Course review

3.1 Geometry and trigonometry - SL content

Review each learning objective in this topic, then open its concept explanation or question set.

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Learning objective

SL 3.1—Three-dimensional geometry

New

• 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.

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Learning objective

SL 3.2—Triangle trigonometry

New

• 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.

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Learning objective

SL 3.3—Applications of trigonometry

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

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Learning objective

SL 3.4—Arc length and sector area

New

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

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Learning objective

SL 3.5—Perpendicular bisectors

New

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

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Learning objective

SL 3.6—Voronoi diagrams

New

• 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.

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