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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. I'll polish them up a bit before uploading them here. Some can be incorporated into lessons and others act as discussion points.

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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.

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Resources can be used in educational settings, including private tuition.

Related Angles





Solutions

1) Two full turns would be 720 degrees. Subtract the co-interior angles to result in 540 degrees.

2) By looking at alternate angles, the middle angle is the size of the outer angles combined.

3) The middle angle can be split into two angles and by looking at alternate angles, they would make two full turns. The three angles therefore add up to 720 degrees.

4) Drawing "south-lines" at each vertex, we would end up with four pairs of co-interior angles. These add up to 720 degrees. Add the two additional 180 degree angles from the outside to get 1080 degrees.

5) \(n\) angles would result in \(n-1\) pairs of co-interior angle pairs. These add up to \(180(n-1)\) and with the two additional 180 degree angles from the outside, they add up to \(180(n+1)\). 

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