Extracurricular activity in mathematics “The Entertaining World of Problems”, 6th grade.

Lesson - game "Math Competition" in 6th grade

Lesson summary – game “Math Competition”, 6th grade

Author: Lyudmila Vasilievna Bitkova, first category mathematics teacher, municipal budgetary educational institution “Lesnaya basic secondary school”, Lesnoy village of Zubovo - Polyansky district of the Republic of Mordovia. Description of material: This lesson is intended for 6th grade students. The form of the lesson is a competition between students. The lesson allows students to deepen their knowledge of mathematics and instills interest in such a serious and at the same time interesting subject as mathematics. Such an event can be carried out both during the subject week between parallel classes, and at the end of the quarter in the last lesson between students of the same class, as well as during extracurricular activities in mathematics. Age category of participants: 6th grade students. Venue: classroom. Form of conduct: competition. Goal: instilling interest in mathematics, developing cognitive interest. Objectives: Educational objective: repeat and generalize previously studied material, improve computational skills. Educational task: to develop the ability to manage one’s behavior and obey the demands of the team. Developmental task: to develop creative activity, logical thinking, speech, memory, attention. Equipment and materials: computer, handouts, posters: “Mathematics is the queen of sciences, arithmetic is the queen of mathematics,” “May the best man win!” Preliminary work. Kick-off conversations are being held with 6th grade students about the event.
Selection of tasks for teams, creation of presentations, task cards, crossword puzzle. Progress of the event.

I Organizational moment

-Hello guys! Today we have not an ordinary lesson, but a competition lesson! Our game involves two teams (team names). Teams will go through several tests in which they must demonstrate all their knowledge in mathematics. We will repeat and summarize the knowledge that you received in sixth grade.

II Motivation

For each successfully and quickly completed stage, teams receive points. The team that gets the most points will win. But for active participation in the quiz, each of you has the opportunity to get a good grade! You have a score sheet on your desk. Don't forget to enter your points into it.

III Update

Come on guys, let's count: Divide, add, multiply, subtract. Show your wits: Count, draw, draw! Well done to all of you! You are all daredevils! And may mathematics be your favorite throughout the years! She is both serious and difficult! But if you try a little, You can play and joke with her, Laugh and smile!

IV. Competition game

Stage 1: Collect a statement.
Assignment: Each team receives a set of cards from which they need to quickly make a statement. For a completed task, each team member receives 3 points. First team card:

Card for the second team:

Having worked hard, you collected the words. The words should now be connected. What phrase can they be combined into? What statement did you get? Answer: Mathematics is the queen of sciences, arithmetic is the queen of mathematics. (A pre-prepared poster is hung on the board.) This is a statement by a famous German mathematician of the last century. What was his name? Answer:
Carl Gauss.
Student message about Karl Gauss. Karl Gauss, who later became one of the greatest mathematicians of the 19th century (he was even called the “king of mathematicians”), revealed his talents very early.
It is said that at the age of three he noticed an error made by his father in calculations. And from the age of seven the boy went to school. At that time, students from different classes studied in the same classroom. To keep the first-graders occupied while he taught the third grade, the teacher ordered them to add up all the numbers from 1 to 100. But before he could finish reading the terms of the problem, little Karl wrote the answer on his board and put it on the teacher’s table. The teacher was surprised, but the answer was correct: 5050, and there were no calculations. The amazed teacher realized that he had met the most capable student of his life. Subsequently, Gauss made many significant discoveries in mathematics. Stage 2: Blitz tournament

(1 point for the correct answer) And now, guys, I will ask you questions.
Whoever knows the answer raises his hand. For the correct answer the player receives 1 point. If a player gives the wrong answer, then any other player who raised his hand first can answer. This means you earn points for yourself and for the team. Be very careful, as the questions offered are both serious and humorous. A labyrinth of difficult questions. Our knowledge and skills will help us solve them with ingenuity in half. Questions: 1. How many numbers do you know?
(10) 2. Which number is neither prime nor composite? (1) 3. Smallest seven-digit number? (1000,000) 4. Hundredth part of a number? (Percentage) 5. Which is lighter: one kilogram of cotton wool or one kilogram of iron? (Equal) 6. What is the name of the first coordinate of a point? (Abscissa.) 7. What is one-fourth of an hour? (15 min) 8. Largest negative integer? (-1) 9. Smallest prime number? (2) 10. There are 16.38 kg in a pood. Round to the nearest unit. (16) 11. What number must you divide 2 by to get 4? (1/2) 12. What is the name for a pair of numbers that determine the position of a point on a plane. (Coordinate points) 13. Three horses were running. Each horse ran 5 km. How many kilometers did the driver travel? (5 km) 14. Son with father, and grandfather with grandson. Are there many of them? (3) 15. How many people are in the team Ali - Baba (40) 16. Is zero’s opponent? (cross) 17. There are 4 rooms in the house, one was made into 2. How many rooms were there? (5) 18. Do both the plant and the equation have? (roots) 19. What shaft is depicted in Aivazovsky’s painting? (9) 20. What will happen yesterday and what happened tomorrow? (today) Stage 3 Coordinate relay

-And we move on.
Two rectangular coordinate systems are drawn on the board for one and the other team. The coordinates of the points are recorded. Participants take turns placing these points on the coordinate plane and connecting them to the previous point with a segment. The result will be a certain pattern. Whichever team completes the task faster is the winner. This task is worth 3 points. Task for the first team: (0.0), (-1.1), (-3.1), (-2.3), (-3.3), (-4.6), (0.8 ), (2.5), (2.11), (6.10), (3.9), (4.5), (3.0), (2.0), (1.-7) , (3,-8), (0,-8), (0,0) eyes (3; 10) Answer:
Task for the second team: (4; -3), (6; 0), (1; 12 ), (5; 12), (1; 14), (0; 12), (3; 1), (-6; 4), (-7; 3), (-9; 4), (-9 ; 1), (-10; 0), (-8; -3), (4; -3) eyes (2; 13)
Answer:

Stage 4 Mathematical charades

Let sharp humor, jokes, and laughter accompany the struggle.
And it will be a slogan for everyone: “Let the strongest win!” 1. I bring pain with me, There is a great distortion in my face. And if you replace “F” with “P”, then I will immediately turn into a sign of addition. (Flux-plus.)
2. The number is considered lucky; it is used when counting.
And they changed the “M” to “T” - And they caught a lot of fish. (Seven is a network.)
3. The game - horses are needed in it, Attach the offense to the game.
And call, my friend, boldly That which has long been no longer whole. (Polo + Vina = Half.)
4. First - two.
Next is a man, He has a high title and rank. And the whole word is a designation, crushing training into doses. (Pair + Graph = Paragraph.)
5. Mathematical relay race

“There is something in mathematics that evokes human delight,” said the scientist Hausdorff.
Let's see what can delight you and me. To do this, we will hold a mathematical relay race. I give cards with a task (an example for all actions) for the first and second teams (the tasks are the same). The players of the first desk perform the first action, pass it on to the other desk, they decide the second action, and so on. Solve on the task sheet. If you notice that one of the team members has decided incorrectly, you can correct his action. The latter gives the sheet with the completed task to the teacher. The first one to do it correctly is the winner. The task is worth 5 points. Answer:
-1/3
Stage 6 Rebuses (for each word guessed 1 point) Each team is given cards with a task. Instead of the ellipsis, put the number in words to make a word. The assignment is then checked and graded. You are given 1 minute for the task. 1.Li...k (li hundred k); 2. By...l ( two l each); 3.S…zh (s three w); 4. Pi…years (pi hundred years); 5. S...zhka (with three zhka); 6. R…a (p one a); 7. ...tone ( three tone) 8....g ( one hundred g); 9.I...k (and one hundred k) 10.O... (about five );11...I ( Seven I); 12…lb ( one hundred lb).
Stage 7 Math crossword

There are sheets of crossword puzzles on your table.
You need to insert words into the crossword puzzle to read the word in the highlighted rectangle. The words are written at the bottom of the crossword puzzle. You need to insert words into the crossword puzzle to read the word in the highlighted rectangle. For a correctly guessed crossword puzzle 5 points. 1 minute is given. Words: parallelepiped, ton, circle, weave, algebra, centimeter, kilometer, square, gram, meter.

Answer:

Stage 8 Mathematical problems

- So, mathematics is good for human mental development.
It makes you think, figure out, look for simple and beautiful solutions; trains memory, develops thinking, attention, strengthens character. I offer logical tasks . Whoever knows the answer raises his hand. For each correct answer 1 point.

Learn to think, explain, Learn to think, reason. After all, in mathematics, friends, you cannot do without logic. 1. A pear is heavier than an apple, and an apple is heavier than a peach. What is heavier, a pear or a peach? Answer: pear.
2. If tomorrow were yesterday, then there would be as many days left until Sunday as there were from Sunday to yesterday.
What day is it today? Answer: Wednesday.
3. Two boys played guitars, and one played a balalaika.
What did Yura play if Misha and Petya and Petya and Yura played different instruments. Answer: Yura played the guitar.
4. An absent-minded housewife has three boxes for seedlings with the inscriptions “cucumbers”, “flowers”, “daisies”.
She planted cucumbers in these boxes. Daisies and bells so that all the inscriptions turned out to be incorrect. What will the housewife grow in which box? Answer: “Cucumbers” are daisies; “flowers” ​​- cucumbers; "daisies" - bells. Combinatorial problems. 1. There are 10 girls and 15 boys in the class.
How many options are there for choosing a pair in which there is one boy and one girl. (150) 2. How many options are there to bring a lion, a tiger, a puma and a bear one after another into the circus arena? (4! = 24) V Summing up the game
Teams count their points.
The teacher gives grades. Winner's reward ceremony. - Guys, you are all great! You were all diligent, grades are required for everyone! I hope this lesson sparked everyone's interest in math! And my wish for you is that what you can do well, don’t forget, and what you can’t do, learn.

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