This collection features three resources on the topic of angles.

The resources feature:

  • Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
  • 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.

Resources

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Applying angle theorems

This lesson develops the concept of using geometric properties to solve problems. Particular attention is paid to interior and exterior angles of polygons.

The lesson starts by considering four regular pentagons arranged so that the ‘gap’ between them is a rhombus. Students must calculate the angles in the...

Octagon tile

This task is designed to assess how well students understand symmetry, shape and angles.

Eight squares are places so that they each touch a vertex of an octagon. Students evaluate properties of the resulting pattern, including ideas about lines of symmetry and calculating angles between pairs of squares and...

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...