It shall be the function and duty of the commission to make and adopt a master plan for the physical development of the municipality, including any area outside its boundaries which in the commission's judgment bear relation to the planning of the municipality. The commission may cooperate with any county planning commission having planning jurisdiction over such unincorporated areas in connection with the preparation of that portion of the master plan covering those areas. The plan, with the accompanying maps, plats, charts, and descriptive matter shall show the commission's recommendations for the development of the territory, including among other things, the general location, character, and extent of streets, viaducts, subways, bridges, waterways, water fronts, boulevards, parkways, playgrounds, squares, parks, aviation fields, and other public ways, grounds and open spaces; the general location of public buildings and other public property; also the removal, relocation, widening, narrowing, vacating, abandonment, change of use or extension of any of the foregoing ways, grounds, open spaces, buildings, or property; as well as a zoning plan for the control of the height, area, bulk, location, and use of buildings and premises. As the work of making the whole master plan progresses, the commission from time to time may adopt and publish a part or parts thereof, any such part to cover one or more major sections or divisions of the municipality, or one or more of the matters listed above or other functional matters to be included in the plan. The commission may amend, extend, or add to the plan from time to time.