Describe the Battle of Bunker Hill and explain why the battle was important for the colonist?

The battle of bunker hill resulted in a loss for the colonial army, but they considered it a win, since the British lost so many troops taking just one hill, Paul Henry said " I wish we could sell them another hill for the same price". The British charged at the colonial's fort that was atop bunker hill right outside of Boston, and resulted in a lot of casualties for the British, but the colonial army lost the battle.