Haringey Council was severely criticised following the death, after sustained abuse, of 17-month-old Baby P in August 2007.
The appeals brought by Ms Ward and Mrs Christou are opposed by Haringey Council.
Haringey, Milton Keynes and Surrey were the other councils to get a one star rating.
Earlier, Haringey Council said it had learned that the sale was stopped at the last minute.
BBC: Banksy artwork taken in north London withdrawn from sale
Haringey Council, the borough that contains Tottenham, has seen its youth service budget slashed by 75%.
The mentoring projects will be in Brent, Croydon, Hackney, Haringey, Lambeth, Southwark, and Waltham Forest.
Under her leadership, Haringey claimed to have the highest proportion of 'good' or 'outstanding' schools in London.
The nine boroughs being targeted are Brent, Camden, Hackney, Haringey, Islington, Lambeth, Southwark, Tower Hamlets and Westminster.
Spurs also had planning permission for a new stadium in north London approved by Haringey Council on Thursday.
As well as the uneven performance of Nord Anglia in Hackney, there was also the embarrassment of Haringey.
Despite reservations from several councils regarding the proposal, a Haringey Council spokesman said it had received some support.
Dr Al-Zayyat saw 17-month-old Peter Connelly at St Ann's Hospital in Haringey days before his death in 2007.
She was murdered by her great-aunt Marie Therese Kouao and her boyfriend Carl Manning in Haringey, north London.
Haringey Council's social services department has previously been in the spotlight over its failings in the Baby P scandal.
Haringey social services, he said, had even closed Victoria's case - without acting - on the day she died.
Mr Balls said the inspectors' report delivered a "damning verdict on the current management of safeguarding children in Haringey".
"Haringey Council will now remove the current director of children's services from her post with immediate effect, " he said.
Five employees of Haringey Council in north London, including children's services director Sharon Shoesmith, were sacked after Baby Peter's death.
Haringey said police did not express such views during discussions, and some had been formed "with the benefit of hindsight".
On Friday, the Court of Appeal ruled that she was sacked unfairly from her job at Haringey Council after the case.
The former head of Haringey Council children's services has returned to court over her sacking following the death of Baby P.
But Haringey's social services are now once again in the spotlight for failing to prevent the death of a vulnerable child.
Mr Lewis joined Haringey last month to replace Sharon Shoesmith, who was sacked over failings exposed by the Baby P case.
From April, many Haringey residents who have paid nothing in the past will have to pay 20% of their council tax.
BBC: Haringey Council faces legal challenge over council tax
Haringey Council's deputy director of children, Cecilia Hitchen, social worker Maria Ward and team manager Gillie Christou were dismissed in April.
Maria Ward, Peter Connelly's social worker at Haringey Council in north London, and Gillie Christou, her manager, are appealing against their sackings.
The pair's legal teams had claimed they suffered "double jeopardy" because they faced two Haringey misconduct panels looking at the same allegations.
BBC: Baby P social workers lose court appeal against sacking
The court also ruled the decision by Haringey to dismiss her from its employment, also in December 2008, was "unlawful and void".
Mr Balls announced new leadership would be introduced in Haringey's social services, with Hampshire County Council's John Coughlan immediately replacing Ms Shoesmith.
In May, Court of Appeal judges said her dismissal by then children's secretary Ed Balls and her employers, Haringey Council, was "procedurally unfair".
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