This document contains three modules. The first of these examines applications of algebra to geometry. It is designed to teach students how to algebraically characterize points which may be constructed with a compass and straight edge, and how to use this characterization to obtain classical geometric nonconstructibility results. The second unit features applications of statistics. It is designed to help the student: 1) perform the t-test on appropriate experimental data and interpret the calculated value of "t"; 2) understand the role of a statistical test of significance in the research process; and 3) recognize the relationship between the statistical arithmetic and the design and conduct of the experimental investigation. The final module views applications of probability. The student is taught to: 1) use the Monte Carlo technique to simulate simple experiments; 2) better appreciate the role of approximate solutions to complex problems. Each of the three modules includes exercises, and answers are provided. The second and third units contain model exams, with answer keys included. (JN)