Mathematical games and puzzles presentation. Project "Math Puzzles and Games"
Math games and puzzles are very popular, as are all games. And not always more difficult game– more interesting. Often millions of people play the most popular games with undying interest. simple games, they are the ones who go down in the history of mathematics and glorify their creators. Math games and puzzles are very popular, as are all games. And the more complex game is not always the more interesting. Often millions of people play the simplest games with undying interest; they are the ones that go down in the history of mathematics and glorify their creators.
The closest thing to mathematics are puzzles, but many puzzles were formed from games that once existed. Most of these fundamental games were invented by ancient Greek mathematicians. The closest thing to mathematics are puzzles, but many puzzles were formed from games that once existed. Most of these fundamental games were invented by ancient Greek mathematicians.
GAMES Protozoa math games often used as tasks in which you need to find winning strategy. Sometimes problems are very simple when they are solved using known methods. The simplest mathematical games are often used as problems in which you need to find a winning strategy. Sometimes problems are very simple when they are solved using known methods.
Tic Tac Toe Tic Tac Toe logic game between two opponents on a square field of 3 by 3 cells or larger (up to an “endless field”). One of the players plays with “crosses”, the second with “toes”. Tic-tac-toe is a logical game between two opponents on a square field of 3 by 3 cells or larger (up to an “endless field”). One of the players plays with “crosses”, the second with “toes”.
Currently, many algorithms for this game have been invented, based primarily on trying out various options. There are simple techniques of this game that players use, but attentiveness is most often decisive. Currently, many algorithms for this game have been invented, based primarily on trying out various options. There are simple techniques of this game that players use, but attentiveness is most often decisive.
Renju is a sports board logic game. Invented in China, most common in Japan, China, South Korea. Its older versions are also known as "gomoku", which means "five stones". Renju is a sports board logic game. Invented in China, most common in Japan, China, South Korea. Its older versions are also known as "gomoku", which means "five stones".
The NIM game and other games There are several games in which two players, guided by certain rules, take turns taking out a certain number of chips from one or more piles - the one who takes the last chip wins. There are several games in which two players, guided by certain rules, take turns taking out a certain number of chips from one or more piles - the one who takes the last chip wins.
TO similar games refers to Nim. There is an arbitrary number of piles of chips, and players take turns choosing one pile and removing any number of chips from it (but at least one is required). Nim is one of these games. There is an arbitrary number of piles of chips, and players take turns choosing one pile and removing any number of chips from it (but at least one is required).
Bache is a mathematical game in which two players take turns removing a limited number of N objects from a pile. The loser is the one who has nothing to take. Bache is a mathematical game in which two players take turns removing a limited number of N objects from a pile. The loser is the one who has nothing to take. mathematical game of the player mathematical game of the player Classic game implies N=15 and taking no less than 1 and no more than 3 items at a time. The strategy in this case is to complement the enemy's moves to 4. Also, a Bache game can be called a generalized game in which you can take from 1 to M items. The classic game involves N=15 and taking at least 1 and no more than 3 items at a time. The strategy in this case is to complement the enemy's moves to 4. Also, a Bache game can be called a generalized game in which you can take from 1 to M items. Named after the French poet and mathematician Bachet de Meziryac. Named after the French poet and mathematician Bachet de Mezyryac.Bachet de Mezyryac Bachet de Mezyryac
Stellar him. It is quite simple, but the strategy in it is not immediately visible. This game is played on a star-shaped figure. Place one chip on each of the nine points of the star. Players A and B take turns taking turns, removing at each move either one or two pieces connected by a straight line. The one who removes the last chip wins. It is quite simple, but the strategy in it is not immediately visible. This game is played on a star-shaped figure. Place one chip on each of the nine points of the star. Players A and B take turns taking turns, removing at each move either one or two pieces connected by a straight line. The one who removes the last chip wins.
PUZZLES Math puzzles There are a variety of: rotational (Rubik's cube), Magic rings, Games with a hole (tag), lattice and many others. There are a variety of mathematical puzzles: rotational (Rubik's cube), Magic rings, games with a hole (tag), lattice and many others.
"Rubik's Cube" The most famous puzzle of our time - the Rubik's Cube - began its victorious march around the world in 1978, when mathematicians first became acquainted with it at the International Mathematical Congress in Helsinki. The most famous puzzle of our time - the Rubik's cube - began its victorious march around the world in 1978, when mathematicians first became acquainted with it at the International Mathematical Congress in Helsinki.
The Rubik's Cube is a rotational puzzle. distinctive feature which is that it’s easy to confuse them, but not everyone knows how to quickly assemble them. The Rubik's Cube is one of the rotational puzzles, the distinctive feature of which is that it is easy to confuse them, but not everyone can solve them quickly.
When assembling, it is too difficult to cover the whole picture at once, it is more convenient for us to move methodically, step by step, first installing one piece, adjusting the second to it, etc. When assembling, it is too difficult to cover the whole picture at once, it is more convenient for us to move methodically, step by step step by step, installing one piece first, adjusting the second to it, etc.
Games with a hole Before the invention of the Rubik's cube, for many people, their acquaintance with puzzles began with tag - as it is often called famous game 15. Before the invention of the Rubik's cube, for many people, their acquaintance with puzzles began with tag - this is how the famous game 15 is often called.
Tag The history of games with a hole begins with tag - puzzles in which chips move along playing field due to the fact that one of the places on the field is free. The tags have many relatives, who form a whole section of these puzzles. The history of games with a hole begins with tag - puzzles in which chips move around the playing field due to the fact that one of the places on the field is free. The tags have many relatives, who form a whole section of these puzzles.
From 1891 until his death, Samuel Loyd believed that he had invented the puzzle. However, there is evidence that he was not involved in the creation of the “tags”. From 1891 until his death, Samuel Loyd believed that he had invented the puzzle. However, there is evidence that he was not involved in the creation of the “tags”.
Samuel Loyd Samuel (Sam) Loyd (eng. Samuel Loyd, January 31, 1841), Philadelphia April 10, 1911, New York) American chess player, chess composer and author of puzzles.English. January 31, 1841 Philadelphia April 10, 1911 New York American chess player chess puzzle composer
Game “Shifting Cards” At the moment after the cards have been laid out into two piles for the first time, then again folded into one pile, as indicated in the task conditions, the card with the intended number is among the bottom eight. These 8 cards will be distributed equally between the two piles the next time they are laid out. This means that after the cards are collected into one pile a second time, the card with the intended number will be among the four bottom ones. The third time it will be among the bottom two cards, and finally, after the fourth deal, the card will be the bottom of one of the piles. At the moment after the cards were laid out into two piles for the first time, then again folded into one pile, as indicated in the problem statement, the card with the intended number is among the bottom eight. These 8 cards will be distributed equally between the two piles the next time they are laid out. This means that after the cards are collected into one pile a second time, the card with the intended number will be among the four bottom ones. The third time it will be among the bottom two cards, and finally, after the fourth deal, the card will be the bottom of one of the piles.
Geometric puzzle “Thread a coin” The diameter of a 5-ticopean coin is 19 mm, a 5-ruble coin is 25 mm. I bend the paper so that the round hole stretches into a narrow slit. The length of the slot will be approximately equal to half the circumference of a 5-kopeck coin: (19*3.14)/2=29.83 mm. This is more than 25 mm. A 5-ruble coin passes through it. The diameter of the 5-ticopean coin is 19 mm, the 5-ruble coin is 25 mm. I bend the paper so that the round hole stretches into a narrow slit. The length of the slot will be approximately equal to half the circumference of a 5-kopeck coin: (19*3.14)/2=29.83 mm. This is more than 25 mm. A 5-ruble coin passes through it.
Conclusion Conclusion Calculating options is a fun and useful activity. The great mathematician Leibniz was right: “People show the most ingenuity in games, which means that mathematical games deserve attention not only in themselves, but also because they develop resourcefulness.” Calculating options is a fun and useful activity. The great mathematician Leibniz was right: “People show the most ingenuity in games, which means that mathematical games deserve attention not only in themselves, but also because they develop resourcefulness.”
Website addresses htm game Lethwaite htm game Lethwaite htm tic-tac-toe tic-tac-toe htm star nim htm star nim
There are 35 students in the class. 20 of them are involved in a math club, 11 are in a biology club, and 10 are doing nothing. How many children study both mathematics and biology? (6 people) In how many ways can 4 checkers be placed on a drawn board so that no two of them are in the same row or column? (A)64; (B) 28; (C) 16; (D) 8; (E)4. In the addition example: * + * + ?? = ? ? ? different figures replace different numbers. What number does the asterisk replace? (A) 9; (B) 8; (C) 7; (D) 6; (E) 5; The handball tournament consisted of teams A, B, C, D and E. Each team played each team exactly once. A win in the game is worth 2 points, a draw is 1, and a loss is 0. At the same time, team B, which took second place, scored more points than C, D and E together. It follows that (A) A took first place; (B) A beat B; (C) B won against C; (D) A and B tied; (E) such a result is impossible.
Mathematics Week 2014
Math puzzles
Mathematics teacher MBOU secondary school No. 18 village. Kharagun 2014
1. Result of addition. 2. How many numbers do you know? 3. Smallest three-digit number. 4. One hundredth of a number. 5. Device for measuring angles. 6. How many centimeters are in a meter? 7. How many seconds are there in a minute? 8. Result of division. 9. How many years are there in one century? 10. Smallest prime number. 11. How many zeros are there in the number “million”? 12. The size of a right angle. 13. When is a product equal to zero? 14. What is greater than 2 m or 201 cm? 15. What is less than 200 or 0.5?
Warm-up
Blitz quiz
1. Seven brothers have one sister. How many children are there in total? 2. Which is lighter: a kilogram of cotton wool or a kilogram of iron? 3.Two sons and two fathers ate three eggs. How many eggs did each person eat? 4. A pair of horses ran 40 km. How many kilometers did each horse run? 5. What in Rus' used to be called “broken numbers”? 6. What does each word, plant and equation have? 7. In the fairy tale “The Little Humpbacked Horse” we come across the following words: “I’m coming - tons of people!” Well, no way out, no way in!” How many people were there?
Divide the figure into two equal parts
How many triangles are there in the drawing?
1. A figure consisting of two rays emanating from one point. 2. A figure consisting of three points that do not lie on the same line and three segments. 3. The part of a line lying between two points. 4. Unit of length. 5. Tool for measuring the length of a segment. 6. Main figure. 7. Tool for measuring angles. 8. What does the word "arithmetic" mean? 9. A line that has neither beginning nor end.
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Slide captions:
mathematical puzzles State Budgetary Educational Institution boarding school Parkovy Zemtsova Irina Anatolyevna
To drive ships, To fly into the sky, You need to know a lot, You need to be able to do a lot. To become a doctor, sailor or pilot, you must first of all know mathematics.
Do you know the numbers? I round
An elephant has wings, but their number is equal.... 4 3 2 5 1 0 3 7 4 1
This number is often found in fairy tales 4 3 2 5 1 0 3 7 4 1
That figure, kids, consists of a trunk and a pathetic branch. 4 3 2 5 1 0 3 7 4 1
How many musicians are in the quartet? 4 3 2 5 1 0 3 7 4 1
Find the extra number 1 2 3 4 1 7 8 5
01 02 03 04 1 2 3 4
At what age can you ride a bicycle on the highway? 12 years 10 years 14 years 8 years 1 2 3 4
Round II Unusual problems
Chickens and dogs were walking in the yard. The girl counted their paws. It turned out to be ten. How many chickens and how many dogs could there be?
A rooster on one leg weighs 3 kg. How much will he weigh if he stands on 2 legs?
The dump truck was driving to the village. Three cars were driving towards him. How many cars in total were traveling to the village?
If you saw off one corner of a table, how many corners will remain?
III round geometric shapes
Which figure has no definition? 1 2 3 4 angle ray segment point
Part of a line bounded by two points? 1 2 3 4 angle ray segment point
Which geometric figure needed to punish children? 1 2 3 4 angle ray segment point
Which figure means “table” in Latin? 1 2 3 4
Which figure means “pine cone” in Greek? 1 2 3 4
Blitz tour
1. Fourth month. 2. Subtraction result. 3. The sum of the lengths of the sides of a rectangle. 4. How many fingers are there on 10 hands? 5. Largest two-digit number. 6. What is the name of the device for measuring segments? 7. How many millimeters are there in 1 meter? 8. A quadrilateral in which all sides are equal 9. What numbers do pilots write in the sky? 10.The numbers I, V, X are called (April) (difference) (Perimeter) (50) (99) (ruler) (1000 mm) (square) (eights) (Roman)
On the topic: methodological developments, presentations and notes
Lesson – business game “Working with a package of Power Point presentations.” During the lesson, a repetition of the material "spreadsheets" using CMMs, a repetition of technology...
Completed by: Valeria Vakhonina, Lana Serin, 5B grade. MBOU secondary school in the village of Toora-Khem Head: Korobeynikova Tatyana Yurievna. Mathematics project on the topic: Mathematical puzzles and games.
Goals and objectives: Find out what kinds of mathematical games and puzzles there are. Explore on your own various types math games and puzzles. Find out what math games are for, are they useful?
1) Puzzles. 2) Puzzles. 3) Games. 4) Tangram. 5) Conclusion. 6) Literature used. 7) Epilogue. Table of contents.
How to solve puzzles
Try to solve it yourself: puzzle 1.
Try to solve it yourself: puzzle 2.
Try to solve it yourself: puzzle 3.
1) Remove 5 sticks so that 3 of the same squares remain. puzzles
2) Remove 2 sticks so that 4 of the same squares remain. puzzles
3) Remove 4 sticks to make 5 squares. The squares may not be the same. puzzles
Rules of the game: The teacher writes several examples on the board in a column. Three guys stand with their backs to the board. The teacher points to one of the examples. The whole class solves it silently. Whoever decides raises his hand. One of those who decide is asked to say the answer out loud. Those standing at the board turn to face it and try to find an example with the named answer as quickly as possible. The one who does this first gets one point. game
Let's play! Calculate: 45 + 35 180 – 80 32: 2 18 + 31 150: 3
T angram. Tangram is an ancient oriental puzzle made from figures obtained by cutting a square into 7 parts in a special way: 2 large triangles, one medium one, 2 small triangles, a square and a parallelogram.
As a result of adding these parts to each other, we get flat figures, the contours of which resemble all kinds of objects, ranging from humans, animals and ending with tools and household items. You need to use all the details of the tangram and they should not overlap each other. You are given a drawing and you must determine where each figure is located. This is difficult, it takes time to find a solution. T angram.
Solve tangrams yourself
Conclusion. We have studied: the mathematical game Tangram, games with matches, puzzles, games with numbers. We concluded that mathematical games develop logic and attention. Tangram is a puzzle, construction set, and brain simulator. It teaches you to think logically. Any puzzle will help you calm down and relieve negative emotions. After such a game, the child will be much calmer and more balanced.
Funny arithmetic. Amenitsky N.N. Publishing house "Prosveshcheniye", 2008. Puzzles, charades, rebuses in the classroom and outside of school hours. Agapova I.A., Davydova M.A. Publishing house "Teacher", 2009. Internet resources. Literature used.
We hope everyone really enjoyed it and you fell in love with mathematics even more. There are many more fun and interesting things in mathematics interesting games on the ground. Our project is finished for now, but in the future we will continue it and find many more interesting games. Epilogue.
Thank you for your attention! Goodbye!