1, equation Class 7~8 is mainly a one-dimensional linear equation, while Class 9 is gradually a one-dimensional quadratic equation, which is also the change from arithmetic formula to equation in primary and secondary schools. Equation logical thinking is very important, it optimizes the difficulty coefficient of thinking, just list the formulas according to the standard of the test questions.
However, this change is more difficult for many children. Some children always like to use formulas to do hard calculations in primary and secondary schools, but when using a linear equation, sometimes the formula comes faster than the equation, but when it comes to a quadratic equation, the formula cannot be overcome. Therefore, children must understand the logical thinking of equations. After all, most math classes, physics and even organic chemistry in high school can be explained by equations.
2. Function formula. Function formula is the correspondence between an independent variable and another factor, and the emphasis here is the correspondence. We must thoroughly understand this. Functions in junior high schools can be easily divided into linear functions and quadratic functions. Generally, the last question in the college entrance examination is mostly a big question combining quadratic function with geometry. But middle schools must understand all the function formulas, because ordinary high schools are all function formulas.
3. geometry. This is to cultivate children's spatial imagination, which is different from analytic geometry. Analytic geometry reflects thinking ability and its computing level. So there is no certain correlation between the two. If you are good at combinatorial mathematics, you don't have to learn geometry well, just the same. I know a child who is average in combinatorial mathematics, but good in geometry. Naturally, how to learn algebra and geometry can be refined, and that is basically a master of mathematics. Junior high school geometry is mainly geometric figures, and senior high school will learn solid geometry.
Equations, function formulas and geometric figures are the main contents of junior high school mathematics teaching. If you want to learn primary school well and lay a good foundation for ordinary high schools, you must do the following. Be sure to look further, after all, everyone's final goal is the college entrance examination. It would be better if all these contents can be summarized together, so that we can have an all-round cognition and understanding of these contents. Friends who can draw mind maps can draw a picture, and friends who can't draw can print it out. Here is a set of mind maps, including every knowledge point in junior high school mathematics teaching, printed by parents' personal collection. Thinking brain map is to connect these scattered knowledge points in series, which helps children prepare for exams and improve their academic performance.