Archive for the ‘Inverse Functions’ Category

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9. A single match or candle will light a room the size of a football stadium.

May 4, 2023

 

This is the rework of a previous post.

Action heroes such as Indiana Jones or even film kids like Tom Sawyer or The Goonies who go into a cave, anabandoned house, a crypt or a catacomb light the entire place with one match, one candle, a lighter or a cellphoneIndiana jones 1tm sawyer.

Is this real?

 

Now mathspigs, if you are interested in a career in stage/film lighting or even architecture you will need this maths.light globe_tns

 

60Watt light globe tells us how much power it uses. But some 60W globes are brighter than others. Light is measured with weird units.

candle_tnsUSA uses Foot-candles. Can you imagine the pickup line ‘You brighten up my world like a footcandle’? A foot-candle is the brightness of a candle 1 foot away. Now think of a bubble around the candle. Brightness is mostly measured using one square foot or one square metre of that bubble:

1 LUMEN = 1 Footcandle/ft squared

1 LUX = 1 footcandle/m squared

Don’t get too hassled by these units.  As a rough rule:

1 candle = 1 LUX

candle 1 Correction

candle 2 Correction

candle 3 Correction

From graph you can see by 3m a Birthday Cake is not very bright even in a haunted house or crypt.

Challenge: Draw a graph of the brightness of your own Birthday Cake!

Big Challenge:Draw a graph of your Teacher’s Birthday Cake!!!!!! Ahhhh!!!!

We know:

1 candle = 1 LUX

Now compare the brightness of 1 candle to the brightness of other sources of light:

If you want sufficient light to live your everyday life you’d need:

80 candles just to go to the toilet!!!!!!

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Real World Maths: Powers and the LOUDEST Rock Band in the world

October 22, 2020


Hellooo mathpiggies, I said HELLOOO MATHSPIGGIES.

Who has been to a rock concert recently? Like, NO ONE!

Studies show, however, that adolescents often suffer temporary (sometimes permanent) hearing loss after going to a 3 hr rock concert in rows up to 18 away from the stage.

teen beat box

Rock Concerts Cause Temporary Hearing Loss in Teens


Deep Purple: The Loudest Rock Band Ever

Lime Cordiale, a popular band in Australia

Find dB answers here.

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9. A single match or candle will light a room the size of a football stadium.

November 21, 2018

 

This is the rework of a previous post.

Action heroes such as Indiana Jones or even film kids like Tom Sawyer or The Goonies who go into a cave, anabandoned house, a crypt or a catacomb light the entire place with one match, one candle, a lighter or a cellphoneIndiana jones 1tm sawyer.

Is this real?

 

Now mathspigs, if you are interested in a career in stage/film lighting or even architecture you will need this maths.light globe_tns

 

60Watt light globe tells us how much power it uses. But some 60W globes are brighter than others. Light is measured with weird units.

candle_tnsUSA uses Foot-candles. Can you imagine the pickup line ‘You brighten up my world like a footcandle’? A foot-candle is the brightness of a candle 1 foot away. Now think of a bubble around the candle. Brightness is mostly measured using one square foot or one square metre of that bubble:

1 LUMEN = 1 Footcandle/ft squared

1 LUX = 1 footcandle/m squared

Don’t get too hassled by these units.  As a rough rule:

1 candle = 1 LUX

candle 1 Correction

candle 2 Correction

candle 3 Correction

From graph you can see by 3m a Birthday Cake is not very bright even in a haunted house or crypt.

Challenge: Draw a graph of the brightness of your own Birthday Cake!

Big Challenge:Draw a graph of your Teacher’s Birthday Cake!!!!!! Ahhhh!!!!

We know:

1 candle = 1 LUX

Now compare the brightness of 1 candle to the brightness of other sources of light:

If you want sufficient light to live your everyday life you’d need:

80 candles just to go to the toilet!!!!!!

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Popular Culture and MEAN GIRLS Maths

November 15, 2013

Lindsay Lohan may not be seen as the pin-up girl for Maths.

Yet her character Cady in the Mean Girls TV Series, not only does ‘math’ in 12th grade, she joins the the maths geeks as a mathlete and adds the term ‘The Limit does not exist’ to pop culture.

Her teacher is Mrs Norbury (Tina Frey).

Here is the good:

………………………………………………………………………………………..

Here is the bad:

Do girls still do this? Pretend they are dumb to impress a boy?

FYI Aaron!!!!!!!!!

n factorial = n! = 1x2x3x4x5x6x7x8x9x10 ………………………

………………………………………………………………..

Here is the Whoa! This is real maths … on the tellie:

And here is the maths from openstudy that Cady did in her head while thinking about not calling people stupid or fat:

The limit doesn't Exist  openstudy.com

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Deaf Metal

February 18, 2013

Hellooo mathpiggies, I said HELLOOO MATHSPIGGIES.

Who has been to a rock concert recently? Studies show that adolescents often suffer temporary (sometimes permanent) hearing loss after going to a 3 hr rock concert in rows up to 18 away from the stage.

teen beat box

Rock Concerts Cause Temporary Hearing Loss in Teens

rock concert noise

Specifically, 53.6 percent of the teens said they were not hearing as well as they did before the concert, and 25 percent reported tinnitus, which is ringing in the ears.


You’ll find everything you want to know at the Physics Classroom:

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12 minute Maths Guru

July 4, 2011

Meet Salman Khan. He has put free maths on-line.

This article on Salman appeared in The Sunday Times, UK, 12 JUN 2011.

Salman, 28, started putting tutes online for his 12-year-old niece, Nadia, and things grew. So far the Kahn Academy’s claim to fame are:

* Over 2,400 videos including hundreds and hundreds of 12-minute 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. Low-key

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.

.

.

.

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Salman gives digital chalk-and-talk 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 do-able.

Go, Salman.

Mathspig thinks you are just GORGEOUS!!!!!!!!!

 Australia’s Year 7 – 12 Maths Curriculum is already on-line 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:


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9. A single match or candle will light a room the size of a football stadium.

November 16, 2009

Indiana jones 1Action heroes such as Indiana Jones or even a film kid like Tom Sawyer who go into a cave, an abandoned house, a crypt or a catacomb light the entire place with one match or one candle. Is this real?tm sawyer

Now mathspigs, if you are interested in a career in stage/film lighting or even architecture you will need this maths.

light globe_tns60Watt light globe tells us how much power it uses. But some 60W globes are brighter than others. Light is measured with weird units.

candle_tnsUSA uses Foot-candles. Can you imagine the pickup line ‘You brighten up my world like a footcandle’? A foot-candle is the brightness of a candle 1 foot away. Now think of a bubble around the candle. Brightness is mostly measured using one square foot or one square metre of that bubble:

1 LUMEN = 1 Footcandle/ft squared

1 LUX = 1 footcandle/m squared

Don’t get too hassled by these units.  As a rough rule:

1 candle = 1 LUX

candle 1  Correction

candle 2 Correction 

candle 3 Correction

From graph you can see by 3m a Birthday Cake is not very bright even in a haunted house or crypt.

Challenge: Draw a graph of the brightness of your own Birthday Cake!

Big Challenge:Draw a graph of your Teacher’s Birthday Cake!!!!!! Ahhhh!!!!

We know:

1 candle = 1 LUX

Now compare the brightness of 1 candle to the brightness of other sources of light:

Family Living Room = 50 LUX

Toilet = 80 LUX

Office = 320 – 500 LUX

Indoor lighting Range = 50 – 1,000 LUX

Outdoor moderate sun = 32,000 LUX

Outdoor FULL SUN = 130,000 LUX

If you want sufficient light to live your everyday life you’d need 80 candles just to go to the toilet!!!!!!