This collection features ten resources on the topic of properties of Pythagoras’ theorem.

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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Pythagorean triples

This task is designed to assess how well students understand Pythagorean Triples.

In the initial task students are given the Pythagorean Triples

(3, 4, 5), (5, 12, 13), (7, 24, 25) and (9, 40, 41)

They investigate the relationships between the lengths of the sides of the triangles that belong...

Circles in triangles

The task shows a circle or radius r that just touches the sides of a right triangle whose sides are 3 units, 4 units, and 5 units long. A square is constructed from the right angle with length r so that one of its vertices is at the centre of the circle. Further lines are constructed from the centre of the circle...

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