Mathematics knowledge points in the second volume of the fifth grade of Jiangsu Education Edition

1. A short story about the knowledge points of mathematics in grade five.

A short story about fifth grade mathematics 1. There are interesting stories about mathematics.

1, Mathematical Story-A customer went to a cane shop and bought a cane from 30 yuan. He took out a 50 yuan bill and asked for change. It happened that there was no change in the store, so the shopkeeper went to his neighbor's house to change 50 yuan's money and changed the customer 20 yuan's change. Just after the customer left, the neighbors came running in a panic. It is said that this ticket for 50 yuan is fake. The shopkeeper had to compensate his neighbor 50 yuan. Then he went out to chase the customer, grabbed him and said, "You liar, I paid my neighbor 50 yuan, and I gave you 20 yuan. You took another cane, and you have to compensate me for the loss of 100 yuan. " The customer said, "The cost of a walking stick is 30 Yuan You left when your neighbor gave you change. I would like to add here that the cost of crutches is 20 yuan. If this customer succeeds, how much will * * * cheat? 2. Story: Monkeys steal hats. A group of monkeys are playing by the well. A gust of wind blew a monkey's hat into the well. He asked 18' s friends to get hats from the pine trees by the well one by one. Four monkeys don't climb trees, so they go for hats. Q: How many monkeys go up and down the well to grab their hats? 3. Story: When did the snail climb the well? A snail accidentally fell into a dry well, and it was crying at the bottom. A toad came up to the snail and said, "don't cry, little brother, it's no use crying." The wall of the well is so high and slippery that I can only live here. I have lived here for many years. The snail looked at the old and ugly toad and thought, "I can never live in a dark and cold well like it." The snail said to the toad, "Uncle toad, I can't live here. I have to climb out. How deep is this well? " "Ha ha ha ... that's a joke. The depth of this well is10m. How can you climb out with such a heavy shell on your back at a young age? " "I am not afraid of suffering, not afraid of being tired. I can always climb out after a while every day! " The next day, the snail was full and began to climb along the wall. It keeps crawling and crawling. At night, it finally climbed 5 meters. The snail was very happy and thought, "At this rate, I can climb out tomorrow night." Thinking about it, I fell asleep unconsciously. In the morning, the snail was awakened by a purr. At first glance, it turned out that Uncle Tu was still sleeping, and my heart was shocked. It turned out that this snail fell asleep and slipped down 4 meters from the well wall. The snail sighed, gritted his teeth and began to climb again. At night, it climbed down another 5 meters. In this way, it crawled, crawled, slid, slid, and finally the strong snail climbed onto the well platform. Clever children, can you guess how many days it took the snail to climb the drilling platform?

2. 10 Mathematical Story (shortest)

Where is the one yuan?

Three people stayed in a hotel, and the price per person per day was 10 yuan. Everyone paid 10 yuan, and the total was the boss 30 yuan. Later, the boss gave a discount of 5 yuan and asked the waiter to return it to them. As a result, the waiter embezzled 2 yuan, and each of the remaining 3 yuan returned 1 yuan, which means that each person spent 9 yuan's money. Three people spent a total of * * * 27 yuan, plus 2 yuan, a corrupt waiter, spent a total of * * * 29 yuan. Where did the dollar go?

Divide apples

There are five students in Xiaomi's family Xiaomi's father wants to entertain six children with apples, but there are only five apples at home. What shall we do? I have to cut the apple, but I can't cut it into pieces. Xiaomi's father wants each apple to be cut into three pieces at most. This has become another topic: divide five apples equally among six children, and each apple is not allowed to be cut into more than three pieces.

How did Xiaomi's father do it?

Ma Xiao Hu cooked chicken

During the Spring Festival, Xiao Mahu, a professional chicken farmer, stood in the yard, counted the total number of chickens, decided to stay and gave 1/2 to the nursing home. After he sent the chickens away, he heard the chickens crowing in the room, only to know that there were 10 chickens missing. So I counted the chickens inside and outside the room again, and there was nothing wrong, no more, no less, just 1/2 left. Little careless and strange. What's the problem? Do you know how many chickens Xiao Mahu counted in the yard? "This article is organized by the first model essay network, and the copyright belongs to the original author and the original source. 』

How many guests came one day and Xiao Lin was washing dishes at home. Xiao Qiang saw it and asked, "Why do you wash so many bowls?" "

We have guests at home. ""How many people came? " Kobayashi said, "I don't know. I only know that each of them uses a rice bowl, two people share a soup bowl, three people share a vegetable bowl, four people share a big wine bowl, and one * * uses 15 bowl. "Do you know how many guests are here?

3. Ask for three math stories in the fifth grade

The spider's "gossip" net is a complex and beautiful octagonal geometric pattern, and it is difficult for people to draw a symmetrical pattern similar to a spider's net even with the compass of a ruler.

In winter, when a cat sleeps, it always hugs its body into a ball. There is also mathematics in it, because the shape of the ball minimizes the surface area of the body, so it emits the least heat. The real "genius" of mathematics is coral.

Coral writes a "calendar" on its body, and "draws" 365 stripes on its wall every year, apparently one a day. Strangely, paleontologists found that corals 350 million years ago "painted" 400 watercolors every year.

Astronomers tell us that at that time, the earth only had 2 1.9 hours a day, not 365 days a year, but 400 days. 10, Tang Priest and his disciples pick peaches one day. The Tang Priest told his disciples Wukong, Bajie and Friar Sand to go to Huaguo Mountain to pick peaches.

Before long, the three disciples returned happily after picking peaches. Tang Priest and his disciples asked: How many peaches did each of you pick? Bajie said with a silly smile, Master, let me test you.

Each of us took the same amount of money. There are less than 65,438+000 peaches in my basket. If we count three peaches, there are 1 peach left in the end. Do the math. How many did each of us choose? Friar Sand said mysteriously, Master, I will test you, too.

If there are four peaches in my basket, there is 1 left in the end. Do the math. How many did each of us choose? Wukong smiled and said, Master, I'll test you, too.

If there are five peaches in my basket, there will be 1 in the end. Do the math. How many shall we each choose? 1 1, ">" A long time ago, the kingdom of mathematics was very chaotic and disorderly.

The ten brothers from 0 to 9 not only dominate the kingdom, but also boast about their best skills. Digital angels were very angry when they saw this situation, so they sent stories about Roman numerals, 12 and 0. Several symbols were used to represent numbers, and they were combined to represent different numbers according to certain rules.

When using this number, the number "0" is not needed. At that time, a scholar of the Roman Empire discovered the symbol "0" from Indian notation. He found it very convenient to use "0" for mathematical operations, and he also introduced the Indian method of using "0" to everyone.

The Pope knew then. The Pope was very angry. He rebuked that the sacred number was created by God, and there was no "0" monster in the number created by God. So he ordered the scholar to be arrested, and his ten fingers were tightly clamped with a clamp, so that his hand was disabled and he could no longer write with a pen.

In this way, "0" was banned by the ignorant and cruel Pope. However, although the use of "0" is forbidden, Roman mathematicians still use "0" secretly in mathematical research regardless of the ban, and still make a lot of mathematical contributions with "0".

Later, "0" was finally widely used in Europe, but Roman numerals were gradually eliminated. 13, the oldest interesting math problem is in seven houses, each with seven cats; No matter which of the seven cats can catch seven mice; Each of these seven mice eats Three wheat; If each ear of wheat can peel off seven grains of wheat, how many houses, cats, mice, ears of wheat and grains of wheat add up? A: The total number is 19607. There are 7 houses, 7×7 = 49 cats, 7×7 = 343 mice, 7× 7 = 2401ear of wheat, 7×7×7 = 16807 grains.

All add up to 7+72+73+74+75 =1960714. Honeycomb is a very sophisticated construction project. When bees build nests, young and middle-aged worker bees are responsible for secreting flaky fresh beeswax, each of which is only the size of a needle, while other worker bees are responsible for carefully placing these beeswax in a certain position to form a vertical hexagonal column.

The thickness and error of each beeswax partition wall are very small. The width of the six partition walls is exactly the same, and the included angle between walls is exactly 120 degrees, forming a perfect geometric figure.

People have always wondered why bees don't make their nests into triangles, squares or other shapes. Why is the partition flat, not curved? Although the beehive is a three-dimensional building, each beehive is a hexagonal cylinder, and the total area of beeswax wall is only related to the cross section of the beehive. This leads to a mathematical problem, that is, to find the plane figure with the largest area and the smallest perimeter.

15, Snail Climbing Well German mathematician Rees once wrote such a math problem: The well is 20 feet deep and the snail is at the bottom of the well. It climbs 7 feet during the day and drops 2 feet at night. How many days will it take to reach the wellhead? Analysis: If you think the answer is 20/(7-2)=4, it's all wet! The key to solve this problem is to consider that the crawling situation on the last day is different from that of the previous days. Solution: The height of the snail climbing for one day and one night in the first three days: (7-2)*3= 15 (feet) The last day of climbing: * * The time taken to measure the height of the pyramid: 16. One day, Thales saw people reading the notice, and he went up to have a look.

The initial notice said that Pharaoh wanted the smartest person in the world to measure the height of the pyramid. Thales is going to Pharaoh.

Pharaoh asked Thales what tools he used to measure the pyramids. Thales said that it is strange that everyone only uses a stick and a ruler.

He put the stick next to the pyramid, and when the shadow of the stick was as long as the stick, he measured the pyramid. He measured the length of the shadow of the pyramid and half the length of the bottom of the pyramid.

Add these two lengths to get the height of the pyramid. Thales is really the smartest man in the world. He can easily measure the height of the pyramid without climbing to the top.

About 1500 years ago, European mathematicians did not know how to use "0". They use Roman numerals.

Roman numerals are symbols representing numbers, which are combined to represent different numbers according to certain rules. When using this number, the number "0" is not needed.

At that time, a scholar of the Roman Empire discovered the symbol "0" from Indian notation. He found it very convenient to use "0" for mathematical operation, and he was very happy. He also introduced the Indian method of "0" to everyone.

After a while, it was known by the pope at that time. At that time, it was the Middle Ages in Europe. The power of the church was very strong, and the power of the pope far exceeded that of the emperor.

4.30 math stories, shorter.

For many students, memorizing math stories is boring, and sometimes its importance is often ignored.

However, after adding "onion and garlic seasoning" such as mathematical stories to the oral calculation, it has become a "gourmet" for students. Let's "taste" it together: ● Bajie ate some peaches. Bajie went to Huaguoshan to find Wukong, but the Great Sage was not at home.

The little monkeys warmly entertained Bajie and picked 100 of the most delicious peaches in the mountains. Bajie said happily, "Let's eat together!" How to eat? Counting ***30 monkeys, Bajie found a branch and drew it on the ground, and listed the formula, 100÷30=3. .. 1 Bajie pointed to the top three and said generously, "Everyone can eat three pecans. Look, the rest 1 I ate it! " The little monkeys were very grateful to Bajie. They thanked him one by one, and then each took his share.

When Wukong came back, the little monkeys told Wukong how generous Bajie was today and why he only ate a pecan. Seeing Pig's arrangement, Wukong shouted, "What a fool! I'll find him! " Haha, do you know how many peaches Bajie ate? The origin of numbers Xiaoming is a child who likes to ask questions. One day, he became interested in the numbers 0-9: Why is it called "* * * numbers"? So he went to ask his mother: "Since 0-9 is called' * * * number', it must have been invented by * * * people, mom?" Mom shook her head and said, "* * * Numbers were actually invented by Indians.

About 1500 years ago, Indians used a special word to represent numbers. There are 10 words, and you can write both strokes. Later, these figures were introduced into * * *. * * * people think these numbers are simple and practical, so they are widely used in their own countries and spread to Europe.

In this way, it gradually became the number we use today. Because * * * people have played a great role in the spread of these numbers, people are used to calling them "* * * numbers". "

Xiao Ming heard this and said, "So that's it. Mom, can this be called' making a mistake'? " Mom smiled.

● Children's Song Competition The animal school held a children's song competition, and the elephant teacher was the referee. The little monkey raised his hand first and began to recite: "I can calculate carry addition, and the digits can only be added if they are aligned."

The number of digits should be aligned with the number of digits. When the number of digits exceeds ten, the number of digits should be advanced to ten. Ten digits plus one plus one can count quickly and accurately. "

As soon as the little monkey finished speaking, the puppy began to recite again: "abdication and subtraction are not difficult, just align the numbers." If the single digits are small enough, ten people can borrow one.

If ten people return, one will be ten, and if they return, one will be missing. How to reduce ten digits, ten digits will be reduced again and again. "

Everyone applauded their wonderful performance. Teacher Elephant said, "Their nursery rhymes make us understand that both carry addition and abdication subtraction should win the championship, ok?" Everyone agrees and applauds them.

Long ago, the kingdom of mathematics was quite chaotic. The 0-9 brothers not only dominate the kingdom, but also boast of their greatest skills.

The math angel was very angry when he saw this situation. He sent three little angels to the math kingdom to establish order and avoid chaos. Three little angels came to the kingdom of mathematics, and 0-9 brothers looked at them contemptuously.

Q: "What are you three doing in the kingdom of mathematics? You are not welcome! " He smiled and said, "We are judges sent by angels to help you govern your country. I am an equal sign, and these two are' greater than sign' and' less than sign'. Whoever they speak to is greater. Whoever they point to is small. "

When the ten brothers heard that they were judges sent by angels, they obeyed the orders of God and ... and from then on, the mathematics kingdom had a strict order, and no one would violate it.

● Little Bear Opens a Shop Little Bear doesn't like studying, just wants to do business, so he opened a fruit shop next to the school. Rabbit and monkey are his classmates. They have agreed to teach this lazy guy who doesn't like school.

They came to bear's fruit shop. "How much are the peaches?" Asked the little monkey.

"The first basket is 6 yuan and 3 Jin, and the second basket is 6 yuan and 2 Jin." The bear replied.

The little monkey said, "If I take 5 kilograms from two baskets, I will pay you 12 yuan, right?" The bear nodded. "That I want it all. Since 5 kg is 12 yuan, then 60 kg is 12* 12= 144 yuan, right? " "Exactly, exactly."

Said the bear. So the little monkey bought all the peaches, paid the money and left happily with the little rabbit.

When I get home at night, the bear pays the bill, which is a loss anyway. The next day, the little monkey and the little rabbit found the little bear and told him the situation. They smiled and said, "It's all because you don't study well that we came to teach you a lesson." They replenished the little money to the bear.

Bear hung his head in shame, and since then, he has been very serious in class every day. The three of them became good friends.

One day, the Tang Priest ordered his disciples Wukong, Bajie and Friar Sand to go to Huaguoshan to pick peaches. Soon, the three disciples came back happily after picking peaches.

Tang Priest and his disciples asked: How many peaches did each of you pick? Bajie said with a silly smile, Master, let me test you. Each of us took the same amount of money. There are less than 65,438+000 peaches in my basket. If we count three peaches, there are 1 peach left in the end.

Do the math. How many did each of us choose? Friar Sand said mysteriously, Master, I will test you, too. If there are four peaches in my basket, there is 1 left in the end.

Do the math. How many did each of us choose? Wukong smiled and said, Master, I'll test you, too. If there are five peaches in my basket, there will be 1 in the end.

Do the math. How many shall we each choose? Tang Priest quickly said the number of peaches he had picked. Do you know how many peaches each of them picked? A young man came to see Mr. Liu and introduced himself: "My name is Yu Jiang. I'm taking a tour group to Hong Kong this time. I heard that your hotel has a comfortable environment and good service. We want to stay in your hotel. "

Mr. Liu quickly said enthusiastically, "Welcome, welcome. I wonder how many people are there in your group? " "People, well, it's a big group." Mr. Liu was overjoyed: it's great to have big groups and enterprises.

As a tour guide, Yu Jiang saw Mr. Liu's mind. He said slowly, "Sir, if you can count the number of people in our group, we will stay in your hotel." "Please go ahead."

Liu.

5. Ask five fifth-grade math stories with only 50 words, and then tell me the answers.

When Thales came to Egypt, people wanted to test his ability, so they asked him if he could measure the height of the pyramids. Thales said yes, but on one condition-Pharaoh must be present. The next day, Pharaoh arrived as scheduled and many onlookers gathered around the pyramid. Before Cyrus came to the pyramids, the sun cast his shadow on the ground. After a while, he asked people to measure the length of his shadow When the measured value is completely consistent with his height, he immediately made a mark on the projection of the Great Pyramid on the ground, and then measured the distance from the bottom of the Pyramid to the projection spire. In this way, he quoted the exact height of the pyramid. At the request of Lao Wang, he explained how to push from "shadow length equals body length" to "tower shadow equals tower height", which is today's similar triangles theorem.

King Shiloh Archimedes of Syracuse asked the goldsmith to make a crown out of pure gold. Because it is suspected that there is silver mixed in it, Archimedes is invited to identify it. When he entered the bathtub to take a bath, the water overflowed outside the bathtub, so he realized that although the weight of objects made of different materials was the same, the discharged water would be different because of their different volumes.

According to this truth, it can be judged whether the crown is adulterated. Everyone knows the story of Hua. Hua is a world-class mathematician who taught himself.

He only has a junior high school diploma. Because a paper was published in Science magazine, it was appreciated by mathematician Xiong Qinglai. From then on, North China went to Tsinghua and began his mathematics career.

6. The fifth grade math story is within 30 words.

The origin of * * * numbers

Xiaoming is a child who likes to ask questions. One day, he became interested in the numbers 0-9: Why is it called "* * * numbers"? So he went to ask his mother: "Since 0-9 is called' * * * number', it must have been invented by * * * people, mom?"

Mom shook her head and said, "* * * Numbers were actually invented by Indians. About 1500 years ago, Indians used a special word to represent numbers. There are 10 words, and you can write both strokes. Later, these figures were introduced into * * *. * * * people think these numbers are simple and practical, so they are widely used in their own countries and spread to Europe. In this way, it gradually became the number we use today. Because * * * people have played a great role in the spread of these numbers, people are used to calling them' * * * numbers'. "

Xiao Ming heard this and said, "So that's it. Mom, can this be called' making a mistake'? " Mom smiled.

Children's song competition

The animal school held a children's song competition, with the elephant teacher as the referee.

The little monkey raised his hand first and began to recite: "I can calculate carry addition, and the digits can only be added if they are aligned." The number of digits should be aligned with the number of digits. When the number of digits exceeds ten, the number of digits should be advanced to ten. Add ten and one to count quickly and accurately. "

As soon as the little monkey finished speaking, the puppy began to recite again: "abdication and subtraction are not difficult, just align the numbers." If the single digits are small enough, ten people can borrow one. If ten people return, one will be ten, and if they return, one will be missing. How to reduce ten digits, ten digits will be reduced again and again. "

Everyone applauded their wonderful performance. Teacher Elephant said, "Their nursery rhymes make us understand that both carry addition and abdication subtraction should win the championship, ok?" Everyone agrees and applauds them.

Skills of, and.

A long time ago, the kingdom of mathematics was chaotic. The 0-9 brothers not only dominate the kingdom, but also boast of their greatest skills. The math angel was very angry when he saw this situation. He sent three little angels to the math kingdom to establish order and avoid chaos.

Three little angels came to the kingdom of mathematics, and 0-9 brothers looked at them contemptuously. Q: "What are you three doing in the kingdom of mathematics? You are not welcome! "

He smiled and said, "We are judges sent by angels to help you govern your country. I am an equal sign, and these two are' greater than sign' and' less than sign'. Whoever they speak to is greater. Whoever they point to is small. "

When the ten brothers heard that they were judges sent by angels, they obeyed the orders of God and ... and from then on, the mathematics kingdom had a strict order, and no one would violate it.

Xiao Xiong opens a shop.

Bear doesn't like studying, but just wants to do business, so he opened a fruit shop next to the school. Rabbit and monkey are his classmates. They have agreed to teach this lazy guy who doesn't like school.

They came to bear's fruit shop.

"How much are the peaches?" Asked the little monkey.

"The first basket is 6 yuan and 3 Jin, and the second basket is 6 yuan and 2 Jin." The bear replied.

The little monkey said, "If I take 5 kilograms from two baskets, I will pay you 12 yuan, right?"

The bear nodded.

"That I want it all. Since 5 kg is 12 yuan, then 60 kg is 12* 12= 144 yuan, right? "

"Exactly, exactly." Said the bear.

So the little monkey bought all the peaches, paid the money and left happily with the little rabbit.

When I get home at night, the bear pays the bill, which is a loss anyway. The next day, the little monkey and the little rabbit found the little bear and told him the situation. They smiled and said, "It's all because you don't study well that we came to teach you a lesson." They replenished the little money to the bear.

Bear hung his head in shame, and since then, he has been very serious in class every day. The three of them became good friends.

7.5 grade math story 150 word dictionary

Today, my family went to KFC in Longgang for a family meal.

When we get there, people are always crowded. We finally ordered good food and found a seat to sit down. Here comes the food. This is a sumptuous set meal. There are 12 drumsticks in it. I thought: how to divide it equally? Then I remembered the division of 12÷3=4. We each have four drumsticks. Later, I ate my mother's 1 chicken leg and my aunt's two chicken legs. My aunt said, "You can't eat this for free. I ask you, how much did you eat? " How many more servings do you have to eat before you can finish them all? "I thought about it and replied," I ate 7/ 12, and then I ate 5/ 12. I ate all of it. "Fortunately, I learned the knowledge of fractions and can answer the questions correctly.

(2)

Today, my mother gave me 10 yuan to go shopping in the supermarket. I bought a string of firecrackers 2/ 10, four lollipops/10, seven balloons 2/ 10, and finally a comb 4/ 10, a *. There is still one yuan left, and I have to pay it back to my mother. (3) At night, I saw a difficult problem in the Olympiad Book: the number of apple trees in the orchard is three times that of pear trees. Master Lao Wang fertilizes 50 apple trees and 20 pear trees every day. A few days later, all the pear trees were fertilized, but the remaining 80 apple trees were not fertilized. Excuse me: How many apple trees and pear trees are there in the orchard?

I am not intimidated by this question, but it can stimulate my interest. I think the apple tree is three times as big as the pear tree. If two kinds of trees are to be fertilized on the same day, Master Lao Wang will fertilize "20*3" apple trees and 20 pear trees every day. In fact, he only fertilizes 50 apple trees every day, which is 10, and the last 80 trees. Therefore, Master Lao Wang has been fertilizing for 8 days. 20 pear trees a day, 8 days is 160 pear trees. According to the first condition, there are 480 apple trees. This is to solve the problem with the idea of hypothesis, so I think the hypothesis method is really a good way to solve the problem.

(4)

There is a problem in today's math homework to weigh a pair of shoes. So I went to my mother and asked for a scale. Mom said she didn't have weighing scale. What shall we do? However, as the saying goes, "Nothing is difficult in the world". I think there must be a way.

So, I used my clever brain and came up with a homemade balance.

I cut off the paper covers of the empty moon cake box piece by piece, brought transparent folding tape, folded one of the paper covers into a regular triangle and put it on the table. Another piece of paper is made into the left and right disks of the balance and placed on the triangle in a balanced way. Then find something with weight at home as a weight. For example, my mother bought new toothpaste and lipstick with120g, 40g,18g and 3.5g..

Both have grams.

I'm very excited to say that the shoe activity has started. I put the shoes on the left side of the homemade balance and the "weight of goods" on the right side. It is best to balance the weight on both sides. Then the sum of the weights is the weight of my shoes. Exactly 86 grams. Hard work pays off! I finally finished my math homework. Mom praised me when she found out.

He also joked with me: "In ancient times, there was a clever Cao Chong as an elephant, but now there is a clever Han Han as a shoe!"

Say that finish, everyone laughed.

It turns out that there are scales everywhere in life!

(5)

Today, I found a math problem at home.

I found that a cup of cola is 800g, a cup of green tea is 500g, and a cup of iced black tea is unknown, so I added another message-Fan Wen, the flower king of iced black tea.

I calculated according to the teacher's method: 800-200=600, then 600+500= 1 100, and finally1100+800 =1900, so it's a *.

I think there are many math problems in daily life. I hope that children can observe more math problems around them.

Give points ~-~