The application problems of primary school mathematics are often the application of concepts and formulas, the calculation methods of square, parallelogram, triangle and trapezoid areas and so on.
(1) application questions of scores and percentages
The concept of fraction is the key to solving problems, and the choice of standard quantity "1" is the breakthrough.
(2) Engineering problems
The relationship among workload, work efficiency and working hours should be clarified in engineering problems.
(3) Travel problems
On the surface, it is to examine students' understanding of the relationship between distance, time and speed. From a deeper perspective, it is actually to examine students' flexibility, because not only distance = time × speed, but also time, place, direction and many other factors need to be considered.
(4) the problem of concentration
This kind of problem requires knowing the relationship: solution = solute+solvent; Concentration = solute/solution; Solution = solute/concentration, etc. Geometry problems in Xiao Sheng's early exams.
The problems of area and volume mainly consider the following contents: How to get the calculation formula of parallelogram area? How to calculate the area of triangle and trapezoid? What about the formula for calculating the area of a circle? Think about how the square area is calculated. Why? What is the surface area of three-dimensional graphics? How to calculate the surface area of a cuboid? Is there any simple way to solve this kind of problem? How to calculate the surface area of a cylinder? What are the similarities between a cuboid and a cylinder?
Cylinder (cone) problem: know the bottom, side and height of the cylinder; Know the bottom and height of the cone. If you want to know the unfolded figure of the cylinder's side, know the calculation method of the lateral area and surface area of the cylinder, you can calculate the lateral area and surface area of the cylinder, use the calculation method flexibly according to the actual situation, and know the approximate method. Statistical problems in routine examination of junior high school
Simple statistical tables, charts, and learning to calculate averages and percentages are all preliminary knowledge of statistics.
In statistical work, in addition to sorting data, it can also be represented by statistical tables, and sometimes it can also be represented by statistical charts. There are three kinds of common statistical charts: bar statistical charts; Broken line statistical chart; Department statistical chart.
To understand the statistical chart and clarify its characteristics and functions, it is necessary to go through the process of collecting and sorting out data, representing data with statistical charts and sorting out results. According to the statistical chart drawn, we can analyze some simple facts reflected by the data, make some simple reasoning and judgment, and further understand that statistics is a strategy and method to solve practical problems.
The second method of reviewing the key knowledge of mathematics in Xiaoshengchu (xiaoxue. chazidian.com);
Grasp the classroom
Science study focuses on weekdays and is not suitable for surprise review. The most important thing to study on weekdays is to attend classes. Listen attentively and keep your thoughts close to the teacher. At the same time, it should be pointed out that many students tend to ignore the mathematical ideas and methods taught by teachers and pay attention to the answers to questions. In fact, thinking methods such as "transformation" and "combination of numbers and shapes" are far more important than the answers to some questions.
Finish homework with high quality
The so-called high quality refers to high precision and high speed. When writing homework, I sometimes repeat the same type of questions. At this time, we should consciously examine the speed and accuracy, and we can have a deeper thinking about this kind of problem every time we finish it, such as the content it examines, the mathematical thinking method used, the rules and skills of solving problems, etc. In addition, the thinking questions assigned by the teacher should also be carefully completed. If you don't give up easily, you must carry forward the spirit of "nails" and think quietly whenever you have time. Inspiration always pops up in front of you. Most importantly, this is an opportunity to challenge yourself. Success will bring self-confidence, which is very important for learning science; Even if you fail, this question will leave a deep impression on you.
Think hard and ask more questions.
First of all, for the laws and theorems given by teachers, we should not only know "why", but also know "why", so as to get to the bottom of it, which is the best way to understand. Secondly, we should be skeptical about learning any subject, especially science. If you have any questions about the teacher's explanation and the content of the textbook, please feel free to ask questions and discuss with the teacher. In short, thinking and asking questions are the best ways to eliminate hidden dangers in learning.
Summarize and contrast, and clear your mind.
(1) summary and comparison of knowledge points. After learning each chapter, you should make a frame diagram of the content of this chapter or go through it in your mind to clarify the relationship between them. Similar and confusing knowledge points should be summarized and compared separately, and sometimes they can be distinguished by association.
(2) Summary and comparison of topics. Students can set up their own question bank. I have two sets of problem sets. One is wrong and the other is accurate. Write down the mistakes in the usual homework and exams selectively, and mark the matters needing attention with a red pen on one side. Just read what is written in red pen before the exam. I also wrote down some extremely clever or difficult problems I saw, and marked the methods and ideas used in this problem with a red pen. After a long time, I can sum up some types of problem-solving rules and write them down in red notes. In the end, they will become your precious wealth and be of great help to your math study.
Do extracurricular exercises selectively.
Spare time is very precious to us middle school students, so when you do extracurricular exercises, you should be less and better. As long as you do two or three questions every day, your mind will be broadened after a long time.
Review method 3 of key knowledge of mathematics in Xiaoshengchu;
First, candidates should learn to construct knowledge context.
On the one hand, it is convenient to sort out the knowledge nodes of the whole mathematics, on the other hand, it is beneficial to deepen the impression of key knowledge. For junior high school mathematics, mathematical concepts are very important. It is the starting point of constructing knowledge network, and it is also the focus of mathematics in senior high school entrance examination. Therefore, one-on-one tutoring education emphasizes that all junior high school students must ensure that they master various concepts, classifications, definitions, properties and judgments in algebra and geometry during the semester, and will apply these concepts to solve problems.
Second, always consolidate basic knowledge based on textbooks.
For the review of any subject, the basic knowledge based on textbooks is the most basic and important link. Teacher Yang, who has rich experience in mathematics teaching and research at Xiaoshengchu, said that