Yin Yang
Can you reproduce the Yin Yang symbol using a pair of compasses?
Problem
Using just a pair of compasses, a ruler and a pencil, recreate this Yin Yang symbol:
Getting Started
The image is made using only one kind of shape, just in different sizes.
You might find that you need to draw full outlines of some shapes which you then rub out parts of afterwards.
Student Solutions
Many thanks to Alistair of Histon Junior School, who sent in this solution:
Teachers' Resources
Using NRICH Tasks Richly describes ways in which teachers and learners can work with NRICH tasks in the classroom.
Why do this problem?
This challenge not only enables pupils to practise using a pair of compasses and measuring accurately, but it also provides a very good opportunity for discussing properties of shapes.
Possible approach
To begin with, it might be appropriate to display the image to the whole class and invite them to describe what they see. Children could share their own method for drawing the symbol with a partner and the two could decide which of their ways might be more efficient and why.