What are logarithms and why are they useful? Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the swimming pool this summer. Lesson by Steve Kelly, animation by TED-Ed.
This is what the entire universe looks like in one image - The universe is so vast it's almost impossible to picture what it might look like crammed into one field of view. But musician Pablo Carlos Budassi managed to do it by combining logarithmic maps of the universe from Princeton & images from NASA. He created the image below that shows the observable universe in one disc. Our sun & solar system are at the very center of the image, followed by the outer ring of our Milky Way galaxy, the…
"Worksheet with list of functions that precalculus students ought to come to know very very well (y=x, y=x^2, y=x^3, y=x^-1, y=x^1/2, etc). Early in the year, I spend five minutes of class having students fill out as much of the first page as they can and then I collect them (but don't grade them). We repeat this off and on until most people can do the whole page in five minutes. Later, we do the same thing with the second page (trig, log and exponential functions).
Teaching manipulation of expressions and equations before introducing variables