1. ** Calculation Method **:
- The decimals had to be aligned, which meant that the same digits had to be aligned. For example, if you calculate 3.25+1.7, the first digit after the decimal point of 3.25 is 2, and the first digit after the decimal point of 1.7 is 7. After this, you can calculate.
- Starting from the lowest position, each of you must enter one out of ten. For example, if you want to calculate <1.9 + 0.8>, you first calculate <9+8 = 17>, then move one forward from ten. The first digit after the decimal point is <7>, and then calculate the integral part of <1 + 0+1 = 2>. The final result is <2.7>.
- If it wasn't enough to reduce, he had to borrow from the previous digit and reduce it again. For example, if the calculation of 3.1 - 1.8, 1 - 8 is not enough, then borrow 1 from 3 to become 10, 10+1 - 8 = 3, the integral part 3 - 1 - 1 = 1, the result is 1.3.
- When the minuend was an integral number, a decimal point had to be added, and then a "0" had to be added according to the decimal part of the minuend. For example,"5 - 3.25", write "5" as "5.00", and then subtract.
- When calculating the addition and deduction of decimals in the vertical form, the "0" at the end of the decimal point could not be removed. When the result was written in the horizontal form, the "0" at the end of the decimal point had to be removed. For example, if you calculate the value of [3.20+1.80 = 5.00], the two [0] in the vertical form of [5.00] cannot be removed, but the result written in the horizontal form is [5].
2. ** Simple calculation **:
- Commutative law of addition: , for example,<1.2+3.8 = 3.8+1.2 = 5>.
- The law of additivity: , for example,<1.2+3.8+0.5=(1.2 + 3.8)+0.5 = 5+0.5 = 5.5>.
- Commutativity and association of addition: ((a + b)+c = a+(b + c)=(a + c)+b).
- Subtraction properties:
The teaching reflection on the simple calculation of decimals addition and substitution is as follows: ** 1. Grasping the teaching content ** 1. ** Teaching starting point based on existing knowledge ** - The simple calculation of decimals was taught on the basis of students learning the addition and substitution of whole numbers, the meaning and nature of decimals, and simple decimals. Teachers needed to accurately grasp this starting point. For example, students had already mastered the laws of integral operations (the commutative law of addition, the combination law of addition, the operational nature of substitution, etc.). This knowledge laid the foundation for the simple calculation of decimal addition and substitution. Students should be guided to migrate the law of integral operation to the operation of decimals. 2. ** Difficulties and Key Points of Knowledge ** - The key point was to let the students understand that the laws of operation for the whole number were also applicable to the operation of decimals. This required the students to observe, calculate, and compare through specific examples. For example, by comparing the results of the two sides of the formula, such as 3.2 + 0.5 and 0.5+3.2, 4.7 + 2.6+7.4 and 4.7+(2.6 + 7.4), the students could intuitively feel that they could also use these operational laws to perform simple calculations. - The difficulty was to let the students explore whether or not decimals could be simplified and how to apply the laws of operation to solve related problems. For example, when it came to the operations of adding and removing parenthesis, such as 5.17 - 1.8 - 3.2, the students had to understand the simple calculation method based on the nature of the operation of the substitution, as well as the change law of the symbols when adding parenthesis (add unchanged, subtract changed). ** II. Teaching Methods and Student Participating ** 1. ** The role of situation creation ** - Creating life situations (such as students buying stationery and other situations) could make students feel that decimals were around them, close the distance between students and new knowledge, and fully mobilize their enthusiasm for learning. Such a situation would help students extract mathematical problems from practical problems in life, then try to solve the problems, exchange learning methods, and summarize the arithmetic of decimal addition and multiplication. 2. ** Students 'independent exploration and participation ** - In teaching, students should be allowed to participate in the process of exploring new knowledge to the greatest extent. For example, when verifying whether the law of integral operations was applicable to decimals, some students could pass the calculation verification, and some students could observe and judge, and then exchange and share. Let the students try, explore, and acquire knowledge. In this process, the students will better understand the simple calculation method of decimal addition and multiplication. Every student will have the opportunity to experience successful learning, train the will to overcome difficulties, and build self-confidence. 3. ** Mistake handling and thought guidance ** - For possible errors in teaching (such as errors in the last bit of the vertical calculation of decimals), if the student did not make such mistakes in the early stages, it was necessary to consider whether to compare the right and wrong according to the default. In the case that the students did everything right, they could discuss the correct calculation method in depth and ask why it was calculated this way. After the students understood the calculation theory, they could strengthen their understanding and mastery of the method through practice such as error diagnosis. This could avoid the interference of error information on the students 'thinking and allow the students to construct knowledge more clearly. ** 3. Practice and Consolidating ** 1. ** Levels of practice questions ** - In order to better consolidate basic knowledge and skills, practice questions needed to be arranged step by step. From the simple calculation exercises of the basic decimals addition and deduction to the exercises that required the flexible application of the law operation and the rules of adding and removing parenthesis, the students 'calculation ability and the ability to use knowledge to solve problems were gradually improved. 2. ** The expansion and extension of knowledge ** - Extending and extending it appropriately in practice, such as simple calculation of decimals addition and deduction, combined with real-life complex shopping scenes or other knowledge in mathematics, would help improve students 'comprehensive mathematical attainment and ability to solve practical problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
There were novels similar to "Adding and Subtracting in a Middle Ages World" 1:"Daily Entertainment: A Glimpse of Light and Shadow." Author: Xi Xi Yan Qing 2."The Richest Man on Earth Begins in the Primitive Wilderness." Author: Happy Popcorn 3."VR Game Instance Dungeon Begins From Beating Up Intruder Dogs", Author: Kitaguipu 4. Yunhua Yao Ji, Author: Qi Zong 5:"I Cultivate a God in Tokyo", Author: I Want to Shabu Hotpot Chapter 6: Dark Card God, Author: Dream of Egg-Fried Rice 7:"After I Devoted myself to Criticize the Supervisor, I Have a Baby", Author: Xiaolou Girl 1 The following is a detailed introduction of these novels: 1."Japanese Entertainment: A Glimpse of Light": Come to Yuewen's website to read more of my works! 2."The richest man on Earth starts from the primitive wilderness": War is terrible. It can destroy everything. If human civilization were to disappear and return to the era of drilling wood to make fire, gathering and hunting for a living, would you still be able to survive? Entering the wilderness, our global competition has begun! They ventured deep into the Amazon rainforest, survived the storm on rafts, and escaped from the death strangulation of giant pythons... They would go back to the place where Su Wu was herding sheep, feel the cold wind of-50 degrees Celsius in Siberia, and fight with the wild wolves that were rushing towards them... The canoe sailed across the ocean, and not only did it face the surging waves, but when you wanted to eat fish, the great white shark opened its bloody mouth and bit you… "What happened to the animals that tried to bite you?" asked the reporter. Lin Zheng: "The protein has turned into an amine acid, and it has injected…powerful energy into my body!" The story had to start from the North American continent, hunting, gathering, fishing, catching turkeys, smelting copper, forging iron, and making porcelain… In 30 days, they had embarked on a path of civilization that the Native Americans had never taken in tens of thousands of years. At first, every step was frightening. There were so many snakes in the valley! 3."VR game dungeon starts from beating up the invading dog." What? Am I the only one who can see the light blue jellyfish in the game? The rich and beautiful woman gave me a USB drive to help me become a max level NPC! There was such a good thing? An Zhui had transmigrated into a Level 2 security NPC of Mythology VR technology. His daily routine was to enter the game dungeon: Using a BUG to cheat. Buff bonus, To load the program's plug-in and refresh the skill. He was a tool who worked hard to maintain the order of the game. After a game dungeon invasion incident, he got to know the ferocious seniors: an NPC who liked to smash people with the ball-tomboy; The NPC with the unconventional love brain-Centipede Scar Lisa; Deep well ice aesthetics master-Clown Girl·Mourning Sauce; Unstable and capricious-Team Leader Old K. …… 4.<<Yunhua Yao Ji>> I am a demon exorcist that is not very popular. However, his ability was not weak. Just when I thought that I was going to spend my life calmly slaying demons. I lost my blade. A demon slayer losing his blade is no different from losing his life, but I found another blade. This saber had a human-shaped saber spirit. The following is the story of how I brought the idiotic demon servant and the human-shaped saber spirit with facial paralysis (crossed out) around the world to eliminate demons. Why did he have to exterminate demons? It was not a matter of national hatred. It was purely a matter of profession. This book does not cultivate immortality. 5."I Cultivate a God in Tokyo": Travel through Tokyo, Japan, and become a shrine priest. He looked at the shrine that had no shrine girls, no believers, and no future. As well as the obedient, ignorant, and weak gods who only knew how to hug thighs. Shiroki could only sigh helplessly and stand up to face the evil spirits of Tokyo. "I really like something Ksitigarbha Bodhisattva said." "If hell is not empty, then it is not empty." 6. Dark Card God: A little bit of light in the apocalypse. Darkness and turmoil sit together. A young man with a shocking secret rose in the apocalyptic era. Was it the collision of machinery and technology, or the impact of cold weapons and hot weapons? The young Su Bin had awakened the card system and had given birth to the strongest buff. He had risen in the midst of turmoil and had turned the world upside down. 7:"After I Dedicate My Body to the Supervisor, I Have a Baby": A court official under one person VS a delicate beauty who hides secrets Feng Xiao 'er had married the most treacherous official of the current dynasty. She had been scheming step by step, but he had seen through her every step. She was originally a top-notch assassin in the martial arts world. For the sake of information, she served tea and water to the superintendent, massaging his shoulders and legs. She was pitiful and humble. After gaining the eunuch's trust, she began to put her arms around the eunuch's shoulders and wanted to be good sisters with him. One night, Xiao Qi pressed her against the corner of the wall and said evilly. "Woman, submit to our family. We will give you the power to be above everyone else." "Don't mess around." She hammered his chest with her small hand. He was even more disdainful. How could a eunuch take advantage of him? In the end, she wanted to cry but no tears came out of her eyes.
The following are a few aspects that may be involved in the reflection of addition and substitution teaching: ** 1. Teaching methods ** 1. ** Diverse algorithms and independent exploration ** - It was important to give the initiative to the students when teaching addition and substitution of numbers within ten thousand, so that they could explore the calculation method independently with the help of their existing knowledge and experience. For example, for mental arithmetic and vertical calculation, don't design overly guiding questions to avoid bringing students into the default method. Let the students do the math by themselves and share the results in the group so that they can experience the success of independent learning. - In the teaching of vertical calculation, students were also allowed to try it out on their own, and then they could exchange and demonstrate. This method could effectively expand the students 'thinking and promote the exchange of algorithms. 2. ** Situation Creation and Question Guidance ** - Creating a suitable situation was very helpful to teaching. For example, the introduction of addition teaching from the pictures of the World Exposition could arouse the enthusiasm of students to learn. At the same time, it allowed students to find mathematical information in the situation and experience the connection between addition and life. - In the process of teaching, the social practice situations such as the different ticket prices of different means of transportation were used to let students experience the significance of deduction in comparison and feel the connection between deduction and life. Moreover, it allowed students to discover, raise, and solve problems independently in specific situations, experience independent thinking, take the initiative to explore, report and communicate, and so on. Finally, the teacher would focus on introducing a main method that would help students form a representation and experience mathematical ideas. - However, there might be problems in the creation of situations, such as the data processing in some situations that might make students confused. For example, in a teaching situation where 500 bottles were given once, 520 bottles were given in the first two weeks, and the remaining 20 bottles were ignored in the teaching. This may cause students to have doubts and need to better deal with the data logic in this situation. 3. ** Estimated Teaching ** - The cultivation of estimation ability was part of the teaching. However, there were some puzzles in the teaching. For example, the format of the estimation formula was not clear. It was not known whether the students should directly write the approximate calculation result (such as 190 + 220 = 410) or use the half-text and half-algorithm format (such as 192+219 is approximately equal to 190+220 = 410). - Students had a biased understanding of estimation, and there was a situation where they estimated for the sake of estimation. Some students would first calculate the accurate answer and then find an approximate number as an estimate, and most students would not use the estimation method to test the rationality of the calculation results. ** 2. Student learning ** 1. ** Cultivation of computing ability ** - In the cultivation of computing ability, one must pay attention to correct, flexible, reasonable, and concise operations. For example, in the process of solving problems, students should be allowed to choose the calculation method flexibly according to the actual situation. For example, in the situation where estimation and precise calculation were needed, students should improve their computing ability. - In teaching, open questions were designed to allow students to solve the problem in different ways (multiple solutions for one question). In the observation and comparison of different methods, they chose a reasonable and concise calculation path. - However, there might be insufficient practice in actual teaching, resulting in students not being able to consolidate their knowledge well and affecting the improvement of their computing ability. 2. ** Attention to Individual Students ** - In the teaching process, the individual differences of the students should be fully taken into account, including their acceptance ability and psychological characteristics. For example, in the teaching of multiplication (such as 300 - 116) where there are zeros in the middle of the minuend, it may be because the students do not have a good grasp of the learning situation, and the situation of individual students listening to the class and mastering the knowledge is not ideal. When students explore the calculation process (such as demonstration 300 - 116), the teacher should give enough time for the students to think. They should not be in a hurry to explain. They should face all the students and let the students inspire each other to find a solution to the problem. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Additional reaction: - The addition reaction of ethene and Bromine: <<CH2 = CH2 + Br2> - The addition reaction of ethene and hydrogen bromidate was as follows: <CH2 = CH2> - Under certain conditions, addition reactions could also occur between ethene, hydrogen, and water. Since the chemical properties of ethyne (carbon-carbon triple bond) were similar to that of alkene (carbon-carbon double bond), similar addition reactions could also occur. - The aromatic ring can undergo an addition reaction with hydrogen (in the presence of a catalyst such as Ni). - Aldol groups can undergo a reduction reaction (addition reaction), such as: <anno data-annotation-id ="00000000 - 4c00 - 4c00 - 8c00 - 9c00 - 9c000b000000"> CH3CH20H </anno>. Substitution reaction: - The substitution reaction between methane and Cl2: CH4 + Cl2. - The substitution reaction of the aromatic ring: For example, the substitution reaction with the aromatic group using FeBr3 as a catalyst; the nitration reaction with the aromatic group using concentrated sulfuric acid under heating conditions (the hydrogen on the aromatic ring is replaced by the nitrogen group). - The substitution reaction of the halated carbon was as follows: <<CH3CH2Br2>+<NaBr2>>. - The substitution reaction of alcohol: <CH3CH20H>+<br>> longrightarrow <CH3CH2br>+<H2O>> - The ester's cleavage reaction (which can be seen as a substitution reaction):<CH3COOCH2CH3 + H2O> <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
He recommended a few novels. " Fortress Mage ", a fantasy novel written by Mo Xiang. In the Royal Academy of Spellcraft, the instructors asked questions. The students each had their own ways to deal with enemies entering the cave. The protagonist, Roland, stood at the entrance of the cave and threw Flame Blast. This book had a depressing atmosphere, but it had a well-constructed worldview. It was a traditional masterpiece, and its recommendation index was four stars. " Art Life " was an urban entertainment novel created by Xin Yue. It was a story about a literary youth in a parallel world. It was plain and warm, with a hint of a literary youth, like a clear stream. Although the narration was dull, it could still attract people to continue reading. It was a single female lead, and there were not many scenes of posturing and face-slapping. She could feel the atmosphere of the entertainment industry in the 1990s. The recommendation index was five stars. " Is There A Good Show To Watch Today?" It was a sci-fi novel written by Prince Mao. The female lead, Xiao Qingai, was watching the show. She had no CP and was self-reliant. She was neither a saint nor a Mary Sue. In the beginning, he might have thought that he was following the crowd, but later on, he gradually got better. Every dungeon was not bad, and his recommendation index was three and a half stars. 'Xiaoyi Farming' was an ancient farming novel written by a child. Ordinary transmigrated women would farm and get rich in ancient times. There were no top-grade women, but they were warm and cute. They showed little wisdom in life, and the characters were lively and beautiful. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
In the math number story, we might have a situation where a boy has 15 stickers and his friend gives him 5 more. To find out how many stickers he has in total, we use addition. 15 + 5 = 20. This is a basic addition problem that is often found in 4th - grade math. Addition is an important operation where we combine two or more quantities. In this case, we are combining the initial number of stickers the boy had with the number of stickers his friend gave him to get the total number of 20 stickers.
The ending fantasy rankings may include the following novels: 1 Battle Through the Heavens 2 Martial Force Universe 3 Douluo Continent 4 The Great Dominator [5]" Full-time Expert " [Lord Snow Eagle] 7 Sword Comes 8 Battle Frenzy Chapter 9: Eternal Thought Cover the Sky These novels were all completed fantasy novels and had a certain degree of influence in online novels.
Well, kids' cartoons using decimals might focus on teaching math concepts in a fun way, like showing measurements or fractions.
After the initial understanding of decimals, you can reflect on yourself from the following aspects: ** 1. Teaching preparation ** 1. ** Grasp the Starting Point of Teaching ** - Although the logical structure of decimals was new, the students had a preliminary intuitive understanding of decimals based on their life experiences (such as shopping in the supermarket). This point should be fully taken into account in lesson preparation. It should accurately determine the starting point of students 'knowledge, reasonably design the teaching content, and introduce the concept of decimals from the familiar scenes of the students, such as the price of goods in life, height and weight, and so on. 2. ** Confirm teaching focus ** - Reading and writing decimals was relatively easy, and most students had a shallow understanding of the meaning of decimals. Therefore, the focus of teaching should be on understanding the meaning of decimals, especially the decimals that express length in meters. Students can be guided to understand the relationship between decimals and scores with the help of scores. For example, 1 decimeter = 1/10 meters = 0.1 meters, so that students can understand that a fraction of a fraction can be expressed in one decimals. ** 2. Teaching process ** 1. ** Give full play to the role of students as the main body ** - By collecting students 'questions about "decimals", the students were helped to sort out the general path of studying numbers in the form of question strings (the meaning of numbers, reading and writing, size comparison, calculation, application). When teaching the meaning of decimals, visual aids such as the meter ruler were used to demonstrate, so that students could actively construct knowledge based on the existing knowledge of the relationship between meters and decimeters. - In terms of questioning skills, they should pay attention to the value, effectiveness, and targeting of the questions to stimulate students 'mathematical thinking. For example, when exploring the meaning of decimals, the questions raised should be able to guide the students to dig deeper into the meaning of decimals, such as "how many 0.1 meters are there in 1 meter" and so on. 2. ** Focus on mathematical thinking and core accomplishment cultivation ** - Combining specific "quantity"(such as length, area, etc.) and intuitive and semi-intuitive models (such as ruler, number axis, etc.), using the idea of combining number and shape, let students experience the process of abstracting "number" from "quantity", cultivate students 'sense of number and quantity, and promote the formation of core literacy. - However, there might be some shortcomings in the teaching process. For example, when teaching the meaning of decimals in meters, students should strengthen their ability to speak and the process of speaking, so that students can better internalize their knowledge into their own understanding. 3. ** Control time and rhythm ** - There might be some unreasonable allocation of class time. For example, in some segments (such as the "Realm of Decimals" segment), due to time constraints, it could not be implemented as expected, and the role of encouraging outstanding students was not fully played. Or some knowledge points (such as the conversion of five jiao and eight cents into 5.08, the zero in the middle was easily ignored by students) were not emphasized enough, resulting in students 'misunderstanding or errors. ** 3. Teacher's self-accomplishment ** 1. ** Language expression ** - In the specific teaching links, we should pay attention to the accumulation, comprehension and application of language, temper the language, make the explanation clearer, more accurate and concise, and avoid ambiguity or misunderstanding. 2. ** Guidance and Inspiration ** - In the classroom, students should be guided to observe and think more, give students enough time to express their ideas, cultivate students 'problem awareness and mathematical language expression ability, improve students' initiative to explore and independent learning ability, and let students truly experience the joy of learning decimals. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
I'm not a fan of online literature. I'm just a person who likes to read novels. I can't provide you with information and plots about novels or other fictional works because such information may change over time and I can't verify its accuracy. If you have any other questions, I will try my best to answer them.