This collection features ten resources on the topic of area.

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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Circle pattern

This task is designed to assess how well students understand

The initial problems shows a black circle with radius 2r, inside of who two smaller circles of radius r are drawn. Students must show that the fraction of the diagram that is black is equal to a half.

The initial problem is altered with four...

Circles and squares

This task is designed to assess how well students understand ratio and areas.

A diagram is shows a circle with one square inside and one square outside, both just touching the circle. The first task is to work out the ratio of the areas of the two squares.

A circle is then inscribed inside of the...

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