The legislature shall have general supervisory jurisdiction over all state owned lands useful for forest preserves, game areas and recreational purposes; shall require annual reports as to such lands from all departments having supervision or control thereof; and shall by general law provide for the sale, lease or other disposition of such lands.

     The legislature by an act adopted by two-thirds of the members elected to and serving in each house may designate any part of such lands as a state land reserve. No lands in the state land reserve may be removed from the reserve, sold, leased or otherwise disposed of except by an act of the legislature.