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A fantastic rich activity! Just what I am looking for to try out with some of my classes! Thanks for sharing :-)
Questions to consider:<br /> <br /> • How will you go about trying to find an arrangement that uses fewer hydrants?<br /> • Now try some other size blocks of the city, like 10x4 or 5x6 and try to find the fewest number of fire hydrants needed to cover all the roads<br /> • How will you record your results?<br /> • Have you spotted a pattern/rule?<br /> • Can you make a prediction?<br /> • Can you explain why your pattern/rule works?<br /> <br /> Extensions:<br /> <br /> • Using fire hoses of different lengths, such as 200m or 50m.<br /> • Using city blocks of different shapes, such as rectangles, regular hexagons, equilateral triangles.<br /> • Exploring different arrangements of a fixed number of blocks, say 100, to determine which arrangement will need the smallest number of hydrants.<br />
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