teacher of mathematics and computer science
Municipal educational institution Anninskaya secondary school No. 3 with educational institution
Voronezh Oblast
Objectives:
- Awakening interest in mathematics by introducing interesting problems and entertaining exercises into it.
- Rallying a children's team.
- Consolidation of students' knowledge and skills on the topics "Fractures and interest rates".
- Through the tasks of giving students useful information about architectural monuments, their native village and a healthy lifestyle.
Equipment: computer, projects, presentation with tasks.
Event progress
1 Presentation of commands
Presenter 1.
Hello distinguished guests, spectators and participants Today we don't have the usual game We will learn the important role fractions and percentages play in our lives.
So, we present the teams.
First Team Droby First Team Applause First Team.
Second team "Percentages" Applause to the second team.
2, Rules of the Game.
Presenter 2.
In Game 3 Round Theme 2 Round Monuments of Architecture
Theme 2 of the round "My Village"
Theme 3 of the Healthy Living Tour.
Each round has 4 questions For each correct answer, the team receives 1 point If the team answered incorrectly, the right to answer goes to 2 teams If 2 teams respond incorrectly, the right to answer goes to the audience The game reveals the team - winner, and the viewer who answered the most questions correctly is awarded the title "Smartest Fan".
3, Game progress.
1st round Architectural monuments
Task #1.
Peter and Paul Cathedral - the main structure of the Peter and Paul Fortress - Peter and Paul Cathedral houses the largest collection of paintings from Peter the Great's time, 43 icons are included in the composition of the iconostasis At that time it was the tallest building in Russia.
Find the height of the Peter and Paul Cathedral if you know that 3/5 of this number is 73.5m.
Solution.
73.5 : 3/5 = 122.5 (m)
Task #2
Hermitage - one of the largest museums in the world. Now it houses more than three million exhibits. The founding date of the Hermitage is considered to be the year when Catherine II acquired the collection of the merchant Gotsky from 225 paintings by famous European masters. Find the year the Hermitage was founded if you know that 1⁄4 of this number is 441.
Solution.
441 : 1⁄4 = 1764
Task #3.
The northern capital is surrounded, like a precious necklace, by suburbs where former royal residences are located, most notably Peterhof - grandiose architecturally - 18th-19th century park ensemble, which is decorated with more than a hundred fountains, and has over thirty buildings and pavilions built on its grounds.
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 St. Petersburg - St. Petersburg, among domed churches, ranks 4th in size in the world. Its height is 101.5m, the inner diameter of the dome is 21.8m, and the outer diameter is 25.8m. The building is surrounded by 12 monolithic columns 17m high and weighing 114 tons. The temple can simultaneously accommodate 14,000 people.
Find the length and width of the temple if you know that
- length is 5% of the number 2226;
- the width is 20% of the number 488.
Solution.
- 2226 0.05 = 111.3 (m)
- 488 0.2 = 97.6 (m)
Round 2. My village
Task #1.
The area of the territory of the Voronezh region is 51876 km2. Find the area of the territory of the Anninsky district if it is known 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 Voronezh Oblast was 2,456,256, and Anninsky District 49,125, which part of the population of Voronezh Oblast was the population of Anninsky District this year? (Round to whole answer).
Solution.
49125 : 2456256 100 = 2 (%)
Task #4.
Last season, the Sadovsky Sugar Factory received 38,580 tons of sugar. How many tons of sugar beets have been processed if sugar production waste is known to be 88%?
Solution.
- 100 - 88 = 12 (%) - Sugar yield.
- 38580 : 0.12 = 321500 (t) - Sugar produced.
Answer: 321500.
Round 3 Healthy Living
Task #1.
A serious employer may not hire or fire a smoker The reason for this may be explained by the following example: if a good secretary-typist smokes, then on a page of printed text of 800 characters she will have 4% errors. How many mistakes will the typist make on this page
Solution.
800 0.04 = 32 (w)
Task #2.
Smoking children shorten their lives by 15%. Determine what the estimated life expectancy of current smoking children is if the average life expectancy in Russia is 56 years.
Solution.
- 56 0.15 = 8.4 (g) - life expectancy reduction.
- 56 - 8.4 = 47.6 (L) - Life expectancy.
Answer: 47.6.
Task #3.
Average weight of a newborn child 3kg300g. If a child has a smoking father, then his weight will be 132g less than average if the smoking mother is 297g less. Determine how much % the newborn loses in weight if both parents smoke.
Solution.
- 132 : 3300 100 = 4 (%) - are 125 grams.
- 297 : 3300 100 = 9 (%) - are 300 grams.
- 4 + 9 = 13 (%) - loses a child if both parents smoke.
Answer: 4%, 9%, 13%.
Task #4.
When a cigarette burns, 50% of the nicotine and smoke goes into the air, the amount of nicotine entering the human body is 40% of what goes into the air with the smoke. How many percent of nicotine enters the human body?
Solution.
- 50 0.4 = 20 (%) - Ingested in humans.
Answer: 20%.
4 Summing up
{module Google_kvadrat|none}
Game in.PPS format (made in MS PowerPoint).
2.68 Mb
