Corner to corner
Description: Pupils investigate how different numbers of squares can be joined corner to corner, and the effect their arrangement has on the area of the rectangle that encloses the squares.
Suitability: Pupils working at all levels in individuals or pairs.
Time: 1-2 hours
Equipment: Square dotty paper or squared paper or computer drawing software, square tiles, tracing paper or mirrors
Key mathematical language: Rectangle, square, area, congruent, pattern, variable, maximum, minimum, conjecture, justification