A didactic strategy is presented, with a problem solving approach, through mathematical modeling to the design and implementation of a product (utility model) to prevent the spread of COVID-19. The above, was realized in the topic of mathematics III, during the 2020-I semester in the Professional Career of Architecture of the National University Hermilio Valdizán de Huánuco-Peru. The research was realized by a quantitative approach, descriptive level and non-experimental design. This strategy consisted of 5 phases: phase 1: formulation of the context problem to prevent the spread of COVID-19, with a utility model using quadratic or curved surfaces; phase 2: theoretical framework and objectives; phase 3: mathematical modeling; phase 4: drawing up the utility model plans; phase 5: 3D utility model. The evaluation of the strategy was carried out through rubrics of: teacher evaluation, sel...