This article is a teaching design fragment of "the first N-term sum of the equal ratio series" in the chapter of "the number series" in the compulsory 5 mathematics textbook during the summer social practice of the Hongzhi tutoring class in Shanyin county. Through the teaching research and analysis of "the thought of equation, the definition of the equal ratio series, the dislocation subtraction", then the teaching practice is carried out in the second grade of senior high school, In the classroom, through the interaction between teachers and students, group discussion and so on, to achieve better teaching effect. After class, questionnaire survey is used to collect the feedback information of students in the classroom, to reflect and summarize after class
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