The seventh school is about to pass, and after this semester's math study, the general feeling of parents and children is:
1.Junior high school mathematics as a whole is quite simple (in fact, it is an illusion, because the seven focuses on basic concepts and calculations, as long as the child usually practices and completes it steadily, it is still relatively normal to take the test 110+, if there is no question type loophole, there will rarely be a question in the seventh exam that can prevent you from getting 120).
2.Children are reluctant to do additional teaching exercises, because there is not much additional practice at the moment, and the math scores are about the same (although the maintenance and improvement of math scores are not piled up by the sea of questions, but moderate additional practice is necessary, especially in the ** grade, the exercises in the school are for most children, and some difficult question types will cover but the amount will not be much, and those questions are the real distinguishing questions in the exam, children who do not have self-doing questions and thinking habits, it is more difficult to really excel, if the time is limited, You can pick and choose to do some questions that are really valuable).
3.Discipline balance is more important, and the disciplines with good grades are put aside for the time being, and the weak subjects are made up for first (it is true that in junior high school, subject balance is more important, but after so many years of experience, parents should be able to feel that it is not easy to improve weak subjects, and it is relatively slow; However, if there is no time to invest in the dominant disciplines, they may gradually become no longer advantageous or the advantages are not obviously unstable, so it is a wise strategy to let the dominant disciplines maintain their advantages and improve the weak ones).
Seven Interpretations of Mathematics Textbooks".
Chapter 1: Parallel Lines.
Chapter 2: Binary Linear Equations.
Chapter 3: Multiplication and Division of Integers.
Chapter 4: Factorization.
Chapter 5: Fractions.
Chapter 6: Data and Statistical Charts.
Chapter 1: Parallel lines can be said to be the formal beginning of geometry, the biggest difference between parallel lines and seven lines and angles is that line angles focus on the number of line angles, and parallel lines focus on the theorem system. The reasoning process of line angles only needs to have a perception of quantity, while parallel lines need to be carried out strictly according to a framework system. The difference can be seen from the knowledge points. Therefore, students are required to understand a set of thinking logic framework system that they do not have in their minds, and always use this framework as the criterion for thinking about problems, and form such thinking habits.
Chapter 2: Binary Equations represents a very important direction for the ascension of junior high school mathematics problems, that is, to increase the number of unknowns. But from the perception of it, after the problem becomes binary, the situation that many children are helpless when they encounter problems has increased a lot. The focus of this chapter is to understand the relationship between monary and binary, in fact, most of the binary problems have appeared in the time of binary, from one to binary, in essence, only need to do an additional elimination of the element, and the way to deal with the problem has not changed. Using old knowledge to quickly understand new knowledge, this chapter can be summarized in one sentence: first eliminate the element, and then deal with it according to the unitary problem.
Chapter 3: The addition and subtraction of integer formulas only focuses on the operation of coefficients, while the multiplication and division of integers increases the operation of letter exponents, the complexity increases slightly, and the concept of formulas is introduced. One of the functions of the formula is to improve efficiency, and the other is to require children to have the ability to abstract and find the universal law of perfect square and square difference. Moreover, a big difference between this chapter and the previous one is that we learn to operate, generally from left to right, and there is a fixed derivation direction for solving equations, while in the use of formulas, there are a large number of identity deformations, so that the original one-line derivation becomes a derivation in the direction needed to solve the problem, just like there is only one way, you just need to go forward. Now there are many paths, you have to choose, you have to predict whether this path will work, and when you can't predict, you still need trial and error. The requirements for ability are more comprehensive, and children need to have the courage to try and make mistakes, even if they don't know the result and make a mistake, it's a big deal to start all over again.
Chapter 4: If integer multiplication and division is to build a castle from building blocks, then factorization is to break down a castle into building blocks. Just like the direction of studying matter in physical chemistry, it is constantly subdividing particles, molecules, atoms, and atoms. Factorization is the process of breaking down a polynomial into smaller units, similar to the decomposition of prime factors in elementary schools. Factorization is actually a kind of thinking of problem dismantling, and to disassemble complex problems into several simple problems is to learn to simplify complex problems.
Chapter 5: Fractions This chapter adds the form of operation of fractions, just like going out of the distance, we need a lot of different means of transportation, we are in the world of mathematics, and the formulas we encounter also have different forms, so fractions, quadratic radicals, are indispensable, quadratic radicals in the second chapter of the second volume of the eighth grade. Fractions are very closely related to factorization, so they are studied here. You can think about how we divide 72/48 into 72/48, and we must first know what common factors 72 and 48 have, and it is easy to understand the logic of this arrangement. With the increase of the reduction and subdivision operation, most students will still bump and bump in the calculation for a while before they can adapt to this chapter, which is a difficult point in computing.
Chapter 6: This chapter is a relatively independent and very important content in mathematics, but statistics in middle school is a module that raises the average score, and the annual high school entrance examination is stable with more than ten points.