When students meet something for the first time, we want them to have a sense of awe and wonder, and be curious to explore more. In this feature, we present situations which we hope will be novel for your students, provoking them to embark on a journey of discovery.
problem
Triangle transformation
Age
7 to 14
Challenge level
Start with a triangle. Can you cut it up to make a rectangle?
problem
Diminishing returns
Age
11 to 14
Challenge level
How much of the square is coloured blue? How will the pattern continue?
problem
Mixing paints
Age
11 to 14
Challenge level
Can you work out how to produce different shades of pink paint?
problem
Squaring the rectangle
Age
14 to 18
Challenge level
Can you find a way to turn a rectangle into a square?
problem
Vanishing point
Age
14 to 18
Challenge level
How can visual patterns be used to prove sums of series?
problem
Mixing more paints
Age
14 to 16
Challenge level
Can you find an efficent way to mix paints in any ratio?
list
Adventures into the unknown
These activities offer novel situations which will help provoke learners' sense of awe and wonder.
