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.
Introductory part.
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 any 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 car with a carrying capacity of 5 tons? (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 judged by a jury a certain amount 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.
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!"
Tasks for competitions:
1. "Star hour" –
each team receives a set of numbers (from 1 to 10). Names written on the whiteboard 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 |
| No. 2 - Leonhard Euler |
| No. 8 - Evariste Galois |
| No. 9 - Euclid |
| No. 6 - Hypatia |
| No. 7-Hydrangea Lepot |
| No. 1 - Pythagoras |
| No. 3 - Ada Byron |
| No. 4 - Geron |
| No. 5 - Francois Viet |
"Brain ring »
| Question | Answer |
| Astrolabe |
| Octagon |
| The science |
| Amsterdam |
| Sign "%" |
| Archimedes |
| Geometry of Lobachevsky |
| Philosopher ancient world– Plato |
| Angle measurement |
| Rene Descartes |
| Pythagoras |
| Möbius |
| Gauss |
| Ancient China |
"Field of Dreams"
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!
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"
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 instrument
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.
Tournament of nerds
Business card teams
- Greetings
- Motto
I I round
"Warm-up"
- What branch of mathematics deals with operations with numbers?
- What is variable equality called?
- What is the graph of a quadratic function?
- The result of what action is called the sum?
- What is a linear function?
- What is the smallest prime number?
- What is the name of a fraction whose numerator is less than the denominator?
- What is the smallest natural number?
- What is the name of a function of the form y = ax² + bx + c?
- What is the sum of the numbers from -200 to 200?
- What three identical numbers must be added together to get 18?
- What are numbers called when multiplied?
- What is the arithmetic Square root out of 169.
- Name the number that "separates" positive and negative numbers.
- How many roots does quadratic equation if the discriminant is greater than zero?
- Which is more or 2 ?
I I I tour
"Who is faster?"
- x 2 − 2x − 3 = 0
- -=0
- sin(-x) = sin(-)
- 1,2(3 b +5)=2(2,4 b – 3,6)
I V round
"Audience Contest"
- What can't mathematicians, drummers and hunters do without?
- What part of an hour is 15 minutes?
- What is the result of addition called?
- How many months in a year have 28 days?
- Which is lighter: one kilogram of cotton wool or one kilogram of iron?
- A goose weighs 1 kg, how much will it weigh standing on two legs?
I V round
"Audience Contest"
- How many times do you have to measure to cut once?
- How many nuts are in an empty glass?
- There are 6 daughters in the family. Each has a brother. How many children are in the family?
- What are lines that never intersect called?
- What sign should be put between the numbers 2 and 3 to get a number greater than two, but less than three?
- What is the name of a ray that bisects an angle?
I V round
"Audience Contest"
- What is the inverse operation of division called?
- How many people are not waiting for one?
- Name three days in a row, without using the names of the days of the week and numbers.
- 90 apples grew on a birch. blew strong wind, and 10 apples fell. How much is left?
- Which wheel does not spin when turning right?
- What is the correct way to say "9 plus 7 equals 15" or "9 plus 7 equals 15"?
- The wheel has 10 spokes. How many spaces between the spokes?
V round
"Solve the puzzle"
POWERFUL
5,2,1,3,
ZNAM
Drawings Savchenko E.M.
STV
ONE
CA b
VI round
"Puzzle"
Find names
three mathematicians
P
AND
Here the game is over It's time to know the result. Who worked the best Did you excel in the tournament?
Learn to think, explain Learn to think, reason. After all, in mathematics, friends, It's impossible without logic.
"Joke Tasks"
The table top has 4 corners. One was cut off. How many corners does the table have?
5 corners
"Joke Tasks"
What more work all digits or their sum?
Sum
"Joke Tasks"
Add 5 to 7. How to write correctly: “ eleven " or " eleven »?
Twelve
Thank our great members per game
Thanks EVERYONE!!!
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 |
|||||
Surname | Number of points. | 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 |
|||
Surname | Number of points. | 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)
or
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.
extracurricular activity
"Physics and Mathematics Tournament"
among students 9 X classes
Completed: teacher of physics Moiseikina L.F., teacher of mathematics Zhuravleva I.V.
Event goals:
activation of cognitive activity of students;
development of skills to think quickly and effectively;
development of knowledge and skills acquired in the learning process;
increasing cognitive interest in physics and mathematics;
development of a culture of collective thinking;
fostering a sense of responsibility for the team, a sense of solidarity and healthy rivalry.
Conduct form: quiz.
Technology: group work.
Equipment: tables for players of two teams and for members of the jury; computer; interactive board; emblems for teams; evaluation sheet of the game for the jury; answer sheets for final game; game presentation.
Participation: 2 teams from each class participate in the game, 5 people in each team.
Age of participants: Grade 9
Preparatory work: 1. Repeat the material covered.
2. Come up with a team name, greeting and motto,
choose a captain, make an emblem.
Game progress
Dear friends, guests and participants of our game! We are glad to welcome you to the Physics and Mathematics Tournament. For whom are we hosting the tournament today? Of course, for you, our beloved students! We want you to have a little rest today, to get to know each other's talents and abilities better, to think about questions and answers, to show your knowledge, in general, to have a good time. The motto for our game will be the words of the medieval Persian scholar Al-Biruni: “Knowledge is the most excellent of human possessions. Everyone strives for it, but it does not come by itself.”
Two teams compete in the tournament today:
1.Team "Thinkers" (students of 9 "A" class), team captain - ...
As part of the team…
2.Team "Clever" (students of 9 "B" class), team captain - ...
As part of the team…
Teams, please provide us with your motto and salutation.
Team Thinkers
Greetings We are not afraid
Any test.
Go ahead, friends
Let's show our knowledge!
Our motto: We will think, convince,
Going to the final to win!
Team "Smart"
Greetings We are smart and brave
We are good at what we do.
We will win this time
Our opponent is not a decree!
Our motto: One mind is good, but the mind of a team is better!
Teams will be evaluated by a strict and fair jury(jury presentation).
Let's get acquainted with the rules of the game.
Rules of the game
The game consists of 2 rounds and the final.
Each round has 4 topics (in physics and mathematics) with 5 questions each. Topics and cost of questions are indicated on the scoreboard of each round. The teams take turns playing the game. The topic and cost of the question is chosen by the team captain. The selected question is read by the moderator. You have 30 seconds to think about the question. The captain indicates the player who will answer the question or answer himself. If the team answers correctly, then it receives the number of points of the chosen category. Wrong answer - 0 points.
If a team chooses the "Pig in a Poke" question, then it can answer it itself or can pass this question to another team.
In the final, the teams think over the question for 30 seconds and give a written answer. The team with the correct answer gets 100 points.
The points earned by the teams are counted by the members of the jury. The team with the most points wins.
Fans can also show off their knowledge. If the teams did not answer the question, the fans answer and the points received are given to their favorite team.
So we start our tournament.
We wish you, friends,
Fight hard and bravely.
Who will get the victory
It doesn't matter at all.
Let the fight rage on
Live the competition.
Success is not fate
But only your knowledge!
Draw. The first team to answer the question starts the game.
I round
FORMULA ANDDEFINITIONS
TOOLS
AND DEVICES
IN THE WORLD OF NUMBERS
FAMOUS PEOPLE
FORMULA AND DEFINITIONS
Change method internal energy body without doing work.(Heat transfer)
Three horses in a team ran 90 km. How many kilometers did each horse run?(90 km)
What does this formula express?(The equilibrium condition of the lever)
What are the coordinates of a point called?( Abscissa and ordinate )
Which graph corresponds to the formula What is it called?
1) 2) 3) 4)
(Chart #3, hyperbole)
TOOLS AND DEVICES
Plank for drawing straight lines and for measurements.(Ruler)
There is a plate on the wall
An arrow moves across the plate.
This forward arrow
We know the weather.(Barometer)
Name the extra device: beaker, spirit lamp, dynamometer, thermometer.(alcohol lamp)
IN Ancient Egypt and in Ancient Greece long before our era, this device was used for computing. It was a board with stripes along which pebbles moved. What is this?(Abacus)
Remove the extra word from the row: path, speed, meter, time,square , second.
IN THE WORLD OF NUMBERS
These numbers appeared in connection with the need to count objects.(Natural)
The number by which to divide.(Divider)
Which is greater: the product of numbers or their sum?(Sum, since the product of the digits is zero)
What number has as many digits as there are letters?(100 - one hundred)
What is this number equal to if this number is equal to 40?(50)
FAMOUS PEOPLE
Which of the great mathematicians is called the "father of algebra"?(Viet)
A scientist who is known as the creator of the school of mathematicians.
He was the first to divide numbers into even and odd, prime and composite.(Pythagoras)
To study one phenomenon, this scientist climbed the Pisa
tower. Name this scientist.(Galileo)
The scientist who discovered this law was born in the city of Syracuse. Law
explains the effect of liquid and gas on a body immersed in them.
The law is open in the bath.(Archimedes)
Two almost identical numbers, the difference between which is only in the sign.(Opposite)
II round
REBUSES
100
PHYSICS
100
PUZZLES
100
UNITS
MEASUREMENTS
100
REBUSES
Arrange the angles in descending order: obtuse, deployed, acute, straight.
( Deployed, blunt, straight, sharp )
25.
PHYSICS
This phenomenon occurs when two bodies come into contact.
Does more good than harm.
It is one of the reasons for the low efficiency of mechanisms.
One reason is surface roughness.. (Friction)
Name the extra scientist:Newton, Popov,Darwin , Galileo.
Name the extra prefix:milli, centi, deci,kilo .
Which Olympic motto is directly related to the letters shown
v, h, f?(Faster, higher, stronger)
There were 700 birches and 300 pines in the grove. What percentage of all trees
make up pines?(30%)
PUZZLES
Living in a difficult book
smart brothers,
Ten of them, but these brothers
They count everything in the world.(Numbers)
Stronger than the sun, weaker than the wind
No legs, but walking
No eyes, but crying.(Cloud)
The top serves me as a head.
What do you think of as legs?
Everyone is called parties.(Corner)
In the middle of the field are silver grains.(Dew)
What is the name of an object to support something?(Support or suspension )
UNITS
How many minutes are in one degree?(60 minutes)
How many minutes per hour?(24 min)
These units measure the mass of diamonds.. (Carat)
It is directly proportional to the applied force and is directly
proportional to the distance traveled, measured in Joules.
What is another name for a cubic decimeter?(Liter)
THE FINAL
Unscramble the words and name the extra:
NOKUS, YAMARYAP, ATCHOK, LOPSOTKS(Cone)
Can a spring dynamometer measure the weight of a body in space?(No, because there is weightlessness in space, and there will be no deformation in the spring)
Yura, Grisha and Tolya took three places in the running competition. Which
a place was taken by each young man, if Grisha did not take the second and third place,
and Tolya is not the third.(Grisha - I , Tolya - II , Yura - III )
Mom cut half of the pie into 6 equal pieces. One piece she
gave Dima. What part of the pie did Dima get?(
Characteristic of the surface of a body that affects its radiative
and absorbency.(Color)
Here the game is over.
It's time to sum up.
Who worked the best
Did you excel in the tournament?
Summarizing
Determining the winner and awarding.
Summed up.
The awards have been given.
The tournament is over.
You were active.
From gaming tasks to knowledge
The teams walked together.
But the main victories
Of course ahead!
I wish you guys
Bon Voyage!
Artists competition. “Each hand has its own business” At the expense of 1, 2, 3, simultaneously draw the number 9 with your left hand, and the number 6 with your right. Right hand draw a rectangle, and the left - a triangle. "Space of fantasy" Without lifting the chalk from the board, draw a swan. Draw a person with numbers.
Competition "Connoisseurs of proverbs" Insert the numeral: Do not have ... rubles, but have ... friends. Do not have ... rubles, but have ... friends. ... try it on once, ... cut it off once. ... try it on once, ... cut it off once. You will chase after ... hares, nor ... you will catch. You will chase after ... hares, nor ... you will catch. All for one, ... for all. All for one, ... for all. The mind is good, but ... better. The mind is good, but ... better. ... there is no warrior in the field. ... there is no warrior in the field.
Riddles competition Read the text correctly and guess the riddles: 7 brothers: equal for years, different names. 7 brothers: equal for years, different names. 5 closets, 1 door. 5 closets, 1 door. 1 talking, 2 looking, 2 listening. 1 talking, 2 looking, 2 listening. 2 mothers have 5 sons, all in 1 name. 2 mothers have 5 sons, all in 1 name. 2 heads, 2 arms, 6 legs. Who is this? 2 heads, 2 arms, 6 legs. Who is this?
This is interesting: 14-year-old girl Jyoti Amge (Jyoti Amge) from India and claims the title of the most little man. On this moment the official record belongs to the Chinese He Pingping with a height of 74.61 cm. And the height of Jyoti Amge is 58 centimeters. The girl, unlike her classmates, weighs only 5 kilograms.
Fan Contest Horizontally: 2. A natural number divisible by a given natural number. 5. True equality of two quotients. 8. Measure of length. 9. Subtraction component. 10. A closed line, all points of which are at the same distance from one point. 11. Multiplication component. Vertically: 1. A segment connecting a point of a circle with its center. 2. The result of solving the equation. 3. Equality with a variable. 4. In language - a letter, in mathematics - ... 6. Sign of addition. 7. Sign of subtraction.
