Choose a topic to write about. Writing about the whole of Greek architecture is a nearly impossible, daunting task, so choosing a subcategory will be more manageable for your project. Consider periods in Greek history that are of interest to you. Possible periods to choose from --- each with interesting contributions to Greek architecture --- are Archaic, Classical and Hellenistic.
Pick a specific work, or works, of architecture from the chosen period to focus on in your paper. You may want to compare and contrast several different constructions to illustrate how the architecture changed throughout the period. Alternately, you may choose to focus on one pivotal example from the chosen period.
Conduct a thorough research regarding the building you have chosen to write about. When using resources, determine the authenticity of the source. Avoid sources with an obvious bias, as this goes against the standards of objective essays. Utilize as many types of resources as you can, from print to Internet resources to museum catalogs. When you find an ideal resource, copy down the bibliographic information so that you can later cite it in your references.
Write the introduction of your paper. Introduce the subject matter in a clear, third person point of view. Avoid using first and second person, as this causes your paper to take a subjective tone and limits your authority as an unbiased writer.
Write the body of the paper, where you will present the majority of the information regarding the architecture. Stay focused while writing this section. Avoid superfluous information. Make sure the paper is objective by continuing to avoid first and second person. Use the research you compiled to present a clear, organized line of thought.
Finish your paper by writing the conclusion, where you sum up all of the information presented in the body of your paper. Do not introduce new ideas at this time.
Compile the bibliography and cite everything you used to help you write the paper. If you do not cite your resources in the bibliography, you are plagiarizing, which is a serious offense at any college or university.
Read through your paper and edit for grammar, spelling, punctuation and third person voice.