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Centre for Research in Mathematics Education (CRME)
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Table tiling
This task is designed to assess how well students understand tessellation, area, and patterns.
A square table top is to be tiled using three types of tile:
- Square
- Half a square (cut along the diagonal)
- Quarter of a square (half of a ‘half’ tile)
A design is shown for a 20 cm square table. Students must calculate how many of each type of tile is needed to cover larger tables. Using their results they are required to give a method for how the tiles needed could be calculated for any size of table.
This task is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. A full rubric is given for the task, together with examples of student work and suggestions for helping students overcome misconceptions. Further information on the collection is given here.
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Downloads
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Table tiling (rubric) 70.74 KB
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Table tiling (student work scored) 229.67 KB
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Table tiling (student work unscored) 156.28 KB
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Table tiling (task) 223.55 KB
Show downloads
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Table tiling (rubric) 70.74 KB -
Table tiling (student work scored) 229.67 KB
-
Table tiling (student work unscored) 156.28 KB
-
Table tiling (task) 223.55 KB
Download all files as a .zip648.66 KB
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