Plaque is a soft deposit and can be cleaned by you with proper brushing.
But tartar is a hard deposit which can't be removed at home. There are some YouTube videos showing home removal of Tartar, which are not scientific and can be harmful too.
Next Steps
you may visit me as this is my specialty and cleaning of teeth is the most basic and simple procedure which can be done in 1 or 2 sittings within 20 to 30 minutes and you need not wait for a month to get rid of it.
Health Tips
cleaning of teeth is a very safe procedure and does not cost much too.