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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Designing a 3D product in 2D: A sports bag

This problem solving lesson is intended to help you assess how well students are able to:

  • Recognize and use common 2D representations of 3D objects
  • Identify and use the appropriate formula for finding the circumference of a circle

The initial problem to solve is calculating the...

Finding areas of circles

This lesson develops the concept of area of a circle. In particular students will:

  • Sketch and construct loci involving arcs of circles
  • Calculate the area of a circle, given its radius
  • Calculate the radius of a circle, given its area

The opening question is about a goat...

Maximizing area: gold rush

This is a problem solving lesson, designed to help you access how well students are able to:

  • Interpret a situation and represent the variables mathematically
  • Explore the effects on a rectangle’s area of systematically varying the dimensions whilst keeping the perimeter constant.

...

Photographs

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

The task shows a large photograph with its width and height marked. Two arrangements are shown for printing the large photograph together with two smaller copies:

  • Two smaller photographs are placed with their...

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