In the second time, teaching AIDS, several attacks (abbreviated as geometric raiders), little red books (abbreviated as junior high school function little red books) and special projects (abbreviated as special week plan) can go side by side, with high speed and difficulty, and even some special finals and models can be mixed in the second time, easily exceeding the standard of senior high school entrance examination within one year.
As for the small blueprint (the small blueprint is the junior high school volume of the Mathematical Olympics series [East China Normal University Press, July 2nd edition, 20 12]), it is difficult. For example, Little Blue III (Volume III of Little Blue Blueprint, Linear Function and Quadratic Function) is not easy, and there are many problems in the combination of geometry and function. For example, in the last example in the second chapter, there are at least four or five auxiliary lines, which I dare not look at. This problem is actually that the situation is symmetrical once and rotated once, and the two are considered to be proportional. I won't read the answer, but I will analyze my learning ideas after I understand it. Such a series of questions are routine. Some people think that the last question in the second chapter of Xiaolan III is a bit complicated, and everything else is not difficult, which belongs to the routine. However, there are many mistakes in Xiaolan's topic, and there is no problem with thinking. Those who think that Little Blue Three feels good about the first two chapters, and other chapters are not as difficult as the synthesis of five or three functions, may be the bottom of the synthesis of five or three functions, and think that Little Blue Three is not difficult.
So, let's start with Hongbao and then go to Xiaolan. The difficulty of red envelopes rises slowly and is easy to accept.
Three suggestions on factorization in the first volume of Little Blue Book.
"Little Blue Three" is really difficult for first-grade children. I feel that the math function part of high school is connected. Generally, parents take their children to chew, and there is a little content in high school, which is quite good and prepares for high school. Learning Xiaoao has the connection between junior high school and high school, and learning junior high school will soon get started. The same is true of learning Little Blue now, which can pave the way for future high schools. As long as there is counseling, parents are willing to waste time, even ordinary children, even if they finish chewing, will definitely help in the end.
Of course, most children are not suitable for self-study, and some can teach themselves. The content of junior high school is only learned from the senior high school entrance examination. Therefore, it is not appropriate to rely entirely on children's self-study, or to rely on comprehensive remedial institutions, school teaching and parental guidance to make up for it. Learning still depends on the method. Children simply don't know how to improve efficiency. Parents should reasonably guide, find good teaching materials, and brush off the topics. Some parents follow the baby, do exercises every day to make the baby change, deliberately make mistakes and set pits.
North of the city is more difficult than Jiangsu textbook, but it is better arranged than Jiangsu textbook. I feel that the examples are particularly good, especially the algebra part is very good. The advantage of scallop is that it has all knowledge points and is suitable for children with strong self-learning ability. It is more suitable for children whose self-study ability is not particularly strong to brush online classes. It is more suitable for children from famous schools, because schools are difficult to teach and test, and they are in line with the north of the city. Most of the energy of ordinary schools is on basic problems. For example, factorization of fill-in-the-blank questions in the senior high school entrance examination is super simple. Teachers at school only need students to get these 4 points. There are many problems in Shibei's textbooks and workbooks. Some children always say that the examples in Shibei textbook are simple, and the exercises after the textbook are several grades more difficult.
For North of the City, my family is semi-self-taught. I told him a little bit and found that children will get much less marks if they teach themselves completely. In addition, some answers and analysis of Shibei will use some secondary conclusions, which need the help of parents to deduce together. Children will have blind spots and incomplete understanding in self-study, and some people say that parents and children do problems. If you do something wrong, say it and the child will correct it. In the past, the Olympic Mathematics in primary schools was also a skill and difficulty in preparing notebooks.
I didn't take notes in junior high school, but I suggest taking notes when I study Little Blue Three. Parents should try their best to explain and talk about thinking. Learning a topic may lead to a series of knowledge points. And children can't do this by themselves. And most importantly, we can't spare the time, so we might as well leave it to her to think about a difficult problem. Ask questions for at least half an hour. Think more about thinking, why do you want to solve the problem like this? If Puwa doesn't have a teacher at home, it's best to have some online classes, or take online classes as the main ones and "Shibei" as the reference book. Learning needs thinking and guidance. Sometimes it's because children don't understand, and the ability of self-study will be improved when they are older.
Some children do May 3rd first, and then go to the north of the city, saying that it was a little hard at first. If there are difficulties in self-study in the sixth and seventh grades of books in the north of the city, forget it, but it is not suitable for self-study at home, then find another way and don't hang a tree. Some people don't know whether BAIC will continue to parallel triangles according to the catalogue, or finish algebra before geometry? It's best to get together. At present, junior high school mathematics is not divided into algebraic function geometry, and the middle school examination questions are mainly comprehensive questions, which leads to low efficiency. So, how about going through the "north of the city" first? Or does each chapter deepen the difficulty? (It means "deepening after the completion of the north of the city, or deepening while crossing?" ) You can pass them all first, and then increase the difficulty of learning next semester, or you can do it in parallel. If you have more vacation time, you can go to the double track. First, you can do red packets and several attacks in parallel. If there are no problems and few mistakes, you can finish the game and cultivate excellent standards. If you don't have much time to start school, you can continue to do quadratic functions, quadratic roots, similar quadrangles and circles. If you don't buy "a few attacks", take all kinds of "special projects", such as geometry, algebra and function, make up what is missing, and then do it in parallel with the finale and training. Speaking of topics, what topics are there in algebra? Because the requirements of the senior high school entrance examination are not particularly difficult, the weekly plan is calculated well, and many people in the group have bought it. The closure of four operations of individual quadratic roots and real numbers, as well as indefinite equations, classification discussion and so on. If you have difficulty requirements, you can buy a set of "Independent Enrollment of Famous Schools in the Early Stage" (Mathematics), but you must first read "Little Blue" (the abbreviation of junior high school edition of Mathematical Olympiad series, which has been published in the second edition), and the topic is more difficult than "Little Blue". Some students have almost finished the quadratic function. If you want to pick up Hua 20 (commonly known as the textbook of mathematics, physics and chemistry in the Second Affiliated High School of East China Normal University), here only refers to the mathematics textbook, Hua 20 is the north of high school and the north of the second grade), you can skip the set and learn the function directly. Factorization of "North of the City" is enough. There is no competition. The factorization questions in the senior high school entrance examination are all sub-topics, which is very simple. The difficulty of the senior high school entrance examination lies in geometry and function. Some people have ready-made "plane geometry auxiliary lines" at home. Can it replace "several attacks"? That book is useless. Find a comprehensive book to do. There are few simple geometry questions in the senior high school entrance examination now. They are all comprehensive questions. I hope I can get auxiliary lines to see the model. The books in the north of the city are good, which is equivalent to excellent education. The algebra part is very detailed, and all the edges and corners are swept away, so it is difficult. Someone brushed the book "North of the City" and thought that the plane geometry of this set of books was not very good, so they compiled a handbook of important and difficult points. In fact, the plane geometry of the senior high school entrance examination is a small synthesis. It's useless to brush the seal for the first time, which is particularly time-consuming. If you don't take back a class of templates in the next round, you will not only practice the questions, but also expand the knowledge points, so that you can get more at one stroke and save time. Now junior high school geometry is not the 1980s, but also a complex auxiliary line and multi-step proof problem. At present, the difficulty of a single chapter is method solution, such as Guadou, Hu Bugui, Acheson circle, or the comprehensive difficulty problem has quadratic function and linear function coordinate system, so you'd better learn quickly, drill twice and widen three times, otherwise you can't keep up with all kinds of new questions in the senior high school entrance examination. Someone can't accelerate, what should I do if I feel geometry is so slow? You can solve more than one question, and you can have multiple knowledge points in one question. There are not many geometric problems, and there is no fun without a good sense of problems. The steps of solving the problem of North Plane Geometry are not detailed. Where can I find a standardized detailed step to solve the problem? Search software can solve most problems, and it is often not difficult to write short answers. If you are afraid of incomplete answers, you can directly do the exercise book in the north of the city without doing exercises after the book. Of course, the single knowledge point of "North City" needs to be combined with many knowledge points later. Because no book can solve all the problems in the senior high school entrance examination at once, it must be matched! How to choose if you want to brush the real questions in the senior high school entrance examination? You can find something simple first, such as Tian Li 38, which is very confident. "53" and "Wan Wei" are ok, but it's best to find local examination questions. If there is a local exam question set, there is no need for a general edition. Someone bought 48 sets of senior high school entrance examination questions in each district for five years. In fact, the simulation questions in the initial test are probably better than those in the senior high school entrance examination. Now some people don't brush the whole book. According to the weak knowledge points, they go to various books to find considerable chapters to brush, such as: inverse proportion, trigonometric function, weak circle, and all kinds of comprehensive questions need to be prepared by single brush. This method is right, many people will make up the shortcomings, so special projects are very important. Some group friends bought thousands of dollars for various topics. The book North of the City is most suitable for self-study for the first time, but it can't be used to improve the difficulty. Leaping over the steps depends on the amount and level of questions, but the remedial class "North of the City" can't. Two brushes are not as good as those of Zhejiang University. "North of the City" has at least three volumes, which are thick and time-consuming, and the effect is not necessarily good. If it's grade three, why go back to the north? Brush the questions directly. The difficulty of "several attacks" is ok, and the difficulty of the senior high school entrance examination is slightly better. Let's drive on April 6th. Quickly complete "several attacks" and you can see "thousands of questions" and try some of them. If there are many questions after several attacks on Pythagoras, parallelogram and rotation, you can look at the answers directly, and then accumulate the wrong questions for the second time, that is, after finishing two chapters, do the wrong questions two chapters ago for the second time. If you want to verify the effect by studying it again, you can find this B volume to consolidate it, but it is tiring to learn. The quick way to learn the circle is this. Reading in the north of the city, instead of doing after-class problems, only reading examples, then five or three, and then several attacks, basically 3-4 days, the same is true of quadratic functions. You can write "letter red" directly, which is very fast. When someone is making a functional little red book, it is easier to push the new thinking first and then push the little red book. Xiaohongshu is similar to the problem of new thinking in difficulty, but there are few new thinking problems. You can bring new methods, and there is little difference between them. What about the wrong question? If there are too many wrong questions, what is needed is to grasp the basics and re-learn, not the wrong questions. According to the subjects and study materials, treat the questions as wrong; If you are wrong, focus directly on the book and take it out regularly to consolidate it; Weekly cycle, every semester cycle, every semester. Put the wrong question at most once, and it is easy to do it twice if it is not completely solved. A few questions about attacks and letters are very fresh. In fact, the difficulty and routine are not so high, so it is a connecting link. Knowing the past as soon as possible is a great progress, and it is not so difficult to start from several comprehensive and final periods. The senior high school entrance examinations in all provinces and even some cities are their own propositions. Some people can't make up the last question of the last two big questions in the two mock exams for various reasons, which are based on several different books. In this case, you have to find a local middle school exam to brush. For example, The Finale of the 2020 Senior High School Entrance Examination in Dalian (Mathematics/Physics/Chemistry) is a book that studies the finale of various subjects. There are major problems that can be brushed. Let's talk about "The Challenge Finale" (three episodes). This book has three books, corresponding to three difficulties: orange (introduction)-blue (enhancement)-yellow (expansion and promotion). Children with grades of100+120 can try the yellow one, and those with average grades can try it. But don't trust this too much. Generally, after junior high school, I will go directly to the third book. You haven't finished the first two books. If the third book won't be many, just look back. The foundation is consolidated by practicing difficult problems, and brushing simple questions is not long experience value and wastes time. Because only by practicing more difficult questions can we expose our imperfect problems, attract attention and make our specious concepts clear and accurate. Physics, chemistry, mathematics, and some chapters of biology, even English language. You can listen to online classes, but some people think that the content of online classes has nothing to do with the school. Think about it, if there is a connection, won't it show an advantage? Self-study is so hard that there may be only one way to go in the end. In addition, there are many calculations in junior high school physics, and the main calculations in junior high school physics are here. The Physics Competition Course of Little Green (Junior High School) edited by Zhang Jida is similar to May 3rd (Five-year College Entrance Examination, Three-year Simulation). One book is enough, and it will be repeated three times (Physics in the Grand Finale of 2020 Challenge (easy introduction, intensive training and intensive explanation)). A physics teacher, after comparing the compulsory questions of 53-year-old Little Green with Point Midpoint, thought Point Midpoint was the most difficult and the best. The middle school exam is easy,