This is a very different arrangement and not exactly the same as the one on the song,
but it's kind of okay to get to sing on to. Pardon me though, first time to do chords. :)

Capo 5 (or to where your voice fits)

-Intro- (probably do a bit of plucking on this)
G D G D

-Verse 1-
G             D                    Em       Em C G
  When I came down the dawn poured into me
           D                  Em        Em C G
I shook'em up, the walls came crumbling
              D                    Em            Em C G
My fists kept trembling with these salty wounds
          D               Em             Em C G
My stolen gold inside the emperor's tomb

             D              Em         Em C G
Now painting rainbows on my ugly face
             D                 Em               Em C G
I built this cardboard neighborhood's disgrace
      D                   Em             Em C G
But I ascend and serve my feverish need
           D                Em         Em C G
Within the confines of such chemistry

-Prechorus 1-
G
  It's the way I see
D
  Everything I need
E
  It's no way to be

-Chorus-
G                D
  Let this be our little secret
Em              C
No one needs to know we're feeling
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)
G                      D
But I feel alive and I feel it in me
Em          C
Up and up I keep on climbing
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)

G D Em C
G D Em Em C G

             D            Em           Em C G
My face blew up at such a casual sight
              D            Em           Em C G
The smattered colors of ecstatic fright
              D            Em     Em C G
They'll rush above me to oblivion
             D            Em           Em C G
Outlining wet sidewalks with halogen

            D            Em             Em C G 
Oh have you ever felt so goddamn strong
            D                 Em           Em C G 
How come it takes some people so damn long
            D                 Em            Em C G 
He tried to squeeze the lemon juice to rain
           D               Em             Em C G 
The citrus drawing out the season's stains

-Prechorus 2-
G
  Watch the basin drain
D  
  As your life lines wane
Em
  And you can't explain
C
  As your friends complain
G  
  You've caused all this pain
D  
  And you proudly shame
Em  
  Your whole family's name

-Chorus-
G                D
  Let this be our little secret
Em              C
No one needs to know we're feeling
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)
G                      D
But I feel alive and I feel it in me
Em          C
Up and up I keep on climbing
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)

G            D                     Em
Mother I can tell what you've been thinking
C                G              D
  Staring at the stars on your ceiling
         Em               C                   G
Thinking once there was a power that you were wielding
    D                Em
And now I've hit the mark
C              G         
Staring at the dark
             D          Em              C             G
And I cannot help but ignore the people staring at my scars

-Chorus-
G                D
  Let this be our little secret
Em              C
No one needs to know we're feeling
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)
G                      D
But I feel alive and I feel it in me
Em          C
Up and up I keep on climbing
G           D
(Higher and higher and higher)
Em          C
(Higher and higher and higher)