Co-evolutionary hybrid intelligence (CHI) is a symbiosis of artificial and natural intelligence, mutually developing, teaching, and complementing each other in the process of coevolution. Human-machine intelligence co-evolution is a paradigm for building a new generation of intelligent systems. The main feature of intelligent systems of the future is a seamless interaction with humans and the ability to solve complex cognitive problems inaccessible to artificial intelligence and humans separately. Within the framework of the school students get to know the principles of organization of hybrid intelligent systems, the foundations of designing cognitive architectures and approaches to their implementation. A special place in the training of the school participants is devoted to project activities. Teams of students implement projects from different subject areas. The work in teams is carried out under the guidance of experienced developers of intellectual systems. Representatives of industry, business and scientific organizations act as experts and consultants.