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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The number system

This task is designed to assess how well students understand various aspects of the number system.

There are a series of short tasks on using a calculator, working with fractions, directed numbers, and extending a multiplication fact.

As an example:

12345679 x 27 = 333 333 333

and...

Division

This task is designed to assess how well students understand working with recurring decimals in practical situations.

The task gives students the information that when you calculate 100 ÷ 6 using a calculator, the result is 16. 666666667

They use this information to arrive at answers to a series of...

Hot under the collar

This task is designed to assess how well students understand using approximations for temperature conversions, and assessing their accuracy.

The following methods are given for converting from degrees Celsius to degrees Fahrenheit:

Method 1: multiply the Celsius...

Taxi cabs

This task is designed to assess how well students understand calculations in a practical context.

The task is set in the context of organising a trip for 75 people, where two types of taxi are available:
A small taxi costs $40 for the trip and holds up to 4 people.
A large taxi costs $63 for the...

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