The solution to the fourth grade mathematical equation was mainly based on the relationship between the various parts of the four operations and the basic properties of the equation:
** I. Calculating the relationship between the parts according to the four rules **
1. ** Add **
- For the equation x + a=b (a, b are known numbers), according to "one addend = and-another addend", we can get x=b - a. For example,
1. $X + 25X = 52$ 2. $X×(12 + 26)=140$ 3. $3X - 1.2×5 = 12$ 4. $28×3 - 26X = 30$ 5. $18(X - 3.5)=54$ 6. $15X - 0.5X = 29$ 7. $X - 0.6X = 12 + 4$ 8. $16X - 7.5 = 8.5$ 9. $X + 0.3X = 78$ 10. $2X + 4X = 36$ <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following is the process of making some fourth-grade mathematics teaching aids: * * 1. Math Puzzle ** 1. Materials: Colored paper, cardboard, etc. 2. Production steps: According to the mathematics knowledge content to be taught, cut out different shapes (such as triangle, quadrilateral, etc.) and colors of puzzle pieces with colored paper or cardboard. For example, if it was about the combination of graphs, he could cut out different types of triangle and quadrilateral, allowing students to intuitively understand the relationship between graphs and mathematical concepts through the puzzle process. * * 2. Math counting stick (can be used to assist in math calculation teaching)** 1. [Material preparation: You can choose a suitable wooden stick or straw.] 2. Production steps: Cut the small wooden stick or straw into a suitable length. According to the teaching needs, different lengths or colors represent different values. For example, a small wooden stick represents 1, 10 tied together represents 10, and so on. * * 3. Self-made protractor (made of cardboard)** 1. [Material preparation: cardboard] 2. The production steps were to draw an outline on the cardboard according to the shape of the protractor and mark the scale. One could first find a standard protractor, imitate its scale distribution, and carefully draw the scale lines from 0 degrees to 180 degrees on the cardboard with a ruler and pencil to make a simple protractor. * * 4. Use the bottle cap to make a small score disc ** 1. [Material preparation: Bottle cap.] 2. "Production steps: Clean the bottle cap and divide it according to the score teaching content." For example, if a bottle cap was divided into several parts (such as four parts), different parts could be marked with paint or a marker to represent different scores, such as 1/4, 2/4, etc. * * 5. Use buttons to represent the decimal system currency (supplementary to the decimal system)** 1. [Material preparation: 2. "Production steps: determine the value represented by the button. For example, one button represents 1 yuan, 10 buttons strung together represent 10 yuan, etc. Different combinations and marks can be made according to teaching needs to simulate the calculation of the decimal currency and other teaching content. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are examples of 20 calculation questions that may be involved in the first volume of the fourth grade of primary school (vertical, off-form, simple calculation): ** 1. Horizontal calculation (10 lines, example of dividing a three-digit number by a two-digit number)** 1. $324÷12 =$ 2. $456÷18 =$ 3. $567÷21 =$ 4. $298÷13 =$ 5. $345÷15 =$ 6. $490÷25 =$ 7. $512÷16 =$ 8. $630÷21 =$ 9. $728÷28 =$ 10. $840÷35 =$ ** 2. Free Form Calculation (5)** 1. $25×(34 + 16) - 120$ - First calculate the number in the parenthesis: $34+16 = 50$, then multiply: $25×50 = 1250$, and finally subtract: $1250 - 120 = 1130$. 2. $128 + 72÷8×5$ - Divide: $72 div8 = 9$, multiply: $9×5 = 45$, and add: $128+45 = 173$. 3. $(45 - 18)×(32 + 16)$ - First calculate the numbers in the parenthesis: $45 - 18 = 27$,$32+16 = 48$, then multiply: $27×48 = 1296$. 4. $360÷(72÷8)$ - First, he calculated the number in the parenthesis: $72 div8 = 9$, then he calculated the division: $360 div9 = 40$. 5. $158 - (64 + 36÷9)$ - First, he calculated the division in the parenthesis: $36 div9 = 4$. Then, he calculated the addition in the parenthesis: $64 + 4 = 68$. Finally, he calculated the deduction: $158 - 68 = 90$. ** 3. Simple calculation (5)** 1. $25×36$ - It could be converted to: $25×4×9 = 100×9 = 900$. 2. $125×88$ - It was converted to $125×8×11 = 1000×11 = 11000$. 3. $45×99$ - It is written as: $45×(100 - 1)=45×100 - 45×1 = 4500 - 45 = 4455$. 4. $36×102$ - It became: $36×(100 + 2)=36×100 + 36×2 = 3600 + 72 = 3672$. 5. $23×18 + 77×18$ - Using the multiplication distribution law: $(23 + 77)×18 = 100×18 = 1800$. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Dear teachers and students, Hello everyone! The topic of my speech today is health. Everyone knew that health was very important. In our daily lives, there are many aspects that are closely related to health. Let's talk about personal hygiene first. We have to keep our bodies clean every day. Washing our hands is a very simple but very important habit. You must wash your hands before and after eating, after sneezing, and after going out. If we eat with dirty hands, the invisible bacteria will enter our bodies with the food and make us sick. Moreover, we have to change our clothes and bedding frequently. Don't spit on the ground, and don't mix our personal hygiene products with others. Also, the environment we live in and the school's environmental hygiene are also very important. We have to clean up the campus. We can't leave any dead spots. The garbage produced every day must also be cleaned up in time and thrown to the designated place. This way, bacteria won't breed easily, and diseases will stay away from us. In addition, spring was the season when infectious diseases were prone to occur. When the temperature rose in spring, many microorganisms began to become active. It was easy for infectious diseases such as hand, foot and mouth disease and flu to occur. There were many people in the school. If they did not pay attention to hygiene, infectious diseases would spread quickly. Therefore, we have to open the windows more often to keep the air in the classroom fresh, but we also have to be careful not to catch a cold from the wind. Sometimes, we can also disinfect the air in the room. We also need to learn more about common infectious diseases, such as flu, hand, foot and mouth disease, and malaria. If you feel unwell, you must tell your teacher or parents in time, see a doctor, and take medicine according to the doctor's instructions. If necessary, they could even get the corresponding vaccine. Finally, everyone should also pay attention to rest and sleep. He had to live a regular life every day, balance work and rest, and ensure adequate sleep time. This way, our body's immunity will be stronger and we can better resist diseases. Let's start from the little things around us, pay attention to hygiene, and keep healthy! Thank you, everyone! <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The fourth grade primary school language book 1 contained three parts: "Communication platform","Usage of words and phrases" and "Accumulating over time". ** 1. Communication Platform ** The goal was to let the students grasp the key words and sentences, and to have a preliminary understanding of the text to express their thoughts and feelings. For example, through the discovery of some children, the sentences in the text could express the author's thoughts and feelings. For example, from the last sentence of "Country People," one could feel the beauty of the country people, and from the sentences in "Skylight," one could feel the joy that the skylight brought to the children. The transition sentence and the last sentence in a general article often express the author's feelings and thoughts, which can be emphasized when reading. You can also read the entire text first, grasp the content of each paragraph with the help of key sentences, then think about the content of the text in connection with the content of each paragraph, and finally look at the ending and transition paragraph to express the feelings of the sentence and other steps to understand the feelings of the text. ** II. Usage of Words and Paragrams ** 1. ** A comparison of urban and rural life terms ** - There were words that described city life, such as bustling, resplendent, high-rise buildings, heavy traffic, brilliant lights, etc. From these words, one could experience the bright lights and lively noise of city life. - Words describing village life included fertility, tranquility, smoke curling up from chimneys, mountains and rivers, chickens and dogs hearing each other, and so on. They could make people feel the tranquility and beauty of village life. 2. ** Write sentences according to the example sentences ** - He gave a description of the countryside life (The red clouds in the sky, the gentle breeze in the evening, the birds flying over their heads returning to their nests, they were all their good friends.) Together with the villagers, they painted a natural and harmonious idyllic landscape) and seaside life (flying seagulls, golden sand, and white waves constituted a charming seaside landscape). Illustrations of grasslands, mountains and rivers, and beautiful sceneries of the campus were also given. Students were asked to describe these scenes according to the example sentences. For example, the grassland scene could be described as "Under the blue sky, the snow mountain stands far away, the green grassland is vast and boundless, and the flocks of sheep and horses are grazing freely. What a harmonious and natural grassland scenery";; The landscape scene could be described as "a clear stream flowing in the mountains, the green grass beside the stream is lush, the trees are lush, and the mountains are scattered in the distance, and the white clouds are leisurely." Two yellow orioles flew past, their cheerful songs echoing in the mountains. It was a beautiful landscape painting. ** 3. Accumulate over time ** Including Mao Ze-dong's "Divinator·Ode to Plum Blossom": Wind and rain send spring back, flying snow welcomes the spring. It was already a hundred feet of ice on the cliff, and there were still beautiful flowers. Beauty does not fight for spring, only to report spring. When the mountain flowers were blooming, she smiled in the bushes. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some reflections on the fourth grade mathematics teaching: ** In terms of the first and fourth operations ** - ** Strengths ** - When teaching the order of the four operations, examples could be used to guide the students, such as the scenes of shopping and accounting in life, so that the students could understand the rules of multiplication and division before addition and addition, as well as calculating the parenthesis first. If he could successfully get the students to connect with reality, this would be a very good teaching strategy. - As for the simple arithmetic of the four arithmetic operations, it would be a good idea to guide students to observe the characteristics of numbers and explore them independently, so as to cultivate their sense of numbers and computational ability. - ** Not enough ** - There might be some students who were easily confused about the order of the four mixed operations. This might be due to insufficient practice or the lack of emphasis on confusing points in the teaching. - In the teaching of simple calculations, the explanation of some special number combinations (such as calculations close to the whole ten or hundred) might not be in-depth enough, causing some students to be unable to flexibly use simple calculations. ** 2. Observing objects (2)** - ** Strengths ** - Physical models or animations could be used to show the shapes of objects seen from different directions, which would help students understand intuitively. If such a teaching method was used, it could enhance the teaching effect. - ** Not enough ** - This part was difficult to teach. Some students might have poor spatial imagination and could not accurately identify the shapes of objects seen from different directions. Students with weak spatial imagination might lack sufficient targeted training and guidance methods. ** 3. Laws of Operations ** - ** Strengths ** - If they could explore the laws of addition and multiplication through group cooperation and let the students discover the laws themselves, it could improve their independent learning and cooperation ability. - If he could explain the law of calculation with real life examples (such as different algorithms for calculating the total price when shopping), it would deepen the students 'understanding. - ** Not enough ** - As for the reverse operation of the calculation law, it might not be emphasized enough in the teaching, resulting in some students only using the law to perform simple calculations and not being able to perform reverse operations flexibly. - Some students might just memorize the formulas and did not really understand their meaning, so they were prone to making mistakes in practical application. ** 4. The significance and nature of decimals ** - ** Strengths ** - When explaining the meaning of decimals, one could start with the concept of fraction and use graphs (such as a square divided into 10, 100, etc.) to directly represent decimals. This method of combining numbers and shapes would help students understand. - For the teaching of the property of decimals (adding or removing 0 at the end of the decimals, the size of the decimals remains the same), if a comparison example was used (such as the comparison of 2.3 and 2.30 in terms of numerical values), the students could clearly understand this property. - ** Not enough ** - In the teaching of reading and writing decimals, some students might make mistakes when reading and writing decimals, especially when there were many decimals. This might be the result of not practicing carefully enough. - When teaching the comparison of decimals, some students might not have a deep understanding of some special cases (such as the comparison between 0.9 and 0.900) and have vague concepts. ** 5. Triangle ** - ** Strengths ** - When teaching the classification of a triangle, if the students were to measure the sides and angles of the triangle by themselves, it would enhance their hands-on ability and understanding of the characteristics of the triangle. - For the teaching of a triangle with 180 degrees of internal angles, the method of puzzle experiment (putting the three angles of the triangle together) was used to help students understand this concept intuitively. - ** Not enough ** - In the teaching of the three-sided relationship of a triangle (the sum of any two sides is greater than the third side), some students may only remember this conclusion, but when they actually judge whether the three line segments can form a triangle, they cannot flexibly use this relationship. - When teaching complex triangular combinations, it might be difficult for students to accurately identify the triangular relationship and lack sufficient comprehensive analysis ability. ** 6. Adding and Subtracting Decimals ** - ** Strengths ** - It would be a good teaching method to emphasize the importance of decimal point alignment in teaching and to let students understand arithmetic through examples (such as the addition and substitution of decimals involved in shopping change). - Allowing students to calculate decimals vertically and verify them could cultivate their calculation accuracy and test habits. - ** Not enough ** - There might be some students who made mistakes in the number alignment when calculating the addition and substitution of decimals, especially when the number of digits in the integral part and the decimal part were different. - When solving the practical application of decimals, there might be students who could not correctly analyze the meaning of the question and list the wrong calculations. ** 7. Movement of the graph ** - ** Strengths ** - When teaching the translation and axis-symmetrical graphs, the students could use the grid paper to make the students operate the translation and complete the axis-symmetrical graphs themselves, which could improve their hands-on operation ability and space concept. - ** Not enough ** - For the determination of the distance of the figure translation and the determination of the symmetrical axis of the axis-symmetrical figure, some students might have difficulty understanding it, and there might be a lack of sufficient step-by-step guidance in the teaching. - In the teaching of translation and axis-symmetrical transformation of complex figures (including many basic figures), students might have difficulty accurately grasping the transformation of the overall figure. ** 8. Average and Bar Chart ** - ** Strengths ** - If he explained the meaning and calculation method of the average through specific life data (such as the test results of the students in the class), he could let the students feel the practical value of the average in life. - When teaching bar charts, students could draw their own charts to deepen their understanding of the structure and data representation of the charts. - ** Not enough ** - Some students might misunderstand the concept of the average due to the influence of extreme data. - When comparing different bar charts, students might lack the ability to analyze the information behind the data. ** 9. Mathematics (Chicken and Rabbit in the Same Cage)** - ** Strengths ** - If a variety of solution methods (such as the list method, the hypothesis method, etc.) were used to explain the chicken and rabbit in the same cage problem, it could broaden the students 'solution ideas. - By introducing the topic through the story of the ancient chicken and rabbit cage problem, it could stimulate the students 'interest in learning. - ** Not enough ** - The chicken and rabbit in the same cage problem was more difficult for some students. It might be difficult to understand the solution of the hypothesis method, and the tutoring for these students might not be enough. - Students might lack the ability to draw inferences from one example when they applied the solution to the chicken and rabbit in the same cage problem to other similar problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
There were many versions of the fourth grade of primary school, including different versions of mathematics, English, Chinese, science, and other subjects, such as the 2023 - 2024 People's Education Version, Jiangsu Education Version, Beijing Normal University Version, People's Education PEP Version T3 Zhejiang Special Version, Yilin Version Jiangsu Special Version, Teaching Version, Foreign Research Version, etc. It had many characteristics, such as new ideas, new materials, new perspectives, infiltration of the new curriculum standards, selection of topics and materials related to life reality, focusing on thinking, comprehensiveness and open-mindedness. In terms of practicality, it used eye-protection paper, large font size, simplified questions, rich pictures and texts, and was very interesting. The difficult questions were also provided with video explanations. The structure included class practice (including Happy Practice Foundation and Happy Raising Ability), unit listening and reading and writing training, accomplishment assessment papers (unit accomplishment assessment, stage/final accomplishment assessment), etc. After the student's book accomplishment assessment, there were listening materials and reference answers. The answers were accurate and standardized, which helped the students self-study, teachers 'explanations, and parents' guidance. Some versions also incorporated regional characteristics. For example, the Zhejiang special edition questions were related to the local characteristics of Zhejiang. The unit knowledge inventory had special homework, knowledge shorthand, and so on. The answers were also refined and analyzed, and there were a variety of electronic resources for learning. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following were some of the reading articles in the second volume of the fourth grade language book: " Three Ancient Poetry "," Country People "," Skylight "," Peach Blossom Water in March "," Amber "," Dinosaur Flying to the Blue Sky "," Nanometer-technology is by Our Side "," Millennium Dream Fulls in the Present "," White Birch "," Green "," Three Short Poems ", etc. Some of these articles were texts from textbooks. Some of the texts might have changes in words due to the revision of the textbooks. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The 2022 health education activity plan for the fourth grade of primary school in the second semester included many aspects, such as the theme of "Don't buy food from roadside vendors": - Teaching purpose: Let the students know the truth of "sickness comes from the mouth", understand that eating unhealthily will cause many diseases, and understand why you can't buy food from roadside vendors. - Teaching focus: Understand the strict hygiene regulations of the Health Department. - Teaching process: First, through enlightenment and guidance, students were asked whether they went to the street vendors to buy food and whether they knew the truth of "illness comes from the mouth". Then, they learned in depth and explained the strict regulations of the national health department on food service (such as confirmed places, disinfection facilities, cold storage equipment, anti-fly and dust-proof, sufficient water sources that meet the hygiene requirements, etc.). They also organized students to discuss whether the roadside vendors met these standards. Finally, the conclusion emphasized that students should raise their self-protection awareness and refuse to buy food from roadside vendors. Under the theme of "Using the microwave properly": - Teaching purpose: Let students understand the function of the microwave oven and master the correct way to use it. - Teaching focus: Master the correct way to use the microwave oven. - Teaching process: Lead out the content through the conversation, ask the students if they have used the microwave oven and the reason for using it, and then carry out the new teaching content, emphasizing that they must master the correct way to use it. In addition, health education in the fourth grade of primary school also involved students memorizing first aid, fire, theft police phone numbers, understanding common infectious diseases and their prevention, understanding sports and health knowledge (such as things to take note of before and after exercise, excessive drinking water will be poisoned, play and mental health, etc.) and other aspects of knowledge. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>