Usage of the phrasal verb 'write'

[Englishnow]

I looked them up in a dictionary.

write away for something phrasal verb
to write a letter to a company or organization asking them to send you goods or information:
I've written away for their free catalog.

write off phrasal verb
to write a letter to a company or organization asking them to send you goods or information [= send off, write away]
write off for
Are you going to write off for that free poster?

That's so complicated because I don't know how to learn phrasal verbs on this level. It means that on this occasion OFF and AWAY are synonyms, and this doesn't make sense to me at all. Why not only write for ? How is it possible that write OFF FOR and AWAY FOR mean exactly the same thing ?

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write something ↔ up phrasal verb
1 to write a report, article etc using notes that you made earlier:
I have to write up my report before the meeting.
2 to write something on a wall, board etc where people can see it:
The teacher repeated the word, and then wrote it up on the blackboard.

The first one I understand, or I think it makes a little more sense, but the second one, does UP mean only space(high) in here ? Could I say that I wrote it down on the floor ?

Thanks in advance.

[Mister Micawber]

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The first thing you must do is stop demanding sense of phrasal verbs. As with idioms, the adverbs or other particles in a phrasal verb often retain little of their basic meanings.

Just as in your language, English can communicate the same thing in different words. I can write off or write away for a catalog or catalogue with equal success.

Please tell me how the 'write up' of 'write up a report' makes more sense to you than 'write up' of 'write up a word on the blackboard'. Of course, you can also write down the report, and write down the word on the floorboards if you like.
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Native English teacher at Mister Micawber's

[Englishnow]

I try to see any association because I always(really) forget some phrasal verbs, some of them you know because the english language is your culture, but I am poorly learning through dictionaries and so on. It's so hard but I'm persevering so much.

UP and DOWN: I know I can't do that, but some phrasal verbs I try to understand just by considering the SPACE(high), something like that: Today I climbed up to the hill and after I climbed down and went home. I saw people rolling down to the mountain as I was going up to the top.

WRITE OFF FOR and WRITE AWAY FOR: Isn't there any slight emphasis using away or off ? Is it all the same thing ? Isn't there any situation that you prefer to use OFF rather than AWAY to express that meaning ?

[Mister Micawber]

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Then how do you associate 'write up the report'?

I see no real difference between 'off' and 'away' here. Native speakers probably have their own idiolectic or regional dialectical choices.
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Native English teacher at Mister Micawber's

[Englishnow]

Write up = Rewrite a note, but neat and arranged. I don't know, I just try to think of a way not to forget.

That's all. I'm sorry for anything.

[Mister Micawber]

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No problem; I am just interested in how you associate 'up' with the meaning of 'write up'. You started this thread by complaining that although this phrasal makes sense, you could not understand the 'up' of 'write up on the blackboard.
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Native English teacher at Mister Micawber's

[Englishnow]

I didn't get it across.

The first question I said that AWAY FOR/OFF FOR didn't make sense to me at all, and I asked you if there was any slight difference, you answered no, then it's ok.

The second, write up, I think it makes sense just because it was not hard to learn by heart, then it's ok too.

But I was trying to see any spatial relation between up as in" wrote it up on the blackboard" and up as in "wrote it down on the floorboard", and I'm not sure about that yet.

If I find that it's a little harder to accept it as it is, then I try to associate it not to forget, and the phrase "Today I climbed up to the hill and after I climbed down and went home. I saw people rolling down to the mountain as I was going up to the top." is an example of uncertainty that I have been facing for a long time, either If I'm sure thinking like that, or If I'm commiting a big mistake.

[Mister Micawber]

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No, your thinking is fine when such adverbs keep their physical meanings ('put up' some pickles, etc). And if you can learn the non-physical phrasals by heart ('put up' with someone), then that is good.
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Native English teacher at Mister Micawber's

[Englishnow]

Thanks Mister Micawber.