- View more resources from this publisher
Centre for Research in Mathematics Education (CRME)
Tooltip
These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
Floor pattern
This task is designed to assess how well students understand:
- Angles in quadrilaterals
- Rotation
- Geometric reasoning and proof
The task examines a floor pattern. The first example shows two overlapping squares, both with the same centre, but with one rotated through 45 degrees. The resulting shape can also be seen as a set of eight equal kites.
The first task is to find the measures of all four angles in the kites.
Two of the kites fit together along their shorter sides to form a hexagon. A quadrilateral is drawn around the shape. The task is to prove that the quadrilateral is a parallelogram.
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.
Show health and safety information
Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.
Downloads
-
Floor pattern (rubric) 91.56 KB
-
Floor pattern (student work scored) 701.84 KB
-
Floor pattern (student work unscored) 579.18 KB
-
Floor pattern (task) 114.12 KB
Show downloads
-
Floor pattern (rubric) 91.56 KB -
Floor pattern (student work scored) 701.84 KB
-
Floor pattern (student work unscored) 579.18 KB
-
Floor pattern (task) 114.12 KB
Download all files as a .zip1.39 MB
Information on the permitted use of this resource is covered by the Category Three Content section in STEM Learning’s Terms and conditions.
