Intellectual game for 6th grade, presentation for lesson (6th grade) on the topic
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A well-constructed brain is worth more than a well-filled brain. (Michel Montaigne) Intellectual game
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Good afternoon dear friends! Let's get acquainted - my name is Um Umych. Guys, Um Umych, a professor of mathematical sciences, today will be the host of the “Knowledge Auction” game. And I am Smart Owl, your assistant and consultant.
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Warm-up Literary Grammar Geographical Historical Sports
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Solve the example by guessing the names of literary works... thousands of leagues by water. ... captain. ? 40 thousand leagues by water. 2 captains. 20 Team 1
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Solve the example by guessing the names of literary works... bear? ... moments of spring. Team 2 3 bears 17 moments of spring. 51
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Solve the example by guessing the names of literary works... days around the world. Hearts...-x. ? Team 3 80 days around the world. Hearts of 4. 76
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Solve the example by guessing the names of literary works: The Wolf and... the Little Goats. ...months. ? Team 4 Wolf and 7 kids. 12 months 19
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Find the “hidden” mathematical terms in the sentence and define them. The match commentator spoke very highly of the Zenit center forward. The match commentator spoke very well about the Zenit center forward. Team 1
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Find the “hidden” mathematical terms in the sentence and define them. Masha washed the dishes and tidied up the room to calm her worries. Masha washed the dishes and cleaned the room to ease her conscience. Team 2
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Find the “hidden” mathematical terms in the sentence and define them. The process of growing crystals is complex, and if the necessary conditions are not met, a monocrystal will not be obtained. The process of growing crystals is complex, and if the necessary conditions are not met, a single crystal will not be obtained. Team 3
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Find the “hidden” mathematical terms in the sentence and define them. Mom braided a very tight ribbon into Alena’s braid. Mom braided Alena’s very tight ribbon into her braid. Team 4
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Name the sum of the numbers of the year in which this historical event occurred... Team 1 Battle of Borodino 1812 1+8+1+2=12
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What is the sum of the numbers of the year in which this historical event occurred... Team 2 Battle of Kulikovo 1380 1+3+8+0=12
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What is the sum of the numbers of the year in which this historical event occurred... Team 3 Battle of Kursk 1943 1+9+4+3=17
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What is the sum of the digits of the year in which this historical event occurred... Team 4 The first manned space flight 1961 1+9+6+1=17
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Name the settlements in whose names the numbers are “hidden”. Seva...pol. …poly. ... palatinsk. ...gorsk. ...river. Sevastopol Tripoli Semipalatinsk Pyatigorsk Dvurechnaya
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From the given questions, choose two that have the same answers. The number of players on one team on the football field. The length of one half in football. Shortest running distance at the Olympic Games. Number of Olympic rings. The number of players on one team on the volleyball court. The number of players on one team on the basketball court. 4) And 6) Five Olympic rings and five players.
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Knowledge Auction
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Nominal value of questions - one point - two points - three points
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“About butter...” Vasya eats a piece of butter every day for breakfast. Within a week, the length, width and thickness of a piece of butter were halved. How many breakfasts will the remaining butter last for Vasya? Estimate how many times the volume of a piece of butter has decreased in seven days.
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“About the ram...” In order to eat a ram, a fox will need 6 days, a wolf – 3 days, a lion – 2 days. How many days will it take them to eat the ram if they decide to have a joint feast? Determine what part of the sheep each of them will eat in one day.
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“About mushrooms...” Freshly picked mushrooms contain 98% moisture. How much will 10 kg of mushrooms weigh if they lose 2% moisture? Determine the mass of “dry” matter in mushrooms.
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“About the plane...” An airplane flying at a speed of 720 km/h covers the distance between cities in 7 hours. How long will it take the plane to make this flight if there is a headwind blowing at a speed of 20 km/h? Determine the speed of the plane in a headwind and make a proportion.
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“About pumpkin...” Karpovna’s Olympiad garden produced an unprecedented pumpkin harvest. The largest of them weighs 8 kg and another third of its weight. Determine the weight of this pumpkin. Determine what part of the pumpkin is 8 kg.
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https://www.walland.ru/photo.php?id=7745 https://www.ati.com.ua/foto-maslo-slivochnoe_bbf_308396.html www.xrest.ru https://blogs.stopgame.ru /topic/18209/ https://forum.ryazmama.ru/index.php?PHPSESSID=7edcafad0a6dd08ff2de525f2385b51c&topic=246.435 https://crazymama.ru/forum.php?a=2&id_p=890&id_t=1060&page=127
Intellectual game in mathematics “15 non-standard problems” (grades 5-6) material (grades 5, 6) on the topic
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If we really know something, we know it through the study of mathematics. P. Gassendi 15 non-standard problems If you want to learn how to swim, then boldly enter the water, and if you want to learn how to solve problems, solve them. D. Polya “Mathematical discovery”
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Why should you study mathematics? Why is mathematics so necessary for humans? Why can’t a biologist, chemist, physicist, or astronomer do without it? Yes, because it, like natural sciences, studies the world around us. The only difference is that physics, chemistry, and biology study objects and phenomena of the world around us from the point of view of their quality or, as they say, from the side of their content. Mathematics studies the same objects from the side of their quantity, space and time, as they say, from the side of their form. The most important thing about mathematics is that it teaches you to think clearly, logically, and strictly. Modern man must understand the world in which he lives. And what, if not mathematics, allows us to discover the nature of a wide variety of phenomena with one key, to understand their essence? Is this why the ancient Greeks, when choosing a name for it, settled on the word “mathema”, which means “knowledge”. And isn’t that why the German mathematician Karl Gauss called her “the queen of sciences”?! Recognizing the proud, royal greatness of mathematics, it is at the same time called “the servant of all sciences.” Since its inception, mathematics has always faithfully served all sciences.
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French mathematician and physicist, philosopher and writer. Life did not spoil him. From birth he was in poor health. At the age of 3 he lost his mother. Concerns about Blaise's health and upbringing fell on the shoulders of his father, a prominent French mathematician. The adults spared the sickly boy, protected him from premature interests, and therefore avoided studying mathematics with him. But Blaise began to study it on his own. On the floor with charcoal and on paper with a pencil, he drew figures, giving them his own names. So, he called a straight line a “stick”, and a circle a “ring”. The young mathematician discovered a lot of interesting things for himself. One day the secret became clear. The father suddenly entered the room. His mathematician's eye immediately appreciated Blaise's hobbies. His father was delighted with his success and allowed him to study mathematics. Blaise Pascal (1623 – 1662)
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154 rubles 1. Cheburashka bought 7 identical notebooks in the store. How much did he pay? 1) 200 rub. 2) 154 rub. 3) 307 rub. 4) 222 rub. 10
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by 20 2. If you move 10 notebooks from one stack to another, then there will be an equal number of notebooks in the stacks. How many more notebooks were there in one pile than in the other? 15
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15 3. There are 36 students in the class. There are 6 more boys than girls. How many girls are there in the class? 5
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3 4. There are 10 red and 10 blue balloons in a box. The seller, without looking, takes out one ball at a time. How many balls must be pulled out so that among the balls taken out of the box there will definitely be two balls of the same color? 20
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5 r 5. Masha and Alina have the same amount of money. How much money should one of them give to the other so that Alina has 10 rubles more than Masha? 15
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Russian mathematician, Russia's first female academician. Even as a child, she showed extraordinary talent for mathematics. Once, sheets of paper with calculations on higher mathematics were used to preliminary wallpaper the walls in the house. Incomprehensible formulas captured the inquisitive girl. For a long time she stood in front of these mysterious records, understanding them. At first, adults were not very happy with such passionate mathematical interests: should a girl do this?! But she found books, studied mathematics on her own, sat by a kerosene lamp for long nights, quietly from adults. Sofya Vasilievna Kovalevskaya (1850 – 1891)
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bluebells 6. An absent-minded housewife has three boxes for seedlings with the inscriptions “cucumbers”, “flowers” and “tomatoes”. She planted the seeds of tomatoes, cucumbers and bluebells in these boxes so that all the inscriptions turned out to be wrong. What's growing in the box labeled "tomatoes"? “cucumbers” “tomatoes” “flowers” 20
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7th place 7. 31 athletes took part in the race. The number of athletes who came running before Igor was four times less than the number of those who came running later. What place did Igor take? 10
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7 black balls 8. There are 15 balls in a box: red, white and black. There are 7 times more white balls than red ones. How many black balls? 25
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31 9. Mom baked different pies: 20 with meat, 10 with cottage cheese, 15 with jam. What is the smallest number of pies that must be taken (you cannot break them) so that among them there will definitely be a pie with jam? thirty
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8 10. The circle and the rectangle were friends. “Unfortunately,” the circle said to the rectangle, “we can’t have more than x points in common, even if I grow or shrink. What is x equal to? 15
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German scientist. He made major discoveries in mathematics, physics, and astronomy. At the age of 7, Karl began studying at a public school. The first two years there they studied only reading and writing. In third grade we studied mathematics. One day, at the beginning of the 3rd year of study, the teacher asked the children to find the sum of natural numbers from 1 to 100. All third graders began to move their slates along the boards. Only little Karl immediately put his board on the teacher’s desk. The teacher looked at Karl mockingly - he did not even allow the thought that this problem could be solved instantly. But Karl remained completely calm. He sat for a long time waiting for his comrades to finish their work. But in the end, the boards of all the students sequentially lay on top of each other. With the usual movement of his hands, the teacher turned over a pile of boards to begin reviewing those papers that were handed in first. Karl's work surprised the teacher. The boy’s solution was not only correct, but very simple and original: 1 + 2 + 3 + … + 98 + 99 + 100 = (1 + 100) + (2 + 99) + … + (50 + 51) = 101*50 = 5050. Carl Friedrich Gauss (1777 – 1855)
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500:50 = 10, 10 + 1= 11 (1st at the beginning) 11. The distance between two telegraph poles is 50 m. How many telegraph poles should be installed at a distance of 500 m? 10
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M, Sh, F, P 12. Uncle Fedor (F), the cat Matroskin (M), Sharik (Sh) and the postman Pechkin (P) are sitting on the bench. If Sharik, sitting to the right of everyone, sits between Uncle Fedor and the cat, then the cat will become the one on the far left. In what order are they sitting? 25
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25 13. The students were taken on an excursion. When they were built in pairs, one student was left without a pair. Then they began to build them in threes, then in fours, and each time one student remained extra. Only when they were built in groups of fives, there were no extra students left. How many students were there? 20
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in 8 years 14. Grandfather is 64 years old, and grandson is 16 years old. In how many years will the grandfather become three times older than his grandson? 15
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8 t.r. 15. A calf is four times more expensive than a dog, and a horse is four times more expensive than a calf. A dog, two calves and a horse cost 200 rubles. How much does a dog cost? 10
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One of the founders of modern physics. All his discoveries were based on mathematical research. In his early years he was considered lacking in ability. He spoke late and avoided his peers. The gymnasium teacher told Albert: “You, Einstein, will never come out of anything worthwhile.” And none of those around could have imagined that in front of them was a genius. A few years later, Einstein wrote a paper. One of the physics professors admitted: “I read it, but I didn’t understand anything!” Yes, Einstein's discoveries were understood by very few people at first. Entire volumes had to be written to make his discoveries accessible to a wider circle of scientists. One day, many years later, A. Einstein was asked to donate the manuscript of his work for sale, and with the proceeds to help the needy Spaniards who were fighting against the dictatorship. But the manuscript was lost in the archives. Then he hand-wrote his work again to sell it to collectors. In 1944, the Public Library of Congress bought the manuscript, paying $6 million for 30 pages. Albert Einstein (1879 – 1955)
