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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Describing and defining quadrilaterals

This lesson develops the concept of naming and classifying quadrilaterals according to their properties. Students identify the minimal information required to define a quadrilateral. They sketch quadrilaterals with given conditions.

During the first part of the lesson students choose from the words ‘all’, ‘...

Describing and defining triangles

This lesson develops the concept of constructing triangles with given conditions. In particular students will:

  • Recall and apply triangle properties
  • Determine whether a set of given conditions for the measures of angle and/or sides of a triangle describe a unique triangle, more than one...

Roman mosaic

This task is designed to assess how well students understand:

  • Symmetry
  • Names of shapes
  • Describing angles

A representation is shown of a Roman mosaic floor that was uncovered in Spain. The task is to describe the complete pattern as precisely as possible, so that someone...

Sorting equations of circles 2

This lesson develops the concept of using the equation of a circle. In particular students develop their knowledge of how to:

  • Translate between the equations of circles and their geometric features
  • Sketch a circle from its equation

In the introductory activity a circle has been...

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