Teaching outline of primary school mathematics by People's Education Press
Three-year (6 class hours per week) teaching content (1) calculation method of reading and writing within (1) hundred million. Counting units are "one hundred thousand", "one million" and "ten million". Decimal relationship between adjacent counting units. How to read and write numbers 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 X. (3) Multiplication and division of two digits. A multiplier is a multiplication of two digits (the other multiplier is generally no more than three digits). Changes in products. Simple algorithm with zero at the end of multiplier. Multiplication check calculation. A divider is the division of two digits. Invariance of quotient. Simple algorithm of adding 0 at the end of dividend and divisor. Simple multiplication and division algorithm. 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 X. (4) Estimation of large numbers. Introduction of abacus or calculator. [Note: For example, estimate how many seats there are in a theater and how many seedlings there are in a plot. 】 (5) elementary arithmetic. Formula problem of three-step calculation. The use of parentheses. (6) a preliminary understanding of the 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 of the quantity and measurement of kilometers (kilometers) and tons. Year, month and day. Flat year and leap year. Century. 24-hour timing method. Measurement of angle. Area unit. (3) The significance of the initial knowledge area of geometry. The area of a rectangle or square. 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. [Note: Contents marked with * are optional (the same below). These contents are not regarded as equal requirements, nor are they regarded as examination contents. ] (4) Preliminary knowledge of statistics A preliminary understanding of simple statistical charts. Collection and arrangement of data. The meaning of the average, find the simple average. ? (5) The quantitative relationship of common application problems. Solve the application problem of two-step calculation. (6) 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. Teaching requirements: 1. Know the counting units of "100,000", "10,000" and "10 million" and master the decimal counting method initially. You can read and write numbers within 100 million according to several levels. 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 add and subtract tens of thousands of integers, and 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. Master the written calculation rules of two-digit multiplication and division, and can write multiplication and division. The position of the swap multiplier will be used to check the multiplication operation. Know the invariance of quotient. Can calculate the multiplication and division of one digit and two digits (the product is within 100). Multiplier and divisor are the multiplication and division of whole ten or whole 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. Mastering the order of elementary arithmetic, you can work out three-step problems. Parentheses will be used. 5. Preliminary understanding of scores. Can read and write simple fractions. Will compare scores with the same denominator. Learn to calculate simple addition and subtraction of fractions with the same denominator. 6. Know the length unit of kilometer (kilometer), and know 1 kilometer = 1 ,000 meters. If you know the mass unit ton, you will know that 1 ton = 1 000 kg. 7. Know the time unit year, month and day, and know the number of days in a normal year, a leap year and a month. A 24-hour timer will be used to indicate the time. 8. Know the meaning of area. Know the area unit (square meter, square decimeter, square centimeter, hectare, square kilometer). 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. 9. Initially learn to use measuring tools to measure straight lines and short distances on the ground. Knowing the ray and angle, knowing the size of the angle, I will 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. 10. Preliminary understanding of simple statistical chart. Understand the process of collecting and organizing data. If you understand the meaning of average, you will find a simple average. Through statistical materials, students can understand the achievements of China's socialist construction. 1 1. Master the common quantitative relations. It can solve the application problem of two-step calculation. 12. Combine problem solving with calculation, and further cultivate students' habit of checking and checking, as well as a serious and responsible attitude. ? 13. Through practical activities, I further felt the significance of data collection and arrangement. The relationship between (1) number and the calculation of (1) integer and its four operations and algorithms for four-year teaching content (5 class hours per week). 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. (2) The meaning, nature and four operations of decimals. [Note: If decimals are taught in stages, the initial understanding of decimals can be arranged at the appropriate grade in front. ] The meaning and nature of decimals. Comparison of decimal sizes. Decimal shift causes the change of decimal size. Approximation of decimals. Addition and subtraction. Multiplication and division. Approximation of product sum quotient. The algorithm of cyclic decimal is extended to decimal. (3) Decimal elementary arithmetic. Brackets. Elementary arithmetic. *(4) Use a calculator to calculate large numbers or explore related laws. (5) The divisibility of numbers. 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. (6) 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. (2) Basic knowledge of algebra uses letters to represent numbers. Simple equation (ax b = c, ax bx = c). Solving application problems with column equations. (3) unit of volume of quantity and measurement. Singular number and composite number (composite number is generally not used to calculate area or volume). (4) Preliminary knowledge of geometry? The characteristics of a triangle. The sum of the internal angles of a triangle. Characteristics of parallelogram and trapezoid. The area of parallelogram, triangle and trapezoid. * combination graphics. (5) Collection and classification of statistical preliminary knowledge data. Simple statistics. Take the average value according to the collected data. (6) Problems in application. Solve the application problem of three-step calculation. (seven) to carry out practical activities related to things around organizational activities. 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 natural numbers and integers. Master decimal counting method, and can read and write multiple digits according to several levels. 2. 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. 3. 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. (A comprehensive application of the above concepts is not required. ) 4. Understand the meaning and nature of decimals. Proficient in decimal four writing arithmetic (the number of digits is the same as integer four) 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). 5. 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. 6. Can 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. 7. 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. 8. Master the characteristics of triangle, parallelogram and trapezoid. Know the sum of the angles inside the triangle. Master the area calculation formula of parallelogram, triangle and trapezoid. 9. 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. 10. 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. 1 1. Through practical activities, cultivate students' ability to find mathematical problems from surrounding situations, apply what they have learned to solve problems, and cultivate students' mathematical consciousness.