Mrs May released the news hot on the heels of former Prime Minister Tony Blair leaning on Mr Corbyn to push to remain in the European Union.
But the Prime Minister is resisting calls to dishonour the vote of the people and pushing ahead with Brexit.
The Liberal Democrats and the Scottish National Party will also be set to attack the British leader over her insistence to get down to business – and refusal to let Nicola Sturgeon tear apart the Union at home.
Theresa May goes head-to-head with Jeremy Corbyn
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The SNP quickly attacked Ms May over Brexit.
Angus Robertson, SNP, asked why Theresa May was set to trigger Article 50 without an agreement from other countries in Britain.
He said: “Last year the PM promised she would secure a UK wide agreement between governments of Scotland, Wales and Northern Ireland before triggering Article 50 on Brexit.
“Since then she has delayed, blocked and lectured and she has no agreement. There is no agreement.
“Will these be her negotiating tactics with the EU?”
Ms May retorted by outlining how her party is carrying out the will of the people in two votes.
She said: “We want to ensure we get the best possible deal for everyone in the United Kingdom, including the people of Scotland because at heart we are one people.
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"The people of Scotland voted, exercised their right to self determination, and voted in 2014 to remain a part of the UK.
“The people of the UK voted to leave the EU.
“We are respecting both of those votes. He is respecting neither of them.”
Angus Brendan MacNeil MP asked the PM to show “respect” for Scotland.
He insisted Theresa May was opposed to an independent Scotland booming economically.
But May hit back sharply.
She said: “If he is looking at issues around economic growth he should pay attention to the most important market for Scotland
“It’s the market of the UK and that’s why Scotland should remain part of it.”
Angus Brendan MacNeil for the SNP attacked Ms May over independence
Post-Brexit trade was raised in PMQs.
Ranil Jayawardena MP asked whether or not it was possible to “trade our way to greater prosperity” after Brexit.
The PM was insistent Britain will be looking for a free trade deal.
Ms May said: “We do want to continue to have a partnership, to continue to be able to trade freely and for companies in EU member states to trade with us
“We want to enhance and improve the arrangements we have for trade with other parts of the world, including members of the commonwealth.”
When attacked over the Article 50 announcement by Jonathan Edwards MP Ms May again told the House of Commons she was upholding democracy in Britain.
She said: “Triggering Article 50 – what I am dong is responding to the wishes of the British people.”
Ms May began the session by paying tribute to former Deputy First Minister of Northern Ireland Martin McGuinness – but said she cannot “condone or justify the path he took in the earlier part of his life”.
Mr Corbyn also paid tribute.
Lucy Allan MP first mentioned Article 50 – but Ms May was ready to insist Britain is set to go from strength to strength after divorcing the bloc.
Key Moments from the PMQs Wed, March 22, 2017
All the highlights from Prime Minister's Questions: March 2017
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Prime Minister's Questions
Our plan for Britain will deliver a stronger, fairer economy and a more united, outward looking country than ever before
She said: "The referendum result was about making Britain a country that works for everyone not just the privileged few and that is why the plan for Britain is about building a stronger, fairer Britain for ordinary working families like those in Telford.
“Our plan for Britain will deliver a stronger, fairer economy and a more united, outward looking country than ever before.”
Jeremy Corbyn insisted schools are going to suffer from cuts to budgets – which he said was going directly against the Tory manifesto.
The Labour leader said teachers are paying for pens and books out of their own pocket.
Theresa May was accused by Corbyn of creating a 'vanity project' with her grammar schools programme.
Jeremy Corbyn again accused Theresa May of creating a 'vanity' school project
Jeremy Corbyn attacked Theresa May on the cutting of funds in education, which he claimed have slashed the number of teachers in schools and has led to a lack of books in schools.
Theresa May refuted Corbyn’s claim and said: “This government is committed to ensuring everyone has a good education. We have protected the pupil premium.
“We have protected the school budget.
“We now see more teachers in our schools and more children in good and outstanding schools, that is the result of this government and the diversity in education and choice for parents.
“This government is about ensuring children get on because of merit and not privilege.”
May said the Conservatives have addressed the "unfair" school funding in the UK.
Mrs May said: "Typical Labour take the ladder and pull it up behind them" as she blasted Labour MPs for sending their children to Grammar and Private schools.
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