Abstract: Based on mathematics curriculum standards, the opening game is designed from the essences of the congruence classification of odd and even numbers and the binary group operation. Through an independent, cooperative, inquiring, and interactive flipped classroom, the application of odd and even arithmetic properties is experienced. Finally, the development of this flipped classroom was completed by constructing a new game and integrating reality. Hence, students' modeling ideas and innovative consciousness are cultivated, and equivalent classification and isomorphism ideas are passed on.

Key words: Mathematics curriculum standards, Modeling ideas, Odd, Even, Flipped classroom