Archive for the ‘geometry’ Category

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The Cool Mathematics of Paper Planes

February 7, 2024

Mathspigs. You won’t believe this.

Takuo-Toda_Gizmodo site  Takuo Toda, a Japanese Engineer, broke the world record for the longest flight for a paper plane again when his 10cm long plane stayed in the air for  29.2 seconds. 

Scientists take paper plane design seriously. Here are some experiments involving the release of paper planes from high altitudes

Let’s Make Some Cool Paper Planes 

Origami F-16 Fighter Plane

Classic Paper Plane

10 Paper Airplanes

For more clear instructions try the 10 Paper Airplanes page

Paper planes include The Dart, The Moth and The Bat. The website also has games to play with paper planes.

Here is the very cool  Custom:

 

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How GEOMETRY gave Margot Robbie her long Barbie legs

July 30, 2023

Margot Robbie vs Barbie

How camera angle affects body shape

@Harrison Instagram

Newsweek article

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10 Amazing Ways to See a Cube

March 23, 2023

The CUBE GIF (above) is mesmerising. But there are many different ways to look at a cube.

Here are links to 10 Amazing Ways to See a Cube:

1. Tube Cube

Clink on  Link in Heading to see how to make this cube.

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2. Folded Paper Cube

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3. Anamorphic Cube

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4. Floating Cube

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5. Street Art Cube

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6. EDIBLE CUBE

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7. GIANT CUBE

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8. Spaghetti Cube

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9. Fashion Cube

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10. CUBIC BUBBLE

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OMG! Credit Card Antenna Geometry is so cool + some PIN Probability

January 24, 2023

The world  has mostly agreed on the size of a credit card:

Credit cards today contain a microchip and aerial.

A credit card is dissolved in ACETONE (solvent found in some nail polish removers) to extract the chip & aerial in this BBC video.

 

OMG! The cardless chip still works to pay for coffee. But if you wanted cash you would still need the PIN.

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Outdoor Maths Adventures: Middle School

September 16, 2022

As the weather improves – Spring in Melbourne, my city & Fall in USA & Autumn in the UK – it is an ideal time to take math outdoors. Here are some fab exercises for Middle School Math.

Outdoor maths middle school 1 mathspig

Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!

 

Outdoor Maths Middle School 2 Mathspig

McGill Uni link here.

Outdoor Maths MIddle School 3 Mathspig

Don’t forget to throw in Mathspig’s lame protractor jokes.

Outdoor Maths Middle School 4 mathspig

You’ll find full calculations at the Maths is Fun blog.

Outdoor Maths Middle School 5 Mathspig

You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.

Outdoor Maths Middle school 6 Mathspig

Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.

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Outdoor Math Adventures: Grade 3 – 5

September 16, 2022

It’s Autumn in UK & FALL in the USA so it’s the perfect time for a little bit of outdoor math for Grade 3-5 with AUTUMN leaves. Of course, you don’t need FALL LEAVES for this exercise, but it is colorful.
Outdoor Maths 1 Mathspig 2

This fab idea comes from Juliet Robertson, an outdoor education consultant in Scotland. Her blog Creative star learning is one of the most inspiring outdoor maths blogs you will find.

Outdoor Maths 2 Mathspig

Outdoor Maths 3 mathspig

Outdoor Maths 4 Mathspig

Outdoor Maths 5 Mathspig

Outdoor Maths 6 Mathspig

Outdoor Maths 7 Mathspig

Outdoor Maths 8 Mathspig

Check out Mathpig’s protractor joke here.

Outdoor Maths 9 Mathspig

Outdoor Maths 10 Mathspig

Another fab idea from Juliet Robertson.

 

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FOR THE LONGEST KICK or THROW in Football you need this MATHS

April 19, 2022

Mathspig Football Maths 1

Mathspig football Maths 1a

Mathspig Football Maths 2aMathspig Football Maths 3Mathspig Football Maths 4

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The following maths is suitable for Year 9+

but can be presented to lower grades just to show

maths is cool!

Mathspig Football Maths 5Mathspig Football Maths 6bMathspig Football Maths 7

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Toilet Paper FUN FACTS Maths

June 1, 2021

Mathspig is in Melbourne, Australia. We’re in Lockdown. AGAIN!

And toilet paper has disappeared off the supermarket shelves. AGAIN.

So today we are doing maths based entirely on toilet paper using information from the Toilet Paper Fun Facts website. Yes! It exists here.

Toilet Paper Fun Facts Website

Protractor Wind Speed Calculator

POP UP ANS Q 1 & 2 Yr 7&8 Toilet Paper fun facts

Traxxas XO-1 Website

Pythagoras Equation Diagram here

Here is the Sine Rule (Watch 1.5 mins)

Check sine curve here:

Listen to sine curve here:

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Real World Maths: Gotye and Some $$ that he got to know

November 12, 2020

Melbourne singer, songwriter, and geometrically inclined performer Gotye performing with Kimbra won 3 Grammy Awards for his song Somebody that I used to Know in 2013.

The Gotye youtube clip has had 1,535,344,012 or 1.5 Billion hits since it was first uploaded 5th July 2011. 

Mini Rates Exercise:

In 111 months Somebody that I used to know has scored 1.5 Billion hits. How many hits a. per month, b. per day, c. per minute? (Round off numbers)

Ans: a. 13.5 Million per month

         b. 450,000 per day (Assuming 30 days per month)

         c. 37,500 per hour and 625 per minute (for over 9 years non stop!)

Estimate of Youtube Earnings for this Song:

The Influencer Marketing Hub puts the rates an advertiser pays between $0.10 to $0.30 per view on Youtube, but averages out at $0.18 per view. Using the lower rate, how much has this song earnt in just over 7 years?

Earnings = 0.10 x 1.5 x 10 = 1.5 x 108     = $150,000,000  = $150 million*

*This calculation is based on a click per view of the video.  Gotye will not receive anything like $150M, however, because advertisers pay per click on their ad.

According to the Influencer Marketing Hub again ‘on average, the YouTube channel can receive $18 per 1,000 ad views. This equates to $3 – $5 per 1000 video views.’ Again, using the lower rate:

Video Hits =1.5 x 109

Divide by 1,000 = 1.5 x 10÷103    = 1.5 x 106

$3.00 per 1,000 video clicks earnings = 3.00 x 1.5 x 106   = 4.5 x 106

Realistic Earnings = 4.5 x 106    = $4,500,000  = $4.5 million

A Geometric Parody:

Here is Mathspig’s take on the song:

some-triangles-i-used-to-know 2

Somebody that I used to Know:

It’ll either help students do their exercises or work like Clockwork Orange and have them running screaming out of the room when they hear the first few notes.

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Real World Maths: Geometry, Heavy metal + Headbangers Heads

October 4, 2020

Are Headbangers Neck Wreckers?……..

Check out the Maths!


pic 1 headbanging-AWG4JT_188x156

The NHS reports that Australian Researchers Declan Patton and Andrew McIntosh, Uni of NSW, have conducted a study into brain and neck injuries of headbangers published in the British Medical Journal.

pic 2 headbanger hair pic

Concerts included as part of the study included Motörhead, Mötley Crüe, Skid Row, The Hell City Glamours, L.A. Guns, Ozzy Osbourne, Winger, Ratt, Whitesnake, and W.A.S.P.

Here’s Motorhead with a ‘nice’ moshpit.

motorhead

140 BPM for Ace of Spades. Motorhead BPM range is 91 – 203 

The Headbanger Study Concluded:

1. Head movement of more than 75o for an average heavy metal beat will cause head and neck injuries. This movement causes headache and dizziness.

 2. Beats above 130 bpm (beats per minute) cause neck injury.

The average headbanging song has a tempo of about 146 beats per minute (bpm).

and according to Mathspig:

3. Being punched up in the mosh pit. Do you need maths for that conclusion?

Researchers recommendations:

1. Reduce range of head and neck movement

2. Headbang to a  slower tempo

3. Wear a neck brace. (Isn’t a bad hair cut enough?)

Headbanger Rates Exercise:

How many headbeats per song of 5mins would a headbanger manage for the following song tempos?

Mathspigs excited. Look there is a band called Mutemath!!!!!!!! And here they are:

mutemath

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Just to show that there is something spookily primitive about headbanging here is Headbanger Baby: