Any recommendations (attractions) for 5 days in Beijing in early September?

Five days are enough to cover the main attrations of the city. Hereunder is a 5-day trip for your reference:
Day 01: Tiananmen Square, Forbidden City, Jingshan Park
Day 02: Badaling Great Wall or Mutianyu Great Wall.
Day 03: Beijing Zoo, Summer Palace, Wangfujing
Day 04: Temple of Heaven, Qianmen Street, Dashilar Street
Day 05: Yonghe Lamasery, Imperial Academy, Confucius Temple and old Hutongs.