This collection features four resources on the topic of constructions.

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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Optimizing coverage: security cameras

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

  • Construct lines of sight for the visibility of a camera
  • Find and compare the areas of triangles and quadrilaterals
  • Calculate and compare percentages and/or fractions of areas

The...

Drawing to scale: a garden

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

  • Interpret and use scale drawings
  • Use proportional reasoning
  • Work with metric units

The initial problem is to construct and conversion graph to convert between measurements in the...

Inscribing and circumscribing right triangles

This is a concept development lesson that develops thinking on decomposing complex shapes into simpler ones in order to solve a problem. There is work on bringing together several geometric concepts to solve a problem. Students also find the relationship between radii of inscribed and circumscribed circles of right...

Security camera

This task is designed to help you assess how well students are able to:

  • Construct lines of sight for the visibility of a camera
  • Find and compare the areas of triangles and quadrilaterals
  • Calculate and compare percentages and/or fractions of areas

A shop owner has...