Junior one mathematics mainly studies the knowledge of number and algebra, space and graphics. The knowledge involved includes: rational numbers, addition and subtraction of algebraic expressions, unary linear equations, preliminary understanding of graphs, intersecting lines and parallel lines, plane rectangular coordinate system, triangles, binary linear equations, inequalities and inequality groups, and real numbers.
The key points of knowledge to be mastered in the first semester are as follows: intersection line and parallel line mainly discuss the positional relationship between two straight lines in the plane, with emphasis on vertical and parallel relationship; The main contents of the plane rectangular coordinate system include the plane rectangular coordinate system and related concepts, the corresponding relationship between points and coordinates, and the geographical position and translation expressed by coordinates; The main contents of the triangle part include the sum of line segments related to the triangle, angles related to the triangle, polygons and their internal angles; The main content of binary linear equations is the solution analysis of binary linear equations and the use of it to solve practical problems; The main contents of inequality and inequality group are the nature of inequality, the solution of one-dimensional linear inequality (group) and the set representation of its solution set, and the use of one-dimensional linear inequality (group) to analyze and solve practical problems; The main contents of real numbers are arithmetic square root, square root, cube root and related concepts and operations of real numbers.
In the face of complicated mathematics knowledge, how can the students who are about to enter the first grade prepare in advance to make the mathematics learning in junior high school "land" safely?
In the process of learning, we should pay attention to three links: preview, lecture and review. It is necessary to develop the preview habit of combining reading, drawing, thinking and calculating, pay attention to the transfer of knowledge and compare the relationship between old and new knowledge. Avoid remembering things without knowing why. Pay attention when listening to the class, and participate in classroom activities with your brain, hands, mouth and eyes. Never desert in class, let alone rely on family education or extracurricular remedial classes to relax and participate in class. According to Ebbinghaus's forgetting curve law, "fast first and then slow down", you can't just finish the task in class, or you are too lazy to do your homework because you think you understand it. The correct way is to consolidate the knowledge of the day, so as to review for three days and summarize for five days. Connect the old and new knowledge into a string to form a surface, so as to truly master mathematical knowledge.
Junior high school mathematics learning, from the beginning, should set up a goal-to form their own learning style. The characteristics of primary school mathematics content make students have a strong dependence on teachers. After junior high school, teachers' teaching methods are extensive, clear-cut, focused, logical and abstract. If students learn by rote and simple repetition, it will be difficult for them to keep up with the learning process. After a long time, the problems accumulated more and more, and the math scores regressed. Therefore, students should actively participate in effective mathematics learning activities in the learning process, and cultivate the ability of autonomous learning, rather than relying solely on memory and imitation.