Let Me TEACH YOU Ratios, Rates and Proportions…step-by-step!
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- เผยแพร่เมื่อ 20 ก.ย. 2024
- Rates, ratios and proportions - a math review. Learn more math at TCMathAcademy.....
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It is bizarre enough that somebody decided we need a special name for an equation that sets one fraction equal to another. But it is utterly mind blowing that whoever that idiot was decided to use a word that ALREADY MEANS SOMETHING ELSE!!!
And not just a word that already means something else, but a word that already means something else IN THIS VERY AREA OF MATHEMATICS!!!
The entire point about the terms "ratio" and "proportion" is the distinction between relating one part to the other part vs relating one part to the whole. So using the cars example from the start of the video, the ratio of large cars to small cars in the parking lot is 3/10 and the proportion of large cars in the parking lot is 3/13.
That's a nice, sensible, meaningful use of "ratio" and "proportion". That's what this video SHOULD have been about. But some galaxy brain somewhere has decided to repurpose the word "proportion" for something completely unnecessary and pointless, and now we can't use it for what it actually means any more.
The stupidest part of all this is that you can take ANY equation LHS = RHS and rewrite it as LHS/1 = RHS/1. So in effect, every single equation in the entire history, the entire now, and the entire future of mathematics is, by this ludicrous definition, a "proportion"!
thanks for the refresher
Cool lessons
❤ thanks for the video
Still not clear... What'd be 10 clouds / 3 words? They're not the same but are not units of measure. And 10 kg / 3 lb or 3 weeks / 1 sec? They're different units for the same measurable property.
Yeah, I don't think he's really explained what a rate is properly.
A rate is about something changing or something happening. The car is travelling 60 miles every hour. The pump is delivering 20 gallons every 5 minutes.
And a rate does not need to have different units of measure. It's a bit of a contrived example, but imagine you go out for a drive. You haven't decided where you'll turn around, but you have decided that when you do, you will drive back home via exactly the same route in reverse, so the outbound part of the drive and the return part of the drive will cover the same distance.
If you turn around after 5 miles then the total journey will be 10 miles. If you turn around after 6 miles then total journey will be 12 miles. Turn around after 7 and the total is 14.
During the outbound part of your journey, it would be perfectly correct to say that your eventual total journey length is increasing at a rate of 2 miles per outbound mile travelled. It's a rate, and it has the same unit of measure (that is, distance) in the numerator and the denominator.
Cool lessons