We home schooled all of our children and there is no set criteria whatsoever for what is required. Some gypsy families home school in an oral tradition with no written work whatsoever, and that is perfectly acceptable to the LEA. That being said, home schooled children do need far less structured lessons, we only ever spent a maximum of two hours per day in a 'formal' learning evironment, all of the rest was down to the kids own personal hard work, and in them learning from conversaiton,eading, television, internet, going out etc.
All of my grown kids have done very well for themselves, and my younger daughter has recently gone to Germany to live where home schooling is not legal. She now attends a Steiner School there and all subjects are taught understandably in German, yet she is holding her own.... mainly I think due to her being happy and self confident through home education.
Home education is not like school, that is not it's purpose, and it is not really for anyone other than the children's carer to decide how or what it should be like. You sound as though you thoroughly disapporve of what she's doing, when she clearly removed a child from a bullying environment, why is this so?