What is the primary school mathematics knowledge in China?
China primary school mathematics knowledge covered many aspects, including the following: 1. ** Understanding of numbers **: Including the concepts of numbers (such as simple numbers in first grade), fraction, decimals, and percentage, reading and writing, size comparison, etc. For example, there were clear rules for the reading and writing of four-digit numbers. The reading of four-digit numbers was read in order from the high position. For thousands, it was read as thousands, for hundreds, it was read as hundreds, and so on. If there was one or two zeros in the middle, only one "zero" would be read. No matter how many zeros there were at the end, it would not be read. The writing method was written in order from the high position. For thousands, it would be written as a few in thousands, for hundreds, it would be written as a few in hundreds, and so on. If there was no one in the middle or at the end, it would be written as" 0". 2. ** Calculation **: - ** Add and Subtract **: There are corresponding rules for two-digit addition and deduction. For example, if the same digits are aligned, counting from the first digit, if the first digit is 10, add 1 to the tenth digit. If the first digit is not enough, subtract 1 from the tenth digit, add 10 to the first digit, and then subtract. Subtracting four-digit numbers also follows the same rules of digit alignment, subtract from the first digit, and if the first digit is not enough, subtract 1 from the first digit, add 10 to the first digit, then subtract. - ** Multiplication and Division **: The multiplication rule of multi-digit numbers multiplied by one-digit numbers was to multiply each digit of multi-digit numbers by one-digit numbers starting from the first digit. When the multiplied digit reached dozens, it would move forward a few digits. The division rule of one-digit numbers included dividing from the high digits of the dividends. Each time, try to divide the previous digit of the dividends with the divinator. If it was smaller than the divinator, try to divide the first two digits, etc. There were also the rules of two-digit multiplication and division. - ** Mixed Operations **: In the formulas without parenthesis, if there is only addition and division or only multiplication and division, the operations must be done from left to right. In the formulas without parenthesis, if there is multiplication and division, the multiplication and division must be done first before the addition and division. If there are parenthesis in the formulas, the operations in the parenthesis must be done first. 3. ** Formula and equation **: Elementary exposure to the concept of equations and learning how to solve simple equations. 4. [Figure and Position: Understand some simple figures, such as the characteristics of a rectangular shape, a square shape, etc., as well as the concepts related to position.] 5. ** Possibility **: Understand the concept of the probability of an event happening. 6. ** Exploring Rules **: For example, finding rules, filling in numbers, drawing rules, and so on. 7. ** Strategy for solving problems **: For example, the chicken and rabbit cage problem, the itinerary problem, the tree planting problem, the age problem, the profit and loss problem, and other typical problems. These problems usually have a formula summary, typical examples, and detailed analysis. 8. ** Mathematical thinking **: It includes reasoning and logical thinking. For example, when solving some number problems, you need to use logical reasoning to find the relationship between the numbers to solve them. For example, you need to find the specific number according to the sum of two numbers and the multiple relationship between two numbers. Read more exciting novels for free
Primary school mathematics second volume knowledge points sorting
The main knowledge points of the second volume of the first grade: - Subtraction within 20: There are methods such as leveling ten, breaking ten, adding and deducting if you want. For example, 13 - 9, the method of leveling ten first calculated 13 - 3 = 10, then calculated 10 - 6 = 4; the method of breaking ten first calculated 10 - 9 = 1, then calculated 1 + 3 = 4; if you want to add or subtract, because 4 + 9 = 13, so 13 - 9 = 4. For application questions, the known part of the total number was calculated by addition (keywords such as total, total, etc.), the known total and part of the other part was calculated by deduction (keywords such as remaining, etc.), and the deduction table needed to be memorized. - ** Know the shape **: Understanding Rectangle (Two long sides and two short sides, long sides equal, short sides equal), square (four sides equal), triangle (three sides), and circle; Able to draw three different cuboids with a cuboid, and draw the same square with a cube; In terms of placing patterns, at least four small rods for one square, at least seven for two squares, at least three for one triangle, at least five for two triangulars', at least six for one rectangular, and at least ten for two rectangular; A square piece of paper can be folded into a rectangular or triangular shape once, and folded twice can be folded into a rectangular, square, or triangular shape. - ** Know the numbers within 100 **: One by one, from 1 to 99, 99 plus 1 is 100; Ten times ten numbers, 10 times ten is 100. Although the second volume of knowledge was not fully presented in the second year and above, some of them were mentioned: - ** Sum-and-difference problem **: If the sum of two numbers is 81 and the difference between two numbers is 19, it can be solved by drawing a line diagram. First, find the decimals as (81 - 19) div2 = 31, and the large numbers as 31 + 19 = 50. - ** Special equation solution thinking **: For example, A + B = 50, A/3 + B/4 = 14, which can be solved by combining numbers and shapes. For example, if the sum of two squares in three squares is 17, 18, and 25 respectively, it can be solved by using hypothesis thinking (setting different symbols) and global thinking (adding the left side of the equation as a whole, adding the right side of the equation, and then finding a single value). On the whole, primary school mathematics also paid attention to the cultivation of mathematical thinking, such as the use of hypothesis thinking, overall thinking, and mathematical combination thinking when solving problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The most comprehensive question type in the collection of primary school mathematics knowledge points
The collection of primary school mathematics knowledge points covered a wide range of questions, including the following common questions: 1. ** Questions related to the four operations **: - Two-digit addition and substitution, for example, when calculating two-digit addition, one had to follow the rules of the same digit alignment, adding from the one digit, and adding 1 from the ten digits when the one digit was full; when calculating two-digit substitution, one had to follow the same digit alignment, deducting from the one digit, deducting from the ten digits if the one digit was not enough, adding 10 from the one digit, and then deducting. - For mixed operations, if there were only addition and division or multiplication and division in the formulas without parenthesis, the operations would be done from left to right. If there were multiplication and division, the multiplication and division would be done first before the addition and division. If there were parenthesis in the formulas, the operations in the parenthesis would be done first. - Multiply a single digit by a multi-digit number. Starting from the single digit, multiply each digit in the multi-digit number by the single digit number. The multiplied digit would be multiplied by dozens and then moved forward a few times. - Divisor is a division of one digit. Divide from the high digit of the dividends. Each time, divide the first digit of the dividends with the divinator. If it is smaller than the divinator, then divide the first two digits. Write the quotient on the digit where the divinator is divided. For each quotient, the remaining digits must be smaller than the divinator. - The factor was a two-digit multiplication. First, the number on the two-digit digit place was multiplied by another factor, and the last digit of the resulting number was aligned with the two-digit place. Then, the number on the tenth digit of the two-digit place was multiplied by another factor, and the last digit of the resulting number was aligned with the tens of digits of the two-digit place. Then, the two multiplied numbers were added together. 2. ** Questions related to understanding numbers **: - The smallest composite number was 4, the smallest prime number was 2, the smallest even number was 0, the smallest odd number was 1, the smallest factor was 1, the smallest single-digit number was 1, the smallest natural number was 0, the largest fraction unit was 1/2, the largest two-digit number was 99, the smallest two-digit number was 10, the largest single-digit number was 9, and so on. 3. ** Reading and writing questions related to mathematics **: - The four-digit numbers were read in order from the highest digit. For the thousand-digit number, it was read as a few thousand, for the hundred-digit number, it was read as a few hundred, and so on. If there was a zero or two zeros in the middle, only a "zero" would be read. No matter how many zeros there were at the end, it would not be read. - Four-digit numbers were written in order from the highest digit. If there were thousands of digits, write the number in the thousand digits. If there were hundreds of digits, write the number in the hundred digits, and so on. If there was no one in the middle or at the end, write a "0" in the middle or at the end. 4. ** Problem solving questions **: - For example, the sum of two numbers was 2016, and one of the numbers had a single digit of 0. If the 0 was removed, it was exactly twice the other number. The two numbers could be solved by analyzing the relationship between the numbers. - There were also the fourth-grade questions such as counting line segments, finding the law, crossing the bridge by train, sailing in flowing water, and encountering each other. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Primary School Mathematics Hebei Education Version Key Knowledge Summing Up
The following is a summary of some of the key knowledge of primary school mathematics in each grade: ** First grade ** - [Comparing: Cultivate interest in mathematics learning, master the method of enum, technical problems, finding patterns, and interesting math problems, and form the habit of active learning and thinking.] - ** Understanding the number within 10 ** and many other basic contents. ** First Grade ** - ** Position **: Cultivate interest in mathematics, master specific mathematical methods, form good study habits, and connect them to real life. - ** Understanding numbers within 100 ** and other knowledge, including understanding the RMB, addition and deduction within 100, etc. ** Second grade ** - ** Observing objects **: Experience the different shapes of objects observed from different positions. Able to identify the planar images of different surfaces of three-dimensional objects. - ** Add and Subtract Mixed Operations **: Continuous addition, continuous deduction, and addition and subtract mixed operations are done in a written and verbal order from left to right. If there are small parenthesis, do it in the small parenthesis first. Can add and subtract estimations. Master the steps to solve application questions. Can choose addition or substitution calculations according to different relationships. Can ask related mathematical questions. - [Multiplication in the Table (1): Understand the meaning of multiplication is a simple algorithm to find the sum of several identical addenda. Master the reading method of the multiplication formula, the names of each part, and the meaning of each part. Remember the multiplication formula from 2 to 6.] - ** Understanding of angles **: An angle has one apex and two sides. The size of the angle has nothing to do with the length of the side, but it is related to the size of the side. Master the drawing method of the angle, recognize the right angle in the triangle, square, and rectangular, and use the triangle to determine whether the angle is a right angle. ** Second Grade ** - ** centimeter, decimeter, meter **: Understand the units of length and strengthen your understanding in real life. - ** Division with remainder ** Knowledge, including understanding the unit of mass, reading, writing, addition and substitution of numbers within 1000, knowledge of quadrilateral, etc. ** Third grade ** - [** Big Numbers in Life **: Master reading and writing big numbers.] - ** Multiply two or three digits by one digit **, ** divide two or three digits by one digit **: Master calculations and solve practical problems. - [The movement of graphs (1)] and other knowledge, including the use of formulas to find the circumference of a rectangular square, four mixed operations. ** Third Grade ** - ** Year, Month, Day **: Proficient in multiplying two-digit numbers by two-digit numbers and solving practical problems, using the area formula to find the area of a rectangular and square, preliminary understanding of decimals and scores and combining them with reality, mastering different units and distinguishing them. ** Fourth grade ** - ** Liters and milliliters **: Accurately calculate the division of three-digit numbers by two-digit numbers and solve practical problems. Understand the classification of straight lines, rays, angles, and angles, and draw angles. Distinguish between multiple and factor, judge the least common multiple and the greatest common factor. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
What are the applications of mathematics history in primary school mathematics?
The application of the history of mathematics in primary school mathematics mainly had the following aspects: 1. ** Enrich teaching content **: Teaching the history of mathematics is not just about imparting knowledge of mathematics history, but also creating a classroom atmosphere of exploration and research. For example, in the teaching of mathematics, teachers could explain the emergence and development of numbers in history, such as the ancient stone counting, knot counting, mark counting, etc., as well as the origin of the "every ten into one" method, so that the teaching content would be richer, so that students could know the ins and outs of mathematics knowledge, broaden their horizons, deeply understand the knowledge points, and stimulate their interest in learning. 2. ** Helping Concept Teaching **: Concept teaching is very important in primary school mathematics. Using the history of mathematics to introduce concepts is an effective method. It allowed students to accept mathematical concepts naturally. 3. " Stimulate learning interest and inspire personality growth ": American mathematician Wilder believed that it was difficult to stimulate students 'interest only by explaining mathematical techniques. Combining mathematical history knowledge could attract students, stimulate their interest in mathematics learning, and inspire personality growth. 4. ** Cultivating mathematical ability and widening horizons **: The famous mathematician Mr. Xu Lizhi pointed out that the history of mathematical thought could reflect the discovery, invention, and creation of mathematical results. Using the history of mathematics in primary school mathematics teaching could cultivate students 'mathematical ability and broaden their horizons. 5. ** Enhancing teacher's quality **: Using the history of mathematics in primary school mathematics teaching can help improve teachers 'mathematics quality and enrich teachers' spiritual source. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Mathematics content in aerospace primary school
In primary school, aerospace learning involved a lot of mathematics content: 1. ** Year 1 **: - He could use the time knowledge he had learned to understand the time representation of important moments in China's aerospace history, such as the launch time of the Shenzhou 14 manned spacecraft at 10:44:07 on June 5,2022. By sorting out these moments, he could make a schedule for China's aerospace time. He could also draw a space clock to represent these moments. 2. ** Year 2 **: - In the activity of building the " space dream " in his heart, although there was no direct manifestation of specific mathematical knowledge, he could use mathematical thinking such as spatial concepts in the process of material selection and combination. In addition, during the introduction of the cold knowledge of the universe, some simple numerical relationships might be involved, such as the comparison of the distance between a certain planet and the Earth. 3. ** Year 3 **: - In the research of the moon, a lot of mathematical knowledge about the moon needed to be collected, such as the temperature of the moon's surface, the distance between the moon and the Earth, and the time of the moon's orbit around the Earth. This process would involve the checking and sorting of data. These data existed in mathematical form, and it might also involve simple mathematical operations such as numerical comparison. 4. ** 4th grade **: - Due to the distance of the universe, it was necessary to learn larger units of measurement, such as astronomical units, light years, parsecs, etc., and use these units to calculate the distance in space, such as calculating the actual mathematical calculation problems of astronauts traveling between different planets. The novel " Hundred Years of Spaceship " is equally exciting. Everyone is welcome to click and read it!
What are the characteristics of primary school mathematics?
The following are the main points of the teaching plan of the primary school mathematics content (People's Education Version): ** 1. Teaching objectives ** 1. ** Knowledge Level ** - He had a basic understanding of the characteristics of a multiple of 3. He could judge whether a number was a multiple of 3 or not. 2. ** Learning process level ** - In the process of "bold guessing-verifying with examples-getting a conclusion-experimental exploration-verifying the conclusion-applying the conclusion", the students would have cognitive conflicts, stimulate the students 'interest in exploration, and let the students experience the joy of success. 3. ** Emotional attitude ** - Cultivate and develop the students 'ability to analyze, observe, compare, operate, summarize, guess, verify, and summarize. ** 2. Teaching Points and Difficulties ** 1. ** Teaching Focus ** - Understand that by finding the sum of the numbers, you can determine whether it is a multiple of 3. 2. ** Teaching Difficulties ** - Guide the students to change their way of thinking, find new methods, and master the characteristics of 3. ** 3. Teaching process design ** 1. ** Revise and awaken, propose a preliminary guess ** - Review the characteristics of the numbers that can be divided by 2 and 5 and the methods to explore them. Then, the students were asked to guess the characteristics of the numbers that could be divided by 3. The students would guess that the single digits were 3, 6, and 9. Then, the students would be asked to verify it with examples (such as 13, 23, and 33) and come to a negative conclusion. The purpose was to break the students 'fixed idea of judging by the single digits. 2. ** Question Exploration ** - ** Find the multiple of 3 **: Students can use the hundredth table to study the characteristics of the multiple of 2 and 5 (first find the number, then observe, guess, and finally verify and summarize). Students can work together with their deskmates to find the multiple of 3 and observe the circled number. During this process, the students would realize that just looking at the position wasn't enough. There were also some similarities between the teaching plans of other primary school mathematics content (People's Education Version). For example, they would usually review relevant old knowledge to pave the way for new knowledge learning. They would focus on guiding students to explore, observe, and summarize the learning process, cultivating students 'various mathematical abilities and thinking habits. At the same time, they would set reasonable teaching priorities and difficulties according to the teaching content, and design teaching activities around these key and difficult points, such as helping students understand and master knowledge through examples, operations, group cooperation, etc. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Primary school mathematics simultaneous tutoring
The following are some resources for primary school mathematics: 1. ** Primary School Mathematics Coaching Book **: published by Shanghai Far East Press in 2008. The series has three characteristics. First, the concept is new, the design is new, the basic knowledge is built based on the development of students, the learning purpose is clear around the key and difficult points of the subject, and the learning method is provided; Second, the guidance is practical, the practice is practical, the analysis and guidance are carried out according to the basic knowledge simultaneously, and the practice is arranged for each tutoring class. The number of questions can ensure that the basic knowledge can be consolidated in 10 - 15 minutes without increasing the burden; Third, the content is flexible, the form is flexible, the connection with life increases the interest of learning, and the exercise forms are diverse. For example,"Primary Mathematics Coaching (Year 5, Second Semester)" could be a good helper for students to self-study, parents, and teachers. There was also a version for the first semester of Year 3 that was published on July 1, 2006. 2. Search Tool: The Search Tool Green Version app is a useful and free math search tool for primary school students. It can be used in primary school classrooms and has rich primary school education resources. It is suitable for parents to use when tutoring homework. 3. ** Synchronization test papers **: There are classroom synchronization test papers, including Chinese and Mathematics (synchronized with the PEP textbook). There were eight sets of unit test papers to consolidate classroom knowledge and lay a solid foundation. Two sets of test papers to increase points and strengthen difficult points. Three sets of final test papers to simulate the final test. There were also monthly test papers, mid-term test papers, special test papers, error-prone test papers, and other test papers. There were also video explanations attached. Scanning the code to see the answers was convenient for parents to mark. 4. **"Homework Help" exercise book **: For example, the synchronized exercise of the first volume of the People's Education Version of primary school mathematics for the second grade. It is suitable for the second grade students. It covers all the knowledge points of the teaching materials and closely corresponds to the difficulty of the teaching materials. It includes a variety of questions such as choice, fill in the blanks, calculation, application questions, etc. Each question has a detailed answer and solution. It can be used as a tool for students to learn independently or for parents and teachers to guide. 5. ** Math synchronized reading book **: The nerd math synchronized reading book is suitable for grades 1 - 6. There is no limitation on the version of the textbook. It can turn math knowledge points into interesting stories, such as using detective stories to explain the clock time, using the proud pentagonal brothers and the triangular brothers to fight the protractor to explain the measurement of the angle, etc. At the end of the story, there are questions and conclusions to help children develop their interest and thinking in mathematics. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Primary School Mathematics Qualification Rate
In China, the primary school pass rate standard was set by the local education department according to the actual situation. There was no national standard. However, generally speaking, the passing rate should be above 90%. The primary school pass rate was mainly based on the students 'academic performance and comprehensive quality evaluation. Academic results mainly included the results of Chinese, Mathematics, English, and other major subjects. The comprehensive quality evaluation included the students 'moral behavior, sports health, artistic performance, social practice, and other aspects. The results of these two assessments would affect whether the students could pass the assessment. In primary school, the education department and schools paid more attention to the all-round development of students. Therefore, when setting the pass rate, besides considering the students 'academic performance, they would also consider the overall quality of the students. For example, some places might set that students 'academic performance had reached a certain standard, and their comprehensive quality evaluation had reached a pass before they could be recognized as qualified. Academic performance was evaluated through exams, homework, classroom performance, and other methods. The comprehensive quality evaluation covered moral behavior, sports health, artistic performance, social practice, and other aspects of the evaluation content. Moral behavior included honesty and trustworthiness, respect for the elderly and love for the young, etc. Sports health included physical fitness, sports skills, etc., and artistic performance included music, art, etc. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
A summary and reflection on primary school mathematics
The following is a summary and reflection on the primary school mathematics lesson: ** I. Basic teaching skills and classroom control ** 1. ** Solid teaching foundation ** - In primary school mathematics teaching, a teacher's basic skills were very important. For example, in some high-quality class evaluation activities, excellent teachers showed strong organizational and control skills in the classroom. They had a high theoretical level. Especially in terms of mathematical language, the teacher's language was concise and concise, which helped to cultivate the students 'rigorous mathematical language expression habits. Moreover, these teachers paid attention to practical results in their lessons. They did not pursue superficial tricks, but from the student's point of view. They understood the student's starting point and taught according to the student's actual situation. 2. ** Enlightenment and Reflection ** - This reminded the majority of primary school mathematics teachers to constantly improve their basic skills, including in-depth understanding of the teaching materials and control of the classroom rhythm. In his own teaching, he should pay attention to using concise and accurate language to guide students, avoiding long and complicated expressions that would confuse students. Moreover, they had to think about the teaching content and methods from the student's point of view. They could not be separated from the student's actual learning situation. ** 2. Students 'emotional attention and knowledge formation ** 1. ** Pay attention to students 'emotions and knowledge formation ** - In the classroom, excellent teachers would let students solve problems independently and encourage students to actively participate in the learning process. For complex problems, the students were guided to explore them by using their mouths, hands, and brains. Every student had the opportunity to think and express their opinions, and truly become the master of learning. Even if the students encountered difficulties, the teachers would patiently enlighten and guide them, reflecting the teaching philosophy of teacher-led and student-centered. However, there were also cases where some teachers gave too much guidance and explained too much. 2. ** Enlightenment and Reflection ** - Teachers should give students more space to think and explore independently and believe in their abilities. For example, when teaching mathematical concepts or solving mathematical problems, students could first try to understand or solve them themselves, and then carry out the necessary guidance and summary. At the same time, they should pay attention to the degree of guidance to avoid excessive guidance, so that students would lose the opportunity to explore independently. ** 3. Group learning ** 1. ** The effectiveness of group cooperation ** - Many teachers pay attention to the effectiveness of group cooperative learning in primary school mathematics teaching. The teacher would ask valuable questions for the group to cooperate and explore. Before the activity, the teacher would make clear the requirements and use teaching aids or learning tools to let the students operate, such as putting, cutting, painting, etc., so that the teaching content could be visualized. During the activity, the teacher would patrol and guide, and after the activity, the group would display and communicate. This could effectively cultivate the students 'hands-on ability. 2. ** Enlightenment and Reflection ** - In daily teaching, teachers should carefully design the content and form of group cooperation to ensure that group cooperation is not just a formality. According to the teaching content, the group cooperation tasks should be arranged reasonably, so that every member of the group could actively participate, and in the process of cooperation, the students 'mathematical thinking ability and cooperative communication ability should be improved. ** 4. Teaching Concept and Purpose ** 1. ** Renew education concepts and clarify education goals ** - Primary school mathematics teachers should update their educational concepts and understand that they should not only teach basic mathematics knowledge and skills, but also pay attention to cultivating students 'thinking ability, spatial concept, stimulate learning interest, establish learning confidence, and carry out moral education. Every class should be viewed from the perspective of cultivating high-quality talents. 2. ** Enlightenment and Reflection ** - In actual teaching, teachers should integrate the goal of educating people into every teaching link. For example, when explaining mathematical examples, he could infiltrate the cultivation of mathematical thinking methods. At the same time, he could use mathematical knowledge to tell stories about mathematicians to encourage students to actively explore and cultivate students 'perseverance in learning. ** 5. Cultivation of learning interest ** 1. ** Maintain and improve interest in learning ** - The interest plays an important role in primary school mathematics learning. Teachers should pay attention to cultivating students 'correct learning motivation and good psychological quality. Through the creation of learning situations, starting from the things that students are familiar with, and other ways to stimulate students 'interest in learning. This was because students were more willing to take the initiative to think and explore when the learning content was close to the actual life of the students. 2. ** Enlightenment and Reflection ** - Teachers should be good at digging out mathematics materials from their daily lives and integrating them into their teaching content. For example, when teaching mathematical operations, he could use daily life scenes such as shopping and changing money as examples to let students feel the practicality of mathematics, thereby increasing their interest in learning. ** 6. Mathematical Thinking Method Penetration ** 1. ** Mathematical thinking methods are not enough ** - In primary school mathematics teaching, the infiltration of mathematical thinking methods was not in place. However, mathematical thinking was the soul of mathematics, and it was of great significance to cultivate students 'abstract thinking ability. 2. ** Enlightenment and Reflection ** - Teachers should consciously permeate mathematical thinking methods in the teaching process. For example, when teaching the four arithmetic operations, he could permeate the function thinking, model thinking, etc., so that students could gradually improve their mathematical thinking ability while learning the basic knowledge. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Qiuhe Formula Mathematics Primary School
In primary school mathematics, there were several common formulas for sums: 1. ** Arithmetic Sequence Summation Formula **: If a sequence is an arithmetic sequence (the difference between any two adjacent numbers is a certain sequence), the formula for its sum is S_{n}=(a_{1}+a_{n})_n_{div2}, where_(a_{1}_) is the first term (the first number of the arithmetic sequence),_(a_{n}_) is the last term (the last number), and_(n_) is the number of terms (the number of numbers in the sequence). In addition, the number of terms is <<n=(a_{n}-a_{1})><divd + 1>>(<d>> is the tolerance, which is the difference between any two adjacent numbers in the sequence). 2. ** The law of additivity is used to sum **: Add three numbers, first add the first two numbers, then add the third number, or first add the last two numbers, then add the first number, the sum is unchanged, that is, a + b + c=(a + b)+c=a+(b + c). 3. ** For the Summation Formula in the Sum-difference Multiplication Problem of Adding Multiple Numbers **: - ** Sum-difference problem **: Given the sum and difference of two numbers, find the larger number ((sum + difference)<div2>= larger number) and the smaller number ((sum-difference)<div2>= smaller number). Then the sum of the two numbers is the larger number plus the smaller number. - ** Sum-times problem **: Given the relationship between the sum and the multiple of two numbers, sum is the sum of a small number and a large number. - ** Multiplying Problem **: Given the relationship between the difference and the multiple of two numbers, the difference is the decimals, and the sum is the decimals plus the difference. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>