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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.

Triangular Numbers

The triangular numbers form a quadratic sequence, but interestingly the last digit of each triangular number forms it's own sequence.

 

The sequence begins with 1, 3, 6, 0, 5, 1, 8, 6, 5, 5, 6, 8, 1, 5, 0, 6, 3, 1. This is a palindrome!

Including the "zero-th" term and 19th term, we get 0, 1, 3, 6, 0, 5, 1, 8, 6, 5, 5, 6, 8, 1, 5, 0, 6, 3, 1, 0. The next 20 terms follow the same sequence and given that the last digits of \(n\) repeat every 10 terms, these 20 terms will repeat indefinitely.

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