This document provides guidance on writing introductions and conclusions for essays. It discusses several strategies for opening an essay, such as using a scenario, statistics, or historical analogy. It also discusses ending strategies like summarizing the solution, reminding readers of something special about the problem or solution, suggesting consequences of failure to solve the problem, or providing a call to action. The document then covers sentence strategies, including avoiding ambiguous uses of "this" and "that" and revising sentences that lack an agent. It concludes with assigning homework of adding an introduction and conclusion to a draft essay and revising for clarity and inclusion of agents.