In Chinese, 星期 (week) is used to describe the days of the week. For example:
星期天 xīng qī tiān - Sunday
星期三 xīng qī sān - Wednesday

月, which means 'moon' in Chinese, also means 'month'. E.g. 五月 = 5th month = May.

Some examples of dates:
九月十六日 = September 16
这个月八号是星期四 = The 8th of this month is a Thursday.