The new semester has begun, and when we reach the graduating class, new pressure will follow.

There are familiar faces in this strange classroom. We are all old classmates and don't know how to restrain our words and deeds. 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 the big brothers and sisters of children in other grades, and we should be their role models. As big brothers and big sisters, we are also a group of fresh graduates who are trying to get into a good junior high school. Ask questions if you don't understand, and don't delay your study because of good face or embarrassment. The so-called learning is learning and asking questions, so we should ask for advice with an open mind, correct mistakes, and cultivate Excellence without making mistakes.

We should work harder in this new semester. Teachers should preview new lessons in advance and review them in time after class. As the saying goes, review the past and learn the new. Good habits can get good grades. Only through hard work can 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 by 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 a few bugs suddenly appear in your vegetables, you don't take any measures and ignore them at a distance because you are afraid of bugs. In the end, because of your timidity, all the dishes were eaten, all the efforts were in vain, and finally fell short.

Only brave people can win.

(Author: Zhang Beibei)

Second week

In this unit, we mainly studied equations. Through learning, I know how to solve the equation of two-step calculation and how to establish the equation to solve the application problem. There are five steps to solve the application problem of column equation: 1, find the equivalence relation; 2. Set an unknown number; 3. Establish the equation according to the equivalence relation; 4. Solve the equation; 5. check. If you can follow these five essentials when solving application problems, then solving application problems is a piece of cake. Among the application problems learned in this unit, the most difficult problem is travel. There are several essentials in solving a problem, that is, to grasp the starting place, starting time, moving direction and moving result, and 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. 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)

Third week

Time flies, and soon a week has passed. This week, we learned about cuboids and cubes. We have learned some plane figures before, such as triangle, trapezoid, rectangle and so on. Now our understanding of numbers has deepened. This unit is my favorite, but I can't help but have some questions I can't understand. For example:

A cuboid can be sawed into two cubes. It is known that the sum of the sides of a cuboid is 96 cm. What is the area under the cube?

My answer is:

96÷2=48 cm

4812 = 4 cm

4×4= 16 (square centimeter)

I watched it again, and finally changed my mind and found the correct way to solve this problem: after sawing the cuboid into two cubes, the length of the cuboid is sawed into two cubes with the same side length, width and height. The side length of a cuboid is divided by the side length of 16 of two cubes, so the correct answer should be:

96÷ 16=6 (cm)

6×6=36 (square centimeter)

I love math. Mathematics is a game. As long as you love thinking, you will find many mysteries.

(Author: Lu Tingting)

Fourth week

These days, we have learned how to calculate the surface areas of cuboids and cubes. I know the surface area of a cube = side length × side 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 read every word clearly. For example, there is a topic: a cuboid canned anchovies, length 15cm, width 10cm and height 6cm. Stick a 5 cm high trademark paper on its side (not including the top and bottom). What is the area of this trademark paper at least? Without looking at the topic carefully, I picked up a pen and wrote: (15×6+ 10×6)×2=30 (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 reason for the mistake: the title said to put a 5 cm high trademark on the side, but I didn't see this requirement. Finally, it was corrected: (15×5+ 10×5)×2=250 (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)

Sixth week

Before the National Day, we learned new mathematics knowledge. 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 class, the forward speed between two adjacent unit of volume is deduced from what we have learned before.

When doing this knowledge, I found a problem, that is, it is easy to make mistakes in transforming this most basic topic. For example: 720 cubic centimeters = () cubic decimeter, I filled in 72, and it was wrong in a moment. In order to avoid such mistakes, I suggest that when reading the topic, it is best to read it word by word. Don't be clear at 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 clearly fill in what kind of unit.

You must not relax when doing math problems. A seemingly simple question may contain 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 when I suddenly 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 winning the prize is very attractive." I asked eagerly, "What is it?" The man said with wide eyes. I'm very excited to hear that. "I will try anything with such an attractive prize." Then I asked the shopkeeper how to catch it. The shopkeeper said, "This is 24 Mahjong, and it says 12 5, 12 6 under Mahjong. You can only catch 12 mahjong at a time. If the total number of mahjong in 12 is 60, then you can win the 50 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 caught 12 times, I still didn't get the grand prize. When I got home, I thought about it and felt something was wrong. To catch 60 points, I have to mark 12 mahjong with 5, but in case the target number of mahjong I catch is 6 or the sum of 6, how many times do I have to catch it and how much will it cost? Finally, after some consideration, I finally figured it out. I hurried to the street to get even with that guy, but I escaped without a trace.

(Author: Zhou Yi)

Seventh week

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, Liang Xiao and Xiaogang go to the bookstore to buy The Complete Works of Touching Pupils. Buying three books with Xiaojun's money is still short of 55 yuan; Buy three books with Xiao Liang's money, but still lack 69 yuan; With the money brought by three people, you can buy 30 yuan more. It is known that Xiaogang brought 37 yuan, so how much does it cost to buy a copy of The Complete Works of Touching Primary School Students?

I started with painting, but I can't figure it out. I suddenly had a brainwave and thought of my father's common problem-solving method: set X, and I was suddenly enlightened. 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 worse than 55 yuan, that is, 3x-55; Liang Xiao bought three copies, but it is still short of 69 yuan, which can be expressed as 3x-69; Three people * * * brought money to buy three books, leaving 30 yuan, which is 3x+30. Finally, it is listed as an equation:

(3x-55)+(3x-69)+37=3x+30

Calculate the price of this book as 39 yuan.

Students, have you also encountered a problem? Sometimes, like me, you can try the equation method.

(Author: Yang Yudong)

Eighth week

I saw an exercise in a math extracurricular book today: there are two ropes with the same length. The first rope cut 3/4 meters, and the second rope cut 3/4 meters. Which rope has the remaining length?

My first feeling was that the two ropes were the same length, because they were all cut off by 3/4. I was just about to start writing the answer when I suddenly found the word "m" behind the second 3/4, and "3/4 m" was a specific quantity. The first 3/4 is a fraction, representing 3/4 of the whole rope. The length of the rope is not mentioned in the title, so my conclusion 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 1 m, and the rest of the first rope should be

1× (1-3/4) =1/4 (m), and the remaining second rope should be 1-3/4 = 1/4 (m). Obviously, the remaining two ropes are the same length. I'm glad I got the answer through hypothesis.

Teacher's comment on writing:

Your math weekly diary expresses your thinking activities in the process of learning in a very organized way and writes your true feelings. But do the remaining lengths of the two ropes have to be the same? If the two ropes are greater than 1m or less than 1m, please keep thinking!

(Author: Zhou Bingqian)

……

Through calculation, we also find that the reciprocal of the fraction whose numerator is 1 is its denominator; The reciprocal of true score is false score; The reciprocal of a false fraction whose numerator is greater than the denominator is a true fraction; The reciprocal of 1 is1; Since 0 is multiplied by any number to get 0, we infer that 0 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 competitive, and the grass of mathematical grassland is immortal. And mathematics is an endless ocean, a blooming flower and an eternal grass. 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)

I have learned new mathematics knowledge these days, mainly fractional multiplication. When calculating, write down the formula with a blank line first, and then cut the point. I found that sometimes I can only reduce two numbers, but sometimes I can continue to reduce the number. If you are not careful enough to form a good habit of checking, students will often forget this step, or some students will write the approximate score too small, and then they will read it wrong, so I suggest you write the approximate score bigger and clearer in your exercise books and test papers, and try to check each question as much as possible. (Comment: I wrote about my personal experience in the learning process, ok! )

……

(Author: He Jia)

Ninth week

This week we learned about fractional division, including integer divided by fraction, fraction divided by integer, and fraction divided by fraction. Among all these knowledge, I like fractions divided by fractions best, because it makes me understand that the calculation method of fractions divided by integers is also applicable to fractions divided by fractions.

We also had a unit exercise this week, and my completion was not ideal, all of which were wrong questions. I know a little about some topics, but I didn't ask the teacher for advice, which led me not to do it. Through the teacher's conversation, I know that I must listen to the methods, remember the main points, analyze the problems carefully when I meet them, and check them with another method after I finish one question. In this unit of fractional multiplication, I have a little knowledge of finding relational sentences and equivalence 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)

Twelfth week

This week we met Bibi and ended the knowledge of fractional division. The "Do you know" on page 7 1 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 0.6 18. Since ancient Greece, "golden ratio" has been applied to plastic arts.

After learning this unit of comparison, I found that it is easy for me to write "comparison number" as "division number", and sometimes I make mistakes in the process of "simplifying comparison" and "seeking comparison". On page 74 of the book, in question 14, I wrote the first and second items backwards, and 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 wrong. Therefore, when checking, you must read the topic again, so as to ensure foolproof.

When learning mathematics, you should not be careless, but be careful and careful again. I must get into the habit of checking after writing, improve the correct rate of solving problems and make my grades go up a storey still higher. This is an important conclusion I have drawn over the years.

(Author: He Jia)

How time flies! A week passed in a blink of an eye.

This weekend, I reviewed my extracurricular book Interesting Mathematics again. This book is very interesting. I will never forget the story here. The topic here is not boring at all, but attracts my attention like a magnet. Although I have to rack my brains, I am very happy. The title of this issue is as follows: there is a strange five-digit number, and a number 1 is added in front to get a six-digit number; Adding a number after it, of course, also got a six-digit number; However, the second six-digit number is exactly three times that of the first six-digit number. What is this strange five-digit number?

When I started doing it, I didn't know where to start. Later, I became familiar with this idea. Suppose this number is ABCDE, then the first six digits are 1ABCDE, and the last six digits are ABCDE 1, so that we can solve the problem in tabular form:

1ABCDE

× 3

ABCDE 1

So we get A=4, B=2, C=8, D=5, E=7, and this five-digit number is 42857.

Mathematics is sometimes a bit boring, but it is more lively and interesting, which is why I like interesting mathematics and why I like mathematics.

(Author: Huang Hao)

Week 13

This week, we mainly studied fractional elementary arithmetic. The operation order of fractional elementary arithmetic is the same as that of integer and decimal elementary arithmetic, and the operation rule of integer is also applicable to fractional operation. But when calculating, you can't copy the wrong numbers and operation symbols. You can use a simple method to calculate, and you should strictly follow the steps of "look, think, calculate and check" to complete each calculation problem.

By the way, a question in Exercise Book left me with endless aftertaste: A number ÷ B number = 0.6, and the ratio of A to B is (). The students' ideas are really ingenious: take 0.6 as 3/5, the number A is 3, the number B is 5, and the ratio of the number A to the number B is 3: 5, but I will give examples one by one and then make it the simplest integer ratio. Simplifying complex things may be the purpose of learning mathematics.

(Author: Huang Hao)

……

Xu teacher taught us a magic weapon to improve the accuracy of calculation: seeing, thinking, calculating and checking. When I usually do my homework, I always feel that it is too much trouble, so I am too lazy to do it, which leads to many mistakes. This week, I did a problem that completely changed my mind. The title is as follows: (28+2/7× 7/8 )× 1/4. The result of the first step is (28+ 1/4 )× 1/4. Next, I could have expanded by multiplication and division to make the calculation simple, but when I did this problem, in order to improve the speed. Think about it carefully, it's really not worth it! In the future, I will do every question according to the "magic weapon of eight characters", and I will be self-defeating rather than eager for quick success.

(Author: Ma Rui)

I was stumped by a difficult problem when I was doing the problem today. The topic is: Campus Art Festival. The ratio of the number of girls to the number of boys in the chorus is 6: 5. Later, five boys were added, and the number of boys was 8/9 of that of girls. How many girls are there in the chorus? After thinking for a long time, I finally solved this problem: "At this time, the number of boys is 8/9 of that of girls", so now there are 8 boys and 9 girls; It turned out to be five boys and six girls. The number of girls caught has not changed, 8: 9 = 16: 18, 5: 6 = 15: 18, 1 6-15 =/kloc-0. I want to thank xu teacher, who taught me how to judge the questions and let you teach me to be patient when doing them. I will certainly continue to work hard and not let you down!