Frightened and crying, the girl left the property and was walking down the road when she was observed to be in a distressed state by a passing police car.
The mother arrived and admitted to police she had hit her daughter and was subsequently arrested.
Judge Greg Davis noted the woman at the time was having difficulty coping with her daughter's behavioural issues without the help of her partner and the children's father - who was in jail at the time. He also noted the woman had no previous convictions and had since taken a number of steps to repair the relationship with her daughter including attending parenting courses.
"Rehabilitation is important ," Judge Davis said.
"This child was your daughter, she learns from you how to deal with stressful situations and relies on you for learning this is not through violence ... you are the adult."
Judge Davis convicted and sentenced the woman to two months' community detention with a curfew and nine months' supervision.