Reasoning Geometrically

Reasoning Geometrically

Geometrical reasoning can involve coordinate geometry and properties of 2d and 3d shapes, and may even lead to algebraic representations. These problems invite you to explore geometry in a variety of contexts.

Coordinate Patterns 

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Route to Infinity 

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Can you describe this route to infinity? Where will the arrows take you next?

Marbles in a Box 

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
How many winning lines can you make in a three-dimensional version of noughts and crosses?

Kite in a Square 

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
Can you make sense of the three methods to work out the area of the kite in the square?
This article gives a brief history of the development of Geometry.