Primary school mathematics is the foundation for students to learn mathematics in the future, so this foundation must be solid. The following is the "summary of primary school mathematics knowledge points" I compiled for you, for reference only. Welcome to read this article.

Knowledge points and difficulties of senior one.

(1) Quantity and calculation

Understanding the number within (1)20. Addition and subtraction.

Count. The composition, order, size, pronunciation and writing of numbers. Addition and subtraction. Addition and subtraction and mixed operation of addition and subtraction.

(2) Understanding the number within 100. Addition and subtraction. Count. Unit, ten. The order, size, pronunciation and writing of numbers.

Two-digit addition and subtraction of ten digits and two-digit addition and subtraction of one digit. Addition and subtraction in two-step calculation.

(2) Understanding the quantity and measuring the clock face (the hour). Understanding and simple calculation of RMB.

(3) Preliminary knowledge of geometry

Intuitive understanding of cuboid, cube, cylinder and sphere.

Intuitive understanding of rectangle, square, triangle and circle.

(d) application problems

Simple one-step addition and subtraction. Fewer and fewer application problems (ability to grasp effective information)

(v) Practical activities

Choose content that is closely related to life. For example, according to the number of boys and girls in this class, the distribution of each group, what math problems come to mind.

Knowledge points and difficulties in senior two.

(1) Quantity and calculation

(1) Two digits plus or minus two digits. ? Add and subtract two digits from two digits. Vertical addition and subtraction. Addition and subtraction in two-step calculation.

(2) Table multiplication and table division. ? A preliminary understanding of multiplication. Multiplication formula. Vertical multiplication. A preliminary understanding of division. Find the quotient by multiplication formula. Vertical division. Division with remainder. Formula for two-step calculation.

(3) How to read and write numbers within 10,000. ? Count. Hundreds, thousands, tens of thousands. Comparison of reading, writing and size of numbers.

(4) addition and subtraction. ? Addition and subtraction. Continuous addition and addition check, subtraction and addition check.

(5) Mixed operation. ? Multiply first, then divide, then add and subtract. Two-step calculation problem. parentheses

(2) Quantity and measurement

Understanding of hours, minutes and seconds.

Understanding and simple calculation of meter, decimeter and centimeter.

Understanding of kilogram (kg)

(3) Preliminary knowledge of geometry

A preliminary understanding of straight lines and line segments. ? A preliminary understanding of horn. Right angle.

(d) application problems

Application of one-step operation of addition and subtraction. ? Application of one-step operation of multiplication and division. ? An easy-to-use problem in two-step calculation.

(v) Practical activities

Content closely related to life. For example, what kind of mathematical problems do you think of when you investigate the expenditures of various consumer items this week?

Knowledge points and difficulties in grade three

(1) Quantity and calculation

(1) One-digit multiplication and division. A multiplier is a multiplication of one digit (the other multiplier generally does not exceed three digits). Multiplication of 0. Multiply. A divisor is the division of a single digit. 0 divided by a number. Check multiplication and division. Even division.

(2) Multiplication and division of two digits. A multiplier is a multiplication of two digits (the other multiplier is generally no more than three digits). Simple algorithm with zero at the end of multiplier. Multiplication check calculation. A divider is the division of two digits. Simple multiplication and division algorithm.

(3) Elementary arithmetic. Formula for two-step calculation. The use of parentheses.

(4) A preliminary understanding of music score. Preliminary understanding, reading and writing of scores. Look at the picture and compare the scores. Simple addition and subtraction of fractions with the same denominator.

(2) Understanding and simple calculation of quantity and measurement kilometers (kilometers) and millimeters. Understanding and simple calculation of tons and grams.

(3) The characteristics of rectangle and square. Perimeter of rectangle and square. Intuitive understanding of parallelogram. The meaning of perimeter. The perimeter of a rectangle or square.

(D) Common quantitative relations of application problems. Solve the application problem of two-step calculation.

(5) Practical activities organize activities related to things in contact with the surroundings. For example, record the weather in 10 days, sort it out and analyze it briefly.

Knowledge points and difficulties in the fourth grade

(1) Quantity and calculation

How to read and write numbers within (1) billion?

Counting units are "one hundred thousand", "one million" and "ten million". Decimal relationship between adjacent counting units. Reading and writing. Comparison of the size of numbers. About the number of tens of thousands.

(2) addition and subtraction.

Addition and subtraction.

Simple addition and subtraction algorithm close to integer ten and integer hundred.

The relationship between the parts in the addition and subtraction formula. Find the unknown number X.

(3) Multiplication and division is a three-digit multiplication and division method.

Multiplier is the multiplication of three digits. Changes in products. The divisor is the division of three digits. Invariance of quotient. Simple algorithm of adding 0 at the end of dividend and divisor.

_ Simple estimation multiplication and division method.

A simple algorithm of multiplier approaching integer ten or integer hundred.

The relationship between the parts in the multiplication and division formula. Find the unknown number X.

(4) Elementary arithmetic.

Brackets. Formula problem of three-step calculation.

(5) Integer and its four operations' relations and operation rules.

Natural numbers and integers. Decimal symbol. Reading and writing.

The significance of four operations. The relationship between addition, subtraction, multiplication and division. Divisibility and division with remainder.

Operating rules. Simple operation.

(6) The meaning, nature, addition and subtraction of decimals.

The meaning and essence of decimals. Comparison of decimal sizes. Decimal shift causes the change of decimal size. Approximation of decimals

Addition and subtraction. The law of addition is extended to decimals.

(Note: If decimals are taught in stages, the initial understanding of decimals can be arranged in the appropriate grades ahead).

(2) Quantity and measurement

Year, month and day. Flat year and leap year. Century. 24-hour timing method.

Measurement of angle.

Area unit.

(3) Preliminary knowledge of geometry.

Determination of straight line. Measure the distance (tool measurement, step measurement, visual inspection).

Ray. Right angle, acute angle, obtuse angle, right angle, _ fillet. Vertical line Draw a vertical line. Parallel lines. Draw parallel lines.

The characteristics of a triangle. _ Sum of the internal angles of a triangle.

(d) Basic knowledge of statistics

Simple data collation. A preliminary understanding of simple statistical charts. The meaning of the average. Find a simple average.

(5) Applying the comprehensive formula of problem list to solve the relatively easy three-step calculation application problem.

Knowledge points and difficulties in grade five

Fractional multiplication, fractional division, simple equation, polygon area, statistics and possibility are the key teaching contents of this textbook.

In number and algebra, this textbook arranges decimal multiplication, decimal division and simple equations. The multiplication and division of decimals is widely used in real life and mathematics learning, and it is the basic knowledge and skills that primary school students should master and form. This part of the content is to continue to cultivate students' four decimal operations on the basis of learning four integer operations and decimal addition and subtraction operations before. The unary equation is a unit that focuses on teaching the basic knowledge of algebra in primary school. In this unit, the contents of expressing numbers with letters, the properties of equations, solving simple equations, expressing equivalence relations with equations and solving simple practical problems are arranged, which further develops students' abstract thinking ability and improves their ability to solve problems.

In terms of space and graphics, this textbook arranges two units to observe the area of objects and polygons. On the basis of existing knowledge and experience, through rich mathematical practice activities, students can gain the experience of inquiry learning and identify the shapes and relative positions of objects seen from different directions; Explore and understand the characteristics of various graphics, the relationship between graphics and the transformation between graphics, master the area formulas of parallelogram, triangle and trapezoid and the relationship between formulas, infiltrate the mathematical thinking method of translation, rotation and transformation, and promote the further development of students' space concept.

In statistics and probability, this textbook allows students to learn probability and median. Through operation and experiment, let students experience the equal possibility of events and the fairness of game rules, and learn to discover the possibility of certain events; Teach the median on the basis of the average, so that students can understand the statistical significance, characteristics and application scope of the average and the median respectively; Further understand the role of statistics and probability in real life.

In solving problems with mathematics, on the one hand, the textbook combines two units of decimal multiplication and division, and teaching uses multiplication and division knowledge to solve simple problems in life; On the other hand, the teaching content of "Wide Angle of Mathematics" is arranged. Through observation, guessing, experiment, reasoning and other activities, the elementary mathematics thinking method of digital coding is infiltrated into students, and it is realized that the regular arrangement of numbers can make the information exchange between people safe, orderly and fast, bring convenience to people's life and work, and feel the charm of mathematics. Cultivate students' sense of symbol, ability of observation, analysis and reasoning, interest in exploring mathematical problems, and awareness of discovering and appreciating mathematical beauty.

Sixth grade mathematics

(1) Quantity and calculation

Multiplication and division of (1) fractions. Importance of fractional multiplication. Fractional multiplication. The arithmetic of multiplication is extended to fractions. Countdown. Significance of fractional division. Fractional division.

(2) Fractional elementary arithmetic. Fractional elementary arithmetic.

(3) percentage. The meaning and writing of percentage. Conversion between percentages, fractions and decimals.

(2) Ratio and proportion

The meaning and nature of ratio. The significance and basic nature of proportion. Solution ratio. A proportional quantity and an inverse quantity.

(3) Preliminary knowledge of geometry

Understanding of the circle. Pi Draw the circumference and area of a circle. _ Knowledge of the industry. A preliminary understanding of axisymmetric graphics. Understanding of cylinder. Surface area and volume of cylinder. Understanding of the cone. The volume of a cone. A preliminary understanding of the radius and diameter of a ball and a ball.

(d) Basic knowledge of statistics

Statistical table. Bar chart, line chart, _ fan chart.

(5) Application problems

Grade four application problems (including engineering problems). The practical application of percentage (including the calculation of germination rate, qualified rate, interest rate and tax rate, etc.). ). scale. Proportional distribution.

(vi) Practical activities

Organize activities related to the social environment that students are exposed to. For example, draw a floor plan for the bedroom at home.

(7) sorting and review

Expanding reading: the learning method of primary school mathematics

1, not only to listen to lectures, but also to think.

Many students can listen carefully in class and have a deep memory of basic knowledge such as formulas and concepts, but they can't do it when they encounter practical problems. Therefore, students should not only listen carefully in class, follow the teacher's ideas, but also think and understand the problem-solving ideas. For mathematics learning, the most important thing is the cultivation of problem-solving ability and knowledge application ability. If a student only remembers the basic knowledge such as formulas and concepts, but doesn't know how to use these knowledge to solve problems, then his mathematics learning ability is very poor, and his learning efficiency and quality are also very low.

2. Broaden the thinking of solving problems

In mathematics teaching, teachers will guide students to think and find different methods to solve problems. Therefore, students should make good use of these opportunities, broaden their way of thinking and cultivate their own thinking ability. Through these methods, students can exercise their thinking ability and adaptability, learn to draw inferences from others, and thus improve their math scores.

3. Make good use of the wrong set of questions

In the process of learning, students will inevitably make mistakes. At this time, it is necessary to integrate and summarize the wrong questions and establish a set of wrong questions. With the help of the wrong problem set, students can know the reasons for their mistakes and master the correct problem-solving methods, so as to avoid making the same mistakes again. In addition, in the process of learning, we should always look through the wrong set of questions to deepen our impression, so as to remove the shortcomings of knowledge and make up for the loopholes in knowledge.