## Real World Maths: Surds and all that jazz …

October 12, 2022

Eddie Woo is an Aussie Maths teacher who runs his own Youtube Channel. So popular is this channel in October 2015, Woo won the NSW Premier’s Prize for Innovation in Science and Mathematics. This youtube clip won’t tell you where you will use surds, but it does something magical.

It compares surds to different kinds of music to help students understand why mathematicians go crazy over the concept of surds. This clip tells why maths is soooooo special. There is no guesswork or fake information in this maths. Maths must be accurate. And surds demonstrate this point. (Look for the 5 min mark)

## Will you use surds in real life?

Maybe. Probably, not. But surds are used in mathematical programs that demand accuracy. eg. engineering skyscrapers, building satellite dishes, and even in video games. But you won’t see them. Like so much mathematics surds will be hidden in some algorithm.

Here are two Examples:

# 1. The Golden Ratio:

Often written a 1:1.61 the Golden Ratio or Fibonacci Sequence appears in art and nature and has an aesthetic appeal to the eye, but the accurate ratio is:

Satellite dishes, headlights, torches, and bridges all designed using the parabolic arc. The parabola is defined by the quadratic function and sometimes solving for x produces an irrational no. namely a surd. Rounding off can introduce inaccuracies that can become more dramatic when scaled up to the sie of, say, a bridge.

# 3. The Golden Ratio in Music

Mozart arranged his piano sonatas so that the number of bars in the development and recapitulation divided by the number of bars in the exposition would equal approximately 1.618, the Golden Ratio. Find more @ CLASSIC FM.

Back to Mozart.

In the above diagram, C is the sonata’s first movement as a whole, B is the development and recapitulation, and A is the exposition.

And here is Mozart’s Piano Sonata No. 1 in C Major as an example. Can you hear the Golden Ratio. Not really. But it’s there.

## FREAKY FRIDAY: Surd and Absurd Math Word Maze USA edition

October 25, 2021

PDF file: Crazy math maze work sheet 1 USA

PDF file: Crazy math maze work sheet 2 USA

# CRAZY MATH MAZE WORKSHEET ANSWER

PDF File: Crazy math maze work sheet ANS USA

## Real World Maths: Surds and all that jazz …

November 23, 2020

Eddie Woo is an Aussie Maths teacher who runs his own Youtube Channel. So popular is this channel in October 2015, Woo won the NSW Premier’s Prize for Innovation in Science and Mathematics. This youtube clip won’t tell you where you will use surds, but it does something magical.

It compares surds to different kinds of music to help students understand why mathematicians go crazy over the concept of surds. This clip tells why maths is soooooo special. There is no guesswork or fake information in this maths. Maths must be accurate. And surds demonstrate this point. (Look for the 5 min mark)

## Will you use surds in real life?

Maybe. Probably, not. But surds are used in mathematical programs that demand accuracy. eg. engineering skyscrapers, building satellite dishes, and even in video games. But you won’t see them. Like so much mathematics surds will be hidden in some algorithm.

Here are two Examples:

# 1. The Golden Ratio:

Often written a 1:1.61 the Golden Ratio or Fibonacci Sequence appears in art and nature and has an aesthetic appeal to the eye, but the accurate ratio is:

Satellite dishes, headlights, torches, and bridges all designed using the parabolic arc. The parabola is defined by the quadratic function and sometimes solving for x produces an irrational no. namely a surd. Rounding off can introduce inaccuracies that can become more dramatic when scaled up to the sie of, say, a bridge.

## FRANTIC FRIDAY: Crazy Math Word Maze USA edition

February 24, 2020

PDF file: Crazy math maze work sheet 1 USA

PDF file: Crazy math maze work sheet 2 USA

# CRAZY MATH MAZE WORKSHEET ANSWER

PDF File: Crazy math maze work sheet ANS USA

## FRANTIC FRIDAY: Crazy Math Word Maze USA edition

June 3, 2019

PDF file: Crazy math maze work sheet 1 USA

PDF file: Crazy math maze work sheet 2 USA

# CRAZY MATH MAZE WORKSHEET ANSWER

PDF File: Crazy math maze work sheet ANS USA

## FRANTIC FRIDAY: Crazy Maths Word Maze UK edition

June 2, 2019

PDF file: 1. Crazy math maze work sheet 1 UK

PDF file: 2. Crazy math maze work sheet 2 UK

# CRAZY MATHS MAZE WORKSHEET ANSWER

PDF file: 3. Crazy math maze work sheet ANS UK

## Gadzooks! It’s a surd joke

March 15, 2019

And don’t for get the FAKE tan.

May 20, 2018

August 3, 2011

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## 22. Maths Karaoke

August 3, 2011

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## Get a karaoke CD. Ask kids to do karaoke in class. The trick is to rewrite the words to one song relevant to your subject.

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## Here are the Diskjokeys.com 200 Hits of All Time.

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## IMAGIN(ARY) NUMBERS

### Sure beats reality.

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# It’s a Wonderful Surd   √

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### Based on It’s a Wonderful World by Louis Armstrong

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