The British marched from Boston to Lexington to capture important colonist leaders, but failed when two other colonists warned everyone that the British were coning. So when they eventually made it to concord, local militia defeated them.
State militia in Massachusetts set up on breeds hill, they are ordered to not fire "until you see the whites of their eyes." The colonists still lost because they ran out of ammo, but the British did have many casualties.
On Christmas night, Washington and his troops crossed the Delaware River so they can surprise attack the Hessian soldiers in the morning. They thought that they would be too drunk from that night to fight, and they were correct. The Americans captured over 800 Germans and gained many needed supplies. This was the first major victory for them.
This battle was the turning point for America. British and German soldiers were trying to attack the colonists, but only one army made it. So, the Americans outnumbered them, and eventually, the British surrendered.
After they failed to get Philadelphia back, George Washington and his troops set up camp for the winter. Supplies were running very low and diseases were spreading quickly. Washington found the best way to deal with these diseases was inoculation, and it worked as a great solution. Eventually, Baron Von Stuben came from France to create a training program.
This was the last battle of the war, The Americans and the French surrounded the British on land and on water, giving them no choice but to surrender,