Mathematical riddles and puzzle presentation. Math puzzles

Math games and puzzles are very popular, as are all games. And not always a more difficult game is more interesting. Often, millions of people play the simplest games with unquenchable interest; it is they who enter the history of mathematics and glorify their creators. Math games and puzzles are very popular, as are all games. And not always a more difficult game is more interesting. Often, millions of people play the simplest games with unquenchable interest; it is they who enter the history of mathematics and glorify their creators.

Puzzles are the closest to mathematics, but many puzzles have been formed from games that once existed. Most of these foundational games were invented by ancient Greek mathematicians. Puzzles are the closest to mathematics, but many puzzles have been formed from games that once existed. Most of these foundational games were invented by ancient Greek mathematicians.

GAMES The simplest mathematical games are often used as problems in which you need to find a winning strategy. Sometimes problems are quite simple when they are solved by known methods. The simplest mathematical games are often used as problems in which you need to find a winning strategy. Sometimes problems are quite simple when they are solved by known methods.

Tic-tac-toe Tic-tac-toe is a logic game between two opponents on a square field of 3 by 3 cells or larger (up to an "infinite field"). One of the players plays with "crosses", the second with "noes". Tic-tac-toe is a logic game between two opponents on a square field of 3 by 3 cells or larger (up to an "infinite field"). One of the players plays with "crosses", the second with "noes".

Currently, many algorithms for this game have been invented, based primarily on enumeration of various options. There are simple tricks of this game that players use, but attentiveness is most often decisive. Currently, many algorithms for this game have been invented, based primarily on enumeration of various options. There are simple tricks 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 one or another 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 one or another number of chips from one or more piles - the one who takes the last chip wins.

Nim belongs to such games. There is an arbitrary number of piles of chips, and the players take turns choosing one pile and taking out any number of chips from it (but at least one is required). Nim belongs to such games. There is an arbitrary number of piles of chips, and the players take turns choosing one pile and taking out any number of chips from it (but at least one is required).

Basche is a math game in which two players take turns picking a limited number of items from a pile of N items. The loser is the one who has nothing to take. Basche is a math game in which two players take turns picking a limited number of items from a pile of N items. The loser is the one who has nothing to take. The player's math game The player's math game The classic game involves N=15 and taking at least 1 and at most 3 items at a time. The strategy in this case is to complement the opponent's moves up to 4. Also, a generalized game in which you can take from 1 to M items can be called Basche's game. The classic game involves N=15 and taking at least 1 and at most 3 items at a time. The strategy in this case is to complement the opponent's moves up to 4. Also, a generalized game in which you can take from 1 to M items can be called Basche's game. Named after the French poet and mathematician Bache de Meziriac. Named after the French poet and mathematician Bachet de Meziriac.Bashe de Meziriac

Starry 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 moving, each time removing either one or two pieces connected by a straight line. The one who removes the last chip is the one who 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 moving, each time removing either one or two pieces connected by a straight line. The one who removes the last chip is the one who wins.

PUZZLE Math puzzles there are a variety of: rotational (Rubik's cube), Magic rings, Games with a hole (tags), lattice and many others. Mathematical puzzles are very different: rotational (Rubik's cube), Magic rings, Games with a hole (15), 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 since 1978, when mathematicians first got 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 since 1978, when mathematicians first got acquainted with it at the International Mathematical Congress in Helsinki.

The Rubik's Cube belongs to rotational puzzles, the distinguishing feature of which is that it is easy to confuse them, but not everyone knows how to quickly solve them. The Rubik's Cube belongs to rotational puzzles, the distinguishing feature of which is that it is easy to confuse them, but not everyone knows how to quickly solve them.

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 setting one piece, adjusting the second one 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, setting one piece first, fitting the second to it, etc.

Games with a hole Before the invention of the Rubik's Cube, for many people, acquaintance with puzzles began with tags - this is how the famous game 15 is often called. Before the invention of the Rubik's Cube, acquaintance with puzzles began with tags for many people - this is how the famous game 15 is often called.

Fifteen Fifteen is the beginning of the history of games with a hole - puzzles in which chips move around the playing field due to the fact that one of the places on the field is free. Fifteen have many relatives, which just form a whole section of these puzzles. The history of games with a hole begins with tags - puzzles in which chips move around the playing field due to the fact that one of the places on the field is free. Fifteen have many relatives, which just 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 "tag". 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 "tag".

Samuel Loyd Samuel (Sam) Loyd (Eng. Samuel Loyd, January 31, 1841), Philadelphia April 10, 1911, New York) is an American chess player, chess composer and author of puzzles. January 31, 1841 Philadelphia April 10, 1911 New York American chess player chess puzzle composer
The game "Shifting cards" At the moment after the cards were laid out in two piles for the first time, then again folded into one pile, as indicated in the condition of the problem, the card with the intended number is among the eight bottom ones. These 8 cards will be distributed evenly between the two piles the next time they are laid out. This means that after the cards are collected in one pile for the second time, the card with the intended number will be among the four bottom ones. The third time it will be among the two bottom cards, and finally, after the fourth unfolding, the card will be the bottom one in one of the piles. At the moment after the cards were divided into two piles for the first time, then again folded into one pile, as indicated in the condition of the problem, the card with the intended number is among the eight bottom ones. These 8 cards will be distributed evenly between the two piles the next time they are laid out. This means that after the cards are collected in one pile for the second time, the card with the intended number will be among the four bottom ones. The third time it will be among the two bottom cards, and finally, after the fourth unfolding, the card will be the bottom one in one of the piles.

Geometric puzzle "Pass a coin" The diameter of a 5-ti-penny coin is 19 mm, a 5-ruble coin is 25 mm. I bend the paper so that the round hole extends into a narrow slot. 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. It's over 25mm. A 5-ruble coin passes through it. The diameter of a 5-kopeck coin is 19 mm, a 5-ruble coin is 25 mm. I bend the paper so that the round hole extends into a narrow slot. 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. It's over 25mm. A 5-ruble coin passes through it.

Conclusion Conclusion Calculating a variant is a fascinating and useful activity. The great mathematician Leibniz was right: “Most of all, people show ingenuity in games, which means that mathematical games deserve attention not only in themselves, but also because they develop resourcefulness.” Calculating a variant is a fascinating and useful activity. The great mathematician Leibniz was right: “Most of all, people show ingenuity in games, which means that mathematical games deserve attention not only in themselves, but also because they develop resourcefulness.”

Website addresses htm Lethwaite game htm Lethwaite game htm tic-tac-toe tic-tac-toe htm starry him htm starry him

Completed by: Vahonina Valeria, Serin Lana, 5B class. MBOU secondary school with .Toora-Khem Head: Korobeynikova Tatyana Yurievna. Project on mathematics on the topic: Mathematical puzzles and games.

Goals and objectives: Find out what math games and puzzles are. Independently explore different types of 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: rebus 1.

Try to solve it yourself: rebus 2.

Try to solve it yourself: rebus 3.

1) Remove 5 sticks so that after 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 silently solves it. Who decides, raises his hand. One of the deciders is invited to say the answer out loud. Those standing at the blackboard turn to face her and try to find an example with the named answer as quickly as possible. The one who does it first gets one point. the game

Let's play! Calculate: 45 + 35 180 - 80 32: 2 18 + 31 150: 3

T angram. Tangram - an old oriental puzzle of figures obtained by cutting a square into 7 parts in a special way: 2 large triangles, one medium, 2 small triangles, a square and a parallelogram.

As a result of folding these parts with each other, flat figures are obtained, the contours of which resemble all kinds of objects, ranging from humans, animals and ending with tools and household items. It is necessary 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 which figure is. It is difficult, it takes time to find a solution. T angram.

Solve your own tangrams

Conclusion. We have studied: the mathematical game Tangram, games with matches, rebuses, a game with numbers. We concluded that mathematical games develop logic and attention. Tangram is a puzzle, a constructor, a simulator for the brain. He teaches to think logically. Any puzzle will help to calm down, remove negative emotions. After such a game, the child will be much calmer and more balanced.

Funny math. Amenitsky N.N. Publishing house "Enlightenment", 2008. Puzzles, charades, rebuses in the classroom and after school hours. Agapova I.A., Davydova M.A. Publishing house "Uchitel", 2009 Internet resources. Used Books.

We hope everyone enjoyed it very much and you fell in love with mathematics even more. In mathematics, there are many more fun and interesting games on the ground. This is where 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!

Mathematics Week 2014

Math puzzles

Mathematics teacher MBOU secondary school No. 18 p. Kharagun 2014

1. The result of the addition. 2. How many numbers do you know? 3. The smallest three-digit number. 4. 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. The result of the division. 9. How many years are in one century? 10. The smallest prime number. 11. How many zeros are there in the number "million"? 12. The value of the right angle. 13. When is the product equal to zero? 14. What is more 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 each. How many children? 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 one eat? 4. A pair of horses ran 40 km. How many kilometers did each horse run? 5. What in Russia used to be called "broken numbers"? 6. What does each word, plant and equation have? 7. In the fairy tale "Humpbacked Horse" we meet the following words: "I'm coming - darkness to the people! Well, no exit, no entrance! How many people were there?

Divide a shape into two equal parts

How many triangles are 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 straight line and three segments. 3. Part of a line lying between two points. 4. Unit of length. 5. A 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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Slides captions:

mathematical puzzles GKOU boarding school p. Parkovy Zemtsova Irina Anatolyevna

To drive ships, To take off into the sky, You need to know a lot, You need to be able to do a lot. To become a doctor, a sailor, Or a 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, children, consists of a trunk and a miserable 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

How old do you have to be to ride a bike on the highway? 12 years old 10 years old 14 years old 8 years old 1 2 3 4

Round II Unusual puzzles

There were chickens and dogs walking in the yard. The girl counted their paws. Got ten. How many chickens and how many dogs?

A rooster weighs 3kg on one leg. And how much will he weigh if he stands on 2 legs?

The dump truck drove to the village. Three cars were driving towards him. How many cars were going to the village?

If one corner of a table is sawn off, how many corners are left?

III round geometric shapes

Which figure has no definition? 1 2 3 4 angle ray segment point

A part of a line that is bounded by two points? 1 2 3 4 angle ray segment point

What geometric figure is needed to punish children? 1 2 3 4 angle ray segment point

Which figure in Latin means "table"? 1 2 3 4

What figure in Greek means "pine cone"? 1 2 3 4

Blitz tour

1. Fourth month. 2. The result of the subtraction. 3. The sum of the lengths of the sides of the rectangle. 4. How many fingers are on 10 hands? 5. The largest two-digit number. 6. What is the name of the device for measuring segments? 7. How many millimeters are in 1 meter? 8. A quadrangle with all sides equal 9. What numbers do the 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 - a business game "Working with a package of Power Point presentations." During the lesson, the repetition of the material "spreadsheets" using CIMs, the repetition of technology ...

There are 35 students in the class. 20 of them are engaged in a mathematical circle, 11 in a biological circle, and 10 do nothing. How many kids do both math and biology? (6 people) In how many ways can 4 checkers be arranged 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 figurines replace different numbers. What number does the asterisk replace? (A) 9; (B) 8; (C) 7; (D) 6; (E) 5; Teams A, B, C, D and E participated in the handball tournament. Each team played each team exactly once. The game is awarded 2 points for a win, 1 for a draw, and 0 for a loss. At the same time, team B, which took second place, scored more points than C, D and E combined. It follows that (A) A won first place; (B) A beat B; (C) B beat C; (D) A and B tied; (E) such a result is impossible.