Key Ideas - Chapter 5: Spatial and Geometrical reasoning

A list of resources to support the book and website "Key Ideas in the Teaching of Mathematics"

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Designing Logos

In this activity from Cre8ate maths students are encouraged to experiment with different kinds of symmetry to create a suitable logo. There is an exercise in using symmetrical properties to reproduce previously designed logos and this activity is complemented by Creating a logo, which gives students a free hand in using line and rotational symmetry to create their own logo.

publication year
2010 to 2019

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Packaging

This topic explores flat designs which can be folded and used to package food and drink. These Cre8ate maths activities provide rich experience of visualising 3 dimensional shapes from 2 dimensional representations.

In Four Chocolates and It Takes the Biscuit!, studentss will need to measure accurately and construct accurate diagrams. Four Chocolates will draw on and develop their understanding of relationships between linear dimensions and volume.

publication year
2010 to 2019

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Tiling Patterns

Cre8ate maths provides these activities which investigate the tessellation of regular polygons and its application in construction. Initially students identify which regular polygons tessellate, providing the opportunity to discuss the interior angles of polygons and the sum of angles at a point, before looking at patterns formed by semi regular tessellations.

In More triangles than squares students investigate the ratio of triangles, squares and hexagons, used to tile the floor in a shopping centre. There are a variety of methods which they could use to do this, it is most effective when pupils work in groups and are encouraged to both experiment and discuss their ideas.

publication year
2010 to 2019

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publication year
1990 - 1999

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