GCSE Maths Circle Theorems
- Read the task in Box 1.
- Download each of the pdfs and read them. Keep these open so you can refer to them as you watch the video.
- Watch the video.
Maths has always had many questions where students are required to provide an explanation of their answer and/or reasoning as well as an answer. The ability to concisely explain mathematical processes and reasoning using the correct mathematical language is very important. It is one of the things that separate a good mathematician from an outstanding one. In shows a student can correctly determine what the question is asking for and fully understand the process they have been through and is excellent preparation for studying mathematics at a higher level.
These students are in year ten in their second year of early entry GCSE. They have covered the curriculum but while GCSE requires some written answers they often form a very small part of the exam and are sometimes only touched on by teachers as a result. Questions requiring pupils to "prove", "show", or "explain" are the ones that require extended writing. Pupils will be familiar with these questions and with mathematical writing but will probably not have done much of it before. These questions relate to circle theorems. The students have studied these theorems in depth and are aware that they need to explain their answers referring to the particular theorem they are using and including keywords in their answers.