Archive for the ‘direct proportion’ Category
3. How far can a biofuel Mini drive on 1 kg of human fat?
September 30, 2014Outdoor Maths Adventures: Grade 3 – 5
June 30, 2014This 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.
Check out Mathpig’s protractor joke here.
Another fab idea from Juliet Robertson.
Outdoor Maths Adventures: Middle School
June 30, 2014
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!
McGill Uni link here.
Don’t forget to throw in Mathspig’s lame protractor jokes.
You’ll find full calculations at the Maths is Fun blog.
You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.
Some students will discover their coordinate point is not on the grid. Students should then work out that they will need a different scale for the yaxis. You can get more inspiration at the Stand Again blog.
Get Ready for the Lego Olympics
February 23, 2012Get ready mathspigs. You need one Lego Man, Girl, Vampire or Alien each for this exercise. Now we are going to set out the Lego Olympics Athletics track.
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But this story of the Olympics begins with Carl Lewis, one of the greatest athletes of all time who won 9 Olympic Gold medals in 100m, 200m, relay and long jump.
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Carl Lewis
Mathspig needs to find out how big the Lego Olympics track would be. How? Easy.
Carl Lewis will be our standard Lego Man.
I chose Carl Lewis because he kindly gave me his autograph once when I sprinted in high heels across a ballroom floor at a sports dinner in Melbourne and beat all other journalists. It was my personal best in high heels, I think.
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This means everything at the Lego Olympics will be
1:50
of the real Olympics.
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The Lego Bird’s Nest Stadium @ Beijing will be 1/50th of the real Bird’s Nest Stadium. (Not the scale shown here). Pictures by Johor Bahru.
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The Lego Beijing Water Cube Swim Centre will be 1/50th of the Real Water Cube.
EXERCISE 1:
Now mathspiggies over to you. The first thing to do is calculate the Lego Olympic measurements (table below).
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EXERCISE 2:
Then mark out a Lego Olympics 100m sprint to scale and/or
draw a Lego Olympic track (in chalk, perhaps) and/or
step out a Lego Olympic marathon track and/or
make a pole vault pole to scale for your little Lego Man.
Or bring in a Lego Man/Girl/Pirate and step out the Marathon Track (840m to scale).
This little guy has to run 840 m!!!!! Wow!
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Structure 
Real Olympics 
Lego Olympics 
100m Sprint 
100m 
2m 
400m Sprint 
400m 

42 km marathon 
42,000m 

Olympic Pool Length 
50m 

Olympic Pool Width 
25m 

Olympic Rowing Course 
2,000m 

Equestrian Jump Height 
2m 

Approx Pole Vault Pole Length 
5.5m 

Javelin Length Men Women 
2.6m 2.2m 

Olympic Stadium Straight Segment Semicircle Radius inner Lane Lane Width 
84.39m 36.50m 2.5m 
Little Lego Men Need lotsa Lego Maths
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There is a lot of maths in Lego, mathspigs, but rather than smash up bridges not to mention toes with 40 kg weights, here are some other cool ways to do LEGO MATHS.
You can make yourself into a Lego Figure like Mathspig, but first ….
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Ideally, students would measure their own Lego Man. Otherwise, use the dimensions shown and fill in the chart.
To calculate your Lego man conversion factor:
Lego Conversion Factor = Your Height mm/ Lego Man height mm
eg. Mathspig Height = 172 cm
Mathspig Lego Conversion = 1720/ 38.2 = 44.6
A full size Lego Mathspig is 172 cm, therefore a full sized lego Mathspigs legs would be:
Mathspig Lego Legs = 14.0 x 44.6 = 624.4 mm = 62.4 cm
Dimensions mm 
Lego Man Dimensions mm 
Your Real Dimensions mm 
Your Lego Man Dimension mm 
Height (Not including the round thing ie. the stub) 
38.6 

Head Height Top to chin 
8.5 
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Neck 
1.2 
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Torso Shoulder to hip (Swivel pt) 
14.9 
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Leg Length Hip to Floor 
14.0 
************ 
Now you could draw or photo shop a real picture of yourself to these dimensions or – this is so cool – just make a Lego Man Pic of yourself @ Reasonably Clever
Zombie Maths 2: Direct Proportion
December 13, 201112 minute Maths Guru
July 4, 2011Meet Salman Khan. He has put free maths online.
This article on Salman appeared in The Sunday Times, UK, 12 JUN 2011.
Salman, 28, started putting tutes online for his 12yearold niece, Nadia, and things grew. So far the Kahn Academy’s claim to fame are:
* Over 2,400 videos including hundreds and hundreds of 12minute maths tutes
* Over 63,000,000 lessons delivered.
* Bill Gates kids use the site.
* A staff of 1 with funding from The Bill and Melinda Gates Foundation.
* Tutes on Biology, Chemistry and Physics too.
You can look up the maths tutes by topic @ The Khan Academy.
Or search topics on Youtube eg. Introduction to Conics Khan
Why Does Mathspig like The Kahn Academy? Because it’s:
1. Free.
2. Quick
3. Clear
4. Lowkey
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Salman gives digital chalkandtalk tutes like a teacher. He hand draws the equations and graphs. He uses a calculator from time to time, but he tends not to use whizz bang spreadsheet graphs or perfectly presented textbook equations. It’s a bit wobbly and it’s all coming from Salman’s head.
And students like this approach. It makes maths look doable.
Go, Salman.
Mathspig thinks you are just GORGEOUS!!!!!!!!!
Australia’s Year 7 – 12 Maths Curriculum is already online and free, funded by McDonald’s. See What are maths teachers for, sir?
The tutes on Maths Online are produced by Aussie Maths teachers and they are very good. Mathspig, of course, imagined the quadratic function tutes might look something like this:
Jumping Hair Gel or Sticky Maths
May 17, 2011Eurovison 2011
Here are JEDWARD, the ex XFactor, UK,
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identical twin contestants who have morphed into super
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hairgelled stars of Eurovision 2011.
Jumping Hair Gel, there is a lot of maths in hair products!!!!!
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HAIR GEL SCIENCE
There are all sorts of instruments for testing hair gel.
It must be tested so that the same product is produced each time.
This piece of equipment tests the ‘stiffness’ of hair gels. You can find a lot more hair product test equipment at the manufacturers.
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The hair gel and mousse market is worth $US 581 million in USA alone.
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Hair gel contains polymers (long chain molecules) and alcohol. The alcohol dries off leaving the polymer clinging to the hair strand which consists of long stands of proteins. The hair gel seals in the moisture making the hair firm.
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This piece of equipment tests the stiffness of hair gel on hair. Cosmetic chemists make up the product formulas, test the products and produce graphs like the one below.
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Note: Hair gel becomes more floppy in humid conditions. RH is relative humidity.
You will find this graph and more information at the Styling Technology website.
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HAIR GEL MATHS
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You can see from this early photo that Jedwards’ hair is growing fast.
So, mathspigs, when will their hair be taller than Jedward?
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We can work it out!
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Jedward Height (according to Jedward) = 5ft 11 inch = 180 cm
Measuring Jedward on the Left in photo above:
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Jedward Hair Height in pic= 1.7 cm
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Jedward hairline to chin length in pic = 3.2 cm
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Jedward hairline to chin in real life = 19.1 cm*
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Jedward hair height in real life = x cm
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*This measurement is the 50 percentile or median of hairline to chin measurements for adult males.
Jedward hair height = 10.1 cm
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Jedward Height = 180 cm
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When will Jedwards’ hair be taller than Jedward?
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We must know something about hair growth.According to Tom Dawson of Procter & Gamble, the hair growth cycle for young, healthy scalps,involves hair typically growing for three years then stopping and remaining dormant for three months. You’ll find more information at the Happi website (Household and personal products industry)
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Hair growth rate = 1.25 cm per month
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But hair grows on average only 11 out of12 months:
Assuming Jedwards hair just keeps growing
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and hair gel just keeps getting stronger then
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Jedwards hair would be as tall as Jedward
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in 12 years time!!!!!!
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Ahhhhhhhh!!!!!! That’s spooky.
Sledging Ricky Can Be Tricky!!!!
July 10, 2009Cricket fans around the world have enjoyed billionaire Richard Branson’s latest stunt. On the 9th July 2009 according to a report on news.com.au , his face covered in the St George’s Cross was projected onto the Sydney Harbour Bridge with the words “Good luck Ricky. You’ll need it. Dicky x” . #mce_temp_url#
According to the picture from news.yahoo.com Richard’s grinning face filled one pier of the bridge.
You can see that it can be tricky to sledge Ricky. Firstly, according to this AAP photo published on The Chronicle website #mce_temp_url# you can see Richard Branson looks like he has escaped from a vampire movie. Maybe he is the grandad of Cullen in Twilight.
Lets do the Vampire maths, mathspigs.
Each pylon is 89 m high.
Now this calculation is all about ratio, Horatio!!!!! By measuring this photo mathspigs, you can now work out:
The width of the pylon.
From the width of the pylon you can calculate the height of his head and the “length” of Gramp Vamp Branson’s teeth!!!!!!!
If you look at this Leonardo Da Vinci drawing to the left you may actually see a Richard Branson likeness. But Richard Branson is alleged to be too young to have posed for this Da Vinci sketch. If, however, he was really a vampire … maybe. Andit would explain his interest in Virgins!!!
Nevertheless, the issue we are intereseted in here, mathspigs, are the proportions. And according to Wikipedia the average height of a person is 7 ( to 7.5) times their head height.
Measure the height of Gramp Vamp Branson’s head and calculate his virtual height. This should put anyone off their cornflakes.