Hi Tw1nkle
The obvious board game coming to mind is snakes and ladders - that will work on addition of 1 to 6.
However any board game where you're moving forward based on a roll of a die (or dice) covers the same concept.
With snakes and ladders if you want to work on subtraction just play it backwards (so start at 100) and wind your way back down to the start.
With DDs we started by counting back, then gradually getting them used to making that jump in their head (especially for -1 or -2). Take away 3 was a little tricky - may have to do it in two steps at first - so take away 1 then take away 2 (or visa versa) and take away 4 can be thought of as two take away twos.
Tricks for 5-6 - can be lots of 1s or 2s - but about here we really worked on take away 3 in one jump.
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With this - really get them to work on all number bonds (not just sums to 10). So knowing all the ways to make 3, 4, 5, 6, 7, 8, 9 and 10. This will help with both addition and subtraction of one digit numbers - but especially later when adding/ subtracting larger numbers and needing to carry over or borrow.
You can work on this by playing SNAP for all possible sums.
So if you're working on all sums to 6 - go through a deck of cards - keep back 4 Aces, 4 ones, 4 twos, 4 threes, 4 fours, 4 fives and 4 sixes.
Mix the cards. So in this case your target is six and the game is played by flipping over the card and whoever shouts out what you add to it to make six wins the card. So say you flip over 1 - the first to shout 5 wins the card.
You can play this as subtraction - so again say the number you're subtracting from is 6, if you flip the card 4 - the question is 6 - 4 = ? First to shout out 2 wins.
Gradually you can play this by introducing two digit numbers and having all cards (just counting Jack/ Queen/ King as 10).
HTH