Regular visitors to the site will be used to seeing a variety of problems published each month, often based around a single theme. This month we are trying something different, and have set up Projects@NRICH, where students will be able to share their initial ideas and their work in progress, as well as their findings.

It has been inspired by how the teachers at Kingsfield School in Bristol work with their students. A considerable proportion of the lesson time at Kingsfield is dedicated to working on questions, ideas and conjectures generated by students, following exposure to a particular, and potentially rich, starting point.

We have chosen a starting point on Functions and Graphs as the focus for this first Project@NRICH.
Take a look at the starting point (which has been adapted for different stages):

• what do you notice?

• identify some possible lines of enquiry
• share your thoughts and conjectures
• investigate and explore
• share generalisations and offer convincing arguments
• communicate your findings