Extracurricular activity: "Journey to a fairy tale"

Objective:expand students' knowledge of addition and subtraction of fractions.

Challenges:
(a) educational:

• To cultivate respect for each other, mutual understanding, self-confidence;
• To contribute to the development of students’ desires and needs for studying mathematics.

(b) developmental:

• Development of intelligence, will, emotions;
• Speech development;
• Development of diligence, independence in solving tasks.

(c) educational:

• Continue to develop skills for performing actions on fractions;
• Repeat ways to solve the simplest problems by percentage.

Equipment:chalk; board; pen, sheets for solving tasks; cards with tasks; visibility, contributing to the lesson (the hut of Baba-Yaga, the cat carriage in boots, the houses of Malvina and Old Man Hottabych).

Class progress

Teacher.Hello, guys. Today we will make an exciting journey. I got into my hands a letter from Old Man Hottabych, in which he proposes to make a trip to the Kingdom of Fairy Tales.
“Dear guys!
Today I invite everyone who loves fairy tales and mathematics to make an exciting journey. You are waiting to meet with fairy tale heroes. On the way, of course, there will be difficulties and obstacles that you must overcome. I'm sending you a carpet-plane that can only climb if you solve the problem: The speed of the carpet is 10.58 km / h. Round this number to one. I wish you a pleasant journey. Looking forward to seeing you.
Old man Hottabych.

Teacher.. Guys, let's solve the problem and continue the journey.
Solving the problem.
10.58 km/h ” 11 km/h.

Teacher.. Landing on the carpet is over. We're going to the Kingdom of Fairy Tales. Below us is the thirtieth kingdom, the thirtieth state. The carpet-plane descends and we enter the fairytale land.
You will have a long journey through the kingdom of fairy tales. You will know the length of this road by solving the following problem.
The road consists of four sections. The first section has a length of 4.35 km, the second - 5.75 km, the third - 6.95 km, the fourth - 2.8 km. Find the length of the road and round the value to one hundredth.
Solving the problem. 1) 4.35 + 5.75 + 6.95 + 2.8 = 19.85 (km) road length.
2) 19.85 km” 20 km.
(3) 19.85 km” 19.9 km.
Answer: 19.85 km.
Teacher.Let's go! But what is it? It's Baba Yaga's house.
Baba - Yaga. Kids, help me, unlock the door! I had an argument with Koshchei the Immortal, and he closed the door - no sorcery helps to open it. And he said that the door would open itself if you found the root of the equation 16.5 (x + 3.4) = 4.9. The word "root" - then I know, for the winter, how many roots have dried, and what kind of sophisticated word "equation" - I have not heard. Help, don't leave the old lady in trouble.
Teacher.. Guys, let's solve the equation, help Babe Yaga.

Solving the equation

16.5 - (x + 3.4) = 4.9
x + 3.4 = 16.5 - 4.9
x + 3.4 = 11.6
x = 11.6 - 3.4
x = 8.2.
Answer: x = 8.2.

Baba - Yaga. Thank you guys, keep a glomerulus - it will help you meet other fairy tale heroes.
Teacher.We're on our way. But what do I see? The river blocked the road and the bridge was not visible. What do we do?
Student.Look, it says something here.
“If you help a boater know the speed of his boat, he will transport you to the other shore. The speed of the river is 1.7 km / h, the speed of the boat against the flow of the river is 3.8 km / h. What's the speed of the boat?

Solving the problem.
1) 3.8 + 1.7 = 5.5 (km/h) boat speed.
Answer: 5.5 km/h.

Teacher.We got across the river in time because I can see the cat in his boots.
Students.Hello, Cat in Boots. Give us a ride in your carriage.
Cat in boots.Hello, guys. I could give you a ride. But the kosari asked me to help them solve the problem, and until I solve it, the carriage will not move. If you help me, I'll get through the task faster and get on the road.
Teacher.. Can we help the cat in his boots solve the problem?
Students.. We will.
Cat in boots. Then listen to the task.
On the first day, Kosari mowed down a wheat field of 18.37 hectares, 5.7 hectares more than on the second day and 2.21 hectares more than on the third day. What area did the kosari mow down in three days?

{module Yandex}

Solving the problem.
1) 18.37 - 5.7 = 12.67 (ha) mowed on the second day.
(2) 18.37 - 2.21 = 16.16 (ha) mowed on the third day.
(3) 18.37 + 12.67 + 16.16 = 47.2 (ha) mowed in three days.

Answer: 47.2 hectares.

Cat in boots. Thank you guys. I'll give you a ride.
Teacher.Look, guys, who's sitting so sad?
Students.It's Buratino! Who upset you so much, Buratino?
boratino. Malvina! Very smart! He decides some examples all day and makes me, and even threatens to leave without lunch! Help me with the task.
Students.Of course we will.

Teacher.Back on the road! I see a house. Let's go in there. Look carefully. In the far corner of the room sits our friend Old Man Hottabych. But what is it? He's upset about something.
Old man Hottabych.. Woe to me! The mice climbed into the closet of my manuscripts and ruined them terribly. I suffer, suffer, but not how I can not restore them. Help, guys!
Insert the missing numbers instead of *.

{module Google_kvadrat}

Old man Hottabych.. Thank you guys! And now try to guess mine to call it “profession”, having the clue (answers to tasks) 30.4 – “and”, 72 – “n”, 385 – “d”, 6.67 – “g”.
Missions.

• Round to units: 384,952.
• Solve the equation: x + 16.23 - 15.8 = 7.1.
• Calculate: 50 - 22.84 + 3.24.
• Solve the equation: x : 9 = 8.

(After completing all the tasks, students add the word “Gin” from the letters.)

Teacher.We found out what the “professional” of Old Man Hottabych. But in order to go back, we need to solve another problem.
The brigade was instructed to repair a section of the road with a length of 760 m. How many meters of road will they repair when they complete 30% of the task, 50% of the task, 10% of the task?
Solving the problem.
1) 760 : 100 = 7,6 (м) 1%
2) 7,6 × 30 = 228 (м) 30%
3) 7,6 × 50 = 380 (м) 50%
4) 7,6 × 10 = 76 (м) 10%

Answer: 228 m, 380 m, 76 m.

Teacher.We have finished our journey through a fairytale land. Did you enjoy our trip?
Students.I like it.
Teacher.What have you done usefully in this class?
Students.We repeated the rounding of numbers, solving problems by percentages, helped many fairy tale characters to cope with difficult situations.
Teacher.. Well done, guys. Our class is over.

{module Yandex}