who gets what pieces according to the bids. Remember, if there is
argument, the divider gets an ‘unwanted’ piece and then the remaining two parts get ‘combined’ and cut
via the divider-chooser method. Identify who chose what piece below:
________________ got Piece 1.
________________ got Piece 2.
________________ got Piece 3.