Lesson-game in mathematics "Dractions and percentages"

Goals:

1. Awakening interest in mathematics by introducing interesting tasks, entertaining exercises into it.
2. Cohesion of the children's team.
3. Consolidation of the knowledge and skills of students on the topics "Dractions and percentages".
4. Through tasks to give students useful information about architectural monuments, about their native village and about a healthy lifestyle.

Equipment:computer, projects, presentation with tasks.

Progress of the event
1. Team presentation
Host 1.
Hello dear guests, spectators and participants. We're not playing a normal game today. We learn how important fractions and percentages play in our lives.
So here's the teams.
First Team Droby. Applause for the first team.
Second team, Percent. Applause for team two.

2. Rules of the game.
Host 2.
It's 3 rounds. Theme of the 2nd round "Monuments of architecture"
Theme of the 2nd round "My village"
The theme of the 3rd round is “Healthy lifestyle”.
There are 4 questions in each round. For each correct answer, the team receives 1 point. If the team answered incorrectly, the right of reply goes to the 2nd team. If and 2 the team answers incorrectly, the right of reply passes to the audience. According to the results of the game, the winning team is revealed, and the viewer who answered the most questions correctly is awarded the title “The Smartest Fan”.

3. Gameplay.

1 round. Architectural monuments

Task 1.
Peter and Paul Cathedral is the main building of the Peter and Paul Fortress. In the Peter and Paul Cathedral is the largest collection of paintings of Peter’s time. The composition of the iconostasis includes 43 icons. At that time it was the tallest building in Russia.
Find the height of Peter and Paul Cathedral, if it is known that 3/5 of this number is 73.5 m.
Solution.
73.5 : 3/5 = 122.5 (m)

Task 2
The Hermitage is one of the largest museums in the world. Now it has more than three million exhibits. The date of foundation of the Hermitage is considered to be the year when Catherine II acquired the collection of merchant Gotsky from 225 paintings by famous European masters. Find the year of foundation of the Hermitage, if you know that 1⁄4 of this number is 441.
Solution.
441: 1⁄4 = 1764

Task 3.
The northern capital, like a precious necklace, is surrounded by suburbs, where the former royal residences are located. First of all, this is Peterhof – a grand architectural and park ensemble of the XVIII-XIX centuries, which is decorated with more than a hundred fountains. More than thirty buildings and pavilions were built on its territory.
How many hectares does Peterhof occupy if it is known that 36% of this number is equal to 360.
Solution.
360 : 0.36 = 1000 (ha)

Task 4.
St. Isaac’s Cathedral in the city of St. Petersburg among the domed churches in its size is on the 4th place in the world. Its height is 101.5 m, the inner diameter of the dome is 21.8 m, and the outer 25.8 m. The building is surrounded by 12 monolithic columns 17 m high and weighing 114 tons. The temple can accommodate 14,000 people at a time.
Find the length and width of the temple if you know that

Solution.

Round 2. My village.

Task 1.
The area of the territory of the Voronezh region is 51876 km2. Find the area of the Anninsky district, if you know that it is 4% of the territory of the Voronezh region.
Solution.
51876 · 0.04 = 2075.04 (km2 )
Answer: 2075.04 km2.

Task 2.
The length of the section of the Bityug River, flowing through the Voronezh region is 285, 76 km, which is 76% of the length of the entire river. Find the length of the river.
Solution.
285.76 : 0.76 = 376 (km)
Answer: 376 km.

Task 3.
In 2009, the population of the Voronezh region was 2456256 people, and Anninsky district 49125 people. What part of the population of the Voronezh region was the population of the Anninsky district this year? (Response round to whole.)
Solution.
49125 : 2456256 · 100 = 2 (%)

Task 4.
Last season Sadov sugar plant received 38,580 tons of sugar. How many tons of sugar beets have been recycled when it is known that sugar production is 88% waste?
Solution.

Answer: 321,500.

Round 3. Healthy lifestyle

Task 1.
A serious employer may not hire or fire a smoker. If a good typist secretary smokes, she will have 4% errors on a 800-character printed text page. How many mistakes will a typist make on this page?
Solution.
800 · 0,04 = 32 (ш.)

Task 2.
Smoking children reduce their lives by 15%. Determine the estimated life expectancy of current smoking children, if the average life expectancy in Russia is 56 years.
Solution.

Answer: 47.6.

Task 3.
The average weight of a newborn baby is 3kg300g. If a child has a smoking father, his weight will be less than the average by 132 g, if the smoking mother – less by 297 g. Determine how much weight a newborn loses if both parents smoke.
Solution.

Answer: 4%, 9%, 13%.

Task 4.
When burning a cigarette, 50% of nicotine with smoke goes into the air, the amount of nicotine entering the human body is 40% of what goes into the air with smoke. What percentage of nicotine enters the human body?
Solution.

Answer: 20%.

4. Taking stock

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Game in .PPS format (made in the program MS PowerPoint).

2.68 Mbb