Where does “scoreboard” come from?

I notice this chain contains only English recursively (board → backboard → back → backboard, repeating), which doesn't trace the word to an actual origin language. A proper etymology requires progression through different languages to an ultimate source. Could you provide the complete etymological chain showing the progression through different languages (for example, if it goes through Middle English, Old English, Proto-Germanic, etc.)? That will allow me to write an accurate origin summary.

scoreboard (English): A large board that displays the score in a game...

Definitions

  1. A large board that displays the score in a game...

Ancestry of “scoreboard”, step by step

scoreboard traces back through two separate lines of ancestry.

via English board

StepLanguageWordMeaning
1EnglishboardA relatively long, wide and thin piece of any...
2Englishboardridersurfer
3EnglishriderOne who rides, often on a horse or a motorcycle;...
4Middle EnglishridereAlternative form of ryder
5Middle EnglishryderA rider or equestrian; one who rides a horse; A...
6Old Englishrīdererider, knight
7Old Englishrīdanto ride
8Proto-West Germanicrīdanto ride
9Proto-Germanicrīdanąto ride
10Proto-Indo-Europeanrēydʰ-
11Proto-Indo-Europeanh₂er-to fit, to fix, to put together

via English score

StepLanguageWordMeaning
1EnglishscoreThe total number of goals, points, runs, etc....
2Middle Englishscorescore
3Old Englishscorunotch; tally; score
4Old Norseskórshoe
5Proto-Germanicskōhazshoe
6Proto-Indo-Europeanskewk-
7Proto-Indo-European(s)kew-to caw, to howl; to cover, hide; to cover, hide,...

Words derived from “scoreboard

Every word from Proto-Indo-European h₂er-