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Educational and methodical material on the topic: Mathematical battle. Greetings of the jury in verse and prose

Educational and methodical material on the topic: Mathematical battle. Greetings of the jury in verse and prose

13.02.2019

Type: educational game.

Form: competition.

Short description : 2 teams of students in grades 8 act as participants.

^ Participants of KVN: jury, audience, presenter. Participants of the competition have team emblems. Props - task packages for each team, a sheet with correct solutions and answers for the jury, clean sheets and pens, prepared crossword puzzles for fans (spectators), colored crayons.

^ Step by step description : preparatory stage. Teams are formed from 8th grade students. Team captains are selected. An announcement about the place and time of the event is placed on the stand mathematical KVN. Tasks for competitions are being developed. Team members get acquainted with the conditions of the game, come up with emblems, team representation. Developed point system evaluating the work of teams at KVN. Game action.

Plan:

Introductory part;
Introduction and greeting of teams;
Warm-up " fun lesson»;
Captains Competition;
Competitions for knowledge and ingenuity;
Artist Competition;
Geometric competition;
Homework. Amateur art competition;
Summarizing.

Course of competitions:

Introductory part.

Leading . Dear Guys! Today will be the opening of our club of cheerful and resourceful.

What is a club? (This is a society of friends who are united by one common interesting thing).

What is "funny" you do not need to explain. After all, what are you guys? Of course they are funny.

What does resourcefulness mean? (When in Hard time you will quickly find the right way out, show skill and make the right decision).

So, friends, let's start the program.

We have a large supply

Who are they for? - For you!

^ Both teams sing (to the motive "Smile")

We are trusted with you

Have a successful fight

To test resourcefulness and knowledge,

math to teach

And don't let yourself down

Of course, we understand all this.

Leading.

Counting competition open

Good afternoon my friends.

Two teams - in KVN

I will present them now.

^ 2) Introduction and greeting of the teams.

Team 1: "Two-two"

We are ready to fight boldly

And we give you our motto

Well, victory is only for us!

Song:

We will sing ditties to you

About our mathematics

About tasks, equations

And about complex examples.

I am friends with Chamomile

I visit him.

He solves problems for me

And I'm sitting next to you.
The lesson starts

The math is on.

Sanya is standing at the blackboard,

Tortures his brains.

Finished a great example

Turned around and sang.

"Mathematics is a science

Without you, we have no life,

That's what all the guys said

In our class, finally.

Team 2: "Eureka"

Today in this room

We're on the offensive

Not a step back, not a step in place,

And only forward and amicably all together.

School gets on our nerves

Morning, evening and afternoon

We thought and decided:

Let's go play KVN.

Maybe we will lose

Or we'll come first

We thought - we decided

Yes, we will shut you up by the belt.

We fight today

Our disputes are hot

Your opponent is giving you advice.

Learn math.

Leading.

All competitions are judged by a distinguished jury.

For the game to go right

I am glad to present the jury

The one on the right is Lomonosov

Mathematician and philosopher.

Lobachevsky - on the left here,

Russian pride and honor.

The third is just right for them -

Call Sofia Kovalevskaya!

Team 1: "Two-two"

A large table is covered with a blue tablecloth,

And the jury is sitting at the table.

The jury is sweet, fair,

You judge us, but also have mercy.

Team 2: "Eureka"

Oh jury, jury, oh mighty

Black eyes, burning eyes

How we love you, how we appreciate you

Do not destroy us in this difficult hour.

^ Greetings to the fans (both teams sing)

We can't live without you

You are my fan, good.

We've been friends for a long time,

Clap your hands louder.

We won't lose - don't wait

It would be embarrassing otherwise

Two will not put us, go,

But it hurts to lose.

^ Addressing an opponent:

Team 1: "Two-two"

An opponent is biting only from the life of a dog.

Only from life, from the life of a dog

The opponent is biting.

(gift - a bottle of milk with a pacifier)

Drink milk children, you will lose easily.

Team 2: "Eureka"

You will lose, but don't cry

We have been friends with you since childhood

Still try to lose

We wish you with all our hearts.

(Gift - fluff.)

May Allah help us

Rip you to smithereens.
3. Warm-up "Fun lesson" (team competition)

If the team does not answer, then the fan will help to answer.

There were 5 tits and 7 sparrows on a branch. 6 birds flew away. Did even one sparrow fly away? (yes, he flew away, because there are only 5 tits).
6 candles were burning. 1 of them went out. How many candles are left? (2 candles left, the rest burned out).
Marina had a whole apple, two halves and four quarters. And how many? (3 apples).
In what city for the first time 3 thousand years ago began to measure angles in degrees? The answer is in the riddle
60 sheets of a book are 1 cm thick. What is the thickness of all the sheets of a book if it has 240 pages? (2 cm)
What is the angle squared? (90°)
What is the adjacent angle for an angle of 79°? (101°)
What are the lengths of the sides of the Egyptian triangle? (3,4,5)

4. Competition of captains.

Guess the melody and say a phrase that contains a mathematical term.

"Teaching at school" (add two to four)

"It's fun to walk across the open spaces together" (one board, two boards)

"Crocodile Gena" (and give 500 popsicles)

"In the grass Grasshopper sat" (he only ate grass)

"There, beyond the river..." (hundred young fighters)
5. Competitions for knowledge and ingenuity

1. Who are these lines about? (Pythagoras)

In the mists of time, under our nonsense, the truth flashed.

She is still true to this day.

Finding a clue, wise old man

I was grateful to heaven.

He ordered a hundred bulls to roast

And sacrifice to the gods.

Since then, the bulls have been breathing anxiously,

They, cursing, the gifts of the gods,

When they hear about the new truth, they raise a terrible roar.

Their elder's name shakes,

Their truth rays blind

And, expecting a new victim, bulls,

Shuddering, they tremble.

^ 2. Make the longest math word out of letters: (number )

k l e s n i h o v

3. It is known that the hippopotamus weighs 1 t 800 kg. How many hippos can be carried by a 5 ton truck? (2 hippos)

4. "Mathematical Dictionary".

Who knows no difficulty in terms,

Will write everything now without delay.

(For 3 minutes, write mathematical terms in letters. The one who has time to remember and write down more will win)

Team 1: "Two-two" - letterTO

Team 2: "Eureka" - letterWITH

5. Art competition .

Draw with both hands at the same time: one is a circle, and the other is a rectangle.
At the command of the presenter, draw with eyes closed little man. Point - point - comma - minus - curved face - stick - stick - cucumber. Here comes the man!

6. Geometric competition.

How many rays are in the picture? (20 rays)

How many corners are in the picture? (18 corners)

How many lines are in the picture? (10 cuts)

How many diamonds are in the picture? (14 diamonds)

7. Homework.

Amateur art competition.
8. Summing up.

Each competition is evaluated by the jury with a certain number of points, and after its completion the jury announces the results. In KVN, the team that scored the largest number points in all competitions.

Our KVN is over, it's time to go home.

But these friends are not a hindrance,

And at the hour of parting, I wish you

Good luck in your studies.
"Hour of fun mathematics" - Grade 9

The subject of mathematics is serious

what is useful not to miss case

make it a little entertaining.

B. Pascal

Goals:

Motivation cognitive activity, development of intelligence, curiosity, logical and creative thinking.
Development and strengthening of interest in mathematics, promotion of the development of a culture of collective work, the formation of friendly and benevolent relations.

GAME PROCEDURE:

The game involves two teams of 5 people, which are selected by lot. Teams receive names and have 5 minutes to come up with their own motto while further preparations for the game take place.
The jury is determined. The rest of the students are spectators and fans.

The game starts. The teacher introduces the teams of participants. Students are invited to choose from the following competitions:

« finest hour»;
"Lucky case";
"Field of Dreams";
"Brain Ring";

“Think! Figure it out!"

Representatives from the teams alternately make their choice.
Tasks for competitions:

1. "Star hour" –

each team receives a set of numbers (from 1 to 10). On interactive whiteboard names are written mathematicians under the numbers: 1 - Pythagoras; 2 - Euler; 3 - Ada Byron; 4 - Heron; 5 - Viet; 6 - Hypatia; 7 - Lepot; 8 - Galois; 9 - Euclid; 10 - Descartes. The host asks questions, and the teams who are faster must raise a sign with the correct number. For each correct answer, the team receives 5 points.

Question	Answer
Modern look trigonometry was given by a Swiss mathematician who lived in the 18th century. He was an associate of M.V. Lobachevsky, worked from the age of 20 in Russian Academy Sciences. For the last 17 years, the scientist was blind, but he did not quit his job: he dictated his thoughts to his students, and they did the calculations. Who is this scientist?	No. 2 - Leonard Euler
This brilliant mathematician, who, despite his youth, managed to make many discoveries in mathematics, but, unfortunately, was killed in a duel at the age of 21. Who is this?	No. 8 - Evariste Galois
From the works of this scientist came all the ideas for a further, more perfect justification of geometry. He owns the words: "There is no royal road in mathematics." Name the scientist.	No. 9 - Euclid
According to the information that has come down to us, the first female mathematician was a Greek woman who lived in Alexandria from 370 to 415. What is her name?	No. 6 - Hypatia
A flower brought from India is named after her. This is the great French calculator. Her name?	No. 7-Hydrangea Lepot
If we repeat the ancient legends, then this scientist, in honor of his discovery, sacrificed a bull, or maybe 100 bulls. Named after him greatest discovery. His name?	No. 1 - Pythagoras
The only daughter of the English poet, whose work was loved by Pushkin, Lermontov, Belinsky, also studied mathematics. Who is this woman?	No. 3 - Ada Byron
In the "Metrics" rules and formulas are given for the exact and approximate calculation of various geometric shapes, for determining the area of \u200b\u200ba triangle along three sides, the rules for the numerical solution of quadratic equations and the approximate extraction of square and cube roots. Who is this?	No. 4 - Geron
By profession a lawyer. In 1591, he introduced letter designations not only for unknown quantities, but also for the coefficients of equations. He owns the establishment of a uniform method for solving equations of the 2nd, 3rd and 4th degrees. Who is this?	No. 5 - Francois Viet

"Brain ring »

- the host asks a question. Team members are given 1 minute to discuss. If the team is ready to respond early, they will raise their hand. Questions are asked in turn. If one team doesn't know the answer, the other can answer. For each correct answer - 3 points.

Question	Answer
A device for measuring angles on the ground.	Astrolabe
What does octahedron mean in Greek?	Octagon
From Greek word Mathematics is the word for mathematics. What does this mean?	The science
Which city has the streets of Pythagoras, Newton, Archimedes?	Amsterdam
In 1685, a mathematical notation was introduced in Paris due to a typographical misprint. What is this designation?	Sign "%"
According to Arabic giving, Heron's formula was not discovered by Heron himself. Who?	Archimedes
The newly constructed geometry was called "imaginary". Gauss called it "non-Euclidean". What do we call it now?	Geometry of Lobachevsky
"He who does not know geometry shall not enter the Academy." Who is the author of these words?	Philosopher ancient world– Plato
What does the word trigonometry mean?	Angle measurement
With the name of which scientist is the usual rectangular coordinate system associated with us?	Rene Descartes
Which of the ancient mathematicians was the first Olympic champion in fisticuffs?	Pythagoras
Which mathematician was the first to establish the existence of one-sided surfaces?	Möbius
The German scientist who is called the "King of Mathematics"?	Gauss
In which country did negative numbers first appear?	Ancient China

"Field of Dreams"

- empty squares are drawn on the interactive whiteboard, indicating the number of letters in the word. Participants are asked a question and are allowed to open any 3 letters (participants name the letters, if they are in the word, then the leader writes them down on the board). After that, a minute is given for discussion. If the team did not answer or answered incorrectly, then the second team can try. For a correctly guessed word, the team receives 3 points.

What did the ancient Greeks call the branch of mathematics that dealt with proportions?

The great mathematician, who in 1700 by Peter I, was appointed to the Russian noble youth as a teacher of mathematics. Created the first Russian textbook on mathematics and navigation for the school. His son wrote on the gravestone that "... the father of the sciences was studied in a marvelous and inconveniently probable way ..." What is the name of this mathematician.

“Think! Figure it out!

- One student participates in the competition. He is offered a list of mathematical terms that you must try to convey without words. The team must guess. For a correctly guessed word - 5 points.
Tasks for the I team: triangle, ellipse, inequality, board, angle, figure, addition, chalk, perimeter, student, diagonal.

Tasks for the II team: circle, subtraction, equation, graph, school desk, brackets, compasses, vector, teacher, degree, notebook.

"Lucky case"

- teams for certain time answer questions. The more questions, the better. Correctly guessed question - 2 points.

1 team		2 team
What is 1/4 hour equal to?	15 minutes	What fraction of an hour is 20 minutes?	1/3
1% meter?	1 cm	What is an astrolabe?	Angle measuring device
Greatest natural number?	No	The smallest natural number?	1
Mass of 1 m 3 of water?	Ton	What is 1%?	1/100 part
A statement accepted without proof.	Axiom	Could Lobachevsky be a student of Euclid?	No
What is the circumference of a circle with radius 5?	10	What is lighter than 1 kg of cotton wool or 1 kg of salt?	Are equal
Which European city has a Copernicus street?	Amsterdam	A line segment connecting two neighboring vertices quadrilateral?	Diagonal
What is an abacus?	abacus	The third letter of the Greek alphabet?
What is the graph of the function y = r/x?	Hyperbola	What is the graph of the function y \u003d x 2?	Parabola
What is the name of the second coordinate point?	Ordinate	What is the name of the first coordinate of a point?	Abscissa
A line segment that connects two points on a circle?	Chord	A device for measuring and constructing angles?	Protractor
A device for constructing a circle.	Compass	What is the angle squared?	90o
What is 1 pound equal to?	400 gr	Can division result in 0?	Yes
Mass unit precious stones?	Carat	Whose pants are equal in all directions?	Pythagoras
Can multiplication be 0?	Yes	What is the volume of 1 kg of water?	1 liter

The game ends, the results are summed up, the winners are awarded.

Chasovskikh Tamara Vasilievna

mathematics teacher of the highest qualification category

Mathematical Tournament: "Jolly Hour"

Goals of the tournament:
development creativity students; rallying 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. introduction teachers.
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) Mathematician, whose name is given to the theorem expressing the relationship between the coefficients 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 of 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 funny boys, 2. In our class, all the guys 3. Mathematics 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 total 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 box with equal measurements. (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 is the number in translation Latin means "nothing"? (0)
8) The product of three measurements of a cuboid? (Volume)
9) Geometric figure, consisting of two beams 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 messages 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 studied 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 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!

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 fight

Math fightis a competition between two teams in solving mathematical problems.

Matboy is an evolving form extracurricular work mathematics. She has actively entered the practice of the school in the last 10-15 years.

Matboys can be organized as tournaments intraclass , school-wide, or as city or district, when combined teams of schools or districts compete.

Matboys are always held in the form of competitions, the results of which are evaluated by the jury. Matboys are very exciting and emotional form mathematical competition, teams should always feel the support of their fans. Tasks in matboys can be designed to be completed within a certain period of time, sometimes a team is given a week to complete the task. However, matboys with express tasks are especially interesting, which are completed in a matter of minutes and are immediately evaluated by the jury.

The experience of mateboys will help the participants in the future: the ability to make a scientific report, listen to and understand the work of another, ask clear questions on the merits - all this will be useful at seminars and conferences, for reviewing books and articles, for joint scientific work. Also, students different schools they get acquainted on matboys, create a new social circle. And the last thing: after a successful matchup, the taste for good work wakes up, I want to perform again, but as it should, taking into account all the mistakes. Therefore, it is sometimes more useful for teams to lose than to win.

Matboys originated in Leningrad and were invented by Joseph Yakovlevich Verebeichik around 1965. The first matboys were held within the walls of school No. 30, where Iosif Yakovlevich worked as a mathematics teacher and led circles. After many years, matboys began to be held in different cities, but there were some discrepancies in the rules. With great difficulty, thanks to the summer mathematical schools in Kirov, where Moscow, Leningrad and Kirov teachers met, these differences were overcome in long disputes.

Signs:

The presence of rules of communication in the conditions of the competition;

Availability common purpose commands;

Limited time and its distribution by stages of the competition;

Objectivity of evaluation of results;

A clear system of organization;

Entertaining wording of tasks, tasks.

Characteristic:

Target:

Development cognitive interest to the subject.
Generalization and systematization of knowledge: in matboy, tasks are used mainly for logic and ingenuity. As well as tasks on the topics: drawing up equations and solving them; Polynomials and arithmetic operations on them; Solution of systems of equations with two unknowns.
To develop the ability of group members to interact with each other.
Score the most points.

Preparing for the lesson:

The tasks for the mathematical battle are written down on album sheets in four copies: for the teams, the jury and the teacher. The protocol of the fight for the jury. Black box "with a surprise" (see captains' competition)

Rules:

Two teams (7 people each) participate in the mathematical battle. Each team has a captain, who is determined by the team before the start of the battle. The fight consists of two stages.

The first stage is solving problems, the second is the battle itself. During the first stage, problem solving can be done jointly by the whole team. Remember that none of the participants in the battle can go to the board more than twice. Therefore, a participant who has solved many problems that have not been solved by others must, during the first stage, tell his teammates about his solutions.

The second stage begins with the competition of captains. (According to the decision of the team, any member of the team can participate in the competition instead of the captain). The winning team decides which team makes the first challenge. This, like all other team decisions, is announced by the captain.

▪ The call is made as follows. The captain announces:. The other team may or may not accept the challenge. The team that accepted the challenge puts up a speaker, the other team - an opponent. After a meeting with the teams, the captains name the opponent and the speaker. The task of the speaker is to give a clear and understandable solution to the problem. The task of the opponent is to find errors in the report. During the presentation, the opponent does not have the right to object to the speaker, but may ask him to repeat an unclear place. the main task opponent - to notice all the dubious places and not forget about them until the end of the report. At the end of the report, a discussion takes place between the speaker and the opponent, during which the opponent asks questions about all the unclear places in the report. The discussion ends with the opponent's conclusion:I agree with the decision ("disagree"", explanation).

▪ After that, the jury (teacher) awards points. Each task is worth 12 points. Points are deducted for errors and inaccuracies. The number of points taken is determined by the proximity of the story to the correct solution. If the errors were found by the opponent, then the opposing team receives up to half of the deducted points. Otherwise, all selected points go to the jury.

▪ The team that received the call may refuse to report. In this case, the calling team must prove that it has a solution to the problem. To do this, she exposes the speaker, and the second team - the opponent.

▪ During a bout, each team is entitled to six 30-second breaks. Breaks are made in cases where it became necessary to help a standing student at the blackboard or replace him. The decision to take a break is made by the captain.

▪ If the captain is at the board, he leaves for himself the deputy, who at that time acts as the captain. The names of the captain and deputy are communicated to the jury before the start of solving problems. While solving problems main duty captain - to coordinate the actions of the team members so that the available forces solve as many tasks as possible. The captain finds out in advance who will be the speaker or opponent for a particular task and determines the entire tactics of the team in the upcoming battle.

▪ The team that has received the right to challenge may refuse it. In this case, until the end of the battle, only their opponents have the right to report, and the team that refused can only oppose. In this case, opposition is carried out according to the usual rules.

▪ The jury is the supreme interpreter of the rules of combat. In cases not provided for by the rules, it makes a decision at its own discretion. The decisions of the jury are binding on the teams.

▪ At the end of the fight, the jury calculates the points and determines the winning team. If the gap in the number of points does not exceed 3 points, then a draw is recorded in the battle.

▪ A team may be penalized up to 6 points for noise, being rude to an opponent, etc.

Math Battle Protocol

call no.	task number			Who called whom			Jury
call no.	task number	Surname	Number of points.	Who called whom	Surname	Number of points.	Number of points.	Notes, not accuracy










Total:

Sample:

call no.	task number	Name of the 1st team		Who called whom	Team II name		Jury
call no.	task number	Surname	Number of points.	Who called whom	Surname	Number of points.	Number of points.	Notes, not accuracy
								Team I broke the silence

What class is the math battle for?

Math fight for 7th grade

Course of the competition: Epigraph: “The subject of mathematics is so serious that it is useful not to miss

chance to make it entertaining»

(Pascal)

I invite two teams to conduct the fight: the “team name” team and the “team name” team.

(To the teams) Please receive your assignments. Within 15-30 minutes you should complete it.

Now let's start the math fight. I'm calling the team captains.

"Captain Contest"

Task: You need to guess what is in the black box, while using as few clues as possible.

Hints:

The oldest item has been lying in the ground for 2000 years.
Under the ashes of Pompeii, archaeologists have discovered many such objects made of bronze. In our country, this was first discovered during excavations in Nizhny Novgorod.
For many hundreds of years, the design of this object has not changed, it was so perfect.
In Ancient Greece, the ability to use this subject was considered the height of perfection, and the ability to solve problems with its help was a sign high position in society and a great mind.
This item is indispensable in architecture and construction.
It is necessary to transfer dimensions from one drawing to another, to build equal angles.
Riddle: “Two legs conspired

Make arcs and circles

Additional competition for captains:Who will quickly name 5 mathematical terms starting with the letter "P":

The unit of measure for angles.
Segment in a circle.
Type of number.
Flat quadrilateral.
Equations that have the same solutions.

The team captain "team name" won.

You have the floor, captain. (“We challenge rivals to task number…”.)

Team "team name", are you up for the challenge? (Yes)

What questions or additions will the jury have?

Dear jury, please put your marks in the fight protocol.

The word is given to the team "team name"

Team "team name", are you up for the challenge?

Please nominate a speaker and an opponent.

For now, our esteemed jury is counting the results, I invite the teams to the stage ...

To sum up the results of the mathematical battle, the floor is presented to the chairman of the jury...

So, in today's mathematical battle, the team "team name" won with a score of: ...

The team "team name" is given the title"The Wisest of the Wise",

Team "team name" -"The smartest of the smartest."

Thanks to the teams, please take your seats.

Task list

A chocolate costs 10 rubles and another half a chocolate. How much does a chocolate bar cost?
The man says:I lived 44 years, 44 months, 44 weeks and 44 days". How old is he?
The car meter showed 12921 km. After 2 hours, a number appeared again on the counter, which was read the same in both directions. At what speed was the car traveling?
Letter designations were first introduced by the French mathematician François Viet (1540-1603). Before that, they used cumbersome verbal formulations. Try to write to modern symbolism such an example:The square and the number 21 are equal to 10 roots. Find roots».
How old is grandma?

Vasya came to his friend Kolya.

Why weren't you with us yesterday? Kolya asked. “Yesterday my grandmother celebrated her birthday.

I didn't know, Vasya said. - How old is your grandmother?

Kolya answered intricately: “My grandmother says that in her life there was no such occasion that her birthday did not cope. Yesterday she celebrated this day for the fifteenth time. So think about how old my grandmother is.

Let's say I took 100 rubles from my mother. Went to the store and lost them. Met a friend. I took 50 rubles from her. I bought 2 chocolates for 10. I have 30 rubles left. I gave them to my mother. And I owed 70. And my friend 50. Total 120. Plus I have 2 chocolates. Total 140! Where is 10 rubles?
Three friends: Ivan, Peter and Alexey came to the market with their wives: Maria, Ekaterina and Anna. Who is married to whom, we do not know. It is required to find out on the basis of the following data: each of these six people paid for each purchased item as many rubles as the number of items he bought. Each man spent 48 rubles. more than his wife. In addition, Ivan bought 9 items more than Ekaterina, and Peter bought 7 items more than Maria.
Fill in the cells so that the sum of any three adjacent cells is 20:

A tourist goes on a hike from A to B and back, and completes the whole journey in 3 hours and 41 minutes. The road from A to B goes first uphill, then on level ground, and then downhill. How long does the road pass through a flat place, if the speed of a tourist is 4 km/h when going uphill, 5 km/h on level ground, and 6 km/h when going down the mountain, and the distance AB is 9 km?
The number ends with the number 9. If you discard that number and add the first number to the resulting number, you get 306,216. Find this number.

Answers:

Captains Competition: Compass

Additional competition of captains:radian, radius, rational, rhombus, equivalent.

Problem solutions:

Answer: 20 rubles . X / 2 + 10 \u003d X, where X is the price of a chocolate bar.
Answer: 48 years old 44 months = 3 years and 8 months.

44 weeks = 9 months

44 days = 1.5 months

44 years + 3 years and 8 months. + 9 months + 1.5 months = 48 years and 6.5 months.

Answer: 55 km/h (105 km/h).

13031-12921=110 (km)

110:2 = 55 (km/h)

13131-12921=210 (km)

210:2=105 (km)

Grandma - 60 years old She was born on February 29th. Thus, she celebrated her birthday once every 4 years.
You need to add not chocolates, but 30 rubles, which they gave away. Chocolates don't count anymore. 30 rub. already given away, the remaining 20 went on account of the debt.

Took: 100 + 50 = 150 rubles.

Should: 150-30 = 120 rubles.

Spending 100+20=120

After all the losses and expenses, 150-120 \u003d 30 remained - I gave them to my mother, and she owed 70 rubles to her. and 50 - to a friend, total 120 rubles. (compare with the 2nd line).

If his wife bought at items, then she paidrub. So we have, or (x-y)(x+y)=48. Numbers x,y- positive. This is possible when x-y and x+y are even, and x+y>x-y.

Decomposing 48 into factors, we get: 48=2*24=4*12=6*8 or

Solving these equations, we get:

Looking for those meanings x and y , the difference of which is 9, we find that Ivan bought 13 items, Ekaterina - 4. In the same way, Peter bought 8 items, Maria - 1.

Thus, we get pairs:

The numbers between which there are two cells must match.

The difference is only in the third number: 4

Answer:

Let x be the length of the path along the flat place of the SD, then AC + DV = 9-x.

A tourist passes sections AS and DV twice, once uphill at a speed of 4 km / h, the other

downhill at a speed of 6 km/h.

On this path he will spend

The path on level ground will takeBecause for the whole way there and back, the tourist will need 3 hours. 41 min., then

|*60

15(9th)+10(9th)+12*2x=221

135-15x+90-10x+24x=221

X=-4

Answer: x = 4 km.

Answer: 278 379

Tasks for fans:

Puzzles:

I do not look like a penny,

Doesn't look like ruby.

I am round, but not a fool,

With a hole, but not a donut.

(zero)

I'm not an oval and not a circle,

I am a friend of the triangle

I am the brother of the rectangle

After all, my name is...

(square)

Squirrel dried mushrooms,

There were 25 whites

Yes, 5 more oilers,

7 mushrooms and 2 chanterelles,

Very red-haired sisters.

Who has an answer?

How many mushrooms were there?

(39)

Hares are sawing logs. They made 10 cuts. How many churboks turned out? (eleven)
What does the word "darkness" mean in mathematics? (a lot of)
Zero's rival? (cross)
How many kids did a large goat have? (7)
Triangular scarf? (scarf)
Who changes clothes 4 times a year? (Earth)
A disappearing variety of disciples? (excellent students)

Exercise: Name mathematical terms with the letter P:

Hundredth of a number (percentage)
Graph of a quadratic function (parabola)
Mutual position of two straight lines (parallel)
The sum of the lengths of all sides of a polygon (perimeter)
A line segment that forms a right angle with a given line (perpendicular)
Sign to indicate action (plus)
Geometric transformation (rotation)
Flat quadrilateral (parallelogram)

Crossword

Horizontally:

1. A ray that bisects an angle. 4. Triangle element. 5, 6, 7. Types of a triangle (at the corners). 11. ancient mathematician. 12. Part of the line. 15. 16. A line segment that connects the vertex of a triangle with the midpoint of the opposite side.

Vertical: 2. The apex of the triangle. 3. figure in geometry. 8. Triangle element. 9. View of a triangle (on the sides). 10. A segment in a triangle. 13. A triangle with two equal sides. 14. Side of a right triangle. 17. Triangle element.

A game.

I will tell you a story

In half a dozen phrases,

I'll just say the word "three" -

Get your prize now!

Once we caught a pike

Gutted, and inside three

Small fish were seen

And not one, but whole ... two.

Dreaming boy tempered

Become an Olympic champion

Look three, at the start do not hee three,

And wait for the command “one, two, ... march!”

When you want to remember poetry

They do not bison until late at night,

And repeat them to yourself

1. Bisector.

4. Party.

5. Rectangular.

6. Acute-angled.

7. Obtuse.

11. Pythagoras.

12. Cut.

15. Hypotenuse.

16. Median.

2. Point.

3. Triangle.

8. Top.

9. Equilateral.

10. Height.

13. Isosceles.

14. Leg.

17. Angle.

When developing a mathematical battle, the following was used

Literature:

Ignatiev, E.I. In the realm of ingenuity [Text]. / ed. M.K. Potapov with textological processing by Yu.V. Nesterenko. - M.: Nauka, 1978. - 192 p.

The book contains tasks of an entertaining nature, with varying degrees of difficulty. As a rule, problems are solved with the involvement of minimal information from arithmetic and geometry, but they require quick wits and the ability to think logically. The book contains both tasks accessible to children and tasks of interest to adults.

Journal "Mathematics at School". - 1990. - No. 4. An article called "Math Fight" was used. It describes in detail what Matboy is, the rules of mathematical combat, and sample tasks.

Karp, A.P. I give lessons in mathematics [Text]: A book for the teacher: From work experience. - M.: Enlightenment, 1992. - 191 p.

The book contains methodological developments some lessons, samples of k / r., materials for mathematical competitions (olympiads, matboy) and other competitions. The book will assist the teacher in working with students who are interested in mathematics.

From the book of Kovalenko V.G. Didactic games at the lessons of mathematics [Text]: A book for the teacher. – M.: Enlightenment, 1990. – 96 p.

some tasks were taken for relay competitions.

V.A. Gusev, A.I. Orlov, A.L. Rosenthal" extracurricular work in mathematics in grades 6-8". M: Education, 1984-285 p.

Kordemsky B.Ya. "To captivate schoolchildren with mathematics: (material for classroom and extracurricular activities). M: Education, 1981-112s.

This book is a kind of manual containing auxiliary materials for fostering a passion for mathematics. The author selected interesting and valuable arguments of scientists, presented original entertaining tasks for math games and math fights.

Competitions, contests, games are great entertainment for children and adults. Team games unite people, give the opportunity to show their best qualities, show leadership! Sport competitions- it's passion and the will to win! Evaluates the results of the jury members' performances. Usually these are respected people who understand the subject of the competition. Such a custom is to give greetings to the jury and opponents. It can be comic and serious, in verse or prose. There are no restrictions, a complete flight of fancy.

We are the best!

How exciting it is to participate in competitions, KVN, sports tournaments. But if you tried once, you can no longer stay away and not take part. Constant training, rehearsals are tiring, but the taste of victory interrupts all these trifles and fatigue! Prepare an enchanting greeting from the jury to immediately declare yourself bright and unusual! Let the rivals tremble with fear from the very first minute of the event!

Sport

Athletes are serious and reserved people. But if it is necessary to present a greeting to the jury, they are liberated and show all their artistry.

Jury, we welcome you!

You all have gathered - the highest class!

Judge strictly, fairly,

And we will play nice!

After all, our team is the wind,

We are fast, lightning fast,

Not kids at all!

You enjoy our game

Our commander is a hero!

Rivals, don't be afraid

Have some tea and relax!

You have to accept fate

Go home without a cup!

We start to loosen up

To in at its best show you!

The sports greeting of the jury can be sung by the support group. This is a group of pretty girls who dance to rhythmic music, perform simple ones and shout out the team's chants and mottos. They can sing the jury like this turn of events.

Our team is strength

How cute is that

What exactly are you - members of the jury,

We welcome you with all our hearts!

Our guys are very strong

They will definitely win!

We wish them the highest score,

And a flurry of applause for you!

Let's be honest with the public

Our guys are the best!

Such a greeting of the jury in verse will appeal to everyone. It sounds provocatively and easily, no complex turns and words!

Minute of humor

KVN - this game has won the hearts of the inhabitants of our country. People of all ages watch this fun show and get the best out of it. The tradition of having fun Mind games in schools and universities originated many years ago. The children are happy to take part in the games and are proud of it. For many school KVN opened the way to adult life, humor has become a profession, not a hobby.

The jury sits in the front row, the guys are worried backstage, and the audience is exhausted in anticipation good humor. This atmosphere fills the whole building, the heart of everyone present, leaves pleasant memories. The first competition is a welcome. Teams should, in all their glory, get to know the jury, opponents and fans. Greetings from the jury at KVN are teams. During this presentation, an opinion and a first impression will be formed.

Court

KVN is held according to the standard scheme, whether it is a school, institute or kindergarten. The host introduces the members of the jury and the team. Then, in turn, the teams are called to the stage and greet the jury.

Hello wonderful jury,

Today we are in front of you!

You can judge us

But just be careful

Our hearts are anxious

After all, it's all so complicated!

Wait for the results, suffer,

Let's laugh better!

You, dear ones, we will make you laugh,

We will deprive the whole room!

Listen, look

After all, we are like a rare big diamond!

You can bend our ratings up a little,

Then we'll break off the diamond a little!

The last phrase is whispered and with a cunning accent by one member of the team, as if trying to bribe the judges! It will turn out very funny, such a greeting from the jury will go with a bang!

School years

All kinds of competitions, contests, games are often held in schools. Be sure to participate in these activities. After all, it's fun, and it's not a shame to show your talent! Take prizes, win cups and diplomas, in old age you will have something to brag to your grandchildren. developed from the very early childhood. Let the children be sociable, sociable. Help your children to be liberated and show leadership qualities. In any competition required condition- Greetings to the jury and competitors. Declare yourself with humor and dignity!

Winners

The team name should speak for itself. Therefore, think over all the options in advance. Let it inspire fear in opponents and confidence in the team itself. A capacious, sonorous word that is remembered from the first time is a guarantee good name teams! Prepare some mottos that rhyme with the name. Let the fans make posters and learn slogans. After all, support is very important and needed! Players will strive to win victory at any cost, so as not to let down their support group. Tell the kids that they are the best! And thoughts, as has long been verified, materialize!

We wish you rivals

The main prize to get us!

Don't be offended, don't be shy

You are in the hall.

You can, as the audience, sit quietly,

Look at our talents with a smile!

Jury, we respect you,

A top scores we just love it!

Do not judge strictly

You wink at us!

We are funny, not evil,

Be like you today!

Only forward!

After watching the greetings of the teams, the jury immediately identifies the favorites. To take possession of this title, you need to give your best at the greeting. Invite the guys to sing it to the rhythm of rap. Let them put on the appropriate outfits and learn simple moves! Waving hands, clear diction and artistry will lead them to victory.