In a traditional essay, context is an important link between what you believe is interesting to the reader (hook) and your thesis statement (your argument/claim). Context in an introduction should be brief and give the background information needed to support the thesis.
However, it seems like your teacher is asking for an entire paragraph devoted to the context of your daily surroundings that is separate from the introduction. Most likely, the assignment is asking for a description of the most important parts of your daily surroundings. In other words, you should provide the reader a sense of what it is like to live within your daily surroundings. A nice technique in writing to establish context is to check to make sure your writing appeals to the five senses (sight, sound, touch, smell, taste). For example, you can enhance a description of your classroom by describing the sterile odor of whiteboard markers or describing the sound a chair makes on a floor when everyone is working on a stressful test.
Good luck on the assignment!