master, HEAD, origin/something and maybe some tag, why not, may all point to the same commit, but they are most definitely not the same thing.
origin is usually the name of a remote repository.
You can see your remotes and configure new ones with git remote -v.
Try it (with -v) and it will probably make sense.
remote/somebranch points to the head of some branch on a remote repository.
origin/master points to the head of master on origin.
Is it the same as master?
Yes and no. If you pull your master branch, do some work and in the meantime somebody else commits on master and pushes to origin, they will differ.
When you do a git fetch origin, then, origin/master will have additional commits (will be ahead).
HEAD is simply "the current commit". 
Think of it as ..
See this question
Again, this could be the same as master, but if you check out another branch or commit or are in the middle of a rebase, well, it's not.
So try this on a fresh repository on which nobody else is working:
$ git checkout master
$ git log -1 --format="%H" HEAD
123abc
$ git log -1 --format="%H" origin/master
123abc
They are the same!
$ git diff origin/master
Of course their content is the same.
$ echo "foo" > foo
$ git add foo
$ git commit -m "Foo the thingy"
$ git log -1 --format="%H" HEAD
321bca
$ git log -1 --format="%H" origin/master
123abc
Ah, look, now they're different commits!
$ git push origin master
$ git log -1 --format="%H" HEAD
321bca
$ git log -1 --format="%H" origin/master
321bca
And now they aren't! we have pushed our latest commit and they both point to the same.
$ git checkout -b newbranch
$ echo "baz" > baz
$ git add baz
$ git commit -m "Baz the thingy with the stuff"
$ git branch -a
  master
* new_branch
  origin/master
$ git log -1 --format="%H"
789def
$ git log -1 --format="%H" master
321bca
git log -1 --format="%H" origin/master
321bca
git log -1 --format="%H" origin/new_branch
unknown revision or path not in the working tree.
Of course not. We haven't pushed new_branch to origin, it is only on our local machine
git checkout 123abc
We have just checked out 123abc, the old head of master. It is not the head of any branch, now, but we can check it out just the same.
Note: checking out 123abc. You are in 'detached HEAD' state, etc
$ git checkout -b old_master
$ git branch -a
  master
* new_branch
  origin/master
  old_master
Now guess what their SHA1 will respectively be?