Posts Tagged ‘Australia’

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Pi in the Movies

March 8, 2017

Pi Day … 14th March ….. 3.14

Pi Day celebrates an AMERICAN Pi because:

1. AUSTRALIA and UK:

Australia and UK write their dates DD/MM/YY and the 14th March or 14.3 is nothing to get excited about.

2. EUROPE

Pi in Europe is pronounced Pee. So 14th March Would be

Pee Day.

And Pee Day would not be something to encourage in Middle School. Also the perfume below is hilarious in Europe.

…………………………………………………….

Nevertheless, here are 2 interesting appearances by Pi in the movies plus a middle school challenge to count the Pi’s in the movie clip.

1. A Beautiful Mind

In this movie where Russell Crowe plays Mathematician Nobel Laureate John Nash, there is a maths  blooper involving Pi. Watch for pi on the window at 43 seconds.

You should have seen 0<π<1. But we all know π = 3.1415 etc.  For those mathematically fastidious an argument can be put that π can be used as a variable, which would make the statement true. But π is a universal constant so using π as a variable is just STUPID.

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2. Pi: The Movie

This 1998 psychological thriller promo clip is also the coolest maths promo you will ever see. It is only 1.42 mins long and it is big on π. But be warned the full lenght moive (SPOILER ALERT) involves madness, π and self-lobotomising with a power drill with a ‘happy’ ending.

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Pi Day Challenge:

How many times do you see π in this clip? Watch carefully!!!!!

 

 

 

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Smoke Jumpers and their Amazing Wildfire Maths . . . . . . . . . . . . . . METRIC UNITS

December 5, 2016

mathspig-smoke-jumpers 

With wildfires in Texas and now Australia is facing the fire season, it is time to think about fire fighter maths.

mathspig-metric-units-fire-math

METRIC UNITS

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other fire fighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Fire fighters who parachute in to put out small blazes started by lightening are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

HOW FAST CAN YOU RUN?

METRIC UNITS

Time Trial:

Mark out a 10 m course. Make 3 time trials.

t1 =

t2 =

t3=

Average your time:

tav = (t1 + t2 + t3)/ 3 =

Your Speed S = 10/tav = ……… m/sec

mathspig-firefirghter-maths-1

HOW FAST IS A GRASS FIRE?

This will, of course, vary depending on the wind speed. A typical grass fire in Australia in a flat area can travel at 20kph (up to 30 kph) in a gentle breeze.

Fire Front Speed Grass Fire

Fire Front Speed = 20 kph = 20 x1000/(60 x 60)

                               = 20 x 0.27777777 = 20 x 0.28 m/sec

                               = 5.6 m/sec

mathspig-firefighter-maths-2

CAN YOU OUT RUN A FIRE?

Average Running Speed Boy 13–14 yo = 3.0 m/sec

Average Running Speed Girl 13–14 yo = 2.4 m/sec

We’ll assume, boy or girl, that you are really motivated and can run away from the fire at top speed of 3.0 m/sec. Now calculate the distance you can run and the fire front moves in 10 secs intervals up to 1 minute.

mathspig-fire-fighter-table-1

This is not looking good. See more Firefighters Need Maths here.

We can do very accurate calculations using simultaneous equations. Wildfire Algebra: Detailed Worksheet using simultaneous equations and solutions  here.

NOW YOU ARE RUNNING UP HILL. WHAT HAPPENS?

We’ll assume, due to being motivated by having a fire licking your heels, that you can run at your top speed up hill for a short time, at least. But here is the problem.

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by fire fighters is:

Each 10º increase in slope, the fire front speed doubles.

mathspig-cfa-diag

mathspig-fire-fighter-table-2

Now you can calculate the distance travelled by the fire front up a slope at a 30º angle.

Don’t forget you can use the WEB 2.0 Calculator here.

mathspig-fire-fighter-table-3

Even at your top running speed, which is unlikely up a slope, you can run 180 m in 1 minute. In that time the forefront has moved 2688 m or 2.7 km.

It depends how far away you are from the fire front, but it seems you cannot out run this fire front.

Again we can do very accurate calculations using simultaneous equations.

See Firefighters Need Maths here.

Wildfire Algebra: Worksheet and solutions here.

CAN YOU OUT RUN A WILD FIRE?

High winds can turn a bush or forrest fire into a WILD FIRE with wind speeds up to 110 kph and temperatures up to 2000 °C, which can and does melt glass and cars.

The fire front speed doubles with every 10º, so speeds for the fire front can reach 220 kph, 330kph and up to 550kph.

20o-angle-mathspig-2

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not out run the fire at that point. So he stopped. Took off his back pack. Took out some MATCHES and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not.

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Smoke Jumpers and their Amazing Wildfire Maths . . . . . . . . . . . . . . USA UNITS

December 5, 2016

 

mathspig-smoke-jumpers 

With wildfires in Texas and now Australia is facing the fire season, it is time to think about fire fighter maths.

mathspig-usa-units-fire-math

 

USA UNITS

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other fire fighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Fire fighters who parachute in to put out small blazes started by lightening are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

HOW FAST CAN YOU RUN?

USA UNITS

Time Trial:

Mark out a 30ft course. Make 3 time trials.

t1 =

t2 =

t3=

Average your time:

tav = (t1 + t2 + t3)/ 3 =

Your Speed S = 30/tav   ft/sec

mathspig-firefirghter-maths-1

HOW FAST IS A GRASS FIRE?

This will, of course,  vary depending on the wind speed. A typical grass fire in Australia in a flat area can travel at 12mph (up to 20mph) in a gentle breeze.

Fire Front Speed Grass Fire

Fire Front Speed = 12 mph = 12 x 5280/(60 x 60)

                           = 17.6 ft/sec

                           = 18 ft/sec

mathspig-firefighter-maths-2

CAN YOU OUT RUN A FIRE?

Average Running Speed Boy 13–14 yo = 10 ft/sec

Average Running Speed Girl 13–14 yo = 8 ft/sec

We’ll assume, boy or girl, that you are really motivated and can run away from the fire at top speed of 10 ft/sec and -Wow! – this is easy math. Now calculate the distance you can run and the fire front moves in 10 secs intervals up to 1 minute.

mathspig-fire-fighter-table-4

This is not looking good. See more Firefighters Need Maths here.

We can do very accurate calculations using simultaneous equations. Wildfire Algebra: Detailed Worksheet using simultaneous equations and solutions  here.

NOW YOU ARE RUNNING UP HILL. WHAT HAPPENS?

mathspig-cfa-diag-usa-units

We’ll assume, due to being motivated by having a fire licking your heels, that you can run at your top speed up hill for a short time, at least. But here is the problem.

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by fire fighters is:

Each 10º increase in slope, the fire front speed doubles.

mathspig-fire-fighter-table-5

Now you can calculate the distance travelled up a slope at a 30º angle.

Don’t forget you can use the WEB 2.0 Calculator here

mathspig-fire-fighter-table-6

Even at your top running speed, which is unlikely up a slope, you can run 1080 ft in 1 minute. In that time the forefront has moved 8640 ft or 1.6 miles. It depends how far away you are from the fire front when you start running, but it seems likely that you cannot out run this fire front.

Again we can do very accurate calculations using simultaneous equations.

See Firefighters Need Maths here.

Wildfire Algebra Worksheet and solutions  here.

CAN YOU OUT RUN A WILD FIRE?

High winds can turn a bush or forrest fire into a WILD FIRE with wind speeds up to 70 mph and temperatures up to 2000 °C, which can and does melt glass and cars.

The fire front speed doubles with every 10º, so speeds for the fire front in a strong wind can reach 140 mph, 210 mph and up to 280 mph.

20o-angle-mathspig-2

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not out run the fire at that point. So he stopped. Took off his back pack. Took out some MATCHES and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not.

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2. Readability Algorithm

November 25, 2015

The above algorithms are called pseudocode because you do not type a letter to a computer to tell it what to do. You have to write code to instruct it.
But computer code, as my little sailor friend would say, uses a shipload of maths.
I am going to give you instructions by writing a letter to you because that is your CODE that you understand.
You are going to calculate the The Flesch–Kincaid reading score for The Hunger Games and a Harry Potter TEXT.
Don’t run screaming out the door. This is not too complicated.
The Flesch–Kincaid reading score or, quaintly, the F–K formula (Oops! Only one – )tells you the grade reading level of a text.
F-K formula
4. Flesch Kincaid Formula
We will use a basic version and a calculator:
5 F-K Formula Basic
You will need:
Word Count =
Sentence Count =
Syllable count =
The Flesch Reading Ease score is interpreted as follows:

6. Flesch Kinaid Readability Table

More info here.

READABILITY is important for Newspapers, books and websites

Text to be read by the general public should aim for a grade level of around 60 – 69 or Grade 8.
YA authors use the F-K formula to see if the text of their novel has the appropriate reading age.
YOU CAN TEST YOUR OWN WRITING! What reading age is your writing?

………………………………………………

 Are your FINANCIAL and LEGAL CONTRACTS READABLE?

You may be able to SUE your BANK!!!!!!!!!

Contracts, by law in the US, should be written to a reading score of Grade 8. According to a recent article in the Telegraph, UK:
Insurance and banking customers who have been mis-sold financial products are more likely to be awarded compensation if they use a scientific test to prove policy documents were too difficult to read.
The “Flesch Kincaid” reading score is well established in the US, where most states require insurers’ policy documents to be written at no higher than a ninth-grade level (14–15 years of age) of reading difficulty.

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Hunger Games And Harry Potter TEXT Readability
Readability Calculations: Method 1
YOU ARE THE COMPUTER.
You will do All calculations.
Readability Calculations: Method 2
You are the algorithm. You will cut and paste text into programs that auto-count words and syllables, collect this and other data from your computer and do the calculations using a calculator or online Web 2 calculator.
Readability Calculations: Method 3:
Cut and paste text directly into a Readability Calculator to get score.

Here are some interesting Readability Scores:

6a Readaility Score USA Constyitution

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How Oops! Try again Maths is killing us …………………………………………………………………………… MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig ….…. with Kerry Cue

September 8, 2015

The New Age of Guess-amatics!

Mathspig pill bottle Hellooooo Sweeties,………………………………………………………………………

Some frightening maths this week. When researching DANGEROUS MATHS, Mathspig found one branch of maths is the most dangerous maths of all. Let’s call it GUESS-AMATICS. Today, maths is often taught via computer program packages. Some of these computer packages turn maths into a guessing game.

1 plus 1

This exact and rather frightening scenario was described to me by the mother of a 5 year old. The mother decided it was time to turn the game off. When students play mathematical computer games too often they don’t have to think, they just guess the answer and try again. But be warned this ‘Oops! Try again’ maths can kill you’! Some maths you cannot ‘try again’. You HAVE to get it right the first time. Medication is one area where ‘Oops! Try again maths kills”

Do the Maths and Do NO HARM.

You need sufficient maths to understand medication doses or you might do yourself harm.…………………………………………………………………………………..

And here is just one very frightening statistic:……………………………………..

According to FDA data 1.3 million people in the USA are injured each year from medication errors. Mathspig First Aid Saves

Meanwhile, we need nurses, caregivers, doctors, paramedics, First Aide volunteers, parents, grandparents, babysitters, teachers and all health care professionals to have sufficient maths to be able to calculate simple medication doses. Or we need them to simply READ the dose and make sure it is correct. Unfortunately, many of those who should be able to work out medication doses are either incapable or not paying attention. And your life could be in their hands:

UK

In the UK 1 in 20 hospital deaths is due to medical error. Nearly 12,000 patients die needlessly in hospital every year due to blunders by staff, researchers warn. Drugs or fluid mismanagement  was identified as a problem in 21% of preventable deaths (NHS   2012) or, doing the maths, 21% of 12,000 is approx 2,500 deaths due to bad maths! Mathspig Do meds do maths

USA

According to a new study just out from the prestigious Journal of Patient Safety, four times as many people die from preventable medical errors than we thought, as many as 440,000 a year. Mathspig Do meds do maths

Canada

Reports show between 9,000 and 24,000 hospital deaths due to medical error. Mathspig Do meds do maths

Australia

Official Australian government reports reveal that preventable medical error in hospitals is responsible for 11% of all deaths in Australia or 1 in 9 deaths.

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Other DANGEROUS MATHS include:

Dangerous Maths 1:Young drunk dead

Dangerous Maths 2: Death by Snake, Spider, Quad bike, Kangaroo, Raccoon and Vomit

Dangerous Maths 3: Shark Attack

Take care and do the maths……………………………………………………

Hoo Roo………………………………………………………………………………

Mathspig

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Dangerous Maths 1:Young drunk dead

August 26, 2015

Mathspig Dangerous Maths

Statistics for alcohol consumption are tricky. Binge drinking gets confused with heavy drinking. If you want to stay young go to the UK. They think anyone under 35 is a youth! Some stats separate Male and Female drinking habits. Some don’t. And legal drinking ages vary. Canada is one crazy place. It has different legal drinking ages in different parts of the country.

Mathspig 1 Canada Legal drinking age

Legal Drinking Age:

Picture 11

Picture 7

The Maths

What we are working on here is reading maths data. No lectures. The numbers speak for themselves. Mathspig 3 Binge Drinking UK girls

Graph source here

The Challenge

Find the following information from data below. Percentage of Year 12 students or 18 year olds who binge drink in each country below.

1. Australia

Mathspig 4 Binge Drinking Aust

Graph Source here.

2. Canada

Mathspig 5 Heavy Drinking Canada Graph

Graph Source here.

3. UK

Mathspig 6 Binge drinking UK 2

Graph Source here

4. USA

Mathspig 7 Binge-Drinking-on-College-Campuses USA 4

Graph source here

Answers- Young drunk dead

Use these % to create a bar graph comparing countries. (Answer below)

Mathspig 8 18 year olds who binge drink

Graph drawn using Create a Graph website

Picture 6

Alcohol related death stats over lap other stats including death involving cars, motorcycles, bicycles, skateboards, jet skis, quad bikes, drowning, diving, stairs, supermarket trolleys and even high heels. Mathspig 2 drunk pics

photo source Daily Mail

Alcohol Related Youth Death Statistics

UK1: 314

Australia2: 260

Canada3: 3,500

USA4: 4,358

  1. 15-34 years for 2011. Source
  1. 15-24 years average 1990-2002 Source
  1. Under 18 years of age. 1996 It is believed that as many as 83 percent of teenagers in Canada consume alcohol. Back in 1996, underage drinking was responsible for 3,500 deaths and 2,000,000 injuries. A 2002 survey found that 20 percent of eight graders had consumed alcohol within the previous month. Source
  1. 4,358 people under age 21 die each year from alcohol-related car crashes, homicides, suicides, alcohol poisoning, and other injuries such as falls, burns, and drowning. Source

Mathspig 9 Youth alcohol related deaths These countries have different populations (See post below). USA population is 15 times Australia’s. 260 x 15 = 3,900. So the Aussie and US stats are in the same ball park even though the stats have been collected for different age ranges. But look at Canada. The USA population is about 9 times Canada’s. 4,358 ÷ 9 = 484 deaths. This  death statistic for Canada is 10 times larger than the USA statistic per head of population. Meanwhile, the population of Canada is 1 1/2 or 1.5 times Australia’s. 260 x 1.5 = 390. Once again, the Canadian statistic is out by a factor of 10. What’s going on here?

The Bar Where You’re Too Afraid to Get Smashed

Mathspig is a party pig. But why does anyone drink themselves senseless? Many reasons, but one is they’re bored. Now here is a bar in Mathspig’s home town, Melbourne, where you better stay sober. Mathspig 10 Trapt Bar ans Escape Rooms Break out of prison in Trapt Bar. You’re in prison, you’re innocent, and no one believes you. You plot an escape with the other prisoners–because unless you break free soon, you’ll all face an unspeakable death (this prison is off the charts). At Trapt Bar and Escape Rooms, you and your teammates have 45 minutes to find clues, solve puzzles and escape before…well…let’s spare you the gruesome details. Picture 10

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Maths Mystery Box 7: PHONES

February 18, 2015

Maths Mystery BOX 7

Middle school maths challenge

Algebra & texting

or  LGbra & txtN

According to a Nielsen Survey the Average US teen sends 3,000 txt messages a month. Averages don’t tell us very much. As this fab post at Maths PLUS explains. The average number of ears on 5 people is 1.8 if one dude has one ear. The Nielsen study did show the averages by gender. Mathspig texting 1 Mathspig texting 2 Mathspig texting 3

This is the maximum cost per txt for pre-paid phone cards. Anyone who sends this many txt messages a month would be crazy if they didn’t use a monthly phone plan.Mathspig texting 4 Mathspig texting 5

HELP ME!

Mathspig texting 6

Some txts are serious. Very serious.

The 24/7 CRISIS TEXT LINE in the USA has helped many teenagers in crisis.

The phone no. in the USA is

741741

the numbers down the Left of the phone.

OR from outside USA add code here. You can find details of the Crisis TEXT LINE in R U There? By Alice Gregory, The New Yorker (9 FEB 2015)

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Ha Ha!

Some txts are NOT serious.

Texting Boredom Mathspig 7

Would you pay for this?

Mathspig texting  8