Okay, honestly? It doesn't really make sense to me, BUT... your options are:
No dining plan
Dining plan for only the one night you're staying at the value resort
Dining plan for only the four nights you're staying at DVC (this is where I got confused - first you stated one value night and four DVC nights, but later in your post you mention five value nights
)
Dining plan for the one night in the value resort AND dining plan for the four nights in the DVC resort
Note that ALL dining plan credits expire at midnight on the day you check out of the specific resort. So say you check into Pop with the dining plan on Saturday and check out Sunday; all those credits expire Sunday at midnight. Then you check into the DVC resort Sunday and check out Thursday, again wiht the dining plan;
those credits are valid and available from the moment you check in on Sunday until midnight on Thursday. You can't carry over credits from one reservation to the other, except for the day you change resorts. Two things you might want to do: crunch numbers - there are menus with pricing at allearsnet.com - to see if the dining plan works for
you; and since you don't plan to eat onsite at Disney every meal, maybe double up some of your table service credits for a Signature Restaurant meal or a show like Hoop-De-Doo or the luau.