The purposes are to use the Internet technology to innovate the ideological and political (IAP) classroom teaching mode, take full advantage of the mobile platform under big data (BD), improve the effectiveness of IAP education, and deeply grasp the internal needs of students for the IAP classroom. First, the specific meaning and implementation process of mobile cloud teaching (MCT) under the Internet are deeply studied, as well as the connotation of the IAP course. Second, some suggestions are proposed. A theoretical analysis of the synergy between MCT and IAP classroom is conducted, and the teaching situation of cloud teaching classroom from the basic construction and operation mode of MCT platform is discussed. Finally, a case study on blue-ink cloud class is carried out. The results show that to realize the innovation of the IAP classroom teaching mode, it is considered that the IAP classroom has a strong dependence on the information. The MCT platform has wide access to information, which can well connect with the IAP classroom. The teaching methods of the cloud teaching platform tend to be diversified and interesting, and the overall teaching pattern is different from the traditional classroom teaching mode. The teaching effect is greatly improved based on the MCT platform. To achieve the synergy of the Internet and the MCT platform, the advantages of the cloud teaching platform should be expanded, the online communication between teachers and students should be strengthened, and the channels for information acquisition should be opened up. Blue-ink cloud class fully utilizes the advantages of the cloud teaching platform, which provides a great reference for IAP classroom teaching. Its flexible teaching method and intelligent management are helpful to the reform of IAP classroom teaching in the future.