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.

This collection features fifteen resources on the topic of proportional reasoning.

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.

Resources

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Yogurt

This task is designed to assess how well students understand proportional reasoning and measures set in a practical situation.

The task is set in the context of a company producing tubs of yoghurt. There is a series of questions relating to production that include calculating; profits, stocking of the...

A golden crown

This task is designed to assess how well students understand using density.

The task is set in the context of determining if a crown is made from pure gold. Figures are given for the volume and mass of the crown. Information is also presented for the density of gold and silver.

Examples are given of...

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