Junior Grade 1 Mathematics Exam Sample

The midterm exam for Grade 1 Mathematics is over, and the students’ scores are also uneven. Why do some students get close to full marks in mathematics while others Why are students’ grades relatively poor? This is the problem of first-grade mathematics. First-grade mathematics is a relatively simple period, but it is also more difficult for students who have just come into contact with junior high school mathematics to accept it. This requires junior high school mathematics. One of the students can compare with the knowledge learned in primary school during their usual mathematics learning. When I was studying the algebraic formulas in the first grade of junior high school mathematics, I thought that the algebraic formula was just using some letters instead of some numbers. Then I had to be careful when taking the exam of the first grade of junior high school mathematics, because the calculation of rational numbers in the first grade of junior high school mathematics was just a little sloppy. There will be many wrong choices when filling in the blanks, so this issue should attract special attention. Runyang Education provides one-on-one tutoring for first-year students in mathematics. It usually focuses on the degree of knowledge mastery of first-year students and gives students certain prompts before the exam, so that students can get more scores in the mathematics test. Techniques so that students can have a good mood and get excellent results when taking exams. The half-term exams in various schools have ended one after another. Some students have achieved excellent results, but we understand that there are still many students who have encountered difficulties in learning mathematics. However, despite their hard work, their results are always not ideal (150%). The total score can only be about 120 points, or even lower).

Why is this? !

Junior high school mathematics is a whole. The second grade of junior high school has the most difficult points, and the third grade of junior high school has the most test points. Relatively speaking, although there are many knowledge points in first grade mathematics, they are all relatively simple. Many students do not feel the pressure in their studies at school, and gradually accumulate many small problems. These problems become prominent after they enter the second grade of junior high school and encounter difficulties (such as the increase in subjects and the deepening of difficulty).

Some new students just don’t pay enough attention to mathematics in the first year of junior high school. After entering the second year of junior high school, they find that they can’t keep up with the teacher’s progress and feel that learning mathematics is becoming more and more difficult. They hope to join our tutoring class to make up for it. The reason for this problem is mainly that the fundamentals of first-grade mathematics are not paid enough attention to.

Here we first list several problems that often occur in the first grade mathematics learning:

1. The understanding of knowledge points remains at a half-knowledge level;

2. When solving problems, you are never able to grasp the key mathematical skills, and you look at each problem in isolation, lacking the ability to draw inferences from one example;

3. When solving problems, you make too many small mistakes, and you are never able to completely solve them. Solving problems;

4. Problem-solving efficiency is low, unable to complete a certain number of questions within the specified time, and not adaptable to the exam rhythm;

5. Failure to develop the habit of summarizing , we cannot habitually summarize the knowledge points we have learned;

If the above problems cannot be solved well in the first grade of junior high school, students may experience a decline in their performance in the polarized stage of the second grade of junior high school. . On the contrary, if you can lay a good foundation in mathematics in the first grade of junior high school, the learning in the second grade of junior high school will only increase the number of knowledge points and increase the difficulty, and students will easily adapt to the learning methods.

How can we lay a good foundation for mathematics in the first year of junior high school?

(1) Carefully explore concepts and formulas

Many students do not pay enough attention to concepts and formulas , this type of problem is reflected in three aspects: First, the understanding of the concept only stays on the surface of the text, and insufficient attention is paid to the special situation of the concept. For example, in the concept of algebraic expressions (an expression represented by letters or numbers is an algebraic expression), many students ignore that "a single letter or number is also an algebraic expression". Second, blindly memorizing concepts and formulas without any connection with actual problems. In this way, the knowledge points learned and problem solving cannot be well connected. Third, some students do not pay attention to the memory of mathematical formulas.

Memory is the basis of understanding. If you can't know the formula by heart, how can you apply it skillfully in the problem?

Our suggestion is: be more careful (observe special cases), go deeper (understand the problem) It is a common test point in questions), and be more proficient (no matter what form it appears in, we can apply it freely).

(2) Summarize similar types of questions

This work is not just the teacher’s business, our students must learn to do it themselves. Only when you can summarize the questions, classify the questions you have done, know which types of questions you can solve, what common problem-solving methods you have mastered, and which types of questions you cannot solve, will you truly master this subject. Only by learning the secret can we truly achieve "Let it change, and I will remain unmoved." If this problem is not solved well, after entering the second and third grades of junior high school, students will find that some students do questions every day, but their scores do not rise but fall. The reason is that they are doing repetitive work every day, doing many similar problems over and over again, but they cannot concentrate on solving the problems that need to be solved. As time goes by, I still can't solve the problems I don't know, and I still can't solve the problems I can solve because of my lack of overall grasp of mathematics, which makes me a mess.

Our suggestion is: "Summary and induction" is the best way to do fewer and fewer questions. (3) Collect your own typical mistakes and questions you don’t know

The most difficult thing for students to face is their own mistakes and difficulties. But this is precisely the problem that needs to be solved most. Students have two important purposes in doing the questions: first, to practice the knowledge points and skills they have learned in actual questions. The other thing is to find out your shortcomings and then make up for them. This shortcoming also includes two aspects, easy mistakes and complete incompetence. But the reality is that students only pursue the number of questions and deal with the homework hastily, but do not seek to solve the problems that arise, let alone collect errors. The reason why we recommend that you collect your typical mistakes and questions that you don’t know is because once you do this, you will find that in the past you thought you had many small problems, but now you find that it is this one that keeps recurring. Appeared; in the past, you thought you had many problems that you didn’t understand, but now you find that these key points have not been solved.

Our suggestion is: Doing questions is like digging for gold. Every wrong question is a piece of gold. Only by digging and smelting can you gain something.

(4) Actively ask questions and discuss issues that you do not understand.

If you find issues that you do not understand, actively ask others for advice. This is very common. But just this, many students cannot do it. There may be two reasons: first, not paying enough attention to this issue and not asking for a thorough explanation; second, being embarrassed and afraid of being scolded by the teacher or looked down upon by classmates for asking. With such a mentality, it is impossible to learn anything well. "Being behind closed doors" will only cause more and more problems for you. Knowledge itself is coherent. If the previous knowledge is unclear, it will be more difficult to understand when you learn the later parts. When these problems accumulate to a certain extent, you will slowly lose interest in the subject. Until it’s impossible to keep up.

Discussion is a very good way to learn. For a more difficult topic, after discussing it with your classmates, you may get good inspiration and learn good methods and techniques from them. It should be noted that it is best to discuss with classmates who are at the same level as yourself, so that everyone can learn from each other.

Our suggestion is: "Study diligently" is the foundation, and "asking questions" is the key.

(5) Pay attention to the cultivation of practical (examination) experience

The examination itself is a science. Some students usually have very good grades. When the teacher asks questions in class, they know everything. I can also do questions after class. But when it came to the exam, the results were not ideal. There are two main reasons for this situation: first, the exam mentality is not good and it is easy to be nervous; second, the exam time is tight and it is always impossible to complete it within the specified time. If you have a bad mentality, on the one hand you need to pay attention to your own adjustments, but at the same time you also need to go through large-scale exams to exercise. For every exam, everyone has to find an adjustment method that suits them. Over time, they will gradually adapt to the exam rhythm. The problem of slow problem solving needs to be solved by students during their usual problem solving.

On this basis, teach them how to learn and improve their skills. And do a good job of checking for omissions and filling vacancies carefully and meticulously. Underachievers usually have many knowledge gaps, which are stumbling blocks in the transformation process of underachievers. When doing a good job in transforming underachievers, special attention should be paid to making up for them and completing the knowledge gaps they have learned before. In this way, They will learn easily, progress quickly, and their interest and thirst for knowledge will increase.

6. Actively promote quality education. The new curriculum reform mentions that improving students' quality education should be the leading idea. For this reason, in my teaching work, I do not just impart knowledge, but pay attention to the cultivation of students' abilities, combining imparting knowledge and skills with developing intelligence and abilities. It injects ideological and emotional education factors into the knowledge level to give full play to students' innovative consciousness and innovation ability. Let students' various qualities be effectively developed and cultivated. In future teaching, you should think more about other experienced teachers and learn more so that you can become an excellent educator as soon as possible.

Part 3: Summary of Beijing Junior High School Mathematics Midterm Exam

The exam has ended. Generally, midterm exams are based on independent propositions of each school, but the overall examination scope is relatively unified. The following is based on e-degree Teacher Sui Xiuyan from the expert group gave a detailed analysis of the mathematics content of this midterm exam.

1. Basic concepts of rational numbers

1. Opposite number, absolute value, reciprocal

In fact, in these two papers, there is only one question that is tested The reason why this content is included as a type of question is because in the final exam of the first year of junior high school, not only this school tested this question, but more importantly, in the high school entrance examination three years later, the multiple-choice question A question is also such a question. 2. Basic concepts

In the examination of basic concepts, the size and affiliation of concepts are not clear. For example, rational numbers include positive numbers, negative numbers, and 0. Many students tend to throw away 0.

2. Scientific notation

What will be tested here is the rounding method to obtain approximate values ??and significant figures. The key part of the test is to use scientific notation to express familiar problems. The question also appears in the high school entrance examination and it is easy to score.

3. Basic concepts of monomials and polynomials

The main error-prone points are the understanding of basic concepts, confusion of degrees and coefficients, missing letters when checking the number, and missing the number of terms when checking the number. Sometimes the constant term is missed. The focus is on problems of combining similar terms, which are the basis for addition and subtraction of integers.

4. Properties of absolute value and properties of squares

It mainly examines the non-negativity of absolute value and square, as well as the synthesis of the two non-negativity.

5. The Four Arithmetic Operations of Rational Numbers

The common mistakes in the four arithmetic operations of rational numbers lie in removing parentheses, order of operations, removing absolute values, etc. The four arithmetic operations of rational numbers also lay the foundation for the algebra part of our junior high school. Although we have been exposed to calculations in primary school, many students still make mistakes in calculations in junior high school. The main reason is that there is an essential difference between calculations in junior high schools and primary school calculations. Calculations in junior high schools focus on testing children's attentiveness, and the process becomes the key to success or failure; while calculations in primary schools mainly involve writing out the results and getting scores.

6. Addition and subtraction of integers

Simplification and evaluation of integers is also the key to addition and subtraction of integers. In junior high school calculations, there was not a single question that caused us to collapse. , there are usually methods to follow, so the same applies to general addition and subtraction of integers. You need to simplify first and then evaluate. Since there are many steps, the error rate is relatively high.

Part 4: Summary of the first-year mathematics teaching work

The work of this semester is coming to an end. In this period, under the leadership of the school and with the support of the majority of teachers, in the work I have achieved good results, and my own quality has also been greatly improved. In order to better do future work, the work done in this period is summarized as follows.

Over the past semester, I have carefully prepared lessons, attended classes, listened to classes, and evaluated classes. I have promptly corrected and commented on homework, done a good job of after-school tutoring, and extensively dabbled in various knowledge to form a relatively complete knowledge structure. Students are required to respect students, promote teaching democracy, so that students can learn something and continuously improve, thereby continuously improving their teaching level and ideological awareness, and successfully completing education and teaching tasks.

At the beginning of the school year, I served as the head teacher of the first grade (6) class and the math class teaching for the first grade (5) class. At the beginning of the semester, in order to do a good job in the work of freshmen, I often took the time to talk to the students, understand the students' situation, and quickly established a good teacher-student relationship with them.

In order to make students gradually get used to the self-study method, in addition to We must conscientiously do a good job in students' ideological education, clarify the purpose of learning, and correct their learning attitude. We must gradually teach students to read, understand, and master the teaching materials, make comments on the teaching materials, teach students the methods and requirements for doing exercises and checking answers, and set examples. , In this stage, I get to know and understand the students as soon as possible, and master the basic situation of the students.

The main aspects of my teaching are the following aspects:

1. Preparation before class

Study the teaching materials carefully and understand the basic ideas and basic concepts of the teaching materials. Concept, understand every sentence and word, understand the structure, key points and difficulties of the teaching materials, master the logic of knowledge, be able to use it freely, know what information should be supplemented, and how to teach well. In addition to carefully studying the teaching materials and thoroughly understanding them, we must also get to know the students deeply, understand the quality of their original knowledge and skills, their interests, needs, methods, and habits, as well as possible difficulties in learning new knowledge, and take corresponding preventive measures. This can make the guidance in classroom teaching targeted and avoid blindness. On the basis of understanding the students, consider the teaching methods and solve how to teach the already mastered teaching materials to the students, including how to organize the teaching materials and how to arrange the activities of each class. Combine the teaching materials with students' actual situation well and determine the main content to be taught in class.

2. Classroom work

(1) First, organize teaching well, which is the guarantee for smooth and normal teaching.

The organized teaching of the new curriculum mathematics is obviously different from the traditional organized teaching. We know that the task of organized teaching is to organize the attention of the whole class of students to the learning tasks of the class from beginning to end. In traditional classroom teaching, teachers focus students' attention more on the teacher's teachings. However, according to the age characteristics of the students, generally, the attention of junior middle school students, especially those in the lower grades, is easily distracted. The concentration of attention is On the contrary, decentralization is absolute. Therefore, organizational teaching should run through the entire teaching process. In organizing teaching, for teachers to be able to truly play a role and achieve their goals, the emotional factor between teachers and students is very important. Therefore, the teacher's prestige will play a greater role. Teachers should be both friendly and serious, make the classroom atmosphere lively but not chaotic, and try to avoid students' depression and excessive anxiety, so that students can display their normal intelligence and learn efficiently in a harmonious atmosphere.

(2) The second step is to review old lessons and introduce new lessons. The review should be based on the students' mastery of knowledge and the relevant knowledge involved in this lesson. It should be concise and to the point, grasp the key points, and get through the essence. Then, make a natural transition, introduce a new lesson, briefly describe the learning topic, arrange the learning content, and clarify the learning requirements. To ensure the planning and integrity of the teaching process. The differences in students' learning are fully taken into account, so that students can learn quickly and learn slowly, achieving a combination of class collective and individualization.

Once again, students carry out learning activities independently according to the teacher’s requirements. Do exercises based on understanding the content of the textbook, provide timely feedback on learning results, and ask the teacher for help if you cannot solve problems yourself. For students whose learning and thinking quality is not solid, we should pay attention to using specific examples and through strict requirements to gradually cultivate their solid quality; for those with excellent academic performance, we should guide them to develop in depth and breadth, and put forward requirements for further in-depth study. , and implement it specifically, so that they can make full use of this precious time in the classroom, give full play to their potential, improve efficiency, and complete learning tasks ahead of schedule. For students with poor learning foundation and slow thinking, focus on tutoring.

Here it is very important for teachers to keep track of each student's situation and the entire classroom, and to always be proactive.

3. After-school tutoring work

To improve the quality of teaching, we must also do a good job in after-school tutoring work. Junior high school students love to be active and fun, lack self-control ability, and often fail in their studies. Unable to complete homework on time, and some students plagiarize homework. In order to solve this problem, we must do a good job in ideological education of students and implement this work into the study guidance of students. We must also do a good job in tutoring and tutoring students in their studies. Help work, especially in the transformation of underachievers. In my tutoring work, I am good at designing different questions and using different methods to actively guide and inspire students according to their different situations. Can I ask him what he thinks? How do you understand it? Listen to their opinions and understand their situation, and provide targeted and practical individual counseling to truly teach students in accordance with their aptitude. This will play a certain role in improving poor students and improving the quality of junior middle school mathematics teaching on a large scale. Although there are many reasons for the formation of poor students, students' learning foundation, learning interests, learning motivation, learning methods, etc. are issues worthy of our attention. As long as the teacher perseveres, students' interest in learning will gradually be enhanced, resulting in strong learning motivation and continuous improvement of learning levels. In terms of teaching and research, I actively participated in listening to and evaluating classes, and I humbly learned teaching methods from my peers, learned from others' strong points, and improved my teaching level. Cultivate a variety of interests and hobbies, read widely, constantly broaden your knowledge, and inject fresh blood into the teaching content.

"No gold is pure, and no one is perfect." It is inevitable that there will be defects in teaching work. For example, the language in the classroom is gentle, there are few exams, and the language is not vivid enough. Entering the 21st century, society has higher requirements for the quality of teachers. In the future education and teaching work, I will be stricter with myself, work hard, carry forward the advantages, correct the shortcomings, forge ahead, and contribute my strength to a better tomorrow.

Part 5: Mid-term summary of first-grade mathematics

Most first-grade students are 13 or 14-year-old teenagers. They are in the stage of physical growth and knowledge. They are curious and enthusiastic. , lively, full of vigor in all aspects; but poor self-control and inability to concentrate... In short, first-grade students are in a semi-childish and semi-mature stage. To master their regular teaching, they should be good at guiding them so that they can have strong energy. , strong curiosity turned into a strong desire for knowledge and a spirit of serious study, and passive learning turned into active and conscious learning. Let me talk about some of my experiences about first-year mathematics in the past year:

Clear learning Purpose

The level of learning enthusiasm of first-year students is generally determined by their learning motivation. At the beginning of school, I conducted a survey on the class and found that students’ learning motivation can be roughly divided into:

Studying has no purpose, no interest, and is for coping with parents (52.8%)

Studying for personal future, bringing honor to parents (20.2%)

Learning for the country, and serving the construction of the motherland (27%)

It can be seen that most students have unclear learning goals, but they are very malleable. In addition to strengthening normal positive education, they can also use the charm of knowledge to attract students.

Carefully set up doubts and inspire Interest in learning ignites the spark of students' "love" for mathematics

Einstein has a famous saying, "Interest is the best teacher." When a person has "interest", this good teacher, his perception It will be clear and definite, the memory will be deep and lasting, and the learning will change from passive to active. In teaching, special attention should be paid to attracting students with knowledge. Introducing cleverly, carefully setting up doubts, causing students to The psychological state of thirsting for new knowledge can stimulate students' enthusiasm and initiative in learning. For example, using the illustrations at the beginning of each chapter of the textbook to raise general practical questions can not only improve students' interest in learning, but also help students understand the content of each chapter. Learning purpose; Another example is the introduction of rational numbers in Chapter 2 of Algebra. I gave the students an example: walk 3 meters from the podium to the door (south), and walk 3 meters from the door back to the podium (to the north). Then I asked Two questions from students: (1) Has my position changed? (2) How many meters have I walked? I feel confused when I use mathematical formulas to express it. This example arouses the appetite of the students, and takes advantage of (reprinted from 100%.com) students’ psychological state of eagerness to seek knowledge to introduce new topics: "In order to meet practical needs, the arithmetic numbers learned must be expanded. to rational numbers."

In addition, students' daily homework feedback and unit test score feedback are also used to further stimulate and cultivate students' interest.

Elaborately design the teaching process to change classroom teaching Methods, adapted to physiological and psychological characteristics

Students’ learning psychological state is often directly affected by the classroom atmosphere. Therefore, students’ inner learning psychology must be mobilized, and lesson preparation should be based on students’ intellectual development level and mathematics. The psychological characteristics of each class are used to determine the starting point, depth and breadth of teaching, so that students at all levels can gain something. In order to adapt to the physiological characteristics of students who cannot concentrate for a long time, each class will be taught for no more than 25 minutes, and the remaining time will be spent reading or reading. Do exercises; exercises should be carefully designed and in various forms, combining oral and written calculations; sometimes one question guides students to use two methods and asks students at the same table to use different methods to calculate; sometimes students with different levels are asked to go to the blackboard to do the difficulty level Different exercises allow students to taste the joy of success, giving students at different levels the opportunity to express themselves and gain psychological balance.

Integrating mathematical ideas into classroom teaching

Mathematics Concepts, ideas and methods are important components of mathematical science and are the soul of mathematical science. While imparting knowledge, teachers should pay attention to the education of mathematical thinking methods, and integrate reasoning, argumentation and thinking methods for solving problems that are not specifically described in commonly used textbooks. , teach students in a timely and appropriate manner, which is beneficial to improving students' initiative and ability to analyze and solve problems. For example, the chapter on rational numbers particularly highlights the idea of ??combining numbers and types, and closely follows the number axis to gradually introduce the correspondence between the number a and a relationships, inspiring students to discover and solve problems from both numbers and shapes. Guide students to think during practice

Conclusions under general circumstances penetrate the inductive thinking method and promote the formation of their thinking ability.

In fact, mathematical thinking penetrates into the definition of concepts, the derivation of rules, theoretical questions and specific solutions. In the teaching process, teachers are required to stand on the perspective of methodology and tell the students about the treasures that cannot be seen between the lines in the textbooks, tell the methods of decision-making and creation, carefully refine, deliberately penetrate, and often use.

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2013-09-12 10:07 The fastest answer from enthusiastic netizens

Days and months fly by, day by day passes, and the final exams are finally over. In this semester, I completed the transition from a primary school student to a junior high school student, and adapted to the new environment of middle school. . My teachers and classmates all gave me great help and selfless care. In my first year of junior high school, I learned a lot of new knowledge, such as algebra and equations, English sentence patterns, new prose and poetry... It was really rich. What makes me most happy is that I finally learned how to learn English and take notes in class. But I am not proud. Although my English scores are already very good, I will continue to work hard until I am most satisfied! Of course, there are still some discomforts with middle school life. The teacher changed from teaching us step by step to guiding our self-learning ability step by step. I am gradually adapting to this process because I am already a middle school student. There are still many things I don’t understand about some courses, so I will study on my own during the summer vacation. Because someone once said: "The more you don't understand something, the closer you get to it." Therefore, I will continue to work hard and do better! I want to understand all the things I don’t understand before the second grade of junior high school “comes”, and welcome the “coming” of the second grade of junior high school in the best possible condition. After the failure experience last semester... This semester I know better how to deal with others, but the waves keep coming... my grades have dropped several times. I think this is because I don’t study hard. I never feel nervous or study hard until the exam. I must get rid of this bad habit. Knowledge cannot be completed in a day or two, but is accumulated step by step day by day, month by month. Entering the first grade of junior high school means that students have entered a new stage of learning and begun to think about how to use more scientific and effective methods to explore the mysteries of various subjects. This requires a relatively long process to summarize, because everyone's way of thinking is different, so there are many suitable learning methods. Each of our students has to make countless attempts before they can truly choose a learning method that suits them. Therefore, it is not unreasonable to say that the first year of junior high school is an exploratory stage. When I first entered the first year of junior high school, many new subjects were added, and the difficulty of basic courses such as mathematics, Chinese, and English was also greatly increased. We will feel a little overwhelmed. Even if we listen carefully in class, we still feel a little struggling in learning because we do not conduct timely consolidation exercises. If the foundation of some courses is not laid well, it will lead to big loopholes in the study of the second and third grades of junior high school, which will be more difficult to make up for. Therefore, we must lay a good foundation in the first year of junior high school, and every small knowledge point must be clearly understood. Only with a good foundation can we make faster progress in the next two years of study. The first year of junior high school is the academic year in which the entire junior high school foundation is laid. There is a saying that goes well: A good start is half the battle! Only with the good foundation laid in the first grade of junior high school can we make great progress in the improvement of the second grade of junior high school and the sprint of the third grade of junior high school! I believe I can do better and I will continue to work hard! ! !

Hope it can be helpful to you.