Pick you up from your hotel on your prefered time, and then drive to the Great Wall of China. (60 miles away from downtown, about 1.5 hours driving).
Hiking on the the Great Wall, Mutianyu section or Badaling section, according to your booking detail. The Great Wall is the longest defensive wall in the world. Hike on the wall for about 2 hours. Since the Great Wall has become a national icon of China, whoever come to China would visit it. It is one of the greatest man-made wonders over the world. It was built as an ancient military defense project which was actually worked in the history.
Optional cable car is a good choice if one wants to get to the highest point and take the whole beautiful bird view.
Drive back to your hotel in downtown Beijing.