Methods of constructing concrete walls that include placing a plurality of cleats along a wall perimeter, securing the cleats to a surface under the wall perimeter, placing a plurality of insulating concrete forms along the perimeter, and placing concrete into the insulating concrete forms to form the insulating concrete wall. The cleats include a base plate, a first vertical flange extending approximately perpendicular from the base plate, and a second vertical flange extending approximately parallel to the first vertical flange. The space defined by the first vertical flange, second vertical flange and the base plate, is adapted to receive a bottom portion of a form component or a bottom portion of a form. The insulating concrete forms are placed along the perimeter such that a bottom portion of the form components or a bottom portion of the form are press fit into the defined space.