Part I: Knowledge points of the whole book 1. Number and algebra (unit 1, 2, 4, 6, 7, 8) 1. Master the method of continuous addition of at least two identical addends, understand the meaning of multiplication, and master the writing, reading and using methods of multiplication. 2. Compile and memorize multiplication formulas from 2 to 9, and know the meaning of each multiplication formula. One formula can write two formulas about multiplication. Skillfully use the deformation calculation of formula and multiplication formula to perform multiplication operation or solve practical problems. Will summarize and sort out the multiplication formula table 3. Understand the significance of estimation, cultivate estimation consciousness and make simple estimation. 4. Understand the process of average division and understand the meaning of average division, which will be expressed by division. Master the division formula and the reading and writing of the names of each part. Can use the formula to accurately calculate division and solve practical problems. 5. Understand the reciprocal relationship of multiplication and division. Understand the relationship between multiples, the meaning of multiples and the relationship between multiples and bisection. 6. Understand the significance of the four operations, master the operation sequence and calculate accurately. 7. Correctly grasp the basic units of time: hours, minutes and seconds. Read and write the time indicated by the clock correctly, and understand the relationship between minutes and seconds, and you will calculate the time difference. Second, space and graphics (units 3 and 5) 1. Initially establish the concept of space, you should know that standing in different positions can see up to three faces. When you look at the same object from different angles, you will see different shapes. 2. Understand the correct meaning of the front, side and top of the object. Will observe a simple combination of graphics and imagine the shapes of the front, sides and objects observed above according to the graphics. 3. Establish the orientation of "East", correctly identify the four directions of southeast, northwest and northwest, and give one direction and others will follow the other directions. Can read simple road map and describe the walking route in simple words. 3. Statistics and Probability (Unit 9) 1. Further experience the process of data investigation, collection and arrangement, understand the significance of statistics, and be able to answer simple questions according to the data in the chart. 2. Be able to use different methods to collect data according to simple questions and record the data in statistical charts. 3. Experience the certainty and uncertainty of things in the guessing activities. Fourth, practical activities (specific knowledge points are in each section) Part II: Unit and lesson knowledge points Unit 1 and multiplication unit knowledge points: 1. Master at least two methods of adding multiple identical addends; According to addition, understand the relationship between multiplication and listing multiplication formulas. 2. The meaning of multiplication, writing and reading. 3. Use multiplication to solve practical problems in life. Knowledge points in class: Section 1: Counting will count the number of objects arranged in a square array in two different ways (row by row or column by column), and list two different addition formulas accordingly. Knowing that it is easier to express the addition of the same number with multiplication formula, I understand the necessity of learning multiplication. Section 2: Children's Paradise 1. Combined with solving problems, it experienced the process of abstracting the continuous addition formula of the same addend into multiplication formula. 2. Be able to rewrite the continuous addition formula of the same addend into multiplication formula, understand its meaning, master the names and pronunciation of each part, and calculate the result of simple multiplication formula by addition. Section 3: Some building blocks will count the number of arranged objects in two different ways and list the same multiplication formula. Section 4: Animal Party will use multiplication to solve simple practical problems in life and experience the significance of multiplication. Unit 2 multiplication formula (1) Unit knowledge: 1. Compile and memorize multiplication formulas from 2 to 5, and know the meaning of each multiplication formula. 2. Using the multiplication formula of 2-5, two or more related multiplication formulas can be correctly calculated with one multiplication formula. 3. Comprehensively apply the multiplication formula of 2-5. Knowledge points in class: Section 1: Wuhuanqi compiles and masters the multiplication formula of 5, and can use the multiplication formula of 5 to calculate and solve practical problems. The second section: pick peaches and consolidate the multiplication formula of 5, and skillfully calculate the multiplication. Section 3: Do housework, master the multiplication formula of 2 and calculate with the multiplication formula you have learned. Section 4: How many wheels are needed to compile and master the multiplication formula of 3, which can be used for multiplication in the table. Section 5: The cute little frog consolidates the multiplication formula of 2, 3 and 5, and can use the multiplication formula in the formula calculation table correctly and skillfully. Section 6: Bear invites guests to write and master the multiplication formula of 4, and will use the multiplication formula to calculate. Section 7: On the way home, in the process of solving problems, consolidate the multiplication formula from 2 to 5 and be proficient in oral calculation. Section 8: Exercise 1: Consolidate the application of multiplication formula from 2 to 5 for oral calculation and solve practical problems. Unit 3 Knowledge points of observation object: 1. Experiencing and observing the shape of an object in different positions is different. You can see at most three sides of the object. 2. Observe and identify simple objects composed of several cubes. 3. Solve simple and practical problems by multiplication. Knowledge points in class: Take a look at the first lesson (1). When you stand in different positions and observe an object, the shape you see may be different. At most, you can see three faces of the object (front, side and top). The second section takes a look at (2) building a simple object with a cube, and identifying the shapes of the front, side and top of the simple object in the activity of observing the simple object from the front, side and top. The third section, Festival Square, is the comprehensive application of the knowledge in the first three units of this book. Unit 4 Division and knowledge points of division unit: 1. Experience the process of "average score" 2. Complete a lot of "little by little" activities through several steps. 3. Use division to represent the process of equal division. 4. Understand the reciprocal relationship of multiplication and division. 5. Use division formula to solve practical problems. 6. Understand the relationship between "multiple" and equal division. 7. Master the calculation of multiplication and division in the table. Knowledge points in the class: In the first section, the peach experienced the meaning through the process of averaging a small number of objects. They can solve the average problem graphically and perceive two possibilities of average: completeness and surplus. In the second section, Apple can further solve some simple problems related to the average score through specific operations or graphic methods. The third section points out the diversity and rationality of the process and strategy of candy experiencing a large number of average points. The fourth section should know the meaning of banana divisor and master the reading, writing and naming of each part of the divisor formula. Will use the division formula to express and explain the process of average score. The fifth part shows the operation process and results of the average score by department. Section 6 Exercise 2 You can use the division formula to represent the average score in real life. In the seventh section, Xiao Xiong used the multiplication formula of 2~5 to find the quotient, and realized the difference and connection of multiplication and division methods. Section 8 sports meeting uses multiplication and division to solve simple practical problems. Section 9 Happy animals understand the meaning of "multiple" and will find the multiple relationship between two quantities by illustration or division. Section 10 Stationery stores should further understand the meaning of "times" and its connection with the meaning of multiplication and division. The eleventh section puts forward and solves the mathematical problems related to "times" in combination with specific conditions. Section 12 Comprehensive Exercise of Three Tables Multiplication and Division Section 13 Arrangement and Review (1) Unit 5 Direction and Position Unit Knowledge Points: 1. I can identify east, south, west and north in real scenes and use these words to describe the direction of objects. Under certain circumstances, given a direction, you will recognize other directions. Knowing the direction on the map, you can understand the simple road map. Knowledge points in class: Section 1: Southeast, Northwest, 1. Determine the direction with the help of existing life experience. 2. Know the direction on the map: The map is drawn in the direction of up north, down south, left west, right east. 3. Opposite direction: If one direction (east, south, west or north) is indicated, the other direction will be recognized. Exercise 4 1 in the second quarter. Practice identifying the direction in the picture and develop the concept of space. 2. Guide students to comprehensively use the knowledge they have learned about the direction to solve problems, cultivate students' application awareness and improve their living ability. Section 3 Visiting the elderly 1. According to the direction and distance, the relative position of two places can be determined. 2. Describe the specific route from one place to another and learn to look at the simple road map. Unit 6 hours, minutes and seconds Unit knowledge: 1. Understanding the clock face in combination with real life. 2. Master the relationship between hours, minutes and seconds and convert it into units. 3. In order to accurately read the time on the clock face, the time will be expressed in two ways. 4. Combine your own life experience and experience the length of time. Knowledge points in class: in the first section, I won the understanding of the clock face in combination with the situation; A preliminary understanding of time, minutes and their relationship. What can I do in the second quarter? Through specific activities, feel the length 1 min. Schedule in the third quarter 1. Guide students to make their own schedules. 2. Will tell the elapsed time according to the clock face. In the fourth section, students can use what they have learned to solve the math problems raised in the book and ask questions by looking at the pictures. Unit 7 multiplication formula (2) unit knowledge points: 1 Compile and memorize the multiplication formula from 6 to 9. 2. The multiplication in the table can be correctly calculated by the formula. 3. Solve related practical problems. 4. Simple estimation of the specific situation. Lesson knowledge: How many squares are there in the first lesson? 1. independently explore and write the multiplication formula of 6, focusing on the last 4 sentences. 2. Experience the strategy of estimation and cultivate the awareness of estimation. 3. Master the multiplication formula of 6, understand the relationship between two adjacent formulas, and solve some simple practical problems. How many days are there in a week in the second quarter? 1. Explore the multiplication formula of compiling 7 independently, focusing on the last three sentences. 2. I will use the multiplication formula to calculate the multiplication in the table and solve some simple practical problems. Buy the ball in the third quarter 1. Explore, compile and master the multiplication formula of 8 and 9. 2. Understand and master the relationship between formulas, calculate multiplication in tables, and solve some simple practical problems. Section IV Arrangement and Review (2) Let students summarize and reflect on their knowledge and skills, mathematical thinking methods and current emotions. Unit 8 knowledge of division unit: 1. Further understanding of multiplication and division. 2. Use the multiplication formula of 6~9 skillfully to find the quotient. 3. Solve the simple division problem in life. Knowledge points in class: giraffes and birds 1. Combined with the process of putting forward and solving the division problem, we can further understand the significance of division and master the method of finding quotient with the multiplication formula of 6~9. 2. Proficient in multiplication and division and multiplication formula in oral calculation table. In the second quarter, the rabbit is settled 1. Combined with the specific situation, put forward and solve problems, and carry out division of labor review on the two types of problems. 2. Understand the meaning of division and feel the mathematical law contained in the quantitative relationship. 3. Proficient in multiplication and division and multiplication formula in oral calculation table. The playground in the third quarter 1. Put forward and solve problems according to specific conditions. 2. Proficient in multiplication and division and multiplication formula in oral calculation table. Exercise 5 1 in the fourth quarter. When you use the multiplication formula to find the quotient, what is the quotient if you want to multiply the divisor? 2. Know the total number of shares to be divided and the number of shares to be divided equally, find out how much each share is, and calculate by division. 3. Given the total number of shares to be divided and the average number of shares, how many shares can be divided and calculated by division. 4. Find how many times one number is another, that is, find how many other numbers are in one number and calculate by division. Unit 9 Statistics and Guess Unit Knowledge Points: 1. Under certain circumstances, use appropriate methods to collect and organize useful information. 2. Be able to ask and answer simple questions according to the data in the chart, and communicate with peers. 3. Knowing that some events are certain and some events are uncertain, you can make some simple guesses. Lesson knowledge: The first birthday is 1. When doing statistics, we must first investigate and collect data. 2. Then sort out the collected data, draw straight lines with different colors or fill them in the corresponding columns of statistical tables, so as to facilitate the analysis and decision-making of statistical results. 3. Answer simple questions and guess according to the statistical chart. In the second quarter, you can buy books for statistics, and you can answer simple questions and make simple inferences according to the data in the statistical chart. Section 3 coin toss 1. Under specific circumstances, some things are certain and some are uncertain. In other words, something must happen, something can't happen, and something may or may not happen. 2. Will use the words "certain", "possible" or "impossible" to describe the possibility of some events in life. Section 4: Good friends of human beings ask questions about multiplication and division according to data. The fifth section always reviews the whole book knowledge classification review.