These spots may take you 2 days at least, one day in Beijing City and one day in the Great Wall. If you would like to do more sightseeing in Beijing, you can choose more places, here we recommended more classical Beijing tours for you:
4 Days Best of Beijing Tour
Attractions: Tian'anmen Square, the Forbidden City, Temple of Heaven, Mutianyu Great Wall, Summer Palace
5 Days Beijing Olympic Sites Tour
Attractions: Tian'anmen Square, the Forbidden City, Temple of Heaven, Mutianyu Great Wall, Olympic Stadiums, Summer Palace
5 Days Beijing Experience Tour
Attractions: Tian'anmen Square, the Forbidden City, Temple of Heaven, Badaling Great Wall, Summer Palace, Hutong
6 Days Beijing and Tianjin Tour
Attractions: Tian'anmen Square, Forbidden City, Temple of Heaven, Badaling Great Wall, Ming Tomb, Huangyaguan Great Wall
More Classic Beijing Tours can be found here.