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Lesson Plan: A problem-solving activity about optimisation involving the construction and calculation of areas and the comparison of percentages.

Subject: Mathematics.
Age of students: 11-14 years.
Hardware: Tablets (iPad 1 per class or student).
Software: Socrative or Classflow
Apple airserver
OR Showme and Reflector
OR Plickers.
Functionalities of Technology: Sending and displaying
Processing and analysing.
Time needed: 2-3 hours.
FaSMEd partner: University of Newcastle Upon Tyne.

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

  • Analyse a realistic situation mathematically.
  • Construct sight lines to decide which areas of a room are visible or hidden from a camera.
  • Find and compare areas of triangles and quadrilaterals.
  • Calculate and compare percentages and/or fractions of areas.


This tool describes ways in which digital technology can be used to support formative assessment. The original materials (pen-and-paper) were designed by the Mathematics Assessment Project and can be found under the link above.

Formative assessment in Science and
Mathematics Education (FaSMEd)
The Research Centre for Learning and Teaching
Newcastle University