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#32
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#33
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Those unfamiliar with the metric system might find it's far simpler than the imperial system.
What I like about the metric system is the predictable divisions and multiplications to arrive at a final number, just by shifting zeros.
How many millimeters in a centimeter? 10. How many centimetres in a meter? 100. How many inches in a yard? (I bet many can't readily answer). How many Meters in a kilometre? How many centimetres is that? How many millimeters is that? How many feet in a mile? how many inches is that?
Also conversion from lengths to volumes. What is the volume of a litre? 1000 cubic centimetres. What is the volume of a quart? Haven't a clue. How many litres in a cubic metre? 1000.
And weights... How much does a cubic centimetre of water weigh? 1 gram. What is the weight of a litre of water? 1 kilogram. What is the weight of a cubic metre of water? 1000 kilograms - or one metric ton.
How many litres are in 15 metric tonnes of water?
Easy peasy....
What I like about the metric system is the predictable divisions and multiplications to arrive at a final number, just by shifting zeros.
How many millimeters in a centimeter? 10. How many centimetres in a meter? 100. How many inches in a yard? (I bet many can't readily answer). How many Meters in a kilometre? How many centimetres is that? How many millimeters is that? How many feet in a mile? how many inches is that?
Also conversion from lengths to volumes. What is the volume of a litre? 1000 cubic centimetres. What is the volume of a quart? Haven't a clue. How many litres in a cubic metre? 1000.
And weights... How much does a cubic centimetre of water weigh? 1 gram. What is the weight of a litre of water? 1 kilogram. What is the weight of a cubic metre of water? 1000 kilograms - or one metric ton.
How many litres are in 15 metric tonnes of water?
Easy peasy....
Last edited by amideislas; Nov 22nd 2015 at 4:28 am.
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#36
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in the past were pupils required to memorise the square roots of numbers like 5 and 7? I was reading a children's story where those questions came up, and it surprised me somewhat.
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#37
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There was a chart on the wall and as each one was done a tick went in that column alongside the child's name.
The 240 pennies, 20/- to a pound etc was memorised, as was a third of a pound. 6s and 8d.
Prime numbers were memorised too.
Bizarrely I changed schools at xmas in the last year at Primary and the new one didn't do such things. Nobody knew what a third of a pound was without calculating it. This new school worked with 'scratch' pens (dipped in ink) whereas we used biros at the previous one.
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What's the point thought? They go on forever - probably containing the enitre works of shakespeare in their digits.
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#39
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I can do addition, substraction and other basics easily, but more complicated math I need paper, and can figure most things out for + - division and multiplication.
Percents, fractions, algebra and such, haven't a clue for most.
Calculators were never allowed in school, so while they were available in my school days they were not used or permitted in class.
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#40
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The handwriting is atrocious but the first equation is the relativistic Doppler Redshift, then a re-formulation of Newtons F=ma in the relativistic frame and at last leads to the famous Einstein equation E=mc^2.
Simple stuff (in hindsight) that I taught to undergraduates only a year ago.It was published 100+ years ago so I'm surprised you haven't come across it before.
The later version develops the General Theory with the result E^2 = m^2c^4 + p^2c^2 where p is the momentum.
Simple stuff (in hindsight) that I taught to undergraduates only a year ago.It was published 100+ years ago so I'm surprised you haven't come across it before.
The later version develops the General Theory with the result E^2 = m^2c^4 + p^2c^2 where p is the momentum.
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#41
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The handwriting is atrocious but the first equation is the relativistic Doppler Redshift, then a re-formulation of Newtons F=ma in the relativistic frame and at last leads to the famous Einstein equation E=mc^2.
Simple stuff (in hindsight) that I taught to undergraduates only a year ago.It was published 100+ years ago so I'm surprised you haven't come across it before.
The later version develops the General Theory with the result E^2 = m^2c^4 + p^2c^2 where p is the momentum.
Simple stuff (in hindsight) that I taught to undergraduates only a year ago.It was published 100+ years ago so I'm surprised you haven't come across it before.
The later version develops the General Theory with the result E^2 = m^2c^4 + p^2c^2 where p is the momentum.
But my handwriting was pretty good.
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#42
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I wasn't advocating it, I was just asking some of the more seasoned posters whether that used to be part of the curriculum (in the days before electronic calculators).
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I suspect I was also one of the last school cohorts to be formally taught how to use a slide rule. I don't think I ever used it in anger, but can still more or less remember how to do multiplication and division on a slide rule. We almost certainly didn't need to know for the 1970s curriculum, but my maths teacher presumably thought electronic calculators were a passing fad and we ought to have a fall-back option... Having to do a mental estimation so you know if the answer "looks right" fell out of fashion with the rise of calculators - I'm really happy to see the Ontario elementary curriculum spends quite a bit of time on estimation and mental arithmetic in Grades 4 and 5.
As for Fahrenheit to and from Celcius, rather than messing around with awkward decimals, I find it easier in my head to use vulgar fractions - multiply by 9 and divide by 5 and add 32, or the reverse. Certainly for values within a dozen degrees or so of freezing this makes the mental arithmetic easier. For warmer temps I tend to go upwards or downwards from two convenient and easy to remember fixed conversions - 16C is about 61F, and 28C is about 82F. Just reverse the digits... And if it's really cold the other helpful conversion is the crossover point at -40.
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