The battle of long island is known as the first significant battle of the revolutionary war.

The Battle of Long Island is also known as the Battle of Brooklyn and the Battle of Brooklyn Heights. It was fought on August 27, 1776 and was the first major battle of the American Revolutionary War to take place after the United States declared its independence on July 4, 1776.

So in answer yo your question yes that is true.

It is also known as the battle of Brooklyn heights