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Tiling Diamonds
This resource from the Shropshire Centre for Mathematical Education contains many ideas that will hopefully indicate that work on tiling problems can be a central part of mathematical problem solving, particularly within the study of shape and space.
By using two basic designs of diamond shaped tiles, images and concepts involving symmetry, angle, pattern, size, enlargement, transformation and tessellation can be investigated. Students are encouraged to make thoughtful decisions about how they develop and notice properties of the patterns and arrangements made.
The activities are:
Closed Shapes
Sequences
Longest Line
Perimeter
Complete a shape or shape board
Fill an outline
Repeating shapes
Stretch a hexagon
Concentric triangles, kites, rectangles, pentagons and hexagons
Rectangles investigation
Creating a pattern
Repeating motif
Maintaining ratios
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Tiling diamonds 25.59 MB