Circular pavestones backyard A packing problem 

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Classroom materials, motivating pupils for math and science 
World of Work Dimensions Context Optimization problem which involve arranging objects as densely as possible. Role Student are asked to empathize with the role of architect/ designer of exterior places. Activity Students investigate ways to pave a backyard with circular pavestones. The aim is to minimize the empty space between the stones. Product Reflextion on the practical value of the activity. 
Abstract To arrange objects in a way that leaves the minimum possible empty space between them is a skill needed in everyday life as well as in various professions. Professional tasks are for example positioning containers in a storehouse, arranging pavestones in a pavement, packaging luggage in planes etcetera. In this activity students use coins as a model to investigate ways to pave a backyard with circular pavestones. The aim is to minimize the empty space between the stones. Packing problems are a class of optimization problems in mathematics which involve attempting to pack objects together inside a given area or space, as densely as possible. The aim is to find the configuration with the maximal density. Documents Copyright/Creative Commons Mascil partner: EL Materials are published under the CC BYNCSA 4.0 license. 
Discipline  Mathematics ✓  Biology  Physics  Chemistry  Engineering Target group  Primary Education  Lower Secondary Education  Upper Secondary Education Age range 1118 Duration 100 min. 