In the current paper, a methodology combining a case study with a computational tool for aerospace engineering students is presented and discussed.The aim of this methodology is to improve the understanding of jet engine's operation through their thermodynamic cycle analysis, particularly focused on the effects of the main boundary conditions for an aircraft engine: altitude and flight velocity (or Mach). Additionally, the organization of the methodology as a case study performed in groups helps to facilitate student engagement, as well as the development of soft skills, such as teamwork ability. The experience of this methodology over the last 5 years shows that the activity is generally well perceived by the students, and also that there is a correlation between the engagement in this activity and the overall results achieved in the subject, confirming that the methodology helps to improve students' comprehension of the concepts behind engine performance. However, a few points of improvement for the near future are identified.