Mathematical KVN
“We are not yet Archimedes…..”
(for 9th grade students)
Tasks:
Frontally repeat educational material mathematics;
develop logical thinking, speech, attention and memory;
Expand the horizons of students;
Cultivate an interest in mathematics.
Motto: "The road will be mastered by the one who walks, and mathematics by the thinker."
2 teams take part in the game: the "Radius" team (joyful, active, friendly, inventive, smart, courageous) and the "Figure" team (physical culture initiative, competent, skillful, cheerful, reckless).
Program:
Team greetings.
Warm up.
Mathematical kaleidoscope.
Captains competition.
Competition "Who is more?"
Homework(musical competition).
Summing up the results of games, competitions KVN.
Between competitions musical breaks and contests with fans.
The whole game is evaluated by a jury, which includes teachers of mathematics and one representative each from the students of the class that participates in the game.
Event progress.
introduction teachers.
Music sounds - an introduction to the television game KVN.
Dear guests and participants of the game! Of course, you all know well this musical introduction to the KVN television game: “We are starting KVN - for whom, for what?...”
For whom are we starting KVN today? Of course, for you, my students. So that today you get a little distracted and have fun, get to know each other's talents and abilities better (and you have a lot of them), think about questions and answers, show solidarity with the teams, increase your intelligence, get infected with a sense of healthy excitement and competition, in general - time to good use.
And why are we starting KVN? So that none of you ask such a familiar question to all teachers of mathematics: “Why do I need mathematics? I won't need it in my life." The word "mathematics" came to us from ancient language: comes from the ancient Greek words "mathematice" and "mathema" - "knowledge, science." Mathematics is the science of quantitative relations and spatial forms of the real world. And if there are exercises for the development of the body, then mathematics is designed to develop logical thinking, attention, and train the brain. No wonder it is called “mind gymnastics”.
I want you to be convinced that mathematics is a wonderful, not dry science and that doing it is just as exciting as playing KVN.
So, we start KVN.
Conducting competitions and games.
- Greeting teams.
1 leader. So that we do not disturb the KVN order,
We are glad to hear your greetings.
Team "Radius" (to the melody of folk ditties)
to teach math,
What to sail on a stormy sea:
If you don't know how to row,
Then you can't get out. Oh!
Here comes the figure
We wish her well.
And we welcome them
As their rivals. Oh!
Well, to our most respected jury
We want a fair decision.
Put "five" you together, together
To those who are honored.
And we wish everyone
View our KVN,
Take part in it
And support the teams.
Team "Figure" (to the motive of the song "Moscow windows").
We came to you today, friends,
We cannot live without knowledge.
And let the crises around
Let's learn, friend
And our circle of knowledge will become wider!
We welcome our guests
We welcome teachers
And, of course, the jury
It's fair that they rate
We could now!
And, of course, "Radius", hello!
We will fight - no doubt.
And our school is a dear guiding star
We will shine for many, many years!
- Warm up
2 leader. So that everything in KVN goes without a hitch,
We will start it...
Well, of course, from the warm-up!
Each team is asked to choose an envelope containing questions. The teacher reads the questions from the chosen envelope.
Questions for one team:
1 percent of 1 thousand rubles? (10 rubles)
Is it possible to get zero when multiplying numbers? (Yes)
What is 1 pood (16 kg)
Mathematician, whose name is given to the theorem expressing the relationship between coefficients quadratic equation? (F. Viet)
Smallest natural number (1)
The perimeter of a square is 20 cm. What is its area? (25 cm 2)
How to find the unknown dividend? (quotient times divisor)
What is the second coordinate of a point called? (ordinate)
Find the third part of 60 (20)
What is the name of a function of the form y = kx + v? (linear)
Are the diagonals of a rectangle mutually perpendicular? (No)
A parallelogram with all right angles? (rectangle)
A line segment connecting opposite vertices of a quadrilateral? (diagonal)
A line segment that connects any two points on a circle? (chord)
Questions to the other team:
What is the hundredth part of a number called? (percent)
The first female mathematician (Sofya Kovalevskaya)
What is the largest negative number (-1)
The area of the square is 49 m2. what is the perimeter? (28 m)
How to find the unknown subtrahend? (from the reduced - the difference)
What is the name of the science that studies the properties of figures on a plane? (planimetry)
What is the name of the statement that requires proof? (theorem)
What is the name of the first coordinate of a point? (abscissa)
Divide a hundred by half it (2)
What is the name of the function of the form y \u003d ax 2 + in + c (quadratic)
In which quadrilateral are the diagonals mutually perpendicular? (rhombus, square)
A quadrilateral with only two opposite sides parallel? (trapeze)
The sum of the lengths of all sides of a polygon (perimeter)
Is it possible to get zero when dividing numbers? (Yes)
Let's hear from the jury.
- Mathematical kaleidoscope.
1 leader. Well, now, teams, stop -
Math kaleidoscope!
Who knows no difficulty in terms,
Write everything now without delay.
Teacher. Formulas are written on rolled paper. It is necessary to indicate what these formulas are (in writing)
Formulas for one team:
x 2 -y 2 \u003d (x-y) (x + y)
c 2 \u003d a 2 + b 2
S = a 2
P \u003d 2 (a + b)
a m a p \u003d a m + p
Formulas for the other team:
(x-y) 2 \u003d x 2 - 2xy + y 2
a 2 \u003d from 2 - to 2
P = 4a
S = av
(a m) n = a mp
While the jury is evaluating this competition, we invite you to listen to ditties.
We funny boys,
And we solve problems
And we will sing ditties to you.
2) In our class, all the guys
Good as a choice.
They don't know math
"Good" shortage.
3) Math will help
You become excellent students
You guys learn
Solve equations.
4) We are tasks for movement
We always want to solve
Our classroom behavior
We all know that we are not silent.
5) We are funny guys
We say goodbye to you
And again at KVN
We'll meet soon.
The jury announces the results of the kaleidoscope and total points.
- Competition of captains.
2 leader. As a song cannot live without a button accordion,
The team cannot live without a captain!
Captains choose an envelope with a task.
Tasks for the captain of one team:
Solve the crossword puzzle (5 points)
Dependence of one quantity on another. (function)
Parallelogram with equal sides (rhombus)
trigonometric function(cosine)
cuboid with equal measurements(cube)
... abscissa (axis)
guess the riddle (5 points)
There is a big distortion in the face.
And "f" to "p" replace if,
Math charade (5 points)
Habitual word of a shaggy hen
Put it first.
Important for any orchestra.
Fifteenth in the alphabet.
In fourth place. Read. (cosine)
Write mathematical terms starting with the letter "c" (for each word - 1 point).
Tasks for the captain of the other team:
solve the crossword puzzle (5 points)
Absolute value of number (modulo)
Graph of a quadratic function (parabola)
Theorem that does not require proof (axiom)
...function definitions (scope)
We solve ... using the equation (problem)
2) guess the riddle (5 points)
I bring pain with me
There is a big distortion in the face.
And "f" to "p" replace if,
Then I will turn into a sign of addition. (flux - plus)
3) Mathematical charade (5 points)
Habitual word of a shaggy hen
Put it first.
In the second place, look, - a note,
Important for any orchestra.
On the third one single letter,
Fifteenth in the alphabet.
One of the hairs on the kitten's face
In fourth place. Read. (cosine)
4) Write mathematical terms starting with the letter "d" (for each word - 1 point)
Teacher. While the captains are completing tasks, the teams are also busy with work.
W 
assignments for teams (in envelopes):
Solve the crossword
Dividing the numerator and denominator by the same number (reduction)
Quotient of two numbers (ratio)
A fraction whose numerator and denominator are relatively prime numbers (irreducible)
GCD (24.36) = ? (twelve)
Hundredth of a number (percentage)
Vertically:
The name of a fraction whose numerator is greater than or equal to the denominator (incorrect).
To find a common denominator, you need to find GCD or LCM? (NOC)
The action by which a fraction of a number is found (multiplication) To reduce a fraction, do you need to find GCD or LCM? (GCD).
2 leader. At this time, fans are invited to answer questions. 1. Name the names:
A) Three little pigs from the fairy tale "Three Little Pigs" (Naf-Naf, Nif-Nif, Nuf-Nuf).
B) Three fat men from the fairy tale by Y. Olesha "Three fat men" (no names).
IN) three musketeers from the novel by A. Dumas "The Three Musketeers" (Athos, Porthos, Aramis)
D) three epic heroes in the painting by the artist Vasnetsov "Three heroes" (Alyosha Popovich, Dobrynya Nikitich, Ilya Muromets).
E) Three bears from Leo Tolstoy's fairy tale "Three Bears" (Anastasia Petrovna, Mikhail Potapych, Mishutka)
2. From the word "geometry" make up as many words as possible. (meter, rhythm, metro, shooting range, tiger, kettlebell, sea)
3. Guess the melody and say a phrase that contains a mathematical term.
- "They teach at school" (to 4 + 2)
- “Together it’s fun to walk across the open spaces” (one-board, two - board)
- "Crocodile Gena" (and will give 500 popsicles)
- “We lived with a grandmother” (2 funny geese)
Team captains and teams submit completed assignments. The jury checks the correctness of the answers and evaluates the teams.
- Competition "Who is more?"
2 leader. It's a tough question,
But believe one thing:
Everything is complicated and simple
Count your mind!
Teams choose envelopes with the task. The teacher reads the questions from the chosen envelope. For each correct answer - 1 point. (blitz tournament)
Questions for one team:
In which triangle do all altitudes intersect at a vertex? (rectangular)
number of tens in a thousand (100)
mathematical proposition that does not require proof (axiom)
the sum of the lengths of the sides of a polygon (perimeter)
What number has as many digits as there are letters in its spelling? (one hundred)
fraction less than one (correct)
GCD of coprime numbers (1)
Sum of opposite numbers (0)
What angle will the minute hand describe in 5 minutes (30)
What is the name of the equality, true for any valid values of the variable (identity)
Zero modulus (0)
How many corners will the rhombus have if one is cut off (5)
A ray dividing an angle in half (bisector)
How many sides does a hexagonal pencil have (8)
Non-intersecting lines in the plane (parallel)
Smallest seven digit number (1000000)
How many vertices does a cube have (8)
The log was cut into 8 pieces. How many cuts were made (7)
Triangle with sides 3,4,5 (Egyptian)
Angle at which a soldier turns on command "circle" (180)
Questions for the other team:
how many kg in half a ton (500)
shortest distance from a point to a line (perpendicular)
a segment connecting 2 points of a circle and passing through its center (diameter)
The value of the variable when solving the equation (root)
Dividing the numerator and denominator by the same non-zero number (reduction)
Two numbers whose product is equal to 1 (reciprocals)
Triangle with right angle (rectangular)
Smallest prime number (2)
Number to be divided by (divisor)
The result of adding numbers (sum)
IN common fraction the number written above the bar (numerator)
The three were playing chess. A total of three games were played. How many games did each play? (2)
Part of a straight line bounded by two points (segment)
What number is translated from Latin means "nothing" (0)
Tool for measuring angles on a plane (protractor)
Two numbers that differ from each other only in signs (opposite)
Equality of two ratios (proportion)
The product of three cuboid measurements (volume)
Modulus of number 5 (5)
thousandth of a kilogram (gram)
Teacher. While the jury is counting the points, we have several interesting messages with hints.
2 leader. Who doesn't notice
He doesn't study anything.
Who does not study anything -
He is always whining and bored.
For all.
Question. This theorem is studied in high school and is called the "bride theorem". Formulate it.
Hints:
The theorem is proved in the course of geometry and is considered one of the most important theorems of the course.
The theorem is used at every step in the study of geometric questions.
The scientist who formulated this theorem was born on the island of Samos. In his youth, he traveled around Egypt, lived in Babylon, where he had the opportunity for 12 years to study astronomy and astrology from the Chaldean priests.
This scientist, in addition to this theorem, is credited with a number of remarkable discoveries, including the theorem on the sum of the interior angles of a triangle.
Particular cases of this theorem were known to some other nations even before its discovery.
In construction practice, the Egyptians used the so-called "Egyptian triangle" - a triangle with sides 3, 4, 5. (The Egyptians knew that the indicated triangle is rectangular and the ratio 3 2 + 4 2 \u003d 5 2 is fulfilled for it, i.e. just what the Pythagorean theorem states).
- Homework (music competition)
Teacher. And we have the last competition "Homework" (musical). Each team needs to sing a song and show a skit.
First part of homework.
1 leader.
The fairy tale is not simple, but mathematical
You will now be shown without embellishment.
Maybe there will be something fantastic.
Well, we begin to listen to their story.
One team shows a dramatization of the fairy tale "The Legend of Chess".
The characters are the leader, shah, vizier, sage, accountant.
There is twilight on the stage, the shah lies on the carpet, on the pillows. He's bored. The Shah's guard fans him with fans. From behind the curtain, the voice of the presenter is heard.
Leading. A wise man invented the game we now call "chess". He explained the rules of the game to the shah, and he liked the game very much. Shah decided to generously reward the sage.
Shah. (screams loudly). Vizier! Vizier!
Vizier (runs in and falls to his knees). I hear and obey, my lord.
Shah. Reward the Sage, give him whatever he wants. I am rich enough to be generous.
Vizier (shouting) Call the Wise Man! (Sage appears, looking like an astrologer) What do you want, Sage, for your game?
Sage. Oh Great Shah! I will not ask for gold and jewels. I want one grain to be placed on the first square of the chessboard, two grains on the second, four grains on the third, and so on up to 64 squares, constantly doubling the number of grains of the previous square.
Shah (laughs). Do I look like a beggar? What, I can't give you what you deserve? Ask for something else.
Sage. Oh mighty lord! Don't be angry, but I don't need anything else.
Shah (displeasedly waving his hand). Vizier, give him what he asks.
Leading. Several days have passed. Shah played chess all day and thought about the Wise Man.
Shah. Vizier! Vizier!
Vizier (runs in and falls to his knees). I am here my lord!
Shah. Awarded the Sage?
Vizier. Oh no, Great Shah! All state accountants count grain.
Shah. How could you disobey? Call the accountant here! (Accountant crawls on his knees, bowing incessantly) Why hasn't the sage been rewarded yet?
Accountant. Oh, great and bright sovereign! In your entire state there are not so many grains, on the whole Earth there does not grow such a quantity of grain that the Sage wants to receive.
Shah. How much should he give?
Accountant. Here is the number: 18446744073709551615. If 10 grains weigh one gram, then you must give him 184 billion 467 million 440 thousand 737 tons 95 kilograms and 516 grams of wheat, my lord! If on the whole Earth 2 billion tons are grown per year, then in order to give it all the grain, it needs to be grown for 92 years. But the Earth has never grown 2 billion tons of wheat, oh lord!
Shah. A wise man is always a wise man!
Leading. The Hindu king Sheram (Indian prince Siren) learned to play chess and admired the wit and variety of positions in this game.
18 quintillions 446 quadrillions 744 trillion 073 billion 709 million 551 thousand 615. if the king could sow wheat on the entire surface of the Earth, counting the seas, and oceans, and mountains, and the desert, and the Arctic and Antarctic, and get a satisfactory harvest, then, perhaps in 5 years he could pay off.
Another team shows a staging of the fairy tale "The Man and the Merchant".
The characters are the host, the merchant, the wife, the man.
There is a table on the stage, a samovar, a bench on the table, a merchant's wife and her daughter are sitting at the window, a merchant enters.
Merchant. Listen, wife, I met a stupid man in the market and made a good deal with him.
Wife. What?
Merchant. Every day he will bring me 100,000 rubles, and on the first day I will give him a penny. Do you hear, a penny for 100,000 rubles! In the second - 4 kopecks and so on whole month will wear every day for 100,000 rubles.
Wife. How does this fool get so much money?
Merchant. It's none of our business. One thing I regret is that I signed a contract for only one month. I'm afraid that this eccentric will realize that he is being deceived, and will not bring his money.
There is a knock. The wife looks out the window.
Wife. There someone came.
Merchant (looks out the window) It's him!
A man enters.
Man. Get your money, merchant, and give me a kopeck!
Taking his penny, he leaves.
Merchant. How I was afraid that he would not come. What if he doesn't come tomorrow? Or will he come and take his money?
Wife. Calm down! If he didn’t understand today that he was being deceived, I don’t think he will understand it tomorrow. They say: "If you're a fool, then for a long time."
Merchant. So it is, but it's still scary.
Leading. Every day a man brought 100,000 rubles and took his pennies. At first, the merchant was happy and did not think about how much he was giving to the peasant. On the 24th day he gave 83,000, and on the 25th - 166,000, and on the 27th day - 671,000 rubles.
Merchant. Woe to me, woe! The man was not so stupid. After all, he gave me only 3 million, and received 10 million rubles from me! What a fool I am! Was it possible to make deals in the market!
Leading. See how unexpected results can be when you don't know math. Probably, neither the shah nor the merchant would have found themselves in a hopeless situation if they knew at least a little bit of mathematics.
The second part of the homework.
1 leader.
And stands in a wonderful land
New city with a palace
And in the golden-domed palace
Signs live there together,
The signs guard the towers,
They sing a song together.
The first team performs to the motive of the song "My Bunny".
You are my plus, I am your minus,
Cosine you, - I am your sine,
You are an axiom, I am a theorem,
You are the consequence, and I am the lemma.
Ma-te-ma-ti-ka my ...
Chorus: I don't sleep well at night
I love math so much
I have loved math for a long, long time.
I don't sleep during the day,
I don't sleep at night
I'm learning, learning, learning, learning, learning.
Knowledge is you, I am a cheat sheet,
If you are zero, then I am a stick.
You are the ordinate, then I am the abscissa,
You are a corner, I am a bisector.
Ma-te-ma-ti-ka my ...
Private you, I am a divider,
You are the denominator, I am the numerator.
You are my circle, I am your sector,
You are my module, I am your vector.
Ma-te-ma-ti-ka my ...
The sum is mine, and I am the difference,
Dolny you, and I - multiplicity,
You are the hypotenuse, I am your leg,
Enough terms for you and me.
Ma-te-ma-ti-ka my ...
2 leader.
Beyond the high mountains
Beyond the blue seas
In the thirtieth state
A beautiful country lives
Mathematics.
The second team performs a song to the tune of the song "Communal Apartment".
Oh, my native country
Land of mysteries and wonders!
Where else is happiness
Where else is this progress?
Under one huge roof
More spacious and lighter.
We don't need a separate house,
Together will be more fun.
It's mathematicians, mathematicians flat,
This is mathematicians, mathematicians country.
Rustling sheets in the morning,
The people are gathering
Pythagoras washes his pants
Euler takes the integral,
Gauss extracts the roots,
Newton makes a binomial.
Someone sets axes
Archimedes sits with a number.
By the evening they all can not sleep,
Brig looks at logarithms,
Bradys is fiddling with the table,
Euclid measures the world.
Bezu himself is there without a trace
Divides a complex polynomial.
We don't need a separate house,
Together will be more fun.
1 leader.
And from now on every day
We will definitely be together
glorify math
And honor her.
Both teams sing the anthem for mathematics (to the motive of the song "What do they teach at school?")
Hymn to Mathematics
Solve equations, calculate radicals -
Algebra has an interesting problem!
Extract integrals,
Fraction divide and multiply
Try hard and good luck will come to you! (3 lines 2 times)
Geometry is needed, but it's so complicated!
Now the figure, then the body - you can’t figure it out.
Axioms are needed
Theorems are so important
Learn them - and you will achieve results!
All sciences are good
For the development of the soul.
You all know them yourself, of course,
For the development of the mind, mathematics is needed,
It was, it will be, it is forever.
- Summing up the results of games, KVN competitions.
Final word teachers.
Mathematics is a tool with which a person learns and conquers himself the world. To make a discovery in mathematics, one must love it as each of the great mathematicians loved it, as dozens and hundreds of other people loved and love it. Do at least a small part of what each of them did, and the world will forever remain grateful to you. Love math!
Rewarding teams for victory and participation.
leading. At this time, we offer fans to answer questions) To reduce the fraction, do you need to find GCD or NOC?
Greeting teams Whose swords are crossed? Who started this dispute? And able to fight back? Know this, not the musketeers of the well-known Dumas, but craftsmen and actors, people sharp mind. Thirst for new challenges Brought to KVN All fans of quests And great changes. There will be a formidable battle today, But without swords and without rapiers, Both cheerful and serious, He will only sow peace.
1. In the history of science, it is customary to call HIM the first mathematician from the city of Miletus - a Greek merchant, traveler and philosopher (VII century BC). Of course, there are earlier Egyptian and Babylonian sources containing a variety of arithmetic and geometric information, but they do not even have a hint of evidence. The first mathematical theorems are attributed to HE (Diameter divides the circle in half, theorems on the equality of vertical angles, on the equality of angles at the base isosceles triangle etc.). He made a number of discoveries in the field of astronomy, set the time of the equinoxes and solstices, determined the length of the year. HE was numbered among the group of "seven wise men". 2. OH (III century BC) - an ancient Greek mathematician, author of the work "Beginnings" in 13 books, which outlines the basics of geometry, number theory, a method for determining areas and volumes. He selflessly loved science and never allowed insincerity. One day the king asked him if there were more shortcut to know his work. To which he proudly replied that "there is no royal road in mathematics." In history Western world his book was published after the Bible largest number time and more studied.
A bit of history… 3. HE (VI century BC) – ancient Greek philosopher and mathematician, transformed mathematics from a collection of formulas and recipes into an abstract deductive science; he is credited with studying the properties of integers and proportions, proving the aspect ratio theorem right triangle. According to legend, in honor of the discovery of his famous theorem about the legs and hypotenuse, the scientist sacrificed 100 bulls. But later it turned out that this theorem was known to the ancient Sumerians. To date, about 150 proofs of this theorem are known. 4. OH () - Swiss mathematician, physicist, astronomer, worked in Russia and Germany. Contributed to number theory, geometry, mathematical analysis, deduced a theorem on the connection of edges, vertices and faces of a polyhedron. He made a great contribution to topology, a branch of geometry that studies the properties of a figure that does not change under continuous deformations.
This is interesting! Questions for one team: 1 percent of 1 thousand rubles? Is it possible to get zero when multiplying numbers? What is 1 pood equal to? The first woman mathematician. The smallest natural number. The perimeter of a square is 20 cm. What is its area? How to find the unknown dividend? What is the second coordinate of a point called? Find the third part of 60. What is the name of the function of the form y = kx + v?
Are the diagonals of a rectangle mutually perpendicular? A quadrilateral with all right angles? A line segment connecting opposite vertices of a quadrilateral? A line segment that connects any two points on a circle? The angle is greater than a right angle, but less than a deployed one. A line segment that connects the vertex of a triangle with the midpoint of the opposite side. How many zeros are in a million. A device for constructing a circle. Largest two-digit number.
This is interesting! Questions to the other team: What is the hundredth part of a number called? The mathematician whose name is given to the theorem expressing the relationship between the coefficients of a quadratic equation? What is the largest negative number The area of a square is 49 m 2. what is the perimeter? How to find the unknown subtrahend? What is the name of the science that studies the properties of figures on a plane? What is the name of the statement that requires proof? What is the name of the first coordinate of a point? Divide one hundred by half of it What is the name of the function of the form y \u003d ax 2 + bx + c
In which quadrilateral are the diagonals mutually perpendicular? A quadrilateral with only two opposite sides parallel? The sum of the lengths of all sides of a polygon Can you get zero when dividing numbers? Value right angle. How many years in one century? Which is larger ½ or 1/3? A device for measuring a segment. A part of a line that is bounded by two points?
Intellectual mini-tournament. 1. According to Leo Tolstoy, every person is like a fraction. The numerator of a fraction is what the person is. And what does the denominator of this fraction represent, according to the writer? A). The way that person looks. B). What he thinks of himself. IN). What others think of him.
Intellectual mini-tournament. 2. Victor Hugo once remarked that the human mind has three keys that allow people to know, think, dream. What do you think the keys are? A). Beauty, reason, truth. B). Color, sound, thought. IN). Letter, number, note.
Intellectual mini-tournament. 4. Pythagoras is one of the most interesting personalities in history. He founded a religion, which found its embodiment in a special religious order. Choose from the options presented the prescription that really was the prescription of the Pythagorean order. A). Don't spit in the well. B). Don't put your foot down. IN). Don't take a bite out of the whole bun.
Intellectual mini-tournament. 5. The great scientist Albert Einstein said: “I have to divide my time between politics and some subject. However, some subject, in my opinion, is much more important. The policy is only for this moment, and this item will exist forever. Answer the question between what Einstein had to divide time? A). Between politics and books. B). Between politics and physics. IN). Between politics and equations.
Math Tournament
“The road will be mastered by the one who walks, and the thinker of mathematics”
7-8 grades
Goals: instilling interest in mathematics, development creativity, rallying children's team, fostering a culture of communication.
Motto : "The road will be mastered by the walking one, and mathematics by the thinking one"
Program:
1. Greeting teams.
2. Warm up.
3. Homework.
4. Competition of captains.
5. "Guess"
6. Summing up
Introduction:
Why solemnly around?
Do you hear how quickly the speech fell silent?
It's about the queen of all sciences
Let's talk to you today.
It is no coincidence that she is so honored,
It is given to her to give advice,
How to make a good calculation
To build a building, a rocket.
There is a rumor about mathematics
That she puts her mind in order,
Because good words
People often talk about her.
So we start our tournament.
Jury presentation.
Determination of the order of performance of teams. (2 cards: "1" and "2")
- Team greeting: (5 points)
So that we do not disturb the order in the tournament,
We are glad to hear your greetings.
Teams greet each other:
- Team name
- Motto
- Emblem
- Newspaper
2. Warm up
So that everything in the tournament goes without a hitch, We will start it ...
Well, from the warm-up, of course!
Team captains take turns pulling out questions, leading them to read them. The thinking time is 30 seconds, if the team answered incorrectly, then the 2nd team can earn an extra point by giving the correct answer.For a correct answer - 1 point.
Questions for the teams:
1. List 5 days of the week in a row without mentioning the numbers and names of the days.
2. What 3 numbers, when multiplied and added, give the same result?
3. Two fathers and two sons ate 3 eggs. How much did each one eat?
4. Who is: the son of my father, but not my brother?
5. There are 10 fingers on the hands. How many fingers are on 10 hands?
6. How many cuts must be made to cut a log into 3 parts?
7. How to divide 188 into two equal parts so that each of them turns out to be one hundred?
8. What sign should be placed between two twos to get a number greater than two, but less than three?
9. 4 birches grew. Each birch has 4 large branches. Each large one has 4 small branches. Each small branch has 4 apples. How many apples grew on branches?
10. Can it rain 2 days in a row?
11. What is the name of the second coordinate of the point?
12. A triangle has 3 corners, if one is cut off, how many will remain?
13. What is the largest negative number?
14. The area of the triangle is 49 m 2 . What is its perimeter?
The jury announces the scores
3. Homework (5 points)
Scene "Math Lesson 2070"
The jury announces the points scored and the subtotal
4. Captains competition: (correct answer 1 point)
- Each captain has 4 puzzles. Time - 5 min.
- Game with the audience "Proverbs"
The jury announces the scores
5. "Guess"
From each team, 2 people take out a card with a term that must be shown to their own team with gestures, actions, but without words. For the guessed termon the 1st attempt - 2 points, on the second - 1 point.If the 1st team does not guess correctly, then the 2nd team can get 1 point for the guessed term.
- Compass
- Fraction
- Square
- Corner
- Coordinate plane
- Time
- Speed
Before the jury announces the results of our today's tournament, we would like to wish you:
Learn to face adversity without crying
A bitter moment is not a sight for everyone
Know! the soul grows with failures
And weakens if success is soon.
Wisdom is gained in a difficult dispute
destined the path is not easy is yours
Sinusoid of joy and sorrow,
And not upward soaring curve.
6. Summing up
The jury announces the scores and awards the winners.
Chasovskikh Tamara Vasilievna
mathematics teacher of the highest qualification category
Mathematical Tournament: "Jolly Hour"
Goals of the tournament:
development of creative abilities of students; rallying the children's team; awakening the desire to study one of the most interesting sciences, expanding the horizons of students.
Motto: “When we play, we test what we can and what we know!”
Preparing for the tournament.
1. Select the participants of the tournament.
2. Offer to prepare homework.
3. Prepare amateur performance numbers.
4. Prepare mathematical newspapers for class decoration.
Tournament rules:
1. Teams from two classes participate in the tournament: 8A and 8B.
2. Each team has 6 people, from which a captain is chosen.
3. The jury and the presenter are high school students.
4. For each competition, the jury calculates the points and determines the winner.
Program:
1. Greeting teams.
2. Warm up.
4. Competition of captains.
5. Competition "Who is more?"
6. Homework.
7. Summing up and awarding winning teams and the most distinguished participants.
The course of the tournament
I. Opening speech of the teacher.
Dear guests and students! For whom are we holding the Cheerful Hour tournament today?
Of course, for you, my students. So that today you get a little distracted and have fun, get to know each other's talents and abilities better, think about questions and answers, show solidarity with the teams, increase your intelligence, get infected with a sense of healthy excitement and competition, in general - spend time with benefit.
I want you to make sure that mathematics is a wonderful, not dry science and that doing it is just as fun as playing.
So we start the tournament.
II. Conducting competitions and games.
Leading:
Everything is ready for battle
Teams are just waiting for the signal.
One minute patience
I will present to you a formidable court (represents the jury).
Fans are warned
That the meeting will be hot
And so we wish you
Sick without calling a doctor.
1. Greeting teams.
Team 1: BAM.
Our motto: "Let's think more actively"
Greeting to the motive of the song "Eaglet":
Be brave, mathematician, fly over the podium,
Look at the jury from above.
We will win for our team,
Leaving you all behind.
Team 2: PUPS.
Our motto: "Let the mind conquer the force"
Greeting to the motive of the song "Moscow Windows":
We welcome the BAM team,
We welcome, of course, the hall,
And, of course, the jury
It's fair that they
Estimates put us now could!
2. Warm up.
Leading:
So that everything in the tournament goes without a hitch,
We will start it...
Well, of course, from the warm-up!
Each team is asked to choose an envelope containing questions.
Questions to the BAM team:
1) 1% of 1 thousand. rubles? (10 rubles)
2) Unit of speed at sea (knot)
3) Is it possible to get zero when multiplying numbers? (Yes)
4) What is 1 pound equal to? (16kg)
5) The mathematician whose name is given to the theorem expressing the connection between the coefficients of a quadratic equation? (F. Viet)
6) The smallest natural number (1).
7) The perimeter of the square is 20cm. What is its area? (25〖cm〗^2)
8) How to find the unknown dividend?
9) What is the name of the second coordinate of the point? (ordinate)
10) What is more √20 or 2√5? (equal)
11) Find the third part of 60. (20)
12) Find the root of the equation: IxI= -4 (no roots).
13) What is the name of the function of the form: y = kx + b? (linear)
14) A parallelogram with all right angles? (rectangle)
15) A segment connecting any two points of a circle? (chord)
Questions for the BOPS team:
1) What is the hundredth part of a number called? (percent)
2) How to find the unknown divisor?
3) Name the unit of mass precious stones. (Carat)
4) The first female mathematician. (Sofya Kovalevskaya)
5) What is the largest negative number. (-1)
6) The area of the square is 49 m ^ (2). What is its perimeter? (28
7) How to find the unknown subtrahend?
8) What is the name of the science that studies the properties of figures on a plane? (planimetry)
9) What is the name of the statement that requires proof? (theorem)
10) What is the name of the first coordinate of the point? (abscissa)
11) What is greater than 5 or √28? (√28)
12) Divide 100 by half. (200)
13) What is the name of the function of the form: y = ax^2+ bx+c? (quadratic)
14) Find the root of the equation: x2 = - 9 (no roots)
15) A quadrilateral with only two opposite sides parallel? (trapeze)
Host: In the meantime, the jury is deliberating, evaluating the competitions, let's listen to the fable.
One of the members of the 1st team performs.
Disservice
The wolf, the hare and the bear
Hard days have come
Mole stopped studying at school
And they are preparing diaries!
For all the learned mole worked,
Solving problems and examples
And he rescued the negligent,
Telling them without measure.
The mole is sick - everyone is in trouble,
The teacher Drozd is very strict.
In mathematics, perhaps.
Someone will get an extra "tail"!
The bear decided to work out:
Where to learn, and where to cheat.
But, in general, try something
Drozda decided to outsmart.
The thrush called the Hare to answer:
"Tell me, my dear, what do you know
About the triangle and the circle?
Bunny, not to be silent,
Support is looking for in a strong friend.
Bear trying to please
Cowardly Bunny,
Conducted himself in front of Drozd
A mischievous boy.
He began to grimace and whisper
Hard work and boring.
And the Hare - write on the board,
Although it was difficult.
The bear is visible, as always.
I didn't want to learn everything.
His hint sometimes
Turned on the tongue.
So now, having said the wrong thing,
He helped a bad friend
He gave him again
A disservice!
The jury announces points for each team.
3. Mathematical kaleidoscope.
Slide 1. Formulas for the 1st team: Slide 2. Formulas for the 2nd team:
1. x^(2 _) y2=(x-y)(x+y) 1. (x – y)(x +y) = x2 – y2
2.〖(x+y)〗^2=x2 +2xy + y2 2. (x – y)2 = x2 – 2xy +y2
3. c2 = a2 + b2 3. a2 = c2 – b2
4. D = b2– 4ac 4. x=(-b±√(b^2-4ac))/2a
5. am an = am+n 5. am: an = am–n
6. S = a2 6. a⁰ = ?
7. S = 1/2 ab 7. S = ab
8. sin 30⁰ =? 8. cos 60⁰ = ?
Host: while the jury is evaluating this competition,
members of the 2nd team perform with ditties.
1. We are funny guys, 2. All the guys in our class 3. Math will help
We live a lot of fun: Good, how to choose to become excellent students for you,
And we solve problems, they don’t know Mathematics, you guys will learn,
And we will sing ditties to you. "Good" shortage. Solve equations.
4. We have tasks for movement 5. “We need only fives” - 6. Two said to Three,
We always want to decide, they say excellent students. That she is beautiful.
Our behavior in the class Well, the worse the others. Because, probably,
We all know that we are not silent. Oh, loners! The guys really like it.
7. We are laughing girlfriends
We say goodbye to you
Then again at the tournament
We'll meet soon.
The jury announces the results of the Kaleidoscope competition and the total number of points.
4. Competition of captains.
Captains need to choose an envelope with the task.
Tasks for the captain of the 1st team:
1) Solve the crossword:
1. Dependence of one quantity on another. (Function)
2. Parallelogram with equal sides. (Rhombus)
3. Trigonometric function. (Cosine)
4. Rectangular parallelepiped with equal dimensions. (cube)
5. ... abscissa. (Axis)
2) Solve the riddle.
I bring pain with me
There is a big distortion in the face.
And "f" to "p" replace if,
Then I will turn into a sign of addition. (Flux - plus)
3) Write mathematical terms starting with the letter "c" (one point for each word)
Tasks for the captain of the 2nd team:
1) Solve the crossword.
1. The absolute value of the number. (Module)
2. Graph of a quadratic function. (Parabola)
3. A theorem that does not require proof. (Axiom)
4. .... function definitions. (Region)
5. Binomial... (Newton).
2) Similarly (guess the riddle).
3) Write mathematical terms starting with the letter "d" (one point for each word)
While the jury is counting the points, the presenter holds contests with the fans.
1) Answer the questions. Name the names:
- three pigs from the fairy tale "three little pigs". (Naf-Naf; Nif-Nif; Nuf-Nuf);
- three fat men from Yu. Olesha's fairy tale "Three fat men". (No names);
- three musketeers, from the novel by A. Dumas "The Three Musketeers". (Athos, Porthos, Aramis);
- three epic heroes in the painting by the artist Vasnetsov "three heroes". (Alyosha Popovich, Dobrynya Nikitich, Ilya Muromets);
- three bears from L. Tolstoy's fairy tale "Three Bears". (Anastasia Petrovna, Mikhail Potapych, Mishutka)
2) From the word "geometry" make as many words as possible.
3) Guess the melody and say a phrase that contains a mathematical term.
1. "They teach at school." (K 4 + 2)
2. "It's fun to walk across the open spaces together." (One board, two - board)
3. Crocodile Gena. (And give 500 popsicles)
4. "A grasshopper was sitting in the grass." (he only ate grass)
5. "There, far away, across the river." (Hundred young fighters)
6. "Golden wedding". (40 great-grandchildren and 25 grandchildren)
7. "We lived with my grandmother." (Two cheerful geese")
8. "Three white horses."
9. "Song about charging." (1, 2, 3, 4 - the trunk is higher, the ears are wider)
The jury announces the results after the captains' competition and the total number of points for both teams.
5. Competition "Who is more?".
Moderator: It's not an easy question,
But believe one thing:
Everything is complicated and simple
Count your mind!
Teams choose envelopes with the task.
Questions for the 1st team:
1) In which triangle do all altitudes intersect at a vertex? (rectangular)
2) The sum of the lengths of the sides of the polygon. (Perimeter)
3) What number has as many digits as letters in its spelling? (One hundred)
4) A fraction less than one? (Correct)
5) What angle will the minute hand describe in 5 minutes? (30⁰)
6) What is the name of an equality that is true for any admissible values of a variable? (The equation)
7) A beam dividing the angle in half? (bisector)
8) How many vertices does a cube have? (8)
9) The log was sawn into 8 pieces. How many cuts were made? (7)
10) How many bisectors can be drawn in a triangle? (3)
11) Triangle with sides 3, 4, 5? (Egyptian)
12) The angle at which the soldier turns when commanding "circle"? (180⁰)
Questions for the 2nd team:
1) How many kg in half a ton? (500)
2) What is the shortest distance from a point to a line? (Perpendicular)
3) A segment connecting 2 points of a circle and passing through its center? (Diameter)
4) Number of divisors prime number? (Two)
5) Dividing the numerator and denominator by the same non-zero number? (Reduction)
6) The number by which they divide? (Divider)
7) What figure in the translation of the Latin language means "nothing"? (0)
8) The product of three dimensions of a rectangular parallelepiped? (Volume)
9) A geometric figure consisting of two rays having common beginning? (Corner)
10) Type of graph x2 + y2 = r2 ? (Circle)
11) Equality of two relations? (Proportion)
12) How many degrees does an angle contain if it is half a straight angle? (90⁰)
Host: while the jury is counting the points, we have
some interesting posts with hints:
Who doesn't notice
He doesn't study anything.
Who does not study anything -
He is always whining and bored.
Question. This theorem is taught in high school and is called the "bride theorem". Formulate it.
Hints:
1. The theorem is proved in the course of geometry and is considered one of the most important theorems of the course.
2. The theorem is used at every step in the study of geometric questions.
3. The scientist who formulated this theorem was born on the island of Samos. In his youth, he traveled around Egypt, lived in Babylon, where he had the opportunity for 12 years to study astronomy and astrology from the Chaldean priests.
4. In addition to this theorem, this scientist is credited with a number of remarkable discoveries, including the theorem on the sum of the interior angles of a triangle.
5. Particular cases of this theorem were known to some other nations even before its discovery.
6. In building practice, the Egyptians used the so-called "Egyptian triangle" - a triangle with sides 3, 4, 5.
Among the mathematicians of the Arab East, this theorem was called the “bride theorem”, for the similarity of the drawing with a bee, a butterfly, which in Greek was called a nymph. When translating from Greek, the Arabic translator, not paying attention to the drawing, translated the word "nymph" as "bride" and not "butterfly".
The jury announces the results of the competition.
6. Homework (music competition).
Leading: And stands in a wonderful land
New city with a palace
And in the golden-domed palace
Signs live there together,
The signs guard the towers,
They sing a song together.
The 1st team performs a song to the motive "My Bunny"
1. You are my plus, I am your minus,
Cosine you, I am your sine,
You are an axiom, I am a theorem,
You are the consequence, and I am the lemma.
Ma-te-ma-ti-ka my...
Chorus:
I don't sleep well at night
I love math so much
I have loved math for a long, long time.
I don't sleep during the day,
I don't sleep at night
I'm learning, learning, learning, learning, learning.
Leading: Behind the high mountains,
Beyond the blue seas
In the thirtieth state
A beautiful country lives
Mathematics.
The 2nd team performs a song to the motive "Communal Apartment".
1. Oh, my native country,
Land of mysteries and wonders!
Where else is happiness
Where else is this progress?
Under one huge roof
And more spacious and brighter,
We don't need a separate house,
Together will be more fun.
Chorus:
It's maths, maths flat
This is mathematicians, mathematicians country.
Host: And from now on every day
We will surely wake up together
glorify math
And honor her.
Both teams sing the anthem for mathematics (to the motive of the song "What they teach at school").
Hymn to Mathematics
Solve equations, calculate radicals - Geometry is needed, but it's so complicated!
Algebra has an interesting problem! That figure, then the body - you can’t figure it out.
To extract integrals, we need Axioms,
Fraction divide and multiply Theorems are so important
Try hard and good luck will come to you! Learn them - and you will achieve results!
All sciences are good
For the development of the soul.
You all know them yourself, of course,
For the development of the mind, mathematics is needed,
It was, it will be, it is forever!
7. Summing up.
III. Final word from the teacher.
Mathematics is a tool with which a person learns and conquers the world around him. To make a discovery in mathematics, one must love it as each of the great mathematicians loved it, as dozens and hundreds of other people loved and love it. Do at least a small part of what each of them did, and the world will forever remain grateful to you. Love math!
Greetings to the teams from the students in the hall. Four students come out.
1. We are in this hall today 2. We thought and decided together,
Met with jokes, friends. We found the correct answer.
We laughed with you, dreamed, And from everyone sitting in this hall
We learned a lot for ourselves. I give you all my regards.
3. Here all your ingenuity was known, 4. You will cross swords more than once.
And we all worship her. And more than once victory will come to you.
I salute everyone in the hall of the Tournament, raise the flags,
All players in the tournament here. Drop the call:
"To knowledge! Let's hit the road! Forward!"
The jury announces the results of the tournament. Teams for the victory and the most active participants are awarded.
"Math Tournament"
8th grade
For those who teach mathematics
For those who teach mathematics
For those who love math
For those who don't know yet
What can love math
We dedicate our mathematical tournament!
Goals:
- activate cognitive interest to the subject;
- generalize and systematize theoretical and practical knowledge students;
- develop cognitive and creative activity;
- to form an interest in acquiring new knowledge, the ability to think outside the box;
- promote a sense of cohesion, solidarity and healthy competition.
Leading:
Everyone! Everyone! Everyone! Today will be math tournament! We invite everyone to go to an interesting and fun country called mathematics! Do not forget to take with you the speed of thought, resourcefulness, ingenuity, ingenuity and of course good mood!
You met here together
Who is smart enough to decide
A matter of class, a matter of honor
In this meeting, protect.
You must fight together, with a clear goal to win,
You need to justify your hopes and not shame yourself!
The motto of our tournament was the words of the German mathematician G.W. Leibniz:
“Whoever wants to confine himself to the present without knowing the past will never understand it.”
Rules of the game.
The game is played by 2 teams. The first team is "Triangle", the second is "Square". Each of the team members has distinctive emblems, by which you can understand who it represents this student
Leading: Today we are holding a tournament dedicated to mathematics, the “queen of all sciences”.
Praise Mathematics
Mathematics, we praise you today,
And we want to say thank you
After all, about those who made efforts,
You care like an affectionate mother.
Develop your mind and our memory,
You learn to compare, work, reason,
And throwing up a difficult task,
Teach us how to overcome difficulties.
You awaken us, inspire us,
You learn to be persistent.
And you kindle the thirst for knowledge,
Offering unsolved mysteries.
O. Panisheva
Leading:
So, I open the tournament,
I wish you success
Think, think, don't yawn,
Quickly count everything in your mind!
Team presentation.
counting competition start,
Good afternoon my friends!
Two teams in a tournament
I will present them now.
1.Here is the "Triangle" command:
Let every student know
They will be, I want to say
All tasks are on the shoulder!
2. About team number 2
The rumor has already spread.
It's called "Square"
Any scientist is happy with them.
The word is given to the teams.
Each team led by the captain introduces the name of his team, motto, greeting.
Team greetings.
Competition: "We wish you."
Team: Triangle.
Motto: "In the triangle of friends better count,
easier to decide and win!”
1. We want to win today's tournament.
And we won't just let you win.
You have to sweat and try
We will fight for every point.
2. We will show ingenuity and courage,
What if it doesn't work out all of a sudden?
Victory will find everyone someday!
3. Let the fight boil more strongly.
Stronger competition
Success is not fate
But only our knowledge.
4. This tournament is now
Dedicated to science
What do we have with mathematics
It's called with love.
5. She will help educate
Such precision of thought.
To know everything in our life.
Measure and count.
Team: Square.
Motto: "At our square
All sides are equal,
Our guys are strong in friendship!”
To argue the right thing,
In order not to know failures in life,
We go on a hike boldly
Into the world of mysteries and complex tasks.
2. We were waiting for this tournament,
Minds yearned for him
Together we will solve problems -
We want to know mathematics.
3. How can we not have fun?
Do not laugh, do not joke?
After all, today at the tournament
We decided to win!
4. Our team "Square" -
Greetings to all the gathered guys.
We wish everyone to win
And don't lose yourself!
5. And competing with you.
We remain friends.
And so let the fight boil stronger
And our friendship grows stronger with her.
Leading:
And we wish the jury
Be fairer, be stricter
For we ourselves understand
How difficult it is for you to appreciate everyone!
(The jury evaluates the emblem, motto, greeting of each team. The maximum score is -3).
Leading:
To solve most problems, knowledge alone is not enough; resourcefulness and attentiveness are required.
Warm up.
"Repetition is the mother of learning."
Each team answers questions. (For the correct answer - 1 point).
Team Triangle.
A rhombus with all right angles (square).
How many roots does the equation =0 have? (1).
A curve that is a graph of the function y =. (hyperbola)
Which is less or? (equal).
A line segment connecting opposite vertices of a quadrilateral? (diagonal).
6. Measure of weight in old Russia, equal to 16.04kg (pood).
7. The numbers that were used in Ancient Rome about 2500 years ago (Roman).
8. Finding the roots of the equation (solution).
Team Square.
The largest chord in a circle (diameter).
Rectangle. all sides are equal (square)).
How many roots does the equation = 2 have? (2).
Graph of the function y \u003d (parabola).
What do a trapezoid and a rectangle have in common?
Which is greater or (equal).
Points from which the sides of the quadrilateral (vertices) emerge.
A segment connecting the center of the circle with any point on it (radius).
(After the answers of both teams, the jury calculates the points).
I . We start the first round
We will know the winners.
Competition: "One for all, all for one."
Solving charades.
Teams must quickly, correctly and most importantly give an answer in unison.
(The competition is worth 2 points.)
1. When you cut me, you don't cry,
And yet you wipe a tear from your face,
And if you change the letter, I look different:
With the beginning I will become, but without end.
(bow - beam).
2. Arithmetic i sign,
You will find me in the task book
in many lines.
Only "o" you insert, knowing how,
And I am a geographical point.
(plus - pole).
3. The first word is an honorary title,
They even called Monte Cristo.
And the second we often say,
If we get very cold.
(schedule).
4. The preposition is in my beginning.
At the end is a suburban home.
And we decided everything
Both at the blackboard and at the table. (task)
Competition: "Move your brains."
(in 2 minutes rearrange the letters and get new words)
RENIUANWE (EQUATION)
DORB (FRACTION)
THEEOORZK (LINE)
MAMRG (GRAM)
MELDO (MODEL)
Summarizing.
Leading:
While the teams are thinking about their mission, you fans can help earn points for your teams.
Name the mathematical terms, concepts, symbols, signs with the letter "P"
(for example: straight line, proportion, five, similarity, ...). Each word is 1 point
II . Round two: let everyone know
Who is the best at calculating?
I have to read the puzzles
You have to think and count.
Competition "Our numerical constructor - work with your head."
1. Decide:.
Solution:
2. Prove that
( + ) : ( = 0,78) = 6.
Solution: (15 + 33) : (.0.3 + 0.78.10) = 6.
Game "Where is the error?"
Porcupine as a gift to son
Made a new car
Unfortunately she
Not accurate enough.
Results in front of you -
Fix it yourself quickly.
Leading:
One novice wizard, the hero of a comic song, clumsily handled spells, as a result, instead of a thunderstorm, he got a goat. And instead of an iron - an elephant. To solve equations, you need to make a series of transformations, and do it very carefully.
"Find the mistake!"
1. 5x - 20=9x - 36
5(x - 4)=9(x - 4); divide by (x - 4)
5=9
Answer: no roots.
2. Performing tasks for the transformation of expressions containing degrees, the student made mistakes:
5*5*5*5=4 5 4. 2 3 +2 7 =2 10
2 3 *2 7 =4 10 5. 7 1 =1
2 30 /2 10 =2 3 6. (2x)3 =2x3
What definitions, properties, rules does the student not know?
Competition: "A book is a book, but move your brains."
Attached to the board geometric figures. Each figure needs to find its pair - a card with the location of its area. On reverse side card letter. Having composed the word, they must guess the scientist mathematician, on whose grave a monument was erected with the image of a ball and a cylinder described near it. Almost 200 years later, according to this drawing
2 participants from teams are called. ( For a correct answer - 1 point.)
| A h | A h | A h | av | (a+b) h | ||
| A | R | X | AND | M | E | D |
The jury checks the competition, announces its result.
III . We start the third round
We will know the winners.
There will be difficult tasks
We wish everyone good luck!
And finally, the competition of captains:"Mailbox".
The captains of each team take out problems and, after reflection, give an answer. (Each answer is worth 1 point).
1. The wheel has 10 spokes. How many spaces between the spokes? (10).
2. From a piece of matter 200 meters long, 20 meters were cut each time. After how many days was the last piece cut off? (After 9 days).
3. An angle of 1 degree is viewed through a magnifier giving 4x magnification. What size will the angle be? (In 1 degree).
4. Any month starts with 1 and ends with 30 or 31. Which month has the number 28?
5. What should be done to keep 4 guys in one boot? (Remove 1 boot).
6. The professor goes to bed at 20 o'clock. Sets an alarm for 9 o'clock in the morning.
How many hours does the professor sleep? (1 hour).
Homework.
Gallery of remarkable numbers.
"The rain of stars and blue fields are obedient to numbers."
Velimir Khlebnikov
Leading: Two elements dominate mathematics - numbers and figures with their infinite variety of properties and relationships.
The most ancient by origin numbers are natural. "Streams" natural numbers, merging, generate a boundless ocean of real and various kinds of special special numbers
(Each team presents its own number. The maximum score is 5 points.)
IV . You guys are all tired.
We thought a lot, thought
It's time to rest!
So the fourth round - "Game!"
Let's play the gameLearn the word! After solving the examples, you must recognize the scientist who introduced the notation of degrees.
1. d
3. K
4. A
5. X5 \u003d 243 R
512 T
COMPETITION OF FANS.
(Fans of both teams participate). Fans can bring points to the team if they do the right thing.
Grass Geometry Competition.
Name the words of mathematical origin that are in the poem.
Unfulfilled mathematician, wanderer.
Look around, wondering a hundred times:
In herbs - a cut of a wolf - a pentahedron,
And the cross section of oregano is a square.
Everything in the world will appear again
Under the bald mountain, whose top is in the snow:
Catchment - triangular at base
On a flowering alpine meadow!
Where is the circle?
Near the needle rose
Where the heavenly meadow is rocky,
I see - birches play with the wind
Triangular sheet...
Notice mathematics around you - in everyday life and nature. For an observant person, even simple sections of plants are beautiful geometric shapes.
Here the game is over
It's time to know the result.
Who worked the best
Did you excel in the tournament?
While the jury sums up the question for everyone.
Question. This theorem is taught in high school and is called the "bride theorem". Formulate it.
Hints:
The theorem is proved in the course of geometry and is considered one of the most important theorems of the course.
The theorem is used at every step in the study of geometric questions.
The scientist who formulated this theorem was born on the island of Samos. In his youth, he traveled around Egypt, lived in Babylon, where he had the opportunity for 12 years to study astronomy and astrology from the Chaldean priests.
This scientist, in addition to this theorem, is credited with a number of remarkable discoveries, including the theorem on the sum of the interior angles of a triangle.
Particular cases of this theorem were known to some other nations even before its discovery.
In building practice, the Egyptians used the so-called "Egyptian triangle" - a triangle with sides 3, 4, 5. (The Egyptians knew that the indicated triangle was right-angled and the ratio 3 2 + 4 2 = 5 2 , i.e. just what the Pythagorean theorem states).
Summarizing. Announcement of winners. Prize giving.
Thanks everyone for participating!
Leading:
The hour of parting has come
Let the mat.tournament live in the hearts!
Let's say goodbye!
See you in a year!
Literature:
- Gavrilova T.D. Entertaining mathematics.5 - 11kl. Volgograd: Teacher, 2004.
- Goncharova L.V. subject week At school. Volgograd: Teacher, 2003.
- Ichenskaya M.A. Rest with mathematics.5 - 11kl. Volgograd: Teacher, 2008.
- Kordemsky V.G. amazing world numbers. A book for a teacher. Moscow: Education, 1986.
- Lepekhina T.A. Mathematical assortment. Volgograd: Teacher, 2009.
- Nagibin F.F. Mathematical box. Moscow: 1988.
- Panishcheva O.V. Mathematics in verse Volgograd: Teacher, 2008.
