1

This year marks my tenth year as a teacher of Maths. During that time, I've built up a bank of teaching resources and ideas which I want to share with others. Some can be incorporated into lessons and others act as discussion points.

2

The majority of posts are focused around Maths, but there are some which look at pedagogy and CPD which can be used in other subjects/settings. Search for lesson resources using the tags at the side. Pedagogy has it's own section.

3

I'm happy for teachers to use my resources in schools, but if they are used for private tuition then I ask that a small portion be donated.

The Unofficial Circle Theorem

When a student is struggling with a Circle Theorem question, I've found that it's typically one of two issues:

1) They don't spot which Circle Theorems can be applied, especially on more complex diagrams. See this post for a resource aiming at tackling that.

or

2) They don't spot that two radii and a chord form an isosceles triangle. I've  dubbed this "The Unofficial Circle Theorem".

This is something I teach in Year 8, two years before seeing the proper Circle Theorems. The aim is to get students associating circles and radii with isosceles triangles prior to the "official" 7 Circle Theorems (or maybe more if your not AQA) making an appearance.

Solutions:

\(w=180-2\times44=92\)

\(s=\frac{180-148}{2}=16\) and \(r=360-(148+180-2\times78)=188\)

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