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Level Five > Geometry and Measurement

AO1: Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties.

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Children
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How High? and Other Problems

In this unit we use ruler and compass constructions to draw a variety of shapes and to construct angles such as 90°, 60°, 45° and 15°.

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Ruler and Compass Constructions

In this unit we discover how to use rulers and compasses to construct perpendicular lines and to bisect angles. These constructions are used to make a variety of polygons.

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Angles, Parallel Lines, and Polygons

In this unit, students will learn to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they will investigate an interesting locus problem related to polygons.

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Flip's Flag

apply the angle properties of squares, rectangles and triangles

use fractions to express the relationships between the areas of rectangles, squares and triangles

devise and use problem solving strategies to explore situations mathematically (be systematic).

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Vince's Problem

Find the centre of a circle using common material or mathematical construction tools.

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Sol's Serviettes

Use the areas of triangles and squares to find unknown lengths

Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram).

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Space Tiling with Captain Planet

In this unit tessellations are used as an application of angle properties of polygons. Interior angle properties of polygons are used to justify the existence of the five platonic solids.

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Ash in the Air

This is a level 4 and 5 measurement activity from the Figure It Out theme series.