Banovallum School and Queen Elizabeth's Grammar School in Horncastle will be affected.
Staff members at Queen Elizabeth's School and Corfe Hills School took industrial action on Wednesday.
The National Education Union announces plans to strike at Dorset schools in May.
Teaching staff will walk out for three days over the academy trust's plan to cut staff and subjects.
NASUWT's leader said there is a "ticking time bomb" if male pupils cannot be helped with misogyny.
Staff at Tewkesbury Academy first walked out in February due to disruptive behaviour among pupils.
Teachers are walking out for 12 days in March and April over lack of action on poor pupil behaviour.
A union says schools should practise emergency responses as they do with routine fire drills.
Teachers at two Greater Manchester schools took to the picket lines after claims of violent children
