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3 Geometry and trigonometry

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  1. 3.1 Geometry and trigonometry - SL content

    1. SL 3.1Three-dimensional geometry

      • Use distance and midpoint in three-dimensional space. • Use volume and surface area of 3D solids and combinations. • Identify right-angled triangles in 3D objects to find lengths and angles.

    2. SL 3.2Triangle trigonometry

      • Use sine, cosine and tangent in right-angled triangles. • Use sine rule, cosine rule and area formula 1/2 ab sin C. • Ambiguous sine-rule case is not included at SL.

    3. SL 3.3Applications of trigonometry

      • Apply right and non-right triangle trigonometry, including Pythagoras' theorem. • Use elevation/depression, bearings and labelled diagrams from written statements.

    4. SL 3.4Arc length and sector area

      • Find circle arc length and sector area. • Radians are not required at SL.

    5. SL 3.5Perpendicular bisectors

      • Find equations of perpendicular bisectors. • Use two points, or a line segment equation and midpoint.

    6. SL 3.6Voronoi diagrams

      • Use sites, vertices, edges and cells in Voronoi diagrams. • Add a site, use nearest-neighbour interpolation and solve toxic-waste-dump style problems. • Find boundaries, closest sites and region areas; applications include planning, disease, ecology and meteorology.