Posts Tagged ‘ratio’

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Outdoor Math Adventures___________ Middle School

September 9, 2019

As the weather improves – Spring in Melbourne, my city & Autumn in USA & 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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The Simple Math of Cheap Ice Cream & Why It Melts So Fast

July 19, 2019

Discovery Magazine: Home Made Ice Cream

More ice cream science: the scoop baking

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Math found in Strange Places

April 19, 2018

Mathspig was walking down a street in her home town, Melbourne, when she came across this Street Art piece on a wall of an auto-repair shop in Lygon St, Brunswick.

She nearly did a backflip with mathematical joy.

Fibonacci Rules!!!!!!!

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The Rosetta Project scaled down to a Lego Universe

November 28, 2014

According to Warwick Holmes, ESA:

The images were taken by the OSIRIS-Narrow-Angle-Camera on-board Rosetta spacecraft orbiting 15.5km above the surface of Comet-67P. They show the Philae trajectory before and after the first touchdown, which occurred at 15:34 GMT (12 Nov).  As previously reported the harpoons did not fire into the comet to hold Philae down.

The small inserted images show the imprint of the three Philae foot-pads left in the dusty surface of the comet (compare “before” 15:23 image and the “after” images at 15:43)  Philae first touchdown was at 15:34 GMT.

1 OSIRIS_spots_Philae_drifting_across_the_comet  2
Philae bounced off the comet surface after the first touchdown and remained “airborne” for 1hr 50min.  The first bounce was 1km high and went 1km directly east on this image.

Philae then touched down a second time resulting in a much smaller second bounce which lasted only 7 minutes.  The gravitational force on the surface of Comet-67P is 1/50,000th of (“g”) Earth’s gravity, hence the very high and long re-bounds.

This image does not show the second or final third touchdown positions as they were outside the field of view of this image as Philae continued heading east with respect to this image.
1a Rosetta lander on comet

Finally, Philae completed 100% of the science data acquisition sequence that was planned on the surface despite the “rough” landing(s).  It will probably be several months before exact scientific findings are being published as the scientists shall be spending many weeks processing and examining the plethora of scientific data from Philae and Rosetta over the landing site.

 This is fabulous. Live Comet up date here

To appreciate the distances involved we will scale everything down to the

Lego Universe:

2 Lego Space Cadet Human Ratio Mathspig

3 Lego Scale philae and comet

4 Lego Universe 1 mathspig

5 Lego Universe 2  Mathspig More Rosetta data from Warwick Holmes, ESA.

6 Rosetta Data

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The Rosetta Project … like throwing a dart from Sydney to Perth and hitting the bullseye

November 28, 2014

Many commentators in Australia claimed that the Philae landing was:

This is equivalent to hitting the bullseye of a dartboard in Perth from Sydney. With a billion euro ($1.4bn) dart. While blindfolded (as the mission was powered down for almost the entire journey). ABC The Drum

Did they get the maths right?

Inner bullseye of dartboard = 12.7 mm

1 Dartboard

67P comet = 4.1 km = 4,100 m at widest point

Distance comet from earth = 520 million km

 Actually, hitting the 67P comment was more like roulette as the Rosetta mothership swung into orbit. And, as the earth and the comet are moving, the distance constantly changes, but you can watch the distance changing here.

Fabulous Graphics from the Daily Telegraph

Fabulous Graphics from the Daily Telegraph

In the Dart Throwers Universe

We will assume someone can stand on earth and throw a dart at the comet … Yes! They would need very big triceps.

3  Dart throwers universe correction

 

So the commentators aren’t even close. It would still be a feat hitting a bullseye with a dart from 160km, but that would be from Sydney to, um, Nowra on the coast. 

WHY?

Comet vs bullseye ratio mathspig

Mt Everest RAtio

4 Dart Throwers universe 3

The distance from Sydney to Perth is 4100 km. At best the commentators would be talking about throwing a dart from Brisbane to Adelaide is 2044km (below).

Brisbane to Adealide

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Outdoor Maths Adventures: Middle School

June 30, 2014

 

 

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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2. Make a 3D Mini Me

October 24, 2013

The UK supermarket chain, Asda, is currently trailing 3D in-store printing of mini-me figurines. Cost: £ 40  (€ 47 or $Aus 67 or $USA 64)

Customers can buy 3D coloured versions of any person or object including the family car or dog (if Trixy can keep still for 2 mins) scaled down to an 8-inch figure.

Picture 2

Now you too can play games with yourself. (Warning: Avoid wording involving ‘play with’ and ‘yourself’.)

It takes two minutes using a hand-held scanner to create the 3D image and 6 – 8 hours for the 3D printer to produce the figure.

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The Virtual You

3D body scanning already exists so you can create a 1:1 scale avatar (A Mevatar, perhaps?) of youself for online shopping. By combining this technology with 3D printing the scaled-down Mini Me concept was born.

YOu can walk your personal exact-scale Avatar into an online shop and try on clothes!

YOu can walk your personal exact-scale Avatar into an online shop and try on clothes!

3D PRINTING: THE MATHS

Maths is involved at every stage of the Mini Me production to produce the scanner, the scanner program, the printer and the printer program.

It is the scale that is intriguing.

The scale used by the 3D printer is approx 1:10 ratio.

What?

According to the BBC average man in England is 5ft 9in (175.3cm) tall and weighed 13.16 stone (83.6kg) and woman is 11 stone (70.2kg) and  5ft 3in tall (161.6cm).

3D printers use materials from brass to silver to ceramics so figurines can be quite heavy.  Assuming the ceramic material has a similar density to the human body, the 1:10 scale male figurine would weight over 1 stone (8 kg) and a female 1 stone plus (7 kg)!

Will shoppers be staggering home in York carrying 7kg figurines?????

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Wait a minute:

mini mathspig Me

1:10 scale along each axis produces an overall scale of 1:1,000
1:10 scale along each axis produces an overall scale of 1:1,000

10 by 10 cube

Mini Me Mathspig is just 1/1,000 of Big Mathspig

or one little cube in the pack of 1,000.

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The supermarket figurine @ 1:1,000 scale by volume (and, assuming, weight too) would weight 83 gm ( 3 ounces) for men and 70 gm (2.5 ounces)  for women. That’s more like it. The figurines will be, in fact, a little heavier as customers will be scanned wearing clothes and shoes, we hope, or the scanning sessions at the supermarket will be really weird.

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What next?

How about your face on a Star Trek Figurine?

Done. See Engadget.

Yes, mathpiggies, we want maths to boldly go where no maths has gone before ……

Star Trek pic