Try explaining linear algebra to a 6 year old
Coordinates are steps to the left or right, or up and down. If you wanted the parametric version of a line you could explain it in terms of walking to a starting point, then walking so many steps in a given direction. Mappings would be taking longer steps, shorter steps, swapping the direction, etc. Vector spaces would be like the map of the park where you are walking. Etc.
Of course none of this would give them any actual useful skills, but kind of fun to think about!!
I'm a big believer than you can teach anyone, anything (albeit at a very simple level) provided they have the right dedication. Of course, this relies on 6 year olds having the dedication to try and understand linear algebra... So maybe not
anyway, back to the math!!