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Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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Two by One

An activity making various patterns with 2 x 1 rectangular tiles.

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Hallway Borders

A hallway floor is tiled and each tile is one foot square. Given that the number of tiles around the perimeter is EXACTLY half the total number of tiles, find the possible dimensions of the hallway.


Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2
You could use cubes or counters for pebbles, with squared paper.
Can you make a rectangle with just one more pebble? Two more? Three more ...?
Have you checked that each rectangle is double the size of the last one?
How are you recording what you have done?