Geometry • Tiles · Getting started
Build a patch
Join six square tiles edge to edge to make three different shapes. What stays the same about each one?
Give it a go
Try ideas with the activity tools, draw your thinking, or explain it in words. There may be more than one useful response. This activity does not save or submit your work.
What this explores
Area and shape invariance. Compare tile count with the changing outline. The area remains six square units even when the shape and perimeter change. Ask students to check edge connections.
A starting nudge
Count tiles, not the outline. Try moving a tile while keeping the shape connected.
Take it further
Can you find two shapes with the same area but different perimeters?
For teachers
Ask students to compare strategies and explain what makes their response valid. These difficulty bands are provisional, not verified curriculum or year-level alignments.
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