These are the statements describing what students need to learn:
[Higher Level only statements are in blue]
- the distance between two points in three-dimensional space, and their midpoint. Volume and surface area of three-dimensional solids including right-pyramid, right cone, sphere, hemisphere and combinations of these solids. The size of an angle between two intersecting lines or between a line and a plane
- use of sine, cosine and tangent ratios to find the sides and angles of right-angled triangles. use of the sine rule, cosine rule and the sine formula for finding the area of a triangle
- applications of right and non-right angled trigonometry, including Pythagoras’s theorem. Angles of elevation and depression. Construction of labelled diagrams from written statements
- the circle: length of an arc; area of a sector
- equations of perpendicular bisectors
- 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
Click on a statement above for suggested resources and activities from Transum.
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Four Colour Theorem
This mathematical activity involves colouring in! That makes a change. Using the paint bucket tool can you flood fill the regions so that no two adjacent regions are the same colour?
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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.
