Describe a card game or a board game you could develop that relates the periodic table to
valence electrons.

Uno.

Explanation:

You can play Uno with self made element cards. You can knock out other elements or make new compounds with this game.

metals are good conductor of electricity. it has free electrons on their surface. according to electron pool theory, each atom present in a metal crystal losses all of its valence electron and as a result a pool of free is form. these pool of electrons are free to move and   conduct electricity easily   while making metal as good conductor.

the correct answer is a. the ability of electrons to flow throughout the metal.

if it's not useful, feel free to report for mistake in answer.