American Revolution War Battles, Andrew Allison, Block 3 By KingAra Apr 19, 1775 Lexington and Concord The first military engagements of the revolutionary war May 10, 1775 Fort Ticonderoga Ticonderoga and Crown Point captured by New England military. Jun 17, 1775 Bunker Hill There was three individual battles, on the third battle, the defenders ran out of ammunition.