Math Week Book II of Grade Six 1 Hi, the kingdom of mathematics is here, and your "pistachio" is here! This week, I will study the arrangement and review of the mathematics kingdom. Look, aren't all the questions I learned here? I can't remember which question! Don't confuse positive and negative proportions, and then come to the math of bicycles. Look how dedicated our math teacher is! I pushed my bike out just to let us learn, explore and succeed. Let me teach you elves! Think about it. Keep an eye on how far you can go. You can do the math. The key is to stare at the front gear once and look at the back gear several times. Of course, just know the circumference of the wheel. We also know that the revolution of the front gear times the number of teeth of the front gear is equal to the revolution of the rear gear times the number of teeth of the rear gear. It is the teacher's heart that makes us study hard, so I want to say to the teacher here: "I love you, teacher!" " You have worked hard! "
See you next week, Math Kingdom, be there or be square!
In this week, we learned the problems of finding laws, permutation and combination and logical reasoning.
In the process of finding the law, the law is found according to the number of points and several points. If five points are connected into several lines, the formula is 1+2+3+4, that is to say, 1 is added to the number less than a few points at first, which is much simpler than connecting one point with another. For example, if two points are connected into a line, then 1 points will add up to form three lines, which will be arranged one by one according to this law, even if there are 100, 1000, 10000? It is also a piece of cake.
In terms of logical thinking, I know that the examples in this column can be excluded from the list. The teacher said that if you want to be a policeman when you grow up, you have to be able to solve crimes. If you want to solve the case, you must find clues. We solved the problem by exclusion.
Exercise 18, we have done a lot of review questions, and we also know the secrets of these questions: 1, first review the meaning of the questions; 2. Draw a table to help you solve it; 3. Determine the goals one by one by inference or exclusion.
Well, I have to say goodbye to you again in the ninth week of fighting. Be sure to arrive at our knowledge tour on time, and don't be late! I am very happy this week, because my knowledge has increased. Goodbye, my friends.
I don't believe that you can learn extra-curricular knowledge by studying mathematics. But I know today. March 22nd every year is World Water Day! China is one of the countries with 13 water shortage. More than 400 cities are short of water, among which 1 10 city is seriously short of water. Knowing this knowledge, I made a survey. I took a bucket by the faucet in the park and let the water drop by drop. The time is 10 minute. Through calculation, 78.843 million tons are wasted, and the water can be used by 1.75 million people. Unexpectedly, the drop-by-drop flow actually flowed so much. We must save water and protect the earth.
Graduation is coming soon, and we have to review what we have learned. We learn step by step, for example, 1.2.3.4 is a positive number, 0. 1.2.3 is a natural number, -4. -3.-2- 1. is a negative number and 0. 1.2.4 is an integer. Simple calculations are very useful to us. Arithmetic, calculating the area. In short, additive commutative law. Multiplicative commutative law, multiplicative associative law and multiplicative distributive law.
Flexible use of our knowledge makes us useful to our motherland.
In a blink of an eye, the winter vacation passed. In the first week of school, we learned negative numbers and the first part of cylinders and cones. In order to represent two quantities with opposite meanings, a negative number appears, and a "-"sign is used to represent the negative sign. Numbers learned before, such as 15 and 16, are called positive numbers, and "+"is used to indicate the plus sign, but the plus sign can also be omitted. These symbols have also appeared in the passbook, for example, -200 indicates that 200 yuan was spent, and +500 indicates that 500 yuan was deposited. The upper and lower zero of thermometer, the upper and lower floors, altitude, water level, profit and loss, increase and decrease of output, score and deduction are all positive and negative numbers widely used in life. However, it must be remembered that 0 is neither positive nor negative. When it is relatively large, the size is finally compared by drawing the number of axes. On a straight line, the number on the right of 0 is positive, and the number on the left is negative, while all positive numbers are greater than 0 and all negative numbers are less than 0, so all positive numbers are less than negative numbers. Columns, candles, lanterns, etc. They are all cylinders, and the two round surfaces of the cylinder are called the bottom surface; The surrounding surface is called the side surface; The distance between two bottom surfaces is called height. If the side of a cylinder is open, it is a rectangle. The length of a rectangle is equal to the circumference of the bottom of the cylinder, and the width is equal to the height of the cylinder. Surface area of cylinder = lateral area of cylinder+area of two bottom surfaces. Remember that there are two bottom surfaces, and lateral area of cylinder = perimeter of bottom surface × height. For special occasions, such as cylindrical caps and pen containers, only one floor space plus a lateral area is needed, and only one lateral area is needed for road rollers and posters.
A good beginning is half the battle. Let's make persistent efforts!
This morning, my mother suggested going to Zijingshan Park. I am very happy. I jumped three feet high and wanted to be a superman, dragging my mother to the Zijingshan Park!
Dad took us to Zijingshan Park and wouldn't let me get off without asking you. Dad mysteriously said to us, "You can't get off until you answer the question correctly." Dad proudly said to us, "Suppose it's100km from home to Zijingshan Park. If you take a taxi from 6 yuan and walk 10 km, you will have to wait for the traffic lights for at least five minutes, one minute 1. 25 yuan, how much does it cost to get here from home at least? I had a brainwave with my eyes open. Yuan Yuan times 5 is about 6.3 (Yuan Yuan). I have come up with the answer, and I can't wait to tell my father. Father suddenly felt as if he had been hit by a meteor and had to let us off.
As soon as I entered the door, I was surprised. Many people gathered in one place, as if in a meeting. One person shouted and won the grand prize by answering math problems for free. How much has it increased from 1 to 9999? When I heard it was a math problem, I was overjoyed and in high spirits. Mom adds them one by one, and forgets them at 238. As soon as I thought the answer was right, I racked my brains and finally solved the problem.
Diverse
Diverse
I immediately told the answer and my thoughts, and he said excitedly, "This boy got it right!" Everyone opened my eyes with envy, and my mother said, "Great Yang Jinsong. "
There is mathematics everywhere in life. As long as you pay attention to it, you can find it!
This weekend, the weather was fine, Wan Li was clear and suitable for running, so my father said to take me to the park for running.
After coming to the park, my father asked me to help him time and see how long it would take him to run a lap. At the beginning of the timer, it only took my father five minutes to finish a lap easily. After reading the results, my father said to me, "Xuanye, I'll give you 1/2 more time, so you can run." And I suddenly said unconvinced, "Dad, I certainly don't need so much time. Please time me! " "
My father was surprised when I ran around angrily. He said, "You are amazing. You only used my 1/4 time, plus this 1/2 time. It's no use giving you more time! " I asked eagerly, "Then tell me what the score is?" Dad left a message: "This can only be done by yourself."
So I figured it out. Dad's time is 5 minutes. I used his 1/4, which is 5 × 1/4 = 1.25 (minutes) and then added this time 1/2, which is1.25+65438. 25× 1/2 = 1.875 (minimum). Wow! I'm glad I can run so fast!
The little author has a pair of eyes sensitive to discovery and a heart good at feeling. Mathematics comes from life and is also used in life. I hope all children can be conscientious people in life and feel the value of mathematics in life.
Today, I read such a problem in the Primary School Mathematics Newspaper: A, B, C and D took out the same amount of money and jointly ordered several goods of the same specifications. After buying the goods, Party A, Party B and Party C took 3 pieces, 7 pieces and 14 pieces more than Party D respectively. At the final settlement, B paid Ding 14 yuan, so how much did C pay Ding?
Read the topic and find it very simple! I decided not to read Analysis and Solution, but to do it myself first. So, I did well, but I found that I was a few dollars less than the answer in Analysis and Solution. This is true, just look at "Analysis and Solution":
Four people spend the same amount of money to buy the same goods, then everyone should get the same amount of goods. In fact, Ding got the least share. How much is missing? As long as the goods divided by Party A, Party B and Party C are equally divided into four parts, it can be found that Ding Shaode (3+7+ 14)÷4=6 (pieces) during distribution. The payment for Ding Shao's goods should be paid by Party B and Party C. B is 7-6= 1 (pieces) more than the average share of four people. He returned 14 yuan to D, indicating that the price of 1 piece is 14 yuan, and D is short of five pieces of money, which should be paid by C.
I am really ashamed after reading it. I didn't expect this. It seems that there should be a lot of undiscovered mathematics around us, so let us, the flowers of our motherland, explore and discover it. We should start action now before it's too late.
During the winter vacation, my grandmother and I went to buy books. We bought a math book called How to Learn Mathematics in Primary School.
This book is very good. It contains Fundamentals and Development and Training Paper. Don't look at these two items. There are so many contents in it!
The contents include "Understanding and Addition and Subtraction of Decimals", "Understanding Graphics", "Multiplication of Decimals", "Observation Object", "Division of Decimals", "Fairness of Games" and "Understanding Equations" ... The training and testing articles are a collection of unit 1 to unit 7, test AB and final comprehensive test. ...
One of the interesting questions is this: The title is Chess. It's fair to ask who plays chess first. I thought about it and asked a lot of people, but there was no answer. Finally, I looked at the answer, huh? ! It is solved by tossing a coin to decide who will go first. What an unexpected answer.
I also thought about the fairness of games in life. For example, at the beginning of a basketball game, you can't give the ball to whoever you want, and you can't give the ball to one side according to your own wishes. Instead, the referee threw the ball into the middle of the court, and then one person from each team competed for the ball. Whoever wins first will fall to that side, and the game officially begins.
I think if there is no fairness in the world, it will cause quarrels; Quarrel will lead to war; War will lead to destruction; There may not even be a country in the end.
Therefore, it is absolutely impossible that there is no fairness in the world. This kind of question has given me great enlightenment.
In the ninth chapter of Mathematics Weekly, the second volume of the sixth grade, I once heard an Olympic math teacher say: learning mathematics is like a fishing net; Solving problems is like catching fish, and mastering the method of solving problems is like having a net; So the difference between "learning math well" and "learning math well" lies in whether you have a fish or a net.
Mathematics is a very thoughtful and logical course, so it always gives people the illusion.
Geometry in mathematics is very interesting. Each number is interdependent, but it also has its own advantages. Such as a circle. The formula for calculating the area of a circle is s=r2. Because of different radii, we often make some mistakes. For example, "A pizza with a radius of 9 cm and a pizza with a radius of 6 cm are equal to a pizza with a radius of 15 cm". Proposition, this topic first confuses everyone and gives people an illusion. It skillfully uses the formula of circular area, giving people a wrong balance.
In fact, a pizza with a radius of 9 cm and 6 cm is not equal to a pizza with a radius of 15 cm, because the pizza with a radius of 9 cm and 6 cm has an area of s=r2=92 62= 1 17, while the pizza with a radius of 15 cm has an area of S = R2 =.
Mathematics is like a mountain, towering into the sky. At first we felt relaxed, but the higher we climbed, the steeper the mountain became, which made people feel scared. At that time, only those who really love mathematics will have the courage to continue climbing. Therefore, people who stand at the peak of mathematics love mathematics from the heart.
Remember, people who stand at the foot of the mountain can't see the top of the mountain.
Sixth-grade math weekly article 10 "Ding" With the ringing of the bell, we rushed into the classroom in lightning speed and returned to our seats. Because there was a math exam in this class, the classroom was filled with tension.
The test paper was issued, and we didn't have the heart to write my own name. We couldn't wait to read the questions first, and there was a stir in the classroom. "No, I didn't review this question." "My God, this is so hard." "Ha, it's so simple, it's a piece of cake." ……
"Start answering questions." At the teacher's command, the classroom suddenly quieted down, and even the famous talker He Long kept silent. Look, he is writing at his desk seriously! There is a rustle of writing in the classroom, just like a charge on the battlefield. In this way, a fierce paper war began. Raiders one, the first big question, fill in the blanks. Haha, it's too simple. I'll mark this problem by three times five divided by two. Two questions, three questions, very smooth, it seems that I must get high marks this time. Fourth question, oh, no, it's stuck. One minute, two minutes passed. Sweat oozed from my forehead, and my hand holding the pen kept shaking. I racked my brains to think hard and carefully recalled the teacher's explanation. Alas, who told me not to listen in class? What a retribution! Ok, let's do the next question.
I handed in my test paper and saw some students flushed with excitement, but I was always unhappy. However, "it is not too late to mend." I am sure I can hand in a satisfactory answer sheet in the next exam.
Notes on Math Weekly Book II of Grade Six 1 1 We will change our math teacher this semester, that is, Miss Xia. From what I know about him, I think this is a strict and good teacher.
The teacher gave us two classes, one was a public demonstration of mathematics, and the other was a psychology class. My first impression of him is that he is very strict. He is tall and thin, unlike other teachers who always smile.
I was deeply impressed by his math class. In that class, the whispers in the past class disappeared. Everyone studies hard and all their attention is focused on the teacher. He listened carefully to his every word. He also used a short' small sentence pattern' to sum up what he learned in math class that day, which gave us different feelings. Later, when he called for class to be over, the bell sounded crisp and sweet.
Judging from teacher Xia's message to parents, I think this teacher should be very responsible. He should inform his parents before school starts, so that we can prepare for the exam when school starts. He also set up a QQ group, perhaps to get to know us faster! I must start working hard. What a conscientious and responsible teacher this is!
To tell the truth, I'm a little nervous and scared. My bad habit of procrastination and carelessness should be completely changed.
Mathematics Weekly Record 12, the second volume of the sixth grade, is a pure subject. You don't have to have a high IQ to learn math well. As long as you lay a good foundation, pay attention to details and mistakes, and learn to summarize the types of mistakes,
So as to draw inferences.
You don't have to ask the sea tactics to do math. As long as you grasp the rules, you can pick up a frame in your mind. Every link in the framework has a typical example. I don't advocate sticking to difficult problems. If I do, I can't do it, which will not only waste time, but also cause frustration. Over time, I will lose confidence and enthusiasm for mathematics. Doing math problems should be less and more precise, less and more frequent, and learn new things by reviewing the old ones.
I think to learn math well, we must do the following:
(1) Be sure to preview the materials the teacher will explain before class. For simple things, you should understand them yourself, consciously remember axioms, formulas and inferences, and draw what you don't understand;
(2) Listen carefully in class, never lose your mind, pay more attention to your confusion when previewing, and write down typical examples;
(3) Do the exercises carefully after class, increase training in places where you are not sure, and recite formulas.
The main way to learn mathematics is to deepen understanding and remember in understanding.
Mathematics is a rigorous subject, and mistakes are not allowed. After studying, I found that to learn mathematics well, we must have a modest and prudent attitude, meticulous thinking and meticulous spirit. The topics are ever-changing and the methods are unique. As long as you master the method of learning mathematics, learning mathematics well is naturally simple.
Notes on Mathematics Weekly Book II of Grade Six 13 In our life, mathematics is everywhere.
Don't believe it? What happened today proves this point. At noon, my mother gave me twenty yuan to buy a bottle of soy sauce and a bottle of honey in the supermarket. After arriving at the supermarket, I first chose a bottle of "Douheng" brand soy sauce, 4.40 yuan. After that, I went to buy honey. There are only two kinds of money, the first is 8.60 yuan, and the other is only 8.40 yuan. I thought, "The hexagon of the first type and the four corners of soy sauce can make up a dollar, which is easy to calculate. The first type is twenty cents more expensive than the second type, which means the quality is good." So, I picked up the first kind of honey and soy sauce, paid the money at the cashier's desk, and went home happily with the recovered 7 yuan money. In the evening, my friend invited me to go skating, and I readily agreed. I thought, "I'm going to bring chocolate today, and everyone will share it." How much should I bring? I thought about it and brought twelve. If there are two, 12÷2=6, which can be divided equally; If there are three people, 12÷3=4, we can get an average score ... According to this calculation, 1, 2, 3, 4, 6 and 12 children can get an average score. So, I took twelve chocolates to go skating. Sure enough, three people came. I gave each of them four chocolates and just finished eating them.
There is a lot of mathematics knowledge in life, which can't be learned by careless students!
Today, the math teacher gave me a thinking question about running a boat. I don't quite understand, so let my mother tell me something. I don't understand yet. My mother suddenly said to me, "Stop fooling around and play for a while. I'll take you boating in the afternoon." I jumped for joy!
In the afternoon, my mother took me boating by the lake, and several uncles sat by the lake waiting for the arrival of customers. I asked my uncle, "How much is it to rent a boat?" My uncle told me that a boat costs 100 yuan. After my mother paid the money, my uncle brought life jackets for us to put on, and we started boating.
My mother and I started rowing in the direction of the current. The boat rowed quickly and effortlessly. My mother took the opportunity to ask me, "What is the speed of water?" I suddenly understood that still water speed (ship speed)+current speed (water speed) = downstream speed; Then, my mother and I rowed against the current. The boat rowed slowly and had a lot of effort. My mother asked me again, "What is the speed of countercurrent?" I replied, "still water speed-current speed = current speed." Finally, my mother said, "We rowed along the river once and against the current once. Is it equivalent to going from A to B and returning from B? " I said, "Yes." "How should the current speed be calculated?" I quickly replied: "(downstream speed-upstream speed) ÷2= current speed." Mom praised me for being great!
It seems that mathematics is closely related to our life. I must study hard and master more math skills in order to apply what I have learned and solve the problems around me.
I am a girl who doesn't love or hate math, but a math class has changed me.
One day, a math teacher from lost face walked into a cram school, looking unhappy. As soon as he entered the teacher, he looked at the water and criticized us, saying that our homework was a mess yesterday and the whole class only got 100. Hearing this, everyone blushed involuntarily. After a while, the teacher asked us to guess who this classmate scored 100. The students blinked doubtfully, shook their heads and twittered their guesses.
"If I had to guess, the score of 100 must be a .."
"no! It should be learning B, and B's mathematics is the best. "
One student said this, another said that, but the teacher kept shaking his head.
"Teacher, who is it?" All of a sudden, the teachers burst into laughter, and everyone wanted to wait and know the answer quickly.
The math teacher smiled and said to me; "This 100 branch is not yours, is it?"
Before I could answer, there was already a lot of talk in the classroom.
"Quiet," the teacher said loudly. "This 100 score is her. You may be surprised, but when you think she can't do it, the more she can do it. The teacher came up to me with a smile as he talked, and his eyes were full of trust.
"You will get more 100 points in the future, and the teacher trusts you!"
"hmm." I nodded my head. At this time, applause rang out in the classroom.
After that, I found that I didn't like math. Girls who hate math fall in love with math classes!