This is an advanced invesitgation most likely suitable for one of the following:

• A small group of confident GCSE learners.
• GCSE Further Maths learners.
• Year 12 A-Level Mathematicians.

Pupils will need access to a device.

• Equations of circles not centred on the origin.
• Fluent with GCSE algebraic proof.

Look through the attached teacher sheet to decide if resource presents appropriate challenge for your learners.

Pupils need to deduce equations of circles, and be able to plot those circles. There will be many circles so using a device is highly recommended.

Analysis questions at the end are challenging.