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Loci and constructions
Description
Jon is getting a lot of stick from his next door neighbour Mrs. Green. She wants her tree moved but it’s got to go in exactly the right place and Jon hasn’t got a clue. Maths Crimes Detective Al Gebra comes to the rescue using loci and constructions to dig Jon out of a hole.
Classroom Ideas
Set similar problems in practical contexts requiring other constructions like perpendicular bisectors or problems on finding regions, eg a mobile telephone mast is to be built in a rectangular field. It must be at least 20 m from the corner gate and at least 10 m from the boundary hedges. On a scale drawing of the field the pupils must shade in the region in which the mast can be placed.
Geometry and Measure
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