The ancients said: "Everything is established in advance, and it will be abolished if it is not planned." According to my teaching experience, junior
The ancients said: "Everything is established in advance, and it will be abolished if it is not planned." According to my teaching experience, junior high school mathematics is a whole. The eighth grade is the most difficult, and the ninth grade has the most test sites. Relatively speaking, although there are many math knowledge points in the seventh grade, they are all relatively simple. Many students don't feel pressure in their seventh grade study, and gradually accumulate a lot of minor problems. These problems are highlighted after entering the eighth grade and encountering difficulties (such as increasing subjects and deepening difficulties).
I often joke with my children that you have finished the seventh grade and learned well. Do a good job in the middle school entrance examination paper and get a score of 20 is very good. After finishing the eighth grade, it will be great to get a score of 70 or 80. But without the scores of the seventh grade, there will be no more scores in the future. Without a solid foundation in the seventh grade, there is no way to be excellent in the eighth and ninth grades.
The seventh grade is the beginning grade. Although there are many and simple knowledge points, they are the basis for children to continue learning. For example, the operation of rational numbers, algebraic expressions are the basis of the whole junior high school operation. Students should not only know, but also make 100% correct. For example, solving the equation will not be tested separately in the future, but will be used to find the analytical expressions of linear function and quadratic function and solve related problems of the function, and the application of the equation will also be used. If children's computing ability is not solid, then we can imagine what later learning means to children. Because we often encounter inaccurate calculations, we can't make them smoothly in the future. The coordinate writing requirements of the point in the plane rectangular coordinate system (horizontal and vertical), and the characteristics of the point in the coordinate axis and quadrant need to be mastered by children. Because a child's small mistake may lead to a big mistake. For example, some children often confuse the points on the coordinate axis, which leads to his failure in doing the problem. There is also a simple coordinate method to find points and to express horizontal and vertical line segments in a plane, which requires students to master the basic methods in the seventh grade and lay a solid foundation for learning functions in the future.
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If children learn the application problems of linear equation in one yuan firmly and are good at analyzing the corresponding application problems in various ways, then their analytical ability and thinking ability will be improved. The ability to solve problems will also be improved accordingly. The following equations, such as fractional equations and quadratic equations, including the application of functions, will be easy for students to learn. For them, it is nothing more than different equations and formulas.
For the preliminary geometry, if a child can understand the thinking of solving problems well, take the initiative to reflect and summarize the methods and experiences, then it is not a problem for him to learn geometry in the eighth and ninth grades. But in the seventh grade, it often happens that a child can do one, two or three steps to prove it, but after three steps, he is unwilling to think about it, or he doesn't know how to think at all. At this time, if it can consciously use comprehensive analysis to try to analyze problems, then his future geometry learning will not be so difficult.
? The second volume of seventh grade mathematics, real numbers, is a problem to be studied within the scope of real numbers. Although its content is not much and its length is not long, it occupies an important position in middle school mathematics. It is not only the basis of learning quadratic roots, quadratic equations with one variable and solving triangles, but also the basis of learning high school mathematics content. In recent years, real number operation is one of the key knowledge points in senior high school entrance examination.
The application, analysis and calculation of statistical charts in data collection, arrangement and description are the hot spots in the senior high school entrance examination.
? The solution and application of inequality (group) is also the key content of senior high school entrance examination.
Although most of the contents of seventh grade mathematics are not examined separately, they are very important for future study.
? If children are full of confidence, interest and passion in mathematics learning in the seventh grade, have solid basic skills and knowledge, can think about problems and develop good thinking habits, the eighth and ninth grades will only increase their knowledge and will not split.