Two dimensional reasoning

This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. The focus is on two dimensional reasoning in the form of puzzles. 

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The six rooster problem

This problem looks at fencing chickens using pens. The challenge is to work out how many lengths are needed to create six separate pens for the roosters.

The dog problem

This problem explores loci. A dog stands between a fire hydrant and a tree, twice as far from the hydrant as the tree. He runs in a way so that he is always twice as far from the hydrant. What is the shape of the dog's path?

The museum problem

A floor plan is shown from a museum. The challenge is to place two security guards so that they will be able to keep watch on the whole museum

The origami problem (activity sheet)

With just one fold of a square piece of paper, is it possible to make a triangle and a quadrilateral? Two quadrilaterals? A triangle and a pentagon? A further challenge asks students to explore the combination of shapes that can be made by using two folds of a square.

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