A bench memorandum is a note that a judge writes to himself or herself to help them remember important information and make decisions about a legal case. Just like how you might write down important information in your notebook to remember it later, a judge does the same thing but on a special legal document.
This note includes things like important dates, facts or details that are important to the case, and possible legal arguments that the judge may need to consider. It helps the judge stay organized and remember all the important information and arguments so that they can make a fair decision.
Think of it like a cheat sheet that helps the judge keep track of information that they need to remember to make sure they make the best decision for everyone involved.