Product ID: 5609

Supplementary Print

High School

# Fair Divisions: Getting Your Fair Share (HiMAP)

### Author: Sandi Bennett; Duane DeTemple; Michael Dirks; Bob Newell; Jack M. Robertson; Bob Tyus

Demonstrates how mathematics can be used to divide objects fairly, such as the equitable distribution of an item that is not divisible (e.g., a hose from an estate). HiMAP Module 9.

HiMAP library now available on CD-ROM product no. 7593**Table of Contents:PART I: DIVIDING A CAKE**Introduction

Some Methods of Fair Division

Some Basic Assumptions

Dividing a Cake Among Three People

The Moving Knife Solution

Another Fair Division Algorithm

Exercises

**PART II: DIVIDING ESTATES**

The Problem of Indivisible Objects

Some Methods of Dividing An Estate

Fairly Dividing An Estate

Testing the Method

Exercises

**PART III: THE HISTORY OF THE FAIR DIVISION PROBLEM**

©1987 by COMAP, Inc.

HiMAP

50 pages

#### Mathematics Topics:

Discrete & Finite Mathematics , Computer Science , Fair Divisions

#### Application Areas:

Social Studies , Political Science, Law, Negotiation

#### Prerequisites:

Algebra II

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