March 14th is π Day.
The third month and the 14th day
relates to 3.14 which is π to three
Today's challenge is to memorise π to as many digits as you can before it fades completely.
Though it is not necessary for students to memorise pi these days it is important that they are familiar with it and can use a rough approximation of it to estimate answers to questions. This exercise certainly helps students become familiar with pi but also uses pi as an arbitrary subject of this memory challenge.
Incidently, in the days when memorising pi was important people devised mnemonics such as “How I wish I could calculate pi” where the number of letters in each word represent the first seven digits of pi. Do you know any other mnemonics for remembering pi? Please let us know.
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How does the circumference of a glass compare to the height of the glass? You'll be surprised when you find out.
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Apple iPad Pro
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Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.
Math with Bad Drawings
I had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation.
This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great.
Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone.
Where \(e\) is Euler's number, the base of natural logarithms (2.718...) and
\(i\) is the imaginary unit, the square root of negative one.
First discovered by the Indian mathematician Madhava of Sangamagrama in the 14th century
then adapted and published by Gottfried Leibniz around 1676.
The normal distribution is the most important continuous distribution in
statistics and the graph is sometimes more commonly referred to as the bell-shaped curve.
drop \(n\) needles of length \(L\) onto a plane ruled with parallel lines \(t\) units apart.
Count the number of needles, \(h\), that cross lines.
First posed by Mengoli in 1650 and solved by Euler in 1734 this is known as The Basel problem.
Even calculus has a use for pi as can be seen in this integration.
I didn't know you could find the factorial of a fraction.
Matt Parker's new book is all about our mistakes and misadventures with maths, geometry and all things numbers. Going from the mundane as to arguments about how many days in a week and the shape of footballs on signs, to famous errors and mistakes like the Space Shuttle disaster, London's walkie talkie building and the Millennium wobbly bridge. He explains how these problems occurred and in the case of some that they had occured in the past and we hadn't learnt from previous experience.
Originally a maths teacher from Australia, Matt Parker now lives in Godalming in a house full of almost every retro video-game console ever made. He is fluent in binary and could write your name in a sequence of noughts and ones in seconds. He loves doing maths and stand-up, often simultaneously.
You can find out more about this book here
Top Scottish teacher Chris Smith was interviewed on the Mr Barton podcast
and talked about his school's amazing Pi Day themes.