Category Archives: General

38. Quick Constructions

A quick idea today.

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Most Maths Departments use squared paper exercise books. Great for lots of mathematical concepts, but not constructions.

How many times have you seen a perpendicular bisector drawn using the right angle from the squared paper with some freehand scrawled ‘construction’ lines?

The solution to this topic is so simple – use plain paper. But then they forget to stick in their book or lose it!

The best activity I have used is to use folded A4 plain paper for the whole constructions topic. Pupils must annotate their work with instructions and revision hints. When you finish, you give them a coloured paper or card cover to attach. You could include a printed summary of skills on it.

The final homework is to illustrate the cover of the booklet with their favourite technique or related design.

This task is so easy to do, involves little preparation, creates a useful revision resource and promotes independent learning.

(The diagram is from BBC bitesize website which has some nice revision activities on this)

34. The Dancing Cipher

A different way to look at data and probability is to introduce letter frequency analysis.

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I set pupils the task of finding out the letter frequency data for the english language. Not much of a challenge for a bright student with the internet.

However …
I then gave them four A4 sheets of symbols to decode. Literally four pages of code, with no hints except they had to determine two literary works and authors from it. They had two weeks to solve it.

In hindsight, they described it as the best homework ever. I had parents contact me to see if they had solved it correctly – not to help their child, they were in competition to see who would get it first!

How to do it
Pick a text which is freely available on the internet – it saves typing out pages of text. I chose ‘Through the Looking Glass’ by Lewis Carroll – lots of interesting words!

I found a great website which gives you the Dancing man cipher amongst others. You paste in your text and select your substitution cipher. It then encodes your text for you. I chose the Dancing Man as it was the second literary work: The Adventure of the Dancing men (A Sherlock Holmes story)

I pasted this into Word and this formed the homework.

The interesting thing about this substitution cipher is that it has 52 symbols and no spaces. It is tricky to cheat as you would have to know the name of the cipher and the full cipher was not published in the book. There is more than one variation of the code as different people have tried to fill in the missing symbols.

Classics
This task ticks all the boxes for data processing, coding, independent study and literacy. In fact several pupils came back and said they had read Conan-Doyle’s classic work as a result of a maths task.

33. Infographic 1

This made me laugh:

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Originally seen on Pinterest, linking to Fail blog

The main thing that caught my attention was how the infographic is constructed and how it could be used for other tasks. It’s made using Grafio. The app is available as a lite (free) version or a paid business version (£5.99 at the time of posting). Not available on Android devices.