Mathematics in primary schools is the basis for students to learn mathematics in the future. The following is a summary of the mathematics points of primary school, compiled for you by the editor of the foreign studies network, for reference purposes only, and is welcome to read。
First grade knowledge point and hard times
(i) number and calculation
(1) awareness within 20 years. Added and subtracted。
Count. Composition, order, size, reading and writing of numbers. Added and subtracted. Combining operations with plus, minus and minus。
(2) awareness within 100. Added and subtracted. Count. Places, ten. Numbers in order, size, reading and writing。
Double plus, minus ten and double plus and minus one digits. A two-step calculation adds or subtracts the subject。
(ii) awareness of volume versus measurement of bell face (full time). Rmb awareness and simple calculations。
(iii) geometric preliminary knowledge
Intuitive recognition of rectangular, square, cylinder and ball。
Intuitive perception of rectangular, square, triangle and circle。
(iv) applications
It is easier to add, to subtract, one-step. Multiple and few applications (capacity to capture effective information)
(v) practical activities
Select what is closely related to life. For example, according to the number of men and women in the class, the distribution of each group, what are the mathematical problems that come to mind。
Second grade knowledge points and difficulties
(i) number and calculation
(1) two-digit plus minus two-digit. ♪ double and minus double. Plus and minus vertical. A two-step calculation adds or subtracts the subject。
(2) multiplication and division of tables. ♪ multiplication preliminary recognition. Multiplication. Multiplication vertical. Preliminary perception of division. We'll use the multiplication machine. Division vertical. There's a residual division. The two-step calculation formula。
(3) the reading and writing of within 10,000. ♪ count. Hundreds, thousands, thousands. Numbers are read, written and compared。
(4) added and subtracted. Plus, minus. Plus. Adding to calculate, adding to minus。
(5) mixed operation. ♪ multiply and minus. A two-step calculation. Little brackets。
(ii) volume and measurement
Time, minutes, seconds。
Rice, centimetres, centimetres awareness and simple calculations。
Kilo (kg) awareness
(iii) geometric preliminary knowledge
Preliminary recognition of line and segment. ♪ antagonal preliminary recognition. Straight corner。
(iv) applications
Application of additions and subtractions in one step. # the application of multiplication and dichotomy. ? An easier two-step calculation application。
(v) practical activities
Content closely linked to life. For example, a survey of household spending for this week's consumption shows what mathematical problems come to mind。
The third grade knowledge point and the hardest part
(i) number and calculation
(1) multiply, divided by one digit. One multiplier is the multiplication of a single number (the other multiplier normally does not exceed three digits). Multiplication of 0. Multiplication. Divide is the one-digit division. 0 divided by one number. Multiplication is used to determine division. Cut。
(2) multiplier, dividing of two digits. One multiplier is a multiplication of two digits (the other multiplier normally does not exceed three digits). A simple algorithm of zero at the end of the multiplier. Multiplication calculations. Divide is the dichotomy. A simple method of multiplying and dividing。
(3) four hybrid operations. The two-step calculation formula. Use of small brackets。
(4) preliminary perception of scores. Initial recognition of scores, reading and writing. Look at the size of the fraction. Simple equal denominator plus minus。
(ii) awareness and simple calculations of quantity and measure of km (km), mm. Tons, grams and simple calculations。
(iii) the characteristics of the initial geometric knowledge rectangular and square. The perimeter of rectangular and square. Parallel quadrilateral visual recognition. The perimeter means. Rectangular, square perimeter。
(iv) quantitative relationships common to application topics. Answers the application of the two-step calculation。
(v) practical activities relate to the organization of events that come into contact with them. For example, weather events are recorded within 10 days, sorted and analysed briefly。
4th grade knowledge point and difficulty point
(i) number and calculation
(1) the reading and writing of more than one billion。
In thousands, 100,000, millions, millions. Decimal relationships between adjacent units. Read and write. The size of the number. Approximate in 10,000 units。
(2) added and subtracted。
Add, minus。
A simple calculation of the additions and subtractions that are close to the tenth to the hundredth。
Add, subtract the relationship between the parts of the formula. For unknown numbers x。
(3) multiplier, division is a three-digit multiplier, division。
Multiplier is the three-digit multiplier. The cumulative change. Division is three-digit. The unchanging nature. A simple algorithm with zero at the end of the divided and divided。
A simple estimate multiplied, divided。
Multipliers are close to 10, 100 simple algorithms。
Multiply, divide the relationship between the parts of the equation. For unknown numbers x。
(4) four hybrid operations。
Brackets. Three-step calculation formula。
(5) the integer number and the laws of its four calculations。
Natural and integer. Decimal count. Read and write。
Four are the meaning of the calculations. Relationship between addition and reduction, multiplication and division. Whole and residual division。
The law of operation. Easy to calculate。
(6) meaning, nature, additions and subtractions of decimals。
The meaning and nature of decimals. Comparison of decimal sizes. The decimal changes the decimal size. Approximation of decimals
Added and subtracted. The law of plus operations is extended to decimals。
(note: if the decimal were to be taught in series, the initial recognition of the decimal could be placed at the appropriate level in front of it)。
(ii) volume and measurement
Year, month, day. Year, year. Century. 2400 hours timing method。
The measure of the angle。
Area units。
(iii) geometric preliminary knowledge。
A straight line. Measurement of distance (tools, steps, observations)。
Ray. Straight angle, sharp angle, blunt angle, square angle, round corner. Draw line. Parallel line. Draw parallel lines。
The characteristics of a triangle. The inner corner of the triangle。
(iv) preliminary statistical knowledge
Simple data collation. Preliminary perception of simple statistical charts. Meaning of average. Seeks a simple average。
(v) the application of three-step computations that are relatively easy to calculate using a combination of cross-references。
The fifth grade knowledge point and the worst
Decimal multiplications, decimals, simple equations, polygonal area, statistics and possibilities are the main teaching elements of this book。
With regard to numbers and algebras, the course material provides for decimal multipliers, decimals and simple equations. The multiplication and dichotomy of decimals have a wide range of applications both in real life and in mathematics, as basic knowledge and basic skills that primary school students should acquire and develop. This component is based on the first four calculations and decimal additions and subtractions, and continues to develop the four computational abilities of pupils. The simple equation is a unit that centralizes the initial knowledge of algebra at the primary level, in which the elements of alphanumeric expression, the nature of equations, the decomposition of simple equations, the use of equations to express equivalents to solve simple practical problems are arranged to further develop the abstract thinking of students and improve their ability to solve problems。
In terms of space and graphics, this course contains two modules on the area of observation objects and polygons. On the basis of the knowledge and experience available, students are given experience in learning through a rich and realistic mathematical exercise that allows them to recognize the shape and relative position of objects seen from different directions; explore and appreciate the characteristics of the graphics, the relationship between the graphics, and the transformation between the graphics, as well as the relationship between the parallel quadrilaterals, triangles, ladders, area formulas and formulas, permeating the mathematical thinking methods of smoothing, rotating, transforming and promoting the further development of students'spatial concepts。
In terms of statistics and probabilities, the material in this book allows students to learn about possibilities and medians. (b) to learn, through operation and experimentation, the possibility of events, etc., and the fairness of the rules of the game; on the basis of averages, medians are taught to give students an understanding of the statistical significance, respective characteristics and scope of application of the average and median; the role of statistics and probability in real life is further understood。
In terms of mathematical solutions, teaching material combines two modules: decimal multiplication and division, which are used to calculate knowledge to solve simple problems in life; on the other hand, the teaching of “mathematically broad angles” has been arranged to infiltrate students through observation, guesswork, experiments, reasoning, etc., in the mathematical thinking method of initial digital coding, and to appreciate that the regular scheduling of numbers can make the exchange of information between people safe, orderly and quick, facilitating people's lives and work and feeling the glamour of mathematics. To develop students'sense of symbolism and their ability to observe, analyse, reason and develop their sense of interest in and discovery and appreciation of mathematical beauty。
6th grade math
(i) number and calculation
(1) multiplication and division of fractions. The meaning of the fraction multiplier. Multiplication of fractions. The operating law of the multiplication extends to the fraction. Countdown. Meaning of fraction division. Split。
(2) a combination of four fractions. A four-point hybrid operation。
(3) percentage. The meaning and writing of percentages. Percentages and fractions, decimals。
(ii) ratio and proportion
The meaning and nature of the comparison. Meaning and basic nature of the ratio. Depropriation. Quantities in positive and inverse proportions。
(iii) geometric preliminary knowledge
Round knows. Round rate. Draw a circle. Round's perimeter and area. Fan recognition. Preliminary knowledge of axle symmetry. Cylinder awareness. The surface area and volume of the cylinder. The cone knows. The volume of a cone. The ball and the ball radius, the first understanding of the diameter。
(iv) preliminary statistical knowledge
Statistical tables. Bar, circuit, sector。
(v) applications
Four applications (including engineering). Actual application of percentages (includes calculation of growth rate, eligibility rate, interest rate, tax rate, etc.). Scale. Proportional distribution。
(vi) practical activities
Organization of events in connection with the social situation to which the student is exposed. For example, in the bedroom at home, a plan is drawn。
(vii) collating and reviewing
