The new curriculum standard of senior high school mathematics points out that it is necessary to grasp the teaching content as a whole and promote the continuous and phased development of the core literacy of the subject. In order to promote the curriculum reform based on literacy, teaching should shift from focusing on isolated knowledge points to attaching importance to the overall design of the unit. This paper takes the equation of conic curve as an example, and determines the core tasks of the unit based on the analysis of the teaching content, learning situation, teaching emphasis and difficulty. Make clear the unit teaching goal and the learning goal of the first class of "ellipse", and then take "ellipse and its standard equation" as an example to design the teaching of specific class hours, hoping to provide useful reference for teachers and promote the reform of basic education.