MARS: geometry: properties of 2D shapes

This collection features five resources on the topic of properties of 2D shapes.

The resources feature:

  • Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
  • Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
  • Tasks that provide mathematically rich problems that come with work for students to peer assess.

The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.

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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...

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