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Lesson Plan: A problem-solving activity about proportional relationships and the ratio concept in the context of maximising profit.

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 is intended to help you assess how well students are able to solve real-life mathematical problems. In particular, students will develop their abilities in the following areas:

  • Using proportional relationships to solve multistep ratio and percent problems.
  • Drawing inferences about a population from a random sample of data.
  • Making and stating assumptions based on real-life situations.


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