Many undergraduate and graduate students understand neither the process of scientific writing nor the significance of peer review. In response, some instructors have created writing assignments that teach or mimic parts of the scientific publishing process. However, none fully reproduced peer review and revision of papers together with the writing and publishing process from research to final, accepted draft. In addition, most have been instituted at the graduate rather than undergraduate level. We present a detailed method for teaching undergraduate students the full scientific publishing process, including anonymous peer review, during the process of writing a "term paper." The result is a review article in the format for submission to a major scientific journal. This method has been implemented in the course Cell and Molecular Biology for Engineers at the University of Virginia. Use of this method resulted in improved grades, much higher quality in the final manuscript, greater objectivity in grading, and improved understanding of the importance of peer review.