This collection features fifteen resources on the topic of calculation.

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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Translating between repeating decimals and fractions

This lesson develops the concept of translating between decimal and fraction notation, particularly when decimals are repeating. This is achieved by

  • Creating and solving simple liner equations to find the fractional equivalent of a repeating decimal
  • Understanding the effect of multiplying a...

Cross-totals

This task is designed to assess how well students understand addition, working methodically, and giving a proof.

A cross is given that uses two squares on each arm around a central square to give nine squares in total. The numbers from 1 to 9 must be placed in the squares so that the vertical and horizontal...

Ponzi pyramid schemes

The task is set in the context of a Ponzi scheme. A letter describes the following scheme:

“Do you want to get rich quick? Just follow the instructions carefully below and you may never need to work again:

1. At the bottom of this email there are 8 names and addresses. Send $5 to the name at the top...

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