How to fairly share a watermelon

TL;DR

This paper demonstrates how geometric and calculus concepts can be applied to practically and fairly divide a watermelon into equal slices, aiming to motivate students by connecting theory with real-world applications.

Contribution

It introduces a practical method using geometry and calculus to fairly share a watermelon, linking mathematical concepts to real-life problem solving.

Findings

A simple geometric-calculus method for fair watermelon division.

Enhanced student motivation through practical application of math.

Bridging theory and practice to improve science education.

Abstract

Geometry, calculus and in particular integrals, are too often seen by young students as technical tools with no link to the reality. This fact generates into the students a loss of interest with a consequent removal of motivation in the study of such topics and more widely in pursuing scientific curricula. With this note we put to the fore a simple example of practical interest where the above concepts prove central; our aim is thus to motivate students and to reverse the dropout trend by proposing an introduction to the theory starting from practical applications. More precisely, we will show how using a mixture of geometry, calculus and integrals one can easily share a watermelon into regular slices with equal volume.