Looking at the new content for UK GCSE Mathematics a completely new entry on the specification is “find approximate solutions to equations numerically using iteration”.

Teaching the new specification this year I needed to work on this and wrote this post;
GCSE New Content – Iterative Methods for Numerical Solution of Equations.

I see from my blog Statistics that this is a very popular post so have made it my first summer holiday job to update it.

Note the additional section on Further Resources / Questions (scroll down the post).