The new semester has begun, and when the graduating class arrives, new pressure will follow.
In this strange classroom, there are familiar faces. We are all old classmates, so we don't know how to restrain our words and deeds and behave ourselves. Class 6 (1) is at the bottom. If a leader comes to inspect, he will definitely pass by our class. At this time, the image of our class represents the image of the school. In class, we should be more serious and diligent, because we are their big brothers and sisters to children of other grades, and we should be their role models. As big brothers and big sisters, we are also a group of graduating students who are working hard to get into a good junior high school. We should ask what we don't understand, and we should not delay our study because of good face or embarrassment. The so-called learning means learning and asking questions, so we should ask for advice with an open mind, correct mistakes, and cultivate Excellence without mistakes.
in this new term, we should work harder. Teachers should preview the new lesson in advance and review it in time after the lecture. As the saying goes, review the past and learn the new. Good habits can make good grades. Only after hard work will you get good grades. Just as farmers can reap rich fruits by fertilizing and watering after sowing; It is an eternal truth that you can only gain after giving. While cultivating habits, we should also correct our own shortcomings. If you don't cultivate good habits and get rid of your own shortcomings, then the shortcomings will accumulate over time and become more and more. In fact, the terrible thing is not the shortcomings, but the failure to correct them. If several bugs suddenly appeared in your vegetables, because you were afraid of bugs, you didn't take any measures, but also ignored them at a distance. Finally, because of your timidity, all the vegetables were eaten up, and all your efforts were in vain, and finally you fell short.
only the brave can win.
(Author: Zhang Beibei)
In the second week
this unit, we mainly studied equations. Through learning, I know how to solve the equation of two-step calculation and how to set up equations to solve application problems. There are five steps to solve the application problem of the column equation: 1. Find the equivalent relationship; 2. Set an unknown number; 3. Set up equations according to the equivalence relation; 4. Solve the equation; 5. Inspection. If we can follow these five essentials in solving application problems, it will be a piece of cake to solve application problems. Among the application problems learned in this unit, the most difficult problem is the trip. There are several essentials in solving the problem, that is, to grasp the starting place, starting time, moving direction and moving result, and to develop the habit of drawing line segments to analyze the meaning of the problem, so that the problem is very simple and clear at a glance.
When xu teacher asked us to do application problems, he always asked us to write relational expressions, but some students didn't want to write them. In fact, only by finding the equivalence relation can the equations be listed correctly, and the correct rate will be greatly improved. Usually, we should listen to the teacher. Only in this way can we learn easily and firmly.
(Author: Li Dongwei)
The third week
Time flies, and soon a week has passed. This week, we learned the unit Cuboid and Cube. We have learned some plane figures before, such as triangles, trapezoids, rectangles, etc. Now our understanding of figures has deepened. This unit is my favorite, but I can't help but have questions that I can't understand. For example,
A cuboid block can be sawed into two cubes. It is known that the sum of the edges of a cuboid is 96 cm. What is the area under a cube block?
my answer is:
96÷2=48 (cm)
48÷12=4 (cm)
4×4=16 (cm 2)
I watched it again, and finally changed my thinking and found the correct way to solve this problem. Therefore, the correct answer should be:
96÷16=6 (cm)
6×6=36 (cm 2)
I love mathematics. Mathematics is a game. As long as you love thinking, you will find many mysteries.
(Author: Lu Tingting)
The fourth week
These days, we learned how to calculate the surface areas of cuboids and cubes. I know the surface area of a cube = edge length × edge length ×6, and the surface area of a cuboid = (length× width+length× height+width× height) ×2. I think we must be careful when doing math problems, and we must see every sentence and word clearly. For example, there is such a topic: a cuboid canned anchovy, 15 cm long, 1 cm wide and 6 cm high. Stick a 5 cm high trademark paper (excluding the top and bottom) on its side. What is the area of this trademark paper at least? I didn't read the topic carefully when I did it, so I picked up a pen and wrote: (15×6+1×6)×2=3 (square centimeter). After the teacher approved it, I read it wrong and felt very strange. Later, I read the title again, and finally found the wrong reason: the title said that the trademark with a height of 5 cm was attached to the side, but I didn't see this requirement. Later, I finally corrected it: (15×5+1×5)×2=25 (square centimeter). It can be seen how important a careful and serious attitude is. I will be more careful in the future.
(Author: Zhou Yi)
The sixth week
Before the National Day, we learned new knowledge in mathematics. I know what volume is and what volume is. Unit of volume commonly used in daily life includes cubic centimeter, cubic decimeter and cubic meter. In the class, the rate of advance between two adjacent unit of volume is deduced according to what we have learned before.
I found a problem when doing this knowledge, that is, it is easy to make mistakes in the most basic topic of conversion. For example: 72 cubic centimeters = () cubic decimeter, I filled in 72, and I made a mistake in one thought. In order to avoid such mistakes, I suggest that when reading the topic, it is best to read it word by word. Don't look at it in a glance, don't just pursue speed, and do a good job of checking one question after another. When filling in the unit, you should be clear about what kind of unit to fill in.
You must not relax when doing math problems. A seemingly simple problem may contain a mystery. Whether you are lucky enough to break it or be defeated depends on your attitude.
(Author: He Jia)
Today is another sunny day. I was wandering in the street, and suddenly I saw a lot of people gathered not far away. I ran over and saw that it was a lottery game. "Hum, what's fun about winning the prize?" I said wearily. Hearing this, the people next to him quickly said, "It's not fun to touch the prize, but it's attractive to win the prize." I asked eagerly, "What is it?" The man said with wide eyes. Hearing this, I am excited. "Such an attractive prize, I have to try whatever I say." After that, I asked the shopkeeper how to catch it. The shopkeeper said, "This is 24 mahjong. There are 12 fives and 12 sixes written under the mahjong. You can only catch 12 mahjong at a time. If the total number of 12 mahjong is 6, then you can win the 5 yuan Prize." Without much thought, I rolled up my sleeves and took out 5 yuan money from my pocket and gave it to the shopkeeper. Although I can catch it 12 times, I still didn't get the grand prize. After I got home, I thought about it, and I felt something was wrong. To catch 6 points, I had to mark all 12 mahjong with 5, but in case the number of mahjong targets I caught was 6 or the sum of them was the same, how many times I had to catch it and how much would it cost? Finally, after some consideration, I finally figured out the problem. I hurried to the street to get even with that guy, but I ran away without a trace.
(Author: Zhou Yi)
Week 7
Today, when I was doing my math homework at home, I was stuck in the second question of the intelligent shooting range, which made me think for several hours.
The topic is: Xiaojun, Xiaoliang and Xiaogang go to the bookstore to buy The Complete Story of Touching Primary School Students. If you buy three books with Xiaojun's money, you are still short of 55 yuan; Buy three books with Xiao Liang's money, but still short of 69 yuan; With the money brought by three people, we can buy more 3 yuan. It is known that Xiaogang has brought 37 yuan, so how much does it cost to buy a copy of The Complete Story of Touching Primary School Students?
I started with drawing, but I couldn't figure it out. I suddenly had a brainwave and thought of dad's usual problem-solving method: set X. I was enlightened, as if I could see the sun through the clouds. My idea of solving the problem is this: set the price of a book as X yuan, and Xiaojun will buy three books that are still short of 55 yuan, which means 3x-55; Xiaoliang bought three books, which is still short of 69 yuan, which can be expressed as 3x-69; Three people * * * brought money to buy three books, leaving 3 yuan, which means 3x+3. Finally, it is listed as an equation:
(3x-55)+(3x-69)+37=3x+3
, and the price of this book is calculated as 39 yuan.
students, have you encountered any problems? Sometimes, you can try it with the equation method like me.
(Author: Yang Yudong)
Week 8
Today, I read an exercise in a math extracurricular book: There are two ropes with the same length. The first rope is cut off by 3/4, and the second rope is cut off by 3/4 meters. Which rope is the remaining length?
My first impression was that the two ropes were the same length, because three quarters of them were cut off. I was just about to start writing an answer when I suddenly found the word "m" behind the second three quarters, and "3/4 m" was a specific quantity. The front 3/4 is a fraction, which represents 3/4 of the whole rope. The length of the rope is not told in the title, so I come to the conclusion that it is uncertain.
But on second thought, since the topic asks "Which rope is the longest", there must be a clear answer. After some thinking, I came up with a method. Let's assume that both ropes are 1m, the remaining part of the first rope should be
1× (1-3/4) = 1/4 (m), and the remaining part of the second rope should be 1-3/4 = 1/4 (m). Obviously, the remaining parts of the two ropes are the same length. I'm glad I worked out the answer by hypothesis.
Teacher's comment on writing:
This math weekly diary of yours expresses your thinking activities in the learning process in a very organized way, and writes out your real feelings. However, do the remaining lengths of the two ropes have to be the same? If the two ropes are more than 1 meter or less than 1 meter, please keep thinking!
(Author: Zhou Bingqian)
...
Through calculation, we also find that the reciprocal of the fraction where the numerator is 1 is its denominator; The reciprocal of a true score is a false score; The reciprocal of a false fraction whose numerator is greater than the denominator is a true fraction; The reciprocal of 1 is 1; Since is multiplied by any number to get , we infer that has no reciprocal. (Comment: How well and accurately summarized in your own language! )
The ocean of mathematical knowledge is endless, the garden of mathematical world is fascinating, and the grass of mathematical grassland is immortal. And mathematics is the endless ocean, the flowers that bloom, and the grass that lasts forever. Its magic is worth understanding; Its mystery is waiting for us to explore. Let's go to the fortress of mathematics together!
(Author: Yuan Xinyu)
These days, we have learned new mathematics knowledge, mainly fractional multiplication. When calculating, you should first write down the formula with a blank line, and then cut points. I found that sometimes only two numbers can be reduced, but sometimes the reduced number can continue to be reduced. If you are not careful enough and don't get into the good habit of checking, students will often forget this step, or some students will write the number after the approximate score too small, and then they will read it wrong themselves, so I suggest that you write the number after the approximate score bigger and more clearly in your exercise books and test papers, and try to check one question as much as possible. (Comment: I wrote my personal experience in the learning process, ok! )
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(Author: He Jia)
Week 9
This week, we learned the knowledge of fractional division, including integer divided by fraction, fraction divided by integer and fraction divided by fraction. Among these knowledge, what I like best is the division of fractions by fractions, because it makes me understand that the calculation method of dividing fractions by integers is also applicable to the division of fractions by fractions.
This week, we also had a unit exercise. My work was not satisfactory, and it was all wrong topics. I know a little about some topics, but I didn't ask the teacher for advice, which led to my inability to do them. Through the teacher's conversation, I know that I must listen to the methods and remember the main points in class, analyze the problems carefully when I meet them, and check them with another method when I finish a problem. In this unit of fractional multiplication, I have a little knowledge about finding relational sentences and equivalent relations, because my method is wrong, which leads to many problems losing points. I will carefully analyze the meaning of the question in the future.
(Author: Yan Rui)
Week 12
This week, we got to know Bi and ended the knowledge of fractional division. "Do you know" on page 71 of the math book introduces us to the "golden ratio", which can make the works feel beautiful. The production of the national flag is also based on the knowledge of "golden ratio". The ratio of "golden ratio" is about .618. Since ancient Greece, "golden ratio" has been applied to plastic arts.
after learning this unit of comparison, I found that it is very easy for me to write the "comparison number" of comparison as "division number", and sometimes I make mistakes in the process of "simplifying comparison" and "finding ratio". In question 14 on page 74 of the book, I wrote the first item and the second item backwards, and as a result, I made a mistake in a simple question. If you want to write the ratio of two numbers in this unit, you must see clearly which number comes first and which number comes last. Otherwise, even simple questions will be made wrong. Therefore, when checking, be sure to read the topic again, so as to ensure foolproof.
When studying mathematics, you should not be careless, but be careful and careful again. I must form the habit of checking after writing, so as to improve the correct rate of solving problems and make my grades by going up one flight of stairs. This is an important conclusion I have drawn for many years.