Harvard has made available a free course on Chinese history as a MOOC (Massively Open Online Course). It's called "ChinaX". This would be a nice complement to your Rocket Chinese studies.
This epic course is breathtaking in it's scope, thoroughness, and quality. Content is metered out in mutimedia (usually videos) of 5-10 minutes each. Fun exercises like singing the major dynasties to the tune of Frère Jacques or discussing how an ancient statesmen defined the essence of Han Chinese are open to all. Good reviews on content by New York Times and others. Over 30,000 people have enrolled so far.
See the link below for more details:
Here's summary from course page:
China's past, present, and future: through history and geography, economy and ecology, philosophies and politics, literature and art.
About this Course
Modern China presents a dual image: a society transforming itself through economic development and infrastructure investment that aspires to global leadership; and the world's largest and oldest bureaucratic state, with multiple traditions in its cultural, economic, and political life. The modern society and state that is emerging in China will bear the indelible imprint of China's historical experience, of its patterns of philosophy and religion, and of its social and political thought and practice. Understanding China in the 21st century is inseparable from understanding China’s history as a great world civilization.
Before your course starts, try the new edX Demo where you can explore the fun, interactive learning environment and virtual labs. Learn more.