Today we've prepared a collection of high-frequency knowledge points in primary school. The focus has been drawn to help you achieve high marks
First and second grade
The sooner the numbers enter, the more important the interest is for children in the first and second grades, so the children can be guided by some digital games。
One, luck and speed
The search for a certain pattern, which becomes more simple, must increase students ' confidence in and interest in learning mathematics. In addition, computation and speed form the basis for learning about follow-up issues. Good math. First thing you have to do is figure it out。
2 simple enumeration
In a more intuitive way, the complex abstraction of issues is portrayed in a way that is easy for children to understand. Image abstract questions and lead children to think。
Third and fourth grade
This period is a crucial period for the development of olympic thinking, a golden period of study, a period in which children's computing, cognitive, logical analysis skills will be greatly improved, learning content will be more difficult and extensive, and the performance of various competition tasks and entrance examinations will be significantly more important, and it will be a critical period for winning the various contests and competitions。
1 application of the laws of operation and the nature of quick and smart calculations
The quick and accurate calculation answer is one of the fundamental points of the year-to-year mathematical competitions, which strengthens the laws of multiplication and multiplication, where multiplication rates are a major focus of the competition; in addition, the competitions often look at the idea of a simple calculation by changing the order of the calculations by changing the order of the calculations by using the multiplication rate. For example: 17x5+17x7+13x5+13x7。
The calculation of multiple digits for the focus type, basic calculations of decimals, simple calculations of decimals, etc. Of these, multiple numbers are calculated mainly by scaling multidigit numbers into multidigit numbers of all nine, using multiplication rates. The focus is on basic computing, with simple computing techniques to improve accuracy and speed。
2. Understanding hypothetical thinking to solve the coop problem
The chicken rabbit coop problem, which stems from our great mathematical book, sunshine count, about 1,500 years ago, requires children to have hypothetical ideas and very clear thinking。
3 average application topics
The concept of “average” is often used in the daily learning and life of students. The calculation of “average grades” in mathematics for class students, the “average ages” of three students and mothers and fathers, etc., are problems that are often encountered in order to achieve averages。
4 and differential application topic
In order to ascertain the relationship between the two volumes in the subject matter, children are required to learn how to use a line map to express the relationship between the two volumes by the relative length of the segment and to find a way to solve the problem。
The number and the number of questions are known to be two and the relationship to them in multiples, and the application of two numbers in size is generally applicable: the number and the corresponding number of multiples and = one multiple
The difference is the difference between the two known sizes and their multiples, and, for the application of the two sizes, the formula is generally applicable: the number difference corresponds to the multiple = the “1” multiple
The difference is the difference between the two known sizes and the two sizes, and the application of the two sizes is generally amenable to formulas: large = (quantity and + quantity difference) ÷2, small = (number and quantity difference) ÷2。
5. Timing issues
The question of the itinerary is the following: problems of encounters, problems of pursuit, problems of train encounters, problems of running boats, problems of encounters. Children are required to have a very deep understanding of the basic problems of encounter and follow-up, and it is common for students to go to sixth grade in the course of their studies to make mistakes about whether or not the time taken to follow up on the problem is equal。
6 arrange
The grouping is an improvement on the principles of addition and multiplication that were learned in the initial period. Children are required to first have a good understanding of the concept of grouping, the calculation of the number of arrays and the difference between grouping and grouping, especially with regard to the distinction between grouping and grouping, and to understand the difference between grouping and grouping by mastering some classic examples。
Geometric and cyclical issues
Geometric and cyclical issues are also common to major competitions and entrance examinations, and in particular, many of the composite issues, which include both numerical and cyclical issues, are among the top priorities of competitions and preparation. In particular, the combination of cyclical problems and equations, and the fact that children are often prone to error when making a subject, require a greater amount of work。
For the third and fourth grades, the basics must be firmly established, application must be valued, skills must be taught and methods must be found to prepare for learning. In the fourth grade of primary school, emphasis is placed on the accumulation of child-to-child solutions to problems and on integer and decimal calculations。
Fifth and sixth grade
In the 5th and 6th grades, the study should be more targeted and choose the appropriate class for the actual situation and objectives of the child. The recent examinations in some schools show a tendency to have a large number of subjects, a time frame and a high level of efficiency in dealing with them in unit time, in two respects: speed and correctness。
1 increment
The incremental approach is to start with the simplest situations, from which we can find patterns or know-how to solve complex problems by dealing with simple problems。
For example, how many points do we have on the plane at most? The first time you see this problem, you'll want to draw a 2008 line and then count the points
In fact, we can solve the simplest case by finding one, two, three, one, one, one and so on。
2. Timing issues
The problem of the o-calendar journey during this period can be broken down into basic journeys (individual objects), average speeds, encounters, pursuits, water-flowing ships, train crossing, train error, clock problems, travel on circular routes, etc. As long as the know-how of each of these small types is captured and an analytical thought is developed, complex travel problems are no more than the transformations of these types。
3 numerical issues
Numericals are the core knowledge of the fifth grade, and in order to solve abstract and obfuscated numerical problems, the basic knowledge of numericals is first acquired: the oddness of numbers, approximate numbers (now called factors), multiples, number of conventions and maximum number of conventions, number of commons and minimum commons, primes, alloys, decomposition factors, integers, residuals and equivalents. Some of these basic knowledge points will be combined with a number of questions。
Four, drawer principle
There's a lot of interesting things in life, like putting four apples in three drawers, and whatever you do, there's at least two apples in one drawer, and that's how it works。
5 graphical area calculation
The size of graphics has always been a difficult point in the numbers, and for such topics to master the size formula of the basic graphics, some important conclusions must also be drawn: e. G. The equation of the triangle, the schematic aberration, the principle of the wings of the butterfly in the ladder, the relationship between the middle and the size of a similar triangle。
Six, hundreds of points
This focus is very high in the year-to-year testing of schools。
7 ratios
The most important elements of the application, which often emerges as a cross-cutting theme, are a comprehensive examination of the child-to-child ratio, the application of the equation and the ability to analyse complex issues
Proportional relation between three times the speed of a journey
Use of proportional analysis to solve general process problems
The point is to learn how to analyze a complex subject
Geometric issues
Geometric issues are the focus of study visits to schools, with specific plane geometrys such as straight-line questions and circles and fan formations; stereo geometry is divided into two main parts of surface area and volume。
