I just feel like the figure on the right should have each unit be the same length. Why should four be denoted with a shorter length?
ParabolicMotion
My ex used to play guitar and he swore the only earplugs that were worth buying were Hearos earplugs. I tried them once. They’re really good. The only thing that compares are gun range ear muffs.
Celebrities? When was the last time politicians served jury duty? When was the last time they were even summoned?
If I were Joe Biden, I would have just released a statement saying that America and its military are refusing to become involved, outside of providing relief aid to victims. I would have refused to send arms to either side, and refused to say anything more to the media.
So he is going to deport Jill Stein? Where is he going to send her?
That’s it. We’ll all be living off of Annie’s Cheddar Bunnies and Amy’s Organic Bean and “Cheese” Vegan freezer burritos soon! First the cows were affected, now the chickens. Good luck grocery shopping!
Every time I see his face it’s like a cross between Jim Parsons and Marshall Mathers.
Until about a day later when you realize it had absolutely no fiber and you should have paired it with a salad, or something, instead of eating just cheese.
I get that. I like the number line approach, and respect it, but I have also observed seasoned math coaches fumble the visual explanation of a division by fractions problem where the numerators and denominations were relatively prime. As soon as the guy had drawn the first fraction and began to say, “we’d multiply by the recipro-…”, I could tell it was going to be long problem. He just stood there, and then asked, “well, how would I go about explaining the ‘keep change flip’, if you will?” He ended the problem by saying he might just explain that the distance drawn for the first fraction needs to be repeated on the other side of the fraction to show the multiplication by the denominator of the second fraction, and then that distance could be broken into parts to demonstrate the division by the previous numerator of the second fraction.
Basically he ended the problem by saying, “let’s just reflect it! Then we can break it up.” There wasn’t really a sound justification for the reflection piece of the process, other than saying, “we need to multiply by the reciprocal of the second fraction, so we’ll just have to multiply by its denominator it had, prior to flipping it.”
That was the quietest meeting I have ever seen amongst that group of adults.
It’s going to be okay:
Edited to add this: Singapore math insists however, that we eliminate the use of visuals in describing arithmetic within the rationals. They encourage that users of common core rely upon the number line, and solely the number line for thorough and most mathematically sound representations of arithmetic, even when involving the division of fractions.
For those not up to speed to with common core, remember how the teacher used to draw a diagram of a bunny hopping from one integer to the next integer to represent adding given integers, such as 4+3, or -2+1? Imagine that representation being used with problems like 1/7 divided by 5/49, and no decimal approximation is allowed. It’s fascinating and truly something to appreciate from the standpoint of someone who truly loves mathematics. I think it makes for great discussions amongst math graduates like myself, and other math enthusiasts. What does that mean for those who are not so enthused? Sometimes it means the teacher receives death threats from angry students. You can’t make everyone happy.
True. I was going to give benefit of the doubt and assume that the creator was counting half of one of the segments, of which it overlaps, as part of that unit. Someone mentioned that the diagram is not actually the correct representation of the number five, anyway. Someone in this comment section said that it means, “correct”. They stated that an entirely different figure (not displayed in this post) actually represents 5.