International Baccalaureate Mathematics

Syllabus Content

Voronoi diagrams: sites, vertices, edges, cells. Addition of a site to an existing Voronoi diagram. Nearest neighbour interpolation. Applications of the "toxic waste dump" problem

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

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.

Voronoi Worksheet This printable is for those wishing to practise constructing Voronoi diagrams using a pair of compasses, pencil and ruler.

Here is an exam-style questions on this statement:

"Points A (-1 , -1) , B (-3 , 1) , C (1 , -3) , D (3 , 1) and E (-3 , -3) represent the locations of toilet buildings on a large caravan site. These points are illustrated on the following coordinate axes.
Horizontal scale: 2 units represents 1 km.
Vertical scale: 2 units represents 1 km." ... more

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Loci 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.

Featured Activity

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

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Not Too Close

The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other. So far this activity has been accessed 53575 times and 662 Transum Trophies have been awarded for completing it.

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