March 2005

The general review of junior high school mathematics is the key link to systematically improve and deepen the knowledge learned after completing the junior high school mathematics task for three years. Paying attention to and earnestly completing the task at this stage is not only conducive to consolidating, digesting and summarizing the basic knowledge of mathematics, improving the ability to analyze and solve problems, but also conducive to the practical application of employed students. At the same time, for students with poor learning foundation, it is a kind of re-learning to find out the gaps and master the contents of teaching materials. Therefore, in order to gradually implement the general review, this book is specially formulated.

First, stick to the outline and carefully prepare for review.

The content of junior high school mathematics is complex, and the basic knowledge and skills are scattered in the three-year textbooks. Students often learn new things and forget old things. Therefore, we must carefully prepare for the review according to the contents stipulated in the outline and the systematic knowledge points. The compilation of the course must conform to the students' reality. We can use the problem-solving method of basic knowledge, according to the students' practical application knowledge at ordinary times, and compile a test that permeates the main knowledge points, so that students can complete it independently within the specified time. Then determine the key points according to the contents that appear in the exam that are difficult for students to understand, have a high forgetting rate, and are easy to be confused and make mistakes. After the review, we should make a good choice of examples in the review class, and hand over the review with exercises to the students, asking them to make specific review plans and determine their own goals according to their own learning reality.

When we organize the whole group of teachers to write materials, we revolve around the following three ideas:

1. comprehensiveness Although we dare not say that "a book is in hand, there is nothing else to ask for", we firmly believe that it will help you more or less. Because we revolve around: ① careful analysis of exam hotspots; 2 Carefully organize knowledge points; ③ Dynamic analysis of 2005 senior high school entrance examination and other compiling ideas. At the same time, our preparation arrangement is based on the following principles: operation-oriented; Mainly based on the senior high school entrance examination; The concept of serving students, etc., according to the principle of designing teaching plans in a book, let our teachers have a very comprehensive reference value when using it.

2. operability In the whole review, we set up three stages: ① basic knowledge accumulation stage: the difficulty of the topic is about 70% of the basic questions of the senior high school entrance examination; (2) Special knowledge arrangement stage: the difficulty of the topic is about 20%-30% of the topic applied for in the senior high school entrance examination; (3) actual combat exercise stage (with the help of an answer to the senior high school entrance examination paper to guide the reading skills of the paper)

3. Interactivity When writing this review book, in order to fully reflect the students' dominant position and truly make them the masters of learning, we designed four special columns: self-diagnosis, alarm bells ringing, teacher-student dialogue and motor garden, so that our teachers can find non-intellectual factors and other curriculum resources when using it.

4. New Data All the exercises in our review books come from ① selecting 50% of the excellent senior high school entrance examination questions in 2004, ② selecting 20% from other relevant materials, and ③ about 30% of the exercises were originally written by our teachers.

Second, trace the source and systematically master the basic knowledge.

In the first stage of the general review (February 21-March 27), it is first necessary to emphasize that students should systematically master the basic knowledge and skills in textbooks and make them better. Put forward clear requirements for students: ① Basic concepts, laws, formulas and theorems should not only be described correctly, but also be used flexibly; (2) The assigned exercises must be passed one by one; The review questions after each chapter are more comprehensive, requiring most students to complete them independently, and a few students with difficulties can complete them under the guidance of the teacher.

Third, systematic arrangement to improve students' review efficiency.

The second stage of the general review (March 27th-April 20th) should particularly reflect the leading role. The junior high school mathematics knowledge will be systematically sorted, classified, classified and reorganized according to the mutual connection and transformation of basic knowledge, and become a systematic and organized knowledge point. For example, algebra in grade three can be divided into function definition, positive and negative proportional function and linear function; Quadratic equation, quadratic function, quadratic inequality; Three parts of statistics. Geometry is divided into four 13 lines: the first line is 1 line with right triangle as the main body. The second similar shape is divided into three lines: (1) proportional line segment; (2) similar triangles's judgment and nature. (3) Determination and properties of similar polygons; The third circle contains seven lines: (4) the nature of the circle; (5) straight lines and circles; (6) circle and circle; (7) Angle and circle; (8) Triangle and circle; (9) Quadrilateral and circular; (10) polygons and circles. The fourth block is a drawing problem, which has two lines: (1 1) making a circle, making the internal and external common tangent of the circle, etc. (12) point trajectory. This kind of induction can be done by teachers and students under the guidance of classes with little difference in degree and good quality, that is, students can "make the finishing point". The middle school and the following classes adopt the methods of classification, comparative explanation, block exercises and comprehensive exercises, so that students can really master the contents of junior high school mathematics textbooks.

Fourth, pay attention to practice and strive to improve the test speed.

After sorting out in blocks and mastering the contents of the teaching materials, the third stage of comprehensive review (April 20-May 20) began. In this stage, in addition to paying attention to the key chapters in the textbook, it is mainly based on repeated exercises to give full play to the students' main role. Usually, comprehensive exercises based on chapter comprehensive exercises and systematic knowledge are given priority to, and the weight of simulation questions is appropriately increased. For me, the main task at this time is to carefully select exercises, carefully correct the exercises completed by students, make comments in time, find out the missing parts, consolidate the review effect and achieve the goal of self-improvement. Two problems should be paid attention to when choosing comprehensive exercises: First, the selected exercises should be purposeful, typical and regular. Second, exercises should be enlightening, flexible and comprehensive. For example, the proof and application of the angle bisector theorem, the application of the angle of a circle, the central angle of a circle, the central angle of a chord, the power theorem of a circle and the projective theorem in the proof of a circle are all comprehensive and important topics that should be mastered, and we should grasp and produce results.

Five, leak detection, to achieve the best effect.

After reviewing the three theories, prepare for the fourth round of review (May 21-June 13). At this stage, we mainly pay attention to two points: 1, checking for leaks and filling gaps, "It's not too late to mend." At this stage, it is planned to hold a "face-to-face meeting between teachers and students in Grade Three" to answer students' puzzles in solving math problems, and our math teacher in Grade Three will answer them on the spot. After the meeting, sort out the materials and distribute them to students, so as to better master the skills of solving mathematical problems. (This link may also be advanced to the end of the second round of review, that is, in early April) 2. Psychological adjustment.

We firmly believe that as long as we work hard, we will reap the joy of harvest.

As long as there is a field of hope in my heart,

Efforts will eventually usher in a green.

General review plan for junior high school mathematics entrance examination

The graduating class of grade three always has tight review teaching time, heavy tasks and high requirements. How to improve the quality and benefit of the general review of mathematics is a problem that every graduating math teacher must face. Let's talk about the review plan for this year's junior high school graduating class in combination with the general review teaching of junior high school mathematics in recent years.

The first round of review (the third week ~ quality inspection)

1, the first round of review form

The purpose of the first round of review is to "pass three levels": (1) pass the memory level. We must remember all the formulas, theorems, etc. Without accurate memory, it is impossible to have a good result. (2) Through basic methods. For example, use the undetermined coefficient method to find the quadratic resolution function. (3) basic skills. For example, if you are given a problem and you find a solution to it, that is, you know how to use it, then you are considered to have the skills to understand it. Basic purposes: systematization of knowledge, specialization of practice and regularity of specialization. In this stage of teaching, the contents of the book are summarized and grouped to form a structure, and the algebraic part can be divided into six units: real number, algebra, equation, inequality, function and preliminary statistics. Geometry is divided into six units: basic concepts of geometry, intersecting lines and parallel lines, triangles, quadrilaterals, similar triangles, right triangles, circles, etc. Supporting exercises are mainly based on "double basic training in junior high school". After reviewing each unit, conduct a unit test and pay attention to the work of filling in the gaps.

2. Several problems that should be paid attention to in the first round of review.

(1) Be sure to lay a solid foundation. In this year's senior high school entrance examination, the difficulty ratio: medium: easy = 1: 2: 7, and the basic score accounts for 70% of the total score (150), so that every student can meet the requirements of "understanding" and "mastering" junior high school mathematics knowledge, and can apply basic knowledge skillfully, correctly and quickly.

(2) Some basic questions in the senior high school entrance examination are original or revised questions in the textbook, so we must dig deep into the textbook and never leave it behind.

(3) don't engage in sea tactics, concentrate on refinement, and draw inferences from others. "A lot of practice" is relative, it is not blindly big, nor blindly practice. This is a targeted, typical, hierarchical and to the point intensive exercise.

(4) pay attention to the climate. The first round of review is in winter and spring. As we all know, winter and spring are the golden seasons for learning. After May, hot weather will affect study to some extent.

(5) Check students' homework regularly and give timely feedback. Teachers can feedback, correct and strengthen the problems in homework, exercises and tests by combining centralized teaching with individual counseling, or infiltrating problems into the later teaching process, which is conducive to improving the teaching quality in a large area.

(6) Starting from reality, facing all students, teaching students in accordance with their aptitude, that is, carrying out teaching work at different levels, and comprehensively improving review efficiency. Classroom review teaching adopts the method of "low starting point, multi-induction and fast feedback".

(7) Pay attention to ideological education, stimulate their self-confidence in learning mathematics well, and create conditions for students with learning difficulties to experience success. (12) Pay attention to the cultivation of top students. They are required to take shortcuts, be creative, pay attention to logical relations, and strive to solve problems completely and perfectly in order to improve the excellent rate of senior high school entrance examination. For students with good acceptance ability, we should develop interest groups after class, cultivate problem-solving ability and improve flexibility, so as to take the lead.

Second, the second round of review (May)

1, the form of the second round of review

If the first stage is the basis of general review, and it is the key point, focusing on double-base training, then the second stage is the extension and improvement of the first stage review, and it should focus on cultivating students' mathematical ability. The second round of review time is relatively concentrated. On the basis of the first round of review, we should improve our level and increase the difficulty appropriately. The second round of review focuses on hot spots, difficulties and key contents, especially the key points; Paying attention to the formation of mathematical thoughts and the mastery of mathematical methods requires giving full play to the leading role of teachers. We can review special topics, such as Equation-based Synthesis Problem, Application Function Problem, Inequality Application Problem, Statistical Application Problem, Geometry Synthesis Problem, Exploratory Application Problem, Open Question, Reading Comprehension Problem, Scheme Design, and Hands-on Operation, so that students can be familiar with and adapt to this kind of questions. Practice the little red book for senior high school entrance examination after class.

2. Several problems that should be paid attention to in the second round of review.

(1) The second round of review is no longer based on sections, chapters and units, but on topics.

(2) The division of special topics should be reasonable.

(3) The topic selection should be accurate and the arrangement time should be reasonable. The accuracy of topic selection mainly depends on the study of syllabus (and curriculum standards) and the examination questions in middle school. The topic should be representative, not comprehensive; The topic should be targeted, focusing on hot spots, difficulties and key points, especially the content of the senior high school entrance examination; Arrange time according to the characteristics of the topic, work hard at important points, and be willing to invest energy at the expense of "wasting" time.

(4) Pay attention to the reflection after solving the problem.

(5) replace knowledge with questions. Because of the particularity of the second round of review, students are far away from the basic knowledge to a certain extent, which will lead to different degrees of knowledge forgetting. The best way to solve this problem is to replace knowledge with problems.

(6) Appropriate promotion of special review. It is difficult to review special topics, which is determined by the characteristics of the second round of review. Without certain difficulty, it is difficult to improve students' ability. Improving students' ability is the task of the second round of review. However, we should comprehensively consider various factors and grasp a degree.

(7) The focus of special review is to reveal the thinking process. Can't increase students' practice, let alone push students into the sea of questions; No, rushing to catch up with the progress and catching up with the progress here are the main reasons for the "confusion".

(9) Pay attention to collective lesson preparation and enjoy resources.

Third, the third round of review (June)

1, the form of the third round of review

The form of the third round of review is to simulate the comprehensive training of the senior high school entrance examination, check for leaks and fill vacancies, just like a construction project acceptance stage, pre-test training. Study the mid-term exam questions over the years, train the answering skills, the mentality of the examination room, and the ability to adapt to the situation. Spare exercises include "Top Sprint", "Nine Cities Simulation Test" and Fuzhou Middle School's test questions over the years (2000~2004).

2. Several problems that should be paid attention to in the third round of review.

(1) The simulation questions must have the characteristics of simulation. The arrangement of time, the number of questions, the proportion of low, medium and high questions, and the control of overall difficulty should be close to the middle school entrance examination questions.

(2) The design of simulation questions should be gradient, based on the senior high school entrance examination, higher than the senior high school entrance examination.

(3) Review in time, strike while the iron is hot, and avoid two exams.

(4) The score should be tough. Don't grade if you can get it, and try not to grade questions with wrong answers. Let harsh grades educate students. If you can, don't lose points.

(5) Add comment on writing on special issues. Only a few students make mistakes in some problems, and such problems can no longer occupy classroom time. The problems of individual students are explained in the form of comments on the test paper.

(6), detailed statistics of marginal students lose points. This is the main basis of classroom evaluation content. Because the learning situation of marginal students is not only representative, but also the key to improve class performance. What we want to talk about in class is the problem that marginal students make many mistakes, and statistics is the key link.

(7) Summarize the missing points of students' knowledge. Accumulate materials for leak detection and vacancy filling.

(8) Handle the relationship between evaluation and assessment. Generally, each question will be tested in two classes and evaluated in four classes. In other words, a question usually needs four classes to evaluate.

(9) Choose appropriate topics, which should be fewer, more precise and more targeted. The basis of choice is marginal loss of points. Generally, one third of marginal students will make mistakes in class.

(10) Based on the word "head". Once the topic to be discussed is decided, there are four aspects of work that must be done well. First of all, it must be thoroughly discussed. The second is expansion; The third is to keep up with a sufficient number of follow-up exercises; Fourth, we should replace knowledge with problems. Don't comment on everything. No quick comments, no topic comments.

(1 1) Give students some time to correct their mistakes and digest them. Students should sort out what the teacher has said; Correct the problems that the teacher didn't say and solved by himself; The basic knowledge related to it should be memorized and consolidated. Teachers should make full use of this time to solve individual problems of individual students.

(12) appropriately "liberate" students, especially in terms of time arrangement. After a period of examination, examination and re-examination, almost all students will feel physically and mentally exhausted. If you bring this tired state into the examination room of the senior high school entrance examination, it will definitely be a poor result. However, it should be noted that liberation is not relaxation, and students must be ensured to have a moderately tense mental state. Practice has proved that moderate tension is the best state of normal or extraordinary play.

(13) Adjust students' biological clocks. Try to adjust the time of study and thinking to be consistent with the time of the answer sheet for the senior high school entrance examination.

(14) Adjustment of mentality and confidence. This is the responsibility of every teacher. At this moment, the role of confidence becomes the greatest.