Goat Grazing: Find the loci of the goat's position as it eats the grass while tethered to the rope.
Middle of Centres: The blue point is exactly in the middle of two red points. What are their coordinates?
Curriculum for Loci:
Years 7 to 9
Pupils should be taught to derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line more...
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A locus (plural: loci) is a set of points whose location satisfies or is determined by one or more specified conditions. This topic links to Geometry and Shape and provides opportunity for accurate drawing and 'people maths' where pupils can position themselves in the classroom according to certain conditions.
Constructions: Construct the diagrams from the given information then check your accuracy.
Loci Construction Pairs: Match the description of the loci to the diagram of the construction.
Loci Land: Make scale drawings of real life situations using ruler, compasses and pencil to answer questions about loci.
Sheep Herding: Arrange the sheep in the field according to the instructions. An introduction to loci.
Voronoi Diagrams: Answer basic questions about Voronoi diagrams and define cells by finding the equations of the lines that bound them.
Where's Wallaby?: Find the hidden wallaby using the clues revealed at the chosen coordinates.
Loci The Basics: A very clear demonstration of how to use a compass and a straight edge to draw common loci.
Taken 2: Using loci in the movies! Two intersecting circles are drawn to find a specific location.
Voronoi Worksheet: This printable is for those wishing to practise constructing Voronoi diagrams using a pair of compasses, pencil and ruler.
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