Posts Tagged ‘exponential’

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VAMPIRES: a math horror story

March 6, 2019

You will find TWILIGHT TV series Math here.

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I Can’t Sleep: Caffeine Math Part 3 USA UNITS

August 14, 2018

I Can’t Sleep Math: Caffeine Maths METRIC HERE.

Sensitivity to caffeine varies for individuals, but in healthy adults the half life for caffeine is approx 6hrs meaning your body eliminates half the caffeine you have drunk in 6 hrs. Ref: Caffeine Pharmacology

Caffeine interferes with sleep. One study found that consuming caffeine 6 hours before bedtime reduced total sleep time by 1 hour.

Caffeine content sources Caffeine Content Data Base

Street art by JEKS, South Carolina

The Half life equation is an exponential function.

The Mayo Clinic advises up to 400mg Caffeine a day for adults, which would be;

10 black teas

7 instant coffees

4 cappuccinos

2 dark roast brewed

less than one cup of Black Insomnia Coffee.

Approx half this amount of caffeine for 14 yos.

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I Can’t Sleep: Caffeine Maths Part 3 METRIC

August 14, 2018

I Can’t Sleep: Caffeine Math USA UNITS HERE.

Sensitivity to caffeine varies for individuals, but in healthy adults the half life for caffeine is approx 6hrs meaning your body eliminates half the caffeine you have drunk in 6 hrs. Ref: Caffeine Pharmacology

Caffeine interferes with sleep. One study found that consuming caffeine 6 hours before bedtime reduced total sleep time by 1 hour.

Caffeine content sources Caffeine Content Data Base

Street art by JEKS, South Carolina

The Half life equation is an exponential function.

The Mayo Clinic advises up to 400mg Caffeine a day for adults, which would be;

9 black teas

6 instant coffees

4 cappuccinos

2 dark roast brewed

less than one cup of Black Insomnia Coffee.

Approx half this amount of caffeine for 14 yos.

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3. Funky, Fab and Fantastic. Yeah! That’s Middle School Maths

October 10, 2016

3-funky-fab-and-fantastic

Funky, Fab and Fantastic INTRO

mathspig-at-icme-hamburg-2016Mathspig tried the m&m Algebra Challenge in her ICME 13 Workshop in Hamburg.

BUT … I bought PEANUT m&ms. OH Nooooooooo!

They were the WRONG SHAPE. Deformed m&ms bounced everywhere. All I could do was collect the m&ms in my gloved hands and hand them out to the workshop participants. They seemed to enjoy the failure.

But Mathspig does not give up that easily.

Here is the m&m ALGEBRA CHALLENGE with PLAIN m&ms.

The Great m+m ALGEBRA CHALLENGE

Method:

1. Open a packet of PLAIN m&ms. (Wear white Gloves like the m+ms)

2. TIP onto table. (Put a few books around the edge to define an area.)

3. Sort the m&ms into:

m -UP pile.

m-DOWN pile.

4. REMOVE the m-UP pile.

5. PICK up m-DOWN pile and TIP again.

6. REPEAT until only 1 m+m is left.

The pattern should follow the exponential equation here:

mm-equation

Did it work? Check it out below.

www-gifcreator-me_qjuoel

Who knew one family packet had 366 m+ms?

You’ll find a worked ‘theoretical’ example here.

mm-table

Here’s the ANSWER:

mm-algebra-challenge-answers

Try it. Middle school students have to see

that applying maths in the real world can be tricky but logical.

And a lot of FUN too.

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Double, Double, toil and trouble

August 6, 2013

How long will it take at the current rate for Australia to double its population?

……………………………………………………………………………………………………………………………………..

This population equation came from Cool Math.

…………………………………………………………………………………………

pop equation pic

The current population growth rate for Australia (r) according to the ABS is 1.8%.

……………………………………………………………………………………….

How long for Australia to double its population?

………………………………………………………………………………………

pop calcs Aust