This collection features five resources on the topic of powers.

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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Applying properties of exponents

This lesson develops the concept of using the properties of exponents. In particular students will:

  • Recall and use the properties of exponents to generate equivalent numeric expressions.
  • Identify the appropriate property to use and apply it correctly.
  • Check the numerical value of an...

Estimating length using scientific notation

This lesson develops the concepts of estimating the lengths of everyday objects, and converting between decimal and scientific notation.

An introductory activity looks at converting between decimal and scientific notation.

The main activity involves a collaborative exercise centred around picture...

Giantburgers

This task is designed to assess how well students understand calculating in scientific notation.

The task is set in the context of a newspaper headline that claims: ‘Everyday 7% of Americans eat at a Giantburger restaurant.’

The following information is presented:

• There are about 8 x 103...

The real number system

These short tasks are designed to assess how well students understand working with scientific notation combined with numbers written in ordinary form. There are also questions on working with surds.

This task is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the...