Posts Tagged ‘exponential’
February 20, 2024
You have 2 parents, 4 grandparents, 8 great grandparents, ETC, ETC
The no. of ancestors you have per generation follows an EXPONENTIAL FUNCTION:
Here are the numbers going back 50 generations or 1,000 years.
When you plot YOUR NO. ANCESTORS over a POPULATION OF THE WORLD GRAPH there is a problem.
Population of the World DATA HERE
If you look at the graph (above) you will see that the No. YOUR ANCESTORS equalled the POPULATION OF THE WORLD about 500 years or 25 Generations ago.
You are related to everyone who was alive 500 years ago. Some of your ancestors inlcude:
Of course, EVERYONE else has these ancestors too.
If you go back 50 generations you have more ANCESTORS than the entire POPULATION OF THE WORLD.
Why?
Anthropologists say that there was a lot of IN BREEDING especially when humans lived in small tribes and the world population was small.
So way back every one of our family trees has members popping up all over the place. So we had far fewer ancestors than the math suggests.
Posted in Exponential Functions, Middle School, Real Life Math | Tagged ancestor, curve, equation, exponential, generations, Graph, Maths, Middle school, no. of ancestors, population, Problem, real life, Shakespeare | Leave a Comment »
November 13, 2021
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.
Posted in Caffeine Math, Decimals, Exponential Functions, graphs, Senior School, units weight, Year 12 mathspig | Tagged back to school, caffeine, coffee, cups, de[rivation, equation, exponential, function, Graph, intake, levels, Math %, recommened, sleep, tea | Leave a Comment »
November 13, 2021
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.
Posted in Caffeine Math, Exponential Functions, graphs, Year 12 mathspig | Tagged back to school, caffeine, coffee, cups, de[rivation, equation, exponential, function, Graph, intake, levels, Math %, recommened, sleep, tea | Leave a Comment »
March 6, 2019
You will find TWILIGHT TV series Math here.
Posted in algebra, Exponential Functions, Hollywood Maths, Middle School, Senior School, TV SHOW Maths, Vampire Maths | Tagged algebra, challenge, exponential, function, horror, Math, Maths, Middle school, scary, simple, story, TV, Twilight, vampire | 2 Comments »
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.
Posted in Caffeine Math, Decimals, Exponential Functions, graphs, Senior School, units weight, Year 12 mathspig | Tagged back to school, caffeine, coffee, cups, de[rivation, equation, exponential, function, Graph, intake, levels, Math, recommened, sleep, tea | 3 Comments »
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.
Posted in Caffeine Math, Exponential Functions, graphs, Year 12 mathspig | Tagged back to school, caffeine, coffee, cups, de[rivation, equation, exponential, function, Graph, intake, levels, Math, recommened, sleep, tea | 2 Comments »
October 10, 2016
Mathspig 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:
Did it work? Check it out below.
Who knew one family packet had 366 m+ms?
You’ll find a worked ‘theoretical’ example here.
Here’s the ANSWER:
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.
Posted in 10 Funky Fab and Fabulous Middle School Maths ideas, Middle School, Senior School, Year 7 mathspig, Year 9 Mathspig | Tagged algebra, challenge, crazy, demonstration, exercise, exponential, fantastic, Fun, function, funky, ICME 13, m&m, Math, Middle school, powers | 1 Comment »
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.
…………………………………………………………………………………………
The current population growth rate for Australia (r) according to the ABS is 1.8%.
……………………………………………………………………………………….
How long for Australia to double its population?
………………………………………………………………………………………
Posted in Uncategorized | Tagged 23 million, 38 years, Australia, australian Bureau of statistics, double, exponential, growth, Math %, Middle School Math, population, population equation, population maths, rate, rate of growth | Leave a Comment »
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