Senior high school entrance examination math review plan
Part 1: The essay on the mathematics review plan of the senior high school entrance examination
This study after the winter holiday is very important for the students who will take the senior high school entrance examination. The dictionary is written by Fan Wenquan. I have compiled relevant materials for the examination plan of the senior high school entrance examination, and I hope to help you in your work and life.
The senior high school entrance examination has passed, and I am going to review the next year. I don’t know how the students are feeling now. Perhaps you are radical, perhaps fearful, perhaps steady, perhaps flustered, perhaps full of ambition, perhaps full of confusion. Either way, students, we should all be grateful to the third day.
Maybe you will feel in the future, the whole country is the most enjoyable time in our life, not because we are so free, how rich, but because we are young at this time, we have each other for friends and classmates, this kind of day Only for three years. Every day of the exam, although the study is very hard, the problem is very exhausting, but we know our goals, we also know that there will be teachers to help us achieve it as much as possible.
Therefore, everyone is not fighting for themselves. In the hard review every day, we have teachers, classmates, friends and family members, and everyone will be quite good. In the senior high school entrance examination, no one will let you go to the sea of fire. No one is forcing you to take your life. Reviewing is just hard work, but it will not feel terrible.
We think about the days when we are working hard with our classmates, and we are chasing each other's progress. Although we are nervous, we still laugh as usual during the class. They should not be competitors, but teammates. A set of papers was made to fight for fear, and I was afraid of falling behind others, for fear of doing less than others, and then for each question, everyone began to explain each other and ridicule each other. We hope to continually prove our strength by doing the problem and find the sense of accomplishment that is envied by others. The third day of life is like this, we hate it because he makes us have to be busy, we love it, because he makes us busy and together.
Ok, let's get down to business. For us, it's full of calculations now, and it's only 4 months less than time to review it. Then we can calculate it carefully. Until we touch it, we only have 2 months. This period of time is fleeting, but if we can grasp it well, it can be very helpful for us to improve our performance.
At this stage, students should pay attention to two points when reviewing. The first is the method, and the second is the mentality.
First, the method, the spring review, the basic knowledge is always something we have to pay attention to.
First, the basic knowledge is systematic.
When we see a question, we need to know what it is testing. We need to know clearly that each knowledge point comes from that part of the knowledge. Keeping in mind the key points, difficulties and error-prone points of each part of the knowledge can greatly reduce our error rate. Just like seeing the fractional equations, we must think of the roots. When we see the quadratic equations, we must think about counting △. Seeing the isosceles triangle must pay attention to the classification discussion and think of the three-in-one.
All the knowledge that the middle school has had in his part has the most basic part and the hard part to master. This corresponds to the different requirements of ABC in the requirements of our senior high school entrance examination. We must know the knowledge of each part, especially the geometry. Models, such as single tangent, double tangent, and triple tangent in the circle and tangent, similar non-vertical similarities, double vertical similarity, and three vertical similar models, we must know the chest, which will make us think of the problem Faster and clearer.
Furthermore, for the construction of isosceles triangles and right triangles, it is often necessary to discuss who is the waist and who is the bottom edge, which is the right angle side and which is the hypotenuse. The systematic approach here becomes particularly important. In order to ensure that the situation of the discussion is not lost, it must be divided according to certain principles, otherwise there may be duplicates and duplicates. Therefore, we must learn to summarize the basic questions, and summarize the basic knowledge points to ensure the smoothness and rigor of our questions.
Second, the basic knowledge is comprehensive.
Why this is important, because comprehensive knowledge can provide us with more ideas and a wider space for problem solving. For example, in the important line segments of the triangle, many students will say that the angle bisector, the middle line and the high, then there is actually a very important line segment - the median line. Although this line segment is not used together with the first three, it is often used in solving the triangle problem. If we do not realize the problem of the triangle middle line in the problem, then it is very likely that we can't make the auxiliary line.
Therefore, it is very beneficial for us to associate and apply knowledge points in a whole. For example, to solve the line length, what methods can be used, most students can say a lot, such as the Pythagorean theorem, similar triangles, congruent triangles, trigonometric functions, the nature of special triangles, etc., but such as area Methods, as well as constructing parallelograms, are often forgotten. This is the incomplete method of induction, and the latter is often the solution that may be used in the comprehensive problem, so the induction is quite important.
For example, to prove the problem of deriving the angle in the question, in addition to the relatively sensitive three-line octagonal, after we have learned similarity and congruence, we are often used to solve the relationship between the angle and the angle by using these methods. In fact, there are Two very important methods are most easily overlooked. One is "the inner angle of the triangle and =180°". The second is that "an outer corner of a triangle is equal to the sum of two inner corners that are not adjacent to him." This is a lot of classmates in the outer corner. Therefore, after the knowledge that has been learned has gradually become rich, we must be good at sorting out, sorting out each knowledge point we have learned, stringing it into a line, and hanging up a string of circles. Can know how many theorems there are, how many kinds of reminding common types of questions; lifting a series of right angles, to think of where to see right angles, what nature and role of right triangles. Therefore, everyone should comprehensively summarize the knowledge involved in each part of the test site, and each type of knowledge involves the problem-solving method. In this way, we can ensure that our ideas are broad and flexible, and we can't say that the methods we can think of can not be done in a life-and-death way.
Third, the basic knowledge is deepened.
This part is related to the comprehensive questions that follow us. Deepening, that is, the application and migration of basic knowledge. There is no problem in the senior high school entrance examination. The problem we are talking about is simply combining many simple knowledge points organically, or slightly deforming, or hiding a little. Then this part requires everyone to be flexible and skilled in applying our basic knowledge to answer. The premise of flexible use is the profound understanding of knowledge points. For example, the sum of the two sides is greater than the third side, and the difference between the two sides is smaller than the third side.
Many students can only think of using it to solve the scope problem, but in fact, in the comprehensive question, this part of the knowledge is more used to solve the line segment relationship and the most value problem. If you can have this kind of understanding, you can naturally think of the translation of a line segment or a parallelogram in the comprehensive question. For another example, the intersection of the image of the quadratic function and any line not only indicates the intersection of the two images, but also indicates that the binary equations they form have real roots.
For a right-angled triangle, he is not only one of our solution objects, but we also need to realize that it is a very good corner transformation tool. When a special angle occurs, we should be able to think of constructing a right-angled triangle and transform the condition. These are all methods that need to be understood after deepening the understanding of the basic knowledge after doing a certain amount of questions.
To sum up, why have we always emphasized our basic knowledge, because the mathematics of the whole country does not appear super-level questions or the knowledge that everyone has never learned yet solves the problem, it will not, all are separated by our basic knowledge. Or in groups, so master the basic knowledge, we will be able to do a good problem, the problem will be done, the small problem is fast, the big problem is stable.
In addition to paying attention to basic knowledge, we must also pay attention to strengthening our mathematical sensitivity during the review process. This includes observation and induction. The two triangles form the butterfly diagram, the two line segments form a right angle, and the three vertical lines appear in the square. Many ideas come from our careful observation. The inductive ability is highlighted in the last question of filling in the blanks and the 22nd question of the answer.
These questions are white in the test of everyone's observations, discovery, induction and ability to apply. In the case that the basic knowledge has been reviewed almost, we must have a keen eye and an inductive mind on these issues. The highlight of these two questions is change. We must be good at finding the same things in change, whether it is a change in graphics, a change in conditions or a change in numbers. There is always something invariable. Or the problem-solving idea is the same, or the auxiliary line drawing method is unchanged, or the relationship between the two quantities is constant, or the conclusion is unchanged.
We observe the graphs, observe the conditions, and observe the conclusions we have reached in the last question. There will always be a line to string them together, which will provide us with a good idea for the latter question. Therefore, in the spring review phase, training your observation ability and induction ability will find you faster and more accurately when you think about problems.
Let's briefly talk about the mentality. Regardless of whether your current grades are good or bad, our spring review is to ensure that your grades are stabilized while improving your grades. In addition to studying at home on weekdays, appropriate relaxation, chat with parents about things outside of study, work and rest. But be careful not to be disturbed by some other trivial things.
In the third day, we are experiencing the process of continuous maturity of the mind. At this time, everyone has their own ideas for many things, so there will be friction and touch in life, there will be all kinds of joys and sorrows, no matter what kind of, Don't let those influences that affect your review time. Because all things can wait for the future to solve, but the test is not acceptable. At this time, we must begin to learn to be responsible for ourselves. Anyone who wants to be divided and prioritized must be able to adjust their emotions.
For the problem, we must keep a strong fight. In the third day of the year, the whole class saw that the new paper was done like a tiger, because everyone wanted to prove that they were strong and wanted to enjoy the envy of others. And the gaze of praise, so we are greedy in the third day, nothing bad. When I am at home, I think that I can use more than one or two classmates in the "dark". Maybe I can go further from the expected school, so it is best to have such fighting spirit.
To sum up, the review in the spring has been until the exam. The most important thing for the students is to master the basic knowledge, implement each knowledge point in the textbook, do more questions, and summarize more, especially over the years. A touch and the exam questions must be seen through. Follow the teacher in the school, usually exchange ideas with the students, go home and summarize. Need to emphasize that at this stage we do the problem, the weight is also heavy, do not rush to do the problem, must be as much as possible under the premise of ensuring the correct rate, especially for the weak links, we need to continue to strengthen. So for this part, first of all, we can't give up on ourselves, because it is easier to raise the level to the middle level or above, so don't give up on the meager, and of course don't make a quick goal to set too high a goal.
All in all, the review task in spring is still quite arduous, but the results are often more obvious. The first-class test is basically the weather vane of the senior high school entrance examination, so take good care of the two months, implement the foundation, exercise the ability, adjust the mood, adjust the mentality. For the final goal of the country, forge ahead!
Chapter 2:
First, the first round of review
1. The form of the first round of review: “Combating the context of knowledge and building a knowledge system”-----
Purpose: After three levels
1 over memory
Must be done: on the basis of accurate understanding, keep in mind all the basic concepts, formulas, theorems, inferences and so on.
2 over the basic method off
Need to do: Under the basic problem type as the key, understand and master the basic problem solving methods in middle school mathematics, such as: matching method, factorization method, changing element method, discriminant method, undetermined coefficient method, construction method, counter-evidence method, etc.
3 over basic skills off.
It should be done: whether it is a typical question, a basic question, or a comprehensive question, the knowledge points to be examined should be clearly known, and the corresponding problem solving method can be found.
Mission: Systematization of knowledge
At this stage of teaching, the contents of the book are summarized and organized to form a structure.
1 number and algebra
Divided into three large units: numbers and equations, equations and inequalities, functions.
2 space and graphics
Divided into 3 large units: geometric basic concepts, flat graphics, solid graphics
3 statistics and probability
Divided into 2 large units: statistics and probability
2, the first round of review should pay attention to the problem
Must be solid and solid
The test questions in the middle of the exam are difficult: medium: easy = 1: 2: 7 ratio, the basic points account for 70% of the total score, so you must "accurately understand" and "skilled" basic mathematics knowledge, when applying basic knowledge Be proficient, correct and fast.
Must drill deep into the textbook, can't break away from the textbook
According to the design principle of the middle test paper, the basic questions are all questions for sending points. There are many basic questions that are the original questions or modifications on the textbook.
Master the basics, we must understand from the perspective of understanding
The study of mathematics knowledge must establish the ability of logical thinking. Only the understanding of the basic knowledge can be inferred. Relatively speaking, “sea tactics” are not applicable at this stage.
Second, the second round of review
1. The form of the second round of review: “emphasis on key points, comprehensive improvement”----practice thematic, thematic regularization
Purpose: to integrate all the knowledge points on the syllabus
1 Specialized training
Divide all the knowledge points required in the syllabus into a number of topics, review them according to the topics, and carry out intensive exercises that are targeted, typical, hierarchical, and crucial.
2 highlight key points, difficult points and hot content
On the basis of special training, it is necessary to highlight key points, seize hot spots, and break through difficulties. According to the law of the examination of the senior high school entrance examination, the annual key points, difficulties and hot topics are similar.
Mission: To build mathematical ideas and develop mathematical abilities
Under the premise of understanding all the basic knowledge of mathematics in the middle stage of the country, we should strive to:
1 The idea of establishing functions and equations
From the perspective of the function, understand the number, function, equation, algebraic form and the corresponding transformation relationship with the image.
2 improve the ability of mathematical reading analysis
Learn to describe problems in mathematical language and restore the mathematical description of the problem.
2, the second round of review should pay attention to the problem
The division of the topic should be reasonable
The criteria for the topic are the closeness of the relevant knowledge points. The topic should be representative and targeted, and should not be comprehensive; always focus on hot spots, difficulties, and key points, especially the content of the exam.
Guarantee a certain amount of exercises
The so-called "practice makes perfect", at this stage, all we have to do is to integrate, consolidate, improve and improve the key knowledge points. Be as close as possible to the various typical questions.
Pay more attention to and think about the law in a timely manner
The knowledge points in each topic are inextricably linked, and the knowledge points between different topics will also be related and merged. It is necessary to pay attention to the reflection after solving the problem and summarize the law.
Third, the third round of review
1. The form of the third round of review: “simulation training, check for missing traps”
Objective: Break through the non-knowledge barriers of the scores of the senior high school entrance examination
1 Study the real questions of the middle school exams over the years, choose the simulation questions with high gold content
Analyze the questions in the past years, and master the test sites. Choose the gradient design is reasonable, based on the high school entrance examination and the simulation questions slightly higher than the difficulty of the entrance examination.
2 adjust your own state of mind
The scores of the exams are not only determined by the mastery of the knowledge points. In the real examination room, the psychological state and the heartfelt factors will have a great impact. Therefore, in the simulation training, it is necessary to strictly follow the time of the actual exam and related Ask to train.
2, the third round of review should pay attention to the problem
Checking for missing traps by doing simulation questions
The knowledge points required by the senior high school entrance examination syllabus can be described as numerous. After the first two rounds of review, the final need to use the simulation questions to check whether there are missing knowledge points.
Overcome bad test habits
The examination questions in the senior high school entrance examinations have corresponding judgment rules. In order to optimize the answering ideas and steps according to the judgment rules, it is necessary to avoid the loss caused by the reasons such as “not careful examination, error answering and incorrect answering”.
Summarize appropriate test-taking skills
In the actual examination process, completing a topic does not have to be based on the application point of knowledge. For a lot of typical questions, there are corresponding problem-solving skills, which saves the time of the questions and ensures the correct results.
Chapter three:
The ninth grade general review stage is the final stage of systematic study for middle school students, and is also the sprint stage for nine years of students to take the graduation and entrance exams. How to pass a review of a stage, so that students can better grasp the knowledge system of the whole national stage learning, correctly grasp and flexibly use each knowledge point, and form a strong ability to analyze and solve problems. This requires us to solve the problems in review: time and efficiency; knowledge combing and innovation ability; review and teaching and research. Handling and solving these problems is the key to improving the efficiency of review. At the same time, due to the tight teaching time and heavy tasks, how to improve the quality and efficiency of mathematics review in the new curriculum standard has become a problem that every mathematics teacher in graduating class must face. The following is a combination of the actual situation of our students, the whole review work is divided into four stages, according to the students' cognitive rules, step by step, systematic review.
The first stage: knowledge combing to form a knowledge network
In recent years, the middle school entrance examination mathematics papers have arranged a large proportion of questions to examine the "double base". The basic knowledge of the whole volume has a wide coverage and a low starting point. Many of the questions are derived from textbooks. Prototypes can be found in textbooks, and some are textbook prototypes. Process, combine, extend and expand. In the review, it is necessary to closely follow the teaching materials, consolidate the foundation, and at the same time carry out the variant training on the typical problems, to achieve the purpose of inferences and triads. To achieve the same change, improve the ability to respond. At this stage of review teaching, we would like to combine the following elements in the "National Middle School Mathematics Curriculum Standards": according to "Number and Formula", "Equation and Inequality", "Function and Image", "Statistics and Probability", The eight units of "Linear", "Angle Triangle Function", "Circle", "Graphics and Transformation" are systematically reviewed. The supporting exercise is the “Guide to the Examination for the Senior High School Examination”. After reviewing each unit, a unit self-test is performed.
Content and timing of the first phase of review
February 23 - March 4: Review of "Numbers and Formulas"
The main contents are: rational number, real number, algebraic form, integral form, factorization, fraction, quadratic
March 5th - March 14th: Review of Equations and Inequalities
Main contents: equations and equations, inequalities and inequalities
March 15th - March 25th: Review of "Functions and Images"
The main contents are: plane rectangular coordinate system, function, one-time function, inverse proportional function, quadratic function
March 26th - April 1st: Review "Statistics and Probability"
The main contents are: statistics, probability, subject learning
April 2nd - April 16th: Review "Linear"
The main contents are: preliminary understanding of graphics, triangles, parallelograms, special parallelograms, trapezoids, similar shapes
April 17th - April 22nd: Review "Angle Triangle Function"
The main contents are: acute angle trigonometry, solution right triangle
April 22 - April 30: Review of "The Circle"
The main contents are: the nature of the circle, the positional relationship related to the circle, the regular polygon and the circle
May 1st - May 8th: Review "Graphics and Transformation"
The main contents are: view and projection, symmetry of graphics, translation of graphics, transformation process of graphics:
Review process: “double base” combing → example introductory → basic training → unit detection → analysis and comment → correction and consolidation
Combination of lectures and exercises: In the system review, we strive to achieve intensive refinement, combination of practice and practice, grasping the details, breaking through the difficulties and difficulties, and improving the students' ability.
Five unification: unified planning, unified progress, unified training, unified data, unified testing. We will achieve unity and comprehensive improvement.
The second stage: special review
1. Review form: If the first stage is the basis of the general review, the focus is on the double-base training, then the second stage is the extension and improvement of the first stage review, which should focus on cultivating students' mathematical ability. The second phase of review time is relatively concentrated. On the basis of the review of the first phase, the heightening is carried out and the difficulty is appropriately increased. The second phase of the review focuses on the hotspots, difficulties, and key contents, especially the key points; The formation of the mathematical methods, this requires the full play of the teacher's leading role, can be a special review, according to the characteristics of the propositions of the national middle school mathematics graduation and entrance examination papers, carefully select some novel, representative trapezoids for the topic Training, such as "equational synthesis problems", "applied function questions", "inequality application questions", "statistical application questions", "geometric synthesis problems", "exploratory application questions", "open questions" , "Reading comprehension questions", "program design", "hands-on operation" and other issues so that students are familiar with and adapt to these types of questions. Special training.
2, several issues that should be noted:
The second phase of the review is no longer based on sections, chapters, and units, but on the topic.
The choice of topics should be accurate and the time should be reasonable. The quasi-inaccuracy of the topic selection depends mainly on the study of the syllabus and the examination questions. The topic should be representative, and should not be comprehensive; the topic should be targeted, focus on hotspots, difficulties, and key points, especially the content of the exams, and arrange the time according to the characteristics of the topic. The important part must work hard and waste time. Willing to invest energy.
Focus on reflection after solving the problem.
Appropriate elevation of the topic review. The topic review must have certain difficulty. This is determined by the characteristics of the second phase review. There is no certain difficulty. It is difficult for students to improve their ability and improve their ability. This is the second phase of review. But we must take into account various factors to grasp a degree.
The focus of the topic review is to reveal the process of thinking. Can not add the amount of college students' practice, but can't push the students to the sea; can't rush to catch up with the progress, and the progress here is the main reason for the "drug".
As always, we will pay attention to the unity and cooperation between teachers, strengthen collective lesson preparation, and share resources.
The third stage: simulation intensive training
At this stage, the focus is on improving students' comprehensive problem-solving skills, training students' problem-solving strategies, strengthening problem-solving guidance, and improving student abilities. From 2008, the examination papers, comprehensive exercises, and self-edited simulation papers were selected for practice. Each exercise requires students to complete independently, and the teacher promptly corrects and comments. There should be a few issues to be aware of: the simulation questions must have the characteristics of the simulation. The arrangement of time, the amount of questions, the proportion of low, medium and high-grade questions, the test paper type is subject to the "Study of the Senior High School Examination", and the overall difficulty control should be close to the middle test questions. Induct the missing points of student knowledge and do targeted training. Come out and talk about the relationship with the exam. Avoid the commentary method of the topic. Leave students with a certain amount of error correction and digestion time.
The fourth stage: aftertaste practice
This stage is a free review, allowing students to adjust their mentality, check for missing information on their own learning conditions, and appropriate “liberation” of students, especially in the time schedule, after a period of examinations, exams, exams, almost all students The mind and body will feel exhausted. If you bring this exhausted state to the entrance examination, it will definitely be a poor result. However, it should be noted that liberation is not a relaxation, and students must be guaranteed to have a moderately tense state of mind. Adjust the student's biological clock, try to adjust the time of study and thinking to match the time of the test. At the same time, building student confidence is also the unshirkable responsibility of every teacher at this stage.
In short, in the general review of mathematics in the ninth grade, it is essential to explore the teaching materials and lay a solid foundation; the process is the premise; the selection of exercises, the quality and burden reduction are the core; the intensive training and the development ability are the goals. Only in this way can we develop the student's thinking space with one problem and one piece, and truly train the students' comprehensive ability and standard, and greet the senior high school entrance examination in a good state.
Chapter 4:
Adjacent to the entrance examination, doing a good job in the ninth grade mathematics review class plays an important role in improving the quality of teaching in a large area. Through reviewing, the following objectives should be achieved: systematize and structure the knowledge, and let students connect the mathematics knowledge of the country for three years into an organic whole, which is more conducive to students' understanding; more practice and practice, consolidate basic skills; Guide students to summarize and summarize the methods of solving problems; do a good job in comprehensive problem training to improve students' ability to comprehensively apply knowledge analysis problems. In order to achieve this in a short period of time, the following review plan has been developed:
First, review measures.
1. Seriously study the teaching materials, the requirements of the curriculum standards, thoroughly understand the examination outline, and determine the focus of review. To determine the focus of review can be considered from the following aspects: (1). According to the teaching requirements of the teaching materials, four basic requirements are proposed: understanding, understanding, mastery and mastery. This is the basis and criteria for determining the focus of the review. (2). Be familiar with the status and role of each knowledge point in mathematics textbooks in the country; (3). Familiar with the types of test questions in recent years, and the situation of exam reform.
2. Correctly analyze the student's knowledge and recent mentality. It is a qualitative analysis of the situation mastered in the usual teaching; it is to conduct a test and talk to each other. The students are well classified and firmly grasped in their hands.
3. Develop a detailed and feasible review plan based on the knowledge focus, the student's knowledge and the general review time.
Second, earnestly grasp the training of "double base".
The basic knowledge and basic skills of mathematics in China are the basic materials for students to perform mathematical operations and mathematical reasoning, and are the cornerstone for the formation of mathematical abilities. First, we must closely follow the textbooks, and continue to improve and focus on the basis of the requirements of the textbooks. The second is to highlight the new features of the review to mobilize the enthusiasm of students and improve the efficiency of review. From the perspective of review arrangements, the review of basic knowledge relies mainly on systematic review. In each chapter review, in order to effectively enable students to clarify the structure of knowledge, students are required to fill in the gaps according to their actual situation. Free review. Students are required to focus on understanding concepts, clarifying definitions, and mastering basic methods in the review, and then let students through the appropriate training to deepen the understanding of concepts, the grasp of conclusions, the use of methods and the improvement of abilities.
Third, do a good job in the textbook examples, the classification of exercises, the teaching of variants.
In the mathematics review class teaching, excavating the functions of examples and exercises in the textbook is not only a need to improve the quality of teaching in a large area, but also a means to deal with the examination. Therefore, in the review, according to the purpose of teaching, the focus of teaching and the actual situation of students, analyze and classify relevant examples, summarize the rules of solving problems, and improve the efficiency of review. For exemplifying exercises with variability, students are guided to carry out variant training, so that students can perceive mathematics methods from various aspects, improve students' ability to comprehensively analyze problems and solve problems. In the explanation, we can start from the following aspects: (1). Find other solutions; (2) Change the topic form; (3). Exchange the conditions and conclusions of the topic; (4) Change the conditions of the topic; (5) Further generalize and extend the conclusion; (6). Different questions; (7). Analogy editing.
Fourth, implement the training of various mathematical ideas and mathematical methods to improve the mathematics of students.
Understanding the mastery of various mathematical ideas and methods is a prerequisite for the formation of mathematical skills and skills to improve mathematics. Through different forms of training, students are proficient in important mathematical thinking methods.
1. Take different forms of training. On the one hand, we should change the question type frequently: fill in the blanks, multiple choice questions, short answer questions, proof questions, etc., so that students realize that although the questions have changed, the essential methods for answering the questions have not changed, enhancing the interest of student training, another Aspects change the structure of the topic, such as changing the problem, changing the conditions, etc.
2. Properly conduct problem group training. The special training of a method with a certain time can strengthen this method, and the students are impressed and mastered faster.
V. Specific time schedule and review content
,The first stage:
Basic knowledge topic - comprehensive review of basic knowledge and strengthening basic skills training
The purpose of this stage of review is to enable students to fully grasp the basic knowledge of mathematics in the country, improve basic skills, and be comprehensive, solid, systematic, and form a knowledge network.
1. Pay attention to textbooks and review the system.
2. Organize review according to the knowledge section.
3. Emphasis on the understanding of basic knowledge and the guidance of basic methods.
4. Emphasis on the understanding and application of mathematical ideas. Such as the idea of the function, the idea of the equation, the idea of combining numbers and shapes.
,second stage:
Breakthrough in the key questions of the senior high school entrance examination-------Comprehensive use of knowledge to strengthen capacity development
The purpose of this stage of review is to enable students to link the knowledge in each lecture and to use them in a comprehensive manner. Inspire students to take the initiative and enthusiasm of review, guide students to have a targeted review, according to the individual's specific circumstances, check and fill the gap, do knowledge classification, problem solving methods, and deepen the memory on the basis of the formation of knowledge structure.
Middle school entrance examination
1. Prepare or select a good test paper: The test paper should be as close as possible to the requirements of the Chinese test paper in terms of the amount of the question, the knowledge coverage, the difficulty, the knowledge of the examination, the key points, the proportion of each part of the knowledge, and the point arrangement.
2. Carefully review the test papers: A careful review of the test papers can effectively identify problems in student learning.
3, do a good job of commenting: correct problems in time.
4. Do an analysis of the mathematics test papers of the Anhui Provincial Senior High School Examination in the past three years
Student free review and pre-test guidance
In short, in the general review of mathematics in the middle school, according to the self-review plan and the school's coordinated arrangement, down-to-earth, step by step, I believe that we can achieve better results.
Chapter 5:
The junior high school graduating class has a tight review time, heavy tasks, and high requirements. How to improve the quality and efficiency of mathematics review is a problem that every math teacher in graduating class must face. The following is a review of the general review of mathematics in the third year of our school in recent years, and talk about the review plan for the junior high school graduating class.
First, review the first round of the first round of review
1. The first round of review in the form of the first round of review is to "go through three levels"
Pass the memory off. It is necessary to remember to keep all the formulas, theorems, etc., and without accurate and correct memory, there is no good result.
The basic method is off. For example, the undetermined coefficient method finds the quadratic analytical formula.
Pass the basic skills off. For example, if you give a question, you find its solution method, that is, know what method to use, then you have the ability to understand the problem. The basic purpose: the systematization of knowledge, the practice of thematic, the regularization of the topic. In this stage of teaching, the contents of the book are summarized and grouped to form a structure, and the algebra part can be divided into six units: real numbers, algebraic equations, equations, inequalities, functions, statistical preliminary, etc.; The part is divided into six units: geometric basic concepts, intersecting lines and parallel lines, triangles, quadrilaterals, similar triangles, solution triangles, circles, and so on. The supporting exercises are based on the “National-Chinese Double-Based Optimization Training”. After reviewing each unit, we will conduct a unit test and pay attention to filling the work. 2, the first round of review should pay attention to several issues must be solidly solid foundation. This year's exam questions are difficult: the ratio of medium: easy = 1:2:7, the base scores 70% of the total score, so that each student can achieve the "understanding" and "mastery" requirements for mathematics knowledge in the country. Be skilled, correct and quick when applying basic knowledge. Some of the basic questions in the senior high school entrance examination are the original questions or transformations in the textbooks. You must deepen the teaching materials and never leave the textbooks. Do not engage in sea tactics, elaborate and concise, give rise to the opposite, touch the analogy. The "large amount of practice" is relatively speaking, it is not blind big, nor blind practice. It is a targeted, typical, hierarchical, and intensive practice. Pay attention to the climate. The first round of review is winter and spring. Everyone knows that winter and spring are the golden season of learning. After May, the weather is very hot and will affect learning to a certain extent. Regularly check the homework completed by the students and provide timely feedback. Teachers should use the combination of centralized teaching and individual counseling for the problems in homework, practice, and test, or infiltrate the problems in the future teaching process to feedback, correct and strengthen, which is conducive to the improvement of teaching quality on a large scale. Actually, for all students, teaching students in accordance with their aptitude, that is, teaching work at different levels, comprehensively improve the efficiency of review. The classroom review teaching implements the method of “low starting point, multiple induction, and quick feedback”. Focus on ideological education, and motivate them to learn the self-confidence of mathematics and create conditions for students to learn to experience success. Should pay attention to the cultivation of the top. In the process of solving their problems, they are required to take shortcuts, surprises, creativity, and focus on logical relationships to solve the problem of completeness and perfection in order to improve the excellent rate of the senior high school entrance examination. For students with good abilities, they will develop interest groups outside the classroom to develop problem-solving skills, increase flexibility, and make them "sharp".
Second, the second round of review the second round of review
1. The second round of review form If the first stage is the basis of the general review, the focus is on the double-base training, then the second stage is the extension and improvement of the first stage review, which should focus on cultivating students' mathematical ability. The second round of review time is relatively concentrated. On the basis of a round of review, the heightening is carried out and the difficulty is appropriately increased. The second round of review focuses on the hotspots, difficulties, and key contents, especially the key points; pay attention to the formation of mathematical ideas. With the mastery of mathematical methods, it is necessary to give full play to the leading role of teachers. Special review can be carried out, such as "equational comprehensive problem", "applied function problem", "inequality, application", "statistical application", "geometric synthesis problem", , , "exploratory application" Open questions such as "reading, solving, solving problems", "plan design", "hands-on operation" and other issues so that students can be familiar with and adapt to such questions. Alternate practice "Red Book of the Senior High School Entrance Examination".
2, the second round of review should pay attention to several issues
The second round of review is no longer based on festivals, chapters, and units, but on the topic.
The division of topics should be reasonable.
The choice of topics should be accurate and the time should be reasonable. The quasi-inaccuracy of the topic selection depends mainly on the study of the syllabus and the examination questions. The topic should be representative, and should not be comprehensive; the topic should be targeted, focus on hotspots, difficulties, and key points, especially the content of the exams; the time should be arranged according to the characteristics of the topic, and the important points should be worked hard, not to waste time. Willing to invest energy.
Focus on reflection after solving the problem.
Due to the special knowledge of the second round of review, students are far away from the basic knowledge to some extent, which will cause different degrees of knowledge forgetting. The best way to solve this problem is to use the knowledge of the subject.
Appropriate elevation of the topic review. The topic review must have certain difficulty. This is determined by the characteristics of the second round of review. There is no certain difficulty. It is difficult for students to improve their ability and improve their ability. This is the second round of review. But we must take into account various factors to grasp a degree.
The focus of the topic review is to reveal the process of thinking. Can not add the amount of college students' practice, but can't push the students to the sea; can't rush to catch up with the progress, and rushing to progress here is the main reason for the "confusing".
Focus on group preparation and sharing of resources.
Third, the third round of review of the third round of review
1. The third round of review form The third round of review is to simulate the comprehensive training of the senior high school entrance examination, check and fill the gap, which is like the acceptance stage of a construction project, training before the test. Study the questions of the middle school exams over the years, the skills of answering questions, the mentality of the test center, and the ability to play on the spot. The alternate exercises include "Top Sprint", "Nine-District City Simulation Test", and Fuzhou City Entrance Examination Questions over the years.
2, the third round of review should pay attention to several issues
The simulation questions must have the characteristics of simulation. The arrangement of time, the amount of questions, the proportion of low, medium and high-grade questions, the control of the overall difficulty, etc. should be close to the middle test questions.
The design of the simulation questions should have a gradient, and the high school entrance examination should be higher than the senior high school entrance examination.
The review should be timely, hot and iron, and should not be tested in duplicate.
The rating is awkward. You can't get it, you can't make a mistake. If you answer the wrong question, try not to score points. Let the students with harsh ratings educate students, so don't lose points.
Add a comment to a particular question. Some students have made mistakes in certain questions. Such questions can no longer occupy the time in the class. The problems of individual students are explained in the form of comments in the test paper.
Detailed statistics on the marginality of the edge. This is the main basis for the content of the class. Because the learning situation of the students is both representative and the key to improving the grades of the class. The class should talk about the problems with more marginal errors. Statistics is the key link.
Induct the missing points of student knowledge. Accumulate material for checking for missing.
Handle the relationship between the comment and the exam. Each question is usually two hours of time, four classes of time to comment, that is to say, a question generally requires four classes of comment time.
The questions to be selected should be less, more refined, and more targeted. The basis for the selection is the marginal birth loss. Generally, one-third of the edges are wrong in the classroom.
Based on a "transparent" word. Once a question is decided, there are four aspects of work that must be done. One is to be thorough; the second is to start; the third is to keep up with a sufficient amount of tracking exercises; Do not pay attention to all aspects of the comment. Don't be tempted to comment on water, and avoid commenting on the topic.
Leave students with a certain amount of error correction and digestion time. The content that the teacher has said, the students have to sort it out; the problem that the teacher did not explain is correcting the mistakes; the basic knowledge related to it should be memorized and then consolidated. Teachers should make full use of this time to solve individual problems of individual students.
Appropriate “liberation” of students, especially in terms of time. After a period of examinations, examinations, and examinations, almost all students will feel fatigued. If this state of fatigue is brought into the examination room, it will definitely be a poor result. However, it should be noted that liberation is not a relaxation, and students must be guaranteed to have a moderately tense state of mind. Practice has shown that moderate tension is the best state of normal or extraordinary performance.
Adjust the student's biological clock. Try to adjust the time of study and thinking to match the time of the test.
Mentality and confidence adjustment. This is the responsibility of every teacher, and at this moment the role of confidence has become the biggest.
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