The summary of application questions for primary school students is so complete! It would be a big loss if you don’t collect it

Word problems are half of mathematics. Children who cannot do word problems well will not only find it difficult to improve their math scores, but their overall performance may also be greatly affected. To answer word problems, you need to comprehensively apply the most basic knowledge such as conceptual properties, rules, formulas, quantitative relationships and problem solving methods in primary school mathematics, and you must also have the ability to analyze, synthesize, judge and reason. This is why children find it difficult. Today, Doudehui will explain to you some common problems and methods for solving word problems. I believe that if children can fully master it, they will be greatly improved in solving word problems. There was an error in the review, and I was so busy. Why did I mention the review separately? Just like writing an essay, if the question review is not good or the review is wrong, no matter how well you do the following work, it will be in vain. Mathematics word problems are mainly used to cultivate children\’s problem-solving abilities. Many questions tend to have long narrative content, which makes some children impatient. In fact, as long as you master the skills of reviewing questions, the problem can be easily solved. Carefully review the questions. The expressions in mathematical language are often very precise and have specific meanings. When reviewing a question, you must carefully read every word, word, and sentence of the question. Only by understanding the exact meaning can you find a breakthrough in solving the problem and open the door to the answer. Good at digging out the implicit conditions in implicit condition questions, and sometimes supplementing the conditions of the questions or restricting the results. When reviewing questions, being good at digging out hidden conditions and returning their true colors will provide new information and basis for problem-solving, and problem-solving ideas will emerge spontaneously. Be good at \”transforming\” and \”modeling\” a mathematical question. When reviewing the question, you should first \”transform\” the literal language into mathematical language, and combine the meaning of the question to establish a mathematical model and construct a mathematical formula. In short, when reviewing a question, you must repeatedly consider the text and language in the question, extract information, process the information, and obtain ways to solve the problem. Allowing children to develop good question-reviewing habits, improve question-reviewing abilities, and learn to use their brains during question-reviewing can improve their ability to analyze and solve problems. It can also invisibly cultivate children\’s rigorous question-taking habits, which is really beneficial. Common mistakes, do you make them often? Misunderstanding of the meaning of the question Although repeated emphasis is placed on reviewing the question carefully, many children still stumble upon this. I didn’t understand the meaning of the question and didn’t understand the conditions. In daily application question training, most of the questions are very concise and easy for students to understand, but the error rate of such questions is still high. For example: a section of road is planned to be built 48 meters per day, and it will take 25 days to build. If the task needs to be completed 5 days ahead of schedule, how many meters should be repaired every day? Many students ignore the key word \”advance\” and directly list the calculation formula as 48×25÷5=240 (meters), resulting in problem-solving errors. 90% of children have made such mistakes, and parents must remind them more. Didn\’t understand the question. When some students answer word problems, they don\’t even see the question clearly, so they just do it with confidence. For example: a batch of pears, each basket contains 40 kilograms, and 15 baskets are required. If each basket contains 50 kilograms, how many fewer baskets are there than before? Many students just list the formula as: 40×15÷50=12 (baskets). The students simply do not understand that the question is to find out how many baskets the current number of baskets is less than the original number of baskets, but to find out how many baskets should be loaded now.basket. Many children do word problems without correctly analyzing the conditions and the relationship between them. If they are not good at analyzing the relationship between adjacent conditions, they do it hastily, resulting in errors in the word problems. For example: a textile workshop processes a batch of cloth, and 3,600 pieces of cloth were woven in the first four days. According to this calculation, the task can be completed in another 8 days of weaving. How many pieces of cloth are there in this batch? Some students did not understand the meaning of \”calculate like this\” and \”the task can be completed by weaving for another 8 days\”, which resulted in the incorrect formula 3600×8+3600=32400 (horses) or 3600÷4×8=7200 (horses). The reason for these problems lies in the lack of rigor in reviewing the questions. When I first read the question, I thought it was simple. Therefore, I did not analyze the meaning of the question in detail, and the phenomenon of \”just start writing and finish it\” appeared. After I found the test paper, I suddenly realized: I really shouldn’t have made a mistake! Welfare: A complete collection of commonly used formulas for word problems 1. Rectangle: Perimeter = (length + width) × 2 C = (a + b) × 2 Area = length × width S = ab2, square Perimeter = side length × 4 C =4a Area = side length × side length S=a.a3. Triangle area = base ） , cuboid surface area = (length × width + length × height + width × height) × 2 volume = length × width × height V =abh8, cube surface area = edge length × edge length × 6 S =6a volume = edge length × edge length ×Edge length V=a.a.a 9. Cylinder Side area = Circumference of base circle × Height S=ch Surface area = Upper and lower base area + Side area S=2πr +2πrh=2π(d÷2) +2π(d÷2)h =2π(C÷2÷π) +Ch Volume of cylinder = base area × height V=ShV=πr h=π(d÷2) h=π(C÷2÷π) h Volume of cone = base area × Height ÷3V=Sh÷3=πr h÷3=π(d÷2) h÷3=π(C÷2÷π) h÷310. Volume of cone = base area × height ÷311. Sum and difference problem ( Sum + difference) ÷ 2 = large number (sum – difference) ÷ 2 = decimal 12. Sum and multiples problem Sum ÷ (multiple – 1) = decimal Decimal × multiple = large number (or sum – decimal = large number) 13. Difference Multiple problem Difference ÷ (multiple – 1) = decimal Decimal × multiple = large number (or decimal + difference = large number) Four common question types Encounter problem Encounter distance = speedSum × Encounter time Encounter time = Encounter distance ÷ Speed ​​and speed sum = Encounter distance ÷ Encounter time Catch-up problem Chase distance = Speed ​​difference × Catch-up time Chase time = Catch-up distance ÷ Speed ​​difference Speed ​​difference = Catch-up distance ÷ Catch-up time Concentration problem of solute Weight + weight of solvent = weight of solution Weight of solute ÷ weight of solution × 100% = concentration Weight of solution × concentration = weight of solute Weight of solute ÷ concentration = weight of solution Profit and discount issues Profit = selling price – cost Profit rate = profit ÷ cost × 100% = (sold price ÷ cost – 1) × 100% increase or decrease amount = principal × increase or decrease percentage discount = actual selling price ÷ original selling price × 100% interest = principal × interest rate ×Time word problems are an important content of primary school mathematics, as well as the focus and difficulty of primary school mathematics. It not only examines children\’s understanding and memory of various mathematical concepts, but also examines their application and reasoning ability of various quantitative relationships, which plays an important role in cultivating and developing children\’s logical thinking ability. It can be said that if you learn the application questions well in elementary school, you will lay a good foundation for your children in middle and high school. Therefore, parents, you must pay attention!