Grade?One
course content
(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 addition, subtraction and addition-subtraction mixed problems.
(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) Quantity and measurement
Understanding of the clock face (hourly time).
Understanding and simple calculation of RMB.
(3) Preliminary knowledge of geometry
Intuitive understanding of cuboid, cube, circle letter and ball.
Intuitive understanding of cuboid, square, triangle and circle.
(d) application problems
Simple one-step addition and subtraction.
(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.
Teaching requirements
1. Count the number of different objects and gradually abstract the numbers. Will distinguish between a few and a few. Master the composition of numbers within 10. Can write numbers correctly and neatly.
2. Know the counting units "one" and "ten", and preliminarily understand the significance of this number in the unit and the tenth place. Proficient in calculating numbers within 100, and able to read and write numbers within 100. Mastering the number within 100 is composed of ten and one. Master the numerical order within 100 and compare the numerical sizes within 100.
3. Know the meaning of addition and subtraction, add and subtract the names of all parts in the formula, and add and subtract the related households. Skillfully calculate the addition and subtraction of one digit, the addition and subtraction of two digits and the addition and subtraction of two digits. Can calculate two steps of addition and subtraction.
4. Understand the symbols "=" > ""< These symbols are used to indicate the size of numbers.
5. Know the clock face and the hour. Understand RMB. Know 1 yuan = 10 angle, 1 angle = 10 point. Cherish the RMB.
6. According to the meaning of addition and subtraction, it is easy to solve the application problem of one-step operation of addition and subtraction. Knowing the conditions and questions in the topic, I will list the formulas, indicate the name of the company I got, and dictate the answers.
7. Cultivate students' good habits of doing problems carefully, calculating correctly and writing neatly.
8. Through practical activities, students can experience the close relationship between mathematics and daily life.
Grade?Two
course content
(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. 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. Formula for two-step calculation. parentheses
(2) Quantity and measurement
Understanding of hours, minutes and seconds.
Understanding and simple calculation of meter, decimeter and centimeter.
Understanding of kilograms (kilograms).
(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 math problems do you think of when you investigate the expenditures of various consumer items this week?
Teaching requirements
1. Know the counting units "hundred", "thousand" and "ten thousand", and know the decimal relationship between two adjacent counting units. Master the number series within 10,000, read and write numbers, and compare the sizes of numbers.
2. Master the written calculation rules of addition and subtraction. Can use vertical calculation to solve simple continuous addition problem. I am proficient in the addition and subtraction of two digits (the sum is within 100), I can calculate the addition and subtraction of integer hundreds and thousands, and I can check the addition and subtraction by using the position of the exchange addend. Initially cultivate students' habit of checking and checking.
3. Know the meaning of multiplication and division, the names of all parts in the multiplication and division formula, and the relationship of multiplication and division. Know multiplication formula, quadrature and quotient. Skillfully calculating divisor is single digit and quotient is single digit division with remainder.
4. Have a preliminary grasp of the order of mixed operations, and be able to calculate two-step problems. Know the brackets.
5. Know the length units of meters, decimeters and centimeters. Know the actual length 1 m and 1 cm. Know 1 m = 10 decimeter, 1 decimeter = 10 cm. A simple calculation of the length will be made.
6. Understand the mass unit kilogram (kg) and initially establish the quality concept of 1 kg.
7. Know the time unit hours, minutes and seconds. Yes 1 =60 minutes, 1 minute =60 seconds. Initially establish the concept of hours, minutes and seconds. Develop a good habit of observing and cherishing time.
8. Step to know the straight line and the line segment, measure the length of the line segment, and draw the line segment (only the whole centimeter).
9. Have a preliminary understanding of angles and right angles, and know the names of various parts of angles. You can judge right angles and draw right angles with a triangular ruler.
10. It can solve the application problem of addition, subtraction, multiplication and division in one step. The application problem of simple two-step calculation can be solved step by step.
1 1. Cultivate students' mathematical consciousness through practical activities.
Grade?Three
course content
(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. Division 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 calculation with 0 at the end of multiplier
Multiplication check calculation. A divider is the division of two digits.
Simple multiplication and division algorithm.
(3) Four-mixed operation.
Formula problem of three-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) Quantity and measurement
Knowledge and simple calculation of kilometers (kilometers) and millimeters.
Understanding and simple calculation of tons and grams.
Area unit.
(3) Preliminary knowledge of geometry
The characteristics of rectangles and squares. Perimeter of rectangle and square.
Intuitive understanding of parallelogram.
The meaning of area. The area of a rectangle or square.
(d) application problems
Common quantitative relations. Solve the application problem of two-step calculation.
(v) Practical activities
Organize activities related to the surrounding things. For example, record the weather in 10 days, sort it out and analyze it briefly.
Teaching requirements
1. Master the written calculation rules of multiplication and division of one digit (generally no more than three digits) and be proficient in calculation. Multiplication is used to check division (including division with remainder).
2. Master the written rules of the two-digit multiplication and division method, and be able to write the multiplication and division method. The position of the swap multiplier will be used to check the multiplication operation. Can calculate the multiplication and division of one digit and two digits (the product is within 100). Multipliers and divisors are multiplication and division of integer decimal system. Learn some simple algorithms.
3. Master the order of elementary arithmetic and calculate three-step problems. Parentheses will be used.
4. Have a preliminary understanding of music score, and be able to read and write simple music score. Will compare scores with the same denominator. Learn to calculate simple addition and subtraction of fractions with the same denominator.
5. Know the length unit kilometers (kilometers) and millimeters. Know 1 km = 1000 m, 1 cm = 1 0 mm. If you know the mass unit of tons and grams, you will know1ton = 1000 kg,1kg. A simple calculation of length and mass will be made.
6. Master the characteristics of rectangles and squares. Can draw rectangles and squares on grid paper. Knowing the meaning of perimeter, we can calculate the perimeter of rectangle and square.
7. Know the meaning of area. Know the area unit (square meter, square decimeter, square centimeter). The area concepts of 1 m2, 1 decimeter square and 1 cm square were initially established. Master the area calculation formula of rectangle and square.
8. Master the common quantitative relations. Learn to solve the application problems of two-step calculation.
9. Cultivate students' mathematical consciousness through practical activities.
Grade?Four
course content
(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 methods within 100 million. Comparison of the size of numbers. About the number of tens of thousands.
(2) 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.
Changes in products. Invariance of quotient. Simple algorithm of adding 0 at the end of dividend and divisor.
A simple algorithm of multiplier approaching integer ten or integer hundred.
Multiply and divide the relationship between the parts in the formula to find the unknown X.
(4) Estimation of large numbers ①. Introduction of abacus or calculator.
(5) Elementary arithmetic.
Brackets. Formula problem of three-step calculation.
(6) Integer and its four operations and their 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.
(7) The meaning and nature of decimals. Addition and subtraction.
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.
(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 ①. Vertical line Draw a vertical line. Parallel lines. Draw parallel lines.
The characteristics of a triangle. The 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) Application problems
Solve the application problem of two-step calculation. Solve the easy application problem of three-step calculation.
(vi) Practical activities
Organize activities related to the surrounding things. For example, during holidays, student groups organize an investigation activity. According to the budget, how much does each person have to pay for the activity?
Teaching requirements
1. Know the counting units "100,000", "million" and "ten million" and master the decimal counting method. You can read and write multiple numbers according to several levels. Know natural numbers and integers. According to the requirements, a number will be rounded off and the mantissa will be omitted, and a rough number will be written.
2. Can orally calculate the addition and subtraction of tens of thousands of integers. Add and subtract hundreds and dozens. Learn simple addition and subtraction algorithms close to integer ten and integer hundred, and be able to calculate flexibly. Master the relationship between the parts in the addition and subtraction formula, and find the unknown X according to this relationship.
3. Check the multiplier with the position of the exchange multiplier. Know the invariance of quotient. Multiplier and divisor are the multiplication and division of integer hundred. Learn some simple algorithms. Master the relationship between the parts in the multiplication and division formula, and find the unknown X according to this relationship.
4. Understand the meaning of the four operations and master the relationship between addition, subtraction, multiplication and division, so that students can be inspired by dialectical materialism. Algorithms can be applied to perform some simple operations. Four operations will be performed with parentheses.
5. Understand the meaning and nature of decimals. Proficient in decimal addition and subtraction (the limit of digits is the same as integer addition and subtraction) and simple oral calculation.
6. Know the time unit year, month and day, and know the number of days in normal year, leap year and every month. A 24-hour timer will be used to indicate the time.
7. Know the ray and angle, know the size of the angle, measure the angle with a protractor, and draw the angle according to the specified degree. Have a preliminary understanding of vertical lines and parallel lines, and can draw vertical lines, parallel lines, rectangles and squares with straightedge and triangular ruler. Master the characteristics of triangles. Know the sum of the angles inside the triangle.
8. Know the unit of land area (hectares, square kilometers). Learn to use measuring tools to measure straight lines and short distances on the ground.
9. Have a preliminary understanding of simple statistical charts. Understand the process of collecting and organizing data. Understand the meaning of average. You will find a simple average. Through statistical materials, students can understand the achievements of China's socialist construction.
10. It can solve the application problem of two-step calculation. It can solve the relatively easy application problem of three-step calculation.
1 1. Combine problem solving with calculation, and further cultivate students' habit of checking and checking, as well as a serious and responsible attitude.
12. Through practical activities, cultivate students' ability to find mathematical problems from surrounding situations and solve problems with what they have learned, and cultivate students' mathematical consciousness.
Grade?Five
course content
(1) Quantity and calculation
Divisibility of (1) number.
The characteristics of numbers divisible by 2, 5 and 3. Odd and even numbers. Prime numbers and composite numbers. /kloc-prime table within 0/00. Prime factorization. Factors and multiples. Common divisor and common multiple. Find the greatest common divisor. Find the least common multiple.
(2) Multiplication and division of decimals.
Multiplication and division. Approximation of product sum quotient. The circular decimal multiplication rule is extended to decimals.
Not counting elementary arithmetic (no more than three steps).
* (3) Use a calculator to calculate large numbers or explore related laws.
(4) The meaning and nature of the score.
The meaning of the score. Fractional unit. Score comparison. The relationship between fraction and division. True points and false points. There are scores. Basic properties of fractions. About integrals. Conversion between fractions and decimals.
(5) addition and subtraction of scores.
Significance of addition and subtraction of fractions. Add and subtract fractions (excluding fractions). The addition algorithm is extended to fractions. Fraction, decimal addition and subtraction mixed operation.
(2) Basic knowledge of algebra
Use letters to represent numbers. Simple equation (ax b = c, ax bx = c). Solving application problems with column equations.
(3) Quantity and measurement
Unit of volume.
Singular number and composite number (composite number is generally not used to calculate area or volume).
(4) Preliminary knowledge of geometry
Characteristics of parallelogram and trapezoid. The area of parallelogram, triangle and trapezoid. * combination graphics.
Characteristics of cuboids and cubes. The surface areas of cuboids and cubes. The meaning of volume, the volume of cuboids and cubes.
(5) Preliminary knowledge of statistics
Data collection and classification. Simple statistics. Take the average value according to the collected data.
(6) Application problems
Meeting issues. Solve the application problem of three-step calculation.
(7) Practical activities
Organize activities related to the social environment that students are exposed to. For example, investigate the amount of water, electricity, gas and rent paid by 10 households in a month, or the annual output of various crops of 10 farmers, and put forward some mathematical problems.
Teaching requirements
1. Know the concepts of divisibility, divisor and multiple, prime number and composite number, and understand their relations and differences. Master the characteristics of numbers divisible by 2, 5 and 3. Will decompose the prime factor (generally no more than two digits). Will find the greatest common divisor (limited to two numbers) and the least common multiple (not required to comprehensively use the above concepts).
2. Proficient in decimal multiplication and division (the number of digits is the same as that of integer multiplication and division) and simple oral calculation. Rounding will be used to intercept the approximate value of the product sum quotient. Elementary arithmetic can be decimal (no more than three steps).
3. Understand the meaning and basic nature of the score. Will compare the size of the score, clever points on and off. Fractions and decimals are interchangeable. Understand the significance of fractional addition and subtraction. Master the calculation rules of fractional addition and subtraction, and be able to calculate fractional addition and subtraction skillfully. Correctly perform fractional addition and subtraction mixed operations. Know the addition and subtraction of simple fractions.
4. Will use letters to represent numbers, common quantitative relations, operation rules and formulas. A preliminary understanding of the meaning of the equation is helpful for us to solve simple equations.
5. Master the commonly used units of measurement and the rate of advance between units. Simple conversion between singular and complex numbers will be carried out.
6. Master the characteristics of parallelogram and trapezoid. Master the area calculation formula of parallelogram, triangle and trapezoid.
7. Mastering the characteristics of cuboids and cubes will calculate their surface areas. Know the meaning of volume and the commonly used units of volume (cubic meter, cubic decimeter, cubic centimeter, liter, milliliter). Master the volume calculation formulas of cuboids and cubes.
8. Initially learn to collect data and fill in simple statistical tables. The average will be based on the collected data. Through convincing data and statistics, educate students to love the motherland and socialism.
9. It can solve the application problem of three-step calculation. Learn to set equations to solve application problems. Be able to apply what you have learned to solve some simple practical problems in life.
10. Through practical activities, cultivate students' ability to find mathematical problems from surrounding situations and solve problems with what they have learned, and cultivate students' mathematical consciousness.
Grade?Six
course content
(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 nature of percentage. The significance and basic nature of proportion. Solution ratio. A proportional quantity and an inverse quantity.
(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. * Fan-shaped understanding. 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 ball and the radius and diameter of the 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
Teaching requirements
1. Understand the significance of fractional multiplication and division. Master the calculation rules of fractional multiplication and division. Multiplication and division that can calculate fractions. Able to calculate simple fractional multiplication and division. Can grade elementary arithmetic (no more than three steps).
2. Understand the meaning of percentage. Understand the application of percentage in practice. The calculation of percentage will be performed.
3. Understand the meaning and nature of the ratio. You can find the ratio and simplify the ratio. Understand the meaning and basic nature of proportion. Solution ratio. Understand the meaning of positive and negative proportion. Will determine whether the two quantities are proportional or inversely proportional. Through proportional teaching, students are further inspired by dialectical materialism.
4. Know the circle. Can draw a circle. Master the formula for calculating the circumference and area of a circle. By introducing the historical data of pi, students are educated in patriotism.
5. Know cylinders and cones. Calculates the surface area of the cylinder and the volumes of the cylinder and cone.
6. Can make simple statistical tables and draw simple statistical charts. Will do some simple statistical chart analysis, let students receive national education. Pay attention to neatness and beauty when drawing statistical charts.
7. Can solve the application problem of fractions and percentages (no more than two steps). Will use proportional knowledge to solve relatively simple application problems. I can read the scale on the map.
8. Through practical activities, students can initially understand the relationship between mathematics and society, and further feel the application of mathematics.
9. Consolidate and deepen the understanding of mathematics knowledge learned in primary schools through systematic arrangement and review. Be able to calculate reasonably and flexibly, choose simple solutions according to the specific situation of the topic, and use the knowledge learned to solve some simple practical problems in life.