Unit 7 · 6 lessons

Geometry and Measurement

Use angle, triangle and circle relationships to analyse designs, convert between metric and imperial units, apply the Pythagorean theorem, predict how scaling changes area and volume, and find the volume of prisms, pyramids, cylinders and cones.

63 practice questions
49 flashcards
1 interactive lesson

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Lessons

1Angles, Parallel Lines and PolygonsFind unknown angles using complementary, supplementary and vertically opposite angles, the angles formed when a transversal crosses parallel lines, and the interior and exterior angle sums of polygons.11 questions
2Triangle and Circle Properties in DesignDecide whether three lengths make a triangle, use the exterior angle and longest-side facts, and use four circle properties (central and inscribed angles, the angle in a semicircle, the perpendicular from the centre) to analyse and build designs.Interactive10 questions
3Units and Measurement SystemsConvert within the metric system using powers of 10, convert area and volume units correctly, convert between metric and imperial units with exact conversion factors, and see where these systems came from.11 questions
4The Pythagorean TheoremUse $a^{2} + b^{2} = c^{2}$ to find a missing side of a right triangle, apply it to real and composite shapes, and use its converse to check whether a corner is square.10 questions
5How Changing Dimensions Changes Area and VolumeWhen every length is multiplied by a scale factor $k$ , perimeter is multiplied by $k$ , area by $k^{2}$ and volume by $k^{3}$ . Learn why, what happens when only some dimensions change, and how to work backwards to the scale factor.10 questions
6Volume: Prisms, Pyramids, Cylinders and ConesFind the volume of prisms and cylinders with $V = B h$ , of pyramids and cones with $V = \frac{1}{3} B h$ , keep units consistent, and convert between cubic units and litres.11 questions