My daughter lied to her teacher that I slap her so the teacher doesn't tell me she was grounded

[Minaaleeza]

Ok..so my 5 years had a bad day at school and said to her teacher don't tell mummy that I didn't listen cuz she will slap me...I don't slap her or smack her even! I do be strict with her at home because I have a 2 years old baby and she's copying her in everything, jumping from sofas to the floor,playing on stairs,not sleeping on time and laying aswell..social worker met her at school,she said mummy is nice and we are best friend but she's strict and shout at me when I'm naughty ,I was not proud that I hear she's scared of me but in the same the social worker kept saying I need to come to ur House to discuss the slapping that happened!I denied it 100 times and I don't believe in slapping a weak child but I believe in despline and to make sure she's safe while playing or her sister safety..
Any advice how to deal with his false allegations against me even though my daughter said she only shout sometimes..I don't mind learning more about parenting and work with social services but I m not accepting accusations without evidence..kids can say all sorts of things to escape from bad situations

Yes that's what I meant,I would be gutted as a parent if my child was bitten by a kid in school!
About grounding methods we are trying all of them except slapping or being physical, so far removing TV hour and pocket money is working!she is saving to buy her first doll house(we are not buying her toys anymore because she breaks them when she's angry,so we are teaching her value of money and to appreciate toys)

The same story happened to me just my 6 and half yr daughter lied to the as I slap her. They told me of She would tell us for the third time, we don't conatct you just, we will let to social security team. I am praying not to hear false story.