MathSeen
← Lesson library
AvailableSecondary mathematics

Square photograph

Expansion of the square of a difference

Overview

A square photograph is printed on a square sheet of paper. As the photograph becomes smaller than the page, students investigate how the area changes and discover the algebraic structure represented by (a − b)². Through visual decomposition and area reasoning, learners construct the identity rather than memorise it.

Key ideas

  • Area models
  • Algebraic representation
  • Visual reasoning
  • Expansion of expressions

How this lesson is built

This lesson follows the MSS learning flow: situation, observation, exploration, representation, formalisation, and application.

Read the full learning flow

Resources

  • Lesson designReady
  • Teacher guideReady
  • Student activitiesReady
  • Assessment ideasReady

Lesson video

Lesson video coming soon.