Rectangles from squares

Last updated: 15/11/2023
Contributor: Teachit Author
Rectangles from squares
Main Subject
Key stage
Algebra: Proof
Includes answers
Resource type
Student activity

An investigation, using geometry and algebra, to explain numerical observations when squaring a number, n and when multiplying (n + 1)(n - 1).

Students are asked to try numerical examples and generalise, then to show the problem with diagrams or manipulatives and, finally, using algebra.

The Word document gives an independent investigation with a simple proof extension. The PowerPoint gives an introduction to the concept of algebraic proof for KS3.

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