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Mathematics composition of sixth grade in primary school
Math composition for the sixth grade of primary school 1 Recently, everyone learned the calculation method of the volume and surface area of cylinders and cones. I learned common sense in class and did some extra-curricular training to consolidate my knowledge. Based on the comprehensive study and training, I summarized the relevant common sense. There are six main aspects in this regard:
One is volume. It is to roll a rectangular paper into the shape of a cylinder and then calculate the volume of the cylinder. For example: length 12, 56 meters, width 9. The 42-meter rectangle is rolled into a cylinder, and the overlapping part is ignored. Find the volume of a cylinder. There are two possibilities for this kind of topic, that is, a long circle or a wide circle. Therefore, we should solve these two possibilities and compare them. It should be noted that this topic needs to be understood as winding a circle with the length and width of a rectangle respectively.
The second is to turn. That is, a rectangular piece of paper is rotated 3600 degrees along one side to find the volume or area of the final shape. For example, a rectangle with a length of 8 cm and a width of 5 cm can be rotated around its length to calculate the volume of this shape. Rotate a rectangular piece of paper once to get a cylinder, and then use the formula for calculating the volume of the cylinder to get the answer. This kind of topic should pay attention to what shape of paper is used to rotate.
The third is cutting. It is an object with a certain shape. According to the affirmative rule, some parts are eliminated and the volume or surface area of the remaining shape is calculated. It should be noted that all possibilities should be calculated, and we should not be lazy to calculate only one.
The fourth is casting. It is to melt an object of one shape into a liquid and then recast it into an object of another shape. This kind of topic should be analyzed emphatically. Although the shape has changed, the volume will not change.
The fifth is to increase. Is to continue adding another shape to one shape. Pay attention to what kind of modeling has been added to this topic.
The sixth is cutting. It is to cut a shape into several sections and then tell you what to add and how much to add, so that you can work out the principle. This kind of topic depends on how to cut it, what changes will happen in the future, how to increase the area and so on.
The above is the summary and thinking of my recent study. Do you think math is mysterious and interesting?
Math Composition 2 of Grade 6 in Primary School Recently, everyone just learned the common sense of fractional multiplication and division and "1 unit" on the Internet, and I am very interested. No, I have recently encountered a daily substantive problem.
One day, when my parents were busy, Yi Feng sent me to my aunt's house to do my homework. Suddenly, my aunt sitting in front of the computer and speculating in stocks shouted, "Great, I earned it back again!" " "I couldn't help being startled, so I leaned over and asked her," What's so exciting about? "She said," My aunt bought a stock with a unit price of 12.5 yuan, which fell by 6% yesterday and rose by 6% today. It seems that my insight is correct! "After listening to this, I always felt that it was not so easy, so I immediately took out my pen. The first "minus 6%" is to take the original price 12.5 as the unit 1, minus 6%, that is, 3/50, so the price at this time is12.5-12.5 =12. It should be 1 1.75 now, so the current price formula is11.75+1.75× 3/50 =1.75+.
This is the problem. If it rises by 6% first and then falls by 6%, will it be profitable? You can also try. The original price 12.5 yuan is regarded as "unit 1". At this time, the unit price is12.5+12.5× 3/50 = 13.25 yuan, and the corresponding decrease is 6% of13.25 yuan.
I immediately told my aunt this conclusion and told her to be careful when buying and selling stocks. She was so happy that she even praised me as a thoughtful child.
Mathematics common sense is hidden in every corner of daily life. As long as you have a pair of eyes that are good at observing things, you can find many mysteries hidden in them!
From grade one to grade six, there are countless teachers who have taught our class. Besides our head teacher, the math teacher left a deep impression on me.
The math teacher is also surnamed Shen. He is of medium height, with a little silver hair in his sparse black hair and deep eyes under his heavy eyebrows, reflecting an elusive light of wisdom. He always smiles and looks amiable. Once, I finished my homework quickly and stood in front of the homework teams. The math teacher Shen took my exercise book, frowned, gave me a look and gave it back to me. I took the book in doubt, and my heart thumped. It was full of bright red. I went back to my seat and began to correct it, but I couldn't solve the problem. Teacher Shen called me to him. First, he asked me sternly, "How did you do this homework? What a mess! "Then he taught me seriously and marked my mistakes with a red pen." Do you think these questions should be wrong? "My face is hot, because I made some low-level mistakes, and I can't wait to find a crack to drill down. I see, but the teacher left two beads of sweat on his cheek.
When we make mistakes in our homework, Mr. Shen always teaches us kindly. But when we are not serious in class, absent-minded or whispering, we are always extremely angry. I still remember when Mr. Shen first came to teach us, a classmate probably wanted to challenge Mr. Shen's patience. . So when Mr. Shen was in class, he read comic books under the table in private. He lowered his head, and everyone held his head high, which seemed out of place. Shen, an eagle-eyed math teacher, soon discovered this difference. Teacher Shen came up to him and said jokingly, "Hey, what are you studying so hard?" Mr. Shen grabbed the book from his hand and suddenly grabbed his ear. He cocked his head and stood up, blushing like a ripe red apple. Teacher Shen severely warned him to be serious in class and not to desert. This time, as an example, we will never be careless in class again.
The eccentric teacher is sometimes amiable and sometimes extremely strict. However, this teacher left us an eternal memory and a bittersweet life. We really like this teacher and hope that he can accompany us through the last time at our alma mater.
My math teacher, Miss Zhu, is tall 1. About 65 meters, about 30 years old, with shiny black hair and ponytail. There are two big clairvoyance eyes and a pair of ears on the round smiling face, so that you can't make any small moves in class, but she is a very interesting teacher.
Teacher Zhu is very interesting, because she can improve our learning taste at any time in class and let us study easily and happily.
One day, there was no water at school, and the students had no water to drink, so they all looked listless in math class. Teacher Zhu came up with a clever plan to make a classmate tell a joke and make us laugh. We were refreshed at once, the learning atmosphere in the classroom became active, and the number of students who raised their hands to answer questions increased significantly.
In order to improve our interest in learning, Mr. Zhu also adopted the method of star award.
Once, Mr. Zhu saw that our math homework was sloppy and not very serious. Just smiled and said: Now as long as you get an A+ or a five-pointed star in class or homework, you will be a red star. As long as five red stars are collected, Mr. Zhu can win a candy. Although a candy is rare, it is a little hope for teachers. In the next homework, more and more students got A+ and a five-pointed star. In a blink of an eye, we entered the final review stage. Teacher Zhu found that in the test, our grades were not very satisfactory. Teacher Zhu came up with a new idea and said to us: Now a lollipop won 98 points and two prizes won 100 points. Now, our enthusiasm for learning is high and our grades are improving rapidly. Encouraged by this measure, I got a lot of lollipops and my grades improved a lot. I got excellent results in the final exam.
Although I know that learning is not to get the teacher's candy, our achievements in fun learning are sweeter than eating lollipops. I like such an interesting teacher!
Today, my parents and I came back from Ningbo. There is nothing at home, and the shop outside is not open. Dad had to take my mother and me to Carrefour for shopping.
When I arrived at the door, I pushed a cart. The first place we visited was the third floor, where books were sold. I chose a book. At this time, the aunt of the clerk came up to me and said, "Because of the big marketing, this book is only sold at present at 12 yuan, and the original price is 20 yuan." I listened to my aunt and said to my father, "It's a good deal to buy this book at present. It's on sale now. The original price is 20, now only 12 yuan, 40% off! " Father looked at it and said, "Very good. At present, I know how to buy the same thing at a low price, and I also know how much discount to make according to the original price and the current price. Very good, progress! "
Everyone bought a good book and went to the second floor. I'll look at the list price of the items first, and then I'll start choosing things. A box of milk starts in 45 yuan, a catty of oranges starts in 4 yuan, and a catty of pistachios starts in 49 yuan. They are also on sale. I took everything. I took the picked oranges to my aunt and said a * * * 15 yuan. I also bought 30 yuan money for pistachios.
When I came to the meat area, my father bought beef and shrimp, which were weighed in 50 yuan and 30 yuan respectively. Later, I bought some vegetables. Seeing that vegetables are so affordable, I had to buy so much with 5 yuan. In addition, my mother also picked out some things and bought jiaozi and glutinous rice balls. I see that there are many prices in jiaozi, and different brands have different prices. My mother told me that shopping should be economical and not waste money.
After shopping with my parents, I go to the cashier. My aunt scanned everything into the computer and the amount appeared on the display. Finally, 180 yuan.
I am very happy today. I am so happy to buy so many things I like to eat. Besides, I also know how to use my money rationally and not waste it.
Our math teacher has short black hair. He always keeps a straight face and has never seen a smile on his face, which makes people feel heartless and afraid to approach. Every time he comes to give us lessons, he always gives us lessons with a serious face. He looks terrible.
A few minutes before math class, Yang and Yang in our class will "watch the wind" outside the classroom. As soon as they see Mr. Zhang coming to our class, they will run back to the classroom and shout, "Mr. Zhang is coming!" Teacher Zhang is here! " We all rushed to our seats as fast as possible, whether we just wanted to go to the toilet or drink water. The students in the front row rushed back to their seats at extreme speed. Teacher Zhang appeared at the door of the classroom, and we felt a chill coming towards us. We quickly sat up straight and held our breath. Students who used to ask him to check his homework in advance quickly ran to him and lined up neatly. As long as someone doesn't do their homework well, they will give you a "bamboo tube meat". The smell is burning, and most people can't resist it. Many people often burst into tears.
Every time we attend his class, we sit up straight. Once he found the slip number, the result can be imagined. The way he flew into a rage gave us goose bumps.
Although he is fierce to us, his homework is rarely assigned. Sometimes, he will explain some advanced mathematics knowledge to us, so that we can know something about the contents of senior grades, so everyone is full of reverie about advanced mathematics knowledge. ...
Shh, he's coming! The students sat up straight in their seats again at once. A serious face appeared in front of the classroom again. ...
Mathematics is a wonderful subject. Although complicated, it combines numbers and numbers perfectly, which makes people intoxicated. The difficulty is the gymnastics of everyone's thinking, and it is a boat that allows everyone to reach the other side of success.
In today's math class, the teacher explained the matters needing attention on page 28 of the math book. This problem is a bit confusing at first glance, but if you think deeply, grasp the details and find the breakthrough point, the idea of solving the problem will appear. Everyone knows the radius of the bottom surface of the round steel, and later wrote that when the round steel is pulled out of the water surface by 8cm, the water surface is reduced by 4cm, so that everyone can immediately think that the pulled volume is equal to the reduced volume of the water surface, so that the reduced volume of the water surface can be calculated by dividing it by the height of 4cm, and the bottom area of the pool can be calculated. As mentioned earlier, the water level rose by 9cm after the round steel was put in, so the rising volume is the volume of the round steel, which can be solved by multiplying the bottom area by 9. The teacher is very happy that the students can answer this question. But some students have other methods. A classmate thinks that the water surface will decrease by 1cm every time the round steel is pulled out by 2cm. I summed up his words with mathematical expressions: the moving distance of round steel: the moving distance of water surface = 2: 1. If the water level rises by 9cm, it means that the cylinder is reduced by 18cm and the height is 18cm, then the volume of round steel can be directly calculated by multiplying the bottom area by the height. After listening to everyone's answers, the teacher said that everyone was very good.
Although the difficulties in mathematics are very difficult, as long as we can solve them with the common sense we have learned, we will find that mathematics is endless.
Mathematics Composition 8 Sixth Grade Mathematics and Life Before Rui-qi Li in Class 6 (4) of Xiaolingwei Central Primary School, I always thought mathematics was a boring thing, but it was that that changed my view on mathematics. It was this summer. One day, it was very hot. After work, my father brought back a big round watermelon. Looking at the beautiful black and green stripes, my mouth watered and I volunteered to cut watermelons.
I'm just about to accept it all. "Slow down ..." Dad said, "I will test you in two ways: first, you eat a quarter of a watermelon; I'll eat a third of this watermelon, a quarter for my mother, a fifth for your little cousin and the rest for you. Which one do you choose? " I heard a fifth, but I didn't even think about it. I said loudly, "I choose the second one!" " "Dad smiled and said," think about it. "I think it over. Isn't this the least common divisor? The lowest common divisor of one third, one quarter and one fifth is 60. One third plus one quarter plus one fifth equals 47 out of 60, which means I can only eat 60 13, and one quarter equals 60 15. Of course, I should choose the first one!
So I was a little embarrassed to say to my father, I didn't think clearly just now, but now I know I should choose the first one. "Ha ha, it doesn't matter, just want to know. Come on, you can cut the watermelon. Everyone is fair, one quarter each! " I cracked two knives, and the big west was divided into four pieces, revealing the red flesh. Take a bite. This melon is so sweet! From this incident, I understand more and more that mathematics is really closely related to our lives.
The short holiday on New Year's Day is over. My short vacation was enriched by a short training class for everyone. I learned a lot in the math class here.
First of all, I learned the trip problem and the application of score percentage. Let's talk about a concentration problem first:
Add 50 grams of sugar to 20% sugar water, and the concentration will become 40%. How much more water should I add? The sugar water concentration is 25%.
As soon as I saw this question, I was blinded. I read it three times, but I still have no clue. Teacher Wang seems to have seen through our ideas and began to explain with guidance: "Students, don't limit your thinking to arithmetic, try to make an equation!"
Oh! Why didn't I think of the equation! Ok, listen carefully, but the teacher has already started teaching! The teacher wrote this equation on the blackboard:
Solution: suppose there is x grams of sugar water with a concentration of 20%.
20%x+50=(x+50)40%
0.2x+50=0.4x+20
50-20=0.4x-0.2x
30 = 0.2 times
X= 150
Well, at this time, we already know that the 20% aligned sugar water has150g, so the following is much easier!
There is sugar in 40% syrup (150+50) × 40% = 80g. According to the topic, we can understand that 25% syrup needs water, and the sugar is "unchanged", so the 25% syrup has 800 ÷ 25% = 320g g.
This is the secret of mathematics! A seemingly clueless problem was solved with only a few formulas, and the doubts in our hearts were solved layer by layer. How amazing! Through the study of this short training class, I have a deeper understanding of the application of score percentage. What used to be the concentration of a big meal in front of me has now become a piece of cake. I am not only amazed at the mystery of these mathematics.
We must see everything clearly and not be confused by it. Otherwise, it will leave regrets. No, I just left a regret.
I am good at math. I can rank firmly in the top three of the class every time (almost always above 90 points), and I don't have to worry about my grades at all. Unless there is an accident (not carelessness), I can set a new record in mathematics. But it is this honor that makes me forget myself gradually, and it seems that I have become arrogant and started to fade.
Another math exam. I took a confident look at the test paper and began to do it confidently. I fantasized about my excellent grades and the praise of my math teacher, the envious eyes of my classmates and the encouraging eyes of my parents, and I couldn't help laughing. The invigilator gave me a hard stare, which calmed my mood a little. I continued to do the questions absently, and still lived in my own world after handing in the papers. I once asked myself, should I check it again? Oh, please, it takes too long. My vanity shattered the last glimmer of hope.
I waited proudly for the teacher to hand out the papers. When the paper was sent to myself, I was shocked: 77 points! ! ! Is this still me? Regret, sadness, collapse. All kinds of emotions come to mind. Why ... why is this happening? They all took so many exams, and I ...
After I calmed down, I began to reflect on my mistakes and summed up the following points: 1, don't be confused by some praise language; 2. Be open-minded and don't be influenced by some negative factors in the exam; 3. After finishing the examination paper, be sure to check it several times to minimize the appearance of fish escaping from the net.
Alas, I regret it.
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