Boston Mayor Marty Walsh said Tuesday that his new budget proposal would recommend a $15 million down payment on universal access to pre-kindergarten for all city four-year-olds within five years.

Walsh's fiscal 2020 budget is due out next week, and the money proposed would put the city on the path to create 750 seats in pre-K programs in the Boston Public Schools and in community-based organizations, such as ABCD Head Start, Boys & Girls Clubs, YMCA, and others.

The mayor made the announcement at the ABCD Walnut Grove Head Start in Dorchester.

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"There is no better investment we can make than providing our children with high-quality learning opportunities from an early age," Walsh said in a statement.

According to the mayor's office, the gap between interested students and available high-quality pre-K classroom seats stood at 1,500 when Walsh took office, but has been cut in half over the last six years.

The funding in Walsh's budget for the new "Quality Pre-K Fund" would support programs that require all teachers to have a degree in early childhood education and be prepared to teach in "inclusive" classrooms for the same starting salary as a BPS teacher.

To ensure quality, Walsh's office said programs must also use Boston Public Schools Focus on K1 Curriculum and Building Blocks Curriculum, have a classrooms with a ratio of two educators to 20 students, and be accredited by a national early childhood accrediting body.