A method of constructing an elevated flooring surface, comprising: locating a plurality of support pedestals upon a fixed surface with a predetermined spacing between the support pedestals; placing support plates over top surfaces of the plurality of support pedestals; wherein each support plate includes a base having a top surface, a bottom surface opposite to the top surface, a plurality of corner portions, a plurality of outer edge segments disposed between adjacent corner portions, an outer periphery formed by the plurality of outer edge segments and the plurality of corner portions, and at least a first raised portion extending upwardly away from the top surface adjacent the outer periphery, wherein each support plate includes at least three corner portions that are respectively disposed over the top surfaces of at least three of the support pedestals; positioning each of a plurality of building surface components over a respective one of the support plates, wherein each building surface component includes a top surface, a bottom surface opposite to the top surface, a plurality of corner portions, and a plurality of outer edge segments disposed between adjacent corner portions, wherein a first corner portion of the plurality of corner portions of each building surface component is positioned adjacent a first corner portion of the plurality of corner portions of each support plate, and wherein the first raised portion of each support plate contacts the bottom surface of each building surface component to create a gap between the top surface of each support plate and the bottom surface of each building surface component adjacent the outer periphery, wherein the gap opens between the outer edge segment of each support plate and the outer edge segment of each building surface component; positioning attachment systems into the gaps; and securing the support plates to the support pedestals using the attachment systems. locating a plurality of support pedestals upon a fixed surface with a predetermined spacing between the support pedestals; placing support plates over top surfaces of the plurality of support pedestals; wherein each support plate includes a base having a top surface, a bottom surface opposite to the top surface, a plurality of corner portions, a plurality of outer edge segments disposed between adjacent corner portions, an outer periphery formed by the plurality of outer edge segments and the plurality of corner portions, and at least a first raised portion extending upwardly away from the top surface adjacent the outer periphery, wherein each support plate includes at least three corner portions that are respectively disposed over the top surfaces of at least three of the support pedestals; positioning each of a plurality of building surface components over a respective one of the support plates, wherein each building surface component includes a top surface, a bottom surface opposite to the top surface, a plurality of corner portions, and a plurality of outer edge segments disposed between adjacent corner portions, wherein a first corner portion of the plurality of corner portions of each building surface component is positioned adjacent a first corner portion of the plurality of corner portions of each support plate, and wherein the first raised portion of each support plate contacts the bottom surface of each building surface component to create a gap between the top surface of each support plate and the bottom surface of each building surface component adjacent the outer periphery, wherein the gap opens between the outer edge segment of each support plate and the outer edge segment of each building surface component; positioning attachment systems into the gaps; and securing the support plates to the support pedestals using the attachment systems.